Aptitude - Surds and Indices - Discussion
Discussion Forum : Surds and Indices - General Questions (Q.No. 3)
3.
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
Answer: Option
Explanation:
xz = y2 
10(0.48z) = 10(2 x 0.70) = 101.40
0.48z = 1.40
| z = |
140 | = | 35 | = 2.9 (approx.) |
| 48 | 12 |
Discussion:
20 comments Page 1 of 2.
Rakesh Tanti said:
8 months ago
Difficult to understand. Anyone, please explain.
(2)
Dheeraj verma said:
1 year ago
@All.
Please, can anyone explain in more briefly how we have got 10 (0. 48z) = 10 (2 x 0. 70) = 101. 40?
Please, can anyone explain in more briefly how we have got 10 (0. 48z) = 10 (2 x 0. 70) = 101. 40?
(1)
Zaid Shaikh said:
2 years ago
It's like half (0.48) z is 1.40 then full z (0.96) 2.80 therefore 1 Z is 2.9.
(4)
Monisha Mohanan said:
3 years ago
X^ z = y ^ 2
[10^ .048]^z = [10 ^0.70]^2
Taking log on both sides,
Log [10^ .048]^z = log [10 ^0.70]^2
Log a^b^c = c log a^ b
And similarly c log a^b = c*b log a
Z log10^ .048 = 2 log 10 ^0.70
Z * .48 log 10 = 2 * 0.70 log 10
.48 z = 1.4 here log 10 = 1.
Z = 1.4 /.48.
For easy calculation multiplying it by 100,
Z = 140/48 = 2.9.
[10^ .048]^z = [10 ^0.70]^2
Taking log on both sides,
Log [10^ .048]^z = log [10 ^0.70]^2
Log a^b^c = c log a^ b
And similarly c log a^b = c*b log a
Z log10^ .048 = 2 log 10 ^0.70
Z * .48 log 10 = 2 * 0.70 log 10
.48 z = 1.4 here log 10 = 1.
Z = 1.4 /.48.
For easy calculation multiplying it by 100,
Z = 140/48 = 2.9.
Naman said:
5 years ago
I cannot understand it.
(1)
Jesophat said:
6 years ago
48/100 = 0.48z =1.4z.
Akhila said:
7 years ago
@Jaichu.
For both nums decimal at the same place. So, a decimal can be removed.
For both nums decimal at the same place. So, a decimal can be removed.
Aniket Gaikwad said:
8 years ago
Thanks @Tulasi.
Jaichu said:
8 years ago
Please explain me.
0.48z = 1.40.
z =140/48.
How could they multiply it?
0.48z = 1.40.
z =140/48.
How could they multiply it?
Thiyaguaxrev4fvtr said:
9 years ago
How to get the answer? Please explain me.
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