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Q:

A can do a work in 24 days. B is 20% more efficient than A. If C can do the work in 10 more days than B, find the time taken by A and C together to complete the work.

A) 43/3 days	B) 40/3 days
C) 50/3 days	D) 41/2 days

Answer & Explanation Answer: B) 40/3 days

Explanation:

A takes 24 days to complete a work.
B is 20% more efficient than A,
hence B will take (24*100)/120 = 20 days.
C takes (20+10) = 30 days.
Time taken by A & C in completing the work = (24*30)/(24+30) = (24*30)/54 = 40/3 days.

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Filed Under: Time and Work
Exam Prep: Bank Exams

Q:

A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take π = 22/7)

A) 1166.4 metres	B) 1458 metres
C) 777.6 metres	D) 972 metres

Answer & Explanation Answer: D) 972 metres

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

Q:

The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find the new amount of water in the mixture.

A) 12 litres	B) 14 litres
C) 16 litres	D) 17 litres

Answer & Explanation Answer:

Explanation:

Let initial quantity of milk & water in the mixture are 5x & 4x
2 litres water is added.
Hence,
New quantity of milk & water will be 5x & (4x+2)
ATQ,
5x/(4x+2) = 10/9
x/(4x+2) = 2/9 9x = 8x + 4
x=4
Hence,
New amount of water in the mixture = 4x+2 = (4*4) + 2 = 18 litres.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

Q:

What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?

A) 22 cm	B) 16.5 cm
C) 11 cm	D) 28 cm

Answer & Explanation Answer: C) 11 cm

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

Q:

If cosC + cosD = x, then value of x is

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

Answer & Explanation Answer: A) 2cos[(C+D)/2]cos[(C-D)/2]

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Which of the following numbers is completely divisible by 99?

A) 51579	B) 51557
C) 55036	D) 49984

Answer & Explanation Answer: A) 51579

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

What value should come in place of question mark (?) in the following question?

$44^{2} + 23^{2} = {(?)}^{2} + 4^{4}$

A) 47	B) 65
C) 52	D) 41

Answer & Explanation Answer: A) 47

Explanation:

$1936 + 529 = ?^{2} + 256 2465 = ?^{2} + 256 ?^{2} = 2465 - 256 ?^{2} = 2209 ? = 47$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams

Q:

What value should come in place of the question mark (?) in the following question?

$68 x \sqrt{?} - 3421 = 591$

A) 3249	B) 3481
C) 3364	D) 3136

Answer & Explanation Answer: B) 3481

Explanation:

$68 x \sqrt{?} - 3421 = 591 \sqrt{?} = 4012 / 68 ? = 59 x 59 ? = 3481$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams

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