Q:

Find the appropriate relation for quantity 1 and quantity 2 in the following question:

An artificial kund is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the kund at the same time during which the kund is filled by the third pipe alone. The second pipe fills the kund 5 hours faster than the first pipe and 4 hours slower than the third pipe.

Quantity 1: The time required by the first pipe?

Quantity 2: Time taken by all three pipes to fill the Kund simultaneously

A) Quantity 1 > Quantity 2	B) Quantity 1 ≥ Quantity 2
C) Quantity 1 < Quantity 2	D) Quantity 1 ≤ Quantity 2

Answer & Explanation Answer: A) Quantity 1 > Quantity 2

Explanation:

Quantity 1:
Let the first pipe alone takes x hours to fill the
tank.
⇒The second and third pipes will take (x-5) and
(x-9) hours respectively.
According to the given information:
∴ $\frac{1}{x - 9}$

⇒ (x-9)(2x-5) = x2 – 5x
⇒ 2x2 – 5x – 18x + 45 = x2 – 5x
⇒ x
2 -18x + 45 = 0
⇒ (x-15) (x-3) = 0
⇒ x = 15, 3

The first pipe can take 15 hours to fill the kund.
∵ 3 hours doesn’t satisfy the statement.
Quantity 2:
∴ Time taken by second pipe = x-5
⇒ Time taken by second pipe = 15-5 = 10hours
∴ Time taken by third pipe = x -9
⇒ Time taken by third pipe = 15- 9 = 6 hours
Now,

Net part filled in 1 hour = $\frac{1}{15} + \frac{1}{10} + \frac{1}{6}$
⇒ Net part filled in 1 hour = $\frac{4 + 6 + 10}{60}$
⇒Net part filled in 1 hour = $\frac{20}{60} = \frac{1}{3}$
∴The Kund will be full in 3/1 hours if all the pipes are opened simultaneously
Now, comparing
15 > 3
Thus, Quantity 1 > quantity 2

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE
Job Role: Bank Clerk , Bank PO

2 11662

Q:

Rearrange the parts of the sentence in correct order:

Guardians of

P-the tyranny of the state
Q-four square against
R-intellectual liberty must stand

A) QRP	B) RQP
C) PRQ	D) PQR

Answer & Explanation Answer: B) RQP

Explanation:

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Filed Under: English
Exam Prep: Bank Exams

0 11660

Q:

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

$264 \div \sqrt{576} + 11^{2} + 12 = ?^{2}$

A) 44	B) 12
C) 15	D) 14

Answer & Explanation Answer: B) 12

Explanation:
264 / 24 + 121 + 12 = (?)^2 11 + 121 + 12 = (?)^2 144 = (?)^2 (?) = 12

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

0 11658

Q:

Which of the following has a highest wind velocity ?

A) Loo	B) Tornado
C) Typhoon	D) Hurricane

Answer & Explanation Answer: B) Tornado

Explanation:

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Filed Under: World Geography

13 11658

Q:

Which of the following was only the authority of the state in the period of Maurya?

A) Land	B) Mines
C) Pasture	D) Commerce

Answer & Explanation Answer: B) Mines

Explanation:

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Filed Under: Indian History
Exam Prep: Bank Exams

8 11656

Q:

Can you arrange 9 numerals - 1, 2, 3, 4, 5, 6, 7, 8 and 9 [using each numeral just once] above and below a division line, to create a fraction equaling to 1/3 [one third]?

Answer

$\frac{5832}{17496}=\frac{1}{3}$

Workspace

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Subject: Number Puzzles

75 11654

Q:

Improve the bracketed part of the sentence.

I went to sleep last night, (almost as soon as) my head hit the pillow.

A) no sooner then	B) as quickly as
C) almost as quickly as	D) no improvement

Answer & Explanation Answer: D) no improvement

Explanation:

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Filed Under: English
Exam Prep: Bank Exams

0 11649

Q:

Improve the bracketed part of the sentence.

I understood a good deal of (what was going on) about me.

A) that which was going on	B) what has had been going on
C) what that has been going on	D) no improvement

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