Practice Sets - Maths

# SSC CGL MATHS — PRACTICE SET 5 — SOLVED

#### SSC CGL MATHS — PRACTICE SET 5 — 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. If the digits in the unit and the ten’s places of a three digit number are interchanged a new number is formed which is greater than the original number by 63. Suppose the digit in the unit place of the original number be ‘x’; then all the possible value of ‘x’ are ?

A) (7, 8, 9)
B) (2, 7, 9)
C) (0, 1, 2)
D) (1, 2, 8)

2. What is remainder when the product of 177, 414 & 837 divided by 12

A) 9
B) 0
C) 6
D) 1

3. If X : Y=5 : 6, then (3x² – 2y²) : (y² – X²) is?

A) 11:3
B) 3:11
C) 6:7
D) 1:2

4. Three glasses of capacity 2 ltrs, 5 ltrs and 9 ltrs contain mixture of milk and water with milk concentrations 90%, 80% and 70% respectively. The contents of three glasses are emptied into a large vessel. Find the ratio of milk to water in the resultant mixture?

A) 7:3
B) 121:39
C) 11:3
D) 11:39

5. The average of 5 consecutive integers starting with m is n. What is the average of 6 consecutive integers starting with (m+2)

A) n+3
B) (2n+9)/2
C) (2n+5)/2
D) n+2

6. Rs.600 are divided among A, B and C so that Rs 40 more than 2/5 of A’s share, Rs. 20 more than 2/7 of B’s share and Rs. 10 more than 9/17 of C’s share are all equal. Find out A’s share?

A) 150
B) 175
C) 400
D) 250

7. The marks of 3 students A, B and C are in the ratio 10 : 12 : 15. If the maximum marks of the paper are 100, then the marks of B cannot be in the range of ?

A) 61 to 70
B) 71 to 80
C) 51 to 60
D) 81 to 100

8. There are three bottles of alcohol A, B and C with the capacity of 4, 5 and 1 litres respectively. A, B and C contain 45%, 48% and X% of alcohol respectively. From bottle C some alcohol is added to A and remaining to B. Both the bottles A and B now contain 50% alcohol. Find X

A) 63%
B) 70%
C) 80%
D) 30%

9. What is the maximum percentage discount that a merchant can offer on her marked price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?

A) 50%
B) 20%
C) 16.67%
D) 33.33%

10. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for 3 years is Rs 36.60; then the sum is?

A) 8000
B) 8400
C) 4400
D) 4800

11. Two pipe p and q can fill a cistern in 12 and 15 minutes respectively. If both are opened together and at the end of 3 minutes the first one is closed; how much longer will cistern take to fill?

A) 35/4 minutes
B) 33/4 minutes
C) 30 minutes
D) 9 minutes

12. A, B, C walk 1 km in 5 minutes, 8 minutes and 10 minutes respectively. C starts walking from a point, at a certain time; B starts from the same point 1 minute later and A starts from the same point 2 minutes later than C; then A meets B and C at times?

A) 2 minutes, 3 minutes
B) 4/3 minutes, 3 minutes
C) 5/3 minutes, 2 minutes
D) 1 minute, 2 minutes

13. If a straight line ax+by = c meets x-axis at A and y-axis at B. Then area of triangle OAB where O is the point of intersection of coordinate axes, is?

A) b²/2ac
B) a²/2bc
C) c²/2ab
D) a²b²/2c

14. A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68 m/min. The area of the field is

A) 30 m²
B) 40 m²
C) 50 m²
D) 60 m²

15. 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

16. If O is the circumcentre of ΔABC and ΔOBC= 35°; then ∠BAC = ?

A) 55
B) 110
C) 70
D) 35

17. A, B, C are three points on a circle. The tangent at A meets BC produced at T, ∠BTA=40, ∠CAT=44. The angle subtended by BC at the centre of the circle is ?

A) 84
B) 92
C) 96
D) 104

18. If sin A + sin² A + sin³ A = 1; then find  cos6 A – 4cos4+ 8cos² A

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

19. [tan/(1 – cot)] + [cot/(1 – tan)] = ?

A) 1 – tan + cot
B) 1 + tan + cot
C) 1 – tan – cot
D) 1 + tan – cot

20. If sin (x+y) = cos 3(x+y); then the value of tan 2(x+y) is ?

A) 1
B) 0
C) √(1/3)
D) √3

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