# SSC CGL 2017 EXAM PAPER : Held on 16-AUG-2017 Shift-2 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 16-AUG-2017 Shift-2

## (Mathematics)

**QID : 151 - For what value of X, 211X will be a perfect square?**

**Options:**

1) 4

2) 5

3) 6

4) 9

**Correct Answer: 6**

**QID : 152 - 2 men or 3 women can complete a job in 96 days. Then 6 men and
7 women will complete the same job in how many days?**

**Options:**

1) 18

2) 27

3) 20

4) 24

**Correct Answer: 18**

**QID : 153 - If the radius of the cylinder is decreased by 20%, then by how
much percent the height must be increased, so that the volume of the cylinder
remains same?**

**Options:**

1) 20

2) 36.25

3) 56.25

4) 65

**Correct Answer: 56.25**

**QID : 154 - The marked price of an article is 40% more than its cost
price. If 15% discount is given on the marked price, then what will be the
profit percentage?**

**Options:**

1) 25

2) 15

3) 21

4) 19

**Correct Answer: 19**

**QID : 155 - Three partners A, B and C share profit such that three times
the share of A is equal to two times the share of B and equal to 12 times the
share of C. What is the ratio of the profits of A, B and C respectively**

**Options:**

1) 3 : 2 : 12

2) 12 : 2 : 3

3) 4 : 6 : 1

4) 1 : 6 : 4

**Correct Answer: 4 : 6 : 1**

**QID : 156 - The average of 8 consecutive natural numbers is 38.5. What is
the largest of these 8 numbers?**

**Options:**

1) 41

2) 39

3) 42

4) 45

**Correct Answer: 42**

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**QID : 157 - If the cost price of 48 articles is equal to the selling price
of 32 articles, then what is the profit percentage?**

**Options:**

1) 20

2) 25

3) 50

4) 75

**Correct Answer: 50**

**QID : 158 - After deducting 12% from a certain sum and then deducting 25%
from the remainder, 2508 is left, then what is the initial sum?**

**Options:**

1) 3500

2) 3450

3) 3970

4) 3800

**Correct Answer: 3800**

**QID : 159 - Two trains are moving in the opposite direction at speed of 30
km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively.
What is the time taken (in seconds) by slower train to cross the faster train?**

**Options:**

1) 48

2) 54

3) 62

4) 72

**Correct Answer: 48**

**QID : 160 - A person lent certain sum of money at 10% per annum simple
interest. In 20 years the interest amounted to Rs 500 more than the sum lent.
What was the sum lent (in Rs)?**

**Options:**

1) 200

2) 500

3) 1000

4) 250

**Correct Answer: 500**

**QID : 161 - If a = 73, b = 74 and c = 75, then what is the value of a ^{3}
+ b^{3} + c^{3} – 3abc?**

**Options:**

1) 365

2) 444

3) 666

4) 999

**Correct Answer: 666**

**QID : 162 - If x ^{2} + (1/x^{2}) = 31/9 and x > 0, then
what is the value of x^{3} + (1/x^{3})?**

**Options:**

1) 70/9

2) 154/27

3) 349/27

4) 349/7

**Correct Answer: 154/27**

**QID : 163 - **

**Options:**

1) 1

2) 2

3) (x – 2)/(x – 1)

4) (x + 3)/(x + 1)

**Correct Answer: 1**

**QID : 164 - If x – (1/x) = 3, then what is the value of (2x ^{4} +
3x^{3} + 13x^{2} – 3x + 2) / (3x^{4} + 3)?**

**Options:**

1) 1/3

2) 2/3

3) 4/3

4) 5/3

**Correct Answer: 4/3**

**QID : 165 - **

**Options:**

1) 10

2) 60

3) 100

4) 170

**Correct Answer: 100**

**QID : 166 - **

**Options:**

1) (2√5)/3

2) (3√2)/5

3) (3√5)/2

4) (2√3)/5

**Correct Answer: (3√5)/2**

**QID : 167 - ΔPQR has sides PQ and PR measuring 983 and 893 units
respectively. How many such triangles are possible with all integral sides?**

**Options:**

1) 1876

2) 90

3) 1785

4) 1786

**Correct Answer: 1785**

**QID : 168 - **

**Options:**

1) 15

2) 18

3) 20

4) 21

**Correct Answer: 18**

**QID : 169 - What is the simplified value of sec6 A – tan6 A – 3 sec2 A
tan2 A?**

**Options:**

1) –1

2) 0

3) 1

4) sec A tan A

**Correct Answer: 1**

**QID : 170 - What is the simplified value of (cosec A – sin A)(sec A – cos
A)(tan A + cot A)?**

**Options:**

1) –1

2) 0

3) 1

4) 2

**Correct Answer: 1**

**QID : 171 - What is the simplified value of (cos4 A – sin4 A)?**

**Options:**

1) 0

2) 2 cos2 A

3) cos 2A

4) 1

**Correct Answer: cos 2A**

**QID : 172 - **

**How many runs has the player scored against Pakistan?**

**Options:**

1) 272

2) 192

3) 256

4) 144

**Correct Answer: 192**

**QID : 173 - **

**The difference between the runs scored against England and Pakistan is
same as the difference between which of the following two countries?**

**Options:**

1) South Africa and Sri Lanka

2) South Africa and New Zealand

3) Australia and Sri Lanka

4) Australia and New Zealand

**Correct Answer: Australia and New Zealand**

**QID : 174 - **

**What is the difference in runs scored by the player against Australia and
Sri Lanka?**

**Options:**

1) 256

2) 128

3) 114

4) 80

**Correct Answer: 256**

**QID : 175 - **

**Difference between the total runs scored against Australia and New Zealand
and the total runs scored against Sri Lanka and Pakistan make what sectorial
angle (in degrees) in the pie chart?**

**Options:**

1) 90

2) 144

3) 36

4) 72

**Correct Answer: 72**

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Courtesy : SSC