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

Report Error

View Answer Report Error Discuss

Filed Under: Partnership

18 19499

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

Report Error

View Answer Report Error Discuss

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

39 19459

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

Report Error

View answer Workspace Report Error Discuss

Subject: Alligation or Mixture

54 19420

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

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

Report Error

View Answer Report Error Discuss

Filed Under: Boats and Streams

61 19418

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.

Report Error

View Answer Report Error Discuss

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

15 19352

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

Report Error

View Answer Report Error Discuss

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

8 19350

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.

Report Error

View Answer Report Error Discuss

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

18 19326

Q:

A contractor undertakes to complete a work in 130 days. He employs 150 men for 25 days and they complete 1/4 of the work . He then reduces the number of men to 100, who work for 60 days, after which there are 10 days holidays.How many men must be employed for the remaining period to finish the work?

Answer

150 men in 25 days do = $\frac{1}{4}$ work

Let 1 man in 1 day does = x work

Total work done by 150 men in 25 days = 150x * 25 = $\frac{1}{4}$ work => x = $\frac{1}{15000}$

Therefore, 100 men in 60 days do = 100 * 60x = 6000x work = 6/15 = 2/5

Total work done = $\frac{1}{4} + \frac{2}{5} = \frac{13}{20}$

Therefore, Remaining work = 1 - $\frac{13}{20}$ = $\frac{7}{20}$

Remaining time = 130 - (25+60+10) = 35 days

Therefore, work is done in 25 days by 150 men.

Therefore, Work is done in 35 days by 150 men.

Hence, he should employ 50 more men.

Workspace

Report Error

View answer Workspace Report Error Discuss

Subject: Time and Work Exam Prep: Bank Exams , AIEEE
Job Role: Bank PO

47 19317

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links