6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If log 2 = 0.30103, Find the number of digits in 2⁵⁶ is

A) 17	B) 19
C) 23	D) 25

Answer & Explanation Answer: A) 17

Explanation:

$\log (2^{56})$ =56*0.30103 =16.85768.

Its characteristics is 16.

Hence, the number of digits in $2^{56}$ is 17.

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Filed Under: Logarithms
Exam Prep: Bank Exams
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120 58677

Q:

If the radius of a circle is decreased by 50%, find the percentage decrease in its area.

A) 55%	B) 65%
C) 75%	D) 85%

Answer & Explanation Answer: C) 75%

Explanation:

Let original radius = R.

New radius = $\frac{50}{100} R$ = $\frac{50}{100} R$

Original area = $\frac{R}{2}$ and new area = ${πR}^{2}$

$\frac{3 {πR}^{2}}{4} * \frac{1}{{πR}^{2}} * 100$

Decrease in area = $π {(\frac{R}{2})}^{2} = \frac{{πR}^{2}}{4}$ = 75%

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

147 58616

Q:

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A) 3/13	B) 1/13
C) 3/52	D) 9/52

Answer & Explanation Answer: A) 3/13

Explanation:

Clearly, there are 52 cards, out of which there are 12 face cards.

P (getting a face card) = 12/52=3/13.

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Filed Under: Probability

100 58528

Q:

Which of the following statement(s) is/are true?

$I . {(65)}^{1 / 6} > {(17)}^{1 / 4} > {(12)}^{1 / 3} II . {(17)}^{1 / 4} > {(65)}^{1 / 6} > {(12)}^{1 / 3} III . {(12)}^{1 / 3} > {(17)}^{1 / 4} > {(65)}^{1 / 6}$

A) Only I	B) Only III
C) Only II	D) None of these

Answer & Explanation Answer: B) Only III

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 58507

Q:

Question :

What is the sum which earned interest ?

Statements :

a. The total simple interest was Rs. 9000 after 9 years.
b. The total of sum and simple interest was double of the sum after 6 years.

A) Only a is sufficient	B) Neither a nor b is sufficient
C) Only b is sufficient	D) Both a and b sufficient

Answer & Explanation Answer: D) Both a and b sufficient

Explanation:

Let the sum be Rs. x

a. gives, S.I = Rs. 9000 and time = 9 years.

b. gives, Sum + S.I for 6 years = 2 x Sum

--> Sum = S.I for 6 years.

Now, S.I for 9 years = Rs. 9000

S.I for 1 year = Rs. 9000/9 = Rs. 1000.

S.I for 6 years = Rs. (1000 x 6)= Rs. 6000.

--> x = Rs. 6000

Thus, both a and b are necessary to answer the question.

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Filed Under: Simple Interest
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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6 58226

Q:

Directions: What value should come in place of question mark (?) in the following question?

150% of 460+24% of 650=?

A) 854	B) 846
C) 895	D) 825

Answer & Explanation Answer: B) 846

Explanation:

(150 x 460)/100 + (24 x 650)/100

= 690+156

= 846

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , GATE

0 58063

Q:

A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is

A) 10000	B) 20000
C) 40000	D) 50000

Answer & Explanation Answer: B) 20000

Explanation:

Let sum=Rs.x

C.I. when compounded half yearly = $[x {(1 + \frac{10}{100})}^{4} - x] = \frac{4641}{10000}$

C.I. when compounded annually = $[x {(\frac{20}{100})}^{2} - x] = \frac{11}{25}$

$\frac{4641}{10000} x - \frac{11}{25} x = 482$

=> x=20000

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

278 57949

Q:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

A) 100 %	B) 200%
C) 300%	D) 600%

Answer & Explanation Answer: B) 200%

Explanation:

Let the salaries of A, B, C be x, 2x and 3x respectively.

Then,2x + 3x = 6000 => x = 1200.

A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.

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Filed Under: Ratios and Proportions

144 57948

Quantitative Aptitude - Arithmetic Ability Questions

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