a. 12 s

b. 5 s

c. 6 s

d. 10 s

**6.** How many digits are there in: 2 17 X 3 2 X 5 14 X 7

a. 14

b. 15

c. 16

d. 17

**7.** The following sum is: 1 + 1 – 2 + 3 – 4 + 5 – 6 – 20 = ?

a. 10

b. -10

c. -11

d. -9

**8.** You are given 100 verbs using which you have to form sentences containing at least one verb, without repeating the verbs, under the condition that the number of verbs (from this set of 100) in any two sentences should not be equal. The maximum number of sentences you can form is

a. 13

b. 10

c. 14

d. 100

**9.** After giving 20% discount on the marked price to a customer, the seller’s profit was 20%. Which of the following is true?

a. Sale price = (marked price + cost price)/2

b. Sale price < (marked price + cost price)/2

c. 2/3 (marked price + cost price)> sale price > (marked price + cost price)/2

d. Sale price > 2/3 (marked price + cost price)

**10.** November 9, 1994 was Wednesday. Then which of the following is true?

a. November 9, 1965 is a Wednesday and November 7 1970 is a Wednesday

b. November 9, 1965 is not a Wednesday and November 9, 1970 is a Wednesday

c. November 9, 1965 is a Wednesday and November 9, 1970 is not a Wednesday

d. November 9, 1965 is not a Wednesday and November 9, 1979 is not a Wednesday

**11.** A 4 X 4 magic square is given below.

How many 2 X 2 squares are there in it whose elements add up to 34?

a. 6

b. 9

c. 4

d. 5

**12.** Three years ago, the difference in the ages of two brothers was 2 years. The sum of their present ages will double in 10 years. What is the present age of the elder brother?

a. 11

b. 6

c. 7

d. 9

**13.** Two identical cylinders of the same height as a bigger hollow cylinder were put vertically into the latter to fit exactly into it. The volume of the bigger cylinder is V. The volume of each of the smaller cylinders is:

a. V/8

b. V/4

c. V/2

d. V

**14.** You get 20% returns on you investment annually, but also pay a 20% tax on the gain. At the end of 5 years, the net gain made by you (as percentage of the capital) is approximately

a. 100

b. 0

c. 16

d. 80

**15.** A cubic cavity of edge 20µm is filled with a fluid with a cubic solid of edge 2µm. What percent of the cavity volume is occupied by the fluid?

a. 90.0

b. 10.0

c. 20.0

d. 99.9

**16.** What is the length of the longest rod that can be put in a hemispherical bowl of radius 10 cm such that no end of the rod is outside the bowl? (Assume that the rod has negligible thickness).

a. 10√5 cm

b. 10√2 cm

c. 10√3 cm

d. 10√4 cm

**17.** Marks obtained by two students S1 and S2 in a four semester course are plotted in the following graph:

Which of the following statement is true?

a. Total marks of S1 and S2 are equal

b. S2 got higher marks than S1 in all four semesters

c. Over four semester, S1 improved by a higher percentage compared to S2

d. S1 and S2 did not get the same marks in any semester

**18.** Find out the missing number in the sequence: 61, 52, 63, 94, _____, 18, 001, 121.

a. 46

b. 66

c. 70

d. 44

**19.** If a 4 digit year (e.g. 1927) is chosen randomly, what is the probability that it is not a leap year?

a. ¾

b. ¼

c. < ¼

d. > ¾

**20.** Coordinates of a point in x, y, z space is (1, 2, 3). What would be the coordinates of its reflection in a mirror along the x, z plane?

a. (-1. -2. -3)

b. (1, -2, -3)

c. (1, -2, 3)

d. (-1, 2, 3)

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