# Exam Paper SSC CGL 2017 : Held on 16-08-2017 Mathematics (Shift-1)

Submitted by Staff on Thu, 01/11/2018 - 14:21

# Staff Selection Commission

## Exam Paper SSC CGL 2017 : Held on 16-08-2017 (Shift-1)

# (Mathematics)

**QID : 51 - Product of
three consecutive odd numbers is 1287. What is the largest of the three numbers?**

**Options:**

1) 9

2) 11

3) 13

4) 17

**Correct Answer: 13**

**QID : 52 - 45 men or 60
boys can do a piece of work in 20 days. How many days will 15 men and 20 boys
take to complete the work?**

**Options:**

1) 23

2) 45

3) 30

4) 25

**Correct Answer: 30**

**QID : 53 - How many
spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6
cm?**

**Options:**

1) 112

2) 108

3) 116

4) 104

**Correct Answer: 108**

**QID : 54 - The marked
price of a shirt is Rs 1280. If the shirt is being sold for Rs 900, then what is
the discount percentage?**

**Options:**

1) 31.31

2) 25.57

3) 29.68

4) 34.36

**Correct Answer: 29.68**

**QID : 55 - The ratio of
number of cans of orange, pineapple and mixed fruit juices kept in a store is 8
: 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed
fruit juices cans respectively, then what is the ratio of number of cans of
these juices in the remaining stock?**

**Options:**

1) 1 : 1 : 2

2) 6 : 6 : 13

3) 12 : 15 : 19

4) 4 : 9 : 13

**Correct Answer: 1 : 1 :
2**

**QID : 56 - The ratio of
number of boys and girls in a class is 2 : 3. The average weight of boys and
girls in the class is 18 kg and 21 kg respectively. What is the average weight
(in kgs) of all the boys and girls together**

**Options:**

1) 99/5

2) 101/5

3) 109/6

4) 96/5

**Correct Answer: 99/5**

**QID : 57 - A milk
merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5
litres of water in it. If he sells this mixture at the rate of Rs 42 per litre,
then what is the profit percentage for the dealer?**

**Options:**

1) 17.2

2) 14.4

3) 16.6

4) 15.5

**Correct Answer: 15.5**

**QID : 58 - If A is 6
times more than B, then by what percentage is B is less than A?**

**Options:**

1) 64.82

2) 83.33

3) 28.56

4) 85.71

**Correct Answer: 85.71**

**QID : 59 - A runner
starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer
starts from the same point at 8:30 am in the same direction with a speed of 10
km/hr. At what time of the day (in p.m.) will the second racer will overtake the
other runner?**

**Options:**

1) 8:00

2) 4:00

3) 6:30

4) 5:30

**Correct Answer: 6:30**

**QID : 60 - A sum
amounts to Rs 7727.104 at the rate of 12% per annum compounded annually after
three years. What is the value of principal (in Rs)?**

**Options:**

1) 5000

2) 5200

3) 5350

4) 5500

**Correct Answer: 5500**

**QID : 61 - When [x +
(1/x)] = 5, then what is the value of [x – (1/x)]?**

**Options:**

1) 11

2) ± √22

3) 21

4) ± √21

**Correct Answer: ± √21**

**QID : 62 - If x = (√2 +
1)/(√2 – 1), then what is the value of (x ^{5} +
x^{4} +
x^{2} +
x)/x^{3} ?**

**Options:**

1) 40

2) 37.5

3) 38

4) 20√2

**Correct Answer: 40**

**QID : 63 - If x = 5 –
2√6, then what is the value of √x +(1/√x)?**

**Options:**

1) 5

2) 2

3) 2√3

4) 2√2

**Correct Answer: 2√3**

**QID : 64 - If 27x +
27[x–(1/3)] = 972, then what is the value of x?**

**Options:**

1) 2

2) 3

3) 4

4) 5

**Correct Answer: 2**

**QID : 65 - The inradius
of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the
same triangle?**

**Options:**

1) 5

2) 10√3

3) 20

4) 20√3

**Correct Answer: 20**

**QID : 66 - The point of
intersection of all the angle bisector of a triangle is ______ of the triangle.**

**Options:**

1) Incenter

2) Circumcenter

3) Centroid

4) Orthocenter

**Correct Answer:
Incenter**

**QID : 67 - ABC is an
equilateral triangle and P is the orthocenter of the triangle, then what is the
value (in degrees) of ∠BPC?**

**Options:**

1) 90

2) 120

3) 135

4) 145

**Correct Answer: 120**

**QID : 68 - In a
triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of
triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?**

**Options:**

1) 150

2) 200

3) 210

4) 240

**Correct Answer: 150**

**QID : 69 - A boat is
sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of
elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds.
What is the time taken (in seconds) by the boat to reach the lighthouse from its
initial position?**

**Options:**

1) 10

2) 15

3) 20

4) 60

**Correct Answer: 15**

**QID : 70 - What is the
value of [sec θ/(sec θ – 1)] + [sec θ/(sec θ + 1)] ?**

**Options:**

1) 2 sin2 θ

2) 2(1 + tan2 θ)

3) 2 cosec2 θ

4) sin2 θ

**Correct Answer: 2 cosec ^{2} θ**

**QID : 71 - **

**Options:**

1) 3x

2) x

3) 4x

4) 2x or 1/(2x)

**Correct Answer: 2x or
1/(2x)**

**QID : 72 - **

**The runs scored by
Pujara against South Africa is more than runs scored against Bangladesh by what
percentage?**

**Options:**

1) 100

2) 150

3) 200

4) 250

**Correct Answer: 200**

**QID : 73 - **

**If Pujara has scored
1875 runs in total, then what is the difference in runs scored by Pujara against
South Africa and New Zealand?**

**Options:**

1) 150

2) 175

3) 200

4) 250

**Correct Answer: 150**

**QID : 74 - **

**What is the sectorial
angle (in degrees) made by the runs scored against Australia in the given pie
chart?**

**Options:**

1) 106.8

2) 109.6

3) 112.4

4) 115.2

**Correct Answer: 115.2**

**QID : 75 - **

**What should be the
least number of runs that Pujara must have scored in total (runs can only be
integers)?**

**Options:**

1) 25

2) 225

3) 375

4) 625

**Correct Answer: 25**

PLEASE NOTE:
Check Your Email After Subscribing and Click on **Activation Link
**to Confirm Subscription.

## Poll

- 1 of 280
- next ›

- 1 of 6
- next ›

- 1 of 34
- next ›