# SSC CGL MATHS — PRACTICE SET 7 — SOLVED

#### SSC CGL MATHS — PRACTICE SET 7 — 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. Three numbers non-divisible by each other are such that the product of the first two is 551 and product of the last two is 1073. Find their sum.**

A) 75

B) 81

C) 85

D) 89

**2. Product of two co-prime numbers is 117; then their LCM is?**

A) 13

B) 39

C) 117

D) 9

**3. Which two digit number when divided by 3 gives remainder of 1; when divided by 4 gives remainder of 2; when divided by 5 gives remainder of 3; and when divided by 6 gives remainder of 4? **

A) 60

B) 58

C) 56

D) 50

**4. If x + y + z = 1, xy + yz + zx = -1, xyz = -1, then what is the value of x³ + y³ + z³ = ?**

A) 0

B) -1

C) -2

D) 1

**5. ****If x ^{1/3} + y^{1/3} = z^{1/3}; then (x + y – z)³ + 27xyz is equal to?**

A) 0

B) 1

C) 2

D) 3

**6. How much water must be added to 60 litres of milk at 3/2 litres for Rs 20 so as to have a mixture worth Rs 32/3 a litre?**

A) 60

B) 18

C) 15

D) 30

**7. A man’s pension on retirement from service is equal to the half the average salary during last 3 years of his service. His salary from 1.1.83 is Rs 380 a month with increment of Rs 40 due on 1.10.83, 1.10.84 and 1.10.85. If he retires on 1.1.86, what pension does he draw?**

A) 205

B) 215

C) 225

D) 230

**8. The ratio of earth to water on the entire earth surface is 1:2, and this ratio is 2:3 in the northern hemisphere. The ratio of earth to water in southern hemisphere would be ?**

A) 3:11

B) 4:11

C) 11:4

D) 11:3

**9. At a place married males are 25% and married females are 45%. Find the percentage of total persons.**

A) 32.14

B) 32

C) 30.15

D) 35

**10. A man sells two horses for Rs 1710. The cost price of the first is equal to the selling price of the second. If the first is sold at 10% loss and the second at 25% gain, what is his total gain or loss (in rupees).**

A) Rs 80

B) Rs 100

C) Rs 90

D) Rs 85

**11. The difference between the compound interest and simple interest on a certain sum for 2 yrs at 10% per annum is Rs. 300. Find the sum.**

A) 31500

B) 30000

C) 30500

D) 31000

**12. A and B together can do 11/19 of a work. In the same time B and C together can do 14/19 of the same work. The ratio of work done by A, B and C is ?**

A) 5 : 6 : 7

B) 5 : 6 : 8

C) 6 : 5 : 8

D) 8 : 6 : 5

**13. A person walks a distance in 114 days, when he rests 9 hours a day. How long will he take to walk twice the distance if he walks twice as fast and rests twice as long each day as before?**

A) 57 days

B) 228 days

C) 285 days

D) 324 days

**14. A train travelling with a speed of 60 km/h catches another train travelling in the same direction and leaves it 120 meters behind in 18 seconds. The speed of the second train is?**

A) 26 km/h

B) 35 km/h

C) 36 km/h

D) 63 km/h

**15. The base of a solid right prism is a triangle whose sides are 9 cm, 12 cm, 15 cm. The height of the prism is 5 cm, find total surface area of the prism.**

A) 188

B) 200

C) 155

D) 288

**16. A right circular cylinder is circumscribing a hemisphere such that their bases are common. The ratio of their volume will be?**

A) 1:3

B) 1:2

C) 2:3

D) 3:4

**17. The lengths of two adjacent sides of a parallelogram are 5 cm and 3.5 cm respectively. One of its diagonals is 6.5 cm long, the area of the parallelogram is?**

A) 8√3 cm²

B) 12√3 cm²

C) 15 cm²

D) 10√3 cm²

**18. The area of circle whose radius is 8 cm is trisected by two concentric circles. The ratio of radii of the concentric circles in ascending order is ?**

A) 1, 2, 3

B) 2, 3, 5

C) 1, √2, √3

D) √2, √3, √5

**19. If tan α = n tan β and sin α = m sin β, then cos²α is?**

**20. The equation (cosP-1)x²+(cosP)x+sinP = 0, where x is a variable, has real roots. Then the interval of P may be one of the following?**

A) 0, 2π

B) -π, 0

C) -π/2, π/2

D) 0, π