6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In how many ways can the letters of the word 'LEADER' be arranged ?

A) 360	B) 420
C) 576	D) 220

Answer & Explanation Answer: A) 360

Explanation:

No. of letters in the word = 6
No. of 'E' repeated = 2
Total No. of arrangement = 6!/2! = 360

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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4 7973

Q:

A dishonest shopkeeper professes to sell his groceries at his cost price but uses a false weight of 900 grams for each kilogram. Find his gain percentage.

A) 91/9 %	B) 100/9%
C) 100/11 %	D) 95/9%

Answer & Explanation Answer: B) 100/9%

Explanation:

Shopkeeper sells at CP using weight of 900 gm instead of1 kg

So, 1000gm –900 gm = 100gm

⇒100/900 X 100

⇒100/9 %

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

5 7971

Q:

A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum ?

A) Rs.8000	B) Rs.6500
C) Rs.7500	D) Rs.5000

Answer & Explanation Answer: C) Rs.7500

Explanation:

$p = \frac{(d \times 100^{2})}{R^{2}}$

Where d is difference, r is rate of interest.

=> (48 x 100 x 100) / 8 x 8 = Rs.7500

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

6 7966

Q:

From a bunch of flowers having 16 red roses and 14 white roses, four flowers have to be selected. In how many different ways can they be selected such that at least one red rose is selected?

A) 27405	B) 26584
C) 26585	D) 27404

Answer & Explanation Answer: D) 27404

Explanation:

Given total 16 Red roses and 14 White roses = 30 roses

Four flowers have to be selected from 30 i.e, $C_{4}^{30}$ = 27405 Ways

Now, atleast one Red rose is selected i.e, 27405(total) - 1(all four are white roses) = 27404 ways.

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

10 7965

Q:

Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?

A) 40 km	B) 50 km
C) 70 km	D) 80 km

Answer & Explanation Answer: D) 80 km

Explanation:

Let the total distance be 'x' km.

Time taken to cover remaining 40% of x distance is $t 1 = \frac{40 \times x}{100 \times 48}$

But given time taken to cover first 60% of x distance is $t 2 = t 1 + \frac{20}{60} h r s$

$t 2 = \frac{60 \times x}{100 \times 48}$

$∴ \frac{60 \times x}{100 \times 48} = \frac{40 \times x}{100 \times 48} + \frac{20}{60}$

x=80 km.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank PO

12 7965

Q:

A number is selected from the numbers 1,2,3,4.......25.The probability for it to be divisible by 4 or 7 is:

A) 3/25	B) 9/25
C) 1/25	D) None of these

Answer & Explanation Answer: B) 9/25

Explanation:

Total numbers = 25

Numbers divisible by 4 or 7 are 4, 7, 8, 12, 14, 16, 20, 21, 24 = 9

The probability (divisible by 4 or 7) = 9/25

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Filed Under: Probability

3 7958

Q:

The Age of Ashok , Deepak and Ramu are in the proportion of 3:5:6. If the difference between the ages of Deepak and Ramu is 5 years . what is Ashok's age in years?

Answer

Suppose the ages of Ashok, Deepak and Ramu are 3x, 5x and 6x years respectively.

$6x-5x=5\: \: \Rightarrow x=5$

Hence , Ashok's age = $3x$ = $3\times 5$ = 15 years

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Subject: Problems on Ages

13 7958

Q:

In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?

A) 38 lit	B) 96 lit
C) 48 lit	D) 52 lit

Answer & Explanation Answer: C) 48 lit

Explanation:

Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

According to given data,

4x/3x+6 =8/7

28x=24x+48

28x–24x=48

4x = 48

x = 12

Amount of juice = 4x = 4×12 = 48 litre.

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

7 7955

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