SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 03 February 2017" Evening Shift (Quantitative Aptitude)

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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 03 February 2017"

Evening Shift (Quantitative Aptitude)

QID : 251 - Two cars travel from city A to city B at a speed of 30 and 48 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is

Options:
1) 288 km
2) 240 km
3) 360 km
4) 192 km

Correct Answer: 240 km

QID : 252 - Simple interest on a certain sum of money for 3 years at 10% per annum is half the compound interest on Rs 6000 for 2 years at 10% per annum. The sum placed on simple interest is

Options:
1) Rs 4200
2) Rs 2100
3) Rs 1050
4) Rs 1680

Correct Answer: Rs 2100

QID : 253 - If 3 dupatta is offered free on purchase of 6 dupattas priced Rs 1200 each what is the effective discount on each dupatta?

Options:
1) 25 percent
2) 20 percent
3) 12.5 percent
4) 33.33 percent

Correct Answer: 33.33 percent

QID : 254 - HCF and LCM of two numbers are 11 and 825 respectively. If one number is 275 find the other number.

Options:
1) 53
2) 45
3) 33
4) 43

Correct Answer: 33

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QID : 255 - If cos 60° - sec 30° = x, then the value of x is

Options:
1) 1
2) (√3+√2)/2
3) (√3-4)/2√3
4) 1/√2

Correct Answer: (√3-4)/2√3

QID : 256 - If (1 - cosA)/2 = x, then the value of x is

Options:
1) cos2(A/2)
2) √sin(A/2)
3) √cos(A/2)
4) sin2(A/2)

Correct Answer: sin2(A/2)

QID : 257 - If Gaganjyot's salary is 7/6 times of Hafiz's and Sayed's is 8/7 times of Hafiz's, what is the ratio of Gaganjyot's salary to Sayed's.

Options:
1) 49:48
2) 3:4
3) 4:3
4) 48:49

Correct Answer: 49:48

QID : 258 - A shopkeeper by selling 20 Timex watches, earns a profit equal to the selling price of 4 Timex watches. His profit percentage is

Options:
1) 20 percent
2) 25 percent
3) 40 percent
4) 15 percent

Correct Answer: 25 percent

QID : 259 - If cosecA - cotA = x, then the value of x is

Options:
1) sinA/(1 - cosA)
2) √[sinA/(1 + cosA)]
3) sinA/(1 + cosA)
4) √[sinA/(1 - cosA)]

Correct Answer: sinA/(1 + cosA)

QID : 260 - If a cone of radius 10.5 cm and height 12 cm is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder?

Options:
1) 8 cm
2) 1.33 cm
3) 2 cm
4) 4 cm

Correct Answer: 4 cm

QID : 261 - In a class of 65 students there are 39 girls. The average weight of these girls is 60 Kg and average weight of the full class is 64 kgs. What is the average weight of the boys of the class?

Options:
1) 69
2) 66
3) 68
4) 70

Correct Answer: 70

QID : 262 - The length of the diagonal of a square is 14 cm. What is area of this square?

Options:
1) 49 sq cm
2) 196 sq cm
3) 98 sq cm
4) 77 sq cm

Correct Answer: 98 sq cm

QID : 263 - Find equation of the perpendicular to segment joining the points A(0,4) and B(-5,9) and passing through the point P. Point P divides segment AB in the ratio 2:3.

Options:
1) x - y = 8
2) x - y = -8
3) x + y = -8
4) x + y = 8

Correct Answer: x - y = -8

QID : 264 - A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation?

Options:
1) 206.25 percent
2) 67.35 percent
3) 33.67 percent
4) 103.13 percent

Correct Answer: 67.35 percent

QID : 265 - Painter A can paint a house in 40 days and Painter B can do it in 60 days. With help of C, they did the job in 20 days only. Then, C alone can do the job in

Options:
1) 120 days
2) 20 days
3) 225 days
4) 15 days

Correct Answer: 120 days

QID : 266 - Find the sum of the measures all the exterior angles of a decagon .

Options:
1) 720°
2) 2160°
3) 360°
4) 1800°

Correct Answer: 360°

QID : 267 - The diagonal of a square is 10√2 cm, find its perimeter?

Options:
1) 160 cm
2) 80 cm
3) 20 cm
4) 40 cm

Correct Answer: 40 cm

QID : 268 - Which of the following is correct?

Options:
1) (6x + y)(x - 6y) = 6x2 + 35xy - 6y2
2) (6x + y)(x - 6y) = 6x2 - 35xy - 6y2
3) (6x + y)(x - 6y) = 6x2 - 37xy - 6y2
4) (6x + y)(x - 6y) = 6x2 + 37xy - 6y2

Correct Answer: (6x + y)(x - 6y) = 6x2 - 35xy - 6y2

QID : 269 - If a - b = -5 and a2 + b2 = 73, then find ab.

Options:
1) 35
2) 14
3) 50
4) 24

Correct Answer: 24

QID : 270 - The sum of a non-zero number and ten times its reciprocal is 7. Find the number.

Options:
1) 4
2) 3
3) 5
4) 6

Correct Answer: 5

QID : 271 - If 2x + 2(4 + 3x) < 2 + 3x > 2x + x/2; then x can take which of the following values?

Options:
1) -3
2) 1
3) 0
4) -1

Correct Answer: -3

QID : 272 -

Options:
1) 678
2) 114
3) 67.8
4) 358

Correct Answer: 67.8

QID : 273 -

Options:
1) 3629
2) 1571
3) 4536
4) 2903

Correct Answer: 2903

QID : 274 -

Options:
1) 50 cm
2) 55 cm
3) 40 cm
4) 45 cm

Correct Answer: 45 cm

QID : 275 -

Options:
1) 0.8 hours
2) 0.3 hours
3) 0.7 hours
4) 1.3 hours

Correct Answer: 0.8 hours

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