6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $3^{x - y} = 27$ , $3^{x + y} = 243$ then find the x value

A) 2	B) 8
C) 4	D) 1

Answer & Explanation Answer: C) 4

Explanation:

Given that $3^{x - y} = 27$ , $3^{x + y} = 243$

$\Rightarrow 3^{x - y} = 3^{3}, 3^{x + y} = 3^{5}$

=> x-y=3, x+y=5

=> x = 4

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Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank Clerk

15 11471

Q:

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

A) 4!/2!	B) 3!/2!
C) (4! x 3!) / 2!	D) 36

Answer & Explanation Answer: C) (4! x 3!) / 2!

Explanation:

ABACUS is a 6 letter word with 3 of the letters being vowels.

If the 3 vowels have to appear together, then there will 3 other consonants and a set of 3 vowels together.

These 4 elements can be rearranged in 4! Ways.

The 3 vowels can rearrange amongst themselves in 3!/2! ways as "a" appears twice.

Hence, the total number of rearrangements in which the vowels appear together are (4! x 3!)/2!

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Filed Under: Permutations and Combinations

3 11468

Q:

The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp

Answer

Actual average salary of 12 officers = 400

$\inline \fn_jvn \therefore$ Total salary of 12 officers = 400 x 12 = 4800

Average of these 12 officers as a whole =60

Total salary of 12 officers as a whole = 60 x 12 = 720

The total salary of rest = 4800 - 720 = 4080

Difference in average of the rest of officers = 60 - 56 = 4

Rest of the officers = $\inline \fn_jvn \frac{4080}{4}=1020$

Total number of employees = 1020 + 12 = 1032

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Subject: Average

51 11456

Q:

Rs 1000 is being charged at 50% per annum. what is the interest for 3rd year at compound interest?

A) 1122	B) 1025
C) 1125	D) 625

Answer & Explanation Answer: C) 1125

Explanation:

Total amount for two years = $1000 \times {(1.5)}^{2} = 2250$

Now , interest for third year = $\frac{2250 \times 50 \times 1}{100} = 1125$

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Filed Under: Compound Interest

16 11446

Q:

The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ?

A) 2 yrs	B) 4 yrs
C) 3 yrs	D) 5 yrs

Answer & Explanation Answer: A) 2 yrs

Explanation:

29 x 2 = 58
20 x 3 = 60
-----------
2 years

Therefore, the age of child is 2 years.

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

18 11422

Q:

If the product of 6 integers is negative, at most how many of the integers can be negative?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: D) 5

Explanation:

Multiplying two negatives (or any even multiple) results in a positive. But multiplying three negatives (or any odd multiple) gives a negative. If the result of multiplying 6 negatives is odd, the largest number of negative integers will be the largest odd number (i.e.5)

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Filed Under: Problems on Numbers
Exam Prep: GRE

11 11420

Q:

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

A) Rs. 185	B) Rs. 154
C) Rs. 200	D) Rs. 177

Answer & Explanation Answer: C) Rs. 200

Explanation:

Let the C.P be 'x'
Then, the selling price S.P = x - 16x/100
= 84x/100 = 21x/25
Now, if the S.P is 60 more, then the profit is 14%
=> 21x/25 + 60 = x + 14x/100
=> 114x/100 - 21x/25 = 60
=> (57 - 42)x/50 = 60
=> 15x/50 = 60
x = 3000/15 = 200

Therefore, the Cost price C.P = x = Rs. 200

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

9 11413

Q:

If an unbiased dice is rolled once, the odds in favour of getting a point which is multiple of 3 is:

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

Quantitative Aptitude - Arithmetic Ability Questions

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