Practice Set - 1 (Mathematics)

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

Paper - Mathematics  - 20 Questions for Prelims 

1. In a quadrilateral ABCD the angels ABC and BCD are 85° and 125° respectively. What type of quadrilateral may be this?

A. Square                          B. Rectangle 

C. Parallelogram               D. Trapezium 

2. A student, instead of multiplying, divided a given number by 9/23, by mistake.  If his answer was 896 more than the correct answer, then what is the given number?

      A. 81          B. 414       C. 448        D. 217

3. There are 275 students in a class out of which 7/25th were absent on a rainy day.  If 7/11th of those present had brought umbrella then how many had not brought any umbrella?

     A. 67              B. 72            C. 77         D. 92

4. The numbers in each group are related in a certain way. Choose the correct number from among the alternatives that will replace the question mark.

   [5 (13) 12]  [24 (26) 10]  [8 (?) 6]

     A. 9       B. 10        C. 12       D. 14

5. If you write the numbers from 1 to 100, how many times you have to write the digit 1?

      A. 20     B. 11        C. 21      D. 12

6. Two circles touch externally.  The sum of their areas is 130π cm² and the distance between their centres is 14 cm. What is the radius of the larger circle?

    A. 3 cm      B. 8 cm      C. 11 cm       D. 14 cm

7. Successive discounts of 20% and 10% are equivalent to a single discount of:

        A. 15%      B. 28%       C. 25%      D. 30%

8. If a man were to sell his hand-cart for Rs.700, he would lose 25%. At what price must he sell it to gain 25%?

   A. Rs.1200     B. Rs.960     C. Rs.1152      D.Rs.768

9. A number x is divisible by 7, when this number is divided by 8, 12 and 16, it leaves a remainder 3 in each case. The least value of x is:

         A. 148          B. 149        C. 150         D. 147

10. How much 200/3 % of Rs.312 exceeds Rs.200?

      A. Rs.96      B. Rs.4      C. Rs.8      D.Rs.104

11. At what rate of C.I p.a will a sum of Rs.1200 become Rs. 1348.32 in 2 years?

           A. 7.5%          B. 6.5%          C. 7%       D. 6%

12. If √y = 4x, then x²/y is :

          A. 2         B. 1/16        C. 1/4        D. 4

13. The average of 12 numbers is 15 and the average of the first two is 14. What is the average of the rest?

         A. 15         B. 76/5        C. 14        D.71/5

14. The quotient when 10¹⁰⁰ is divided by 5⁷⁵ is:

A. 2²⁵ × 10⁷⁵    B. 10²⁵      C. 2⁷⁵      D. 2⁷⁵ × 10²⁵

15. If tanⲫ + secⲫ = 3, ⲫ being acute, the value of 5 sinⲫ is :

         A. 5/2        B. √(3/5)       C. 5/√3       D. 4

16. The ratio of syrup and water in a mixture is 3 : 1, then percentage of syrup in this mixture is:

      A. 75%         B. 25%        C. 200/3%       D. 100/3%

17. Measure of each interior angle of a regular hexagon is :

         A. 100°     B. 60°       C. 45°        D.120°

18. If the ratio of principal and simple interest of 5 years is 10 : 3, then the rate of interest is:

          A. 5%         B. 6%         C. 8%          D. 3%

19. A, B and C can complete a piece of work in 24, 5 and 12 days respectively. Working together,  they will complete the same work in:

  A. 24/13 days     B. 40/13 days       C. 3 days      D. 1/13 days

20. Among the following statements, the statement which is not correct is :

A. Every natural number is a integer 

B. Every natural number is a real number

C. Every real number is a rational number 

D. Every integer is a rational number