5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

What is the place value of 0 in 103?

A) 0	B) 100
C) 10	D) 103

Answer & Explanation Answer: A) 0

Explanation:

The place value of 0 in 103 is given by the product of digits place in the number and the digit.

Here 0 is in 10's place in 103

=> 0 x 10 = 0.

Hence, The place value of 0 in 103 = 0.

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Filed Under: Arithmetical Reasoning
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13 5055

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
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2 5048

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 5048

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 5045

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 5044

Q:

On simple interest an amount becomes Rs. 812 in two years and Rs. 924 in four years. What is the rate of interest on that amount?

A) 7.2%	B) 8%
C) 8.5%	D) 9.3%

Answer & Explanation Answer: B) 8%

Explanation:

We know,

S.I = PTR/100 where P = principal amount, T = time, R = rate of interest

Here in the given data,

Interest for two years S.I = 924 - 812 = Rs. 112

Now, Principal amount P = 812 - 112 = Rs. 700

Now,

R = S.I x 100/PT

R = 112 x 100/700 x 2

R = 11200/1400

R = 8%

Hence, the rate of interest R = 8%.

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Filed Under: Simple Interest
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7 5044

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.