6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A man walking at the speed of 4 kmph crosses a square field diagonally in 3 meters.The area of the field is

A) 10000	B) 20000
C) 30000	D) 40000

Answer & Explanation Answer: B) 20000

Explanation:

speed of the man = 4 x (5/18) m/sec = 10/9 m/sec

time taken = 3 x 60 sec = 180 sec

length of diagonal = speed x time = (10/9) x 180 = 200m

Area of the field = (1/2) x (dioagonal)²

= (1/2) x 200 x 200 sq.m = 20000sq.m

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Filed Under: Area
Exam Prep: Bank Exams
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6 15111

Q:

Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin

A) 24.5	B) 25.5
C) 26.5	D) 27.5

Answer & Explanation Answer: A) 24.5

Explanation:

If Rahul age is x, then Sachin age is x - 7,

so, (x-7)/x =7/9

$\Rightarrow$ 9x - 63 = 7x
$\Rightarrow$ 2x = 63
$\Rightarrow$ x = 31.5

So Sachin age is 31.5 - 7 = 24.5

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Filed Under: Problems on Ages

60 15106

Q:

8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :

A) 8/39	B) 15/39
C) 12/13	D) None of these

Answer & Explanation Answer: B) 15/39

Explanation:

P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)

= $1 - (\frac{16_{C_{1}} \times 14_{C_{1}} \times 12_{C_{1}} \times 10_{C_{1}}}{16_{C_{4}}}) = \frac{15}{39}$

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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64 15067

Q:

Choose the CORRECT option about the two tangents drawn to the circle from the external point?

(1) The tangents subtend equal angles at the centre of the circle.

(2) The tangents drawn from the external point to a circle are equal in length.

(3) The tangents are equally inclined to the segment which joins the centre to that point.

A) 1 and 2 only	B) 2 and 3 only
C) 1, 2 and 3	D) 1 and 3 only

Answer & Explanation Answer: C) 1, 2 and 3

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

0 15042

Q:

Two concentric circles form a ring. The inner and outer circumference of the ring are 352/7 m and 528/7m respectively.Find the width of the ring.

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

Answer & Explanation Answer: B) 4

Explanation:

let the inner and outer radii be r and R meters
then, $2 πr$ = 352/7

=> r = (352/7) * (7/22) * (1/2) = 8m
$2 πR$ = 528/7

=> R= (528/7) * (7/22) * (1/2)= 12m
width of the ring = R-r = 12-8 = 4m

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Filed Under: Area
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5 15039

Q:

A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3. What is the probability that only one of them is selected?

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

Answer & Explanation Answer: C) 2/5

Explanation:

Probability that only one of them is selected = (prob. that brother is selected) × (prob. that sister is not selected) + (Prob. that brother is not selected) × (Prob. that sister is selected)

= $(\frac{1}{5} * \frac{2}{3}) + (\frac{4}{5} * \frac{1}{3})$ = $\frac{2}{5}$

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Filed Under: Probability

14 15033

Q:

The LCM of the three numbers 16, 28 and 42 is

A) 168	B) 2
C) 252	D) 336

Answer & Explanation Answer: D) 336

Explanation:

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

1 15006

Q:

If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?

A) Rs. 20	B) Rs. 24
C) Rs. 26	D) Rs. 29

Answer & Explanation Answer: A) Rs. 20

Explanation:

Let the original price of rice be Rs. x

Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs

From given data, for Rs. 500

x ---- R kgs

(x + 25x/100) ---- (R - 5) kgs

=> Rx = (R - 5)(x + 25x/100)

=> Rx = (R - 5)(125x/100)

=> 100Rx = 125Rx - 625x

=> R = 25

So at rate of Rs. x/kg, man get 25 kgs for Rs. 500

=> x = 500/25 = Rs. 20

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
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21 14999

Quantitative Aptitude - Arithmetic Ability Questions

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