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What is the largest number among the following?
- a)(1/2)-1
- b)(1/4)-3
- c)(1/3)-4
- d)(1/6)-2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the largest number among the following?a)(1/2)-1b)(1/4)-3c)(1/...
Solution:
To compare these numbers, we need to convert them into a common denominator. The least common multiple of 2, 4, 3, and 6 is 12. So, we can write:
a) (1/2) - 1 = (6/12) - (12/12) = -6/12
b) (1/4) - 3 = (3/12) - (12/12) = -9/12
c) (1/3) - 4 = (4/12) - (12/12) = -8/12
d) (1/6) - 2 = (2/12) - (12/12) = -10/12
Now, it is clear that the largest number is -8/12, which is option (c).
Therefore, the correct answer is option (c), (1/3)-4.
To compare these numbers, we need to convert them into a common denominator. The least common multiple of 2, 4, 3, and 6 is 12. So, we can write:
a) (1/2) - 1 = (6/12) - (12/12) = -6/12
b) (1/4) - 3 = (3/12) - (12/12) = -9/12
c) (1/3) - 4 = (4/12) - (12/12) = -8/12
d) (1/6) - 2 = (2/12) - (12/12) = -10/12
Now, it is clear that the largest number is -8/12, which is option (c).
Therefore, the correct answer is option (c), (1/3)-4.
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Community Answer
What is the largest number among the following?a)(1/2)-1b)(1/4)-3c)(1/...
(1/4)^-3 = 4^3 =64. Next,
(1/3)^-4 =3^4 =81. Again next,
(1/6)^-2 =6^2 =36.
Hence, the largest number among them is 81 i.e., (1/3)^-4. So, the correct answer is option c.
(1/3)^-4 =3^4 =81. Again next,
(1/6)^-2 =6^2 =36.
Hence, the largest number among them is 81 i.e., (1/3)^-4. So, the correct answer is option c.
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What is the largest number among the following?a)(1/2)-1b)(1/4)-3c)(1/3)-4d)(1/6)-2Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What is the largest number among the following?a)(1/2)-1b)(1/4)-3c)(1/3)-4d)(1/6)-2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the largest number among the following?a)(1/2)-1b)(1/4)-3c)(1/3)-4d)(1/6)-2Correct answer is option 'C'. Can you explain this answer?.
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