# 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 a ^{3}
+ b^{3}?**

**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**