6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

${Cos}^{2} 90^{°} + {Cosec}^{2} 90 ° - {Cot}^{2} 45^{°} = ?$

A) 2	B) 1
C) 1/2	D) √3/2

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 45234

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 45233

Q:

12 people at a party shake hands once with everyone else in the room.How many handshakes took place?

A) 72	B) 66
C) 76	D) 64

Answer & Explanation Answer: B) 66

Explanation:

There are 12 people, so this is our n value.

So, $12 C_{2}$ 1= 66

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Filed Under: Permutations and Combinations

90 45215

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 45201

Q:

If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number :

A) 601	B) 600
C) 603	D) 602

Answer & Explanation Answer: A) 601

Explanation:

If the word started with the letter A then the remaining 5 positions can be filled in 5! Ways.

If it started with c then the remaining 5 positions can be filled in 5! Ways.Similarly if it started with H,I,N the remaining 5 positions can be filled in 5! Ways.

If it started with S then the remaining position can be filled with A,C,H,I,N in alphabetical order as on dictionary.

The required word SACHIN can be obtained after the 5X5!=600 Ways i.e. SACHIN is the 601th letter.

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Filed Under: Permutations and Combinations

84 45167

Q:

If the value of $θ = 30 °$ , then the value of $\tan^{2} θ + \cot^{2} θ$ .

A) 1/3	B) 4/3
C) 9/3	D) 10/3

Answer & Explanation Answer: D) 10/3

Explanation:

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Filed Under: Simplification
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1 45162

Q:

Find the Odd One Out?

3 24 186 1008 5040 20160

A) 24	B) 20160
C) 186	D) 5040

Answer & Explanation Answer: C) 186

Explanation:

The given number series is 3 24 186 1008 5040 20160

Here the given series follows a pattern that,

3

3 x 8 = 24

24 x 7 = 168 not 186

168 x 6 = 1008

1008 x 5 = 5040

5040 x 4 = 20160

Hence the Odd One in the number series is 186.

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Filed Under: Odd Man Out
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3 45100

Q:

In the following question, select the odd word pair from the given alternatives.

A) Trouser – Garment	B) Ostrich – Bird
C) Table – Furniture	D) Stationery – Pen

Quantitative Aptitude - Arithmetic Ability Questions

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