placement written paper-3

Never try to solve the questions first that have more number of lines. Try to read last line of the questions because first lines will be of unrelevated data coming to questions first search for the numerical data in the questions and just the logic how the questions can be solved


1. Which is the smallest no divides 2880 and gives a perfect square?


a.1 b.2 c.5 d.6


Ans: c


2. In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How many bicycles are there?


Ans: 15


3. Man, Bear, North, South, walks. Colour of bear(Hint: North pole )


Ans: White


4. A father has 7 penny�s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe 1p.he has three sons. How can he share the fruits equally?


Ans: 1 watermelon, 2chickoos, 1grape


5. (1/2) of a number is 3 times more than the (1/6) of the same number?


Ans: 9


6. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160�.if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?


Ans: 7 hours


7. In a market 4 man are standing .the average age of the four before 4years is 45,aftyer some days one man is added and his age is 49.what is the average weight of all?


Ans: 49


8. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.


(1) 5 (2) 6 (3) 7 (4) None


Ans 6. because different no of persons are sitting on round table. So possible differnt combinations for 10 people will be 1 2 3 4. because max 4 people can sit on round table. so round tables left are 6.


9. A person do rock climbing at an altitude of 800 m.He go up by 7 mph. and come down by 9 mph. what was his av speed.


Ans (7+9)/2=8.


10. A boy want to make a cuboid of dimension 5m, 6m, 7m. from small cubes of .03 m3. later he realized he can make same cuboid by making it hollow. Then it take some cubes less. What is the no. of these cube.


Ans. Vol of solid cuboid= 5*6*7=210 m3. Vol of its inner cuboid by removal of which the cuboid will be hollow= (5-2)*(6-2)*(7-2)=60 m3, then ans will be 60/.03


11. Two years ago A was 6 times older than B. Now he is 2 times older than B. What is the age of A.


Ans. Age of A=5, Age of B= Two and half.


12. What is thew value of (78*78*78-45*45*45)/(78*78+78*45+45*45)


Ans. 78-45=33. HINT:a3-b3=(a-b)(a2+ab+b2)


13. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys
a) 1/64 b) 1/32 c) 1/128 d) 1/256
ans:probability=(1/2)^6=1/64


14. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?


a) 17 b) 21.25 c) 12.25 d) 14.05


Ans:put d=7 in given equation and square both side and then find the value of t.


15.Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.


a) 20.72 b) 3.5 c) 238.25 d) 6.18


ans:Ferrari speed =4*Mercedes speed =4*35=140, t=490/140=3.5


16.1/3) of a number is 3 more than the (1/6) of the same number?
a) 6 b) 7 c) 18 d) 9


ans:x/3=3+x/6 x/3-x/6=3 x/6=3 x=18


17. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 26 hours, what is total duration of hours required to fill it completely?
a) 26 B) 31 c) 5 d) 27


ans: 1/32 in 26
2/32 in 27
4/32 in 28
8/32 in 29
16/32 in 30
32/32 in 31


18. lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
a) 50 b) 8 c) 40 d) 42

Solution:
This is the most repeated question in Tcs so prepare it well. It has no logic but it’s answer comes like this
Firstly add 2 max values i.e 20+18=38
Then add 2 to answer i.e. 38+2=40 so this is the answer.


19. There is a square. 5 circles are kept on the diagonal of the square such that the two extreme circles touch the two sides of the square.each circle has equal radius.find the ratio of side of hte squae to that of the radius.


ans: diagonal=(root 2)*a , a= side of the square.
The additon of diameters of all the circles is equal to (root2)*a


2*7*r=(root2)*a


But the two extreme circles wiil not touch at the corners so we have to find those distances.
x=distanse at on corner=r*((root2)-1)
but toal distance=2*x due to 2nd corner


hence tatladistance=2*x+2*7*r
or 2*x+2*7*r=(root2)*a
now you can find the ratio easily.
I think that this is oneof the most conceptual question in the paper.


