# 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 - **

** 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

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**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 x^{2} + y^{2}?

**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 (7x^{2} – 19xy + 11y^{2})/y^{2} ?

**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 - **

**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 cm^{2}, then what is the area (in cm^{2}) 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 tan^{26} θ + cot^{100} 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 tan^{2} (5θ/2) – 1]?

**Options:**

1) 0

2) 1

3) 2

4) 3 **Correct Answer**: 2 **QID : 72 - **

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 -**

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 - **

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 - **

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

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