PA/SA Exam 2014: Mathematics Section Model Questions

1.Remain is 7 times as old as his son. 10 years hence he will be 3 times as old

as his son. What are their present ages in years?

(a) 6 and 42 (b)4 and 28 (c)3and 21 (d)5 and 35

2.A 90kg salt solution has 10% salt in it. How many kilograms of water must

be evaporated from it so that the solution would contain 25% salt?

(a)54 (b)45 (c)33 (d)65

3.Mohan, Peter and Thomas invested an amount in a business in the ratio of

5:7:6 respectively. After a year they increased their investments by 26%,20%

and 15% respectively. In what ration should the profit earned during the

second year be distributed among Mohan, Peter and Thomas respectively?

(a)26:20:11 (b)32:27:21 (c)21:28:23 (d)21:28:25

4.Salary of an officer increases every year by 10%. His salary in the year 2004

was Rs.21780. What was his salary in 2002?

(a)15000 (b)18000 (c)17424 (d)160000

5.In a class of 50 children 40% play only cricket, 50% play only football and

the remaining play both the games. How many childred, in all, play football?

(a)25 (b)30 (c)35 (d)40

6.A certain amount of money doubles in 10 years at simple interest. What is

the rate of interest?

(a)10% (b)12% (c)20%

(d)5%

7.10% of a number is 30% of 400. Which is the number?

(a)1000 (b)1200 (c)800 (d)500

8.When 1kg of sand is added to a bin containing only cement, the resultant

mix is 20% sand by weight. What is the weight of the cement in the bin?

(a)5kg (b)3kg (c)4kg (d)10kg

9.A watch runs fast at the rate of 15 seconds per hour. If one has set this

watch correctly at 10a.m. on Tuesday, what will be the time shown by the

watch at 6p.m. on Saturday?

(a)6.26p.m. (b)6.30p.m. (c)6.17p.m. (d)5.30p.m.

10.What is the measure of the angle between the minute hand and the hour

hand of a clock at 6.54?

(a)112degree (b)114degree (c)117degree (d)100degree

Answers

1(d) 2.(a) 3.(c) 4.(b)

5(b) 6(a) 7(b) 8(c) 9(a) 10(c)