Q. If a number in base 8 is represented as '57', what is its equivalent in base 10?
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Solution
'57' in base 8 = 5*8^1 + 7*8^0 = 40 + 7 = 47 in decimal.
Correct Answer:
B
— 49
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Q. If a number in base-3 is represented as '210', what is its decimal equivalent?
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Solution
'210' in base-3 is 2*3^2 + 1*3^1 + 0*3^0 = 18 + 3 + 0 = 21.
Correct Answer:
B
— 19
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Q. If a number in base-6 is represented as '54', what is its decimal equivalent?
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Solution
'54' in base 6 is calculated as 5*6^1 + 4*6^0 = 30 + 4 = 34.
Correct Answer:
B
— 32
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Q. If a number in base-6 is represented as 405, what is its decimal equivalent?
A.
145
B.
150
C.
155
D.
160
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Solution
To convert from base-6 to decimal, calculate 4*6^2 + 0*6^1 + 5*6^0 = 4*36 + 0 + 5 = 144 + 5 = 149.
Correct Answer:
B
— 150
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Q. If a number is a factor of 100, which of the following cannot be a factor?
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Solution
75 is not a factor of 100.
Correct Answer:
D
— 75
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Q. If a number is a factor of 24 and a multiple of 3, which of the following could be that number?
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Solution
6 is a factor of 24 and also a multiple of 3.
Correct Answer:
A
— 6
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Q. If a number is a factor of 24 and a multiple of 3, which of the following is the smallest such number?
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Solution
The smallest number that is both a factor of 24 and a multiple of 3 is 3.
Correct Answer:
A
— 3
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Q. If a number is a factor of 36 and a multiple of 4, which of the following numbers could it be?
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Solution
12 is a factor of 36 and also a multiple of 4, as 12 = 4 * 3.
Correct Answer:
B
— 12
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Q. If a number is a factor of 36, which of the following numbers is NOT a factor?
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Solution
All options are factors of 36 except for 9, which is a factor but not a multiple of 4.
Correct Answer:
D
— 9
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Q. If a number is a multiple of 15, which of the following cannot be true?
A.
It is a multiple of 3.
B.
It is a multiple of 5.
C.
It is an even number.
D.
It is a multiple of 30.
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Solution
A multiple of 15 is not guaranteed to be even, as 15 itself is odd.
Correct Answer:
C
— It is an even number.
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Q. If a number is a multiple of 15, which of the following must also be true?
A.
It is a multiple of 3.
B.
It is a multiple of 5.
C.
It is a multiple of 10.
D.
Both 1 and 2.
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Solution
Since 15 = 3 × 5, any multiple of 15 must also be a multiple of both 3 and 5.
Correct Answer:
D
— Both 1 and 2.
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Q. If a number is a multiple of 7 and 9, which of the following numbers could it be? (2023)
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Solution
63 is a multiple of both 7 and 9 (7*9=63), while the others are not.
Correct Answer:
A
— 63
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Q. If a number is a multiple of 8 and 12, which of the following is the smallest such number? (2023)
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Solution
The least common multiple of 8 and 12 is 24, making it the smallest number that is a multiple of both.
Correct Answer:
A
— 24
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Q. If a number is a multiple of 8, which of the following must also be true?
A.
It is a multiple of 4.
B.
It is a multiple of 2.
C.
It is an even number.
D.
All of the above.
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Solution
All statements are true as multiples of 8 are also multiples of 4, 2, and are even.
Correct Answer:
D
— All of the above.
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Q. If a number is a multiple of 9, which of the following must also be true?
A.
It is a multiple of 3.
B.
It is a multiple of 27.
C.
It is a prime number.
D.
It is an even number.
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Solution
All multiples of 9 are also multiples of 3.
Correct Answer:
A
— It is a multiple of 3.
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Q. If a number is a multiple of both 3 and 4, which of the following is guaranteed to be true?
