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SSC CGL 21-AUG-2017 Shift-2 (Mathematics)

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SSC CGL 2017 EXAM PAPER : Held on 21-AUG-2017 Shift-2 (Mathematics)

QID : 151 - Select the correct option:

Convert decimal 99 to binary.

Options:

1) 1100101 2) 1101001 3) 11100011 4) 1100011

Correct Answer: 1100011

QID : 152 - Anil is twice as good as workman as Bimal and together they finish a piece of work in 9 days. In how many days will Anil alone finish the work?

Options:

1) 12.5 2) 11.5 3) 10.5 4) 13.5

Correct Answer: 13.5

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QID : 153 - What is the area (in sq cm) of a circle whose circumference is 22 cm?

Options:

1) 77 2) 38.5 3) 44 4) 88

Correct Answer: 38.5

QID : 154 - The cost price of an article is x. It is marked up by 150%. It is sold at Rs 600 after giving 40% discount. What is x (in Rs)?

Options:

1) 400 2) 666 3) 300 4) 444

Correct Answer: 400

QID : 155 - A bag has Rs.51.25 in the form of 2-rupee, 50-paise and 25-paise coins in the ratio of 3:5:7. What is the total number of 50-paise coins?

Options:

1) 15 2) 35 3) 25 4) 5

Correct Answer: 25

QID : 156 - In the first 40 overs of a 50 over innings, the run rate was 4.8 runs/over. What is the required run rate in the remaining 10 overs to reach the target of 241 runs?

Options:

1) 6.7 2) 6.5 3) 6.3 4) 4.9

Correct Answer: 4.9

QID : 157 - A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?

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Options:

1) 25 2) 20 3) 30 4) 15

Correct Answer: 30

QID : 158 - When a number is increased by 120, it becomes 130% of itself. What is the number?

Options:

1) 400 2) 520 3) 460 4) 580

Correct Answer: 400

QID : 159 - Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?

Options:

1) 36 2) 39 3) 42 4) 45

Correct Answer: 42

QID : 160 - The amount received at 10% per annum Compound interest after 3 yrs is Rs 5324.

What was the principal (in Rs)?

Options:

1) 4100 2) 4200 3) 4000 4) 4300

Correct Answer: 4000

QID : 161 - If 14/3 + (1/2)(x - 7/3) = -2x/3, then the value of x is?

Options:

1) -3 2) 3

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3) 6 4) -6

Correct Answer: -3

QID : 162 - If a + b = 10 and ab = 24, then what is the value of a3 + b3? Options:

1) 280 2) 152 3) 140 4) 72

Correct Answer: 280

QID : 163 - The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?

Options:

1) 3/4 2) 4/3 3) 5/4 4) 4/5

Correct Answer: 3/4

QID : 164 - The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

Options:

1) -29 2) -41 3) -47 4) -35

Correct Answer: -35

QID : 165 - What is the reflection of the point (6, -1) in the line y = 2?

Options:

1) (-2 , -1) 2) (-6 , 5) 3) (6 , 5) 4) (-2 , 1)

Correct Answer: (6 , 5)

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QID : 166 - Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?

Options:

1) -11 2) 11 3) 7 4) -7

Correct Answer: 11

QID : 167 - What is the equation of a line of slope 1/3 and y-intercept 5?

Options:

1) x - 3y = -15 2) x - 3y = 15 3) x + 3y = -15 4) x + 3y = 15

Correct Answer: x - 3y = -15

QID : 168 -ΔABC is right angled at B. BD is an altitude. AD = 3 cm and DC = 9 cm. What is the value of AB (in cm)?

Options:

1) 6 2) 5 3) 4.5 4) 5.5

Correct Answer: 6

QID : 169 - What is the value of Cot 60o - Sec 45o ? Options:

1) (√2- √3)/√6 2) (√3- 3√2)/3 3) (1 - 2√2)/2 4) (1 - √3)/2

Correct Answer: (√3- 3√2)/3

QID : 170 -ΔABC is right angled at B. If m∠A = 30o, what is the length of AB (in cm), if AC = 10 cm?

Options:

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1) 5 2) 5√3 3) 10√3 4) 10

Correct Answer: 5√3

QID : 171 - If Cotθ= 24/7, then Sinθ= ? Options:

1) 24/25 2) 8/25 3) 7/25 4) 9/25

Correct Answer: 7/25 QID : 172 -

Which wild life sanctuary has more tigers than D but less than F?

Options:

1) C 2) A

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3) E 4) B

Correct Answer: B QID : 173 -

What will be the total number of tigers left in the six sanctuaries, if 3 tigers are killed by poachers in sanctuary E and 9 tigers are added to sanctuary A?

Options:

1) 93 2) 96 3) 99 4) 95

Correct Answer: 96 QID : 174 -

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What is the ratio of tigers in sanctuaries E and F to that of tigers in sanctuaries D and C?

Options:

1) 3 : 7 2) 7 : 3 3) 5 : 2 4) 2 : 5

Correct Answer: 7 : 3 QID : 175 -

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If the total tiger population in these six sanctuaries had grown by 20% and 25% in the previous two decades, then what was the total tiger population in these six sanctuaries before 20 years?

Options:

1) 135 2) 150 3) 60 4) 45

Correct Answer: 60

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