Kerala PSC Secretariat Assistant Solved Paper 92/2015 - Part 1

1.       The L.C.M. of two numbers is 2079 and their H.C.F. is 27. If one of the number is 189, find the other:

(A) 299               (B) 197

(C) 295              (D) 297

Answer: D

2.       A can do a piece of work in 6 days and B can do in 4 days. How long will they take if both work together?

(A) ⁵/₁₂                (B) 2 ²/₅

(C) 1 ½               (D) None of these

Answer: B

3.       30% of a number is 120. Which is the number?

(A) 300               (B) 400

(C) 500              (D) 450

Answer: B

4.       Simplify 0.25+0.036+0.0075:

(A) 0.2935         (B) 0.02935

(C) 0.00136       (D) 0.0136

Answer: A

5.       Simplify (0.2x0.2+0.01x0.01)/0.401:

(A) 1.0                (B) 0.01

(C) 0.1                (D) 0.001

Answer: C

6.       The sum of two numbers is 44 and they are in the ratio 5:6. Find the numbers:

(A) (20,24)         (B) (21,23)

(C) (18,26)         (D) (14,30)

Answer: A

Explanation:

5+6=11

44/11=4, thus each proportion needs to be multiplied by 4

5*4=20

6*4=24

thus the proportion for a total of 44 is: 20/24

7.       Simplify 2 ½ -3 ²/₃ +1 ⁵/₆ =

(A) 1/3    (B) 2/3

(C) 1/4    (D) 1/6

Answer: B

8.       The sum of ages of Sita and Reena is 32. Age of Reena is 3 times the age of Sita. Age of Reena is:

(A) 8                   (B) 26

(C) 4                   (D) 24

Answer: D

9.       Find the odd one in the group:

27, 35, 47, 52, 63

(A) 35                 (B) 52

(C) 47                 (D) 63

Answer: C

10.    The perimeter of a square is 40 cm. Find the area:

(A) 10 cm²                     (B) 400 cm²

(C) 100 cm²                   (D) 160 cm²

Answer: C

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