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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 21 January 2017" Afternoon Shift (Quantitative Aptitude)

QID : 151 - Triangle ABC is right angled at B. BD is the altitude. AD is 8 cm and DC is 18 cm. Find length of BD?

Options:
1) 6 cm

2) 9 cm

3) 12 cm

4) 15 cm

Correct Answer: 12 cm

QID : 152 - Painter 'A' can paint a house in 50 days and 'B' can do it in 25 days. With help of 'C', they did the job in 10 days only. Then, 'C' alone can do the job in

Options:
1) 8 days

2) 16 days

3) 25 days

4) 15 days

Correct Answer: 25 days

QID : 153 - If 4 + 2x ≤ 6 + x and 2x + 5 < 2 + 4x; then x can take which of the following values?

Options:
1) 3

2) 1

3) 0

4) 2

Correct Answer: 2

QID : 154 - What are the roots of the quadratic equation 4x2 + 6x - 18 = 0?

Options:
1) 3, -3

2) 3, 6

3) 3/2, -3

4) 3, 3

Correct Answer: 3/2, -3

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QID : 155 - The price of an article is cut by 21%, to restore to its original value, the new price must be increased by

Options:
1) 21 percent

2) 26.58 percent

3) 17.36 percent

4) 26.25 percent

Correct Answer: 26.58 percent

QID : 156 - If Gafur's salary is 4/3 times of Haashim's and Satish's is 5/4 times of Haashim's, what is the ratio of Gafur's salary to Satish's?

Options:
1) 16:15
2) 3:5
3) 5:3
4) 15:16

Correct Answer: 16:15

QID : 157 - If cosecA/(cosecA - 1) + cosecA/(cosecA + 1) = x, then x is

Options:
1) 2cosec2A

2) 2cosecA

3) 2secA

4) 2sec2A

Correct Answer: 2sec2A

QID : 158 - Which of the following is correct?

Options:
1) (2x - y)² = 4x² - 4xy + y²

2) (2x - y)² = x² - 4xy + 4y²

3) (2x + y)² = x² - 4xy + 4y²

4) (2x + y)² = 4x² - 4xy + y²

Correct Answer: (2x - y)² = 4x² - 4xy + y²

QID : 159 - Of the 3 numbers whose average is 77, the first is 3/4 times the sum of other 2. The first number is

Options:
1) 148

2) 66

3) 99

4) 198

Correct Answer: 99

QID : 160 - If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 34992, and Rs 37791.36 respectively, what is the rate of interest?

Options:
1) 4 percent

2) 16 percent

3) 8 percent

4) 13 percent

Correct Answer: 8 percent

QID : 161 - Slope of the side DA of the rectangle ABCD is -3/4. What is the slope of the side AB?

Options:
1) -4/3

2) 3/4

3) -3/4

4) 4/3

Correct Answer: 4/3

QID : 162 - If cot 30° - cos 45° = x, then x is

Options:
1) √3+2

2) (√6-1)/√2

3) (√3-2√2)/√6

4) (1+√2)/2

Correct Answer: (√6-1)/√2

QID : 163 - The length of the diagonal of a rectangle is 10 cm and that of one side is 8 cm. What is the area of this rectangle?

Options:
1) 80 sq cm

2) 48 sq cm

3) 60 sq cm

4) 32 sq cm

Correct Answer: 48 sq cm

QID : 164 - The two numbers are 55 and 99, HCF is 11, What is their LCM?

Options:
1) 486

2) 479

3) 476

4) 495

Correct Answer: 495

QID : 165 - A dishonest milkman buys milk at Rs 25 per litre and adds 1/5 of water to it and sells the mixture at Rs 29 per litre. His gain is

Options:
1) 16 percent

2) 39.2 percent

3) 24 percent

4) 32 percent

Correct Answer: 39.2 percent

QID : 166 - If 9x - 6y = 15 and x + 6y = 15, then the value of x,y.

Options:
1) 3, 4

2) 3, 2

3) 4, 5

4) 5, 6

Correct Answer: 3, 2

QID : 167 - A cone of height 25 cm and diameter 21 cm is mounted on a hemisphere of the same diameter. Find the volume of the solid thus formed? (Take π = 22/7)

Options:
1) 3155 sq cms

2) 1533 sq cms

3) 3315 sq cms

4) 5313 sq cms

Correct Answer: 5313 sq cms

QID : 168 - To cover a distance of 297 km in 4.4 hours what should be the average speed of the car in meters/second?

Options:
1) 67.5 m/s

2) 33.75 m/s

3) 37.5 m/s

4) 18.75 m/s

Correct Answer: 18.75 m/s

QID : 169 - The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 36π sq cm?

Options:
1) 72 sq cm

2) 144 sq cm

3) 36 sq cm

4) 18 sq cm

Correct Answer: 144 sq cm

QID : 170 - Marked price of an item is Rs 100. On purchase of 2 items discount is 25%, on purchase of 4 items discount is 43%. Rajasi buys 6 items, what is the effective discount?

Options:
1) 37 percent

2) 26.25 percent

3) 9.6 percent

4) 24.6 percent

Correct Answer: 37 percent

QID : 171 - If tan2A = x, then x is

Options:
1) 2tanA/(1 - tan²A)

2) (1 - tan²A)/2tanA

3) 2tanA/(1 + tan²A)

4) (tan²A - 1)/2tanA

Correct Answer: 2tanA/(1 - tan²A)

QID : 172 -