SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 20 January 2017" Evening Shift (Quantitative Aptitude)

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SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 20 January 2017" Evening Shift (Quantitative Aptitude)

QID : 251 ­ The price of an article is cut by 31%, to restore to its original value, the new price must be increased by

Options:

1) 66 percent

2) 44.93 percent

3) 39.76 percent

4) 82.5 percent

Correct Answer: 44.93 percent

QID : 252 ­ If cot 240° = x, then the value of x is

Options:

1) ­1

2) ­1/√3

3) 1/√3

4) ­√3

Correct Answer: 1/√3

QID : 253 ­ Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

Options:

1) 25

2) 50

3) 30

4) 75

Correct Answer: 50

QID : 254 ­ Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 396, then what is the difference between the first and the third number?

Options:

1) 594

2) 448

3) 432

4) 453

Correct Answer: 432

QID : 255 ­ The point Q(a,b) is first reflected in y­axis to Q1 and Q1 is reflected in x­axis to (­5,3). The co­ordinates of point Q are

Options:

1) (­5,­3)

2) (5,3)

3) (­5,3)

4) (5,­3)

Correct Answer: (5,­3)

QID : 256 ­ Raghavendra sells a machine for Rs 43 lakhs at a loss. Had he sold it for Rs 52 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

Options:

1) Rs 50.5 lakhs

2) Rs 60.6 lakhs

3) Rs 44.5 lakhs

4) Rs 38.5 lakhs

Correct Answer: Rs 44.5 lakhs

QID : 257 ­ If √(sec2A ­ 1) = x, then the value of x is

Options:

1) cotA

2) tanA

3) cosecA

4) cosA

Correct Answer: tanA

QID : 258 ­ To cover a distance of 234 km in 1.6 hours what should be the average speed of the car in meters/second?

Options:

1) 40.625 m/s

2) 146.25 m/s

3) 73.125 m/s

4) 81.25 m/s

Correct Answer: 40.625 m/s

QID : 259 ­ What is the value of cos2A/(1 + sinA)?

Options:

1) 1 + sinA

2) 1 ­ sinA

3) 1 ­ secA

4) 1 + secA

Correct Answer: 1 ­ sinA

QID : 260 ­ If 2x ­2(x ­ 2) < 5 ­ x > ­2x + 2; then the value of x is

Options:

1) 0

2) 2

3) 3

4) ­4

Correct Answer: 0

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QID : 261 ­ Marked price of an item is Rs 900. On purchase of 2 items discount is 16%, on purchase of 5 items discount is 44%. Raksha buys 7 items, what is the effective discount?

Options:

1) 10 percent

2) 16 percent

3) 36 percent

4) 9.6 percent

Correct Answer: 36 percent

QID : 262 ­ If (6x ­ 5) = (4x + 7), then the numerical value of (x + 1)3 is

Options:

1) 216

2) 125

3) 64

4) 343

Correct Answer: 343

QID : 263 ­ The points A(3,­2), B(1,4) and C(­2,x) are collinear. What is the value of x?

Options:

1) 13

2) ­2

3) 5

4) 3

Correct Answer: 13

QID : 264 ­ In an army selection process, the ratio of selected to unselected was 5:1. If 100 less had applied and 20 less selected, the ratio of selected to unselected would have been 6:1. How many candidates had applied for the process?

Options:

1) 5520

2) 2760

3) 1380

4) 8280

Correct Answer: 2760

QID : 265 ­ If xy = 48 and x2 + y2  = 100, then (x + y) is

Options:

1) 12

2) 16

3) 18

4) 14

Correct Answer: 14

QID : 266 ­ An angle is 1/3 its supplementary angle. Find the measure of the angle?

Options:

1) 45°

2) 90°

3) 135°

4) 22.5°

Correct Answer: 45°

QID : 267 ­ If (5/9 of x) ­ (2/5 of 9/4) equals ­ 4/5 then find x.

Options:

1) 0.18

2) 0.12

3) 2

4) 0.54

Correct Answer: 0.18

QID : 268 ­ In an isosceles trapezium ................

Options:

1) Diagonals are congruent

2) Opposite sides are parallel

3) Diagonals are bisectors of each other

4) Diagonals bisect opposite angles

 Correct Answer: Diagonals are congruent

QID : 269 ­ There is 40% increase in an amount in 10 years at simple interest. What will be the compound interest of Rs. 30000 after 3 years at the same rate?

Options:

1) Rs 3745.92

2) Rs 7491.84

3) Rs 9364.8

4) Rs 5618.88

Correct Answer: Rs 3745.92

QID : 270 ­ A number is greater than thrice its reciprocal by 26/3. What is the number?

Options:

1) 10

2) 11

3) 9

4) 8

Correct Answer: 9

QID : 271 ­ The cross section of a canal is in the shape of an isosceles trapezium which is 4 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 120 m long, what is the maximum capacity of this canal?

Options:

1) 2160 cubic mts

2) 3240 cubic mts

3) 4320 cubic mts

4) 1080 cubic mts

Correct Answer: 1080 cubic mts

QID : 272 ­

Options:

1) 31 : 22

2) 20 : 29

3) 29 : 20

4) 22 : 31

Correct Answer: 29 : 20

QID : 273 ­

Options:

1) 41

2) 69

3) 51

4) 110

Correct Answer: 51

QID : 274 ­

Options:

1) $4.65 trillion

2) $5.15 trillion

3) $5.2 trillion

4) $5.35 trillion

Correct Answer: $5.2 trillion

QID : 275 ­

Options:

1) 20

2) 25

3) 30

4) 35

Correct Answer: 30

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