# SSC CGL 2017 EXAM PAPER : Held on 21-AUG-2017 Shift-1 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 21-AUG-2017 Shift-1

**(Mathematics)**

**QID : 51 - What least number must be added to 329, so that the sum is
completely divisible by 7?**

**Options:**

1) 1

2) 0

3) 2

4) 3

**Correct Answer: 0**

**QID : 52 - A can do a work in 15 days and B in 30 days. If they work on it
together, then in how many days will they be able to do 50% of the work?**

**Options:**

1) 5

2) 6

3) 4

4) 3

**Correct Answer: 5 **

**QID : 53 - What is the area (in sq cm) of an equilateral triangle of side
10 cm?**

**Options:**

1) 25√3

2) 50√3

3) 75√3

4) 10√3

**Correct Answer: 25√3 **

**QID : 54 - What is the effective discount (in %) on two successive
discounts of 15% and 50%?**

**Options:**

1) 65

2) 57.5

3) 35

4) 42.5

**Correct Answer: 57.5 **

**QID : 55 - Profit of Rs 42,500 has to be divided between three partners A,
B and C in the ratio 3:5:9. How much (in Rs) does A get?**

**Options:**

1) 12500

2) 9500

3) 22500

4) 7500

**Correct Answer: 7500 **

**QID : 56 - The average weight of A, B and C is 49 kg. If the average
weight of A and B is 35 kg and that of B and C is 62 kg, then the weight of B
(in kgs) is?**

**Options:**

1) 47

2) 45

3) 43

4) 49

**Correct Answer: 47 **

**QID : 57 - A shopkeeper by selling 6 items, earns a profit equal to the
selling price of 1 item. What is his profit percentage?**

**Options:**

1) 20

2) 25

3) 30

4) 35

**Correct Answer: 20**

**QID : 58 - What is the value of 125% of 25% of 80?**

**Options:**

1) 50

2) 25

3) 20

4) 40

**Correct Answer: 25**

**QID : 59 - To cover a distance of 81 km in 1.5 hours what should be the
average speed of the car in meters/second?**

**Options:**

1) 10

2) 15

3) 12

4) 9

**Correct Answer: 15 **

**QID : 60 - In 4 years at simple interest the principal increases by 32%.
What will be the compound interest earned (in Rs) on Rs. 24,000 in 3 years at
the same rate?**

**Options:**

1) 5233

2) 6332

3) 5332

4) 6233

**Correct Answer: 6233 **

**QID : 61 - If 5/2(8x/3 - 1/2) + 13/2 = 2x/3, then what is the value of x?**

**Options:**

1) 7/8

2) 8/7

3) -8/7

4) -7/8

**Correct Answer: -7/8 **

**QID : 62 - If a ^{3} + b^{3} = 72 and ab = 8 , then what is
the value of a + b?**

**Options:**

1) 2

2) 5

3) 6

4) 3

**Correct Answer: 6**

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**QID : 63 - Sum of four times a fraction and 7 times its reciprocal is 16.
What is the fraction?**

**Options:**

1) 2/7

2) 7/2

3) 4/7

4) 7/4

**Correct Answer: 7/2 **

**QID : 64 - What is the sum of the first 11 terms of an arithmetic
progression if the 3rd term is -1 and the 8th term is 19?**

**Options:**

1) 204

2) 99

3) 225

4) 104

**Correct Answer: 99 **

**QID : 65 - What is the reflection of the point ( -3, 2) in the line x =
-2?**

**Options:**

1) ( -3 , -6)

2) (1 , 2)

3) ( -3 , 6)

4) (-1 , 2)

**Correct Answer: (-1 , 2)**

**QID : 66 - Point P is the midpoint of segment AB. Co-ordinates of P are (1
, 3) and A are (-3 , 8). What are the co-ordinates of point B?**

**Options:**

1) (-5 , -2)

2) (-5 , 2)

3) (5 , 2)

4) (5 , -2)

**Correct Answer: (5 , -2) **

**QID : 67 - What is the slope of the line perpendicular to the line passing
through the points (3 , -2) and (4 , 2)?**

**Options:**

1) 1/4

2) 4

3) -4

4) -1/4

**Correct Answer: -1/4 **

**QID : 68 - ΔABC is similar to ΔPQR. If ratio of perimeters of ΔABC and
ΔPQR is 3:7 and if PQ = 21 cm, then the length of AB (in cm) is?**

**Options:**

1) 6

2) 14

3) 9

4) 18

**Correct Answer: 9 **

**QID : 69 - What is the value of 2 Sec 45 ^{o} + Tan 30^{o}
?**

**Options:**

1) (2√6 + 1)/√3

2) √3

3) (2√2 + 3)/√6

4) (9 + 2√3)/9

**Correct Answer: (2√6 + 1)/√3 **

**QID : 70 - Δ ABC is right angled at B. If m∠A = 60°, then what is the
value of Cot C?**

**Options:**

1) √2

2) 1/√3

3) √3

4) 2/√3

**Correct Answer: √3 **

**QID : 71 - If Cosec θ = 25/7 , then what is the value of Cos θ? **

**Options:**

1) 25/24

2) 7/24

3) 24/25

4) 7/25

**Correct Answer: 24/25 **

**QID : 72 - **

**If Candidate A is disqualified then which candidate will be declared the
winner?**

**Options:**

1) E

2) B

3) F

4) D

**Correct Answer: F**

**QID : 73 - **

**The winning candidate got how many more votes than the one who came
second?**

**Options:**

1) 6000

2) 5000

3) 11000

4) 7000

**Correct Answer: 6000**

**QID : 74 - **

**Analysts believe that if candidate E had not stood in the fray then votes
that he got would have been equally divided between F and C, then what would
have been the result?**

**Options:**

1) A would have lost by 1000 votes

2) F would have won by 2000 votes

3) F would have lost by 2000 votes

4) A would have won by 1000 votes

**Correct Answer: F would have won by 2000 votes**

**QID : 75 - **

**If voting attendance was 60% then how many names must be there in the
voter list?**

**Options:**

1) 225000

2) 90000

3) 144000

4) 150000

**Correct Answer: 150000**

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