Test 3 ~ Exam Placement

1. The teacher is testing a student’s proficiency in arithmetic and poses the following question.

of a number is 3 more than

of the same number. What is the number? Can you help the student to find the answer?

a) 18

b) 21

c) 12

d) 6

2. A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and peanuts at 3 for a penny. A father spent 7 penny’s and got the same amount of each type of fruit for each of his three children. What did each child get?

a) 1 apple, 2 chickoos, 1 peanut

b) 1 apple, 1 chickoo, 1 peanut

c) 1 apple, 2 chickoos, 2 peanuts

d) 1 apple, 3 chickoos, 2 peanuts

3. There are two water tanks A and B. A is much smaller than B. While water fills at the rate of one 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 and so on) If

of B’s volume is filled after 3 hours what is the total duration to fill it completely?

a) 7 hours

b) 9 hours

c) 10 hours

d) 8 hours

4. A hunter leaves his cabin early in the morning and walks one mile due south. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. After shooting the bear, he drags it one mile due north back to his cabin where he started that morning. What color is the bear?

a) Brown

b) Black

c) White

d) Grey

5. There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, Woody and Mimosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and Mimosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. All of the following combinations are possible to make a perfume except:

a) Balsamic and Lilac

b) Woody and Lemon

c) Mimosaic and Woody

d) Mimosaic and Lilac

6. A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

a) 3.5

b) 6

c) 8

d) None of these

7. Three friends Sunny, Bobby and Jackie weigh themselves in different ways. First they weigh themselves individually, and then Sunny and Bobby, Bobby and Jackie and Sunny and Jackie and finally all the three weigh themselves respectively. If the weight recorded for the last measure is 180 kg, then the average of the seven measures is:

a) 320 kg

b) 360/7 kg

c) 720/7 kg

d) Data insufficient

8. A triangle is made from a rope. The sides of the triangle are 21cm, 24cm and 28cm. What will be the area of the square made from the same rope?

a) 280.5625

b) 333.0625

c) 333.6025

d) 400

9. Out of 7 children the youngest is boy. Find the probability that all the remaining children are boys.

a) 1/32

b) 1/64

c) 1/256

d) 1/128

10. There is a factory which is producing the bicycles and four wheelers. On weekdays the total production of wheels is 158 wheels per day. Find out the possible number of bicycles produced on Tuesday.

a) 6

b) 10

c) 9

d) 8

11. Peter and Paul are two friends. The sum of their ages is 42 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Paul?

a) 24

b) 18

c) 20

d) 23

12. A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333 yards. He found that roll B was much better when compared to A. the time taken for cutting A into 1 yard piece is 2 seconds. Find the time taken to cut into 141 pieces of 1 yard each?

a) 242

b) 282

c) 280

d) 140

13. One train travels 200km from A to B with 70kmph and returns to A with 80kmph. Find the average speed of the train.

a) 75kmph

b) 74.99kmph

c) 74.67kmph

d) 74.33kmph

14. An equation is of the form 7x+17y+3z=54. Find the distance between x intercept and z intercept?

a) 72/7

b) 37/3

c) 122/8

d) 123/7

15. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, …….. What number will come immediately before 63?

a) 76

b) 202

c) 302

d) 62

16. There are 7 friends (A1, A2,…, A7). First A1 is shaking hands with other friends. If A2 have to shake hands without repetition how many handshakes possible?

a) 6

b) 5

c) 7

d) 15

17. There are 50 men and 49 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 one woman.

b) There are 2 women who danced with one man.

c) Either a or b

d) None

18. 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) 4

b) 5

c) 6

d) 7

19. Arun cut small cubes of 1000 cubic cm each. He joined it to make a cuboid of length 100cm, width 50cm and depth 50cm. How many more cubes does he need to make a perfect cube?

a) 250

b) 1000

c) 750

d) 700

20.

Find the value of Y/X

a) 5/3

b) 3/5

c) 5/9

d) 9/5

21. 20 people are there, they are shaking hands together. How many handshakes possible if they are in no pair of cyclic sequence?

a) 210

b) 190

c) 19

d) 20

22. There is a toy car which produces 8 musical sounds. Now due to certain problems it produces only 2 sounds. What is the probability that same musical sound would be produced 5 times consecutively?

a) 1 in 32

b) 1 in 8

c) 1 in 16

d) 1 in 64

23. There are 3 boys A, B, C and 2 girls D, E. D always sit left 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?

a) B

b) C

c) Either B or C

d) None

24. 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 the second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many matches are to be played to declare the winner?

a) 256

b) 255

c) 512

d) 511

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

a) 30

b) 28.8

c) 27.8

d) 27.5

26. A girl has to make pizza with different toppings. There are 10 different toppings. In how many ways she can make pizzas with 4 different toppings?

a) 210

b) 5040

c) 1680

d) 2100

27. In a reading room of a library there are 22 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. In each table different numbers of people are seated. If in all there are 36 readers how many reading spots will be left out without atleast 1 reader?

a) 8

b) 12

c) 16

d) None of these

28. A lady has fine gloves and hats in her closet- 26 blue, 30 red and 56 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) 84

b) 6

c) 88

d) 58

29.

. Find the value of

a) 64

b) 52

c) 76

d) 72

30. A pupil’s marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is:

a) 20

b) 10

c) 40

d) 73

31. Dhoni and Ponting select batting by using a dice, but dice is biased. So to resolve the problem, Dhoni takes out a coin. What is the probability that the coin shows the correct option?

a) 1

b) 1/6

c) 1/2

d) 1/12

32. In a family there are some boys and girls. All girls told that they are having equal number of brothers and sisters and boys told that they are having twice the number of sisters than brothers. How many boys and girls are there in that family?

a) 4 boys and 3 girls

b) 3 boys and 4 girls

c) 2 boys and 4 girls

d) 2 boys and 5 girls

33. 59 members attended the party. In that 35 are males, 20 are females. They shake hands between males, females, male and female. Total 17 people given handshakes. How many such kinds of handshakes possible?

a) 35C2+20C2

b) 59C2

c) 17C2

d) 55C2

34. Smita was making a cube with dimensions 6X6X6 using 1X1X1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?

a) 216

b) 98

c) 152

d) 64

35. If