placement written paper-2

1. 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

2. (1/3) of a number is 5 more than the (1/6) of the same number? find the no.
a) 6
b)36
c)30
d)72

3. 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

4. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2
a)8
b) none
c)16
d)15


5. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?
a) 16 b) 56 c) 112 d) 28

6. find x in the series 3, 15, x, 51, 53,159,161

7. 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?
a) 4 boys and 3 girls
b) 3 boys and 4 girls
c) 2 boys and 5 girls
d) 5 boys and 2 girls

8. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?
a) 257
b) 256
c) 72
d) 255

9. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
a) 6
b) 21
c) 28
d) 7

10. A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?
a) North
b) South
c) East
d) West

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) 3.5
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. A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.
a) 54
b) 27
c) 81
d) 67

14. -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 to test, how many mices are required to find the poisoned can?
a) 3
b) 2
c) 6
d) 1

15. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

a)3
b)5
c) 2
d)1

16. Alok and Bhanu play the following min-max game. Given the expression

N = 9 + 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
a) 0
b) 27
c) 18
d) 20
The Q's concept is same but the equation of N's is changing.

17. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coins the third coin from the top. Then

a) In order to win, Alice's first move should be a 1-move.
b) In order to win, Alice's first move should be a 0-move.
c) In order to win, Alice's first move can be a 0-move or a 1-move.
d) Alice has no winning strategy.

18. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.
b) The first 26 statements are false and the rest are true.
c) The first 13 statements are true and the rest are false.
d) The odd numbered statements are true and the even numbered are false.

19. -Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?
a) In order to win, Alok should remove O1 on his first turn.
b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.
c) In order to win, Alok should remove O2 on his first turn.
d) Alok has no winning strategy.

20. 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

21. Amrith told to Anand in front of a Photo that “He is the son of my father’s son”. Find who is in the picture if amrith have no brothers and sisters.
a) Amrith himself
b) Amrith’s Uncle
c) Amrith’s Father
d) Amrith’s son

22. A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select?

23. The difference between two no is 9 and the product of the two is 14.What is the square of their sum?
a) 120
b) 130
c) 137
d) 145

24. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
a) 22
b) 20
c) 10
d) none

25. -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?
a) 4 boys and 3 girls
b) 3 boys and 4 girls
c) 2 boys and 5 girls
d) 5 boys and 2 girls

26. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?
a) 1 in 16
B) 1 in 4
c) 1 in 8
d) 1 in 32