SSC CGL 2017 EXAM PAPER : Held on 20-AUG-2017 Shift-1 (Mathematics)

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SSC CGL 2017 EXAM PAPER : Held on 20-AUG-2017 Shift-1

(Mathematics)


QID : 51 - What least number must be added to 213, so that the sum is completely divisible by 9?

Options:

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

Correct Answer: 3

QID : 52 - A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?

Options:

1) 1/3
2) 1/2
3) 1/4
4) 1/5

Correct Answer: 1/2

QID : 53 - What is the area (in sq cm) of an equilateral triangle of side 6 cm?

Options:

1) 36√3
2) 9
3) 36
4) 9√3

Correct Answer: 9√3

QID : 54 - What is the effective discount on two successive discounts of 20% and 25%?

Options:

1) 45%
2) 40%
3) 50%
4) 60%

Correct Answer: 40%

QID : 55 - Profit of Rs 12,400 has to be divided between three partners A, B and C in the ratio 5:7:8. How much does B get (in Rs)?

Options:

1) 4340
2) 3440
3) 3340
4) 4430

Correct Answer: 4340

QID : 56 - The average weight of P, Q and R is 47 kg. If the average weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the weight of Q (in kgs)?

Options:

1) 25
2) 21
3) 29
4) 33

Correct Answer: 21

QID : 57 - A shopkeeper by selling 5 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?

Options:

1) 20%
2) 25%
3) 16%
4) 22.5%

Correct Answer: 25%

QID : 58 - What is the value of 20% of 500% of 50?

Options:

1) 0.5
2) 5000
3) 500
4) 50

Correct Answer: 50

QID : 59 - To cover a distance of 90 km in 2.5 hours what should be the average speed of the car in meters/second?

Options:

1) 10
2) 20
3) 30
4) 40

Correct Answer: 10

QID : 60 - If in 3 years at simple interest the principal increases by 18%, what will be the compound interest (in Rs) earned on Rs. 25,000 in 3 years at the same rate?

Options:

1) 4775.4
2) 5774.4
3) 4557.4
4) 5575.4

Correct Answer: 4775.4

QID : 61 - If 5x + 6(3-2x) = 4, then what is the value of x?

Options:

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

Correct Answer: 2

QID : 62 - If a + b = 1 and ab = -6, then what is the value of a3 + b3?

Options:

1) 17
2) 15
3) 19
4) 13

Correct Answer: 19

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QID : 63 - The sum of a non-zero number and twenty times its reciprocal is 9. What is the number?

Options:

1) -5
2) 3
3) -3
4) 5

Correct Answer: 5

QID : 64 - If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

Options:

1) 53
2) 49
3) 57
4) 61

Correct Answer: 53

QID : 65 - What is the reflection of the point (3,-5) in the origin?

Options:

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

Correct Answer: (-3, 5)

QID : 66 - Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?

Options:

1) (6, 4)
2) (8, 2)
3) (1,-2)
4) (-6, -2)

Correct Answer: (8, 2)

QID : 67 - What is the slope of the line perpendicular to the line passing through the points (-2, 3) and (2, 0)?

Options:

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

Correct Answer: 4/3

QID : 68 - ∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR is 1:2 and if PQ = 10 cm then what is the length of AB (in cm)?

Options:

1) 5
2) 20
3) 25
4) 15

Correct Answer: 5

QID : 69 - What is the value of Sin 30° + Cos 30°?

Options:

1) (√6 + 1)/√3
2) (√3 + 2)/√3
3) (1 + √3)/2
4) 5/√3

Correct Answer: (1 + √3)/2

QID : 70 - ∆ ABC is right angled at B. If m∠A = 30°., then Sec C =?

Options:

1) 1/2
2) 1/√2
3) 2
4) 1/√3

Correct Answer: 2

QID : 71 - If Sin θ = 12/13, then what is the value of Cot θ?

Options:

1) 13/12
2) 5/13
3) 5/12
4) 13/5

Correct Answer: 5/12

QID : 72 -

What is the ratio of the population densities of country C to country D?

Options:

1) 3 : 4
2) 4 : 3
3) 5 : 4
4) 4 : 5

Correct Answer: 3 : 4

QID : 73 -

What is the difference in the average number of people living per 1,000 sq km in countries E and F?

Options:

1) 250
2) 4000
3) 400
4) 2500

Correct Answer: 2500

QID : 74 -

Population density of country E is greater than population density of country D by:

Options:

1) 50%
2) 100%
3) 200%
4) 300%

Correct Answer: 100%

QID : 75 -

If area of country B is 20,00,000 sq km, what is its population?

Options:

1) 10000000
2) 2500000
3) 25000000
4) 1000000

Correct Answer: 1000000

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