Arithmetic Aptitude is a crucial component of many school and competitive exams in India. Mastering this subject not only enhances your mathematical skills but also boosts your confidence in tackling objective questions. Regular practice with MCQs and practice questions helps you identify important questions and improves your exam preparation, ensuring you score better in your assessments.
What You Will Practise Here
Basic arithmetic operations: addition, subtraction, multiplication, and division
Fractions and decimals: conversion and operations
Percentage calculations: increase, decrease, and comparisons
Ratio and proportion: understanding and application
Averages: calculating and interpreting data
Simple and compound interest: formulas and problem-solving
Time, speed, and distance: concepts and related problems
Exam Relevance
Arithmetic Aptitude is a significant topic in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of basic concepts, calculations, and problem-solving abilities. Common question patterns include direct application of formulas, word problems, and data interpretation, making it essential to practice thoroughly.
Common Mistakes Students Make
Misunderstanding the question requirements, leading to incorrect answers.
Overlooking the order of operations in complex calculations.
Confusing percentages with fractions, resulting in calculation errors.
Neglecting to convert units properly in time, speed, and distance problems.
Failing to apply the correct formula for interest calculations.
FAQs
Question: What are some effective strategies for solving Arithmetic Aptitude MCQs? Answer: Practice regularly, understand the underlying concepts, and familiarize yourself with different question types to enhance your speed and accuracy.
Question: How can I improve my speed in solving Arithmetic Aptitude questions? Answer: Time yourself while practicing and focus on shortcuts and tricks that can simplify calculations.
Start your journey towards mastering Arithmetic Aptitude today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!
Q. If a tank can be filled by a pipe in 15 hours and emptied by another pipe in 10 hours, how long will it take to fill the tank if both pipes are opened together?
A.
5 hours
B.
6 hours
C.
7 hours
D.
8 hours
Solution
The net rate is 1/15 - 1/10 = 2/30 - 3/30 = -1/30. Therefore, the tank will never fill.
Q. If a tank can be filled by a pipe in 20 hours and emptied by another pipe in 30 hours, how long will it take to fill the tank if both pipes are opened together?
A.
12 hours
B.
15 hours
C.
18 hours
D.
24 hours
Solution
The net rate is 1/20 - 1/30 = 1/60. Therefore, it will take 60 hours to fill the tank.
Q. If a tank can be filled by a pipe in 20 minutes and emptied by another pipe in 30 minutes, how long will it take to fill the tank if both pipes are opened together?
A.
10 minutes
B.
15 minutes
C.
20 minutes
D.
25 minutes
Solution
The net rate is 1/20 - 1/30 = 1/60. Therefore, it will take 60 minutes to fill the tank.
Q. If a tank can be filled by a pipe in 25 minutes and emptied by another pipe in 50 minutes, how long will it take to fill the tank if both pipes are opened together?
A.
16.67 minutes
B.
20 minutes
C.
25 minutes
D.
30 minutes
Solution
The net rate is 1/25 - 1/50 = 1/50. Therefore, it will take 50 minutes to fill the tank.
Q. If a tank can be filled by a pipe in 3 hours and emptied by another pipe in 5 hours, how long will it take to fill the tank if both pipes are opened together?
A.
1.5 hours
B.
2 hours
C.
2.5 hours
D.
3 hours
Solution
The combined rate is (1/3 - 1/5) = (5-3)/15 = 2/15. Therefore, it will take 15/2 hours or 7.5 hours.
Q. If a tank can be filled by a pipe in 3 hours and emptied by another pipe in 9 hours, how long will it take to fill the tank if both pipes are opened together?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Solution
The net rate is 1/3 - 1/9 = 3/9 - 1/9 = 2/9. Therefore, it will take 9/2 hours or 4.5 hours.
Q. If a tank can be filled by a pipe in 4 hours and emptied by another pipe in 6 hours, how long will it take to fill the tank if both pipes are opened together?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Solution
The net rate is 1/4 - 1/6 = 3/12 - 2/12 = 1/12. Therefore, it will take 12 hours to fill the tank.
Q. If a tank can be filled by a pipe in 6 hours and another pipe can empty it in 4 hours, how long will it take to fill the tank if both pipes are opened together?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Solution
The net rate is 1/6 - 1/4 = 2/12 - 3/12 = -1/12. Therefore, the tank will never fill.
Q. If a tank can be filled by a pipe in 6 hours and emptied by another pipe in 4 hours, how long will it take to fill the tank if both pipes are opened together?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Solution
The net rate is 1/6 - 1/4 = 2/12 - 3/12 = -1/12. Therefore, the tank will never fill.
Q. If a tank can be filled by a pipe in 6 hours and emptied by another pipe in 9 hours, how long will it take to fill the tank if both pipes are opened together?
A.
3 hours
B.
4 hours
C.
5 hours
D.
6 hours
Solution
The combined rate is (1/6 - 1/9) = (3-2)/18 = 1/18. Therefore, it will take 18 hours to fill the tank.
Q. If a tank can be filled by a pipe in 8 hours and emptied by another pipe in 12 hours, how long will it take to fill the tank if both pipes are opened together?
A.
4 hours
B.
6 hours
C.
8 hours
D.
10 hours
Solution
The net rate is 1/8 - 1/12 = 1/24. Therefore, it will take 24 hours to fill the tank.
Q. If a tank is filled by a pipe in 5 hours and another pipe can empty it in 10 hours, how long will it take to fill the tank if both pipes are opened for 2 hours?
A.
1 hour
B.
2 hours
C.
3 hours
D.
4 hours
Solution
In 2 hours, the filling pipe fills 2/5 of the tank and the emptying pipe empties 2/10 of the tank. Net filled = 2/5 - 1/5 = 1/5. Therefore, 1/5 of the tank is filled.
Q. If a tank is filled by a pipe in 5 hours and emptied by another pipe in 10 hours, how long will it take to fill the tank if both pipes are opened together?
A.
3 hours
B.
4 hours
C.
5 hours
D.
6 hours
Solution
The net rate is 1/5 - 1/10 = 2/10 - 1/10 = 1/10. Therefore, it will take 10 hours to fill the tank.
Q. If a tank is filled by a pipe in 6 hours and another pipe can empty it in 9 hours, how long will it take to fill the tank if both pipes are opened together?
A.
4 hours
B.
5 hours
C.
6 hours
D.
7 hours
Solution
The net rate is 1/6 - 1/9 = 3/18 - 2/18 = 1/18. Therefore, it will take 18 hours to fill the tank.
Q. If a tank is filled by a pipe in 7 hours and emptied by another pipe in 14 hours, how long will it take to fill the tank if both pipes are opened together?
A.
4 hours
B.
5 hours
C.
6 hours
D.
7 hours
Solution
The net rate is 1/7 - 1/14 = 2/14 - 1/14 = 1/14. Therefore, it will take 14 hours to fill the tank.
Q. If a tank is filled by two pipes A and B in 12 hours and 15 hours respectively, how long will it take to fill the tank if both pipes are opened together?
A.
6 hours
B.
7 hours
C.
8 hours
D.
9 hours
Solution
The combined rate is 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Therefore, it will take 20/3 hours or approximately 6.67 hours.
