6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:

A) 9 cm	B) 18 cm
C) 20 cm	D) 41 cm

Answer & Explanation Answer: B) 18 cm

Explanation:

$l^{2} + b^{2}$ = ${(d i a g o n a l)}^{2}$ =40

Also, lb=20

${(l + b)}^{2} = l^{2} + b^{2} + 2 l b$ = 41 + 40 =81

(l + b) = 9.

Perimeter = 2(l + b) = 18 cm.

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Filed Under: Volume and Surface Area

48 35349

Q:

If x is 80% of y, then what percent of 2x is y?

A) 65.5 %	B) 64.5 %
C) 63.5 %	D) 62.5 %

Answer & Explanation Answer: D) 62.5 %

Explanation:

x = 80 % of y

=> x =(80/100 )y

=> y/x = 5/4

Required percentage = [(y/2x)*100] % = (5/8*100) % =62.5%

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Filed Under: Percentage

96 35244

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 35193

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 35111

Q:

The $C O_{2}$ emissions in million metric tons over 3 years are given in the following table.

What is the increase in the percentage of $C O_{2}$ emission from year 2016 to 2017?

A) 36.36%	B) 26.36%
C) 63.63%	D) 36.45%

Answer & Explanation Answer: A) 36.36%

Explanation:

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

1 35106

Q:

In the following question, select the odd word from the given alternatives.

A) Ball	B) Bat
C) Wickets	D) Ground

Answer & Explanation Answer: D) Ground

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 35100

Q:

Find the odd word/letters/number pair from the given alternatives.

(A) Fire (B) Light (C) Gas (D) Water

A) A	B) B
C) C	D) D

Answer & Explanation Answer: D) D

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 35095

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 35042

Quantitative Aptitude - Arithmetic Ability Questions

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