# SSC CGL 2017 EXAM PAPER : Held on 21-AUG-2017 Shift-3 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 21-AUG-2017 Shift-3

(Mathematics)

**QID : 251 - What is the remainder when 2468 is divided by 37?**

**Options:**

1) 26

2) 36

3) 18

4) 14

**Correct Answer: 26**

**QID : 252 - A can do 75% of a job in 9 days and B can do half of the job
in 8 days. If they work on it together, then in how many days can they do half
of the job?**

**Options:**

1) 40/7

2) 24/7

3) 7/2

4) 9/2

**Correct Answer: 24/7 **

**QID : 253 - Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and
height is 8 cm. What is its breadth (in cm)?**

**Options:**

1) 12

2) 20

3) 24

4) 10

**Correct Answer: 10 **

**QID : 254 - At 20% discount the selling price of an article is Rs 2400,
what is the selling price (in Rs) if the discount is 32.5%?**

**Options:**

1) 2125

2) 2225

3) 2025

4) 2325

**Correct Answer: 2025 **

**QID : 255 - What is the fourth proportional to 24, 120 and 22?**

**Options:**

1) 110

2) 120

3) 100

4) 90

**Correct Answer: 110**

**QID : 256 - What is the average of all numbers between 8 and 74 which are
divisible by 7?**

**Options:**

1) 40

2) 41

3) 42

4) 43

**Correct Answer: 42**

**QID : 257 - A trader had 1200 kgs of rice. He sold a part of it at 5%
profit and the rest at 11% profit, so that he made a total profit of 7%. How
much (in kg) wheat did he sell at 5% profit?**

**Options:**

1) 900

2) 600

3) 400

4) 800

**Correct Answer: 800 **

**QID : 258 - 20% of a = b, then b% of 20 is the same as _________ of a.**

**Options:**

1) 8%

2) 40%

3) 4%

4) 80%

**Correct Answer: 4%**

**QID : 259 - After excluding stoppages, the speed of a bus is 60 kmph and
after including stoppages, it is 45 kmph. For how many minutes does the bus stop
per hour?**

**Options:**

1) 10

2) 9

3) 12

4) 15

**Correct Answer: 15 **

**QID : 260 - The simple and compound interest that can be earned in two
years at the same rate is Rs 1,000 and Rs 1,040 respectively. What is the rate
(percent per annum) of interest?**

**Options:**

1) 9

2) 10

3) 8

4) 11

**Correct Answer: 8 **

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**QID : 261 - If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?**

**Options:**

1) -23/2

2) 13/2

3) -13/2

4) 23/2

**Correct Answer: 23/2 **

**QID : 262 - If a - b = 2 and ab = 24, then what is the value of a ^{3}
- b^{3}?**

**Options:**

1) 280

2) 124

3) 140

4) 152

**Correct Answer: 152**

**QID : 263 - Sum of twice a fraction and its reciprocal is 17/6. What is
the fraction?**

**Options:**

1) 4/3

2) 5/4

3) 3/4

4) 4/5

**Correct Answer: 3/4 **

**QID : 264 - The 3rd and 7th term of an arithmetic progression are -9 and
11 respectively. What is the 15th term?**

**Options:**

1) 28

2) 87

3) 51

4) 17

**Correct Answer: 51 **

**QID : 265 - What is the reflection of the point (4, 7) in the line y = -1?**

**Options:**

1) (-6 , 7)

2) (-4 , -9)

3) (4 , -9)

4) (-6 , -7)

**Correct Answer: (4 , -9)**

**QID : 266 - What are the co-ordinates of the centroid of a triangle, whose
vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?**

**Options:**

1) (-1 , 3)

2) (1 , 3)

3) (1 , -3)

4) (-1 , -3)

**Correct Answer: (1 , 3) **

**QID : 267 - Slope of the line AB is -2/3. Co-ordinates of points A and B
are (x , -3) and (5 , 2) respectively. What is the value of x?**

**Options:**

1) 4

2) -14

3) 12.5

4) -4

**Correct Answer: 12.5 **

**QID : 268 - D and E are points on side AB and AC of ΔABC. DE is parallel
to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of
quadrilateral BDEC?**

**Options:**

1) 4 : 21

2) 4 : 25

3) 4 : 29

4) 4 : 9

**Correct Answer: 4 : 21 **

**QID : 269 - What is the value of Cot 60 ^{o} - Cos 45^{o}?**

**Options:**

1) (9 - 2√3)/9

2) (2√6 - 1)/√3

3) (1 - 2√3)/2

4) (√2 - √3)/√6

**Correct Answer: (√2 - √3)/√6 **

**QID : 270 - ∆ PQR is right angled at Q. If m∠R = 60°, what is the length
of PR (in cm), if RQ = 4√3 cm?**

**Options:**

1) 8

2) 4

3) 8/√3

4) 8√3

**Correct Answer: 8√3 **

**QID : 271 - If Tan θ = 9/40, then Sec θ = ?**

**Options:**

1) 40/41

2) 9/41

3) 41/40

4) 41/9

**Correct Answer: 41/40**

**QID : 272 - **

**Which taxi company has more taxis than A but less than D?**

**Options:**

1) B

2) C

3) F

4) E

**Correct Answer: C**

**QID : 273 - **

**If 30 taxis quit company B and joined company D then D will have how many
more taxis than C?**

**Options:**

1) 40

2) 30

3) 110

4) 70

**Correct Answer: 70 **

**QID : 274 - **

**Even if A and C decide to merge, still D will have how many more taxis (in
%) than the merged A and C entity?**

**Options:**

1) 15

2) 20

3) 10

4) 25

**Correct Answer: 25**

**QID : 275 - **

**If each taxi on an average runs 100 kms every day and if fuel cost is Rs 3
per km, then all these taxis spend how much (in Rs.) on fuel every day?**

**Options:**

1) 128000

2) 108000

3) 118000

4) 98000

**Correct Answer: 108000 **