6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):

A) 200, 250, 300	B) 300, 200, 250
C) 200, 300, 400	D) None of these

Answer & Explanation Answer: B) 300, 200, 250

Explanation:

A's 5 days work = 50%

B's 5 days work = 33.33%

C's 2 days work = 16.66% [100- (50+33.33)]

Ratio of contribution of work of A, B and C = $50 : 33 \frac{1}{3} : 16 \frac{2}{3}$ = 3 : 2 : 1

A's total share = Rs. 1500

B's total share = Rs. 1000

C's total share = Rs. 500

A's one day's earning = Rs.300

B's one day's earning = Rs.200

C's one day's earning = Rs.250

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

594 95717

Q:

At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?

A) 54 past 4	B) (53 + 7/11) past 4
C) (54 + 8/11) past 4	D) (54 + 6/11) past 4

Answer & Explanation Answer: D) (54 + 6/11) past 4

Explanation:

4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min

50 min. spaces are gained in $\frac{60}{55} \times 50$ min. or $54 \frac{6}{11}$

Required time = $54 \frac{6}{11}$ min. past 4.

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams
Job Role: Analyst , Bank Clerk , Bank PO

325 94409

Q:

A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?

Answer

Let the average after 7th inning = x

Then average after 16th inning = x - 3

16(x-3)+87 = 17x

x = 87 - 48 = 39

Workspace

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Subject: Average Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

674 94250

Q:

What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III. Simple interest earned per annum is Rs. 2000

A) I only	B) II and III only
C) All I, II and III	D) I only or II and III only

Answer & Explanation Answer: D) I only or II and III only

Explanation:

$I . \frac{P * R * 5}{100} = P \Leftrightarrow R = 20$

$I I . P {(1 + \frac{R}{100})}^{2} - P - \frac{P * R * 2}{100} = 400 = > p R^{2} = 4000000$

$I I I . \frac{P * R * 1}{100} = 2000 = > P R = 200000$

$\frac{P R^{2}}{P R} = \frac{4000000}{200000} \Leftrightarrow R = 20$

Thus I only or (II and III) give answer.

Correct answer is (D)

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

94 91927

Q:

Find the unit digit of the expression

$31^{2} + 32^{2} + 33^{2} + 34^{2} + 35^{2} + 36^{2} + 37^{2} + 38^{2} + 39^{2}$

A) 1	B) 4
C) 5	D) 9

Answer & Explanation Answer: C) 5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 91831

Q:

Find the next number in the series 125, 80, 45, 20, ....

A) 5	B) 15
C) -5	D) 10

Answer & Explanation Answer: A) 5

Explanation:

The pattern is -45, -35, -25, -15

The next number = 20-15= 5

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Filed Under: Numbers
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk

44 91596

Q:

At what time between 2 and 3 o'clock will the hands of a clock be together?

A) (9 + 10/11) min past 2	B) (10 + 10/11) min past 2
C) (11 + 10/11) min past 2	D) (12 + 10/11) min past 2

Answer & Explanation Answer: B) (10 + 10/11) min past 2

Explanation:

At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart.

To be together, the minute hand must gain 10 minutes over the hour hand.

Now, 55 minutes are gained by it in 60 min.

$\therefore$ 10 minutes will be gained in $\frac{60}{55} \times 10$ min. = $10 \frac{10}{11}$ min.

The hands will coincide at $10 \frac{10}{11}$ min. past 2.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

205 91091

Q:

Find the odd one in the number series given below ?

17, 9, 10, 18.5, 35, 90

A) 9	B) 10
C) 18.5	D) 90

Answer & Explanation Answer: C) 18.5

Explanation:

The given series pattern follows

17 9 10 18.5 35 90

× 0.5 + 0.5, × 1 + 1, × 1.5 + 1.5, × 2 + 2, × 2.5 + 2.5

So here

17x0.5 + 0.5 = 9

9x1 + 1 = 10

10x1.5 + 1.5 = 16.5

16.5x2 + 2 = 35

35x2.5 + 2.5 = 90

Here the odd man in the given series is 18.5

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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6 91007

Quantitative Aptitude - Arithmetic Ability Questions

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