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SSC CGL 2017 EXAM PAPER : Held on 18-AUG-2017 Shift-3 (Mathematics)

SSC CGL 2017 EXAM PAPER : Held on 18-AUG-2017 Shift-3

(Mathematics)

QID : 251 - What will be the quotient when 2143 is divided by 38?

Options:

1) 56
2) 55
3) 57
4) 54

Correct Answer: 56

QID : 252 - A and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?

Options:

1) 60
2) 30
3) 45
4) 40

Correct Answer: 30

QID : 253 - What is the area (in sq cm) of a rectangle if its diagonal is 51 cm and one of its sides is 24 cm?

Options:

1) 540
2) 810
3) 1080
4) 360

Correct Answer: 1080

QID : 254 - A shopkeeper marks up his wares by 60% and offers 10% discount. What will be the selling price (in Rs) if the cost price is Rs 7500?

Options:

1) 11800
2) 12800
3) 13800
4) 10800

Correct Answer: 10800

QID : 255 - What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?

Options:

1) 10
2) 11
3) 9
4) 8

Correct Answer: 11

QID : 256 - A batsman makes a score of 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?

Options:

1) 35
2) 34
3) 33
4) 36

Correct Answer: 36

QID : 257 - A vendor buys 12 bananas for Rs 60 and sells 5 bananas for Rs 32. What will be his gain (in %)?

Options:

1) 28
2) 32
3) 24
4) 22

Correct Answer: 28

QID : 258 - Two labourers A and B are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, how much (in Rs) is B paid?

Options:

1) 400
2) 720
3) 500
4) 620

Correct Answer: 400

QID : 259 - A man travelled a distance of 99 km in 9 hours. He travelled partly on foot @ 9 km/hr and partly on bicycle @ 18 km/hr. What is distance (in kms) travelled on foot?

Options:

1) 36
2) 54
3) 63
4) 45

Correct Answer: 63

QID : 260 - The compound interest earned in two years at 15% per annum is Rs 20640. What is the sum invested (in Rs)?

Options:

1) 64000
2) 60000
3) 56000
4) 52000

Correct Answer: 64000

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QID : 261 - If 5x/2 - [7(6x - 3/2)]/4 = 5/8, then what is the value of x?

Options:

1) 1/4
2) -1/4
3) 4
4) -4

Correct Answer: 1/4

QID : 262 - If a³ - b³ = 91 and a - b = 1, then what is the value of ab?

Options:

1) 27
2) 6
3) 9
4) 30

Correct Answer: 30

QID : 263 - A fraction is greater than twice its reciprocal by 7/15. What is the fraction?

Options:

1) 3/5
2) 5/3
3) 3/4
4) 4/3

Correct Answer: 5/3

QID : 264 - What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?

Options:

1) 68
2) 156
3) 142
4) 242

Correct Answer: 68

QID : 265 - What is the reflection of the point (-3, 1) in the line x = -2?

Options:

1) (-1 , 1)
2) (-3 , -5)
3) (1 , 1)
4) (-3 , 5)

Correct Answer: (-1 , 1)

QID : 266 - The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?

Options:

1) (-2 , 5)
2) (2 , 5)
3) (-2 , -5)
4) (2 , -5)

Correct Answer: (-2 , 5)

QID : 267 - If ax - 4y = -6 has a slope of -3/2. What is the value of a?

Options:

1) 6
2) 3
3) -6
4) -3

Correct Answer: -6

QID : 268 - D and E are points on side AB and AC of ∆ABC. DE is parallel to BC. If AD:DB = 1:2 and area of ∆ABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

Options:

1) 20
2) 40
3) 15
4) 30

Correct Answer: 40

QID : 269 - What is the value of √2 Sec 45° + (1/√3)Tan 30°?

Options:

1) (1 + √3)/2
2) (1 + 3√2)/√3
3) 7/3
4) (3 + 2√2)/3√2

Correct Answer: 7/3

QID : 270 - Δ XYZ is right angled at Y. If m∠Z = 30°. What is the length of YZ (in cm), if ZX = 9 cm?

Options:

1) 6√3
2) 9√3/2
3) 3√3
4) 18

Correct Answer: 9√3/2

QID : 271 - If Cos θ = 15/17 , then what is the value of Cosec θ?

Options:

1) 17/8
2) 8/17
3) 8/15
4) 17/15

Correct Answer: 17/8

QID : 272 -

Which country produced the second least number of cars?

Options:

1) D
2) F
3) C
4) A

Correct Answer: F

QID : 273 -

Country E produced how many more cars (in %) than country B?

Options:

1) 10
2) 12.5
3) 11.11
4) 8

Correct Answer: 12.5

QID : 274 -

If 35% of the cars produced by these six countries are diesel and the rest are petrol, then how many petrol cars were produced (in millions)?

Options:

1) 1.755
2) 0.945
3) 2.7
4) 1.8

Correct Answer: 1.755

QID : 275 -

If on an average the cost price of a car is 30000 USD and environmental tax levied on each car is 2.5% of its cost price, how much environmental tax was collected (in billion USD) from production of cars in these 6 countries?

Options:

1) 1.03
2) 2.03
3) 3.03
4) 4.03

Correct Answer: 2.03