6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ?

A) 13.33 %	B) 14.25 %
C) 16.98 %	D) 18.75 %

Answer & Explanation Answer: D) 18.75 %

Explanation:

Given,
S.I = 3 Principal Amount
=> 3A = A x 16 x R/100
By solving, we get
=> R = 18.75%

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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7 5274

Q:

At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?

A) 4.58 %	B) 5.96 %
C) 6.52 %	D) 4.98 %

Answer & Explanation Answer: B) 5.96 %

Explanation:

Difference in amount = 514 - 415 = 99

99 = (415 x 4 x R)/100

R = 5.96%

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Filed Under: Simple Interest
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5 5274

Q:

Find the sum of the all the numbers formed by the digits 2,4,6 and 8 without repetition. Number may be of any of the form like 2,24,684,4862 ?

A) 133345	B) 147320
C) 13320	D) 145874

Answer & Explanation Answer: B) 147320

Explanation:

Sum of 4 digit numbers = (2+4+6+8) x $P_{3}^{3}$ x (1111) = 20 x 6 x 1111 = 133320

Sum of 3 digit numbers = (2+4+6+8) x $P_{2}^{3}$ x (111) = 20 x 6 x 111 = 13320

Sum of 2 digit numbers = (2+4+6+8) x $P_{1}^{3}$ x (11) = 20 x 3 x 11 = 660

Sum of 1 digit numbers = (2+4+6+8) x $P_{0}^{3}$ x (1) = 20 x 1 x 1 = 20

Adding All , Sum = 147320

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

2 5273

Q:

$112 \times 5^{4} =$

A) 68947	B) 69874
C) 70000	D) 76000

Answer & Explanation Answer: C) 70000

Explanation:

$112 \times 5^{4} 112 \times {(\frac{10}{2})}^{4} = \frac{112 \times 10000}{2^{4}} = 1120000 / 16$

= 70,000.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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13 5272

Q:

63.5% of 8924.2 +? % of 5324.4 = 6827.5862

A) 28	B) 22
C) 18	D) 12

Answer & Explanation Answer: B) 22

Explanation:

63.5% of 8924.2 +? % of 5324.4 = 6827.5862

=> 63.5% of 8925 + ? % of 5325 = 6830

=> 6830 ~= 5320 + ?(5325)/100

=> ? ~= 22

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

6 5262

Q:

The TrueDiscount on a certain sum of money due 3 years hence is Rs.250 and SimpeInterest on the same sum for same time and same rate is Rs375. Find sum and rate%?

A) (16 + 4/3)%	B) (16 +1/3)%
C) (16 + 5/3)%	D) (16 + 2/3)%

Answer & Explanation Answer: D) (16 + 2/3)%

Explanation:

sum = [(S.I x T.D)/(S.I-T.D)] = Rs. [(375 x 250)/(375-250)] = Rs.750

Rate = (100 x 375)/(750 x 3) = $16 \frac{2}{3}$ %

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Filed Under: True Discount

0 5261

Q:

In a bag which contains 40 balls, there are 18 red balls and some green and blue balls. If two balls are picked up from the bag without replacement, then the probability of the first ball being red and second being green is 3/26. Find the number of blue balls in the bag.

A) 16	B) 12
C) 10	D) 14

Answer & Explanation Answer: B) 12

Explanation:

Total balls = 40

Red balls = 18

Let green balls are x

Then, (18/40) × (

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Filed Under: Probability
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49 5260

Q:

From a deck of 52 cards, a 5 card hand is dealt.How many distinct hands can be formed if there are atleast 2 queens?

A) 103336	B) 120000
C) 108336	D) 108333

Answer & Explanation Answer: C) 108336

Explanation:

The total possible cases would be a 5 card hand with no restrictions : $52 C_{5}$ 5

The unwanted cases are:

no queens(out of 48 non-queens cards we get 5) $48 C_{5}$

only 1 queen(out of 4 queens we get 1,and out of 48 non-queens we get 4) $4 C_{1} * 48 C_{4}$

Therefore, $52 C_{5} - (48 C_{5} + 4 C_{1} * 48 C_{4}) = 108336$

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Filed Under: Permutations and Combinations

2 5258

Quantitative Aptitude - Arithmetic Ability Questions

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