SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 27 January 2017"

Afternoon Shift (Quantitative Aptitude)

QID : 151 ­ If 2(5x ­4) ­ 2 < 2x ­ 1 < 4x ­2; then the value of x is

Options:

1) 1

2) 0

3) ­1

4) 2

Correct Answer: 1

QID : 152 ­ Expand and simplify (2x + 5)²*(4x ­ 1) ­ (3x³ ­ 16x² + 25x ­ 21)

1) 13x³ + 92x² ­ 55x + 4

2) 13x³ ­ 92x² ­ 55x ­ 4

3) 13x³ + 92x² + 55x ­ 4

4) 13x³ ­ 92x² + 55x + 4

Correct Answer: 13x³ + 92x² + 55x ­ 4

QID : 153 ­ A cylindrical vessel of radius 8 cm is partially filled with water. By how much will the water level rise if a sphere of radius 7 cm is completely immersed in this water?

Options:

1) 7.15 cm

2) 14.3 cm

3) 21.45 cm

4) 28.6 cm

Correct Answer: 7.15 cm

QID : 154 ­ If a ­ b = 6 and ab =16, then a³ ­ b³ is

Options:

1) 504

2) 702

3) 728

4) 511

Correct Answer: 504

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QID : 155 ­ Jaikishen can do a piece of work in 15 hours. If he is joined by Jhanvi who is 50% more efficient, in what time will they together finish the work?

Options:

1) 6 hours

2) 12 hours

3) 3 hours

4) 9 hours

Correct Answer: 6 hours

QID : 156 ­ When a number is increased by 34, it becomes 117% of itself. What is the number?

1) 408

2) 200

3) 510

4) 306

Correct Answer: 200

QID : 157 ­ What are the co­ordinates of the mid point of the segment joining points C(0,­3) and D(8,5)?

Options:

1) (4, 1)

2) (­4, ­1)

3) (­4, 1)

4) (4, ­1)

Correct Answer: (4, 1)

QID : 158 ­ The line passing through (­1,x) and (3,0) is perpendicular to the line passing through (5,2) and (4,4). What is the value of x?

Options:

1) 2

2) 4

3) ­2

4) ­4

Correct Answer: ­2

QID : 159 ­ An angle is smaller than its supplementary angle by 70°. What is the measure of the angle?

Options:

1) 125°

2) 55°

3) 80°

4) 10°

Correct Answer: 55°

QID : 160 ­ The effective annual rate of interest corresponding to a nominal rate of 7% per annum payable half­yearly is

Options:

1) 14 percent

2) 14.25 percent

3) 7 percent

4) 7.12 percent

Correct Answer: 7.12 percent

QID : 161 ­ Two fractions are such that their product is ­9/10 and sum is ­13/40. What are the two fractions.

Options:

1) 2/5, ­9/4

2) 1/5, ­9/2

3) 4/5, ­9/8

4) ­2/5, ­9/4

Correct Answer: 4/5, ­9/8

QID : 162 ­ When a discount of 50% is given on a shirt, the profit is 25%. If the discount is 10%, then the profit is

Options:

1) 35 percent

2) 55 percent

3) 215 percent

4) 125 percent

Correct Answer: 125 percent

QID : 163 ­ In the first 36 overs of a cricket match, the run rate was 4.3 runs/over. Calculate the required run rate in the remaining 14 overs to reach the target of 271 runs?

Options:

1) 8.9

2) 9.5

3) 8.3

4) 7.7

Correct Answer: 8.3

QID : 164 ­ Profit of Rs 187200 has to be divided among three partners Amit, Brijmohan and Chiranjeev in the ratio 1:2:5. How much does Chiranjeev get?

Options:

1) Rs. 46800

2) Rs. 23400

3) Rs. 117000

4) Rs. 58500

Correct Answer: Rs. 117000

QID : 165 ­ To travel 732 km, an Express train takes 6 hours more than Rajdhani. If the speed of the Express train is doubled, it takes 3 hours less than Rajdhani. The speed of Rajdhani is

Options:

1) 81.3 km/hr

2) 61 km/hr

3) 40.7 km/hr

4) 101.7 km/hr

Correct Answer: 61 km/hr

QID : 166 ­ In a rhombus  ..............

Options:

1) Adjacent sides are not equal

2) Opposite angles are supplementary

3) Diagonals bisect opposite angles

4) Consecutive angles are equal

Correct Answer: Diagonals bisect opposite angles

QID : 167 ­ If sin ­240° = x, then the value of x is

Options:

1) ­2/√3

2) √2

3) 2

4) √3/2

Correct Answer: √3/2

QID : 168 ­ The simplest form of 3774/2958 is

Options:

1) 43/19

2) 37/29

3) 31/13

4) 31/23

Correct Answer: 37/29

QID : 169 ­ If 1 shirt is offered free on purchase of 3 shirts priced Rs 500 each, then what is the effective discount on each shirt?

Options:

1) 30 percent

2) 33 percent

3) 20 percent

4) 25 percent

Correct Answer: 25 percent

QID : 170 ­ If √(1+tan²A) = x, then the value of x is

Options:

1) sinA

2) cosecA

3) secA

4) cosA

Correct Answer: secA

QID : 171 ­ What is the value of 2sec²A?

Options:

1) secA/(cosecA ­1) + secA/(cosecA +1)

2) cosecA/(secA ­1) + cosecA/(secA +1)

3) cosecA/(cosecA ­1) + cosecA/(cosecA +1)

4) secA/(secA ­1) + secA/(secA +1)

Correct Answer: cosecA/(cosecA ­1) + cosecA/(cosecA +1)

QID : 172 ­

Options:

1) 778

2) 129

3) 275

4) 77.8

Correct Answer: 77.8

QID : 173 ­

Options:

1) 1571

2) 4429

3) 5314

4) 3690

Correct Answer: 5314

QID : 174 ­

Options:

1) 70 cms

2) 65 cms

3) 60 cms

4) 75 cms

Correct Answer: 65 cms

QID : 175 ­

Options:

1) 4.9 hours

2) 5.9 hours

3) 6.4 hours

4) 6.9 hours

Correct Answer: 6.4 hours

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