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 mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken out, how much sugar is left in the mixture?
A.
1.5 liters
B.
2 liters
C.
2.5 liters
D.
3 liters
Solution
In 5 liters of the mixture, sugar = 30% of 5 = 1.5 liters. If the original mixture was 5 liters, the remaining sugar = 30% of (original volume - 5) = 30% of (5 - 5) = 0 liters. Thus, 1.5 liters of sugar is removed, leaving 0 liters.
Q. A mixture of two grades of rice costs $20 per kg and $30 per kg. If a mixture is made with equal quantities of both, what is the cost per kg of the mixture?
Q. A mixture of two grades of rice costs $20 per kg and $30 per kg. If the mixture is sold at $25 per kg, what is the ratio of the two grades in the mixture?
A.
1:1
B.
1:2
C.
2:1
D.
3:2
Solution
Using alligation, (30-25)/(25-20) = 1/1. Ratio = 1:1.
Q. A mixture of two grades of rice costs $30 and $40 per kg. If a mixture of 10 kg is made with equal quantities, what is the cost per kg of the mixture?
Q. A mixture of two grades of sugar is made in the ratio 2:3. If the total weight of the mixture is 100 kg, how much of the first grade sugar is there?
A.
20 kg
B.
30 kg
C.
40 kg
D.
50 kg
Solution
Total parts = 2 + 3 = 5. First grade sugar = (2/5) * 100 = 40 kg.
Q. A mixture of two liquids A and B is in the ratio 1:3. If 12 liters of liquid B is added, the ratio becomes 1:4. What was the initial volume of liquid A?
A.
3 liters
B.
4 liters
C.
6 liters
D.
12 liters
Solution
Let the initial volumes of A and B be x and 3x. After adding 12 liters to B, we have x/(3x + 12) = 1/4. Solving gives x = 6 liters.
Q. A mixture of two liquids A and B is in the ratio 4:3. If 21 liters of liquid A is added to the mixture, the ratio becomes 5:3. What was the initial volume of the mixture?
A.
42 liters
B.
45 liters
C.
48 liters
D.
50 liters
Solution
Let the initial volumes of A and B be 4x and 3x. After adding 21 liters to A, we have (4x + 21)/(3x) = 5/3. Solving gives x = 15, so the initial volume = 4x + 3x = 45 liters.
Q. A mixture of two liquids A and B is in the ratio 4:5. If 9 liters of liquid B is added, the ratio becomes 4:6. What was the initial quantity of liquid B?
A.
18 liters
B.
20 liters
C.
22 liters
D.
24 liters
Solution
Let the initial quantities be 4x and 5x. After adding 9 liters of B, the new ratio is (4x)/(5x + 9) = 4/6. Solving gives x = 3, so initial quantity of B = 5x = 15 liters.
Q. A mixture of two liquids A and B is in the ratio 5:3. If 16 liters of liquid A is added to the mixture, the ratio becomes 3:2. What was the initial quantity of liquid A?
A.
24 liters
B.
32 liters
C.
40 liters
D.
48 liters
Solution
Let the initial quantities be 5x and 3x. After adding 16 liters of A, the new ratio is (5x + 16)/(3x) = 3/2. Solving gives x = 8, so initial quantity of A = 5x = 40 liters.
Q. A mixture of two types of fruit juice is made in the ratio 4:1. If the total volume of the mixture is 100 liters, how much of the first type of juice is there?
A.
80 liters
B.
70 liters
C.
60 liters
D.
50 liters
Solution
Total parts = 4 + 1 = 5. First type juice = (4/5) * 100 = 80 liters.
Q. A mixture of two types of nuts costs $12 per kg. If one type costs $10 per kg and the other type costs $16 per kg, what is the ratio of the two types in the mixture?
A.
1:2
B.
2:1
C.
3:1
D.
1:3
Solution
Let the ratio be x:y. Then, (10x + 16y)/(x + y) = 12. Solving gives x:y = 2:1.
