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SSC CGL 2017 EXAM PAPER : Held on 21-AUG-2017 Shift-1 (Mathematics)

SSC CGL 2017 EXAM PAPER : Held on 21-AUG-2017 Shift-1

(Mathematics)

QID : 51 - What least number must be added to 329, so that the sum is completely divisible by 7?

Options:

1) 1
2) 0
3) 2
4) 3

Correct Answer: 0

QID : 52 - A can do a work in 15 days and B in 30 days. If they work on it together, then in how many days will they be able to do 50% of the work?

Options:

1) 5
2) 6
3) 4
4) 3

Correct Answer: 5

QID : 53 - What is the area (in sq cm) of an equilateral triangle of side 10 cm?

Options:

1) 25√3
2) 50√3
3) 75√3
4) 10√3

Correct Answer: 25√3

QID : 54 - What is the effective discount (in %) on two successive discounts of 15% and 50%?

Options:

1) 65
2) 57.5
3) 35
4) 42.5

Correct Answer: 57.5

QID : 55 - Profit of Rs 42,500 has to be divided between three partners A, B and C in the ratio 3:5:9. How much (in Rs) does A get?

Options:

1) 12500
2) 9500
3) 22500
4) 7500

Correct Answer: 7500

QID : 56 - The average weight of A, B and C is 49 kg. If the average weight of A and B is 35 kg and that of B and C is 62 kg, then the weight of B (in kgs) is?

Options:

1) 47
2) 45
3) 43
4) 49

Correct Answer: 47

QID : 57 - A shopkeeper by selling 6 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?

Options:

1) 20
2) 25
3) 30
4) 35

Correct Answer: 20

QID : 58 - What is the value of 125% of 25% of 80?

Options:

1) 50
2) 25
3) 20
4) 40

Correct Answer: 25

QID : 59 - To cover a distance of 81 km in 1.5 hours what should be the average speed of the car in meters/second?

Options:

1) 10
2) 15
3) 12
4) 9

Correct Answer: 15

QID : 60 - In 4 years at simple interest the principal increases by 32%. What will be the compound interest earned (in Rs) on Rs. 24,000 in 3 years at the same rate?

Options:

1) 5233
2) 6332
3) 5332
4) 6233

Correct Answer: 6233

QID : 61 - If 5/2(8x/3 - 1/2) + 13/2 = 2x/3, then what is the value of x?

Options:

1) 7/8
2) 8/7
3) -8/7
4) -7/8

Correct Answer: -7/8

QID : 62 - If a³ + b³ = 72 and ab = 8 , then what is the value of a + b?

Options:

1) 2
2) 5
3) 6
4) 3

Correct Answer: 6

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QID : 63 - Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction?

Options:

1) 2/7
2) 7/2
3) 4/7
4) 7/4

Correct Answer: 7/2

QID : 64 - What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is -1 and the 8th term is 19?

Options:

1) 204
2) 99
3) 225
4) 104

Correct Answer: 99

QID : 65 - What is the reflection of the point ( -3, 2) in the line x = -2?

Options:

1) ( -3 , -6)
2) (1 , 2)
3) ( -3 , 6)
4) (-1 , 2)

Correct Answer: (-1 , 2)

QID : 66 - Point P is the midpoint of segment AB. Co-ordinates of P are (1 , 3) and A are (-3 , 8). What are the co-ordinates of point B?

Options:

1) (-5 , -2)
2) (-5 , 2)
3) (5 , 2)
4) (5 , -2)

Correct Answer: (5 , -2)

QID : 67 - What is the slope of the line perpendicular to the line passing through the points (3 , -2) and (4 , 2)?

Options:

1) 1/4
2) 4
3) -4
4) -1/4

Correct Answer: -1/4

QID : 68 - ΔABC is similar to ΔPQR. If ratio of perimeters of ΔABC and ΔPQR is 3:7 and if PQ = 21 cm, then the length of AB (in cm) is?

Options:

1) 6
2) 14
3) 9
4) 18

Correct Answer: 9

QID : 69 - What is the value of 2 Sec 45^o + Tan 30^o ?

Options:

1) (2√6 + 1)/√3
2) √3
3) (2√2 + 3)/√6
4) (9 + 2√3)/9

Correct Answer: (2√6 + 1)/√3

QID : 70 - Δ ABC is right angled at B. If m∠A = 60°, then what is the value of Cot C?

Options:

1) √2
2) 1/√3
3) √3
4) 2/√3

Correct Answer: √3

QID : 71 - If Cosec θ = 25/7 , then what is the value of Cos θ?

Options:

1) 25/24
2) 7/24
3) 24/25
4) 7/25

Correct Answer: 24/25

QID : 72 -

If Candidate A is disqualified then which candidate will be declared the winner?

Options:

1) E
2) B
3) F
4) D

Correct Answer: F

QID : 73 -

The winning candidate got how many more votes than the one who came second?

Options:

1) 6000
2) 5000
3) 11000
4) 7000

Correct Answer: 6000

QID : 74 -

Analysts believe that if candidate E had not stood in the fray then votes that he got would have been equally divided between F and C, then what would have been the result?

Options:

1) A would have lost by 1000 votes
2) F would have won by 2000 votes
3) F would have lost by 2000 votes
4) A would have won by 1000 votes

Correct Answer: F would have won by 2000 votes

QID : 75 -

If voting attendance was 60% then how many names must be there in the voter list?

Options:

1) 225000
2) 90000
3) 144000
4) 150000

Correct Answer: 150000