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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 22 January 2017" Morning Shift (Quantitative Aptitude)

QID : 51 - What is the value of sin 330°?

Options:
1) 2

2) 2/√3

3) √2

4) -1/2

Correct Answer: -1/2

QID : 52 - If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 22472, and Rs 23820.32 respectively, what is the rate of interest?

Options:
1) 3 percent

2) 6 percent

3) 12 percent

4) 10 percent

Correct Answer: 6 percent

QID : 53 - Reflection of the point (2,-4) in the origin is

Options:
1) (2,4)

2) (-2,-4)

3) (2,-4)

4) (-2,4)

Correct Answer: (-2,4)

QID : 54 - The measures of the three angles of a triangle are in the ratio 3:4:5. What is the measure of the biggest angle?

Options:
1) 75°

2) 60°

3) 45°

4) 30°

Correct Answer: 75°

QID : 55 - The third proportional of two numbers 24 and 36 is ?

Options:
1) 48

2) 54

3) 72

4) 108

Correct Answer: 54

QID : 56 - A vendor buys apples at the rate of 21 for Rs 7 and sells at the rate of 5 for Rs 2. What will be the result?

Options:
1) 20 percent loss

2) 20 percent gain

3) 16.66 percent gain

4) 16.6 percent loss

Correct Answer: 20 percent gain

QID : 57 - If 1/√(1 + cot²A) = x, then value of x is

Options:
1) sin A

2) cosec A

3) cos A

4) sec A

Correct Answer: sin A

QID : 58 - If 3x-5(x-1) > 2x - 1 < 2 + 4x; then x can take which of the following values?

Options:
1) -2

2) 2

3) 3

4) -1

Correct Answer: -1

QID : 59 - If x - y = -8 and xy = 45, then (x² + y²) is

Options:
1) 154

2) 64

3) 90

4) 26

Correct Answer: 154

QID : 60 - Area of _____ equals square of its side.

Options:
1) Rhombus

2) Cyclic quadrilateral

3) Rectangle

4) Square

Correct Answer: Square

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QID : 61 - Mahmood can do a piece of work in 40 hours. If he is joined by Janaki who is 50% more efficient, in what time will they together finish the work?

Options:
1) 2 hours

2) 6 hours

3) 16 hours

4) 3 hours

Correct Answer: 16 hours

QID : 62 - Product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

Options:
1) 83

2) 64

3) 46

4) 38

Correct Answer: 38

QID : 63 - A solid right circular cone of radius 10 cm and height 8 cm is put inside a cylindrical vessel of radius 11 cm and height 9 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?

Options:
1) 5168.96 cubic cms

2) 2584.48 cubic cms

3) 7753.44 cubic cms

4) 1292.24 cubic cms

Correct Answer: 2584.48 cubic cms

QID : 64 - If sinA/(1 + cosA) = x, then x is

Options:
1) cosecA + cotA

2) secA - cotA

3) secA + cotA

4) cosecA - cotA

Correct Answer: cosecA - cotA

QID : 65 - To cover a distance of 252 km in 2.5 hours what should be the average speed of the car in meters/second?

Options:
1) 100.8 m/s

2) 50.4 m/s

3) 28 m/s

4) 56 m/s

Correct Answer: 28 m/s

QID : 66 - In a class of 39 students there are 36 girls. The average weight of these girls is 38 Kg and average weight of the full class is 40 kgs. What is the average weight of the boys of the class?

Options:
1) 42

2) 64

3) 20

4) 62

Correct Answer: 64

QID : 67 - Marked price of an item is Rs 300. On purchase of 2 items discount is 24%, on purchase of 5 items discount is 38%. Rachna buys 7 items, what is the effective discount?

Options:
1) 17.5 percent

2) 20.4 percent

3) 34 percent

4) 12.8 percent

Correct Answer: 34 percent

QID : 68 - Factorise 24x² - 54x - 15

Options:
1) 3(2x + 5)(4x - 1)

2) 3(2x - 5)(4x + 1)

3) 2(3x - 5)(4x + 1)

4) 4(2x - 5)(3x + 1)

Correct Answer: 3(2x - 5)(4x + 1)

QID : 69 - Two numbers are 40% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

Options:
1) 16.67 percent

2) 20 percent

3) 10 percent

4) 25 percent

Correct Answer: 20 percent

QID : 70 - The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

Options:
1) -3

2) -2

3) 4

4) 5

Correct Answer: -3

QID : 71 - The sum of all prime numbers between 18 and 32 is:

Options:
1) 99

2) 100

3) 102

4) 97

Correct Answer: 102

QID : 72 -