6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

A) 136/345	B) 17/87
C) 316/435	D) 158/435

Answer & Explanation Answer: C) 316/435

Explanation:

$n (s) = {}^{30}C_{2}$

Let A be the event of getting two oranges and

B be the event of getting two non-defective fruits.

and $(A \cap B)$ be the event of getting two non-defective oranges

$∴ P (A) = \frac{{}^{20}C_{2}}{{}^{30}C_{2}}, P (B) = \frac{{}^{22}C_{2}}{{}^{30}C_{2}} a n d P (A \cap B) = \frac{{}^{15}C_{2}}{{}^{30}C_{2}}$

$∴ P (A \cup B) = P (A) + P (B) - P (A \cap B)$

= $\frac{{}^{20}C_{2}}{{}^{30}C_{2}} + \frac{{}^{22}C_{2}}{{}^{30}C_{2}} - \frac{{}^{15}C_{2}}{{}^{30}C_{2}} = \frac{316}{435}$

Report Error

View Answer Report Error Discuss

Filed Under: Probability

109 48590

Q:

If the perimeter of a semicircle is 72 cm, then find its area (in cm²).

A) 308	B) 616
C) 160	D) 320

Answer & Explanation Answer: A) 308

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams

0 48540

Q:

A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?

A) 6 min.to empty	B) 6 min.to fill
C) 9 min.to empty	D) 9 min.to fill

Answer & Explanation Answer: A) 6 min.to empty

Explanation:

Clearly,pipe B is faster than pipe A and so,the tank will be emptied.

part to be emptied = 2/5

part emptied by (A+B) in 1 minute= $(\frac{1}{6} - \frac{1}{10}) = \frac{1}{15}$

$\frac{1}{15} : \frac{2}{5} : : 1 : x$

$\frac{2}{5} * 15 = 6 m i n s$

so, the tank will be emptied in 6 min

Report Error

View Answer Report Error Discuss

Filed Under: Pipes and Cistern

87 48537

Q:

∆DEF is right angled at E. If tanD = 12/5, then what is the value of secF ?

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

Answer & Explanation Answer: D) 13/12

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 48478

Q:

If LMN and UVW are similar triangles, the value of side s is

A) 4	B) 6
C) 8	D) 9

Answer & Explanation Answer: C) 8

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams

0 48430

Q:

What will come in place of question mark in the following equation ?

54.(?)3 + 543 + 5.43 = 603.26

A) 6	B) 1
C) 9	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83

Missing digit = 8..

Report Error

View Answer Report Error Discuss

Filed Under: Decimal Fractions

11 48394

Q:

Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.

A) 612	B) 712
C) 812	D) 912

Answer & Explanation Answer: A) 612

Explanation:

Amount = Rs [7500*(1+(4/100)2] = Rs (7500 * (26/25) * (26/25) ) = Rs. 8112.
therefore, C.I. = Rs. (8112 - 7500) = Rs. 612.

Report Error

View Answer Report Error Discuss

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

59 48284

Q:

In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ?

A) 1/2	B) 3/4
C) 4/5	D) 2/5

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links