6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A) 10 : 5	B) 15 : 2
C) 20 : 2	D) 25 : 2

Answer & Explanation Answer: D) 25 : 2

Explanation:

Indian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number.

US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2.

Now US : Indian = 25 : 10, and Indian : British = 10 : 2

Hence the two ratios can be combined and US : British = 25 : 2

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Filed Under: Ratios and Proportions
Exam Prep: GRE

220 27324

Q:

In the given figure, if QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ?

A) 28	B) 18
C) 21	D) 24

Answer & Explanation Answer: A) 28

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

2 27319

Q:

A sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs.2.60 and each girl Rs.1.80. Find the number of boys and girls ?

Answer

Average money received by each = 118/50 = Rs. 2.36

Therefore, Ratio of No.of boys and girls = 56 : 24 = 7 : 3

Therefore, Number of boys = 50 x (7/10) = 35

Number of girls = 50 - 35 = 15

Workspace

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Subject: Alligation or Mixture

56 27319

Q:

ΔPQR is right angled at Q. If m∠R= $30^{0}$ , then find the value of (cosP - 1/3).

A) 1/6	B) (2√2-1)/√2
C) -1/√3	D) (√3-4)/2√3

Answer & Explanation Answer: A) 1/6

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 27305

Q:

Find the value of

199992 x 200008 = ?

A) 39999799936	B) 39999999836
C) 39999999936	D) 39999999926

Answer & Explanation Answer: C) 39999999936

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 27305

Q:

If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?

A) 40	B) 50
C) 60	D) 70

Answer & Explanation Answer: C) 60

Explanation:

Let the required no of hours be x. Then

Less men , More hours (Indirct Proportion)

Therefore, 15:36 ::25:x

=> (15 x X)=(36 x 25) => x = 60

Hence, 15 men can do it in 60 hours.

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Filed Under: Chain Rule

95 27291

Q:

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A) 3 hrs 15 min	B) 3 hrs 45 min
C) 4 hrs 15 min	D) 4 hrs 1

Answer & Explanation Answer: B) 3 hrs 45 min

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.

Part filled by the four taps in 1 hour =4*1/6 =2/3

Remaining part = $(1 - \frac{1}{2}) = \frac{1}{2}$

$\frac{2}{3} : \frac{1}{2} : : 1 : x$

=> x = $(\frac{1}{2} * 1 * \frac{3}{2}) = \frac{3}{4}$

So, total time taken = 3 hrs. 45 mins.

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Filed Under: Pipes and Cistern

84 27286

Q:

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A) 4pm	B) 5pm
C) 6pm	D) 7pm

Answer & Explanation Answer: A) 4pm

Explanation:

Time from 7 am to 4.15 pm = 9 hrs 15 min = $\frac{37}{4}$ hrs

3 min. 5 sec. of this clock = 3 min. of the correct clock.

Now 3min.5sec. is $\frac{37}{720}$ hrs of this clock = 3 min.is $\frac{1}{20}$ hrs of the correct clock

$\frac{37}{4}$ hrs of clock = $(\frac{1}{20} \times \frac{720}{37} \times \frac{37}{4})$ hrs of the correct clock.

= 9 hrs of the correct clock.

$\therefore$ The correct time is 9 hrs after 7 am. i.e., 4 pm.

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

89 27278

Quantitative Aptitude - Arithmetic Ability Questions

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