6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained ?

Answer

Let us first calculate the cost of price of the mixture. the selling price of the mixture is given as Rs.96 and the profit is given as 20%. So, Cost price = $\frac{100}{120} \times 96$ = Rs. 80

Now, let us apply allegation method :

= 40 : 20 = 2 : 1

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Subject: Alligation or Mixture

9 7998

Q:

What would be the least number of years in which the simple interest on Rs.2600 at % will be an exact number of rupees ?

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

Answer & Explanation Answer: B) 3

Explanation:

$S . I = R s . [2600 * \frac{20}{3} * \frac{1}{100} * t]$

$S . I = R s . [\frac{520}{3} * t]$

t=3

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

6 7982

Q:

Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ?

A) Both are equally good	B) 9 3/4% stock at 117
C) Cannot be compared, as the total amount of investment is not given	D) 11% stock at 143

Answer & Explanation Answer: B) 9 3/4% stock at 117

Explanation:

Let investment in each case be Rs. (143 x 117).

Income in 1st case = Rs. $\frac{11}{143}$ x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs. $\frac{39}{4 \times 117}$ x 143 x 117= Rs. 1394.25

Clearly, 9 3/4% stock at 117 is better.

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Filed Under: Stocks and Shares
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

11 7973

Q:

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is

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

Answer & Explanation Answer: A) 2years

Explanation:

Amount = Rs(30000 + 4347) = Rs.34347.

Let the time be n years. Then,

$30000 {[1 + \frac{7}{100}]}^{n} = 34347$

$\Leftrightarrow$ ${(\frac{107}{100})}^{n} = \frac{34347}{30000} = \frac{11449}{10000} = {(\frac{107}{100})}^{2}$

n= 2years.

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

1 7970

Q:

What will be the value of ${(25.732)}^{2} - {(15.732)}^{2}$

A) 214.64	B) 314.64
C) 414.64	D) 412.64

Answer & Explanation Answer: C) 414.64

Explanation:

Can be easily solved with following formula

$(a^{2} - b^{2}) = (a - b) \times (a + b)$

= (25.732 - 15.732 ) x (25.732 + 15.732)

=414.64

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Filed Under: Decimal Fractions

8 7965

Q:

if $\log_{10} 5 + \log (5 x + 1) = \log_{10} (x + 5) + 1, t h e n x i s e q u a l t o$

A) 1	B) 3
C) 5	D) 10

Answer & Explanation Answer: B) 3

Explanation:

$\log_{10} 5 + \log (5 x + 1) = \log_{10} (x + 5) + 1$

$\log_{10} [5 (5 x + 1)] = \log_{10} [10 (x + 5)]$

$5 (5 x + 1) = 10 (x + 5)$

5x+1=2x+10

3x=9

x=3

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Filed Under: Logarithms
Exam Prep: Bank Exams
Job Role: Bank PO

29 7948

Q:

Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?

A) 25 years	B) 24 years
C) 23 years	D) 22 years

Answer & Explanation Answer: C) 23 years

Explanation:

Ayush's present age = 10 years.
His mother's present age = (10 + 20) years = 30 years.
Ayush's father's present age = (30 + 5) years = 35 years.
Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.

Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.

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

11 7946

Q:

Find the perimeter of the rectangle or square with the given dimensions l = 5 feet, w = 2 feet?

A) 11ft	B) 13ft
C) 14ft	D) 15ft

Answer & Explanation Answer: C) 14ft

Explanation:

We know that,

Perimeter of rectangle = 2(L+W) = 2(5 + 2) = 2 (7) = 14 fts.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

1 7946

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