SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 25 January 2017"

Afternoon Shift (Quantitative Aptitude)

QID : 151 - If cosec 135° = x, then the value of x is

Options:

1) √2

2) 2

3) -√2

4) 1/√3

Correct Answer: √2

QID : 152 - If 4(x + 1) - 3 < 3 - x < 2x + 5; then the value of x is

Options:

1) -1

2) 0

3) -2

4) 3

Correct Answer: 0

QID : 153 - A cone  is hollowed  out of a solid wooden cube  of side 7 cm. The diameter and height of the cone  is same as the side of the cube.  What is the v olume of the remaining cube?

Options:

1) 253.17  cubic cms

2) 228.84  cubic cms

3) 143.26  cubic cms

4) 257.68  cubic cms

Correct Answer: 253.17  cubic cms

QID : 154 - Of the 3 numbers whose average is 72, the first is 2/7 times the sum of other 2. The first number is

Options:

1) 48

2) 72

3) 32

4) 96

Correct Answer: 48

QID : 155 - If √(1 + cot²A)  = x, then the value of x is

Options:

1) secA

2) sinA

3) cosecA

4) cosA

Correct Answer: cosecA

QID : 156 - What is the value of tan⁴A  + tan²A?

Options:

1) sec⁴A - sec²A

2) sec⁴A + sec²A

3) cosec⁴A - sec²A

4) sec⁴A + cosec²A

Correct Answer: sec⁴A - sec²A

QID : 157 - The point R(a,b) is first reflected in origin to R1 and R1 is reflected in x-axis to (-3,4). The co-ordinates of point R are

Options:

1) (3,4)

2) (-3,-4)

3) (-3,4)

4) (3,-4)

Correct Answer: (3,4)

QID : 158 - Expand and simplify (x + 5)²  + (x - 3)²

Options:

1) 2(x²  + 2x - 17)

2) 2(x²  - 2x + 17)

3) 2(x²  - 2x - 17)

4) 2(x²  + 2x + 17)

Correct Answer: 2(x²  + 2x + 17)

QID : 159 - The simplest form of 3565/1495 is

Options:

1) 31/13

2) 43/19

3) 23/13

4) 31/23

Correct Answer: 31/13

QID : 160 - When a number is increased by 42, it becomes 121% of itself. What is the number?

Options:

1) 504

2) 200

3) 630

4) 378

Correct Answer: 200

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QID : 161 - Rizvan walks at 15 km/hr  and Ruchitha cycles at 20 km/hr  towards each  other. What was the distance between them  when they started if they meet  after 42 minutes?

Options:

1) 36.8 kms

2) 30.6 kms

3) 24.5 kms

4) 18.4 kms

Correct Answer: 24.5 kms

QID : 162 - The third proportional of two numbers 7 and 21 is

Options:

1) 35

2) 63

3) 42

4) 21

Correct Answer: 63

QID : 163 - 30% discount is offered on an item. By applying a promo code  the customer wins 5% cash back. What is the effective discount?

Options:

1) 33.5 percent

2) 35.175  percent

3) 35 percent

4) 6.5 percent

Correct Answer: 33.5 percent

QID : 164 - A sum fetched a total simple  interest of Rs. 7056 at the rate of 8 percent per year in 7 years.  What is the sum?

Options:

1) Rs 12600

2) Rs 15120

3) Rs 10080

4) Rs 7560

Correct Answer: Rs 12600

QID : 165 - A mason can build a wall in 18 hours.  After 9 hours  he takes  a break. What fraction  of the wall is yet to be built?

Options:

1) 0.9

2) 0.25

3) 0.5

4) 0.2

Correct Answer: 0.5

QID : 166 - For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?

Options:

1) 2x - 5y = 17

2) 2x - 5y = 13

3) 2x + 5y = 13

4) 2x + 5y = 17

Correct Answer: 2x - 5y = 13

QID : 167 - A shopkeeper by selling 8 iphones, earns a profit equal to the selling price of 3 iphones. His profit percentage is

Options:

1) 60 percent

2) 37.5 percent

3) 75 percent

4) 15 percent

Correct Answer: 60 percent

QID : 168 - If a + b = 10 and ab = 24, then the value of a³  + b³  is

Options:

1) 280

2) 370

3) 520

4) 730

Correct Answer: 280

QID : 169 - An angle is greater than its complementary angle by 40°. Find the measure of the angle?

Options:

1) 25°

2) 65°

3) 130°

4) 50°

Correct Answer: 65°

QID : 170 - In a rhombus  .................

Options:

1) opposite angles are supplementary

2) diagonals form two congruent triangles

3) diagonals are congruent

4) diagonals do not bisect opposite angles

Correct Answer: diagonals form two congruent triangles

QID : 171 - The sum of thrice a number and twice its reciprocal is 97/4. What is the number?

Options:

1) 9

2) 10

3) 8

4) 7

Correct Answer: 8

QID : 172 -

Options:

1) 4360005

2) 280000

3) 290667

4) 140000

Correct Answer: 290667

QID : 173 -

Options:

1) 2011 & 2013

2) 2013 & 2015

3) 2011 & 2012

4) 2014 & 2015

Correct Answer: 2014 & 2015

QID : 174 -

Options:

1) Profit of Rs 10 crores

2) Profit of Rs 20 crores

3) Loss of Rs 10 crores

4) Loss of Rs 20 crores

Correct Answer: Profit of Rs 10 crores

QID : 175 -

Options:

1) 20.88 percent

2) 18.38 percent

3) 23.38 percent

4) 15.88 percent

Correct Answer: 18.38 percent

Printed Study Kit for SSC CHSL (10+2) Exam

Study Material for Junior Engineer (Civil / Electrical / Mechanical Engineering) Examination

Study Kit for SSC CGL EXAM

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