6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Solve the following

23 - [23 - {23 - (23 - 23 + 23)}]

A) -1	B) 23
C) 1	D) 0

Answer & Explanation Answer: D) 0

Explanation:

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0 27813

Q:

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of $\frac{a^{2} + b^{2} + c^{2}}{3}$ is :

A) M	B) 3 M^2
C) 2 (M/3)	D) M^2

Answer & Explanation Answer: B) 3 M^2

Explanation:

We have : ( a + b + c) / 3 = M or (a + b + c) = 3M.

Now. ${(a + b + c)}^{2} = {(3 M)}^{2} = 9 M^{2}$ .

$< = > a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a) = 9 M^{2}$

$a^{2} + b^{2} + c^{2} = 9 M^{2}, (a b + b c + c a = 0)$

Required mean = $(\frac{a^{2} + b^{2} + c^{2}}{3}) = \frac{9 M^{2}}{3} = 3 M^{2}$ .

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Exam Prep: AIEEE , Bank Exams , CAT
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35 27805

Q:

Select the option that can replace the '?' symbol in the following equation.

122 + 345 - 1 x 1011 $\div$ 337 = ?

A) 446	B) 644
C) 460	D) 464

Answer & Explanation Answer: D) 464

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Q:

A and B can do a piece of work in 40 and 50 days. If they work at it an alternate days with A beginning in how many days, the work will be finished ?

Answer

(A+B)'s two days work = $\frac{1}{40} + \frac{1}{50} = \frac{9}{200}$

Evidently, the work done by A and B duing 22 pairs of days

i.e in 44 days = $22 \times \frac{9}{200} = \frac{198}{200}$

Remaining work = $1 - \frac{198}{200}$ = 1/100

Now on 45th day A will have the turn to do 1/100 of the work and this work A will do in $40 \times \frac{1}{100} = \frac{2}{5}$

Therefore, Total time taken = 44 $\frac{2}{5}$ daya

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Subject: Time and Work
Job Role: Bank PO

71 27790

Q:

∆XYZ is right angled at Y. If cotX = 5/12, then what is the value of secZ ?

A) 5/12	B) 13/5
C) 13/12	D) 12/5

Answer & Explanation Answer: C) 13/12

Explanation:

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Q:

Solve the following :

$\{38 - (60 \div 5 x 16 - 8 \div 2 \div 3)\} = ?$

A) 22	B) 29
C) 30	D) 37

Answer & Explanation Answer: A) 22

Explanation:

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Q:

A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ?

A) 45/7 %	B) 50/9 %
C) 51/7 %	D) 47/ 9 %

Answer & Explanation Answer: B) 50/9 %

Explanation:

Let sum = S. Then, amount = 7S/6

S.I. = 7S/6 - S = S/6; Time = 3 years.

Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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26 27756

Q:

Compute of 15872/32/4 = ?

A) 142	B) 1984
C) 124	D) 1948

Quantitative Aptitude - Arithmetic Ability Questions

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