SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 07 January 2017" Morning Shift (Quantitative Aptitude)

QID : 51 - In ΔABC, D and E are points  on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 10 cm, 5 cm and 6 cm respectively. What is the length of BC?

Options:

1) 9 cm

2) 2 cm

3) 3 cm

4) 11 cm

Correct Answer: 9 cm

QID : 52 - If 2x - 1 < 5x + 2 and 2x + 5 < 6 - 3x, then x can take which of the following values?

Options:

1) 1

2) 0

3) 2

4) -2

Correct Answer: 0

QID : 53 - A carpenter can build a cupboard in 60 hours.  After 15 hours  he takes  a break. What fraction  of the cupboard is yet to be built?

Options:

1) 0.5

2) 0.9

3) 0.75

4) 0.25

Correct Answer: 0.75

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

एसएससी - सीएचएसएल परीक्षा ​​अध्ययन सामग्री

QID : 54 - There is 75% increase in an amount in 5 years  at simple  interest. What will be the compound interest of Rs 40000 after 2 years  at the same rate?

Options:

1) Rs 25800

2) Rs 32250

3) Rs 12900

4) Rs 19350

Correct Answer: Rs 12900

QID : 55 - Which of the following equations has  the sum of its roots  as 5?

Options:

1) x²  - 5x + 6 = 0

2) x²  - 5x - 6 = 0

3) x²  + 5x + 6 = 0

4) x²  + 5x - 6 = 0

Correct Answer: x2  - 5x + 6 = 0

QID : 56 - The base angle of an isosceles trapezium is 45°. If the shorter side and both the equal sides are 10 cm each, what is the area of the trapezium?

Options:

1) 50√2 + 50 sq cm

2) 50√2 + 100 sq cm

3) 100√2 + 50 sq cm

4) 100√2 + 100 sq cm

Correct Answer: 50√2 + 50 sq cm

QID : 57 - Rahul sells a machine for Rs 50 lakhs at a loss.  Had he sold it for Rs 60 lakh, his gain would have been  7 times the earlier loss.  What is the cost price of the machine?

Options:

1) Rs 51.25 lakhs

2) Rs 58.75 lakhs

3) Rs 67.14 lakhs

4) Rs 43.75 lakhs

Correct Answer: Rs 51.25 lakhs

QID : 58 - If the radius  of a circle is increased by 27%, then its area will increase by

Options:

1) 61.29 percent

2) 54 percent

3) 27 percent

4) 30.645  percent

Correct Answer: 61.29 percent

QID : 59 - If Girilal's salary is 11/7 times of Hariram's and Shekhar's is 3/4 times of Hariram's, what is the ratio of Girilal's salary to Shekhar's salary.

Options:

1) 44:21

2) 28:33

3) 33:28

4) 21:44

Correct Answer: 44:21

QID : 60 - (cosA + sinA)²  + (cosA - sinA)²  is equals to

Options:

1) 1

2) 1/2

3) 2

4) 0

Correct Answer: 2

QID : 61 - If a merchant offers  a discount of 20% on the list price, then she makes a loss  of 16%. What % profit or % loss  will she make if she sells goods at a discount of 10% of the list price?

Options:

1) 14 percent profit

2) 20 percent profit

3) 50 percent profit

4) 5.5 percent loss

Correct Answer: 5.5 percent loss

QID : 62 - The sum of all prime numbers between 30 and 42 is

Options:

1) 103

2) 109

3) 105

4) 104

Correct Answer: 109

QID : 63 - The curved surface area of a hemisphere is 2772 sq cm and volume is 19404  cubic cm, what is its radius? (Take π = 22/7)

Options:

1) 42 cms

2) 21 cms

3) 10.5 cms

4) 31.5 cms

Correct Answer: 21 cms

QID : 64 - If cosC - cosD = x, then value of x is

Options:

1) 2sin[(C+D)/2]cos[(C-D)/2]

2) 2cos[(C+D)/2]sin[(C-D)/2]

3) 2sin[(C+D)/2]sin[(D-C)/2]

4) 2cos[(C+D)/2]cos[(C-D)/2]

Correct Answer: 2sin[(C+D)/2]sin[(D-C)/2]

QID : 65 - The value of x for which the expressions 12 - 6x and 4x + 2 become equal is

Options:

1) 0

2) 2

3) 1

4) 4

Correct Answer: 1

QID : 66 - Δ DEF and Δ GHI are similar triangles. Length of DE is 4 cm and length of the corresponding side GH is 9 cm. What is the ratio of areas of

Options:

1) 81:16

2) 4:9

3) 16:81

4) 9:4

Correct Answer: 16:81

QID : 67 - To travel 816 km, an Express train takes  9 hours  more than Rajdhani. If however, the speed of the Express train is doubled,  it takes  4 hours  less  than

Rajdhani.  What is the speed of Rajdhani?

Options:

1) 48 km/hr

2) 62.8 km/hr

3) 33.2 km/hr

4) 77.5 km/hr

Correct Answer: 48 km/hr

QID : 68 - What would be the equation of the line, which intercepts x-axis at -5 and is perpendicular to the line y = 2x + 3?

Options:

1) x - 2y = -5

2) x + 2y = 5

3) x + 2y = -5

4) x - 2y = 5

Correct Answer: x + 2y = -5

QID : 69 - If 4pxy = (x + 2y)² - (x - 2y)², then what will be the value of p?

Options:

1) 0.5

2) 0.25

3) 4

4) 2

Correct Answer: 2

QID : 70 - In the first 26 overs of a cricket match,  the run rate was 5.4 runs/over. What is the required  run rate in the remaining 24 overs to reach  the target  of 294 runs?

Options:

1) 7

2) 6.4

3) 7.6

4) 5.8

Correct Answer: 6.4

QID : 71 - What is the value of tan -5π/6?

Options:

1) -1/√3

2) 1/√3

3) √3

4) -√3

Correct Answer: 1/√3

QID : 72 -

Options:

1) 3920004

2) 220000

3) 228000

4) 435556

Correct Answer: 435556

QID : 73 -

Options:

1) 2013 & 2014

2) 2013 & 2015

3) 2011 & 2012

4) 2014 & 2015

Correct Answer: 2013 & 2014

QID : 74 -

Options:

1) Profit of Rs 30 crores

2) Loss of Rs 20 crores

3) Loss of Rs 30 crores

4) Profit of Rs 20 crores

Correct Answer: Profit of Rs 20 crores

QID : 75 -

Options:

1) 23.46 percent

2) 25.96 percent

3) 18.46 percent

4) 20.96 percent

Correct Answer: 20.96 percent

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

एसएससी - सीएचएसएल परीक्षा ​​अध्ययन सामग्री

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