# CGL MATHS SOLVED PRACTICE SET 11

#### MATHS — PRACTICE SET 11 — 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. What is the unit place of 122 ^{173}?**

A) 6

B) 3

C) 2

D) 1

**2. Find the sum of first 50 terms in the series: 5 + 3 – 7 + 5 + 3 …**

A) 1

B) 8

C) 24

D) 40

**3. The greatest common divisor of (3 ^{3})^{333} + 1 and **

**(3**

^{3})^{334}**+ 1**

a) 2

b) 1

c) (3^{3})^{333} + 1

d) 20

**4. If x + 1/x = √3; then the value of x ^{18} + x^{12} + x^{6} + 1 is ?**

A) 0

B) 1

C) 2

D) 3

**5. If a/b = b/c = c/d; then (b³ + d³ + c³)/(a³ + b³ + c³) = ?**

A) d/a

B) d/c

C) a/b

D) a/d

**6. In what proportion may these kinds of tea of prices @Rs 80, Rs 70 and Rs 50 per kg be mixed to produce a mixture of Rs 60 per kg?**

A) 2 : 2 : 3

B) 1 : 1 : 3

C) 1 : 1 : 2

D) 2 : 3 : 2

**7. Out of 10 teachers of a school one teacher retires and in his place a new teacher of age 25 years joins. As a result the average age of teachers is reduced by 3 years. The age in years of the retired teacher is?**

A) 60 years

B) 62 years

C) 58 years

D) 55 years

**8. If (a+b) : (b+c) : (c+a) = 6 : 7 : 8**

**and a+b+c = 14 then, the value of ‘c’ ?
**

A) 6

B) 7

C) 8

D) 9

**9. A reduction of 20% in the price of sugar enables a purchaser to obtain 3 kg more for 120; the original price of sugar is?**

A) Rs 8 per kg

B) Rs 7 per kg

C) Rs 10 per kg

D) Rs 12 per kg

**10. An article is sold at a certain fixed price. By selling it at 2/3 of that price, one loses 10%. The gain percent on selling it at the original price is?**

A) 25%

B) 15%

C) 28%

D) 35%

**11. Rs 3000 amounts to Rs 6750 after a certain period of time when the interest is applied annually. What will the amount be if the time period is taken half of the previous time?**

A) Rs 3750

B) Rs 4000

C) Rs 4550

D) Rs 4875

**12. Ram can do a work in 5 days less than the time taken by Shyam to do it. If both of them together take 100/9 days, then the time taken by Shyam alone to do the same work (in days) is?**

A) 15

B) 25

C) 20

D) 30

**13. Train A leaves Meerut at 4 pm and arrives Ghaziabad at 5pm. Train B leaves Ghaziabad at 4 pm and arrives Meerut at 5.30 pm. At what time both the trains would meet each other?**

A) 4:00 pm

B) 4:36 pm

C) 4:25 pm

D) 4:50 pm

**14. A solid right circular cylinder and a solid hemisphere stand on equal bases and have the same height. The ratio of their whole surface area is?**

A) 4:3

B) 3:4

C) 2:3

D) 3:2

**15. A cylindrical can whose base is horizontal and is of internal radius 3.5 cm, contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put is?**

A) 7/3 cm

B) 14/3 cm

C) 35/3 cm

D) 17/3 cm

**16. In a 8 cm equilateral triangle two other equilateral triangles are made from its centroid so that they divide the main equilateral triangle in three equal areas; then find the length of side of the smaller triangle.**

A) 4

B) 2√2

C) 8/√3

D) 8/3

**17. What is the difference between the areas of the circumcircle and incircle of a regular polygon of length ‘2a’ as its side.**

A) πa²

B) a²

C) 2a²

D) 4a²

**18. Radius of a circle is 10. Two chords of 16 cm and 17 cm cut each other perpendicularly; then distance between center of the circle and the intersecting point of two chords is ?**

A) 6.5

B) 7.6

C) 8

D) 7.2

**19. sin+ cosθ = √2 cosθ. Find value of cosθ – sinθ**

A) √3 cosθ

B) √3 sinθ

C) √2 cosθ

D) √2 sinθ

**20. (sin 20)(sin 40)(sin 60)(sin 80) = ?**

A) 1/16

B) 1/8

C) 3/16

D) 1/2