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

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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 cm3) 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, x3 + y3 = 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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