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 cistern has two pipes. Pipe A can fill it in 8 hours and pipe B can empty it in 12 hours. If both pipes are opened together, how long will it take to fill the cistern?
A.
4 hours
B.
6 hours
C.
8 hours
D.
10 hours
Solution
The net rate is 1/8 - 1/12 = 3/24 - 2/24 = 1/24. Therefore, it will take 24 hours to fill the cistern.
Q. A class has 20 students with an average height of 150 cm. If 5 new students with an average height of 160 cm join, what is the new average height?
A.
152
B.
154
C.
156
D.
158
Solution
Total height of 20 students = 20 * 150 = 3000. Total height of 5 new students = 5 * 160 = 800. New total = 3000 + 800 = 3800. New average = 3800 / 25 = 152.
Q. A class has 20 students with an average height of 150 cm. If one student leaves and the average height becomes 148 cm, what is the height of the student who left?
A.
160 cm
B.
150 cm
C.
140 cm
D.
130 cm
Solution
Total height of 20 students = 20 * 150 = 3000 cm. Total height of 19 students = 19 * 148 = 2812 cm. Height of the student who left = 3000 - 2812 = 188 cm.
Q. A class has 30 students. If the average score of the class is 75 and one student scored 90, what is the average score of the remaining students?
A.
72
B.
74
C.
76
D.
78
Solution
Total score of 30 students = 30 * 75 = 2250. Total score of remaining 29 students = 2250 - 90 = 2160. Average of remaining = 2160 / 29 = 74.48, approximately 74.
Q. A class has 30 students. If the average score of the class is 75 and one student scored 90, what will be the new average if that student is removed?
A.
74
B.
75
C.
76
D.
77
Solution
Total score = 30 * 75 = 2250. New total = 2250 - 90 = 2160. New average = 2160 / 29 = 74.48, approximately 74.
Q. A class of 30 students has an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student?
A.
80
B.
85
C.
90
D.
95
Solution
The total score of 30 students is 30 * 75 = 2250. After the new student joins, the total score becomes 31 * 76 = 2356. Therefore, the new student's score is 2356 - 2250 = 106.
Q. A clock gains 5 minutes every hour. If it shows 10:00 AM now, what will be the actual time when it shows 12:00 PM?
A.
11:30 AM
B.
11:50 AM
C.
12:10 PM
D.
12:20 PM
Solution
In 2 hours, the clock will gain 10 minutes (5 minutes/hour * 2 hours). So, when the clock shows 12:00 PM, the actual time will be 12:00 PM - 10 minutes = 11:50 AM.
Q. A clock shows 8:00. What will be the angle between the hour and minute hands at 8:30?
A.
180 degrees
B.
165 degrees
C.
150 degrees
D.
135 degrees
Solution
At 8:30, the hour hand is at 255 degrees (8 * 30 + 30 * 0.5) and the minute hand is at 180 degrees (30 * 6). The angle between them is |255 - 180| = 75 degrees.
Q. A company has 100 employees with an average salary of $5000. If 10 employees leave with an average salary of $6000, what is the new average salary?
A.
$4900
B.
$4950
C.
$5000
D.
$5050
Solution
Total salary of 100 employees = 100 * 5000 = $500000. Total salary of 10 employees leaving = 10 * 6000 = $60000. New total salary = 500000 - 60000 = $440000. New average = 440000 / 90 = $4888.89, which rounds to $4900.