20. A Sheet of paper has statements number from 1 to 20. Statement n says "At least n of the statements on this sheet are true". Which statements are true and which are false.

a. The even no statements are true and the odd no statements are false.
b. The 1st 13 statements are false and rest are true.
c. The 1st 6 statements are true and rest are false
d. The odd no statements are true and even no. are false.

Solution: This type of question was repeated 3 times but for different case.
For this type of Questions, follow this:
At least- Ist half are true, Last half are false
Exactly- Last second one is true or (N-1)th Statement is true
Almost- All are true.
So correct answer is (C)


21.Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be?

Note: For this type of questions:
x+y-z=11
x-y-z=2
x*(y+z)=18
What should be the approach to do such type of prob?

Solution: This question was repeated 3 times for different cases
Yeah TCS has this 3 type of questions where there is
x+y-z,=11
x-y-z ==2
and x*(y+z)=18
1. Which is the smallest no divides 2880 and gives a perfect square?


a.1 b.2 c.5 d.6


Ans: c


2. Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?


(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)


3. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?


a.31250 b.97656 c.78125 d.97657


Ans: c


4. Rearrange and categorize the word ‘RAPETEKA’?


Ans: bird


5. One problem on (a3-b3)/(a2+ab+b2)


Ans: ‘a-b’


6. In school there are some bicycles and 4 wheeler wagons. One Tuesday there are 190 wheels in the campus. How many bicycles are there?


Ans: 15


7. Keywords in question (Fibonacci series, infinite series, in the middle of the question one number series is there. I got the series 3 12 7 26b 15?


Ans:54


(Logic: 3*2+1=7 12*2+2=26


7*2+1=15 26*2+2=54)


8. A lies on mon, tues, wed and speak truths on other days, B lies on thur, fri, sat and speaks truths on other days. One day a said I lied today and B said I too lied today. What is the day?


9. Man, Bear, North, South, walks.


Ans: White


10. A father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe 1p.he has three sons. How can he share the fruits equally?


Ans: 1 watermelon,2chickoos,1grape


11. (1/2) of a number is 3 times more than the (1/6) of the same number?


Ans: 9


12. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160….if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?


Ans: 7 hours


13. Keywords: T. Nagar, Chennai, 1-100, prime numbers between 140-180, How many 2’s are there?


Ans: 20 (Not only 2’s ,1’s,3’s,4’s,5’s,6’s,7’s,8’s,9’s,0’s also 20)


14. A man is standing before a painting of a man and he says I have no bro and sis and his father is my father’s son?


Ans: His son


15. One question has last part like difference between two terms is 9 and product of two numbers is 14, what is the squares of sum of numbers?


Ans:109


16. What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?


Ans:10 {the numerical may change)


17. A pizza shop made pizzas with to flavours.in home there are ‘N’ different flavors, in that ‘M’ flavors are


taken to made pizza.in how many ways they can arrange?


(Logic: NcM )


18. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times


youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of


eldest child?


Ans: 15


19. KEYWORDS: one organization ,material labor and maintenance are in the ratio of 4:6:7,the material cost is:100,what is the total cost?


Ans: 425


20. KEYWORDS: density, reluctance, sensitivity, voltage ,current, what is the resistance Formula is “R=V/I”


21. In a market 4 man are standing .the average age of the four before 4years is 45,aftyer some days one man is added and his age is 49.what is the average weight of all?


Ans: 49


22. Keywords: Sports readers, 10 tables, 4chairs per table, each table has different number of people then how many tables will left without at least one person?


Ans: 6


23. Keywords: Die, card, coin, between 2 to 12


Ans: All are equal


24. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got 79 marks in 8th


subject. what is the average of all the subjects?


Ans: 74.625


25. In a question ,last part has ,the ages of two people has the ratio of 6:6 and by adding the numbers we


get 44,after how many years the ratio would be 8:7?


Ans: 8


26. One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is the average of


their speed?


27. Two years before Paul’s age is 2times the Alice age and the present age of Paul is 6times the Alice.


What is the presents Paul’s age?( 3years) “You try to solve this question once”


These are the questions that I remember.












1) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filled


Ans 21


2) In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What’s the age of 6th person?


3) Find (4x+2y)/ (4x-2y) if x/2y=2


4) Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.


formula is 2xy/(x+y)


5) Same model as 4th question. But it is on flat surface.


Formula is same 2xy/(x+y).


6) Six friends go to pizza corner there r 2 types of pizzas. And six different flavors r there they have to select 2 flavors from 6 flavors. In how many ways we can select?


Ans: 6C2


7) 3, 15, x, 51, 53,159,161. Find X


Ans: 17


8) 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds. A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?


Ans: 4(155)/7=31


9) There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively?


Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32


10) (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume except:
1) Balsamic and Lilac
2) Woody and Lemon
3) MI mosaic and Woody
4) MI mosaic and Lilac


11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?


Ans: ((A+B+C)/4)2


12) What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).


Ans: sqrt ((d/a) 2+ (d/c) 2)


13) A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location .once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color of bear he found will be in:


Ans: white


14) (1/3) of a number is 3 times more than the (1/6) of the same number?


Ans is 18


15) There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?


a) 2 b) 2! C) 2048 d) 1024


16) A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?


Ans is 2(141) =242


17) A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?


Ans is 15 pounds


18) John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?


Ans is 23(cost price + change given).


19) In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?


Ans is 4 boys and 3 girls


20) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color.


21) There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?


a) If no. is odd it is head, if no. is even it is tail


b) If no. is odd it is tail, if no. is even it is head


c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.


I didn’t remembered last option and I don’t know answer.


22) 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?


I didn’t remember the exact values of x and y. You can solve easily.


23) metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?


Ans is (z-1) (y-x) +x.


24) There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:


a) There are 2 men who danced with equal no. of women’s


b) There are 2 women who danced with equal no. of men


25) A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round


Ans is 28.


26) There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?


Ans is B or C


27) 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?


Ans is 12C2


28) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?


a) Linda is shorter among them


b) Chelsea is taller than Julia


c) Chelsea is shorter than Julia


d) Cannot determine who is taller among Chelsea and Julia


Ans: d


29) Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?


a) 22 b) 31 c) 6 d) 32


Ans is 6


30) There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?


Ans is 20




1. (1/2) of a number is 3 more than the (1/6) of the same number?


a) 6 b)7 c)8 d)9


2.There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160…... If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely?


a) 9 B)8 c)7 d)6


3.6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?


a) 43 b)69 c)52 d)31


4. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?


a) 8 b)6 c)2 d)7


5. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?


a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph


6.A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?
a) 2000 b) 5000 c) 3000 d) 7000


7. x/2y = 2a,then 2x/x-2ay=?


a)4 b)8 c)16 d)2


8. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?


a)50 b)8 c)60 d)42


9.On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*W (t-9) for t X 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?


a) 17 b)21.25 c)12.25 d)14.05


10.In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?


a)18 b)19 c)20 d)21


11. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.


a)20.72 b) 5.18 c) 238.25 d) 6.18


12. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?


a) The even numbered statements are true and the odd numbered are false.
b) The odd numbered statements are true and the even numbered are false.
c) The first 35 statements are true and the last 35 are false.
d) The first 35 statements are false and the last 35 are false.


13.If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?


A) 13.34 b) 15.73 c) 16.73 d) 9.45


14. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?


a)21,500 b)30,000 c)21,000 d)20,000


15.One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?


a)18 b)22 c)30 d)10


16. 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”.then which day was that?
a) Sunday
b) Thursday
c) Saturday
d) Tuesday


17. Which is the smallest no which divides 2880 and gives a perfect square?


a)4 b)9 c)3 d)5


18. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?


a)57 b)56 c)59 d)58


19. how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?


20. One man want to build a wall the length and breadth of the wall are 20, 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?


