CGL/CPO MATHS – SOLVED PRACTICE SET 10

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. The half life period of an isotope is 2 hours. After 6 hours what fraction of the initial quantity of the isotope will be left behind?

A) 1/6
B) 1/3
C) 1/8
D) 1/4

2. 7⁸ – 5⁸ is wholly divisible by which number?

A) 25
B) 24
C) 23
D) 21

3. If x² = y+z,   y² = z+x,   z² = x+y; then the value of 1/(x+1) + 1/(y+1) + 1/(z+1) is ?

A) 0
B) 1
C) 15
D) 2

4. A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1?

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

5. The ratio between the difference of denominator and numerator and the sum of denominator and numerator of a fraction is 2 : 9 . What is the fraction?

A) 7/11
B) 11/7
C) 6/11
D) 2/5

6. In an examination, 70% students passed in English and 75% in Hindi while 20% failed in both the subjects. If 325 students passed in both the subjects, the total number of students is?

A) 400
B) 500
C) 340
D) 460

7. An article is marked for sale at Rs 275. The shopkeeper allows a discount of 5% on the marked price. His net profit is 4.5%. What did the shopkeeper pay for the article?

A) 250
B) 200
C) 225
D) 300

8. On what sum of money will compound interest of two years be the same at same rate of interest as the simple interest on Rs 416 for 10 years at 8% per annum?

A) 2000
B) 1500
C) 3000
D) 3500

9. A and B can fill a cistern in 20 and 30 minutes respectively, while C can empty it in 15 minutes. If A, B, C are kept open successively for 1 minute each, how soon will the cistern is filled?

A) 165 minutes
B) 170 minutes
C) 167 minutes
D) 175 minutes

10. Two cars moving with speed v1 and v2 towards a crossing along two roads. If their distances from the crossing be 40 meter and 50 meter at an instance of time then they do not collide if their speed are such that?

A) v1 : v2 = 5 : 4
B) v1 : v2 = 25 : 16
C) v1 : v2 = 16 : 25
D) v1 : v2 = 4 : 5

11. The radius of a cylinder is 10 cm and height is 4 cm. The number of centimeters that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is?

A) 4 cm
B) 5 cm
C) 10 cm
D) 6 cm

12. The bisector of angle A of ΔABC cuts BC at D and the circumcircle of the triangle at E; then

A) AB:AC = BD: DC
B) AD:AC = AE: AB
C) AB:AD = AC: AE
D) AB:AD = AE: AC

13. The lengths of two chords of a circle intersecting each other perpendicularly are 6 cm and 8 cm respectively. If the point of intersection is at a distance of 5 cm from the center; find the radius of the circle ?

A) 7 cm
B) 8 cm
C) 10 cm
D) 5 cm

14. sina = 3sin(a+2b); then tan(a+b) + 2tanb?

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

15. If sec@ + tan@ = √3; then tan3@ is

A) undefined
B) 1/√3
C) considered as infinity
D) √3

QUESTIONS (16 to 20). Following is the pie-chart showing the spending of a family on various items in a particular year. Study the pie-chart and answer the questions given:

16. The ratio of the total amount spent for food and medicine is?

A) 1 : 2
B) 3 : 1
C) 12 : 5 
D) 11 : 5 

17. If the total amount spent on the family during the year was Rs 50,000, how much they spent for buying clothes?

A) 6,250
B) 6,500
C) 7,250
D) 7,500

18. If the total amount spent on the family during the year was Rs 35,000, the amount spent for study of children and food together was? 

A) Rs 19,250
B) Rs 19,500
C) Rs 19,750
D) Rs 19,850

19. Angle of the pie-chart representing the expenditure on entertainment is?

A) 15°
B) 10°
C) 26°
D) 12¹⁄₂°

20. If the difference in the amount spent for buying clothes and house maintenance was Rs 1,500, how much they spent on house maintenance?

A) Rs 5,000
B) Rs 6,000
C) Rs 7,000
D) Rs 8,000

MATHS — PRACTICE SET 10 (IN PDF) — TEST WITH SOLUTION