# 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 a ^{3} - b^{3} = 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**

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