6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is

A) 101	B) 107
C) 111	D) 185

Answer & Explanation Answer: C) 111

Explanation:

Let the numbers be 37a and 37b. Then , 37a x 37b =4107 => ab = 3.

Now co-primes with product 3 are (1,3)

So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

Therefore, Greater number = 111.

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Filed Under: HCF and LCM

64 49117

Q:

If $tanα = \sqrt{2} + 1$ , then the value of $tanα - cotα$ is

A) √2 - 1	B) 2√2
C) 2	D) 1

Answer & Explanation Answer: C) 2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 49108

Q:

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is

A) Rs. 19.50	B) Rs. 19
C) Rs. 18	D) Rs. 18.50

Answer & Explanation Answer: C) Rs. 18

Explanation:

Let the price of the mixed variety be Rs. x per kg. By the rule of alligation, we have :

Cost of 1 kg of type 1 rice Cost of 1 kg of type 2 rice

$∴$ (20-x)/(x-15) = 2/3

$\Rightarrow$ 60 - 3x = 2x - 30

$\Rightarrow$ x = 18.

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Filed Under: Alligation or Mixture

109 48839

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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Filed Under: Area
Exam Prep: Bank Exams

3 48813

Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2).

A) -1/2	B) (√6-1)/√3
C) (√2-2)/2√2	D) √3-2

Answer & Explanation Answer: C) (√2-2)/2√2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 48633

Q:

30% of a number is 33. What is the number?

A) 120	B) 115
C) 105	D) 110

Answer & Explanation Answer: D) 110

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

3 48626

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 48521

Q:

Solve the following :

$60 \div 5 \times (16 - 8 \div 2) \div 3 = ?$

A) 3	B) 48
C) 1	D) 1/3

Quantitative Aptitude - Arithmetic Ability Questions

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