A.
It is a multiple of 7.
B.
It is a multiple of 12.
C.
It is a multiple of 10.
D.
It is a multiple of 9.
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Solution
The least common multiple of 3 and 4 is 12, so any multiple of both must also be a multiple of 12.
Correct Answer:
B
— It is a multiple of 12.
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Q. If a number is a multiple of both 4 and 6, which of the following must also be true?
A.
It is a multiple of 12.
B.
It is a multiple of 24.
C.
It is a multiple of 10.
D.
It is a multiple of 8.
Show solution
Solution
The least common multiple of 4 and 6 is 12, so any number that is a multiple of both must also be a multiple of 12.
Correct Answer:
A
— It is a multiple of 12.
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Q. If a number is a multiple of both 4 and 6, which of the following must it also be a multiple of?
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Solution
The least common multiple of 4 and 6 is 12, so any multiple of both must also be a multiple of 12.
Correct Answer:
A
— 12
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Q. If a number is a multiple of both 5 and 7, which of the following is a possible value for this number?
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Solution
35 is a multiple of both 5 and 7 (5*7=35).
Correct Answer:
A
— 35
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Q. If a number is a multiple of both 5 and 7, which of the following is true?
A.
It is a multiple of 35.
B.
It is a multiple of 12.
C.
It is a multiple of 10.
D.
It is a multiple of 14.
Show solution
Solution
The least common multiple of 5 and 7 is 35, so any number that is a multiple of both must also be a multiple of 35.
Correct Answer:
A
— It is a multiple of 35.
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Q. If a number is a multiple of both 7 and 9, which of the following numbers is a possible candidate?
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Solution
63 is a multiple of both 7 (7x9) and 9 (9x7).
Correct Answer:
A
— 63
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Q. If a number is a multiple of both 8 and 14, which of the following numbers is guaranteed to be a factor of that number? (2023)
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Solution
Since any multiple of 8 and 14 must also be a multiple of their GCD, which includes 2 as a factor.
Correct Answer:
D
— 2
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Q. If a number is both a factor and a multiple of 6, which of the following could it be?
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Solution
The number 6 is a factor of itself and also a multiple of 6, making it the only valid option.
Correct Answer:
A
— 6
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Q. If a number is both a factor of 24 and a multiple of 3, which of the following could it be?
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Solution
12 is a factor of 24 and also a multiple of 3, as 12 = 3 * 4.
Correct Answer:
D
— 12
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Q. If a number is both a factor of 36 and a multiple of 4, which of the following could be that number?
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Solution
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Among these, 12 is a multiple of 4.
Correct Answer:
B
— 12
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Q. If a number is both a factor of 36 and a multiple of 6, which of the following is the largest such number?
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Solution
The factors of 36 that are also multiples of 6 are 6, 12, and 18. Among these, 18 is the largest.
Correct Answer:
C
— 18
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Q. If a number is both a multiple of 4 and a factor of 48, which of the following numbers could it be?
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Solution
The multiples of 4 that are also factors of 48 are 4, 8, 12, and 16. Among the options, 8 is valid.
Correct Answer:
A
— 8
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Q. If a number is congruent to 0 modulo 6, which of the following could be a possible value?
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Solution
A number congruent to 0 mod 6 must be a multiple of 6. 12 is a multiple of 6.
Correct Answer:
B
— 12
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Q. If a number is divided by 11 and gives a remainder of 7, what is the remainder when this number is divided by 3? (2023)
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Solution
The number can be expressed as 11k + 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, what is the possible range of this number? (2023)
A.
7 to 19
B.
19 to 31
C.
31 to 43
D.
43 to 55
Show solution
Solution
The number can be expressed as 12k + 7, where k is a non-negative integer. For k=0, the number is 7; for k=1, it is 19.
Correct Answer:
A
— 7 to 19
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Showing 541 to 570 of 2503 (84 Pages)
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!