Ans: l*b*35(no of bricks needed for sqcm)


21. One person had three children. He has 7 pennies. Then how he can distribute the fruits among his child by folloing conditions.


a)he can get one water millon for 1 penny.


b)he can get 2 oranges for 1 penny.


c)he can get 3 grapes for 1 penny.


Ans: 2 water mellon 1 orange 1 grape


22. 1/3 rd of a number is more 3 than the 1/6th of a number then find the number?


Ans:18


23. In Roorkee many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?


Ans:For 1 to 10 - 1 six


2 to 20 - 1 six
Similarly upto 59 we utilise six, 5 times
from 60 to 69 (including 66) - 11 times
from 70 to 100 - 3, hence ans = 5+11+3 = 19


Ans:19.


24. One grand father has 3 grand child. Eldest one age is 3 times of the youngest child age. Sum of two youngest child age is more than two of eldest one age. Find the eldest one age?


Ans: 15(we can easily predict from options, as we take y as 15)


25. Difference between two numbers is 4 and their product is 17. Then find the sum of their squers?


Ans: 70 (By using (x-y)2=x2+y2-2xy)


26.Dr.Shantram was studying a bear in d north pole. For better results he took a left turn and then went straight and then went 3 km towards south to reach his lab , wat is colour of bear?
Ans: white.


27. Which is the smallest digit when divides the 2880 gives perfect square.?


Ans:5(we can easily predict from options, as we divide them with 2880)


28. I don’t have any brothers and sisters.by pointing a picture that man said that his father is my fathers. Son then who is he?


Ans: His son


29. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. Find the age of seventh person?
Solution (x = 41, 6x = 246)
Let now we compute y,((6x+y)/7) = 45, as we have value of x, compute y.


Ans: 69


30.The ratio between the ages of two pwrsons is 6:5 and sum of there ages is 77 then how many years later there ratio becomes 8:7?


Ans: we can easily predict from options


31. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog. compute the speed of dog?


Ans: As we have speed and travel time of horse, we can get distance travelled by it.
Hence d = 22*6 = 132km,
Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr


Ans:16.5km/hr.


1. 3, 22 , 7, 45, 15, ? , 31


Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the actual question was some what twist mentioning fibonacci series and more over question was in statements (no numbers). Hence first try to understand the question well.
Here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)
Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.14. Some irrelavent data.in last two lines problem will be there. One man walks certain distance with 5 kmph and walk back the same


Ans: A


2. A and B tanks r there.1/8th of the tank B is filled in 22Hrs.what is time to fill the tank full?


Ans: 25


3. 5 friends went for week end party to Mc donalds restrurent and there they measure there weights. Some irrilevent data. Final measure is 155 kg then find the average weight of 5 people?


Ans: 155/5=31


4. 2 pots are there. 1st pot is filled with ink and 2nd pot is filled with water. Take 1 spoon of ink from 1st pot and pore it in 2nd pot and take 1 spoon of mixture from 2nd pot and pore it in 2nd pot then which one of following is true?


Ans: Water in 1st pot is less than the ink in 2nd pot.


5.There r ten spots in library and each spot has 4 tables and ten readers ar there . sorry I don’t remember complete question?


Ans: None


6. Lion and tiger are there. Lion lies on Monday, Tues, Wends and Tiger lies on Thurs, Frid, Sat. Lion said that today is one of those days when I lies. Tiger said that today is one of those days when I lie too. Then find today?


Ans: Thursday


7. There was a scientist who after doing research, found that color of skin of animals vary with change in distance. One day he started to chase a beer. He walked 1 mile towards north, then turned and walked 1 mile towards east and then caught the beer and radio-ribboned the beer Then he left the beer at that spot and returned to his base-station taking a turn towards south (walked 1 mile towards south). Then what was the color of beer at that spot?


a) white b) brown c) black d) grey


8. area of trapezium?


The area of the trapezium is given by the following formula where a and b are the lengths of the parallel sides and h is the perpendicular distance between the parallel sides.
(a+b)h/2


9. if a person moves 15km straight and turns 45km right and moves 15km straight then how much distance he needs to walk to reach starting point?


