SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 29 January 2017" Evening Shift (Quantitative Aptitude)

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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 29 January 2017"

Evening Shift (Quantitative Aptitude)

QID : 251 ­ 20% discount is offered on an item. By applying a promo code the customer wins 15% cash back. What is the effective discount?

Options:

1) 30.8 percent

2) 30 percent

3) 12 percent

4) 32 percent

Correct Answer: 32 percent

QID : 252 ­ What is the HCF (highest common factor) of 57 and 513?

Options:

1) 10

2) 57

3) 3

4) 27

Correct Answer: 57

QID : 253 ­ Murad can do a piece of work in 33 hours. If he is joined by Joel who is 100% more efficient, in what time will they together finish the work?

Options:

1) 4 hours

2) 6 hours

3) 2 hours

4) 11 hours

Correct Answer: 11 hours

QID : 254 ­ Simplify 437bxaz / 23ab.

Options:

1) 17xzb

2) 9xz

3) 19xz

4) 19ab

Correct Answer: 19xz

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QID : 255 ­ Which of the following quadratic equations has equal roots?

Options:

1) x2 ­ 14x ­ 49 = 0

2) x2 + 7x + 49 = 0

3) x2 ­ 7x ­ 49 = 0

4) x2 + 14x + 49 = 0

Correct Answer: x2 + 14x + 49 = 0

QID : 256 ­ If 4 + 3x ≤ 6 + x and 3x + 5 > 2 + 2x; then x can take which of the following values?

Options:

1) 2

2) ­2

3) 4

4) ­4

Correct Answer: ­2

QID : 257 ­ The first and last terms of an arithmetic progression are 37 and ­18. If the sum of the series is 114, then it has how many terms?

Options:

1) 13

2) 12

3) 14

4) 15

Correct Answer: 12

QID : 258 ­ ΔABC is similar to ΔDEF. Length of AB is 12 cm and length of the corresponding side DE is 8 cm. What is the ratio of Perimeter of ΔABC : Perimeter of

ΔDEF?

Options:

1) 9:4

2) 4:9

3) 3:2

4) 2:3

Correct Answer: 3:2

QID : 259 ­ What is the slope of the line perpendicular to the line passing through the points (­4,5) and (3,­2)?

Options:

1) 2

2) 3/7

3) ­3/7

4) 1

Correct Answer: 1

QID : 260 ­ Find two numbers such that their mean proportion is 12 and third proportion is 768.

Options:

1) 3 and 24

2) 3 and 48

3) 6 and 48

4) 6 and 24

Correct Answer: 3 and 48

QID : 261 ­ In the first 43 overs of a cricket match, the run rate was 5 runs/over. Calculate the required run rate in the remaining 7 overs to reach the target of 285 runs?

Options:

1) 10.6

2) 11.2

3) 10

4) 9.4

Correct Answer: 10

QID : 262 ­ Find the sum of interior angles of a decagon?

1) 1620°

2) 2520°

3) 1800°

4) 1440°

Correct Answer: 1440°

QID : 263 ­ A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area of the circle?

Options:

1) 308 sq cm

2) 462 sq cm

3) 154 sq cm

4) 616 sq cm

Correct Answer: 154 sq cm

QID : 264 ­ The total surface area of a hemisphere is 41.58 sq cm, find its radius.

Options:

1) 4.2 cm

2) 0.7 cm

3) 1.05 cm

4) 2.1 cm

Correct Answer: 2.1 cm

QID : 265 ­ A man travels 800 km in partly by rail and partly by steamer. He spends 7 hours more time on steamer. If the velocity of the steamer is 20 km/hr and the velocity of rail is 55 km/hr, how much distance does he cover by steamer?

Options:

1) 316 km

2) 379 km

3) 474 km

4) 569 km

Correct Answer: 316 km

QID : 266 ­ If cot ­4π/3 = x, then the value of x is

Options:

1) ­1

2) ­1/√3

3) √3

4) 1

Correct Answer: ­1/√3

QID : 267 ­ If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 28090, and Rs 29775.4 respectively, what is the rate of interest?

Options:

1) 6 percent

2) 3 percent

3) 12 percent

4) 10 percent

Correct Answer: 6 percent

QID : 268 ­ If tan(A/2) = x, then the value of x is

Options:

1) √[(1 + cosA)/(1 ­ cosA)]

2) (1 ­ cosA)/(1 + cosA)

3) (1 + cosA)/(1 ­ cosA)

4) √[(1 ­ cosA)/(1 + cosA)]

Correct Answer: √[(1 ­ cosA)/(1 + cosA)]

QID : 269 ­ If tan2A / (secA ­ 1)2 = x, then the value of x is

Options:

1) (1+cosecA) / (1­cosecA)

2) (1+cosA)(1­cosA)

3) (1+cosA) / (1­cosA)

4) (1+cosecA)(1­cosecA)

Correct Answer: (1+cosA) / (1­cosA)

QID : 270 ­ The total cost of a washing machine with a toaster was Rs 10500. The toaster was sold at a profit of 22% and the washing machine at a loss of 12%. If the sale price was the same in both the items, then the cost price of the cheaper item was ...............

Options:

1) Rs 4100

2) Rs 3250

3) Rs 7100

4) Rs 4400

Correct Answer: Rs 4400

QID : 271 ­ The price of an article is cut by 24%, to restore to its original value, the new price must he increased by ...............

Options:

1) 24 percent

2) 19.35 percent

3) 30 percent

4) 31.58 percent

Correct Answer: 31.58 percent

QID : 272 ­

Options:

1) 7720005

2) 200000

3) 514667

4) 268000

Correct Answer: 514667

QID : 273 ­

Options:

1) 2011 & 2013

2) 2013 & 2015

3) 2011 & 2012

4) 2014 & 2011

Correct Answer: 2014 & 2011

QID : 274 ­

Options:

1) Loss of Rs 55 crores

2) Profit of Rs 65 crores

3) Profit of Rs 55 crores

4) Loss of Rs 65 crores

Correct Answer: Profit of Rs 55 crores

QID : 275 ­

1) 23.45 percent

2) 20.95 percent

3) 25.95 percent

4) 18.45 percent

Correct Answer: 20.95 percent

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