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SSC CGL 2017 EXAM PAPER : Held on 17-AUG-2017 Shift-3 (Mathematics)

SSC CGL 2017 EXAM PAPER : Held on 17-AUG-2017 Shift-3

(Mathematics)

QID : 251 - What least number must be added to 4131, so that the sum is completely divisible by 19?

Options:

1) 10
2) 11
3) 9
4) 12

Correct Answer: 11

QID : 252 - A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

Options:

1) 5
2) 6
3) 4
4) 3

Correct Answer: 4

QID : 253 - What is the area (in sq cm) of an equilateral triangle of side 14 cm?

Options:

1) 49√3
2) 98√3
3) (49/2)√3
4) (49/4)√3

Correct Answer: 49√3

QID : 254 - What is the effective discount (in %) on two successive discounts of 20% and 10%?

Options:

1) 30
2) 32
3) 35
4) 28

Correct Answer: 28

QID : 255 - Profit of Rs 1,03,500 has to be divided between three partners A, B and C in the ratio 11:7:5. How much amount (in Rs) does B get?

Options:

1) 22,500
2) 49,500
3) 50,500
4) 31,500

Correct Answer: 31,500

QID : 256 - The average weight of P, Q and R is 45 kg. If the average weight of P and Q be 36.5 kg and that of Q and R be 52 kg, then what is the weight (in kgs) of Q?

Options:

1) 42
2) 44
3) 46
4) 48

Correct Answer: 42

QID : 257 - A shopkeeper by selling 21 items earns a profit equal to the selling price of 1 item. What is his profit percentage?

Options:

1) 5.5
2) 2.2
3) 2
4) 5

Correct Answer: 5

QID : 258 - What is the value of 10% of 150% of 400?

Options:

1) 600
2) 50
3) 500
4) 60

Correct Answer: 60

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QID : 259 - To cover a distance of 144 km in 3.2 hours what should be the average speed of the car in meters/second?

Options:

1) 12.5
2) 10
3) 7.5
4) 15

Correct Answer: 12.5

QID : 260 - If in 2 years at simple interest the principal increases by 18%, what will be the compound interest (in Rs) earned on Rs 7000 in 3 years at the same rate?

Options:

1) 1865.2
2) 2065.2
3) 1965.2
4) 1765.2

Correct Answer: 2065.2

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

Options:

1) 10/9
2) -10/9
3) -9/10
4) 9/10

Correct Answer: 10/9

QID : 262 - If a³ + b³ = 19 and a + b = 1, then what is the value of ab?

Options:

1) 5
2) -6
3) 7
4) -9

Correct Answer: -6

QID : 263 - A fraction is greater than its reciprocal by (72)/(77). What is the fraction?

Options:

1) 7/11
2) 11/7
3) 4/7
4) 7/4

Correct Answer: 11/7

QID : 264 - What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?

Options:

1) 192
2) 230
3) 102
4) 214

Correct Answer: 102

QID : 265 - What is the reflection of the point (-2, 5) in the line x = -1?

Options:

1) (-2 , -7)
2) (0 , 5)
3) (2 , 5)
4) (-2 , 7)

Correct Answer: (0 , 5)

QID : 266 - Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?

Options:

1) (-1 , 7)
2) (1 , -7)
3) (1 , 6)
4) (-1 , -7)

Correct Answer: (1 , 6)

QID : 267 - What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

Options:

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

Correct Answer: -1/3

QID : 268 - ΔABC is similar to ΔPQR. If ratio of perimeter of ΔABC : perimeter of ΔPQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?

Options:

1) 15
2) 20
3) 25
4) 16

Correct Answer: 25

QID : 269 - What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

Options:

1) (√6 + 1)/√3
2) √3
3) (1 + 3√2)/√3
4) (3 + 2√2)/3√2

Correct Answer: (3 + 2√2)/3√2

QID : 270 - Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?

Options:

1) 2/√3
2) √3/2
3) 2/3
4) 1

Correct Answer: 1

QID : 271 - If Tan θ = 7/24, then what is the value of Sec θ?

Options:

1) 24/25
2) 24/7
3) 25/7
4) 25/24

Correct Answer: 25/24

QID : 272 -

Which airline sold the second highest number of tickets?

Options:

1) E
2) A
3) B
4) D

Correct Answer: E

QID : 273 -

Airline E sold how many more tickets than Airline A?

Options:

1) 25
2) 16
3) 20
4) 10

Correct Answer: 20

QID : 274 -

The ratio of tickets sold by Airlines A and D to tickets sold by Airline E is?

Options:

1) 3 : 4
2) 4 : 3
3) 2 : 3
4) 4 : 1

Correct Answer: 4 : 3

QID : 275 -

If the price of an airline ticket is Rs 7000 then by what amount, monthly Revenue (in Rs. Millions) from sale of tickets of Airline B is greater than that of Airline E?

Options:

1) 77
2) 7
3) 35
4) 42

Correct Answer: 35