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

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

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?

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

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

Options:

1) -3
2) 3
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)

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

Options:

1) 5
2) 5√3
3) 10√3
4) 10

Correct Answer: 5√3

QID : 171 - If Cot θ = 24/7, then Sin θ = ?

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
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 -

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 -

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