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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 