Practice Sets - Maths



These Practice Sets for Maths are specially designed keeping in view of the pattern that we see in the various competitive exams, especially the Combined Graduate Level Examination (CGLE), SI Delhi Police and CPO Exam, and Grade-II DAAS (except Geometry and Trigonometry)  of the Staff selection Commission (SSC) and the DSSSB. I hope they’ll help you immensely.

QUESTIONS: 20                                                                              MAXIMUM TIME: 20 minutes

1. Which least number shall be added to 8115 to make it a perfect square ?

a) 349
b) 166
c) 144
d) 194

2. If a number is divided by 15, it leaves the remainder 7, if thrice the number is divided by 5; then what is the remainder?

a) 1
b) 2
c) 3
d) 0

3. If a² = 2, then find the value of a+1

a) a – 1
b) 2/(a -1)
c) (a + 1)/(3 – 2a)
d) (a – 1)/(3 – 2a)

4. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

a) 3:5
b) 1:2
c) 4:1
d) 1:4

5. The average of 7 consecutive integers is 7. Find the average of squares of these integers.

a) 35
b) 45
c) 54
d) 53

6. The ratio of weekly incomes of a and b is 9:7 and the ratio of their expenditures is 4:3.if each saves Rs. 200 per week then the sum of their weekly incomes is ?

a) 3600
b) 3200
c) 4800
d) 5600

7. A and B started a business with Rs. 20,000 and 35,000 respectively. They agreed to share the profit in the ratio of their capital. C joined the partnership with the condition that A , B , C will share profit equally and pays Rs. 2,20,000 as premium for this, to be shared between A and B . This is to be divided between A and B in the ratio of

a) 9:10
b) 10:9
c) 10:1
d) 1:10

8. A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more tea for. Rs 22500. What is the reduced price per kg of tea?

a) 90
b) 900
c) 80
d) 110

9. If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?

a) 25% loss
b) 25% profit
c) 20% loss
d) 20% profit

10. Ramesh borrows Rs 7000 from a bank at SI. After 3 years he paid Rs 3000 to the bank and at the end of 5 yrs from the date of borrowing he paid Rs 5450 to the bank to settle the account. Find the rate of interest?

a) 2%
b) 3%
c) 4%
d) 5%

11. A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?

a) 27 days
b) 32 days
c) 72 days
d) 30 days

12. A train 105 meters long moving at a speed of 54 kmph crosses another train in 6 sec. Then which of the following is true?

a) trains are moving in the opposite direction
b) trains are moving in the same direction
c) the other train is not moving

13. Number of solutions of two equation 4x – y = 2 and 2y – 8x + 4= 0

a) 1
b) 2
c) Infinitely many solutions
d) 0

14. If the length of a rectangle is increased in the ratio 6:7 and breadth is diminished in the ratio 5:4 then its area will be diminished in the ratio?

a) 15:14
b) 15:13
c) 14:15
d) 10:15

15. Two medians AD and BE of triangle ABC intersect at G at right angle. If AD = 9 cm and BE = 6 cm, then BD is ?

a) 2
b) 3
c) 4
d) 5

16. G is the centroid of Triangle ABC, and AG=BC. Find angle BGC.

a) 45
b) 30
c) 90
d) 80

17. P & Q are mid-points of two chords AB and AC of a circle. Center is O, OP and OQ are extended to meet the circle at R & S respectively. T is a point anywhere on the major arc RS of the circle. ∠BAC = 32°. Find ∠RTS.

a) 32
b) 74
c) 106
d) 64

18. If cosx + secx = 3; then (tanx)² – (sinx)² =9

a) 4
b) 5
c) 13
d) 8

19. If tanx*tan2x = 1; then (sin 2x)² + (tan 2x)² = ?

a) 3/4
b) 10/3
c) 15/4
d) 3

20. A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards it the tower is found to subtend an angle twice as before. The height of the tower.

a) 80
b) 100
c) 160
d) 200


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Maha Gupta

Maha Gupta

Founder of and guiding aspirants on SSC exam affairs since 2010 when objective pattern of exams was introduced first in SSC. Also the author of the following books:

1. Maha English Grammar (for Competitive Exams)
2. Maha English Practice Sets (for Competitive Exams)