6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?

A) 4:6:8	B) 4:7:8
C) 4:8:16	D) 4:9:16

Answer & Explanation Answer: D) 4:9:16

Explanation:

Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.

Then, 12x : 8y : 6z = 4 : 6 : 8

Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4

And, 12x/6z = 4/8 <=> 4x=z <=> z=4x

Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16

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Filed Under: Partnership

18 19275

Q:

A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km /hr. Find the distance travelled on foot ?

Answer

Let the Journey on foot be x km

Journey on cycle = (80 – x) km

$∴ \frac{x}{8} + \frac{80 - x}{16} = 7$

=> x = 32km

Therefore, Distance covered on foot in 4 hrs = ( 4 x 8) = 32 km

Workspace

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Subject: Alligation or Mixture

54 19248

Q:

If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is ?

A) Rs. 580	B) Rs. 480
C) Rs. 550	D) Rs. 470

Answer & Explanation Answer: B) Rs. 480

Explanation:

Let the sum be Rs. P. Then,

$[P {(1 + \frac{25}{2 x 100})}^{2} - P]$ = 510

P[ ${(\frac{9}{8})}^{2}$ - 1] = 510.

Sum = Rs. 1920

So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

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Filed Under: Simple Interest
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

39 19239

Q:

A motor boat takes 12 hours to go downstream and it takes 24 hours to return the same distance. what is the time taken by boat in still water?

A) 15 h	B) 16 h
C) 8 h	D) 20 h

Answer & Explanation Answer: B) 16 h

Explanation:

If t1 and t2 are the upstream and down stream times. Then time taken in still water is given by

$\frac{2 \times t 1 \times t 2}{t 1 + t 2} = \frac{2 \times 12 \times 24}{36} = 16 h$

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Filed Under: Boats and Streams

61 19183

Q:

The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :

A) 3/5	B) 3/10
C) 4/5	D) 5/4

Answer & Explanation Answer: C) 4/5

Explanation:

Let the required fraction be x. Then, (1 / x )- x = 9/20
1 - x^(2) / x = 9 / 20 => 20 - 20 * x^(2) = 9 * x.
20 * x^(2) + 9 *x - 20 = 0.
=> (4 * x + 5) (5 * x - 4) = 0.
=> x = 4 / 5.

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Filed Under: Numbers

34 19165

Q:

96% of the population of a village is 23040. The total population of the village is ?

A) 24000	B) 32256
C) 25478	D) 26587

Answer & Explanation Answer: A) 24000

Explanation:

Let the total population be 'P'

P x (96/100) = 23040

P = 240 * 100

P = 24000.

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

18 19155

Q:

How many different words can be made using the letters of the word ' HALLUCINATION ' if all constants are together?

A) 129780	B) 1587600
C) 35600	D) None of these

Answer & Explanation Answer: B) 1587600

Explanation:

H L C N T A U I O

L N A I

There are total 131 letters out of which 7 are consonants and 6 are vowels. Also ther are 2L's , 2N's, 2A's and 2I's.

If all the consonants are together then the numberof arrangements = $\frac{7!}{2!}$ x 1/2! .

But the 7 consonants can be arranged themselves in $\frac{7!}{2!}$ x 1/2! ways.

Hence the required number of ways = ${(\frac{7!}{2! 2!})}^{2}$ = 1587600

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

8 19144

Q:

In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?

A) 625	B) 525
C) 425	D) 325

Answer & Explanation Answer: B) 525

Explanation:

Given 40% minimum passing marks for boys = 483 + 117 = 600
=> 1% = 600/40
=> 100% = 600 x 100/40 = 1500
Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.

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

15 19085

Quantitative Aptitude - Arithmetic Ability Questions

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