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SSC CGL 2017 EXAM PAPER : Held on 12-AUG-2017 Shift-1 (Mathematics)

SSC CGL 2017 EXAM PAPER : Held on 12-AUG-2017 Shift-1

(Mathematics)

QID : 51 - If 56M4 is completely divisible by 11, then what is the value of M?

Options:
1) 0

2) 1

3) 3

4) 5
Correct Answer: 5

QID : 52 - A and B can together do a piece of work in 10 days. If A works with twice of his efficiency and B works with an efficiency 1/3rd less than his efficiency, then the work gets completed in 6 days. In how many days can A and B do the work alone respectively?

Options:
1) 40/3, 40
2) 20/3, 20
3) 30, 20/3
4) 50/3, 25
Correct Answer: 40/3, 40

QID : 53 -

ssc cgl
Options:
1) 1200

2) 1800

3) 2400

4) 2800
Correct Answer: 2400

QID : 54 - What will be the net discount (in %) of two successive discounts of 15% and 35%?

Options:
1) 44.75
2) 51.25
3) 55.25
4) 56.25
Correct Answer: 44.75

QID : 55 - A company, at the time of inflation reduced the staff in the ratio 5 : 3 and average salary per employee is increased in the ratio 7 : 8. By doing so, the company saved Rs 55000. What was the initial expenditure (in Rs) of company?

Options:
1) 155000
2) 160000
3) 175000
4) 215000
Correct Answer: 175000

QID : 56 - a, b and c are 3 values, such that a + b = 5, b + c = 7.5 and c + a = 8.5. What will be the average of these values?

Options:
1) 1.5

2) 3

3) 3.5

4) 4.5
Correct Answer: 3.5

QID : 57 - Due to increase of 33.33% in the price of apples, a customer can purchase 4 apples less for Rs 16. What is the original price (in paise) of an apple?

Options:
1) 100
2) 125
3) 150
4) 400/3
Correct Answer: 100

QID : 58 - Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?

Options:
1) 30
2) 33
3) 34.5
4) 35
Correct Answer: 30

QID : 59 - A starts from a point at a speed of 30 metre/second. After 3 seconds, B starts chasing A from the same point with a speed of 50 metre/second. What will be the total distance (in metres) travelled by A and B before A is caught by B?

Options:
1) 360
2) 450
3) 600
4) 720
Correct Answer: 450

QID : 60 - The difference between compound interest and simple interest on a sum for 2 year at 20% per annum is Rs 200. If the interest is compounded half yearly, then what is the difference (in Rs) between compound and simple interest for 1st year?

Options:
1) 50
2) 75
3) 100
4) 150
Correct Answer: 50

QID : 61 -If x(2x + 3) = 90 and 7y^-1/2 + 2y^-1/2 = y^1/2 (x and y are positive numbers), then what is the value of x² + y²?

Options:
1) 45
2) 109
3) 117
4) 126
Correct Answer: 117

QID : 62 - If x/y = 4/9, then what is the value of (7x² – 19xy + 11y²)/y² ?

Options:
1) 59/81
2) 100/27
3) 319/81
4) 913/81
Correct Answer: 319/81

QID : 63 - If x – 3 + [1/(x – 3)] = 4, what is the value of (x – 3)³ + [1/(x – 3)³]?

Options:
1) 14
2) 18
3) 52
4) 76
Correct Answer: 52

QID : 64 - If x2+ y2 + z2 = xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x?

Options:
1) 0
2) 1
3) 5
4) 33/5
Correct Answer: 1

QID : 65 - The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

Options:
1) 6
2) 9
3) 12
4) 18
Correct Answer: 12

QID : 66 -

ssc cgl

Options:
1) 40

2) 60

3) 80

4) 120

Correct Answer: 40

QID : 67 - If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

Options:
1) 2√2

2) 3√2

3) 2√3

4) 3√3
Correct Answer: 2√3

QID : 68 - If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm², then what is the area (in cm²) of the triangle?

Options:
1) 125√3

2) 147√3

3) 156√3

4) 169√3
Correct Answer: 147√3

QID : 69 - What is the value of sin (–π/3) + cos(–π/6)?

Options:
1) 0
2) 1
3) 2
4) 3
Correct Answer: 0

QID : 70 - If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan²⁶ θ + cot¹⁰⁰ θ?

Options:
1) – 2
2) 0
3) 1
4) 2
Correct Answer: 2

QID : 71 - If sin 3θ sec 2θ = 1, then what is the value of [3 tan² (5θ/2) – 1]?

Options:
1) 0
2) 1
3) 2
4) 3
Correct Answer: 2

QID : 72 -

ssc cgl
If 18% of M.B.B.S. who have filled the form are from XYZ University, then how many M.B.B.S. candidates from XYZ University have filled the form?

Options:
1) 1512000
2) 1224000
3) 1440000
4) None of these
Correct Answer: 1224000

QID : 73 -

ssc cgl
What is the absolute difference in the B.Tech.'s who have filled the form and M.B.A.'s who were present in the examination?

Options:
1) 3500000
2) 3000000
3) 4050000
4) 4000000
Correct Answer: 4050000

QID : 74 -

ssc cgl
50% of others who have filled the form are B. Arch. and 45% of others who were present in the exam are B. Arch. How many B. Arch. candidates did not gave the exam?

Options:
1) 995000

2) 685000

3) 430000

4) 756000
Correct Answer: 995000

QID : 75 -

ssc cgl
Which highest qualification accounted for most number of absentees?

Options:
1) B.A.
2) Others
3) B.com.
4) None of these
Correct Answer: None of these