2017 November NTA UGC NET Paper 1
October 11, 2023Computer-Organization
October 11, 2023Number-Systems
Question 11 |
Given √224)r = 13)r.
The value of the radix r is:
10 | |
8 | |
5 | |
6 |
Question 11 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 11 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.
Subscribe
Login
0 Comments