AIEEE Questions and Answers with Explanation

Q:

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 $m^{3}$ . The emptying capacity of the tank is 10 $m^{3}$ per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

A) 50 m^3/min	B) 60 m^3/min
C) 72 m^3/min	D) None of these

Answer & Explanation Answer: A) 50 m^3/min

Explanation:

Let the filling capacity of the pump be x $m^{3}$ /min.

Then, emptying capacity of the pump=(x+10) $m^{3}$ /min.

so, $\frac{2400}{x} - \frac{2400}{x + 10} = 8 \Leftrightarrow x^{2} + 10 x - 3000 = 0$

$\Rightarrow (x - 50) + (x + 60) = 0 \Leftrightarrow x = 50$

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Filed Under: Pipes and Cistern
Exam Prep: CAT , Bank Exams , AIEEE
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38 22033

Q:

Google Docs is a type of cloud computing.

A) TRUE

B) FALSE

Answer & Explanation Answer: A) TRUE

Explanation:

TRUE, Google Docs is a type of cloud computing.

Workspace

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Subject: Computer
Exam Prep: AIEEE , Bank Exams
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

9 22024

Q:

A number is increased by 20% and then decreased by 20%, the final value of the number is ?

A) increase by 2%	B) decrease by 3%
C) decrease by 4%	D) increase by 5%

Answer & Explanation Answer: C) decrease by 4%

Explanation:

Here, x = 20 and y = - 20
Therefore, the net % change in value
= $x + y + \frac{x y}{100}$ %
= $20 + (- 20) + \frac{20 \times - 20}{100}$ % or - 4%

Since the sign is negative, there is a decrease in value by 4%.

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Filed Under: Percentage
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

34 22014

Q:

The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?

A) Rs. 22.5	B) Rs. 2.5
C) Rs. 202	D) Rs. 25

Answer & Explanation Answer: A) Rs. 22.5

Explanation:

We know that I = PTR/100
=> P = 20250/4.5 = 4500
Now, new Interest at 5% = 4500x1x5/100 = 225
Now the additional amount = 225 - 202.5 = Rs. 22.5

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

18 21983

Q:

Maths Challenge

18664144_1312106528896448_6995063813597220901_n1499145941.jpg image

A) 19	B) 38
C) 22	D) 40

Answer & Explanation Answer: D) 40

Explanation:

To get a pair of black rings 100 percent certain

27 blue + 17 red + 2 black = 40 rings should be taken out

Then only we can get 100 % a pair of black rings.

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Filed Under: Math Puzzles
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
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58 21925

Q:

The study of Heavenly bodies is called

A) Astronomy	B) Astrology
C) Astrophysics	D) Astronautics

Answer & Explanation Answer: A) Astronomy

Explanation:

Astronomy is the study of planets and heavenly bodies. Historically, astronomy has focused on observations of heavenly bodies. It is a close cousin to astrophysics. Succinctly put, astrophysics involves the study of the physics of astronomy and concentrates on the behavior, properties and motion of objects out there.

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Filed Under: General Awareness
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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60 21910

Q:

What will come in place of the question mark in the series below?

3, 5, 15, 45, 113, ?

A) 250	B) 243
C) 247	D) 261

Answer & Explanation Answer: B) 243

Explanation:

Ans.
5 = 3 + (13 + 1)
15 = 5 + (23 + 2)
45 = 15 + (33 + 3)
113 = 45 + (43 + 4)
? = 113 + (53 + 5), i.e. ? = 243

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

0 21890

Q:

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

A) 60 gallons	B) 100 gallons
C) 120 gallons	D) 180 gallons

Answer & Explanation Answer: C) 120 gallons

Explanation:

Work done by the waste pipe in 1 minute = $\frac{1}{15} - (\frac{1}{20} + \frac{1}{24}) = \frac{1}{15} - \frac{11}{120} = - \frac{1}{40}$ [-ve sign means emptying]

Volume of $\frac{1}{40}$ part = 3 gallons

Volume of whole = (3 x 40) gallons = 120 gallons.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

37 21876

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