# SSC CGL 2017 EXAM PAPER : Held on 20-AUG-2017 Shift-1 (Mathematics)

## SSC CGL 2017 EXAM PAPER : Held on 20-AUG-2017 Shift-1

**(Mathematics)**

**QID : 51 - What least number must be added to 213, so that the sum is
completely divisible by 9?**

**Options:**

1) 3

2) 2

3) 1

4) 4

**Correct Answer: 3**

**QID : 52 - A can do a work in 12 days and B in 24 days. If they work on it
together for 4 days, then what fraction of work is left?**

**Options:**

1) 1/3

2) 1/2

3) 1/4

4) 1/5

**Correct Answer: 1/2**

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

**Options:**

1) 36√3

2) 9

3) 36

4) 9√3

**Correct Answer: 9√3**

**QID : 54 - What is the effective discount on two successive discounts of
20% and 25%? **

**Options:**

1) 45%

2) 40%

3) 50%

4) 60%

**Correct Answer: 40%**

**QID : 55 - Profit of Rs 12,400 has to be divided between three partners A,
B and C in the ratio 5:7:8. How much does B get (in Rs)?**

**Options:**

1) 4340

2) 3440

3) 3340

4) 4430

**Correct Answer: 4340**

**QID : 56 - The average weight of P, Q and R is 47 kg. If the average
weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the
weight of Q (in kgs)?**

**Options:**

1) 25

2) 21

3) 29

4) 33

**Correct Answer: 21**

**QID : 57 - A shopkeeper by selling 5 items, earns a profit equal to the
selling price of 1 item. What is his profit percentage?**

**Options:**

1) 20%

2) 25%

3) 16%

4) 22.5%

**Correct Answer: 25%**

**QID : 58 - What is the value of 20% of 500% of 50?**

**Options:**

1) 0.5

2) 5000

3) 500

4) 50

**Correct Answer: 50**

**QID : 59 - To cover a distance of 90 km in 2.5 hours what should be the
average speed of the car in meters/second? **

**Options:**

1) 10

2) 20

3) 30

4) 40

**Correct Answer: 10**

**QID : 60 - If in 3 years at simple interest the principal increases by
18%, what will be the compound interest (in Rs) earned on Rs. 25,000 in 3 years
at the same rate?**

**Options:**

1) 4775.4

2) 5774.4

3) 4557.4

4) 5575.4

**Correct Answer: 4775.4**

**QID : 61 - If 5x + 6(3-2x) = 4, then what is the value of x?**

**Options:**

1) 1

2) 3

3) 2

4) 4

**Correct Answer: 2**

**QID : 62 - If a + b = 1 and ab = -6, then what is the value of a ^{3}
+ b^{3}?**

**Options:**

1) 17

2) 15

3) 19

4) 13

**Correct Answer: 19**

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**QID : 63 - The sum of a non-zero number and twenty times its reciprocal is
9. What is the number?**

**Options:**

1) -5

2) 3

3) -3

4) 5

**Correct Answer: 5**

**QID : 64 - If the 3 ^{rd} and the 5^{th} term of an
arithmetic progression are 13 and 21, what is the 13^{th} term?**

**Options:**

1) 53

2) 49

3) 57

4) 61

**Correct Answer: 53**

**QID : 65 - What is the reflection of the point (3,-5) in the origin?**

**Options:**

1) (-3, -5)

2) (5,-3)

3) (-5,-3)

4) (-3, 5)

**Correct Answer: (-3, 5)**

**QID : 66 - Point P is the midpoint of segment AB. Co-ordinates of P are
(5, -1) and A are (2, -4). What are the co-ordinates of point B?**

**Options:**

1) (6, 4)

2) (8, 2)

3) (1,-2)

4) (-6, -2)

**Correct Answer: (8, 2)**

**QID : 67 - What is the slope of the line perpendicular to the line passing
through the points (-2, 3) and (2, 0)?**

**Options:**

1) 4/3

2) 3/4

3) -3/4

4) -4/3

**Correct Answer: 4/3**

**QID : 68 - ∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR
is 1:2 and if PQ = 10 cm then what is the length of AB (in cm)?**

**Options:**

1) 5

2) 20

3) 25

4) 15

**Correct Answer: 5**

**QID : 69 - What is the value of Sin 30° + Cos 30°?**

**Options:**

1) (√6 + 1)/√3

2) (√3 + 2)/√3

3) (1 + √3)/2

4) 5/√3

**Correct Answer: (1 + √3)/2**

**QID : 70 - ∆ ABC is right angled at B. If m∠A = 30°., then Sec C =?**

**Options:**

1) 1/2

2) 1/√2

3) 2

4) 1/√3

**Correct Answer: 2**

**QID : 71 - If Sin θ = 12/13, then what is the value of Cot θ?**

**Options:**

1) 13/12

2) 5/13

3) 5/12

4) 13/5

**Correct Answer: 5/12**

**QID : 72 - **

**What is the ratio of the population densities of country C to country D?**

**Options:**

1) 3 : 4

2) 4 : 3

3) 5 : 4

4) 4 : 5

**Correct Answer: 3 : 4**

**QID : 73 - **

**What is the difference in the average number of people living per 1,000 sq
km in countries E and F?**

**Options:**

1) 250

2) 4000

3) 400

4) 2500

**Correct Answer: 2500**

**QID : 74 - **

**Population density of country E is greater than population density of
country D by:**

**Options:**

1) 50%

2) 100%

3) 200%

4) 300%

**Correct Answer: 100%**

**QID : 75 - **

**If area of country B is 20,00,000 sq km, what is its population?**

**Options:**

1) 10000000

2) 2500000

3) 25000000

4) 1000000

**Correct Answer: 1000000**