Q. If a number is divided by 12 and gives a remainder of 7, what will be the remainder when this number is divided by 3?
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Solution
Since 7 divided by 3 gives a remainder of 1, the answer is 1.
Correct Answer:
B
— 1
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Q. If a number is divided by 12 and gives a remainder of 7, what will be the remainder when the same number is divided by 3? (2023)
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Solution
The number can be expressed as 12k + 7. When divided by 3, the remainder is 1 (7 % 3 = 1).
Correct Answer:
B
— 1
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Q. If a number is divided by 12 and gives a remainder of 7, which of the following numbers could it be?
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Solution
23 gives a remainder of 7 when divided by 12 (12*1 + 7 = 19).
Correct Answer:
B
— 23
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Q. If a number is divided by 12 and leaves a remainder of 7, what is the remainder when the same number is divided by 3? (2023)
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Solution
Since 7 mod 3 = 1, the remainder when the number is divided by 3 is 1.
Correct Answer:
B
— 1
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Q. If a number is divided by 15 and gives a remainder of 10, which of the following could be the number?
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Solution
25 gives a remainder of 10 when divided by 15 (15*1 + 10 = 25).
Correct Answer:
A
— 25
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Q. If a number is divided by 15 and gives a remainder of 7, what will be the remainder when this number is divided by 3?
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Solution
The remainder when the number is divided by 3 is 1, since 7 mod 3 = 1.
Correct Answer:
B
— 1
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Q. If a number is divided by 15 and gives a remainder of 8, which of the following numbers will also give the same remainder when divided by 15?
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Solution
23 gives a remainder of 8 when divided by 15.
Correct Answer:
A
— 23
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Q. If a number is divided by 15 and leaves a remainder of 10, what will be the remainder when this number is divided by 5? (2023)
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Solution
Since 10 is greater than 5, the remainder when 10 is divided by 5 is 0.
Correct Answer:
A
— 0
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Q. If a number is divided by 6 and gives a remainder of 2, what will be the remainder when the same number is divided by 3? (2023)
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Solution
If the number gives a remainder of 2 when divided by 6, it will give a remainder of 2 when divided by 3 as well.
Correct Answer:
B
— 1
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Q. If a number is divided by 6 and gives a remainder of 2, what will be the remainder when this number is divided by 3? (2023)
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Solution
Since 2 is less than 3, the remainder when 2 is divided by 3 is 2.
Correct Answer:
A
— 0
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Q. If a number is divided by 8 and gives a remainder of 5, what will be the remainder when this number is divided by 4?
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Solution
The number can be expressed as 8k + 5, which gives a remainder of 1 when divided by 4.
Correct Answer:
B
— 1
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Q. If a number is divided by 8 and leaves a remainder of 5, what will be the remainder when this number is divided by 4? (2023)
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Solution
The number can be expressed as 8k + 5. When divided by 4, the remainder is 5 mod 4 = 1.
Correct Answer:
D
— 3
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Q. If a number is divided by 9 and gives a remainder of 2, which of the following numbers will also give the same remainder when divided by 9?
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Solution
29 gives a remainder of 2 when divided by 9 (9*3 + 2 = 29).
Correct Answer:
C
— 29
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Q. If a number is divisible by 10, which of the following must be true?
A.
It is divisible by 2
B.
It is divisible by 5
C.
It is even
D.
All of the above
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Solution
A number divisible by 10 is always divisible by 2 and 5, and it is also even.
Correct Answer:
D
— All of the above
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Q. If a number is divisible by 12, which of the following must also be true?
A.
It is divisible by 3
B.
It is divisible by 5
C.
It is divisible by 10
D.
It is a prime number
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Solution
A number divisible by 12 is also divisible by both 3 and 4.
Correct Answer:
A
— It is divisible by 3
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Q. If a number is divisible by 15, which of the following must also be true?
A.
It is divisible by 3
B.
It is divisible by 5
C.
It is even
D.
Both 0 and 1 are factors
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Solution
A number divisible by 15 must be divisible by both 3 and 5.
Correct Answer:
A
— It is divisible by 3
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Q. If a number is divisible by 15, which of the following must it also be divisible by?
A.
3
B.
5
C.
15
D.
