# SSC CGL 2017 EXAM PAPER : Held on 08-AUG-2017 Shift-2 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 08-AUG-2017 Shift-2

## (Mathematics)

**QID : 151 - **What least value which should be added to 1812 to make it divisible by 7, 11 and 14?

**Options:**

1) 12

2) 36

3) 72

4) 154**Correct Answer:** 36

**QID : 152 -** A is 1.5 times efficient than B therefore takes 8 days less than B to complete a work. If A and B work on alternate days and A works on first day, then in how many days the work will be completed?

Options:

1) 17

2) 19

3) 19.5

4) 21**Correct Answer: **19

**QID : 153 **- One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

**Options:**

1) 3 : 10

2) 3 : 20

3) 7 : 20

4) 7 : 10**Correct Answer: **7 : 20

**QID : 154 -** A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit percent?

**Options:**

1) 20

2) 30

3) 35

4) 40**Correct Answer:** 20

**QID : 155 **- If A/3 = B/2 = C/5, then what is the value of ratio (C + A)^{2} : (A + B)^{2} : (B + C)^{2}?

**Options:**

1) 9 : 4 : 25

2) 25 : 4 : 9

3) 64 : 25 : 49

4) 49 : 25 : 64**Correct Answer: **64 : 25 : 49

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**QID : 156 - **5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?

**Options:**

1) 20

2) 24

3) 26

4) 22**Correct Answer:** 22

**QID : 157 **- The cost price of 60 articles is same as the selling price of x articles. If there is a profit of 20%, then what is the value of x?

**Options:**

1) 15

2) 30

3) 50

4) 80**Correct Answer**: 50

**QID : 158 **- A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is the maximum marks of the exam?

**Options:**

1) 300

2) 350

3) 400

4) 500**Correct Answer**: 400

**QID : 159 -** A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?

**Options:**

1) 6:20

2) 4:40

3) 6:00

4) 5:30**Correct Answer:** 4:40

**QID : 160 -** The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?

**Options:**

1) 200/7

2) 100/7

3) 300/7

4) 400/7

Correct Answer: 200/7

**QID : 161 **- If (x^{2}/yz) + (y^{2}/zx) + (z^{2}/xy) = 3, then what is the value of (x + y + z)^{3}?

**Options:**

1) 0

2) 1

3) 2

4) 3**Correct Answer:** 0

**QID : 162 -** If x^{1/4 }+ x^{-1/4} = 2, then what is the value of x^{81} + (1/x^{81})?

**Options:**

1) – 2

2) 0

3) 1

4) 2**Correct Answer: **2**QID : 163 -** If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a^{2} + b^{2} + c^{2})?

**Options:**

1) 75

2) 83

3) 217

4) 225**Correct Answer: **83**QID : 164 -** If x^{2} + (1/x^{2}) = 1, then what is the value of x^{48} + x^{42} + x^{36} + x^{30} + x^{24} + x^{18} + x^{12} + x^{6} + 1?

**Options:**

1) – 9

2) 0

3) 1

4) 9**Correct Answer:** 1**QID : 165 -**

**Options:**

1) 170

2) 182

3) 189

4) 191**Correct Answer: **189

**QID : 166 **-

**Options:**

1) 1 : 2

2) 1 : 1

3) 2 : 1

4) 1 : 3**Correct Answer:** 1 : 1

**QID : 167 -** Two chords of length 20 cm and 24 cm are drawn perpendicular to each other in a circle of radius is 15 cm. What is the distance between the Points of intersection of these chords (in cm) from the center of the circle?

**Options:**

1)

2)

3)

4)

**QID : 168 -**

**Options:**

1) 3

2) 7

3) 9

4) 15**Correct Answer:** 7

**QID : 169 -** What is the simplified value of sin^{2} (90 – θ) – [{sin(90 – θ)sin θ}/tan θ]?

**Options:**

1) 1

2) cosec θ

3) 0

4) cos θ**Correct Answer:** 0**QID : 170 -**

**Options:**

1) sin θ

2) 1 – sin 2θ

3) 1 + sin 2θ

4) 1 – sinθ**Correct Answer: **1 – sin 2θ

**QID : 171 -** If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?

**Options:**

1) 1

2) 2

3) 3

4) 4**Correct Answer:** 3

**QID : 172 -**

What is the difference (in crores) in population of the most and the least populated country?

**Options:**

1) 18

2) 32

3) 34

4) 36**Correct Answer:** 36

**QID : 173 -**

What is the total GDP (in crore dollars) of country 5?

**Options:**

1) 27120

2) 31640

3) 38280

4) 44660**Correct Answer:** 31640

**QID : 174 **-

What is the total GDP (in crore dollars) for the country with the third lowest per capita income?

**Options:**

1) 181900

2) 108460

3) 145200

4) 164560**Correct Answer: **164560

**QID : 175 -**

Which country has the highest total GDP?

**Options:**

1) Country 1

2) Country 2

3) Country 3

4) Country 8**Correct Answer:** Country 3

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