6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

A) 10	B) 20
C) 40	D) 80

Answer & Explanation Answer: D) 80

Explanation:

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

6 3537

Q:

If x / y is an integer, which of the following statements need NOT always be true?

A) both x and y are integers	B) only x is a integer
C) both are negative	D) none

Answer & Explanation Answer: A) both x and y are integers

Explanation:

In case (A), x and y could, for example, both be equal fractions and x/y would be an integer.

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Filed Under: Numbers
Exam Prep: GRE

2 3534

Q:

In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?

A) 910	B) 1820
C) 455	D) 2730

Answer & Explanation Answer: A) 910

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT

6 3523

Q:

One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.

A) 1/3	B) 1/2
C) 1/4	D) 1/6

Answer & Explanation Answer: B) 1/2

Explanation:

Total number of elementary events = 52

There are 26 red cards,out of which one red card can be drawn in $26 C_{1}$ ways =26.

So,required probability = 26/52 = 1/2

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Filed Under: Probability

3 3521

Q:

A loan is made for $3500 with an interest rate of 9% and payments made annually for 4 years. What is the payment amount?

A) 8906	B) 1089
C) 1070	D) 1080.34

Answer & Explanation Answer: D) 1080.34

Explanation:

A=R[(1+i)^n-1]/i(1+i)^n

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

1 3520

Q:

In a single throw with 2 dices, what is probability of neither getting an even number on one and nor a multiple of 3 on other?

A) 11/36	B) 25/36
C) 5/6	D) 1/6

Answer & Explanation Answer: B) 25/36

Explanation:

We first calculate the probability of getting an even number on one and a multiple of 3 on other,Here, n(s) = 6x6 = 36 and

E = (2,3) (2,6) (4,3) (4,6) (6,3) (6,6) (3,2) (3,4)(3,6) (6,2)(6,4)

n(E) = 11P(E) = 11/36Required probability = 1-11/36 = 25/36

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Filed Under: Probability
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

17 3518

Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways.	B) 5,04,020 ways
C) 72,000 ways	D) None of the above

Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways

Remaining 7 letters can be arranged in 7!/3! x 2! ways

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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

3 3518

Q:

A and B can together do a piece of work in 10 days. If A works with twice of his efficiency and B works with an efficiency 1/3rd less than his efficiency, then the work gets completed in 6 days. In how many days can A and B do the work alone respectively?

A) 40/3, 40	B) 20/3, 20
C) 30, 20/3	D) 50/3, 25

Quantitative Aptitude - Arithmetic Ability Questions

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