6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

For any two real numbers a and b.

$\sqrt{{(a - b)}^{2}} + \sqrt{{(b - a)}^{2}}$ is

A) always zero	B) never zero
C) positive only if a ≠ b	D) positive if an only if a > b

Answer & Explanation Answer: C) positive only if a ≠ b

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

1 29593

Q:

Find the next number in the series 141,137,146,130,155,119,...

A) 147	B) 168
C) 162	D) 182

Answer & Explanation Answer: B) 168

Explanation:

The pattern is -4, +9,-16, +25, -36

The next number=119+49=168

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

9 29584

Q:

3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: D) 12

Explanation:

Let the required no of working hours per day be x.

More pumps , Less working hours per day (Indirect Proportion)

Less days, More working hours per day (Indirect Proportion)

$\begin{array}{r} \begin{matrix} P u m p s & 4 : 3 \end{matrix} \\ \begin{matrix} D a y s & 1 : 2 \end{matrix} \end{array}\} ⋮ ⋮ 8 : x$

=> (4 * 1 * x) = (3 * 2 * 8)

=> x=12

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Filed Under: Chain Rule

47 29579

Q:

A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident

A) 30/100	B) 35/100
C) 45/100	D) 50/100

Answer & Explanation Answer: B) 35/100

Explanation:

Let A = Event that A speaks the truth

B = Event that B speaks the truth

Then P(A) = 75/100 = 3/4

P(B) = 80/100 = 4/5

P(A-lie) = $1 - \frac{3}{4}$ = 1/4

P(B-lie) = $1 - \frac{4}{5}$ = 1/5

Now, A and B contradict each other =[A lies and B true] or [B true and B lies]

= P(A).P(B-lie) + P(A-lie).P(B)

= $(\frac{3}{5} * \frac{1}{5}) + (\frac{1}{4} * \frac{4}{5}) = \frac{7}{20}$

= $(\frac{7}{20} * 100)$ = 35%

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Filed Under: Probability

64 29537

Q:

Select the figure which does NOT belong to the group.

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 29477

Q:

Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?

A) Rs. 45,000	B) Rs. 50,000
C) Rs. 70,000	D) Rs. 75,000

Answer & Explanation Answer: B) Rs. 50,000

Explanation:

Sekar: Rajeev: jatin = (25000×12+35000×12+45000×12):(35000×24) : (35000×12)

= 1260000 : 840000 : 420000

= 3 : 2 : 1.

Rajeev's Share =Rs.(150000×2/6)

=Rs.50000.

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Filed Under: Partnership

30 29445

Q:

The perimeter of a square is 22 cm. Find its area (in cm2).

A) 60.5	B) 22.5
C) 45	D) 30.25

Answer & Explanation Answer: D) 30.25

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 29434

Q:

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

$68 x \sqrt{?} - 3421 = 591$

A) 3249	B) 3481
C) 3364	D) 3136

Answer & Explanation Answer: B) 3481

Explanation:

$68 x \sqrt{?} - 3421 = 591 \sqrt{?} = 4012 / 68 ? = 59 x 59 ? = 3481$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams

0 29414

Quantitative Aptitude - Arithmetic Ability Questions

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