6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Select the missing number based on the given related pair of numbers.

158 : 384 :: 140 : ___

A) 347	B) 346
C) 348	D) 349

Answer & Explanation Answer: C) 348

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

9 27029

Q:

In the following question, select the odd letter/letters from the given alternatives.

A) TOJE	B) VQLG
C) XSNI	D) PKFB

Answer & Explanation Answer: D) PKFB

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 26979

Q:

A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives :

A) 14700	B) 15000
C) 12000	D) 13500

Answer & Explanation Answer: A) 14700

Explanation:

Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.

So, x + x + 5000 + x + 9000 = 50000 <=> 3x = 36000 <=>

x = 12000.

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

A's share = Rs. (35000 * 21/50 ) = Rs. 14,700.

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Filed Under: Partnership

25 26961

Q:

The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ?

A) 8 kmph	B) 6 kmph
C) 7.5 kmph	D) 5.5 kmph

Answer & Explanation Answer: B) 6 kmph

Explanation:

Speed of the stream = 1
Motor boat speed in still water be = x kmph
Down Stream = x + 1 kmph
Up Stream = x - 1 kmph
[35/(x + 1)] + [35/(x - 1)] = 12
x = 6 kmph

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

70 26956

Q:

What annual payment will discharge a debt of Rs.7620 due in 3years at $16 \frac{2}{3}$ % per annum interest?

A) 5430	B) 4430
C) 3430	D) 2430

Answer & Explanation Answer: C) 3430

Explanation:

Let each installment be Rs.x. Then,

(P.W. of Rs.x due 1 year hence) + (P.W of Rs.x due 2 years hence) + (P.W of Rs. X due 3 years hence) = 7620.

$[\frac{x}{(1 + \frac{50}{3 x 100})}] + [\frac{x}{1 + {(\frac{50}{3 x 100})}^{2}}] + [\frac{x}{1 + {(\frac{50}{3 x 100})}^{3}}] = 7620$

$\frac{6 x}{7} + \frac{36 x}{49} + \frac{216 x}{343} = 7620$

$294 x + 252 x + 216 x = 7620 x 343$

=> x = 3430

Amount of each installment = Rs.3430

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

78 26937

Q:

A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ?

A) 6%	B) 8%
C) 10%	D) 12%

Answer & Explanation Answer: B) 8%

Explanation:

Let the shopkeeper buy 300g for Rs.300. Now he sells 100g for Rs.110, another 100g for Rs120, and the rest 100g for Rs94.

Therefore, the total amount he receives = Rs.110 + Rs.120 + Rs.94 = 324.

Therefore, the shopkeeper spends Rs.300 and gets back Rs.324.

Therefore, his profit percentage = $\frac{24}{300} x 100$ % = 8%

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

51 26919

Q:

A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?

A) 13/42	B) 17/42
C) 5/42	D) 3/14

Answer & Explanation Answer: B) 17/42

Explanation:

3 letters can be choosen out of 9 letters in $9 C_{3}$ ways.

More than one vowels ( 2 vowels + 1 consonant or 3 vowels ) can be choosen in $(4 C_{2} * 5 C_{1}) + 4 C_{3}$ ways

Hence,required probability = $\frac{(4 C_{2} * 5 C_{1}) + 4 C_{3}}{9 C_{3}}$ = 17/42

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Filed Under: Probability

55 26903

Q:

How many lines can you draw using 3 non collinear (not in a single line) points A, B and C on a plane?

A) 3	B) 6
C) 2	D) 4

Answer & Explanation Answer: A) 3

Explanation:

You need two points to draw a line. The order is not important. Line AB is the same as line BA. The problem is to select 2 points out of 3 to draw different lines. If we proceed as we did with permutations, we get the following pairs of points to draw lines.

AB , AC

BA , BC

CA , CB

There is a problem: line AB is the same as line BA, same for lines AC and CA and BC and CB.

The lines are: AB, BC and AC ; 3 lines only.

So in fact we can draw 3 lines and not 6 and that's because in this problem the order of the points A, B and C is not important.

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Filed Under: Permutations and Combinations

57 26846

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