SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 08 February 2017"

Morning Shift (Quantitative Aptitude)

QID : 51 - When a number is increased by 24, it becomes 110% of itself. What is the number?

Options:

1) 288

2) 360

3) 216

4) 240

Correct Answer: 240

QID : 52 - Reduce  3596 / 4292 to lowest  terms.

Options:

1) 29/37

2) 17/43

3) 31/37

4) 19/23

Correct Answer: 31/37

QID : 53 - A does 60% of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone  would take to do the whole work?

Options:

1) 25 days

2) 20 days

3) 80 days

4) 24 days

Correct Answer: 25 days

QID : 54 - If cot 60° + cosec 60° = x, then the value of x is

Options:

1) (1-2√2)/√2

2) (√3-4)/2√3

3) 1

4) √3

Correct Answer: √3

QID : 55 - Two cars  travel from city A to city B at a speed of 42 and 60 km/hr  respectively. If one car takes  2 hours  lesser time than the other car for the journey, then the distance between City A and City B is:

Options:

1) 336 km

2) 280 km

3) 420 km

4) 224 km

Correct Answer: 280 km

QID : 56 - If √[(1 - cosA)/2] = x, then the value of x is

Options:

1) cos(A/2)

2) tan(A/2)

3) sin(A/2)

4) cot(A/2)

Correct Answer: sin(A/2)

QID : 57 - If 1 + secA = x, then the value of x is

Options:

1) sinAtanA/(1 + cosA)

2) √[sinAtanA/(1 - cosA)]

3) sinAtanA/(1 - cosA)

4) √[sinAtanA/(1 + cosA)]

Correct Answer: sinAtanA/(1 - cosA)

QID : 58 - A cone  of radius  7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius  3.5 cm. What will be the height of water in this vessel?

Options:

1) 16 cm

2) 32 cm

3) 5.33 cm

4) 8 cm

Correct Answer: 16 cm

QID : 59 - What is the length of the side of an equilateral triangle, if its area is 64√3 sq cm?

Options:

1) 8 cm

2) 16 cm

3) 16√3 cm

4) 8√3 cm

Correct Answer: 16 cm

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QID : 60 - A vendor buys pens at the rate of 4 for Rs 5 and sells at the rate of 4 for Rs 3. What will be the result?

Options:

1) 40 percent gain

2) 66.6 percent loss

3) 66.66 percent gain

4) 40 percent loss

Correct Answer: 40 percent loss

QID : 61 - Simple interest on a certain  sum of money for 3 years  at 18% per annum is half the compound interest on Rs. 9000 for 2 years  at 10% per annum. The sum placed on simple  interest is:

Options:

1) Rs 3500

2) Rs 875

3) Rs 1750

4) Rs 1400

Correct Answer: Rs 1750

QID : 62 - Find k, if the line 4x - y = 1 is perpendicular to the line 5x - ky = 2?

Options:

1) 20

2) -20

3) 4

4) -4

Correct Answer: -20

QID : 63 - The mean of marks secured  by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions  of Class  X.

Options:

1) 53.7

2) 54.4

3) 53

4) 55.8

Correct Answer: 54.4

QID : 64 - Find length of the arc whose central  angle is 90° and radius  of the circle is 3.5 cm?

Options:

1) 11 cm

2) 5.5 cm

3) 16.5 cm

4) 22 cm

Correct Answer: 5.5 cm

QID : 65 - The ratio of present ages of Ratnabali and Shaukat is 8:5. After 22 years  the ratio of their ages will be 10:9. At present, what is Ratnabali's age?

Options:

1) 5

2) 14

3) 81

4) 8

Correct Answer: 8

QID : 66 - The area of an equilateral triangle is 9√3 sq cm, find height of the triangle?

Options:

1) 6 cm

2) 6√3 cm

3) 3√3 cm

4) 9 cm

Correct Answer: 3√3 cm

QID : 67 - Ticket for an adult is Rs 2200 and a child is Rs 990. One child goes free with two adults. If a group has  23 adults and 11 children, what is the discount the group gets?

Options:

1) 17.71 percent

2) 32.30 percent

3) 26.47 percent

4) 25.77 percent

Correct Answer: 17.71 percent

QID : 68 - If (8 - 10x) - (13x - 2) = -9, then the value of x is

Options:

1) -19/23

2) 19/23

3) -1/23

4) 1/23

Correct Answer: 19/23

QID : 69 - If xy = -18 and x²  + y²  = 85, then find the value of (x + y).

Options:

1) 8

2) 10

3) 9

4) 7

Correct Answer: 7

QID : 70 - A number is greater than twice its reciprocal by 31/4. Find the number.

Options:

1) 7

2) 8

3) 9

4) 6

Correct Answer: 8

QID : 71 - If 2x -3(x + 2) < 5 - 2x < -x + 2, then find the value of x.

Options:

1) 2

2) 0

3) 10

4) 12

Correct Answer: 10

QID : 72

​

Options:

1) Ahilya

2) Aishwarya

3) Akanksha

4) Alisha

Correct Answer: Ahilya

QID : 73 -

Options:

1) 367.5

2) 385

3) 402.5

4) 350

Correct Answer: 367.5

QID : 74 -

Options:

1) 1.79

2) 1.54

3) 2.04

4) 1.29

Correct Answer: 1.54

QID : 75 -

Options:

1) 60000  shares

2) 75000  shares

3) 90000  shares

4) 45000  shares

Correct Answer: 75000  shares

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

Study Material for Junior Engineer (Civil / Electrical / Mechanical Engineering) Examination

Study Kit for SSC CGL EXAM

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