6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$∆ XYZ is right angled at Y . If m ∠ Z = 60 °, then find the value of (cotX - 1 / 3) .$

A) (3√3-1)/3	B) (2√3-√6)/2√2
C) -5/3	D) (2-√3)/2√3

Answer & Explanation Answer: A) (3√3-1)/3

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Walking at a speed of 10 km/hr, Madhu reaches her university 15 minutes late. Next time she increases her speed by 2 km/hr, but she is still late by 5 minutes. The distance of the university from her house is:

A) 15 km	B) 30 km
C) 20 km	D) 10 km

Answer & Explanation Answer: D) 10 km

Explanation:

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE

12 3589

Q:

If the difference between the mode and median is 2, then the difference between the median and mean is:

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

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

33 3587

Q:

An engineering student has to secure 24% marks to pass. He gets 61 and fails by 29 marks. What is the maximum marks for that exam?

A) 375 marks	B) 400 marks
C) 425 marks	D) 450 marks

Answer & Explanation Answer: A) 375 marks

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

A) 205	B) 194
C) 209	D) 159

Answer & Explanation Answer: C) 209

Explanation:

We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys).

Required number of ways = ( ${}^{6}C_{1} \times {}^{4}C_{3}$ ) + $({}^{6}C_{2} \times {}^{4}C_{2})$ + ( ${}^{6}C_{3} \times {}^{4}C_{1}$ ) + ( ${}^{6}C_{4}$ )

= (24+90+80+15)

= 209.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

7 3576

Q:

Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A) 1/5	B) 1/7
C) 1/6	D) 1/9

Answer & Explanation Answer: C) 1/6

Explanation:

Out of 9 persons,4 can be choosen in $9 C_{4}$ ways =126.

Favourable events for given condition = $2 C_{2} * 7 C_{2}$ = 21.

So,required probability = 21/126 =1/6.

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Filed Under: Probability

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Q:

In a mixture of 60 litres, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?

A) 42 Litres	B) 56 Litres
C) 60 Litres	D) 77 Litres

Answer & Explanation Answer: C) 60 Litres

Explanation:

Ratio of milk and water = 2 : 1
Quantity of milk = 60 X 2/3 = 40 litre
Quantity of water = 20 litre
To make ratio, 1: 2, we have to double the water that of milk
So, water should be 80 litre.
That means 80 – 20 = 60 litre water to be added.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

What is $\frac{1}{5}$ as a decimal?

A) 0.333	B) 0.666
C) 0.200	D) 0.452

Answer & Explanation Answer: C) 0.200

Explanation:

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place.

$Divide numerator and denominator with' 2' \frac{1}{5} x \frac{2}{2} = \frac{2}{10} = 0.2$

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Quantitative Aptitude - Arithmetic Ability Questions

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