# 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**

**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**

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**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 a ^{3} + b^{3} = 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**

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