Q. A number is said to be a multiple of 4 if its last two digits form a number that is divisible by 4. Which of the following numbers is NOT a multiple of 4?
A.
124
B.
256
C.
378
D.
492
Solution
The last two digits of 378 are 78, which is not divisible by 4 (78 ÷ 4 = 19.5). Therefore, 378 is not a multiple of 4.
Q. A number leaves a remainder of 1 when divided by 3 and a remainder of 2 when divided by 5. What is the smallest positive integer that satisfies these conditions? (2023)
A.
6
B.
11
C.
16
D.
21
Solution
The smallest number that satisfies both conditions is 11 (11 % 3 = 2 and 11 % 5 = 1).
Q. A number leaves a remainder of 1 when divided by 5 and a remainder of 2 when divided by 3. What is the smallest positive integer that satisfies these conditions? (2023)
A.
1
B.
5
C.
8
D.
11
Solution
The smallest number that satisfies both conditions is 8 (8 % 5 = 3 and 8 % 3 = 2).
Q. A number leaves a remainder of 4 when divided by 10 and a remainder of 2 when divided by 3. What is the smallest positive integer that satisfies these conditions? (2023)
A.
4
B.
14
C.
24
D.
34
Solution
The smallest number that satisfies both conditions is 14 (14 % 10 = 4 and 14 % 3 = 2).
Q. A number leaves a remainder of 4 when divided by 6. If this number is multiplied by 3, what will be the remainder when the result is divided by 6? (2023)
A.
0
B.
1
C.
2
D.
3
Solution
If the number is 6k + 4, then 3(6k + 4) = 18k + 12, which leaves a remainder of 0 when divided by 6.
Q. A password consists of 3 letters followed by 2 digits. How many different passwords can be formed if letters can be repeated but digits cannot? (2000)
A.
17576
B.
15600
C.
13000
D.
12000
Solution
There are 26 choices for each letter (3 letters) and 10 choices for the first digit and 9 for the second. Total = 26^3 * 10 * 9 = 17576.
Quantitative Aptitude is a crucial component of various competitive exams, including the CAT. Mastering this subject not only enhances your mathematical skills but also boosts your confidence during exams. Practicing MCQs and objective questions is essential for effective exam preparation, as it helps identify important questions and strengthens your grasp of key concepts.
What You Will Practise Here
Number Systems and Properties
Percentage, Profit and Loss
Ratio and Proportion
Time, Speed, and Distance
Averages and Mixtures
Algebraic Expressions and Equations
Data Interpretation and Analysis
Exam Relevance
Quantitative Aptitude is a significant topic in various examinations, including CBSE, State Boards, NEET, and JEE. In these exams, you can expect questions that test your understanding of basic concepts, application of formulas, and problem-solving skills. Common question patterns include multiple-choice questions that require quick calculations and logical reasoning.
Common Mistakes Students Make
Misunderstanding the question requirements, leading to incorrect answers.
Overlooking units of measurement in word problems.
Not applying the correct formulas for different types of problems.
Rushing through calculations, resulting in simple arithmetic errors.
Failing to interpret data correctly in graphs and tables.
FAQs
Question: What are the best ways to prepare for Quantitative Aptitude in exams? Answer: Regular practice with MCQs, understanding key concepts, and reviewing mistakes can significantly improve your performance.
Question: How can I improve my speed in solving Quantitative Aptitude questions? Answer: Practice timed quizzes and focus on shortcuts and tricks to solve problems quickly.
Start solving practice MCQs today to test your understanding of Quantitative Aptitude and enhance your exam readiness. Remember, consistent practice is the key to success!
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