6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

When $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$ is divided by 25 the remainder is:

A) 5	B) 17
C) 7	D) 0

Answer & Explanation Answer: D) 0

Explanation:

Given, $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$

$7^{21}$ (1 + 7 + 49 + 343)
$7^{21}$ (400)

Now, 400 is divisible by 25. The remainder will be 0

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

2 4889

Q:

Mr. and Mrs. Espedido’s property taxes, amounting to $2450, are due on July 1.What amount should the city accept if the taxes are paid eight months in advance and the city can earn 6% compounded monthly on surplus funds?

A) 2354.17	B) 2354
C) 2376	D) 2389

Answer & Explanation Answer: A) 2354.17

Explanation:

i=j/m

PV= FV(1+ i)^-n

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

1 4881

Q:

The number of solutions of the equation $l o g_{\frac{x}{2}} (x^{2}) + 40 l o g_{4 x} (\sqrt{x}) - 14 l o g_{16 x} (x^{3}) = 0$ is:

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: D) 3

Explanation:

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

14 4881

Q:

How many four digits numbers greater than 6000 can be made using the digits 0, 4, 2, 6 together with repetition.

A) 64	B) 63
C) 62	D) 60

Answer & Explanation Answer: B) 63

Explanation:

Given digits are 0, 4, 2, 6

Required 4 digit number should be greater than 6000.

So, first digit must be 6 only and the remaining three places can be filled by one of all the four digits.

This can be done by

1x4x4x4 = 64

Greater than 6000 means 6000 should not be there.

Hence, 64 - 1 = 63.

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

18 4877

Q:

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A) 54	B) 64
C) 63	D) 36

Answer & Explanation Answer: C) 63

Explanation:

Required number of ways = $(7 C_{5} \times 3 C_{2}) = 63$

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Filed Under: Permutations and Combinations

0 4874

Q:

The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?

A) 12.50 cm	B) 14.21 cm
C) 15.98 cm	D) 17.08 cm

Answer & Explanation Answer: D) 17.08 cm

Explanation:

Let the length of the rectangle = L cm

Then the breadth of the rectangle = (L - 10) cm

Perimeter of a rectangle = 2(L + B) cm

=> 44 = 2(L + L - 10)

=> 44 = 4L - 20

=> 4L = 64

=> L = 16 cm

=> B = L - 10 = 6 cm

Diagonal = $\sqrt{L^{2} + B^{2}}$ = $\sqrt{16^{2} + 6^{2}}$ = 17.08 cm

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

11 4868

Q:

One hour is what percent of a day?

A) 5.6%	B) 4.16%
C) 3.35%	D) 6.7%

Answer & Explanation Answer: B) 4.16%

Explanation:

A day has 24 hrs

=> If 24 hrs - 100

Then 1 hr = ?

100/24 = 4.16%

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

31 4865

Q:

M can complete a piece of work in 10 days. N is 33.33% less efficient than M. calculate the number of days required to both to complete the work?

A) 6 days	B) 8 days
C) 11 days	D) 13 days

Answer & Explanation Answer: A) 6 days

Explanation:

M = 10 days

The ratio of efficiency of M & N are 3 : 2

Hence, the time rquired for N alone = 15 days

=> Required time taken t=by both to complete the work = M x N / M + N

= 10 x 15/ 10 + 15

= 150/25

= 6 days.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

16 4862

Quantitative Aptitude - Arithmetic Ability Questions

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