# SSC CGL 2017 EXAM PAPER : Held on 20-AUG-2017 Shift-2 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 20-AUG-2017 Shift-2

**(Mathematics)**

**QID : 151 - What is the HCF of 6345 and 2160?**

**Options:**

1) 45

2) 135

3) 270

4) 15

**Correct Answer: 135**

**QID : 152 - A can do a work in 24 days and B in 40 days. If they work on
it together for 10 days, then what fraction of work is left?**

**Options:**

1) 1/2

2) 1/3

3) 2/3

4) 3/4

**Correct Answer: 1/3**

**QID : 153 - What is the circumference (in cm) of a circle whose area is
616 sq cm?**

**Options:**

1) 44

2) 66

3) 22

4) 88

**Correct Answer: 88**

**QID : 154 - If a retailer offers a discount of 20% on the marked price of
his goods and thus ends up selling at cost price, what was the % mark up?**

**Options:**

1) 20

2) 25

3) 30

4) 40

**Correct Answer: 25**

**QID : 155 - In an MBA selection process, the ratio of selected to
unselected was 11:2. If 40 less had applied and 20 less selected, the ratio of
selected to unselected would have been 10:1. How many candidates had applied for
the process?**

**Options:**

1) 220

2) 260

3) 300

4) 340

**Correct Answer: 260**

**QID : 156 - What is the average of all natural numbers from 21 to 39?**

**Options:**

1) 30

2) 31

3) 29

4) 28

**Correct Answer: 30**

**QID : 157 - A farmer buys a goat and a sheep for Rs 3500. He sold the
sheep at a profit of 20 percent and the goat at a loss of 10 percent. If he sold
both the animals at the same price, then the cost price (in Rs) of the cheaper
animal was?**

**Options:**

1) 2000

2) 1500

3) 1750

4) 2250

**Correct Answer: 1500**

**QID : 158 - Two numbers are 10% and 20% lesser than a third number
respectively. By how much percent is the second number should be enhanced to
make it equal to the first number?**

**Options:**

1) 10

2) 15

3) 12.5

4) 8

**Correct Answer: 12.5**

**QID : 159 - Two cars A and B travel from one city to another, at speeds of
35 km/hr and 45 km/hr respectively. If car B takes 2 hours lesser time than car
A for the journey, then the distance (in kms) between the two cities is?**

**Options:**

1) 345

2) 375

3) 415

4) 315

**Correct Answer: 315**

**QID : 160 - At what rate of compound interest (in %) per annum will a sum
of Rs. 15,000 become Rs. 18,150 in 2 years?**

**Options**

1) 11

2) 10

3) 9

4) 12

**Correct Answer: 10**

**QID : 161 - If 9x - [5(2x + 1)/2] = 9/2, then the value of x is?**

**Options:**

1) 7/4

2) -7/4

3) 4/7

4) -4/7

**Correct Answer: 7/4**

**QID : 162 - If a + b = 4 and ab = -21, then what is the value of a ^{3}
+ b^{3}?**

**Options:**

1) 370

2) 158

3) 185

4) 316

**Correct Answer: 316**

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**QID : 163 - The sum of a fraction and 10 times its reciprocal is 37/4.
What is the fraction?**

**Options:**

1) 5/4

2) 4/5

3) 3/4

4) 4/3

**Correct Answer: 5/4**

**QID : 164 - The 2nd and 6th term of an arithmetic progression are 8 and 20
respectively. What is the 20th term?**

**Options:**

1) 56

2) 65

3) 62

4) 59

**Correct Answer: 62**

**QID : 165 - What is the reflection of the point (3, 2) in the line y = -2?**

**Options:**

1) (-7 , 2)

2) (-3 , -6)

3) (-7 , -2)

4) (3 , -6)

**Correct Answer: (3 , -6)**

**QID : 166 - What is the distance between the points (3 , 6) and (-2 , -6)?**

**Options:**

1) 15

2) 13

3) 11

4) 12

**Correct Answer: 13**

**QID : 167 - What is the equation of a line which has 3 as x-intercept and
-5 as y-intercept?**

**Options:**

1) 3x - 5y = 15

2) 5x - 3y = 15

3) 5x + 3y = 15

4) 3x + 5y = 15

**Correct Answer: 5x - 3y = 15**

**QID : 168 - ΔABC is right angled at B. BD is an altitude. DC = 9 cm and AC
= 25 cm. What is the value of BC (in cm)?**

**Options:**

1) 12

2) 18

3) 16

4) 15

**Correct Answer: 15**

**QID : 169 - What is the value of Tan 45° - 1/√3 Sec 60°?**

**Options:**

1) (1 - 2√3)/2

2) (√2 - √3)/√6

3) (3 - 2√3)/3

4) (1 - 2√2)/2

**Correct Answer: (3 - 2√3)/3**

**QID : 170 - Δ DEF is right angled at E. If m∠D = 30°, what is the length
of DE (in cm), if EF = 6√3 cm?**

**Options:**

1) 18

2) 12√3

3) 18√3

4) 12

**Correct Answer: 18**

**QID : 171 - If Sin θ = 20/29 , then what is the value of Sec Sin θ ?**

**Options:**

1) 29/21

2) 29/20

3) 21/20

4) 21/29

**Correct Answer: 29/21**

**QID : 172 - **

**Which two models have the same memory size?**

**Options:**

1) E and C

2) B and D

3) D and A

4) A and E

**Correct Answer: D and A**

**QID : 173 - **

**Even if memory of model C was doubled it would be lesser (in GB) than that
of model A by?**

**Options:**

1) 8

2) 12

3) 4

4) 16

**Correct Answer: 8**

**QID : 174 - **

**Even if memory of model D was halved it would be greater (in %) than that
of model B by?**

**Options:**

1) 300

2) 400

3) 75

4) 50

**Correct Answer: 300**

**QID : 175 - **

**If price of model E is increased by Rs 12,000 and its memory is doubled
the sales remain unchanged. This implies that people are willing to pay Rs
________ per extra GB of memory space.**

**Options:**

1) 1200

2) 1500

3) 1000

4) 800

**Correct Answer: 1500**