# SSC CGL 2017 EXAM PAPER : Held on 09-AUG-2017 Shift-1 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 09-AUG-2017 Shift-1

## (Mathematics)

**QID : 51 - **

**Options:**

1)

2)

3)

4)

Correct Answer:

**QID : 52 - **A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

**Options:**

1) A

2) B

3) C

4) A or B**Correct Answer: **C

**QID : 53 -** Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?

**Options:**

1) 12

2) 14

3) 16

4) 28**Correct Answer: **28

**QID : 54 -** The marked price of a sofa set is Rs 4800 which is sold at Rs 3672 at two successive discounts. If the first discount is 10%, then what will be the second discount (in %)?

**Options:**

1) 13

2) 14

3) 15

4) 17**Correct Answer:** 15

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**QID : 55 - **A, B and C invested amounts in the ratio 3 : 4 : 5 respectively. If the schemes offered compound interest at the rate of 20% per annum, 15% per annum and 10% per annum respectively, then what will be the ratio of their amounts after 1 year?

**Options:**

1) 3 : 15 : 25

2) 6 : 6 : 5

3) 36 : 46 : 55

4) 12 : 23 : 11**Correct Answer: **36 : 46 : 55

**QID : 56 **- The average age of 120 members of a society is 60.7 years. By addition of 30 new members, the average age becomes 56.3 years. What is the average age (in years) of newly joined members?

**Options:**

1) 36.5

2) 37.2

3) 38.3

4) 38.7**Correct Answer: **38.7

**QID : 57 -** By selling 175 pineapples, the gain is equal to the selling price of 50 pineapples. What is the gain percentage?

**Options:**

1) 28

2) 30

3) 32

4) 40**Correct Answer: **40

**QID : 58 **- If A has got 20% more marks than B, then by what percent marks of B are less than the marks of A?

**Options:**

1) 16.66

2) 20

3) 33.33

4) 14.28**Correct Answer: **16.66

**QID : 59 -** A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet?

**Options:**

1) 1:42 p.m.

2) 1:27 p.m.

3) 2:04 p.m.

4) 1:49 p.m.**Correct Answer:** 1:49 p.m.**QID : 60 -** The difference between the compound interest compounding half yearly for 1 year and the simple interest for 1 year on a certain sum of money lent out at 8% per annum is Rs 64. What is the sum (in Rs)?

**Options:**

1) 40000

2) 42000

3) 44000

4) 44800**Correct Answer:** 40000

**QID : 61 **- If (x – 2) and (x + 3) are the factors of the equation x^{2} + k_{1}x + k_{2} = 0, then what are the values of k_{1} and k_{2}?

**Options:**

1) k1 = 6, k2 = – 1

2) k 1 = 1, k 2 = – 6

3) k 1 = 1, k2 = 6

4) k1 = – 6, k2 = 1

Correct Answer: k 1 = 1, k 2 = – 6

**QID : 62 - **If (x – y) = 7, then what is the value of (x – 15)^{3} – (y – 8)^{3}?

**Options:**

1) 0

2) 343

3) 392

4) 2863**Correct Answer:** 0

**QID : 63 - **If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x^{2} – y^{2})?

**Options:**

1) 0

2) 1

3) 512√2

4) 612√2**Correct Answer: **612√2

**QID : 64 - **If p/q = r/s = t/u = √5, then what is the value of [(3p^{2} + 4r^{2} + 5t^{2})/(3q^{2} + 4s^{2} + 5u^{2})]?

**Options:**

1) 1/5

2) 5

3) 25

4) 60**Correct Answer:** 5

**QID : 65 **- In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?

**Options:**

1) 1 : 1

2) 2 : 1

3) 3 : 1

4) 4 : 1**Correct Answer:** 2 : 1

**QID : 66 **- PQR is a right angled triangle in which ∠R = 90°. If RS ⊥ PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?

**Options:**

1) 12/5

2) 36/5

3) 5

4) 2.5**Correct Answer: **12/5

**QID : 67 **- In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR = 105°, then what is the value of ∠PAR (in degrees)?

**Options:**

1) 60

2) 100

3) 105

4) 115**Correct Answer: **60

**QID : 68 -** If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?

**Options:**

1) 0

2) 5

3) 4

4) 7**Correct Answer:** 7**QID : 69 - **What is the simplified value of cosec 2A + cot 2A?

**Options:**

1) sec A

2) sec (A/2)

3) cot A

4) cot2 A**Correct Answer:** cot A

**QID : 70 - **If A = 30°, B = 60° and C = 135°, then what is the value of sin^{3}A + cos^{3}B + tan^{3}C – 3sin A cos B tan C?

**Options:**

1) 0

2) 1

3) 8

4) 9**Correct Answer:** 0

**QID : 71 -** What is the least value of tan^{2} θ + cot^{2} θ + sin^{2} θ + cos^{2} θ + sec^{2} θ + cosec^{2} θ?

**Options:**

1) 1

2) 3

3) 5

4) 7**Correct Answer: **7

**QID : 72 - **

If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths?

**Options:**

1) 15

2) 20

3) 25

4) 40**Correct Answer:** 25

**QID : 73 **-

Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?

**Options:**

1) 46

2) 51.75

3) 69

4) 103.5**Correct Answer: **69

**QID : 74 - **

If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry taught?

**Options:**

1) 136

2) 184

3) 216

4) 232**Correct Answer:** 232

**QID : 75 -**

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

**Options:**

1) 17.28

2) 18

3) 19.44

4) 36**Correct Answer: **19.44

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