6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?

A) 76%	B) 72%
C) 80%	D) 82%

Answer & Explanation Answer: C) 80%

Explanation:

circumference of A = $2 πr$ = 8 => so r = $\frac{4}{π}$
volume = $π \times {(\frac{4}{π})}^{2} \times 10$ = $\frac{160}{π}$
circumference of B = $2 πr$ = 10 => so r = $\frac{5}{π}$
volume = $π \times {(\frac{5}{π})}^{2} \times 8$ = $\frac{200}{π}$
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

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Filed Under: Percentage
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3 5043

Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260	B) 210
C) 210 x 6!	D) 1512

Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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Filed Under: Permutations and Combinations

0 5039

Q:

Δ DEF and Δ GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ΔABC to ΔDEF?

A) 5:3	B) 3:5
C) 25:9	D) 9:25

Answer & Explanation Answer: A) 5:3

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 5039

Q:

When $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$ is divided by 25 the remainder is:

A) 5	B) 17
C) 7	D) 0

Answer & Explanation Answer: D) 0

Explanation:

Given, $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$

$7^{21}$ (1 + 7 + 49 + 343)
$7^{21}$ (400)

Now, 400 is divisible by 25. The remainder will be 0

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

2 5037

Q:

The value of $[\frac{1}{3} l o g_{10} (125) - 2 l o g_{10} (4) + l o g_{10} (32)] :$

A) 0	B) 1
C) 2	D) 4/5

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Logarithms
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24 5035

Q:

There are 26 balls marked with alphabetical order A to Z. What is the probability of selecting vowels listed balls?

A) 1	B) 21/26
C) 5/26	D) 5

Answer & Explanation Answer: C) 5/26

Explanation:

We know that,

Total number of balls n(S) = 26

Number of vowels n(E) = 5

Hence, required probability = n(E)/n(S) = 5/26.

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Filed Under: Probability
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44 5033

Q:

One hour is what percent of a day?

A) 5.6%	B) 4.16%
C) 3.35%	D) 6.7%

Answer & Explanation Answer: B) 4.16%

Explanation:

A day has 24 hrs

=> If 24 hrs - 100

Then 1 hr = ?

100/24 = 4.16%

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Filed Under: Percentage
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31 5029

Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time

A) Rs.51.25	B) Rs.61.25
C) Rs.51	D) Rs.42

Answer & Explanation Answer: A) Rs.51.25

Explanation:

Sum = Rs.(50*100)/2*5=Rs.500

Amount=Rs.[500*(1+5/100)2]

= Rs. 551.25

C.I = Rs.(551.25-500)= Rs.51.25

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 5015

Quantitative Aptitude - Arithmetic Ability Questions

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