6500+ Quantitative Aptitude Questions and Answers With Explanation

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

Report Error

View Answer Report Error Discuss

Filed Under: Time and Work

77 33771

Q:

Consider the following inequalities in respect of any triangle ABC:

1) AC –AB < BC

2) BC –AC < AB

3) AB –BC < AC

Which of the above are correct?

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

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

Explanation:

AC-AB<BC Or AB+BC>AC

BC-AC<AB Or AB+AC>BC

AB-BC<AC Or AC+BC>AB

Sum of 2 sides of triangle is always greater than the third side

So all three statements are true

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 33725

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 = $\inline \frac{60}{100}\times x=Rs.\frac{3x}{5}$

from this part of the profit each gets = Rs. $\inline \frac{3x}{10}$

40% of the profit = $\inline \frac{40}{100}\times x=Rs.\frac{2x}{5}$

Now, this amount of Rs. $\inline \frac{2x}{5}$ has been divided in the ratio of capitals 1250 : 850 = 25 :17

$\inline \therefore$ Share on first capital = $\inline (\frac{2x}{5}\times \frac{25}{42})=Rs.\frac{5x}{21}$

Share on second capital = $\inline (\frac{2x}{5}\times \frac{17}{42})=Rs.\frac{17x}{105}$

Total money received by 1st investor = $\inline [\frac{3x}{10}+\frac{5x}{21}]= Rs.\frac{113x}{210}$

Total money received by 2nd investor = $\inline [\frac{113x}{210}+\frac{97x}{210}]=Rs.\frac{97x}{210}$

$\inline \therefore$ x = 393.75

Hence total profit = Rs. 393.75

Workspace

Report Error

View answer Workspace Report Error Discuss

Subject: Partnership

102 33600

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) = $75^{o}$

Report Error

View Answer Report Error Discuss

Filed Under: Clocks

76 33560

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

Report Error

View Answer Report Error Discuss

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

41 33555

Q:

The two lines 3x - 8y = 16 and 2x + 4y = 6 intersect at (a,b). Find the value of $a^{2} - 4 b^{2}$

A) 5	B) 10
C) 15	D) 20

Answer & Explanation Answer: C) 15

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams , AIEEE

0 33518

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

Report Error

View Answer Report Error Discuss

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

62 33410

Q:

On a sum of money, the simple interest for 2 years is Rs. 660,while the compound interest is Rs.696.30,the rate of interest being the same in both the cases. The rate of interest is

A) 10%	B) 11%
C) 12%	D) 13%

Answer & Explanation Answer: B) 11%

Explanation:

Difference in C.I and S.I for 2 years

= Rs(696.30-660)

=Rs. 36.30.

S.I for one years = Rs330.

S.I on Rs.330 for 1 year =Rs. 36.30

Rate

= (100x36.30/330x1)%

= 11%

Report Error

View Answer Report Error Discuss

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

42 33374

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links