# SSC CGL MATHS — PRACTICE SET 3 — SOLVED

#### SSC CGL MATHS — PRACTICE SET 3 — 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. Find the number of zeros in the product 2*4*6*8*……………….98**

A) 42

B) 10

C) 24

D) 32

**2. The ratio of the sum to the LCM of two natural numbers is 7:12. If their HCF is 4, then the smaller number is:**

A) 20

B) 16

C) 12

D) 8

**3. ****25 ^{25} is divided by 26, the remainder is?**

A) 1

B) 2

C) 24

D) 25

**4. ****If 2x + 2/x = 1, then find the value of x³ + 1/x³**

A) -8/11

B) -11/8

C) 3/2

D) 2/3

**5. If x² + y² – 2x + 6y + 10 = 0, then the value of x² + y² is?**

A) 5

B) 10

C) 15

D) 12

**6. 9 liters are drawn from a cask full of water and it is filled with milk. Then 9 liters of mixture is drawn and the cask is again filled with milk. The quantity of water now left in the cask to that of milk is 16 : 9. How much does the cask hold?**

A) 35 liters

B) 25 (liters

C) 53 liters

D) 45 liters

**7. By selling an article at 80% of its marked price, a merchant makes a loss of 12%. What will be the percent profit made by the merchant if he sells the article at 95% of its marked price?**

A) 5% profit

B) 1% loss

C) 5.5% profit

D) 4.5% profit

**8. The population of a town is 6000. In the next year if males increase by 8% and females by 10% the population is 6530. Find the number of males in the town.**

A) 3500

B) 4500

C) 3200

D) 4000

**9. A man spends an average of Rs. 1,694.70 per month for the first 7 months and Rs.1,810.50 per month for the next 5 months. His monthly salary if he saves Rs. 3,084.60 during the whole year is?**

A) Rs 1000

B) Rs 2000

C) Rs 2400

D) Rs 3000

**10. 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

**11. At a certain rate p.a. the SI on a sum of money for one year is Rs. 260 and the CI on the same sum for two years is Rs. 540.80. The rate of interest per annum is**

A) 4

B) 6

C) 8

D) 10

**12. 3 men and 4 women can do a work in 16 days but 4 men and 3 women can do the same work in 12 days; then 2 men and 5 women can do the same work in ?**

A) 6 days

B) 14 days

C) 16 days

D) 24 days

**13. Supposing that telegraph poles on a railroad are 50 m apart, how many will be passed by a train in 4 hours if the speed of the train is 45 km an hour.**

A) 3601

B) 3600

C) 360

D) 361

**14. The height of a right circular cone and the radius of its circular base are respectively 9 cm and 3 cm. The cone is cut by a plane parallel to its base so as to divide it into two parts. The volume of the frustum of the cone is 44 cm³. The radius of the upper circular surface of the frustum is?**

A) 13

B) ∛13

C) ∛27

D) 27

**15. ****If cosec X – sin X = a³ and sec X – cos X = b³; then what is the value of a²b²(a²**** + b²)**

A) 0

B) 1

C) 2

D) 3

**16. ****If (a² – b²) sin X + 2ab cos X = a² + b²; then tan X = ?**

A) (a² + b²)/2ab

B) (a² – b²)/2

C) (a² – b²)/2ab

D) (a² + b²)/2

**17. ****If a regular polygon has each of its angles equal to 3/5 times of two right angles, then the number of sides is ?**

A) 5

B) 6

C) 7

D) 8

**18. The two diagonals of a rhombus are of lengths 55 cm and 48 cm. If P is the perpendicular height of the rhombus then which is correct?**

A) 36 < P < 37

B) 35 < P < 36

C) 34 < P < 35

D) 33 < P < 34

**19. D is a point on the side AC of triangle ABC. P, Q, X, Y are mid-points of AB, BC, AD, DC. What will be the ratio of PX and QY?**

A) 1:1

B) 1:2

C) 2:1

D) 2:3

**20. ****The difference between the radii of the circular ends of a bucket is 20 cm. If height of the bucket is 15 cm, find its slant height. **

A) 30 cm

B) 25 cm

C) 15 cm

D) 20 cm