Practice Set - 3 (Mathematics)

Practice Set for OSSSC (RI, ARI, Amin, SFS, ICDS)

Paper - Mathematics  - 20 Questions for Prelims 

1. What is the rate of interest if a sum of Rs.4000/- becomes Rs.5000/- in 5 years on SI?
A. 10%       B. 8%        C. 5%         D. 4%

2. By what greatest number will 756, 2249 and 8227 be divided to leave the remainders of 9, 8, 10 respectively?
A. 77        B. 747         C. 889        D. 898

3. If A : B = 3 : 4 and B : C = 8 : 9, What is A : B : C ?
A. 6 : 8 : 9      B. 8 : 6 : 9      C. 9 : 8 : 6     D. 3 : 32 : 9

4. 5 years back, the age of father and son together was 45. What will be the sum of their ages after 5 years?
A. 65        B. 60       C. 55         D. 50

5. The volume of a cylinder is 1232 m³. If the area of curved surface is 176 m², then find out the circumference of its base?

A. 22 m         B. 44 m         C. 88 m       D. 196 m

6. If a number is increased by 25% and then decreased by 25%, find out the percentage of increase/decrease of final value of the number. 

A. Increase by 25/4%             B. Decrease by 25/4%
C. Increase by 375/4%           D. Decrease by 375/4%

7. A train running at the speed of 60 km/hr crosses a single pole in 12 seconds. Find the length of the train?
A. 80 m       B. 100 m       C. 120 m        D. 200 m

8. Rahim reared some hen and goats. If the heads of the hens and goats are 90 and their legs are 248, how many goats did Rahim rear?
A. 32      B. 34       C. 36         D. 40

9. If 5% of the SP of an article is equal to 6% the CP and 8% of the SP and 9% of CP make a total of Rs.93. What is CP of the article?
A. Rs.600          B. Rs.400       C. Rs.500     D. Rs.700

10. Find the value of 'n', when ∛5ⁿ = 25 ?
A. 3           B. 6            C. 9           D. 12

11. A boat man can row 5 km against the stream in 30 min and return in 20 min. Find the rate of current?
A. 2 km/hr       B. 5/2 km/hr      C. 5 km/hr      D. 15/2 km/hr

12. A batsman makes a score of 95 runs in the 16th innings and thus increases his average by 4 runs. Find his average runs after 16th innings?
A. 35         B. 34        C. 33      D. 32

13. Three numbers are in the ratio 4 : 5 : 6 and their LCM is 4500. What is their HCF?
A. 45      B. 60         C. 75        D. 90

14. A wire can be bent in the form of a circle of radius 28 cm. If it is bent in the form of a square,  then what will be its area?
A. 1089cm²   B. 1936cm²     C. 3025cm²      D. 4356cm²

15. If 60% of 5/12 of a number 9.5, then find out the number?
A. 38       B. 380         C. 95       D. 3.8

16. From a point on a level ground the angle of elevation to the top of the tower is 60°. If the tower is 346m high, what is the distance of the point from the foot of the tower? (√3 = 1.73)
A. 346√3m       B. 173m      C. 100m     D. 200m

17. A invested 20% more than B. B invested 25% less than C. If the total sum of their investment is Rs.2650, how much amount did B invest?
A. Rs.750        B. Rs.900      C. Rs.1000     D. Rs.1340

18. The present height of a tree is 64cm. Every year it grows by 1/8 of its height. What will be the height of the tree after two years from now?
A. 76cm        B. 80cm       C. 81cm       D. 84cm

19. If the position of last 2 digits of a 3 digit number are inter changed,  the new number thus created is 54 higher than the original number.  What is the difference between the last two digits of the number?
A. 6            B. 9                C. 12        D. None

20. If 517*324 is divisible by 3, which of the following small numbers will replace * ?
 A. 0           B. 1           C. 2               D. None