SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 16 January 2017" Evening Shift (Quantitative Aptitude)

QID : 251 - A thief is stopped by a policeman from a distance of 400 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h  and that of policeman as 9 km/h, how far the thief would have run, before  he is over-taken by the policeman?

Options:

1) 400 metres

2) 600 metres

3) 500 metres

4) 300 metres

Correct Answer: 500 metres

QID : 252 - If 2x- 3(4-2x) < 4x - 5 < 4x + 2x/3, then x can take which of the following values?

Options:

1) 2

2) 8

3) 0

4) -8

Correct Answer: 0

QID : 253 - If 1/(tanA + cotA) = x, then value of x is

Options:

1) cosAsinA

2) cos²Asin²A

3) cosecAsecA

4) cosec2Asec2A

Correct Answer: cosAsinA

QID : 254 - At least two pairs of consecutive angles are congruent in a  .................

Options:

1) Parallelogram

2) Isosceles trapezium

3) Rhombus

4) Kite

Correct Answer: Isosceles trapezium

QID : 255 - An engineering student has  to secure 25% marks to pass. He gets 47 and fails by 43 marks. What are the maximum marks of the examination?

Options:

1) 385 marks

2) 410 marks

3) 360 marks

4) 435 marks

Correct Answer: 360 marks

QID : 256 - P(4,2) and R(-2,0) are vertices of a rhombus PQRS. What is the equation of diagonal QS.

Options:

1) x - 3y = -2

2) 3x + y = 4

3) 3x + y = -4

4) x - 3y = 2

Correct Answer: 3x + y = 4

QID : 257 - If a – b = 11 and ab = 24, then value of a²  + b²  is

Options:

1) 169

2) 37

3) 73

4) 48

Correct Answer: 169

QID : 258 - There is 40% increase in an amount in 8 years  at simple  interest. What will be the compound interest (in rupees) of Rs 30000  after 2 years  at the same rate?

Options:

1) 6150

2) 7687.5

3) 4612.5

4) 3075

Correct Answer: 3075

QID : 259 - What is the measure of central  angle of the arc whose length is 11 cm and radius  of the circle is 14 cm?

Options:

1) 45°

2) 60°

3) 75°

4) 90°

Correct Answer: 45°

QID : 260 - If the shopkeeper sells an item at Rs 960 which is marked  as Rs 1200, then what is the discount he is offering?

Options:

1) 25 percent

2) 12 percent

3) 20 percent

4) 28 percent

Correct Answer: 20 percent

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

एसएससी - सीएचएसएल परीक्षा ​​अध्ययन सामग्री  

QID : 261 - The simplified  form of (x + 3)²  + (x - 1)²  is

Options:

1) (x²  + 2x + 5)

2) 2(x²  + 2x + 5)

3) (x²  - 2x + 5)

4) 2(x²  - 2x + 5)

Correct Answer: 2(x²  + 2x + 5)

QID : 262 - The sum of all prime numbers between 58 and 68 is

Options:

1) 179

2) 178

3) 187

4) 183

Correct Answer: 187

QID : 263 - A cylindrical vessel of height 5 cm and radius  4 cm is completely filled with sand. When this sand is poured  out it forms  a right circular cone  of radius  6 cm. What will be the height of this cone?  (Take π = 22/7)

Options:

1) 6.67 cm

2) 2.22 cm

3) 3.33 cm

4) 1.67 cm

Correct Answer: 6.67 cm

QID : 264 - When a discount of 20% is given on a sweater, the profit is 28%. If the discount is 14%, then the profit is

Options:

1) 42 percent

2) 46.4 percent

3) 33.2 percent

4) 37.6 percent

Correct Answer: 37.6 percent

QID : 265 - Point P is the midpoint  of segment AB. Co-ordinates of point P are (2,1) and point A are (11,5). Co-ordinates of point B are

Options:

1) (-7,-3)

2) (6.5,3)

3) (7,3)

4) (-6.5,-3)

Correct Answer: (-7,-3)

QID : 266 - In an army selection process, the ratio of selected to unselected candidates was 4:1. If 90 less  had applied  and 20 less  selected, the ratio of selected to unselected would have been  5:1. How many candidates had applied  for the process?

Options:

1) 1650

2) 3300

3) 825

4) 4950

Correct Answer: 1650

QID : 267 - The average of 25 consecutive odd integers is 55. The highest of these integers is

Options:

1) 79

2) 105

3) 155

4) 109

Correct Answer: 79

QID : 268 - Product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits.What is the original number?

Options:

1) 54

2) 83

3) 38

4) 45

Correct Answer: 38

QID : 269 - What is the value of sin(11π/6)?

sin(11π/6) का मान    या है?

Options:

1) 2/√3

2) -2/√3

3) -1/2

4) 1/2

Correct Answer: -1/2

QID : 270 - Sister can bake 50 cakes in 25 hours, Sister and Mummy together can bake 75 cakes in 15 hours.  How many cakes Mummy can bake in 15 hours?

Options:

1) 25

2) 45

3) 20

4) 10

Correct Answer: 45

QID : 271 - If sinC - sinD = x, then value of x is

Options:

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

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

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

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

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

QID : 272 -

Options:

1) 40

2) 22.86

3) 50

4) 100

Correct Answer: 50

QID : 273 -

Options:

1) 1040

2) 1360

3) 920

4) 4640

Correct Answer: 1040

QID : 274 -

Options:

1) 1410 calories

2) 1360 calories

3) 1310 calories

4) 1260 calories

Correct Answer: 1360 calories

QID : 275 -

Options:

1) 49.89 percent

2) 42.64 percent

3) 64.39 percent

4) 57.14 percent

Correct Answer: 57.14 percent

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

एसएससी - सीएचएसएल परीक्षा ​​अध्ययन सामग्री  

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