# SSC CGL 2017 EXAM PAPER : Held on 16-AUG-2017 Shift-1 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 16-AUG-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**

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**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**

**
Crash Course for SSC CGL (Tier-1) Exam**

**
Study Kit for SSC
CGL EXAM**

Courtesy : SSC