6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ?

A) 14 cm	B) 13.5 cm
C) 12.5 cm	D) 11.4 cm

Answer & Explanation Answer: C) 12.5 cm

Explanation:

Let the required height of the building be x meter

More shadow length, More height(direct proportion)

Hence we can write as

(shadow length) 40.25 : 28.75 :: 17.5 : x
⇒ 40.25 × x = 28.75 × 17.5
⇒ x = 28.75 × 17.5/40.25
= 2875 × 175/40250
= 2875 × 7/1610
= 2875/230
= 575/46
= 12.5 cm

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Filed Under: Height and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

17 5450

Q:

What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?

A) Rs.600	B) Rs.601
C) Rs.602	D) Rs.603

Answer & Explanation Answer: C) Rs.602

Explanation:

PW = $\frac{A m o u n t}{{(1 + \frac{R}{100})}^{T}}$

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Filed Under: True Discount
Exam Prep: Bank Exams
Job Role: Bank PO

27 5448

Q:

From a deck of 52 cards, a 5 card hand is dealt.How many distinct hands can be formed if there are atleast 2 queens?

A) 103336	B) 120000
C) 108336	D) 108333

Answer & Explanation Answer: C) 108336

Explanation:

The total possible cases would be a 5 card hand with no restrictions : $52 C_{5}$ 5

The unwanted cases are:

no queens(out of 48 non-queens cards we get 5) $48 C_{5}$

only 1 queen(out of 4 queens we get 1,and out of 48 non-queens we get 4) $4 C_{1} * 48 C_{4}$

Therefore, $52 C_{5} - (48 C_{5} + 4 C_{1} * 48 C_{4}) = 108336$

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Filed Under: Permutations and Combinations

2 5446

Q:

$142^{2} \div \sqrt{1260.25} = ?$

A) 586	B) 578
C) 568	D) 566

Answer & Explanation Answer: C) 568

Explanation:

$142 x 142 x \frac{1}{\sqrt{1260.25}}$

=> $142 x 142 x \frac{1}{35.5} = 568$

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Filed Under: Simplification
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

4 5444

Q:

10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?

A) 4 : 6 : 3	B) 4 : 5 : 3
C) 2 : 4 : 3	D) 4 : 8 : 3

Answer & Explanation Answer: D) 4 : 8 : 3

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

4 5440

Q:

A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ?

A) 10 2/3 days	B) 13 1/5 days
C) 12 2/3 days	D) 11 5/7 days

Answer & Explanation Answer: B) 13 1/5 days

Explanation:

3/15 + 4/16 + x/24 = 1

$\Rightarrow x = 13 \frac{1}{5}$

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

3 5439

Q:

$(0.2 \times 0.2 + 0.01) {(0.1 \times 0.1 + 0.02)}^{- 1}$ is equal to

A) 5/3	B) 9/5
C) 41/4	D) 41/12

Answer & Explanation Answer: A) 5/3

Explanation:

Given expression = $\frac{(0.2 \times 0.2 \times 0.01)}{(0.1 \times 0.1 \times 0.02)} = \frac{0.04 + 0.01}{0.01 + 0.02} = \frac{0.05}{0.03} = \frac{5}{3}$

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Filed Under: Decimal Fractions

10 5439

Q:

A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A) 49 sq.m	B) 50 sq.m
C) 51 sq.m	D) 52 sq.m

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