6500+ Quantitative Aptitude Questions and Answers With Explanation

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 11390

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 11371

Q:

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

A) 3	B) 4
C) 5	D) 6

Answer & Explanation Answer: B) 4

Explanation:

$P {(1 + \frac{20}{100})}^{n} > 2 P \Leftrightarrow {(\frac{6}{5})}^{n} > 2$

$(\frac{6}{5} \times \frac{6}{5} \times \frac{6}{5} \times \frac{6}{5}) > 2$

so, answer is 4 years

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

16 11369

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 11367

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

Answer & Explanation Answer: C) 1/3

Explanation:

Total number =6

Getting a 'multiple of 3' = 2 . So, probability = 2/6 =1/3

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Filed Under: Probability

15 11366

Q:

At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ?

A) 5%	B) 6%
C) 4%	D) 3%

Answer & Explanation Answer: A) 5%

Explanation:

Given compound interest for 3 years = Rs. 1513.2

and simple interest for 5 years = Rs. 2400

Now, we know that C.I = $[P {(1 + \frac{R}{100})}^{n} - 1]$

=> 1513.2 = $[P {(1 + \frac{R}{100})}^{3} - 1]$ ...........(A)

And S.I = PTR/100

=> 2400 = P5R/100 ..................(B)

By solving (A) & (B), we get

R = 5%.

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

18 11353

Q:

Four dice are thrown simultaneously. Find the probability that two of them show the same face and remaining two show the different faces.

A) 4/9	B) 5/9
C) 11/18	D) 7/9

Answer & Explanation Answer: B) 5/9

Explanation:

Select a number which ocurs on two dice out of six numbers (1, 2, 3, 4, 5, 6). This can be done in ${}^{6}C_{1}$ , ways.

Now select two distinct number out of remaining 5 numbers which can be done in ${}^{5}C_{2}$ ways. Thus these 4 numbers can be arranged in 4!/2! ways.

So, the number of ways in which two dice show the same face and the remaining two show different faces is

${}^{6}C_{1} \times {}^{5}C_{2} \times \frac{4!}{2!} = 720$

=> n(E) = 720

$∴ P (E) = \frac{720}{6^{4}} = \frac{5}{9}$

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Filed Under: Probability

8 11342

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 11342

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