# SSC CGL 2017 EXAM PAPER : Held on 12-AUG-2017 Shift-2 (Mathematics)

**SSC CGL 2017 EXAM PAPER : Held on 12-AUG-2017 Shift-2**

**(Mathematics)**

**QID : 151 ** - Which of the following can't be the unit's digit of a perfect square?

**Options:**

1) 4

2) 6

3) 8

4) 9** Correct Answer: **8

**QID : 152 ** - Amar can complete a work in 30 days and Raman can complete the same work in 15 days. If both of them work together, then in 4 days what percent of the total work will be completed?

**Options:**

1) 15

2) 37

3) 40

4) 45

**Correct Answer**: 40

**QID : 153 ** - The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm^{2}) of the trapezium?

**Options:**

1) 35

2) 75

3) 150

4) 225 **Correct Answer**: 150

**QID : 154 **- What will be the net discount percentage of three successive discounts of 20%, 10% and 30%?

**Options:**

1) 45.2

2) 49.6

3) 54.6

4) 50.4

**Correct Answer:** 49.6

**QID : 155 ** - Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

**Options:**

1) 49.6

2) 52.3

3) 51.2

4) 50.7 **Correct Answer:** 50.7

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**QID : 156 **- Seven friends spent Rs 14 each on a project and the eighth friend spent Rs 21 more than the average expenditure of all eight of them. What is the amount of total money (in Rs) spent by them?

**Options:**

1) 133

2) 136

3) 141

4) 155 **Correct Answer**: 136

**QID : 157 **- A person sold his pen for Rs 24 and his profit percentage was numerically equal to the cost price. What was the cost price (in Rs) of the pen?

**Options:**

1) 12

2) 14

3) 16

4) 20 **Correct Answer:** 20

**QID : 158 **- A, B and C are three students. A got 36% less marks than B and 16% more marks than C. If B got 145 marks, then what are the marks got by C?

**Options:**

1) 120

2) 110

3) 80

4) 75 **Correct Answer**: 80

**QID : 159 ** - After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?

**Options:**

1) 6 hours 15 minutes

2) 6 hours 45 minutes

3) 7 hours

4) 7 hours 30 minutes**Correct Answer:** 6 hours 45 minutes**QID : 160 ** - If a certain sum of money become thrice of itself in 5 years 4 months at simple interest, then what will be the yearly rate of interest (in %)?

**Options:**

1) 18.75

2) 27.5

3) 37.5

4) 42.25** Correct Answer: **37.5

**QID : 161 ** - If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a^{3} + b^{3} + c^{3} – 3abc?

**Options:**

1) 121

2) 168

3) 300

4) 770 **Correct Answer: **770 **QID : 162 - **

**Options:**

1) 144

2) 288

3) 396

4) 488

**Correct Answer**: 488

**QID : 163 - **

**Options:**

1) –1

2) 0

3) 4

4) 16

**Correct Answer**: 0

**QID : 164 **- If (x/5) + (5/x) = – 2, then what is the value of x^{3}?

**Options:**

1) –125

2) 5

3) 1/125

4) 625 **Correct Answer:** –125 **QID : 165 ** - In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?

**Options**:

1) 107.5

2) 112.5

3) 117.5

4) 122.5 **Correct Answer**: 112.5

**QID : 166 ** - In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

**Options:**

1) 30

2) 36

3) 45

4) 60 **Correct Answer:** 30 **QID : 167 - **

** Options:**

1) 2.5

2) 3

3) 4.5

4) 5** Correct Answer:** 2.5

**QID : 168 - **

**Options:**

1) 144

2) 216

3) 256

4) 288** Correct Answer:** 144

**QID : 169** - What is the simplified value of (cosec A + sin A)(cosec A – sin A)?

**Options:**

1) cos^{2} A + cot^{2} A

2) 2 cos^{2} A

3) 2 cot^{2 }A

4) 2 cos A cot A

**Correct Answer:** cos^{2} A + cot^{2} A

**QID : 170 - **

**Options:**

1) cosec A

2) √2 cosec A

3) 2 sec^{2}A

4) sec A **Correct Answer:** √2 cosec A

**QID : 171 - **

**Options:**

1) sin A + cos A

2) 1 + sin 2A

3) 1 + cos 2A

4) tan A + cot A **Correct Answer:** 1 + sin 2A

**QID : 172 - **

What is average per acre yield (in million tonnes) of these 7 countries?

**Options:**

1) 163.14

2) 184.28

3) 146.78

4) 198.26 **Correct Answer:** 184.28

**QID : 173 - **

What is the respective ratio of average per acre yield of the 3 countries having the highest yield to average per acre yield of the 3 countries having the least yield?

**Options:**

1) 148 : 65

2) 201 : 149

3) 89 : 69

4) 137 : 51** Correct Answer:** 137 : 51

**QID : 174 - **

Total per acre yield of India and China is what percent of the total per acre yield of the remaining countries?

**Options:**

1) 44.34

2) 56.68

3) 83.24

4) 79.66 **Correct Answer: **79.66

**QID : 175 - **

All the countries are arranged in ascending order of per acre yield. If bottom 2 countries increases their per acre yield by 20% and all other countries increase their per acre yield by 10%, then what is the new average per acre yield (in million tonnes)?

** Options:**

1) 205.37

2) 210.82

3) 201.19

4) 199.26 **Correct Answer:** 205.37

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