6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Calculate the area (in sq.cm) of a circle whose diameter is 35 cm.

A) 1925	B) 962.5
C) 857.5	D) 1715

Answer & Explanation Answer: B) 962.5

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 33388

Q:

The angle between the minute hand and the hour hand of a clock when the time is 8:30

A) 80 Degrees	B) 75 Degrees
C) 60 Degrees	D) 105 Degrees

Answer & Explanation Answer: B) 75 Degrees

Explanation:

Angle traced by hour hand in 17/2 hrs = ${(\frac{360}{12} \times \frac{17}{2})}^{o}$ = 255

Angle traced by min hand in 30 min = ${(\frac{360}{60} \times 30)}^{o}$ = 180

Therefore, Required angle = (255 - 180) = $75^{o}$

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Filed Under: Clocks

76 33387

Q:

Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 9 hours after they passed each other the ratio of the speeds of the two trains was

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

Answer & Explanation Answer: B) 3:2

Explanation:

Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)

Therefore, Ratio of the speeds of two trains = $\sqrt{9} : \sqrt{4}$ = 3 : 2

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

76 33291

Q:

What is the simplified result of following the steps below in order?

1.Add 5y to 2x

2.Multiply the sum by 3

3.Substract x+y from the product

A) 5x + 14y	B) 5x + 16y
C) 5x + 5y	D) None

Answer & Explanation Answer: A) 5x + 14y

Explanation:

Step 1 :2x + 5y

Step 2 :3(2x + 5y) = 6x + 15y

Step 3 :(6x + 15y) - (x +y) = 6x + 15y - x - y (watch that last minus sign!)

This gives 5x + 14y

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Filed Under: Numbers
Exam Prep: GRE

5 33286

Q:

How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m

A) 5600	B) 600
C) 6400	D) 7200

Answer & Explanation Answer: C) 6400

Explanation:

No. of bricks= volume of the wall/volume of 1 brick

= (800 x 600 x 22.5) / (25 x 11.25 x 6) = 6400

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

62 33246

Q:

(x-2) men can do a piece of work in x days and (x+7) men can do 75% of the same work in (x-10)days. Then in how many days can (x+10) men finish the work?

A) 27 days	B) 12 days
C) 25 days	D) 18 days

Answer & Explanation Answer: B) 12 days

Explanation:

$\frac{3}{4} \times (x - 2) x = (x + 7) (x - 10)$

$\Rightarrow x^{2} - 6 x - 280 = 0$

=> x= 20 and x=-14

so, the acceptable values is x=20

Therefore, Total work =(x-2)x = 18 x 20 =360 unit

Now 360 = 30 x k

=> k=12 days

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Filed Under: Time and Work

77 33221

Q:

A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?

A) 34	B) 36
C) 35	D) 37

Answer & Explanation Answer: D) 37

Explanation:

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

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

41 33198

Q:

Two partners investede Rs. 1250 and Rs. 850 respectively in a business. They distributed 60% of the profit equally and decide to distribute the remaining 40% as the ratio of their capitals. If one partner received Rs. 30 more than the other, find the total profit?

Answer

Let the total profit be Rs.x

60% of the profit = $\inline \frac{60}{100}\times x=Rs.\frac{3x}{5}$