6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What should be the maximum value of B in the following equation?
8A9 – 6B2 + 4C6 = 723

A) 4	B) 1
C) 5	D) 7

Answer & Explanation Answer: D) 7

Explanation:

1 1
8 A 9
+ 4 C 6
- 6 B 2
7 2 3
We may represent the given sum, as shown below:

1 + A + C - B = 12
A + C - B = 11

Now,giving the maximum values to A and C, i.e.

A = 9 and C = 9, we get B = 7.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

5 3836

Q:

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed ?

A) 5040	B) 2525
C) 2052	D) 4521

Answer & Explanation Answer: A) 5040

Explanation:

The Word LOGARITHMS contains 10 letters.

To find how many 4 letter words we can form from that = ${}^{10}P_{4}$ =10x9x8x7 = 5040.

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Filed Under: Permutations and Combinations
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

4 3834

Q:

Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?

A) 3 hours	B) 3 hours 15 minutes
C) 3 hours 30 minutes	D) 3 hours 45 minutes

Answer & Explanation Answer: D) 3 hours 45 minutes

Explanation:

Let them take x hours working together

1/x = 1/10 + 1/6 = 8/30

X= 30/8 hours = 15/4 hours = 3 hours 45 minutes

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Filed Under: Time and Work
Exam Prep: Bank Exams

1 3828

Q:

A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively?

A) 3:7	B) 7:9
C) 5:4	D) 8:3

Answer & Explanation Answer: D) 8:3

Explanation:

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

		x x 8	4		= (y x 4)
			5

	44	x =4y
	5

y =	11	x.
	5

Required ratio =		y + x		:		y - x
		2				2

=		16x	x	1		:		6x	x	1
		5		2				5		2

=	8	:	3
	5		5

= 8 : 3.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

16 3817

Q:

5 + 2 x 10/2 = ?

A) 15	B) 35
C) 10	D) 20

Answer & Explanation Answer: A) 15

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 = 10

Now, 5 + 10 = 15.

Hence, 5 + 2 x 10/2 = 15.

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

5 3816

Q:

A wholesaler sells a watch to a retailer at a gain of 32% and the retailer sells it to a customer at a loss of 20%. If the customer pays Rs 1,953.6, what had it cost the wholesaler?

A) Rs 2063	B) Rs 2394
C) Rs 1850	D) Rs 1637

Answer & Explanation Answer: C) Rs 1850

Explanation:

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT

5 3814

Q:

The cash realised on selling a 14% stock at Rs. 106.25, brokerage being $\frac{1}{4}$ %, is :

A) RS.105.50	B) RS.106
C) RS.106.50	D) RS.113.75

Answer & Explanation Answer: B) RS.106

Explanation:

Cash realised = Rs. (106.25 - 0.25) = Rs. 106.

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Filed Under: Stocks and Shares

1 3807

Q:

Determine the nominal rate of interest if:
The periodic rate is 1.75% per quarter.

A) 7%	B) 8%
C) 9%	D) 10%

Quantitative Aptitude - Arithmetic Ability Questions

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