10. if there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours, how many mices are required to find the poisoned can?


Ans:


11. if a and b are mixed in 3:5 ration and b,c are mixed in 8:5 ration if the final mixture is 35 litres, find the amount of b in the final mixture


Ans:


12.1!+2!+….50!=?


Ans:


13. people:democracy::wealth: X….. X is


a) oligarchy b) anarchy c) monarchy d) democracy Ans: A


14. Form a 9 digit number by using 1,2,3,4,5 should be divisible by 4 repetition allowed


Ans: 390625


1. Inspired by fibonacci series sanket decided to create is own series which is 1,2,3,7,7,22,15,67,....


lik dis,then what no come immediately before 63?


ans= 202


xpalnaton ;check altenate no.1,3,7,15=====>n*2+1


similarly 2,7,22,67=======>n*3+1


so series is 1,2,3,7,7,22,15,67,31,202,63........


2. By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??


Ans-last 2 place should be divisible by 4


So possible values at last place are 12,24,32,44,52 this can be arranged in 5 ways


The rest 3 places can be filled in 5*5*5 way so total is 5^4


3. The cost 1 plum is 1 cent ,2 apples is 1 cent,3 banana is 1 cent........


if rahul buys same amount of fruits for his 3 sons spending 7 cent den what amount of fruit each child will get??


ans: 1 plum ,2 apple,1 banana


xplanation:7/3=2.333 cents for each child


according to ans given for d sum each child will get 1 plum ,2 apple,1 banana


4. Smita was makin 1 design .....(again some nonsence)....size of larger cube to be made is 5*5*5........


using smaller cubes of 1*1*1....she created solid larger cube ..den she decided to make hollow cube...


den hw many 1*1*1 cubes rqd to make hollow larger cube


Ans= 104


Explanation (25+25)+(15+15)+(12+12)=104


5.''susha brought terilon cloth and rope to (some nonsence nw jst go to last 2 lines)....''....


if rope is 153 mtr long and it is to be cut into pieces of 1 mtr long then how many times will she have to cut it??


Ans : 152 times


6. There are some 2 wheelers and 4 wheelers parked ........(some nonsense)...........total number of wheels present is 240


then how many 4 wheelers wer there


Ans-


This can be done by looking at the option first check the no of bicycles and then multiply it by 2.


7.The cost of making a robot consists of material cost,repairing cost,coloring cost and is in the ratio 3:4:5.if the material cost is 1200 then find out the cost of the robot.


Ans- simple 3 part is 1200 so 3+4+5=12 part=?


8.There are pepsi 1 litre & oil 1 litre .it is given as 1 spoon of pepsi is aken and is mixed with Oil. Then 1 spoon oil&pepsi is taken and is mixed with pepsi then which of the condition holds true.


Ans-the amount of pepsi in oil is mre than amount of oil in pepsi.


9. An tank is filled with water .in first hour 10 lit ,in second hour 20 lit and in 3 rd hour time 40 lit.if time taken to fill ¼ of the tank is 5 hr.what is the time required to fill up the tank.


10.Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?


(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)


11.In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How many bicycles are there?


Ans: 15


12. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160….if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?


Ans:7 hours


13. A man is standing before a painting of a man and he says I have no bro and sis and his father is my father’s son?


Ans: he himself


14. One question has last part like difference between two terms is 9 and product of two numbers is 14, what is the squares of sum of numbers?


Ans:109


15. What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?


Ans:10 {the numerical may change)


16. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got 79 marks in 8th subject. what is the average of all the subjects?


Ans: 74.625


17. In a question ,last part has ,the ages of two people has the ratio of 6:6 and by adding the numbers we get 44,after how many years the ratio would be 8:7?


Ans: 8


18.One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is the average of their speed?


