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. A boat can go 15 km upstream and 21 km downstream in 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
A.
6 km/h
B.
9 km/h
C.
12 km/h
D.
15 km/h
Solution
Let the speed of the boat in still water be x km/h. The speed upstream = (x - 3) km/h and downstream = (x + 3) km/h. Time taken upstream = 15/(x - 3) and downstream = 21/(x + 3). Therefore, (15/(x - 3)) + (21/(x + 3)) = 3. Solving gives x = 9 km/h.
Q. A boat can go 15 km upstream and 21 km downstream in 3 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the stream?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Solution
Let the speed of the stream be x km/h. The speed upstream = (10 - x) km/h and downstream = (10 + x) km/h. Time taken upstream = 15/(10 - x) and downstream = 21/(10 + x). Therefore, (15/(10 - x)) + (21/(10 + x)) = 3. Solving gives x = 3 km/h.
Q. A boat can go 24 km downstream in 3 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?
A.
2 km/h
B.
4 km/h
C.
6 km/h
D.
8 km/h
Solution
Speed downstream = Distance/Time = 24 km / 3 h = 8 km/h. Speed of current = Speed downstream - Speed of boat in still water = 8 km/h - 10 km/h = -2 km/h (not possible).
Q. A boat can go 36 km downstream in 2 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?
A.
15 km/h
B.
18 km/h
C.
21 km/h
D.
24 km/h
Solution
Speed downstream = Distance/Time = 36 km / 2 h = 18 km/h. Speed of boat in still water = Speed downstream - Speed of current = 18 km/h - 3 km/h = 15 km/h.
Q. A boat can travel 80 km downstream in 8 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Solution
Speed downstream = Distance/Time = 80 km / 8 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 4 km/h = 6 km/h.
Q. A boat can travel at 10 km/h in still water. If it takes 2 hours to go upstream and 1 hour to return downstream, what is the speed of the current?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Solution
Let the speed of the current be x. Upstream speed = 10 - x, Downstream speed = 10 + x. Time upstream = 2 hours, Time downstream = 1 hour. Thus, 2(10 - x) = Distance and 1(10 + x) = Distance. Equating gives x = 3 km/h.
