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Present ages of Rajeev and Anand are in the ratio of 7: 10 respectively. Five years hence, the ratio of their ages will become 8: 11 respectively. If the Sum of the present age of Rajeev and Anand is ab. then, find what the unit digit of (ab) is?

  • a)
    2

  • b)
    6

  • c)
    5

  • d)
    8

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Present ages of Rajeev and Anand are in the ratio of 7: 10 respectivel...
Let the present ages of Rajeev and Anand be 7x and 10x years respectively.
Then,
⇒ 77x + 55 = 80x + 40
⇒ 3x = 15
⇒ x = 5
So, the present ages of Rajeev and Anand are (7 x 5)and (10 x 5) respectively.
The sum of their ages = (35 + 50) = 85 Hence, a = 8 and b = 5
Then, ab = 85
We know unit digit of 8 repeated after 4 powers. So, unit digit of 85 = unit digit of 81 ⇒ 8
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Most Upvoted Answer
Present ages of Rajeev and Anand are in the ratio of 7: 10 respectivel...
Given: The present ages of Rajeev and Anand are in the ratio of 7:10, and Five years hence, the ratio of their ages will become 8:11 respectively.

Let the present age of Rajeev be 7x and Anand be 10x. Then, according to the given condition, after five years, their ages will be (7x+5) and (10x+5) respectively.

Now, as per the second condition, (7x+5)/(10x+5) = 8/11 => 77x + 55 = 80x + 40 => 3x = 15 => x = 5.

Therefore, the present age of Rajeev and Anand are 35 and 50 respectively. Thus, the sum of their present ages is 85 (i.e., ab = 85).

The unit digit of 85 is 5, and hence the correct answer is option (d) 8.
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Present ages of Rajeev and Anand are in the ratio of 7: 10 respectively. Five years hence, the ratio of their ages will become 8: 11 respectively. If the Sum of the present age of Rajeev and Anand is ab. then, find what the unit digit of (ab) is?a)2b)6c)5d)8Correct answer is option 'D'. Can you explain this answer?
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Present ages of Rajeev and Anand are in the ratio of 7: 10 respectively. Five years hence, the ratio of their ages will become 8: 11 respectively. If the Sum of the present age of Rajeev and Anand is ab. then, find what the unit digit of (ab) is?a)2b)6c)5d)8Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Present ages of Rajeev and Anand are in the ratio of 7: 10 respectively. Five years hence, the ratio of their ages will become 8: 11 respectively. If the Sum of the present age of Rajeev and Anand is ab. then, find what the unit digit of (ab) is?a)2b)6c)5d)8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Present ages of Rajeev and Anand are in the ratio of 7: 10 respectively. Five years hence, the ratio of their ages will become 8: 11 respectively. If the Sum of the present age of Rajeev and Anand is ab. then, find what the unit digit of (ab) is?a)2b)6c)5d)8Correct answer is option 'D'. Can you explain this answer?.
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