19. Two years before Paul’s age is 2times the Alice age and the present age of Paul is 6times the Alice. what is the presents Paul’s age???( 3years) “u try to solve this question once”


20.if a and b are mixed in 3:5 ration and b,c are mixed in 8:5 ration if the final mixture is 35 litres,find the amount { a/b=3*8/5*8 and b/c=8*5/5*5 a/b/c=24:40:25 ans=40*35/(24+40+35)=1400/89


Ans=15.79}


of b in the final mixture


21.1!+2!+....50!=3*10^64?


22. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age of seventh person?


Solution: Here the question appear as an easy one, but carried a lot of unwanted sentences and unwanted datas(i dint mention above) in exam which may confuse u on solving technique.


23.Let x be current average age of first 6 persons in queue and current age of seventh person be y. Then 6x will become the sum of those 6 persons age.


Now, let compute the sum of those 6 persons after two years, 6x+12 (as each and individual increase their age by 2). hence its average become (6x+12)/6 = 43 (give in question itself).


So now we can compute x from above equation. (x = 41, 6x = 246)


Let now we compute y, ((6x+y)/7) = 45, as we have value of x, compute y.


Ans: 69


24. It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say?16


25. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?


a) 2


b) 3


c) 48


d) 25 ;


Solution: 3


26.if rope is 153 mtr long and it is to be cut into pieces of 1 mtr long then how many times will she have to cut it??


ans : 152 times


27.there are 2 cans A and B one of MILK and other of Water resp. , both of same qty......


first one teaspoon of milk from A can was added to B can...


then one teaspoon from B can was added to A can then wich of the folloe\wing is true..


1.Can A contain more milk than water in can B


2.Can A contain less milk than water in can B


3.both contain same qty of milk and water


Ans : option--2


28. From a rope a triangle is made of sides 21cm,24cm,28cm. from this a square is made. Find 29: X is 3 years yunger to Y. X's father is a businessman who invested 10000/- at 8% rate of interest n obtained his amount after 10 years. Y's father is a job holder who invested around 20000 at 2% rate n obtained his amount after 20 years.Now Compunded both of dem get around ABC rs/-(dnt remenbr).After 5 years the ratio of ages of X n Y is 1:2. Now X's father is 20 years older to Y n Y' father is 30 years more than X. After 20 years again X's mother asks X's father to purchase a LCD TV whch costs around 45000/-.


29.what is the age of X n Y together?


Ans: answer lies in considering two statements 2gether i.e "X is 3 years younger to Y" n "After 5 years the ratio of ages of X n Y is 1:2"


30.A old lady had three grandchildren,the difference between two children was 3 years. Her eldest grandchild was 3 times elder than the youngest one and the elder one 2 years more than the sum of the other two. Then wat is the age of the eldest child?


31.There was a grandmother in a village who had a grandchild. Upon asking her grandchild’s age she told dat she is as older as many days old as her daughter’s age in weeks and as many days as her own age in years. The sum of the three is 130. then how old is the child?


32.(98*98*98-73*73*73)/(98*98*98+73*73*73)=?


33.Leena cut small cubes of 10 cubic cms each. Which she joined to form a cube wit 10 cubes length, 5 cubes in depth and 5 cubes wide. How many more small cubes does she require to form a perfect cube?


34.the first two numbers are 1 and 2. The numbers in series are 3,6,7,14, , 32? Which number comes before 32


35.The age of two people is in the ratio 6:8. the sum of their ages is 77. after 2 years the ratio of their ages becomes 5:7. wat is their present age?


36.if a and b are mixed in 3:5 ration and b,c are mixed in 8:5 ration if the final mixture is 35 litres,find the amount of b in the final mixture


37. A lady builds 9cm length,10cm width,3cm height box using 3cubic cm cubes. What is the minimum number of cubes required to build the box?


38. When a pair of dice is thrown, what number has the higher probability to occur…the sum of 8 or 9 or 10?


39. A person has to make 146 pieces of a long bar. He takes 4 seconds to cut a piece. What is the total time taken by him in seconds to make 146 pieces?


40) ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2


Ans: 2(simple algebra, i think u no need of explanation)


41) one question like. (209*144)^2 + (209*209)+(209*144)+(144*144) = ?


