Practice Set - 4 (Mathematics)

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

Paper - Mathematics  - 20 Questions for Prelims 

1. The average age of 24 students in a class is 10 years.  If the teacher's age is included then average age is increased by 1. What is the age of teacher's in years?

A. 35  B. 36  C. 34  D. 32

2. What is the height of equilateral triangle having side 'a' ?

A. √3a/2   B. √3a  C. √2a/3  D. a/2

3. A 125 metre long rope is cut into a number of pieces having length of 5/2 metre each.  Then, rope will have to be cut into how many pieces?

A. 20  B. 45/2  C. 50  D. 137/3

4. A wheel makes 4000 revolutions in moving a distance of 45 km. Find the radius of the wheel?

A. 1.5 m B. 1.45 m C. 1.65 m D. 1.78 m

5. The base of a parallelogram is twice its height.  If the area of the parallelogram is 144 sq. cm. Fibd its height in cm.

A. 5√2 B. 6  C. 4√3 D. 6√2

6. When 1 is added to each of the given two numbers, their ratio becomes 3 : 4 and when 5 is subtracted from each,  the ratio becomes 7 : 10. The numbers are : 

A. 8, 11  B. 11, 15  C. 26, 35  D. 27, 36

7. 5 men or 9 women can do a piece of work in 19 days. In how many days will 3 men and 6 women working together will finish the work?

A. 10 days  B. 15 days  C. 57 days  D. 38 days 

8. Two pipes can fill a tank in 20 minutes and 30 minutes respectively.  If both the pipes are opened simultaneously,  then the tank will be filled in:

A. 10 minutes  B. 12 minutes  C. 15 minutes  D. 25 minutes 

9. A man covers half of his journey at 6 km/hr and the remaining half at 3 km/hr. His average speed is :

A. 4 km/hr  B. 4.5 km/hr C. 9 km/hr D. 3 km/hr

10. √4ⁿ = 1024, then the value of n is :

A. 5  B. 8  C. 10  D. 12

11. If Rs.1440 is divided into two parts in which one part is 7/9 of the second,  then the smaller part is :

A. Rs.405 B. Rs.630 C. Rs.810 D. Rs.1035

12. A student was asked to divide a number by 3. But, instead of dividing it, he multiplied it by 3 and got 29.7. What was the correct answer?

A. 3.3   B. 9.3 C. 9.8 D. 9.9

13. (6.5 × 4.7 + 6.5 × 5.3) / (1.3 × 7.9 - 1.3 × 6.9) = ?

A. 3.9  B. 39  C. 34.45  D. 50

14. The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

A. 75/2%  B. 60% C. 75% D. 200/3%

15. The ratio between the present ages of Ravi and Jai is 3 : 2. If Ravi was 6 years older than Jai, four years back,  how old is Jai now?

A. 6 yrs B. 12 yrs C. 18 yrs D. None

16. The 4/5th of a certain number is 64. Half of the number is:

A. 40. B. 32 C. 80  D. 16

17. The sum of money that will give Rs.1 as simple interest per day at the rate of 5% per annum is :

A. Rs.7300  B. 3650  C. Rs.730  D. Rs.36500

18. A reduction of 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs.385. The original price of rice is :

A. Rs.20 per kg  B. Rs.22.50 per kg C. Rs.25 per kg D. 27.50 per kg

19. If 2x + 3y = 29 & y = x + 3. What is the value of x?

A. 4         B. 5         C. 6          D. 7

20. In a figure, AOB is a straight line where ∠AOC = (3x + 20)° and ∠BOC = (4x - 36)° . Find the value of x.

A. 32     B. 22      C. 26      D. 28