Practice Set - 2 (Mathematics)

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

Paper - Mathematics  - 20 Questions for Prelims 

1. If a, b, c, d, e are five consecutive odd numbers,  then their average is :

A. 5a + 4               B. abcde/5 

C. a + 4                  D. 5(a + b + c + d + e)

2. Twenty times a positive integer is less than its square by 96. What is the integer?

A. 24            B. 20          C. 28         D. 30

3. If the sum of two numbers is 55 and the HCF and LCM of these numbers are 5 and 120 respectively.  Find the sum of their reciprocals?

A. 120/11       B. 11/120    C. 55/601    D. 601/55

4. The length and breadth of a square are increased by 20% and 30% respectively.  The area of the resulting rectangle exceeds the area of the square by :

A. 52%      B. 54%        C. 56%       D. 58%

5. The radius of a sphere is 9 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metres?

A. 962 m      B. 972 m     C. 982 m      D. 942 m

6. The sum of first n natural numbers is 276. Find n.

A. 23          B. 24         C. 25         D. 26

7. An increase of Rs.3 in the selling price of an article turns a loss of 7.5% into a gain of 7.5%. What is the cost price of the article?

A. Rs.10        B. Rs.15.    C. Rs.20.      D. Rs.25

8. A train covers a distance in 50 minutes,  if it runs at a speed of 48 km/hr on an average.  The speed at which the train must run to reduce the time of journey to 40 minutes will be :

A. 50 km/hr  B. 55 km/hr  C. 60 km/hr  D. 70 km/hr

9. A box contains some black balls and 30 white balls. If the probability of drawing a black ball is two-fifths of a white ball. Find the number of black balls in the box:

A. 12         B. 14          C. 18.       D. 20

10. A card drawn from a pack of 100 cards numbered 1 to 100. Find the probability of drawing a number which is a square. 

A. 1/30       B. 1/20.      C. 1/12       D. 1/10

11. A and B can do a work in 12 days and 16 days respectively.  Both worked together for 3 days and then A left the work and C joined.  Both B and C completed the rest of the work  in 3 days.  In how many days C can complete the whole work?

A. 5 days  B. 6 days  C. 7 days   D. 8 days

12. Find the least number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively:

A. 1396        B. 1394        C. 1392      D. 1314

13. If 1.5x = 0.04y, then the value of (y - x)/(y + x) is:

A. 73/7.7       B. 73/77      C. 7.3/77    D. 7.3/7.7

14. The average weight of X, Y and Z is 45 kg. If the average weight of X & Y be 40 kg and that of Y & Z be 43 kg, then the weight of Y is :

A. 17 kg       B. 20 kg      C. 26 kg      D. 31 kg

15. Ram bought an item at 20% discount on its original price. He sold it with 40% increase on the price he bought it. The new sale price is by what percent more than the original price?

A. 7.5          B. 8          C. 10         D. 12

16. In a school 10% of the boys are same in number as 1/4th of the girls. What is the ratio of boys to girls in that school?

A. 3 : 2         B. 5 : 2       C. 2 : 1       D. 5 : 3

17. Papu can cover a certain distance in 1 hr 24 min by covering two-third of the distance at 4 km/hr and the rest at 5 km/hr. Find the total distance?

A. 6 km      B. 16 km    C. 12 km      D. 10 km

18. A hemisphere and a cone have equal bases. If the heights are also equal, then the ratio of their curved surface will be:

A. 3 : 2      B. 2 : 1      C. √2 : 1       D. 1 : √2

19. If A's salary is 50% more than that of B's, then B's salary is less than A's by :

A. 33%   B. 121/3%  C. 136/3%   D. 100/3%

20. If 5√5 × 5³ ÷ 5⁻³/² = 5ⁿ⁺², then the value of n is :

A. 4        B. 5         C. 6         D. 8