6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

(2,14,16), (3,21,24), (8,56,64), (5,35,41)

The set that does NOT belong to the group is

A) (5,35,41)	B) (2,14,16)
C) (3,21,24)	D) (8,56,64)

Answer & Explanation Answer: A) (5,35,41)

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 35055

Q:

The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached to college at the normal time. What is the changed (or increased) speed of Rajeev?

A) 28 km/h	B) 30 km/h
C) 40 km/h	D) 20 km/h

Answer & Explanation Answer: D) 20 km/h

Explanation:

Let the normal speed be x km/h, then

$\frac{80}{x} - \frac{80}{(x + 4)} = 1$

$\Rightarrow$ $x^{2} + 4 x - 320 = 0$

$\Rightarrow$ x (x + 20) - 16 (x + 20) = 0

(x + 20 ) (x - 16) =0

x = 16 km/h

Therefore (x + 4) = 20 km/h

Therefore increased speed = 20 km/h

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Filed Under: Time and Distance

55 35023

Q:

The sum of a proper fraction and its reciprocal is 61/30. Find the fraction.

A) 1/3	B) 5/6
C) 3/10	D) 3/5

Answer & Explanation Answer: B) 5/6

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 35001

Q:

A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

A) 24.52 litres	B) 29.63 litres
C) 28.21 litres	D) 25.14 litres

Answer & Explanation Answer: B) 29.63 litres

Explanation:

Given that container has 50 litres of milk.

After replacing 8 litres of milk with water for three times, milk contained in the container is:

$\Rightarrow [50 {(1 - \frac{8}{50})}^{3}]$

$\Rightarrow (50 \times \frac{42}{50} \times \frac{42}{50} \times \frac{42}{50})$ = 29.63 litres.

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Filed Under: Alligation or Mixture
Exam Prep: CAT
Job Role: Bank PO

51 34981

Q:

A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:

A) 12	B) 15
C) 18	D) 20

Answer & Explanation Answer: B) 15

Explanation:

Dividend on Rs. 20 = Rs. (9/100)x 20 = Rs.9/5.

Rs. 12 is an income on Rs. 100.

Rs.9/5 is an income on Rs.[ (100/12) x (9/5)] = Rs. 15.

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Filed Under: Stocks and Shares

41 34896

Q:

A box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains exactly one defective bulb.

A) 5/12	B) 7/12
C) 3/14	D) 1/12

Answer & Explanation Answer: A) 5/12

Explanation:

Total number of elementary events = $10 C_{5}$

Number of ways of selecting exactly one defective bulb out of 3 and 4 non-defective out of 7 is $3 C_{1} * 7 C_{4}$

So,required probability = $3 C_{1} * 7 C_{4}$ / $10 C_{5}$ = 5/12.

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Filed Under: Probability

66 34835

Q:

The circumference of a circle is 66 cm. Find its radius (in cm).

A) 21	B) 10.5
C) 4.5	D) 9

Answer & Explanation Answer: B) 10.5

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

4 34722

Q:

Consider the figure shown below and choose the correct option for the ratio of PA:PB.

A) r1 : r2 (internal)	B) r1 : r2 (external)
C) r2 : r1 (internal)	D) r2 : r1 (external)

Quantitative Aptitude - Arithmetic Ability Questions

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