SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 23 January 2017" Evening Shift (Quantitative Aptitude)

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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 23 January 2017" Evening Shift (Quantitative Aptitude)

QID : 251 ­ If (6 ­ 18x) ­ (x ­ 7) = 8, then the value of x is ...............

Options:

1) ­5/19

2) ­2/13

3) 2/13

4) 5/19

Correct Answer : 5/19

 

QID : 252 ­ If the shopkeeper sells an item at Rs 450 which is marked as Rs 600, then what is the discount he is offering?

Options:

1) 33.33 percent

2) 25 percent

3) 20 percent

4) 30 percent

Correct Answer : 25 percent

 

QID : 253 ­ Find the roots of the quadratic equation 27x2 + 57x ­ 14 = 0

Options:

1) ­2/9, 7/3

2) 2/9, ­7/3

3) 9/2, ­3/7

4) ­9/2, 3/7

Correct Answer : 2/9, ­7/3

 

QID : 254 ­ A bank offers 20% compound interest calculated on half year basis. A customer deposits Rs 9200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is

Options:

1) Rs 11776

2) Rs 2944

3) Rs 1472

4) Rs 5888

Correct Answer : Rs 5888

 

QID : 255 ­ Which of the following numbers is not a prime number?

Options:

1) 197

2) 313

3) 439

4) 391

Correct Answer : 391

 

QID : 256 ­ A carpenter can build a cupboard in 64 hours. After 16 hours he takes a break. What fraction of the cupboard is yet to be built?

Options:

1) 0.6

2) 0.75

3) 0.2

4) 0.8

Correct Answer : 0.75

 

QID : 257 ­ The bus fare between two cities is increased in the ratio 29:31. What is the increase in the fare, if the original fare is Rs 725

Options:

1) Rs 50

2) Rs 775

3) Rs 155

4) Rs 310

Correct Answer : Rs 50

 

QID : 258 ­ Two numbers are 35% and 40% 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) 7.69 percent

2) 5 percent

3) 8.33 percent

4) 12.5 percent

Correct Answer : 8.33 percent

 

QID : 259 ­ If 3x + 2 < 2x + 1 and x ­ 4 ≤ 2x ­ 1; then x can take which of the following values?

Options:

1) ­2

2) 0

3) 2

4) 4

Correct Answer : ­2

 

QID : 260 ­ Between 50 and 150 how many numbers are divisible by 7?

Options:

1) 15

2) 16

3) 17

4) 14

Correct Answer : 14

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QID : 261 ­ The distance between the points (11,­5) and (k,0) is 13. Find k.

Options:

1) k = 1 or 23

2) k = ­1 or 23

3) k = ­1 or ­23

4) k = 1 or ­23

Correct Answer : k = ­1 or 23

 

QID : 262 ­ What is the equation of the line which passes through the points (3,­2) and (5,3)?

Options:

1) 5x ­ 2y = ­19

2) 5x ­ 2y = 19

3) 5x + 2y = ­31

4) 5x + 2y = 31

Correct Answer : 5x ­ 2y = 19

 

QID : 263 ­ A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is over­taken?

Options:

1) 640 metres

2) 800 metres

3) 960 metres

4) 480 metres

Correct Answer : 800 metres

 

QID : 264 ­ In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

Options:

1) 4.8 cm

2) 9.8 cm

3) 7.8 cm

4) 7.2 cm

Correct Answer : 7.2 cm

 

QID : 265 ­ In a triangle, the length of the side opposite the angle which measures 45° is 16 cm, what is the length of the side opposite to the angle which measures 90°?

Options:

1) 8√3 cm

2) 16√2 cm

3) 8 cm

4) 16√3 cm

Correct Answer : 16√2 cm

 

QID : 266 ­ If the volume of a cylinder is 385 cubic cm and height is 10 cm, find its radius?

Options:

1) 7 cm

2) 10.5 cm

3) 3.5 cm

4) 1.75 cm

Correct Answer : 3.5 cm

 

QID : 267 ­ What is the value of sec 5π/4?

Options:

1) 1/√3

2) ­√2

3) ­√3

4) ­1

Correct Answer : ­√2

 

QID : 268 ­ 2sin[(C+D)/2].sin[(D­C)/2] is equal to

Options:

1) cosC + cosD

2) cosC ­ cosD

3) sinC ­ sinD

4) sinC + sinD

Correct Answer : cosC ­ cosD

 

QID : 269 ­ The total cost of a stove with cooker was Rs 13,125. The cooker was sold at a profit of 30% and the stove at a loss of 20%. If the sale price was the same in both the items, then the cost price of the cheaper item was

Options:

1) Rs 8125

2) Rs 5000

3) Rs 6562.5

4) Rs 6175

Correct Answer : Rs 5000

 

QID : 270 ­ cot2A + cos2A is equal to cot2A + cos2A

Options:

1) (cosecA ­ sinA)2(cosecA + sinA)

2) (cosecA + sinA)(cosecA ­ sinA)

3) (secA + sinA)(secA ­ sinA)

4) (secA ­ sinA)2(secA + sinA)

Correct Answer : (cosecA + sinA)(cosecA ­ sinA)

 

QID : 271 ­ The average revenues of 7 consecutive years of a company is Rs 71 lakhs. If the average of first 4 years is Rs 66 lakhs and that of last 4 years is Rs 78 lakhs. What is the revenue for the fourth year.

Options:

1) Rs 81 lakhs

2) Rs 77 lakhs

3) Rs 79 lakhs

4) Rs 75 lakhs

Correct Answer : Rs 79 lakhs

 

QID : 272 ­

Options:

1) Rs 855385

2) Rs 1120005

3) Rs 220000

4) Rs 352000

Correct Answer : Rs 855385

 

QID : 273 ­

Options:

1) 2012 & 2013

2) 2013 & 2015

3) 2011 & 2012

4) 2014 & 2015

Correct Answer : 2012 & 2013

 

QID : 274 ­

Options:

1) Loss of Rs 45 crores

2) Profit of Rs 55 crores

3) Profit of Rs 45 crores

4) Loss of Rs 55 crores

Correct Answer : Profit of Rs 45 crores

 

QID : 275 ­

Options:

1) 19.17 percent

2) 21.67 percent

3) 14.17 percent

4) 16.67 percent

Correct Answer : 16.67 percent

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