# SSC CGL 2017 EXAM PAPER : Held on 16-AUG-2017 Shift-3 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 16-AUG-2017 Shift-3

## (Mathematics)

**QID : 251 - What is the sum of all prime numbers between 60 and 80?**

**Options:**

1) 272

2) 284

3) 351

4) 414

**Correct Answer: 351**

**QID : 252 - A and B have to type a book together containing 120 pages. A
takes 9 hrs to type 36 pages and B takes 5 hrs to type 40 pages. A typed first
60 pages alone and the last 60 pages were typed by A and B together. How much
time (in hours) will be taken to type the complete book?**

**Options:**

1) 24

2) 20

3) 12

4) 15

**Correct Answer: 20**

**QID : 253 - ABC is a right angled triangle in which ∠A = 90°, AB = 5 cm
and AC = 12 cm. What is the approximate volume (in cm ^{3}) of the double
cone formed by rotating the triangle about its hypotenuse?**

**Options:**

1) 145

2) 290

3) 435

4) 580

**Correct Answer: 290**

**QID : 254 - A trader allowed a discount of 15% on a trolley bag having
list price of Rs 1360 and earns a profit of 15.6%. What is the cost price (in Rs)
of the trolley bag?**

**Options:**

1) 1000

2) 1005

3) 1050

4) 1156

**Correct Answer: 1000**

**QID : 255 - Price of a diamond is directly proportional to square of its
weight. A man broke the diamond accidently in three pieces in the ratio of 3 : 5
: 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond?**

**Options:**

1) 11786

2) 60000

3) 67500

4) 75000

**Correct Answer: 67500**

**QID : 256 - The average weight of 100 students is 32 kg. The average
weight of first 49 students is 30 kg and of last 50 students is 34 kg. What is
the weight (in kg) of the 50th student?**

**Options:**

1) 25

2) 30

3) 32

4) 33

**Correct Answer: 30**

**QID : 257 - By selling 90 pens for Rs 80 a man loses 20%. What should be
the selling price (in Rs) of 90 pens for 20% profit?**

**Options:**

1) 90

2) 100

3) 110

4) 120

**Correct Answer: 120**

**QID : 258 - Raman spends 80% of his income. If his income is increased by
25% and the expenditure increase by 10%, then what will be the percentage
increase in his savings?**

**Options:**

1) 17

2) 70

3) 77

4) 85

**Correct Answer: 85**

**QID : 259 - A man makes four trips of equal distances. His speed on first
trip was 60 km/hr and in each subsequent trip his speed was half of the previous
trip. What is the average speed (in km/hr) of the man in these four trips?**

**Options:**

1) 16

2) 30

3) 28.125

4) 27.5

**Correct Answer: 16**

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**QID : 260 - Rohan borrowed a certain sum of money at simple interest. Rate
of interest was 3% per annum for first 3 years, 4% per annum for next 5 years
and 6% per annum for next 7 years. If he paid Rs 2059 as interest, then what is
the sum borrowed (in Rs)?**

**Options:**

1) 2400

2) 2500

3) 2900

4) 3100

**Correct Answer: 2900**

**QID : 261 - If x + y = 5, x ^{3} + y^{3} = 35, then what is
the positive difference between x and y?**

**Options:**

1) 0

2) 1

3) 5

4) 6

**Correct Answer: 1**

**QID : 262 - **

**Options:**

1) 0

2) 3√2

3) 3√3

4) 5√3

**Correct Answer: 5√3**

**QID : 263 - **

**Options:**

1) 0

2) xz

3) y

4) 3y

**Correct Answer: y**

**QID : 264 - **

**Options:**

1) ±√5

2) 2/5

3) ±2/√5

4) ±√5/2

**Correct Answer: ±2/√5**

**QID : 265 - PQ is a diameter of a circle with centre O. RS is a chord
parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and
QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?**

**Options:**

1) 55

2) 60

3) 70

4) 90

**Correct Answer: 70**

**QID : 266 - **

**Options:**

1) 40

2) 50

3) 60

4) 90

**Correct Answer: 50**

**QID : 267 - **

**Options:**

1) 9

2) 12

3) 18

4) 27

**Correct Answer: 27**

**QID : 268 - **

**Options:**

1) 3

2) 4.5

3) 6

4) 6.5

**Correct Answer: 6**

**QID : 269 - If cosec2 θ = 625/576, then what is the value of [(sin θ – cos
θ)/(sin θ + cos θ)]?**

**Options:**

1) 1

2) 31/17

3) 17/31

4) 14/25

**Correct Answer: 17/31**

**QID : 270 - **

**Options:**

1) 1/2

2) 5/2

3) 0

4) Both 1/2 and 5/2

**Correct Answer: Both 1/2 and 5/2**

**QID : 271 - If cot A = [sin B/(1 – cos B)], then what is the value of cot
2A?**

**Options:**

1) cot(B/2)

2) cot 2B

3) cot B

4) tan B

**Correct Answer: cot B**

**QID : 272 - **

**If the sales of company 1 in year 2015 was 50000 units, then what was its
production (in units) in year 2015?**

**Options:**

1) 38460

2) 45000

3) 52000

4) 65000

**Correct Answer: 65000**

**QID : 273 - **

**The production of company 2 in year 2012 is 30000. If sales of company 2
in year 2012 and 2013 is same, then what was its production (in units) in year
2013?**

**Options:**

1) 100000

2) 16000

3) 30000

4) 20000

**Correct Answer: 16000**

**QID : 274 - **

**The production of company 1 in year 2014 is 18000 and sales of company 2
in year 2012 is 15000. What is the ratio of difference in sales and production
of company 1 in year 2014 and company 2 in year 2012 ?**

**Options:**

1) 8 : 15

2) 7 : 16

3) 9 : 11

4) 3 : 8

**Correct Answer: 8 : 15**

**QID : 275 - **

**Company 1 sold 20000 bikes each year from 2011 to 2016 and company 2 sold
10000 bikes each year from 2011 to 2016. What is the difference (in units) in
average yearly production of company 1 and 2?**

**Options:**

1) 6733.33

2) 7500

3) 8666.66

4) 9333.33

**Correct Answer: 9333.33**

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