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SSC CGL 2017 EXAM PAPER : Held on 18-AUG-2017 Shift-1 (Mathematics)

SSC CGL 2017 EXAM PAPER : Held on 18-AUG-2017 Shift-1

(Mathematics)

QID : 51 - What is the remainder when 6729 is divided by 35?

Options:

1) 11
2) 7
3) 19
4) 13

Correct Answer: 19

QID : 52 - A, B and C can finish a job working alone in 72, 24 and 36 days respectively. In how many days they can finish the job if they worked together?

Options:

1) 12
2) 9
3) 15
4) 18

Correct Answer: 12

QID : 53 - Area of 4 walls of a cuboid is 448 sq cm, its length is 18 cm and height is 8 cm. What is its breadth (in cm)?

Options:

1) 10
2) 9
3) 8
4) 7

Correct Answer: 10

QID : 54 - At 10% discount the selling price of an article is Rs 4500, what is the selling price (in Rs) if the discount is 27.5%?

Options:

1) 4000
2) 3625
3) 3500
4) 3125

Correct Answer: 3625

QID : 55 - What is the fourth proportional to 72, 168 and 150?

Options:

1) 450
2) 300
3) 350
4) 400

Correct Answer: 350

QID : 56 - What is the average of all numbers between 11 and 80 which are divisible by 6?

Options:

1) 46
2) 47
3) 44
4) 45

Correct Answer: 45

QID : 57 - A trader had 960 kgs of rice. He sold a part of it at 20% profit and the rest at 8% profit, so that he made a total profit of 12%. How much rice (in kgs) did he sell at 8% profit?

Options:

1) 460
2) 560
3) 540
4) 640

Correct Answer: 640

QID : 58 - If 40% of x = y, then y% of 40 is same as _____ of x.

Options:

1) 16%
2) 4%
3) 8%
4) 160%

Correct Answer: 16%

QID : 59 - Excluding stoppages, the speed of a bus is 72 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?

Options:

1) 12
2) 8
3) 15
4) 10

Correct Answer: 10

QID : 60 - The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?

Options:

1) 8
2) 10
3) 12
4) 5

Correct Answer: 10

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QID : 61 - If [7(5x/3 - 3/2)]/2 + 3/2 = 1/4, then what is the value of x?

Options:

1) 35/24
2) 24/35
3) -24/35
4) -35/24

Correct Answer: 24/35

QID : 62 - If a³ + b³ = 19 and ab = -6 , then what is the value of a + b?

Options:

1) 5
2) 7
3) 1
4) -5

Correct Answer: 1

QID : 63 - Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

Options:

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

Correct Answer: 3/4

QID : 64 - What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

Options:

1) 67
2) 45
3) -30
4) -48

Correct Answer: -30

QID : 65 - What is the reflection of the point (5, 2) in the line x = -3?

Options:

1) (-11 ,2)
2) (-11 ,-2)
3) (11 ,-2)
4) (11 ,2)

Correct Answer: (-11 ,2)

QID : 66 - What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

Options:

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

Correct Answer: (1 , -1)

QID : 67 - Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

Options:

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

Correct Answer: 1

QID : 68 - D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

Options:

1) (4:45)
2) (45:4)
3) (8:45)
4) (45:8)

Correct Answer: (4:45)

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

Options:

1) (2√3 - 1)/3
2) (√3 - 1)/√3
3) (2√3 - 1)/√3
4) (√3 - 1)/3

Correct Answer: (2√3 - 1)/√3

QID : 70 - ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?

Options:

1) 2/√3
2) 2/3
3) √2/√3
4) √2/3

Correct Answer: 2/√3

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

Options:

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

Correct Answer: 24/7

QID : 72 -

In which country inflation in 2016 was lower than that of the previous year?

Options:

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

Correct Answer: C

QID : 73 -

By what percent inflation in 2016 was greater than the inflation in 2015 in country D?

Options:

1) 60
2) 100
3) 150
4) 120

Correct Answer: 150

QID : 74 -

In the year 2015, what is the ratio of inflation in country C to country A?

Options:

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

Correct Answer: 2 : 1

QID : 75 -

If inflation is measured as increase in price index and the price index was 200 in the beginning of 2015 in country D then what is the index at the end of 2016?

Options:

1) 207
2) 207.2
3) 210
4) 214.2

Correct Answer: 214.2