6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing 1/3 of the task. Then, Sharan takes over and completees the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayuk' had worked faster than Sharan ?

A) 24	B) 45
C) 72	D) 30

Answer & Explanation Answer: B) 45

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

16 5038

Q:

Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ?

A) 84 yrs	B) 96 yrs
C) 116 yrs	D) 108 yrs

Answer & Explanation Answer: D) 108 yrs

Explanation:

Let the present ages of the mother and daughter be 2x and x years respectively.
Then, (2x - 18) = 3(x - 18) => x = 36
Required sum = (2x + x) = 108 years.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

6 5026

Q:

A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ?

A) 11/91

B) 4/11

C) 1/11

D) 90/91

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: D) Option D

Explanation:

Let S be the sample space. Then,
n(s) = number of ways of drawing 4 pearls out of 14

= $C_{4}^{14}$ ways = $\frac{14 \times 13 \times 12 \times 11}{4 \times 3 \times 2 \times 1}$ = 1001

Let E be the event of drawing 4 pearls of the same colour.
Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)

$\Rightarrow C_{1}^{5} + C_{4}^{4} + C_{1}^{5}$ = 5+1+5 =11

P(E) = $\frac{n (E)}{n (S)} = \frac{11}{1001} = \frac{1}{91}$

Required probability = $1 - \frac{1}{91} = \frac{90}{91}$

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

8 5023

Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time

A) Rs.51.25	B) Rs.61.25
C) Rs.51	D) Rs.42

Answer & Explanation Answer: A) Rs.51.25

Explanation:

Sum = Rs.(50*100)/2*5=Rs.500

Amount=Rs.[500*(1+5/100)2]

= Rs. 551.25

C.I = Rs.(551.25-500)= Rs.51.25

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

0 5020

Q:

At the beginning of March, Ryan had $621 in his savings bank account. On 10 March he deposited $60. If the bank pays 8% p.a. interest paid monthly and calculated on the minimum monthly balance, calculate the interest Ryan earns in March.

A) 2.14	B) 3.14
C) 5.14	D) 4.14

Answer & Explanation Answer: D) 4.14

Explanation:

I = (P x T x R) /100

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

2 5017

Q:

Mr. Rajan invested Rs 1,00,000 in US Stock Markets when the GBPINR rate was 75. After one year his investment appreciated by 20% in GBP terms. He sold of his investments and repatriated the money to India at the then existing rate of 80. what was real returns in INR?

A) loss of 24%	B) gain of 28%
C) loss of 28%	D) gain of 20%

Answer & Explanation Answer: B) gain of 28%

Explanation:

Money invested by Rajan before 1 year was = Rs. 100000

Money in UK pounds @ 75 is = 100000/75 = 1333.33 Pounds

Now, after 1 year invested amount was appreciated by 20%

=> 20% of 1333.33 = 266.66

Total investment becomes = 1333.33 + 266.66 = 1600 Pounds

This 1600 Pounds @ Indian currency at 80 = 1600 x 80 = Rs. 1,28,000

Hence, Rajan's investment of Rs. 1,00,000 becomes Rs. 1,28,000 in 1 year

Therefore, his profit % = [(128000 - 100000)/100000] x 100 = 28%.

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

9 5015

Q:

Find the cube root of 287496

A) 64	B) 46
C) 56	D) 66

Answer & Explanation Answer: D) 66

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

1 5013

Q:

The value of $(l o g_{5} (5)) (l o g_{4} (9)) (l o g_{3} (2)) i s :$

A) 1	B) 3/2
C) 2	D) 5

Quantitative Aptitude - Arithmetic Ability Questions

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