6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$∆$ DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

A) 1 - √2	B) 1/√3
C) (2 - √3)/2√3	D) (2 - 2√3)/√3

Answer & Explanation Answer: B) 1/√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 46101

Q:

What is the simplified value of

$\frac{1}{\sqrt{25} - \sqrt{24}} - \frac{1}{\sqrt{24} - \sqrt{23}} + \frac{1}{\sqrt{23} - \sqrt{22}} - \frac{1}{\sqrt{22} - \sqrt{21}} + \frac{1}{\sqrt{21} - \sqrt{20}}$ ?

A) 5 + 2√5	B) 5 – 5√2
C) √25 + √21	D) √25 – 4

Answer & Explanation Answer: A) 5 + 2√5

Explanation:

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Exam Prep: Bank Exams

0 46074

Q:

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

A) 100	B) 200
C) 300	D) 400

Answer & Explanation Answer: D) 400

Explanation:

Let the numbers be x and y.

Then, xy = 9375 and x/y = 15.

$(\frac{x y}{\frac{x}{y}}) = 9375 / 15$

=> $y^{2} = 625$

=> y = 25

=> x = 15y = 15 x 25 = 375.

Sum of the numbers = 375 + 25 = 400.

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Filed Under: Problems on Numbers

38 46045

Q:

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A) 1.04	B) 2.04
C) 3.04	D) 4.04

Answer & Explanation Answer: D) 4.04

Explanation:

100 cm is read as 102 cm.

A1 = (100*100)Sq.cm

A2 = (102*102)Sq.cm

(A2 - A1) = $102^{2} - 100^{2}$ = (102 + 100) x (102 - 100) = 404 sq.cm.

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

40 46039

Q:

$4 + (\frac{1}{6}) [\{- 10 x (25 - 13 - 3)\} \div (- 5)] = ?$

A) 8	B) 9
C) 6	D) 7

Answer & Explanation Answer: D) 7

Explanation:

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Q:

The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ?

A) 34	B) 36
C) 38	D) 40

Answer & Explanation Answer: A) 34

Explanation:

M + Tu + W + Th = 4 x 48 = 192
Tu + W + Th + F = 4 x 46 = 184
M = 42
Tu + W + Th = 192 - 42 = 150
F = 184 – 150 = 34

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Filed Under: Average
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62 45813

Q:

The length of a diagonal in cms of a rectangle of length 5 cm and width 6 cm is

A) 61	B) ±61
C) 11	D) ±11

Answer & Explanation Answer: A) 61

Explanation:

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Q:

Find the next number in the given number series?

2, 19, 0, 21, –2, ?

A) 23	B) 25
C) 27	D) 29

Answer & Explanation Answer: A) 23

Explanation:

The given number series 2, 19, 0, 21, –2, ? follows a pattern,

2

2 + 17 = 19

19 - 19 = 0

0 + 21 = 21

21 - 23 = -2

-2 + 25 = 23

Hence, the next number in the series is 23.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Quantitative Aptitude - Arithmetic Ability Questions

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