Practice Sets - Maths

# MATHS — PRACTICE SET 21 — SOLVED

### MATHS — PRACTICE SET 21 — SOLVED

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. A yearly payment to a servant is Rs 90 plus one turban. The servant leaves the job after 9 months and receives Rs 65 and a turban. Then find the price of the turban.

A) Rs 8
B) Rs 10
C) Rs 15
D) Rs 20

2. 2² + 4² + 6² + … + 20² = ?

A) 770
B) 1155
C) 1540
D) 385 × 385

3. When a number is successively divided by 9, 11 & 13 remainders left respectively are 8, 9 & 8. if the sequence of divisors is reversed; then what will be the remainders?

A) 10, 2, 5
B) 10, 1, 6
C) 7, 2, 9
D) 5, 3, 13

4. If a – b = 3 and a³ – b³ = 117;
then |a+b|=?

A) 7
B) 1
C) 3
D) 0

5. If a = b²/(b-a); then a³ + b³ is equal to

A) 0
B) 1
C) 2
D) 3

6. 600 grams of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution

A) 160 grams
B) 120 grams
C) 130 grams
D) 140 grams

7. When the average age of husband, wife and their son was 42 years, the son got married and a child was born just one year after the marriage. When child turned to be 5 years then the average age of the family became 36 years. What was the age of the daughter-in-law at the time of marriage?

A) 26 years
B) 25 years
C) 24 years
D) 23 years

8. If a/(b+c) = b/(c+a) = c/(a+b) and a+b+c is not equal to 0; then value of b/(a+b+c) is?

A) 1/3
B) 5/9
C) 2/7
D) 3/5

9. Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

A) 5 : 7 : 8
B) 20 : 49 : 64
C) 38 : 28 : 21
D) 6 : 7 : 9

10. When water is changed into ice, its volume increases by 9%. If ice changes into water, the percentage decrease in volume is?

A) 9%
B) 10%
C) 18%
D) 900/109 %

11. A man sold a horse at 10% profit. Had he bought it at 20% less and sold for Rs 10 more, he would have made a profit of 40%. What is the cost price of the horse?

A) 400
B) 500
C) 600
D) 1000

12. A certain sum amounts to Rs. 7350 in 2 years and to Rs 8575 in 3 years. Find the sum and rate percentage?

A) 20%
B) 18%
C) 25%
D) 50/3%

13. In what time a cistern can be filled by 3 pipes running together, whose diameters are 1 cm, 4/3 cm, 2 cm, when the largest pipe alone fills it in 61 minutes? The amount of water flowing in by each pipe being proportional to square of its diameter.

A) 30 minutes
B) 64 minutes
C) 36 minutes
D) 45 minutes

14. A man can row 913 km/h in still water and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. The speed of the current is?

A) 323 km/h
B) 423 km/h
C) 523 km/h
D) 623 km/h

15. A rectangle has 20 cm as its length and 200 cm² as its area. If area is increased by 6/5 times the original area by increasing its length only; then the perimeter of the rectangle so formed is?

A) 100 cm
B) 104 cm
C) 108 cm
D) 110 cm

16. In this figure if DE/BC = 1/4 and area ΔADE = 10; find area ΔDEC.

A) 20
B) 25
C) 30
D) 40

17. The bisector of the ∠BAC of ΔABC intersects the side BC at the point D and meets the circumcircle of the ΔABC at E. Then, when it’s always true AB × AC + DE × AE =

A) AE²
C) CE²
D) CD²

18. Two circles of radii 8 and 2 cm touch each other externally at point A. PQ is direct common tangent. Length of QP is?

A) 8 cm
B) 7.5 cm
C) 7 cm
D) 9 cm

19. The numerical value of 1 + 1/cot²63 – sec²27 + 1/sin²63 – cosec²27

A) -1
B) 0
C) 1
D) 2

20. The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is?

A) 30º
B) 45º
C) 60º
D) 90º

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