6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ?

A) 186	B) 144
C) 136	D) 120

Answer & Explanation Answer: D) 120

Explanation:

In given word OLIVER there are 3 vowels E, I & O. These can be arranged in only one way as dictionary order E, I & O.

There are 6 letters in thegiven word.

First arrange 3 vowels.

This can be done in 6C3 ways and that too in only one way.(dictionary order E, I & O)

Remaining 3 letters can be placed in 3 places = 3! ways

Total number of possible ways of arranging letters of OLIVER = 3! x ${}^{6}C_{3}$ ways = 6x5x4 = 120 ways.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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11 7399

Q:

How many ways are there to deal a five-card hand consisting of three eight's and two sevens?

A) 36	B) 72
C) 24	D) 16

Answer & Explanation Answer: C) 24

Explanation:

If a card hand that consists of four Queens and an Ace is rearranged, nothing has changed.

The hand still contains four Queens and an Ace. Thus, use the combination formula for problems with cards.

We have 4 eights and 4 sevens.

We want 3 eights and 2 sevens.

C(have 4 eights, want 3 eights) x C(have 4 sevens, want 2 sevens)

C(4,3) x C(4,2) = 24

Therefore there are 24 different ways in which to deal the desired hand.

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Filed Under: Permutations and Combinations

1 7393

Q:

A, B and C started a company where their initial investments was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit of the company ?

A) Rs. 9500	B) Rs. 10600
C) Rs. 7500	D) Rs. 8900

Answer & Explanation Answer: A) Rs. 9500

Explanation:

Given initial investments ratio = 2 : 3 : 4

At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment

i.e, upto 6 months A's investment is 2 and after 6 months his invstment is 3 = B's investment

Now, Ratio of investment for one year

=> A : B : C = (2×6 + 3×6) : (3×12) : (4×12)

= 30 : 36 : 48

= 5 : 6 : 8

But given B's profit = 3000

=> 6 ratio = 3000

For total => 19 ratio = Rs. 9500.

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

7 7393

Q:

Course materials are sent to students by a distance teaching institution. The probability that they will send a wrong programme’s study material is 1/5. There is a probability of 3/4 that the package is damaged in transit, and there is a probability of 1/3 that there is a short shipment. What is the probability that the complete material for the course arrives without any damage in transit?

A) 4/5	B) 2/3
C) 1/2	D) 2/15

Answer & Explanation Answer: D) 2/15

Explanation:

Probability of sending the correct material is 4/5

Probability of the material not being damaged in transit is 1/4

Probability that there is no short shipment = 2/3

∴ Required probability =4/5 x 1/4 x 2/3 = 2/15

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Filed Under: Quantitative Aptitude - Arithmetic Ability

2 7391

Q:

If $\sqrt{18225} = 135$ , then the value of $(\sqrt{182.25} + \sqrt{1.8225} + \sqrt{0.018225} + \sqrt{0.00018225})$ is:

A) 1.49985	B) 14.9985
C) 149.985	D) 1499.85

Answer & Explanation Answer: B) 14.9985

Explanation:

Given exp = $\sqrt{\frac{18225}{10^{2}}} + \sqrt{\frac{18225}{10^{4}}} + \sqrt{\frac{18225}{10^{6}}} + \sqrt{\frac{18225}{10^{8}}}$

= $\frac{\sqrt{18225}}{10} + \frac{\sqrt{18225}}{10^{2}} + \frac{\sqrt{18225}}{10^{3}} + \frac{\sqrt{18225}}{10^{4}}$

= $\frac{135}{10} + \frac{135}{100} + \frac{135}{1000} + \frac{135}{10000}$

= 13.5+1.35+0.135+0.0135=14.9985

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Filed Under: Square Roots and Cube Roots

25 7371

Q:

Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk?

A) 3 : 2	B) 2 : 1
C) 1 : 2	D) 2 : 3

Answer & Explanation Answer: A) 3 : 2

Explanation:

% of milk in first bottle = 64%

% of milk in second bottle = 100 - 26 = 74%

Now, ATQ

64% 74%

68%

6 4

Hence, by using allegation method,

Required ratio = 3 : 2

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

11 7362

Q:

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

A) 21 m	B) 26 m
C) 28m	D) 29m

Answer & Explanation Answer: C) 28m

Explanation:

A : B = 100 : 75

B : C = 100 : 96.

A : C = (A/B*B/C) = (100/75*100/96) = 100/72 =100:72

A beats C by (100 - 72) m = 28 m.

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Filed Under: Races and Games

24 7355

Q:

Determine the exact and ordinary simple interest on a 90-day loan of $8000 at $8 \frac{1}{2}$ %

A) 150$	B) $160
C) $170	D) $180

Answer & Explanation Answer: C) $170

Explanation:

Exact interest, I= prt = $8000 × 0.085 × 90/365 = 167.67

Ordinary Interest, I= Prt = $8000 x 0.085 x 90/360 = 170

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

1 7352

Quantitative Aptitude - Arithmetic Ability Questions

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