# SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 19 January 2017" Morning Shift (Quantitative Aptitude)

## SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 19 January 2017" Morning Shift (Quantitative Aptitude)

**QID : 51 If (cosecA 1)/(cosecA + 1) = x, then the value of x is**

Options:

1) (sinA/(1 + cosA))^{2}

2) cosA/(1 + sinA)

3) (cosA/(1 + sinA))^{2}

4) sinA/(1 + cosA)

Correct Answer: (cosA/(1 + sinA))^{2}

**QID : 52 Product of 6ab, 3b and 4a is**

Options:

1) 72a2b2

2) 144ab

3) 72ab

4) 144a2b2

Correct Answer: 72a2b2

**QID : 53 An octahedron has 6 vertices. How many edges does it have?**

Options:

1) 8

2) 12

3) 6

4) 10

Correct Answer: 12

## Printed Study Kit for SSC CHSL (10+2) Exam

## एसएससी - सीएचएसएल परीक्षा अध्ययन सामग्री

**QID : 54 By increasing the price of entry ticket to a fair in the ratio 5:7, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?**

Options:

1) increased in the ratio 55:63

2) decreased in the ratio 63:55

3) increased in the ratio 45:77

4) decreased in the ratio 77:45

Correct Answer: increased in the ratio 55:63

**QID : 55 The largest 5 digit number exactly divisible by 84 is:**

Options:

1) 99960

2) 99955

3) 99952

4) 99956

Correct Answer: 99960

**QID : 56 If 3x + 2 ≥ x 1 and 2x 4 ≤ 2 x/3; then x can take which of the following values?**

Options:

1) 2

2) 3

3) 5

4) 1

Correct Answer: 1

**QID : 57 What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?**

Options:

1) 12 cm

2) 9 cm

3) 6 cm

4) 15 cm

Correct Answer: 6 cm

**QID : 58 If cot π/3c tan π/4c = x, then the value of x is**

Options:

1) √3+2

2) (1√3)/√3

3) (1√2)/√2

4) (√3+4)/2√3

Correct Answer: (1√3)/√3

**QID : 59 The effective annual rate of interest corresponding to a nominal rate of 19% per annum payable halfyearly is:**

Options:

1) 38 percent

2) 19.9 percent

3) 39.81 percent

4) 19 percent

Correct Answer: 19.9 percent

**QID : 60 In the first 38 overs of a cricket match, the run rate was 4.5 runs/over. Calculate the required run rate in the remaining 12 overs to reach the target of**

288 runs?

Options:

1) 10.35

2) 10.95

3) 9.75

4) 9.15

Correct Answer: 9.75

**QID : 61 The sum of the ages of husband and wife at present is 56. Ten years ago the product of their ages was 320. What is the age of the husband and the wife?**

Options:

1) 28, 28

2) 32, 24

3) 30, 26

4) 29, 27

Correct Answer: 30, 26

**QID : 62 If 27% of an electricity bill is deducted, Rs 1825 is still to be paid. How much was the bill?**

Options:

1) Rs 1437

2) Rs 2536

3) Rs 2500

4) Rs 1473

Correct Answer: Rs 2500

**QID : 63 If secA = x, then the value of x is**

Options:

1) √(1 cot^{2}A)

2) √(1 tan^{2}A)

3) √(1 + cot^{2}A)

4) √(1 + tan^{2}A)

Correct Answer: √(1 + tan^{2}A)

**QID : 64 The costs of daily ticket of local train is Rs 130 and Monthly Pass costs Rs 3091.40. If I buy the Monthly Pass and travel for 29 days in a month than I save (in percentage)?**

Options:

1) 16 percent

2) 18 percent

3) 15 percent

4) 14 percent

Correct Answer: 18 percent

**QID : 65 A vendor buys some lemons at the rate of 11 for Rs 10 and sells at the rate of 4 for Rs 5. What will be the result?**

Options:

1) 37.5 percent loss

2) 27.27 percent gain

3) 37.5 percent gain

4) 27.2 percent loss

Correct Answer: 37.5 percent gain

**QID : 66 If 7x 5y = 13 and 2x y = 5, then (x y) is**

Options:

1) 3

2) 4

3) 5

4) 1

Correct Answer: 1

**QID : 67 The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?**

Options:

1) 18√3 sq cm

2) 9√3 sq cm

3) 18√2 sq cm

4) 9√2 sq cm

Correct Answer: 18√3 sq cm

**QID : 68 A thief is stopped by a policeman from a distance of 350 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/h and that of police man as 12 km/h, how far the thief would have run, before he is overtaken?**

Options:

1) 490 metres

2) 392 metres

3) 588 metres

4) 294 metres

Correct Answer: 490 metres

**QID : 69 Painter 'A' can paint a house in 10 days and 'B' can do it in 20 days. With help of 'C', they did the job in 5 days only. Then, 'C' alone can do the job in:**

Options:

1) 20 days

2) 10 days

3) 40 days

4) 50 days

Correct Answer: 20 days

**QID : 70 What is the slope of the line parallel to the line passing through the points (4,6) and (2,3)?**

Options:

1) 1/2

2) 2

3) 2

4) 1/2

Correct Answer: 1/2

**QID : 71 The total surface area of a cuboid is 376 sq cm. Find its volume if its length and breadth are 10 cm and 8 cm respectively?**

Options:

1) 960 cubic cms

2) 240 cubic cms

3) 480 cubic cms

4) 720 cubic cms

Correct Answer: 480 cubic cms

**QID : 72 **

Options:

1) 562.4

2) 145

3) 56.24

4) 241

Correct Answer: 56.24

**QID : 73 **

Options:

1) 573

2) 636

3) 1364

4) 707

Correct Answer: 573

**QID : 74 **

Options:

1) 55 cms

2) 50 cms

3) 45 cms

4) 40 cms

Correct Answer: 45 cms

**QID : 75 **

Options:

1) 3.1 hours

2) 1.1 hours

3) 1.6 hours

4) 2.1 hours

Correct Answer: 1.6 hours