SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 2 February 2017"

Morning Shift (Mathematics)

QID : 51 - Which of the following is correct?

Options:

1) (4x - 5y)² = 16x² - 20xy + 25y²

2) (4x - 5y)² = 16x² + 40xy - 25y²

3) (4x - 5y)² = 16x² - 40xy + 25y²

4) (4x - 5y)² = 16x² - 20xy - 25y²

Correct Answer: (4x - 5y)² = 16x² - 40xy + 25y²

QID : 52 - If the radius of a circle is increased by 15% its area increases by .

Options:

1) 30 percent

2) 32.25 percent

3) 15 percent

4) 16.125 percent

Correct Answer: 32.25 percent

QID : 53 - Ticket for an adult is Rs 1600 and a child is Rs 600. 1 child goes free with two adults. If a group has 17 adults and 7 children what is the discount the group gets?

Options:

1) 13.37 percent

2) 26.02 percent

3) 24.41 percent

4) 32.2 percent

Correct Answer: 13.37 percent

QID : 54 - When 0.090909.....is converted into a fraction, then the result is

Options:

1) 1/33

2) 1/11

3) 2/33

4) 6/11

Correct Answer: 1/11

QID : 55 - The bus fare between two cities is increased in the ratio 5:11. Find the increase in the fare, if the original fare is Rs. 275.

Options:

1) Rs 605

2) Rs 121

3) Rs 330

4) Rs 242

Correct Answer: Rs 330

QID : 56 - The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 9% per annum is Rs 405. The sum is .

Options:

1) Rs 50000

2) Rs 100000

3) Rs 200000

4) Rs 150000

Correct Answer: Rs 50000

QID : 57 - Which of the following quadratic equations has real roots?

Options:

1) 4x² - 7x + 5 = 0

2) 5x² - 11x + 7 = 0

3) 5x² - 11x + 8 = 0

4) 2x² - 7x + 5 = 0

Correct Answer: 2x² - 7x + 5 = 0

QID : 58 - If 5x + 5 > 2 + 2x and 5x + 3 ≤ 4x + 5; then x can take which of the following values?

1) 3

2) -2

3) -3

4) 1

Correct Answer: 1

QID : 59 - The 4th term of an arithmetic progression is 15, 15th term is -29, find the 10th term?

Options:

1) -5

2) -13

3) -17

4) -9

Correct Answer: -9

QID : 60 - In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

Options:

1) 1:3

2) 3:2

3) 3:1

4) 2:3

Correct Answer: 3:1

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QID : 61 - A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is

Options:

1) 13/20

2) 1/3

3) 1/6

4) 2/9

Correct Answer: 13/20

QID : 62 - At what point does the line 4x - 3y = -6 intercept the y-axis?

Options:

1) (0,2)

2) (0,3/2)

3) (2,0)

4) (3/2,0)

Correct Answer: (0,2)

QID : 63 - In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of

Options:

1) 2.4 cm

2) 4.8 cm

3) 3.6 cm

4) 9.6 cm

Correct Answer: 9.6 cm

QID : 64 - The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.

1) 50.3

2) 49.6

3) 51

4) 52.4

Correct Answer: 51

QID : 65 - In a triangle the length of the side opposite the right angle is 9√3 cm, what is the length of the side opposite to the angle which measures 30 degree?

Options:

1) 9 cm

2) 3√3 cm

3) 6 cm

4) (9√3)/2 cm

Correct Answer: (9√3)/2 cm

QID : 66 - Two cars travel from city A to city B at a speed of 30 and 44 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

Options:

1) 330 km

2) 396 km

3) 495 km

4) 264 km

Correct Answer: 330 km

QID : 67 - Rajeev sells a machine for Rs 55 lakhs at a loss. Had he sold it for Rs 67 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

Options:

1) Rs 65 lakhs

2) Rs 57 lakhs

3) Rs 78 lakhs

4) Rs 49 lakhs

Correct Answer: Rs 57 lakhs

QID : 68 - Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, find the height of the cylinder?

Options:

1) 12 cm

2) 24 cm

3) 36 cm

4) 6 cm

Correct Answer: 12 cm

QID : 69 - What is the value of sin 5π/3?

1) √3/2

2) 2/√3

3) 1/√3

4) -2/√3

Correct Answer: √3/2

QID : 70 - cos3A is equal to

Options:

1) cos³A - 3sin²cosA

2) cos³A + 4sin²cosA

3) cos³A + 3sin²cosA

4) cos³A - 4sin²cosA

Correct Answer: cos³A + 3sin²cosA

QID : 71 - 2 sec²A is equal to

Options:

1) (1 - tanA)² - (1 + tanA)²

2) √[(1 - tanA)² + (1 + tanA)²]

3) √[(1 - tanA)² - (1 + tanA)²]

4) (1 - tanA)² + (1 + tanA)²

Correct Answer: (1 - tanA)² + (1 + tanA)²

QID : 72 -

Options:

1) Anita

2) Anjali

3) Anjalika

4) Anjana

Correct Answer: Anjalika

QID : 73 -

Options:

1) 472.5

2) 495

3) 517.5

4) 450

Correct Answer: 472.5

QID : 74 -

Options:

1) 1.74

2) 1.99

3) 1.24

4) 1.49

Correct Answer: 1.49

Options:

1) 300000 shares

2) 315000 shares

3) 330000 shares

4) 285000 shares

Correct Answer: 315000 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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