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
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

6 73991

Q:

Choose the pair which shows the same relation of the given pair from the following options ?

BRISTLE : BRUSH

A) arm : leg	B) key : piano
C) recline : chair	D) stage : curtain

Answer & Explanation Answer: B) key : piano

Explanation:

A bristle is a part of a brush; a key is a part of a piano.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

10 73425

Q:

56% of 225 + 20% of 150 = ? - 109

Find the value of '?' in the above equation

A) 264	B) 220
C) 241	D) None

Answer & Explanation Answer: A) 264

Explanation:

Given 56% of 225 + 20% of 150 = ? - 109

we know that a% of b = b% of a

Now,

225% of 56 + 20% of 150 = ? - 109

200% of 56 + 25% of 56 + 20% of 150 = ? - 109

112 + 14 + 30 = ? - 109

? = 112 + 14 + 30 + 109

? = 264

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

28 73371

Q:

If log 2 = 0.3010 and log 3 = 0.4771, the values of log₅ 512 is

A) 2.875	B) 3.875
C) 4.875	D) 5.875

Answer & Explanation Answer: B) 3.875

Explanation:

ANS: log₅512 = log512/log5 = $\frac{\log 2^{9}}{\log (10 / 2)}$ = $\frac{9 \log 2}{\log 10 - \log 2}$ = $\frac{9 * 0.3010}{1 - 0.3010}$ =2.709/0.699 =2709/699 =3.876

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Filed Under: Logarithms
Exam Prep: Bank Exams
Job Role: Bank PO

210 72776

Q:

{8 - (28 - 53)} / {-4 x 5 - (-9)} = ?

A) 11	B) -3
C) 3	D) -11

Answer & Explanation Answer: B) -3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

13 72773

Q:

The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers :

A) 4	B) 8
C) 12	D) 16

Answer & Explanation Answer: B) 8

Explanation:

Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.

Then [x + (x + 2) + (x + 4) + (x + 6) + (x + 8) ] / 5 = 61.

or 5x + 20 = 305 or x = 57.

So, required difference = (57 + 8) - 57 = 8

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Filed Under: Average

235 72541

Q:

Find the missing number?

5 19 49 101 181 295 ?

A) 401	B) 351
C) 449	D) 501

Answer & Explanation Answer: C) 449

Explanation:

Given number series is 5 19 49 101 181 295 ?

Here the series follows pattern that

5 19 49 101 181 295 ?

14 30 52 80 114 (difference)

16 22 28 34 (difference)

6 6 6 (Common difference)

Therefore, the missing number in the series is ? = 295 + 115 + 34 + 6 = 449.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

4 72488

Q:

The perimeter of a square is 34 cm. Find its area (in cm2).

A) 144.5	B) 82.25
C) 164.5	D) 72.25

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

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Verbal Reasoning - Logical Deduction

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