# SSC CGL 2017 EXAM PAPER : Held on 18-AUG-2017 Shift-1 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 18-AUG-2017 Shift-1

## (Mathematics)

**QID : 51 - What is the remainder when 6729 is divided by 35?**

**Options:**

1) 11

2) 7

3) 19

4) 13

**Correct Answer: 19**

**QID : 52 - A, B and C can finish a job working alone in 72, 24 and 36 days
respectively. In how many days they can finish the job if they worked together?**

**Options:**

1) 12

2) 9

3) 15

4) 18

**Correct Answer: 12**

**QID : 53 - Area of 4 walls of a cuboid is 448 sq cm, its length is 18 cm
and height is 8 cm. What is its breadth (in cm)?**

**Options:**

1) 10

2) 9

3) 8

4) 7

**Correct Answer: 10**

**QID : 54 - At 10% discount the selling price of an article is Rs 4500,
what is the selling price (in Rs) if the discount is 27.5%?**

**Options:**

1) 4000

2) 3625

3) 3500

4) 3125

**Correct Answer: 3625**

**QID : 55 - What is the fourth proportional to 72, 168 and 150?**

**Options:**

1) 450

2) 300

3) 350

4) 400

**Correct Answer: 350**

**QID : 56 - What is the average of all numbers between 11 and 80 which are
divisible by 6?**

**Options:**

1) 46

2) 47

3) 44

4) 45

**Correct Answer: 45**

**QID : 57 - A trader had 960 kgs of rice. He sold a part of it at 20%
profit and the rest at 8% profit, so that he made a total profit of 12%. How
much rice (in kgs) did he sell at 8% profit?**

**Options:**

1) 460

2) 560

3) 540

4) 640

**Correct Answer: 640**

**QID : 58 - If 40% of x = y, then y% of 40 is same as _____ of x.**

**Options:**

1) 16%

2) 4%

3) 8%

4) 160%

**Correct Answer: 16%**

**QID : 59 - Excluding stoppages, the speed of a bus is 72 kmph and
including stoppages, it is 60 kmph. For how many minutes does the bus stop per
hour?**

**Options:**

1) 12

2) 8

3) 15

4) 10

**Correct Answer: 10**

**QID : 60 - The simple and compound interest that can be earned in two
years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (%
per annum) of interest?**

**Options:**

1) 8

2) 10

3) 12

4) 5

**Correct Answer: 10**

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**QID : 61 - If [7(5x/3 - 3/2)]/2 + 3/2 = 1/4, then what is the value of x?**

**Options:**

1) 35/24

2) 24/35

3) -24/35

4) -35/24

**Correct Answer: 24/35**

**QID : 62 - If a ^{3} + b^{3} = 19 and ab = -6 , then what
is the value of a + b?**

**Options:**

1) 5

2) 7

3) 1

4) -5

**Correct Answer: 1**

**QID : 63 - Sum of four times a fraction and 6 times its reciprocal is 11.
What is the fraction?**

**Options:**

1) 3/4

2) 4/3

3) 4/7

4) 7/4

**Correct Answer: 3/4**

**QID : 64 - What is the sum of the first 12 terms of an arithmetic
progression if the 3rd term is -13 and the 6th term is -4?**

**Options:**

1) 67

2) 45

3) -30

4) -48

**Correct Answer: -30**

**QID : 65 - What is the reflection of the point (5, 2) in the line x = -3?**

**Options:**

1) (-11 ,2)

2) (-11 ,-2)

3) (11 ,-2)

4) (11 ,2)

**Correct Answer: (-11 ,2)**

**QID : 66 - What are the co-ordinates of the centroid of a triangle, whose
vertices are A(1, -5), B(4, 0) and C(-2, 2)?**

**Options:**

1) (1 , -1)

2) (-1 , 1)

3) (2 , -2)

4) (-2 , 2)

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

**QID : 67 - Slope of the line AB is -4/3. Co-ordinates of points A and B
are (x, -5) and (-5, 3) respectively. What is the value of x?**

**Options:**

1) -1

2) 2

3) -2

4) 1

**Correct Answer: 1**

**QID : 68 - D and E are points on side AB and AC of ΔABC. DE is parallel to
BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of
ΔADE: area of quadrilateral BDEC?**

**Options:**

1) (4:45)

2) (45:4)

3) (8:45)

4) (45:8)

**Correct Answer: (4:45)**

**QID : 69 - What is the value of √2 Sec 45 ^{o} - Tan 30^{o}?**

**Options:**

1) (2√3 - 1)/3

2) (√3 - 1)/√3

3) (2√3 - 1)/√3

4) (√3 - 1)/3

**Correct Answer: (2√3 - 1)/√3**

**QID : 70 - ΔABC is right angled at B. If m ∠A = 60°, then what is the
value of 1/√3 Cosec C?**

**Options:**

1) 2/√3

2) 2/3

3) √2/√3

4) √2/3

**Correct Answer: 2/√3**

**QID : 71 - If Cosec θ = 25/7 , then what is the value of Cot θ?**

**Options:**

1) 24/25

2) 7/24

3) 7/25

4) 24/7

**Correct Answer: 24/7**

**QID : 72 - **

**In which country inflation in 2016 was lower than that of the previous
year?**

**Options:**

1) C

2) A

3) B

4) D

**Correct Answer: C**

**QID : 73 - **

**By what percent inflation in 2016 was greater than the inflation in 2015
in country D?**

**Options:**

1) 60

2) 100

3) 150

4) 120

**Correct Answer: 150**

**QID : 74 - **

**In the year 2015, what is the ratio of inflation in country C to country
A?**

**Options:**

1) 1 : 2

2) 2 : 3

3) 3 : 2

4) 2 : 1

**Correct Answer: 2 : 1**

**QID : 75 - **

**If inflation is measured as increase in price index and the price index
was 200 in the beginning of 2015 in country D then what is the index at the end
of 2016?**

**Options:**

1) 207

2) 207.2

3) 210

4) 214.2

**Correct Answer: 214.2**

##
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