6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.

A) 355 mts	B) 325 mts
C) 365 mts	D) 312 mts

Answer & Explanation Answer: A) 355 mts

Explanation:

Given speed = 63 km/hr = $63 \times \frac{5}{18} = \frac{35}{2}$ m/s

Let the length of the bridge = x mts

Given time taken to cover the distance of (170 + x)mts is 30 sec.

We know speed = $\frac{d i s \tan c e}{t i m e}$ m/s

$\Rightarrow \frac{35}{2} = \frac{170 + x}{30}$

--> x = 355 mts.

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Filed Under: Problems on Trains
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

19 16376

Q:

The banker's discount of a certain sum of money is Rs. 72 and the true discount on the

same sum for the same time is Rs. 60. The sum due is:

A) 290	B) 480
C) 360	D) 420

Answer & Explanation Answer: C) 360

Explanation:

Sum =(B.D. x T.D.)/(B.D. - T.D.)

= Rs. (72 x 60) / (72 - 60)

= Rs. (72 x 60) /12

= Rs. 360.

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Filed Under: Banker's Discount

1 16363

Q:

12 points lie on a circle. How many cyclic quadrilaterals can be drawn by using these points?

A) 500	B) 490
C) 495	D) 540

Answer & Explanation Answer: C) 495

Explanation:

For any set of 4 points we get a cyclic quadrilateral. Number of ways of choosing 4 points out of 12 points is $12 C_{4}$ = 495.

Therefore, we can draw 495 quadrilaterals

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Filed Under: Permutations and Combinations

3 16346

Q:

A man’s current age is $\frac{2}{5}$ of the age of his father. After 8 years, he will be $\frac{1}{2}$ of the age of his father. What is the age of father at now ?

A) 50	B) 40
C) 33	D) 30

Answer & Explanation Answer: B) 40

Explanation:

Let, father’s current age is A years.
Then, Man’s current age = $[(\frac{2}{5} * A)]$ years.

$[(\frac{2}{5} * A)]$ +8= $(\frac{1}{2}) (A + 8)$

2(2A+40) = 5(A+8)

A = 40

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Filed Under: Problems on Ages

23 16309

Q:

There are 4 books on fairy tales, 5 novels and 3 plays. In how many ways can you arrange these so that books on fairy tales are together, novels are together and plays are together and in the order, books on fairytales, novels and plays ?

A) 12400	B) 17820
C) 17280	D) 12460

Answer & Explanation Answer: C) 17280

Explanation:

There are 4 books on fairy tales and they have to be put together. They can be arranged in 4! ways.

Similarly, there are 5 novels.They can be arranged in 5! ways.

And there are 3 plays.They can be arranged in 3! ways.

So, by the counting principle all of them together can be arranged in 4!´5!´3! ways = 17280

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Filed Under: Permutations and Combinations

8 16304

Q:

If the volume of the cube is 729 $c m^{3}$ , then the surface area of the cube will be

A) 486 sq.cm	B) 456 sq.cm
C) 446 sq.cm	D) 476 sq.cm

Answer & Explanation Answer: A) 486 sq.cm

Explanation:

volume = $a^{3}$ = 729;

=> a = 9

surface area= 6 $a^{2}$ = (6 x 9 x 9) = 486 sq.cm

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Filed Under: Volume and Surface Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

19 16292

Q:

In Maa Yatri Temple every devotee offers fruits to the orphans. Thus every orphan receives bananas, oranges and grapes in the ratio of 3:2:7 in terms of dozens. But the weight of a grape is 24 gm and weight of a banana and an orange are in the ratio of 4:5, while the weight of an orangeis 150gm. Find the ratio of all the three fruits in terms of weight, that an orphan gets

A) 90:75:42	B) 180:150:82
C) 75:42:90	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Ratio of fruits (by dozen) = 3:2:7

Ratio of fruits (by weight) = 120 :150: 24

Therefore, Ratio of fruits (combined) by weight = 3 x 120 : 2 x 150 : 7 x 24 = 30 : 25 : 14

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Filed Under: Ratios and Proportions

16 16260

Q:

Which of the following numbers is composite?

A) 47	B) 57
C) 37	D) 67

Quantitative Aptitude - Arithmetic Ability Questions

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