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

QID : 151 ­ If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 32448 and Rs 33745.92 respectively, what is the rate of interest?

Options:

1) 2 percent

2) 8 percent

3) 6 percent

4) 4 percent

Correct Answer: 4 percent

QID : 152 ­ If cot²A = x, then x is

Options:

1) 2cotA/(cot²A ­ 1)

2) (cot²A ­ 1)/2cotA

3) (cot²A + 1)/2cotA

4) 2cotA/(1 ­ cot²A)

Correct Answer: (cot²A ­ 1)/2cotA

QID : 153 ­ The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 6√3 sq cm, what is the area of the equilateral triangle?

Options:

1) 9√3 sq cm

2) 9 sq cm

3) 9√2 sq cm

4) 12 sq cm

Correct Answer: 9 sq cm

QID : 154 ­ What is the value of sec 30° + cot 30°?

Options:

1) (√6­1)/√2

2) √3+2

3) 5/√3

4) (√3­2√2)/√6

Correct Answer: 5/√3

QID : 155 ­ Find

(61 + 62 + 63 + ……… +110) = ?

Options:

1) 4275

2) 8550

3) 12825

4) 17100

Correct Answer: 4275

QID : 156 ­ Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)

Options:

1) 768 sq cms

2) 192 sq cms

3) 384 sq cms

4) 576 sq cms

Correct Answer: 384 sq cms

QID : 157 ­ The costs of daily ticket of local train is Rs 160 and Monthly Pass costs Rs 2912. If I buy the Monthly Pass and travel for 26 days in a month then I save?

Options:

1) 25 percent

2) 22 percent

3) 18 percent

4) 30 percent

Correct Answer: 30 percent

QID : 158 ­ Prahlad has done 1/3rd of a job in 30 days, Sarfaraz completes the rest of the job in 90 days. In how many days can they together do the job?

Options:

1) 27 days

2) 18 days

3) 54 days

4) 36 days

Correct Answer: 54 days

QID : 159 ­ If 2x ­ 3 ≤ 5 + x and 5 ­ x < 1 + 5x; then x can take which of the following values?

Options:

1) ­1

2) 1

3) 9

4) ­9

Correct Answer: 1

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QID : 160 ­ The price of an article is cut by 9%, to restore to its original value, the new price must be increased by

Options:

1) 9 percent

2) 8.83 percent

3) 9.89 percent

4) 6.25 percent

Correct Answer: 9.89 percent

QID : 161 ­ If 13A = 11B = 8C, find A : B : C

Options:

1) 143:104:88

2) 104:88:143

3) 88:104:143

4) 8:11:13

Correct Answer: 88:104:143

QID : 162 ­ A shopkeeper by selling 21 Nike shoes, earns a profit equal to the selling price of 5 Nike shoes. His profit percentage is

Options:

1) 31.25 percent

2) 23.8 percent

3) 47.6 percent

4) 16.35 percent

Correct Answer: 31.25 percent

QID : 163 ­ What is the perimeter of the sector whose central angle is 60° and radius of the circle is 21 cm?

Options:

1) 128 cm

2) 96 cm

3) 64 cm

4) 32 cm

Correct Answer: 64 cm

QID : 164 ­ Which of the following quadratic equations has real roots?

Options:

1) 3x² ­ 5x + 2 = 0

2) 3x² ­ 4x + 2 = 0

3) 4x² ­ 3x + 2 = 0

4) 5x² ­ 2x + 2 = 0

Correct Answer: 3x² ­ 5x + 2 = 0

QID : 165 ­ Which of the following is correct?

Options:

1) (3x ­ 2y)² = 9x² ­ 12xy + 4y²

2) (3x ­ 2y)² = 9x² ­ 6xy + 4y²

3) (3x + 2y)² = 9x² ­ 12xy + 4y²

4) (3x + 2y)² = 9x² ­ 6xy + 4y²

Correct Answer: (3x ­ 2y)² = 9x² ­ 12xy + 4y²

QID : 166 ­ The sum of the parallel sides of a trapezium is 12.4 cm. If the distance between the parallel sides is 3.5 cm, what is the area of this trapezium?

Options:

1) 43.4 sq cm

2) 86.8 sq cm

3) 130.2 sq cm

4) 21.7 sq cm

Correct Answer: 21.7 sq cm

QID : 167 ­ Of the four numbers whose average is 91, the first is 3/10 times the sum of other three. The first number is:

Options:

1) 126

2) 56

3) 168

4) 84

Correct Answer: 84

QID : 168 ­ If 4x + 3y = 11 and 3x + 2y = 8, then (x,y) is

Options:

1) 2, 0

2) 1, 6

3) 2, 1

4) 5, 6

Correct Answer: 2, 1

QID : 169 ­ What should be the average speed of a car to cover a distance of 189 km in 3.5 hours?

Options:

1) 15 m/s

2) 54 m/s

3) 27 m/s

4) 30 m/s

Correct Answer: 15 m/s

QID : 170 ­ If secA/(secA ­ 1) + secA/(secA + 1) = x, then x is

Options:

1) 2cosec²A

2) 2sec²A

3) 2cosecA

4) 2secA

Correct Answer: 2cosec²A

QID : 171 ­ What is the slope of the line perpendicular to the line passing through the points (­6,3) and (2,7)?

Options:

1) ­2

2) 2

3) 1/2

4) ­1/2

Correct Answer: ­2

QID : 172 ­

Options:

1) 13920004

2) 280000

3) 364000

4) 994286

Correct Answer: 994286

QID : 173 ­

1) 2011 & 2013

2) 2013 & 2015

3) 2011 & 2012

4) 2014 & 2015

Correct Answer: 2014 & 2015

QID : 174 ­

Options:

1) Loss of Rs 15 crores

2) Loss of Rs 5 crores

3) Profit of Rs 5 crores

4) Profit of Rs 15 crores

Correct Answer: Loss of Rs 5 crores

QID : 175 ­

1) 22.92 percent

2) 25.42 percent

3) 27.92 percent

4) 20.42 percent

Correct Answer: 22.92 percent

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