1. The magnitude of the area of a circle is seven times that of its circumference. What is the circumference (in units) of the circle?

a. 616

b. 132

c. 88

d. Can’t be determined

e. None of these

2. A mixture of 45 liters of spirit and water contains 20% of water in it. How much water must be added to make the water 25% in the new mixture?

a. 5 liters

b. 3 liters

c. 4 liters

d. 6 liters

e. None of these

3. The length of a rectangular field is double its width, inside the field there is a square-shaped pond 8 m long. If the area of the pond is 1/8 of the field, what is the length of the field?

a. 32 m

b. 16 m

c. 64 m

d. 20 m

e. None of these

4. A bottle contains 3/4 of milk and the rest water. How much of the mixture must be taken away and replaced by equal quantity of water so that the mixture has half milk and half water?

a. 25%

b. 331?2%

c. 45%

d. 50%

e. None of these

5. Krishan has some hens and some cows. If the total number of animal heads are 59 and the total number of feet are 190, how many cows does Krishan have?

a. 36

b. 32

c. 23

d. 20

e. Can’t be determined

6. In an examination it is required to get 296 of the total maximum aggregate marks to pass. A student gets 259 marks and is declared failed. The difference of marks obtained by the student and that required to pass is 5%. What are the maximum aggregate marks a student can get?

a. 690

b. 780

c. 740

d. 749

e. None of these

7. Rahul took a part in cycling game where 1/5 ahead of him and 5/6 behind him then total number of participants =

Ans: 31

8. A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?

Ans: 18 days.

13. Who amongst the following is the actor?

a. E

b. F

c. C

d. B

e. A

9. Who among the following are standing at the extremes?

a. A and F

b. G and C

c. G and F

d. A and B

e. A and C

DIRECTIONS for the question 10: Solve the following question and mark the best possible option.

Point A is 14m north of point B

Point C is 11m east of point B

Point D is 5m north of point C

Point E is 7m west of point D

Point F is 6m north of point E

Point G is 4m west of point F

11. How far is F from point A ?

a. 5m

b. 5.67m

c. 6m

d. 3m

e. 4m

12. How many students are there in the class?

I. There are more than 20 but less than 27 students in the class.

II. There are more than 24 but less than 31 students in the class. the number of students in the class can be divided into groups such that each group contains 5 students.

a. The data in both the Statements I and II together are necessary to answer the question.

b. The data neither in Statement I nor in Statement II are sufficient to answer the question

c. The data either in Statement I alone or in Statement II alone are sufficient to answer the question

d. The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

e. The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

DIRECTIONS for the questions 13-14: Solve the following question and mark the best possible option.

13. What is the 8th term in the series 1,4, 9, 25, 35, 63, . . .

Ans:

1, 4, 9, 18, 35, 68, . . .

The pattern is

1 = 21 – 1

4 = 22 – 0

9 = 23 + 1

18 = 24 + 2

35 = 25 + 3

68 = 26 + 4

So 8th term is 28 + 6 = 262

14. Statement: C < L < O = U = D > S > Y

Conclusion: I. O > Y

II. C < D

a. Neither conclusion I nor II follows

b. Both conclusions I and II follows

c. Only conclusion I follows

d. Only conclusion II follows

e. Either conclusion I or II follows

15. An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating?

Ans:

Lets suppose that A walks down 1 step / min and

escalator moves n steps/ min

It is given that A takes 50 steps to reach the bottom

In the same time escalator would have covered 50n steps

So total steps on escalator is 50 + 50n.

Again it is given that B takes 90 steps to reach the bottom and time

taken by him for this is equal to time taken by A to cover 10 steps i.e

10 minutes. So in this 10 min escalator would have covered 10n steps.

So total steps on escalator is 90 + 10n

Again equating 50 + 50n = 90 + 10n we get n = 1

Hence total number of steps on escalator is 100.

16. How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same?

Ans:

The word EDUCATION is a 9 letter word with none of letters repeating

The vowels occupy 3,5,7th & 8th position in the word & remaining five positions are occupied by consonants.

As the relative position of the vowels & consonants in any arrangement should remain the same as in the word EDUCATION

The four vowels can be arranged in 3rd,5th,7th & 8th position in 4! ways.

similarly the five consonants can be arranged in 1st ,2nd ,4th, 6th & 9th position in 5! ways

Hence the total number of ways = 5!×4!=120×24=2880