# Exam Paper SSC CGL 2017 : Held on 17-08-2017 Mathematics (Shift-1)

Submitted by Staff on Thu, 01/11/2018 - 16:06

# Staff Selection Commission

## Exam Paper SSC CGL 2017 : Held on 17-08-2017 (Shift-1)

# (Mathematics)

**QID : 51 - Select the
correct option:**

**Convert binary 1101111
to decimal.**

**Options:**

1) 111

2) 101

3) 110

4) 100

**Correct Answer: 111**

**QID : 52 - A can finish
a work in 18 days and B in 36 days. If they work on it together for 9 days, then
what percent of work is left?**

**Options:**

1) 33.3

2) 20

3) 75

4) 25

**Correct Answer: 25**

**QID : 53 - The diagonal
of a square is 12 cm what is the length (in cm) of its side?**

**Options:**

1) 6√2

2) 12√2

3) 6

4) 9

**Correct Answer: 6√2**

**QID : 54 - If on a Sale
there is 30% discount on the marked price of Rs 2500, but the sale is done at Rs
1400 only. What additional discount (in %) did the customer get?**

**Options:**

1) 10

2) 20

3) 15

4) 25

**Correct Answer: 20**

**QID : 55 - What is the
third proportional to 10 and 25?**

**Options:**

1) 125

2) 150

3) 62.5

4) 225

**Correct Answer: 62.5**

**QID : 56 - In a class
of 50 students there are 27 boys. The average weight of these boys is 72 Kg and
average weight of the full class is 55.44 kgs. What is the average weight (in
kgs) of the girls of the class?**

**Options:**

1) 42

2) 48

3) 30

4) 36

**Correct Answer: 36**

**QID : 57 - If a saree
is sold for Rs 1900 the seller will face 5% loss, at what price (in Rs) should
he sell the saree to gain 15% profit?**

**Options:**

1) 2200

2) 2400

3) 2500

4) 2300

**Correct Answer: 2300**

**QID : 58 - Pranita got
30 marks more in Math than what she got in Science. Her Math marks are 60% of
the sum of her Math and Science marks. What are her Science marks?**

**Options:**

1) 90

2) 150

3) 120

4) 60

**Correct Answer: 60**

**QID : 59 - To travel
432 km, an Express train takes 1 hour more than Duronto. If however, the speed
of the Express train is increased by 50%, it takes 2 hours less than Duronto.
What is the speed (in km/hr) of Duronto train?**

**Options:**

1) 60

2) 54

3) 48

4) 72

**Correct Answer: 54**

**QID : 60 - What is the
difference (in Rs) between the compound interests on Rs. 4000 for 1 year at 12%
per annum compounded yearly and half-yearly?**

**Options:**

1) 14.4

2) 12.4

3) 10.4

4) 16.4

**Correct Answer: 14.4**

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

**Options:**

1) -1

2) 1

3) 3

4) -3

**Correct Answer: -1**

**QID : 62 - If a + b = 4
and ab = 3, then what is the value of a ^{3} +
b^{3}?**

**Options:**

1) 21

2) 17

3) 28

4) 31

**Correct Answer: 28**

**QID : 63 - The sum of a
fraction and 7 times its reciprocal is 11/2. What is the fraction?**

**Options:**

1) 7/2

2) 2/7

3) 3/4

4) 4/3

**Correct Answer: 7/2**

**QID : 64 - The 3rd and
9th term of an arithmetic progression are -8 and 10 respectively. What is the
16th term?**

**Options:**

1) 34

2) 28

3) 25

4) 31

**Correct Answer: 31**

**QID : 65 - What is the
reflection of the point (1 , 2) in the line y = 3?**

**Options:**

1) (1, -4)

2) (1, 4)

3) (-1, -4)

4) (-1, 4)

**Correct Answer: (1, 4)**

**QID : 66 - Point A (2,
1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are
(4, y). What is the value of y?**

**Options:**

1) 8

2) -7

3) -8

4) 7

**Correct Answer: 7**

**QID : 67 - At what
point does the line 2x + 5y = -6 cuts the X-axis?**

**Options:**

1) (3, 0)

2) (0, 3)

3) (-3, 0)

4) (0, -3)

**Correct Answer: (-3, 0)**

**QID : 68 - ΔABC is
right angled at B. BD is an altitude. AD = 9 cm and DC = 16 cm. What is the
value of BD (in cm)?**

**Options:**

1) 6

2) 18

3) 21

4) 12

**Correct Answer: 12**

**QID : 69 - What is the
value of Tan 45° + 4/√3 Sec 60°?**

**Options:**

1) (√3 + 8)/√3

2) (√3 + 8)/3

3) (√3 - 8)/√3

4) (√3 - 8)/3

**Correct Answer: (√3 +
8)/√3**

**QID : 70 - Δ DEF is
right angled at E. If m ∠D = 30°. What is the length (in cm) of DE, if EF = 2√3
cm?**

**Options:**

1) 3

2) 4

3) 6

4) 2

**Correct Answer: 6**

**QID : 71 - If Sin θ =
20/29, then what is the value of Cos θ?**

**Options:**

1) 29/21

2) 21/29

3) 21/20

4) 20/29

**Correct Answer: 21/29**

**QID : 72 -**

**The company reported a
loss in which year?**

**Options:**

1) 2013

2) 2016

3) 2012

4) 2014

**Correct Answer: 2013**

QID : 73 -

**What is the cumulative
profits (in lakh Rs) earned by the company in the given six years?**

**Options:**

1) 80

2) 70

3) 90

4) 100

**Correct Answer: 70**

**QID : 74 -**

**By what value profit in
2012 was more (in %) than the profit of 2011?**

**Options:**

1) 10

2) 33.33

3) 50

4) 40

**Correct Answer: 50**

**QID : 75 -**

**If the profits are
added to the company's reserves and the reserves stood at Rs 150 lakhs at the
end of 2015, what were the reserves (in Rs. lakhs) in the beginning of 2012?**

**Options:**

1) 130

2) 90

3) 110

4) 40

**Correct Answer: 110**

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