Ans: here you can use calc, many(4 to 5) questions were depend upon calc alone.(no need problem solving technique).


42. There is a factory which is producing the bicycles and four wheelers. One day the total production of wheels is 158. Find out the possible no. of bicycles produced


a. 6


b. 7


c. 8


d. 9


Ans: 7 (note: there is a probability of the answer of 19 also for this question . take care of it. )Also they change the total number of wheels to 198.


43. Four years hence the average of 6 members is 45. Now a person is added and the avg becomes 48. What is the age of added person?


Ans: 42


44. In a hotel we can order two types of varieties, but we can make 6 more varieties in home. One can want the four varieties with two from hotel must. Find how many ways one can order.


Ans: 12 ways


45. There is a series 13,14,27,30,55,62,?, 126. Find the missing.


This is combination of two series; 13,27 55, ? and 14, 30, 62, 126 (14, 14*2+2(30),30*2+2(62),….)


46, 13*2+1 (27), 27*2+1(55), ?=55*2+1=111 .For this numbers may be changed but the logic is same.


47) The three sides of a triangle are given.16, 14, 21 cms and this triangle is conveted into a square .so what will be the area of the square generated?


Ans: - (14+16+21)/4. Then you will get the 1 side of a square and now find the area of a square.ie, side^2


48) An equation of the form 4x+6y-2z=32 . Find the difference between x intercept and z intercept?


Ans: x/a+y/b+z/c=1


49 ) 20men and 20 women are there, they dance with each other, is there possibilty that 2 men are dancing with same women and vice versa.


Ans-never


50) 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.


Ans-9


51) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 234 wheels in the campus. How many bicycles are there?


Ans: go wid options. muliply each option wid 2 and subtact the obtained no from 234. if it is exactly divisible by 4, that is the ans....


52) one organization ,material ,labor and maintenance are in the ratio of 4:6:7, if the material cost is: 272 ,what is the total cost?


Ans: 4x=272 ==> x=68 ; now total cost = 272 + 6(68)+7(68).


53) 4 years before Paul’s age is 3times the Alice age and the present age of Paul is 6times the Alice. what is the presents Paul’s age???


Ans: x-4 = 3(y-4) ; x=6y : solve u will get it..


54) a volume of A are having in a container of sphere... how many semi hemispheres of B volume each will be rqred to transfer all the A in to semi hemispheres.....?


Ans: A= x B


55) Some denominations question... like u have 31 ps, and tckt cost is between 1 to 31, u have to give the exact denominations for the ticket. find all the no of possible denominations u may prdict and u must be left wid atleast few paise...?


56) Direction problems..... A man goes 50 km NORTH, then turned left walked 40 km, then turned RIGHT...? in which direction is he in?


Ans: NORTH


57) Out of 6 children the youngest is boy then find the probability that all the remaining children are boys.


Ans: 1/2^5 = 1/32


58) In a market 4 man are standing .the average age of the four before 4years is 45, after some days one man is added and his age is 49.what is the average weight of all?


Ans: 49


59) One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is the average of their speed?


Ans: apply 2xy/x+y


60) The three sides of a triangle are given.18, 18, 28 cms and this triangle is conveted into a square .so what will be the area of the square generated?


Ans: - (18+18+28)/4. Then you will get the 1 side of a square and now find the area of a square.ie, side^2


61) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Som unrelated stuff) Linda is taller than Chelsey and taller than 2 of 1000 pillars. Juli is shorter than Linda. Find the correct sentence?


a) Linda is shorter among them


b) Chelsey is taller than Juli


c) Chelsey is shorter than Juli


d) Cannot determine who is taller among Chelsey and Juli


Ans:: d


62) A toy train can make 10 sounds sound changes after every 4 min................. ..................................... .......................................... now train is defective and can make only 2 sounds................. ................................................................................. Find probability that same sound is repeated 3 times consecutively (1 OUT OF __)?


