5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

Simplify the following equation

$\frac{[{(K - L)}^{2} - {(K + L)}^{2}]}{4 K}$ = a/b

A) K = b /a	B) bL = -a
C) KL = 1	D) aK = -b

Answer & Explanation Answer: B) bL = -a

Explanation:

$\frac{[(K - L)^{2} - {(K + L)}^{2}]}{4 K} = \frac{a}{b} \frac{(K^{2} + L^{2} - 2 K L) - (K^{2} + L^{2} + 2 K L)}{4 K} = \frac{a}{b}$

=> - 4KL/4K = a/b

=> L = - a/b

=> bL = -a

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Filed Under: Simplification
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6 141755

Q:

ΔXYZ is right angled at Y. If sinX = 12/13, then what is the value of cosecZ ?

A) 5/12	B) 5/13
C) 13/5	D) 13/12

Answer & Explanation Answer: C) 13/5

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

2 141331

Q:

If each side of a square is increased by 25%, find the percentage change in its area?

A) 65.25	B) 56.25
C) 65	D) 56

Answer & Explanation Answer: B) 56.25

Explanation:

let each side of the square be a , then area = $a^{2}$

As given that The side is increased by 25%, then

New side = 125a/100 = 5a/4

New area = ${(\frac{5 a}{4})}^{2}$

Increased area= $\frac{25 a^{2}}{16} - a^{2}$

Increase %= $\frac{[9 a^{2} / 16]}{a^{2}} * 100$ % = 56.25%

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Filed Under: Area
Exam Prep: Bank Exams
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949 141136

Q:

Find the Odd One Out of the following Number Series?

3, 14, 36, 67, 113, 168

A) 14	B) 36
C) 67	D) 113

Answer & Explanation Answer: C) 67

Explanation:

Here the given number series is 3, 14, 36, 67, 113, 168

It follows a pattern that

3

3 + 1 x 11 = 3 + 11 = 14

14 + 2 x 11 = 14 + 22 = 36

36 + 3 x 11 = 36 + 33 = 69

69 + 4 x 11 = 69 + 44 = 113

113 + 5 x 11 = 113 + 55 = 168

Hence, the wrong number is 67.

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Filed Under: Odd Man Out
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6 139824

Q:

Find the odd number out of the following number series?

2 4 8 11.5 18.25 28.375

A) 18.25	B) 28.375
C) 11.5	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Given number series follows a pattern that,

2

2 x 1.5 + 1 = 4

4 x 1.5 + 1 = 7 (not equal to 8)

7 x 1.5 + 1 = 11.5

11.5 x 1.5 + 1 = 18.25

18.25 x 1.5 + 1 = 28.375

Hence, the odd number in the given number series is 8.

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Filed Under: Odd Man Out
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17 139425

Q:

What letter will come in place of question mark ?

L J H

J P D

P ? E

A) K	B) L
C) P	D) I

Answer & Explanation Answer: D) I

Explanation:

Sum of place value in a row is 30.

So the letter which comes in place of '?' is 'I'.

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Filed Under: Alphabet Test
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81 139182

Q:

One word substitution:

Commencement of words with the same letter.

A) Alliteration	B) Oxymoron
C) Pun	D) Transferred epithet

Answer & Explanation Answer: A) Alliteration

Explanation:

Alliteration is the one-word substitute for Commencement of words with the same letter.

Alliteration is a figure of speech which is identified as the occurrence of the same letter or sound at the beginning of adjacent or closely connected words.

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Filed Under: Alphabet Test
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34 139119

Q:

What is the next number of the following sequence ?

21, 77, 165, 285, ......

A) 404	B) 415
C) 426	D) 437

Answer & Explanation Answer: D) 437

Explanation:

The series follow the rule,

21 = $5^{2}-4$
77 = $9^{2} - 4$
165 = $13^{2} - 4$
285 = $17^{2} - 4$

5,9,13,17,21,(+4)...
In the same way next no. will be
$21^{2} - 4$ = 441 - 4 = 437

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Filed Under: Number Series
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50 139000

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

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