All of the above
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Solution
A number divisible by 15 is also divisible by both 3 and 5, as 15 is the product of these two primes.
Correct Answer:
D
— All of the above
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Q. If a number is divisible by 4, which of the following must also be true?
A.
It is even
B.
It is divisible by 8
C.
It is divisible by 2
D.
It is a multiple of 10
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Solution
Any number divisible by 4 is even, as 4 itself is an even number.
Correct Answer:
A
— It is even
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Q. If a number is divisible by 4, which of the following must be true?
A.
It ends in 0
B.
It ends in 2
C.
Its last two digits form a number divisible by 4
D.
It is even
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Solution
A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
Correct Answer:
C
— Its last two digits form a number divisible by 4
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Q. If a number is divisible by 7, which of the following is NOT necessarily true?
A.
It is odd
B.
It is not a prime number
C.
It can be a multiple of 14
D.
It can be a two-digit number
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Solution
A number can be divisible by 7 and still be even, such as 14.
Correct Answer:
A
— It is odd
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Q. If a number is divisible by 8, which of the following must also be true?
A.
It is divisible by 2
B.
It is divisible by 4
C.
It is a multiple of 16
D.
It is a prime number
Show solution
Solution
Any number divisible by 8 is also divisible by 4, as 8 is a multiple of 4.
Correct Answer:
B
— It is divisible by 4
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Q. If a number is divisible by 8, which of the following must be true?
A.
It is divisible by 2
B.
It is divisible by 3
C.
It is divisible by 5
D.
It is divisible by 10
Show solution
Solution
A number divisible by 8 is also divisible by 2, as 8 is a multiple of 2.
Correct Answer:
A
— It is divisible by 2
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Q. If a number is divisible by 9, what can be inferred about the sum of its digits?
A.
It is even
B.
It is divisible by 3
C.
It is divisible by 9
D.
It is a prime number
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Solution
A number is divisible by 9 if the sum of its digits is also divisible by 9.
Correct Answer:
C
— It is divisible by 9
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Q. If a number is divisible by both 2 and 3, which of the following is true?
A.
It is divisible by 5
B.
It is divisible by 6
C.
It is odd
D.
It is a prime number
Show solution
Solution
A number that is divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Correct Answer:
B
— It is divisible by 6
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Q. If a number is divisible by both 2 and 3, which of the following must also be true?
A.
It is divisible by 5.
B.
It is divisible by 6.
C.
It is an odd number.
D.
It is a prime number.
Show solution
Solution
A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Correct Answer:
B
— It is divisible by 6.
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Q. If a number is divisible by both 2 and 3, which of the following must it also be divisible by?
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Solution
A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Correct Answer:
B
— 6
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Q. If a number is divisible by both 2 and 5, what can be said about it?
A.
It is odd
B.
It is a multiple of 10
C.
It is a prime number
D.
It is a multiple of 20
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Solution
A number divisible by both 2 and 5 must end in 0, making it a multiple of 10.
Correct Answer:
B
— It is a multiple of 10
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Q. If a number is divisible by both 2 and 5, which of the following must be true?
A.
It is divisible by 10
B.
It is divisible by 15
C.
It is divisible by 20
D.
It is divisible by 25
Show solution
Solution
A number divisible by both 2 and 5 is also divisible by 10, as 10 is the least common multiple of 2 and 5.
Correct Answer:
A
— It is divisible by 10
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Q. If a number is divisible by both 3 and 4, which of the following must also be true?
A.
It is divisible by 12.
B.
It is divisible by 7.
C.
It is divisible by 6.
D.
It is divisible by 9.
Show solution
Solution
The least common multiple of 3 and 4 is 12, so any number divisible by both must also be divisible by 12.
Correct Answer:
A
— It is divisible by 12.
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Q. If a number is divisible by both 3 and 5, which of the following is guaranteed to be true?
A.
It is divisible by 15
B.
It is divisible by 8
C.
It is divisible by 10
D.
It is divisible by 6
Show solution
Solution
A number divisible by both 3 and 5 is also divisible by their least common multiple, which is 15.
Correct Answer:
A
— It is divisible by 15
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Quantitative Aptitude (CAT) MCQ & Objective Questions
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!