1.16


2.8


3.12


4.4


Ans: (1/2)*(1/2)*(1/2) = (1/8)


63) Entry ticket to an exhibition ranges from 1p to 7p. You need to provide exact change at the counter. You have 7p coin. In how many parts will u divide 7p so that u will provide the exact change required and carry as less coins as possible?


a) 8 b) 7 c) 5 d) 3


64) 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.


Ans-22


65) B is taller than j and 3 pillers. P is shorter than B and 2 pillers is j shorter/taller than P?


Ans-irrelevant question


66) Sangakara and ponting selects batting by using a dice, but dice is biased so to resolve ponty takes out a coin, what is the probability that dice shows correct option.


67. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?


a.31250 b.97656 c.78125 d.97657


Ans: c


68. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got 79 marks in 8th subject. what is the average of all the subjects?


expln:


the xtra 5 marks will be distributed in 8 semester, 5/8=.625


74+.625=74.625


Ans:74.625


69. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at north pole.there he saw a bear .he then followed the bear around 1 hr with a speed of 2km/hr in east direction.After that he travelled in south direction & reached at his lab in2 hrs. Then what is the colour of the bear? I think ans is white


a)white b)black c)gray d)brown


70) 5 friends went for week end party to Mc donalds restrurent and there they measure there weights .some irrrrrrrrrrrrrrrrilevent data.finel measure is 155 kg then find the average weight of 5 people?


ans:155/5=31


71) 2 pots are there.1st pot is filled with ink and 2nd pot is filled with water.take 1 spoon of ink from 1st pot and pore it in 2nd pot.and take 1 spoon of mixture from 2nd pot and pore it in 2nd pot then which one of following is true?


ans: Water in 1st pot is less than the ink in 2nd pot.


72) There r ten spots in library and each spot has 4 tables and ten readers ar there . 10 student come into liberary and want 2 study in how many ways that they sit in d liberary so that no chair would be blank?


ans :1


73.Question 1: There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? ( 1 of _____) ?


Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32


32 will be the answer.


(My friends got similar question with "3 times consecutively"; for that the answer would be 8)


74.There are 5 materials to make a perfume: Lilac, Balsalmic, Lemon, Woody and Mimosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsalmic go together. Woody and Mimosaic go together, Woody and Balsalmic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume EXCEPT:


1) Balsalmic and Lilac


2) Woody and Lemon


3) Mimosaic and Woody


4) Mimosaic and Lilac


Answer: Mimosaic and Lilac. I have made the question here really easy to understand. But the actual question was in a twisted language and it was difficult to find the answer. It took me some time to get to the answer.


75 .A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?


Answer:280.5625


76) (1/3) of a number is 3 times more than the (1/6) of the same number?


Ans is 18


77) There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?


a) 2 b) 2! C) 2048 d) 1024


78) A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?


Ans is 2(141) =242


79) A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?


Ans is 15 pounds


80) John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?


Ans is 23(cost price + change given).


81. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?


Ans is 4 boys and 3 girls


82) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color.


83) There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?


a) If no. is odd it is head, if no. is even it is tail


b) If no. is odd it is tail, if no. is even it is head


c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.


84.metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?


Ans is (z-1) (y-x) +x.


85.There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?


a) Linda is shorter among them


b) Chelsea is taller than Julia


c) Chelsea is shorter than Julia


d) Cannot determine who is taller among Chelsea and Julia


Ans: d


86) Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?


a) 22 b) 31 c) 6 d) 32


Ans is 6


87) There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?


Ans is 20


88. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.


(1) 5 (2) 6 (3) 7 (4) None


89. A boy want to make a cuboid of dimension 5m, 6m, 7m. from small cubes of .03 m3. later he realized he can make same cuboid by making it hollow. Then it take some cubes less. What is the no. of these cube.


Ans. Vol of solid cuboid= 5*6*7=210 m3. Vol of its inner cuboid by removal of which the cuboid will be hollow= (5-2)*(6-2)*(7-2)=60 m3, then ans will be 60/.03