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SSC CGL 2017 EXAM PAPER : Held on 10-AUG-2017 Shift-2 (Mathematics)

SSC CGL 2017 EXAM PAPER : Held on 10-AUG-2017 Shift-2

(Mathematics)

QID : 151 - How many numbers are there between 1 to 200 which are divisible by 3 but not by 7?

Options:
1) 38
2) 45
3) 57
4) 66
Correct Answer: 57

QID : 152 - 10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?

Options:
1) 4 : 6 : 3

2) 4 : 5 : 3

3) 2 : 4 : 3

4) 4 : 8 : 3

Correct Answer: 4 : 8 : 3

QID : 153 - The ratio of the volume of two cylinders is 7 : 3 and the ratio of their heights is 7 : 9. If the area of the base of the second cylinder is 154cm², then what will be the radius (in cm) of the first cylinder?

Options:

1) 6√2
2) 6√3
3) 7√2
4) 7√3
Correct Answer: 7√3

QID : 154 - Kanchan bought a clock with 25% discount on marked price. She sold it with 75% gain on the price she bought. What was her profit percentage on the marked price?

Options:
1) 31.25
2) 50
3) 56.25
4) 60
Correct Answer: 31.25

QID : 155 - A, B and C received an amount of Rs 8400 and distributed among themselves in the ratio of 6 : 8 : 7 respectively. If they save in the ratio of 3 : 2 : 4 respectively and B saves Rs 400, then what is the ratio of the expenditures of A, B and C respectively?

Options:
1) 6 : 8 : 7
2) 8 : 6 : 7
3) 9 : 14 : 10
4) 12 : 7 : 9
Correct Answer: 9 : 14 : 10

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QID : 156 - The average age of 24 students is 12 years. It was observed that while calculating the average age, the age of a student was taken as 14 years instead of 8 years. What will be the correct average age (in years)?

Options:
1) 11.25
2) 11.5
3) 11.75
4) 12.25
Correct Answer: 11.75

QID : 157 - 70% of the cost price of a article is equal to the 40% of its selling price. What is the profit or loss percentage?

Options:
1) 63% loss
2) 70% loss
3) 75% profit
4) 80% profit
Correct Answer: 75% profit

QID : 158 - a% of b + b% of a = ______

Options:
1) 2a% of b
2) 2a% of 2b
3) 2a% of 2a
4) 2b% of 2b
Correct Answer: 2a% of b

QID : 159 - If I walk at 7/6 of my usual speed, then I reach my office 15 minutes early. What is the usual time taken (in minutes) by me to reach the office?

Options:
1) 60
2) 75
3) 90
4) 105
Correct Answer: 105

QID : 160 - A person lent Rs 10000 to B for 3 years and Rs 6000 to C for 4 years on simple interest at same rate of interest and received Rs 5400 in all from both of them as interest. What is the rate of interest (in %)?

Options:
1) 10
2) 12.5
3) 15
4) 20
Correct Answer: 10

QID : 161 -If x³ + 2x² – 5x + k is divisible by x + 1, then what is the value of k?

Options:
1) – 6
2) – 1
3) 0
4) 6
Correct Answer: – 6

QID : 162 - If 3x + [1/(5x)] = 7, then what is the value of 5x/(15x² + 15x + 1)?

Options:

1) 1/5
2) 1/10
3) 2/5
4) 10
Correct Answer: 1/10

QID : 163 - If x + [1/(4x)] = 5/2, then what is the value of (64x⁶ + 1)/8x³?

Options:
1) 110
2) 115
3) 125
4) 140
Correct Answer: 110

QID : 164 - If x² + x = 19, then what is the value of (x + 5)² + [1/(x + 5)²]?

Options:
1) 77
2) 79
3) 81
4) 83
Correct Answer: 79

QID : 165 - In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 cm2. What is the area (in cm2) of triangle FGE?

Options:
1) 13
2) 26
3) 39
4) 52
Correct Answer: 13

QID : 166 - In triangle ABC, ∠ABC = 15^o .D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

Options:
1) 15
2) 30
3) 45
4) 60
Correct Answer: 30

QID : 167 - The length of diagonal of a square is 9√2 cm. The square is reshaped to form a triangle. What is the area (in cm2) of largest incircle that can be formed in that triangle?

Options:
1) 6π
2) 9π
3) 12π
4) 15π
Correct Answer: 12π

QID : 168 - The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

Options:
1) 7/2
2) 7
3) 7√2
4) 14
Correct Answer: 7

QID : 169 - What is the simplified value of sec⁴ θ – sec² θ tan² θ?

options:
1) cosec² θ

2) sec² θ

3) cot² θ

4) sec θ tan θ

Correct Answer: sec2 θ

QID : 170 - What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

Options:
1) 1

2) – 1

3) 0

4) 2

Correct Answer: – 1

QID : 171 - If (1/cos θ) – (1/cot θ) = 1/P, then what is the value of cos θ?

Options:
1) (P + 1)/(P – 1)
2) (P² + 1)/2P

3) 2(P² + 1)/P

4) 2P/(P² + 1)

Correct Answer: 2P/(P2 + 1)

QID : 172 -

ssc cgl logo
What is the surplus (in '000 quintals) of country A of years 2013 and 2014 taken together?

Options:
1) 122

2) 131

3) 143

4) 158

Correct Answer: 131

QID : 173 -

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What is the stock (in '000 quintals) of country C at end of the 4 year period?

Options:
1) 5926

2) 6213

3) 6826

4) 8844

Correct Answer: 6826

QID : 174 -

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What is the difference (in '000 quintals) in average production and average sales respectively of country C in the given four years?

Options:
1) – 252.25

2) – 415.50

3) 350.75

4) 275.25

Correct Answer: – 252.25

QID : 175 -

ssc cgl logo
What can be said about total surplus of country B and country D over the 4 years?

Options:
1) Surplus of B = Surplus of D
2) Surplus of D > Surplus of B
3) Surplus of B > Surplus of D
4) No relation is there
Correct Answer: Surplus of D > Surplus of B