# SSC CGL MATHS — PRACTICE SET 4 — SOLVED

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#### SSC CGL MATHS — PRACTICE SET 4 — 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. The sum of all the digits from 1 to 100 is ?**

A) 109

B) 900

C) 901

D) 902

**2. Find the remainders in ****2 ^{11}/5**

A) 0

B) 1

C) 2

D) 3

**3. ****If x ^{4} + 1/x^{4} = 119; then x^{3} – 1/x^{3} = ?**

A) 11

B) 63

C) 36

D) 30

**4. A mixture contains 80% acid and rest water. Part of the mixture that should be removed and replaced by same amount of water to make the ratio of acid and water 4 : 3 is ?**

A) 1/3

B) 3/7

C) 2/3

D) 2/7

**5. 5 members of a team are weighed consecutively and their average weight calculated after each member is weighed. If the average weight increases by 1 kg each time. How much heavier is the last player than the first?**

A) 5 kg

B) 9 kg

C) 8 kg

D) 11 kg

**6. A, B, C started a business by investing Rs.20,000, 25000, 40000 respectively. They decided to receive 10% interest on their capitals and the balance of the profit to be divided equally. If they got Rs 20500 as the annual profit, find the share of C including the interest?**

A) 6000

B) 7000

C) 8000

D) 9000

**7. Entry fee in an exhibition was Re 1. Later this was reduced by 25% which increased the sale by 20 %. The percentage increase in the number of visitors is?**

A) 54

B) 57

C) 60

D) 66

**8. Two equal sums of money were lent out at 6% and 8% simple interest for 4 yrs. The total interest earned was Rs. 11,200. What was the total sum?**

A) 40,000

B) 80,000

C) 20,000

D) 50,000

**9. To do a certain work B would take time thrice as long as A and C together and C twice as long as A and B together. The three men together complete the work in 10 days . The time taken by A to complete the work separately.**

A) 20 days

B) 24 days

C) 30 days

D) 35 days

QUESTIONS 10 to 14: The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the given questions:

**10. What was the difference in the number of B type mobiles produced in 2007 and 2008?**

A) 2,25,000

B) 1,75,000

C) 3,55,000

D) 2,70,000

**11. If the percentage production of A type mobiles in 2008 was same as that in 2007, then the number of A type mobiles produced in 2008 would have been?**

A) 11,70,000

B) 10,50,000

C) 14,00,000

D) 13,20,000

**12. If 85% of the D type mobiles in each year were sold by the company, how many D type mobiles remained unsold? **

A) 1,18,500

B) 1,22,500

C) 76,500

D) 93,500

**13. Total number of mobiles of models A, B and E manufactured in 2007 was?**

A) 21,00,000

B) 19,25,000

C) 24,50,000

D) 22,75,000

**14 For which models was the percentage variation in production from 2007 to 2008 the maximum?**

A) D and E

B) A and B

C) B and C

D) C and D

**15. Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in the train approaching the place hears the second shot 10 minutes after the first. The speed of the train(in km/hr), supposing that sound travels at 330 m per second, is?**

A) 19.8

B) 58.6

C) 59.4

D) 111.80

**16. Three horses are tethered at 3 corners of a triangular plot of land having sides 20 m, 30 m and 40 m each with a rope of length 7 m. The area of region of this plot which can be grazed by the horses is**

A) 77/3

B) 75

C) 77

D) 80

**17. In ΔABC, P & Q are mid points of sides AB & AC respectively. R is a point on the segment PQ such that PR : QR = 1 : 2. If PR = 2 cm then BC = ?**

A) 12 cm

B) 6 cm

C) 10 cm

D) 8 cm

**18. A, B, C are 3 points on the circumference of a circle. Chord AB forms 90° at the centre and chord AC forms 110°. Find the ∠BAC.
**

A) 160°

B) 180°

C) 80°

D) 100°

**19. If cot A + cosec A = 3 and A is an acute angle; then the value of cos A is ?**

A) -1

B) -3/5

C) -2/3

D) 4/5

**20. In a triangle if sin² A + sin² B + sin² C = 2, then find whether the triangle is?**

A) isosceles

B) right

C) acute

D) obtuse

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