MATHS SOLVED PRACTICE SET 17

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. 61 + 62 + 63 + … + 100 = ?

A) 2525
B) 2975
C) 3220
D) 3775

2. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

A) 4
B) 10
C) 15
D) 16

3. 4⁹⁷/25. Find remainder.

A) 1
B) 4
C) 7
D) 9

4. If x²+2 = 2x, then the value of x⁴ – x³ + x² + 2

A) 0
B) 1
C) -1
D) √2

5. If A+ B+ C = 1 & AB + BC + CA = 1/3; then A : B : C is?

A) 1 : 2 : 2
B) 2 : 1 : 2
C) 1 : 1 : 1
D) 1 : 2 : 1

6. The ratio of water and spirit in the mixture is 1 : 3. If he volume of the solution is increased by 25% by adding spirit only; what is the resultant ratio of water and spirit?

A) 2 : 3
B) 4 : 1
C) 1 : 4
D) 2 : 5

7. Average of marks scored by some students in an exam was found to be 60. After the error having been corrected, the average of 100 students became 30 and for all the students the average came down to 45. Find the number of students appeared in that exam.

7. A) 150
B) 175
C) 200
D) 250

8. Find the third proportional to (x/y + y/x) and √(x² + y²)

A) xy
B) √(xy)
C) ∛(xy)
D) ∜(xy)

9. A, B, C subscribe Rs 50,000 for a business. A subscribes Rs 4000 more than B and B Rs 5000 more than C. Out of a total profit of Rs 35,000, A receives?

A) Rs 8400
B) Rs 11,900
C) Rs 13,600
D) Rs 14,700

10. In an election between two candidates, 75% of voters cast their votes, out of which 2% of votes declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. The total number of voters enrolled were?

A) 16000
B) 16400
C) 16800
D) 18000

11. The cash down value of an article is 12500. It can be brought at credit 14300 payable one year hence at 10% per annum. The trader gets a profit of?

A) 300
B) 400
C) 500
D) 250

12. The salary of an employee of a company increases every month by 4%. If his salary in August was Rs 6300, what would be his approximate salary in the month of October in the same year?

A) Rs 6600
B) Rs 6814
C) Rs 6875
D) Rs 7000

13. A refrigerator of MRP Rs 5000 is available in Rs 1000 cash down payment and 9 monthly equal installment of Rs 500 each. Find rate of interest per annum.

A) 100/3%
B) 50/3%
C) 100/7%
D) 33%

14. A can finish a job in 12 days, B in 20 days and C in 30 days. A, B & C start work together. After 3 days, A left. B+C worked for 2 days, then B left and A joined. A+C completed the remaining work. In how many days was the work finished?

A) 55/7 days
B) 20/7 days
C) 9 days
D) 20 days

15. Two bullets are fired at a platform in the interval of 13 seconds. A passenger who is sitting in the train coming towards the platform heard the sound in the interval of 12.5 seconds. If speed of sound is 330 m/s, train’s speed is?

A) 47 ¹³⁄₂₅ km/h
B) 50 km/h
C) 66/5 m/h
D) 45 km/h

16. The value of k for which the graph of kx + 3y – (k – 3) = 0 and 12x + ky – k = 0 has infinitely many solutions?

A) 6
B) -6
C) 0
D) ±6

17. The radii of the circular ends of a frustum of height 6 cm are 14 cm and 6 cm respectively. Find the lateral surface area and total surface area of the frustum.

A) 620.57 cm²,        1300 cm²
B) 628.57 cm²,        1357.71 cm²
C) 528.56 cm²,        1300.75 cm²
D) 600.50 cm²,       1400.15 cm²

18. Adjacent sides of a parallelogram are 18 and 16. If one of the diagonal is 20 find the other. All units are in cm.

A) 2√180
B) 180
C) 2√190
D) 2√203

19. Let C be a point on a straight line AB. Circles are drawn with diameters AC and AB. Let P be any point on the circumference of the circle with diameter AB. If AP meets the other circle at Q, then?

A) QC || PB
B) QC is never parallel to PB
C) QC = 1/2 PB
D) QC || PB and QC = 1/2 PB

20. If 2 – cos²θ = 3sinθ*cosθ; sinθ is not equal to cosθ, then tanθ will be?

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

MATHS — PRACTICE SET 17 — TEST WITH SOLUTION