2017 November NTA UGC NET Paper 1
October 11, 2023Computer-Organization
October 11, 2023Digital-Logic-Design
| Question 22 |
Given √224)r = 13)r.
The value of the radix r is:
| 10 | |
| 8 | |
| 5 | |
| 6 |
Question 22 Explanation:
(√224)r = (13)r
Convert r base to decimal.
√2r2 + 25 + 4 = r + 3
Take square both sides,
2r2 + 2r + 4 = r2 + 6r + 9
r2 – 4r – 5 = 0
r2 – 5r + r – 5 = 0
r(r – 5) + (r – 5) = 0
r = -1, 5
r cannot be -1,
So r = 5 is correct answer.
Convert r base to decimal.
√2r2 + 25 + 4 = r + 3
Take square both sides,
2r2 + 2r + 4 = r2 + 6r + 9
r2 – 4r – 5 = 0
r2 – 5r + r – 5 = 0
r(r – 5) + (r – 5) = 0
r = -1, 5
r cannot be -1,
So r = 5 is correct answer.
Correct Answer: C
Question 22 Explanation:
(√224)r = (13)r
Convert r base to decimal.
√2r2 + 25 + 4 = r + 3
Take square both sides,
2r2 + 2r + 4 = r2 + 6r + 9
r2 – 4r – 5 = 0
r2 – 5r + r – 5 = 0
r(r – 5) + (r – 5) = 0
r = -1, 5
r cannot be -1,
So r = 5 is correct answer.
Convert r base to decimal.
√2r2 + 25 + 4 = r + 3
Take square both sides,
2r2 + 2r + 4 = r2 + 6r + 9
r2 – 4r – 5 = 0
r2 – 5r + r – 5 = 0
r(r – 5) + (r – 5) = 0
r = -1, 5
r cannot be -1,
So r = 5 is correct answer.
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