6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, is:

A) 20%	B) 25%
C) 33.33%	D) 18%

Answer & Explanation Answer: B) 25%

Explanation:

When the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 litres of milk.

Since, the profit % = $\frac{P r o f i t}{C o s t P r i c e} x 100$

Therefore, profit percentage = $\frac{5}{20} x 100$ = 25%

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

44 14291

Q:

Calculate the total numbers of prime factors in the expression ${(5)}^{11} x {(5)}^{7} x {(7)}^{5} x {(3)}^{2} x {(17)}^{2}$ .

A) 35	B) 36
C) 37	D) 38

Answer & Explanation Answer: D) 38

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

8 14258

Q:

A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is

A) 200m	B) 300m
C) 400m	D) 100m

Answer & Explanation Answer: A) 200m

Explanation:

Let the triangle and parallelogram have common base b,

let the Altitude of triangle is h1 and of parallelogram is h2(which is equal to 100 m), then

Area of triangle = $\frac{1}{2} \times b \times h 1$

Area of rectangle = b*h2

As per Given,

$\frac{1}{2} * b * h 1 = b * h 2$

$\frac{1}{2} * b * h 1 = b * 100$

h1=200

Report Error

View Answer Report Error Discuss

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

13 14257

Q:

In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?

A) 910	B) 1000
C) 970	D) None of the above

Answer & Explanation Answer: D) None of the above

Explanation:

504/M = 384/800

(504 x 800) / 384 = M

M = 1050

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

13 14256

Q:

The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?

A) 12	B) 15
C) 17	D) none of these answers can be determined

Answer & Explanation Answer: D) none of these answers can be determined

Explanation:

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 63

=> 9 (x - y) = 63

=> x - y = 7.

Thus, none of the numbers can be deermined..

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers

5 14245

Q:

Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:

A) 0.15%	B) 15%
C) 0.125%	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Total land of Sukhiya = 480x/0.6 = 800x

Cultivated land of village = 384000x

Required percentage = $\frac{800 x}{384000} x 100 = 0.20833$

Report Error

View Answer Report Error Discuss

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

16 14241

Q:

The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?

A) 4:5	B) 6:5
C) 3:2	D) 1:3

Answer & Explanation Answer: B) 6:5

Explanation:

4:5
3:2
-------
=> 12:15:10

12:10

=> 6:5

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

11 14235

Q:

Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ?

A) 36 kmph	B) 35 kmph
C) 72 kmph	D) 70 kmph

Answer & Explanation Answer: D) 70 kmph

Explanation:

By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.

By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.

By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.

So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.

Report Error

View Answer Report Error Discuss

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

9 14228

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links