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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 24 January 2017" Evening Shift (Quantitative Aptitude)

QID : 251 - Of the 3 numbers whose average is 112, the first is 3/13 times the sum of other 2. The first number is _____.

Options:
1) 63

2) 95

3) 42

4) 126

Correct Answer: 63

QID : 252 - If a merchant offers a discount of 20% on the list price, then he makes a loss of 10%. What % profit or % loss will she make if he sells at a discount of 5% of the list price?

Options:
1) 6.875 percent profit

2) 20 percent profit

3) 14 percent profit

4) 30 percent loss

Correct Answer: 6.875 percent profit

QID : 253 - Coefficient of x in (x + 11)(3 - 5x) is _____.

Options:
1) 33

2) -5

3) 3

4) -52

Correct Answer: -52

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QID : 254 - A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

Options:
1) 75 days

2) 37.5 days

3) 17.5 days

4) 35 days

Correct Answer: 37.5 days

QID : 255 - What is the HCF (highest common factor) of 77 and 275?

Options:
1) 12

2) 11

3) 7

4) 25

Correct Answer: 11

QID : 256 - To travel 648 km, an Express train takes 12 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 6 hours less than Rajdhani. The speed of Rajdhani is _____.

Options:
1) 36 km/hr

2) 18 km/hr

3) 45 km/hr

4) 27 km/hr

Correct Answer: 27 km/hr

QID : 257 - A trader had 16 quintals of wheat. He sold a part of it at 17% profit and the rest at 27% profit, so that he made a total profit of 21%. How much wheat did he sell at 27% profit?

Options:
1) 960 kg

2) 640 kg

3) 320 kg

4) 1280 kg

Correct Answer: 640 kg

QID : 258 - The brother is elder to his sister by 6 years. Seven years ago the product of their ages was 72. What is the age of the brother?

Options:
1) 13 years

2) 12 years

3) 6 years

4) 19 years

Correct Answer: 19 years

QID : 259 - If Girish's salary is 4/9 times of Harishankar's and Shirish's salary is 5/6 times of Harishankar's, what is the ratio of Girish's salary to Shirish's.

Options:
1) 27:10

2) 10:27

3) 8:15

4) 15:8

Correct Answer: 8:15

QID : 260 - If 5 - x > 1 + 3x and 5 + 5x ≥ 2 + 2x; then x can take which of the following values?

Options:
1) 2

2) -2

3) 3

4) 0

Correct Answer: 0

QID : 261 - Find the value of p, if 2x - 4, 4x + p and 6x - 12 are in arithmetic progression.

Options:
1) -9

2) -10

3) -11

4) -8

Correct Answer: -8

QID : 262 - Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 16:25. Then the ratio of AP:PB is?

Options:
1) 4:5

2) 1:4

3) 5:1

4) 4:1

Correct Answer: 4:1

QID : 263 - Which of the following points lies on the line 3x - 4y = -13?

Options:
1) (-5,-7)

2) (5,7)

3) (-5,7)

4) (5,-7)

Correct Answer: (5,7)

QID : 264 - A man spends 59% of his income and saves the rest. What percentage of his expenditure does he save?

Options:
1) 72.57 percent

2) 83.19 percent

3) 89.09 percent

4) 69.49 percent

Correct Answer: 69.49 percent

QID : 265 - Line segment AB is parallel to line segment CD. AD intersects BC in E. If lengths of AE, BC and ED are 12 cm, 12 cm and 18 cm respectively, what is the length of EC?

Options:
1) 4.8 cm

2) 9.3 cm

3) 8.1 cm

4) 7.2 cm

Correct Answer: 7.2 cm

QID : 266 - In a triangle the length of the side opposite the angle which measures 60° is 15 cm, what is the length of the side opposite to the angle which measures 90°?

Options:
1) 15 cm

2) (15√3)/2 cm

3) 10√3 cm

4) 10 cm

Correct Answer: 10√3 cm

QID : 267 - A sum fetched a total simple interest of Rs 5320 at the rate of 7% per year in 5 years. What is the sum?

Options:
1) Rs 18240

2) Rs 12160

3) Rs 15200

4) Rs 9120

Correct Answer: Rs 15200

QID : 268 - Curved surface area of a cylinder is 660 sq cm. If circumference of its base is 44 cm, find the volume of the cylinder?

Options:
1) 4620 cubic cm

2) 2310 cubic cm

3) 6930 cubic cm

4) 1155 cubic cm

Correct Answer: 2310 cubic cm

QID : 269 - What is the value of cos 11π/6?

Options:
1) -1/√2

2) -√3/2

3) 2/√3