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Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b is
- a)1
- b)0
- c)5
- d)6
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Let a, b, c be distinct digits. Consider a two-digit number ‘ab&...
(ab)2 = ccb
ccb > 300
The last digit of the number ab must be same as that of the square of ab.
So, b can be 0, 1, 5 or 6.
202 =400 and 302 =900 are three digit numbers and greater than 300. But the first 2 digits are not same. Hence, b is not 0.
ccb > 300
The last digit of the number ab must be same as that of the square of ab.
So, b can be 0, 1, 5 or 6.
202 =400 and 302 =900 are three digit numbers and greater than 300. But the first 2 digits are not same. Hence, b is not 0.
If b is 5, then the ten's digit of ab's square will be 2 => c = 2. But if c is 2, then ccb is not greater than 300. Hence, b is not 5.
If b is 6, then 262 = 576 is the only three digit number that is greater than 300. But, it is not in the form of ccb => b is not 6.
If b is 1, then 212 =441 satisfies all the given conditions => b is 1
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Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b isa)1b)0c) 5d)6Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b isa)1b)0c) 5d)6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b isa)1b)0c) 5d)6Correct answer is option 'A'. Can you explain this answer?.
Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b isa)1b)0c) 5d)6Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b isa)1b)0c) 5d)6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b isa)1b)0c) 5d)6Correct answer is option 'A'. Can you explain this answer?.
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