If (73)2 is subtracted from the square of a number, the answer so obtained is 5075. What is the number ?
A. 96
B. 98
C. 102
D. 106
Answer: Option C
Solution(By Examveda Team)
Let the number be xThen,
$$\eqalign{ & \Leftrightarrow {x^2} - {\left( {73} \right)^2} = 5075 \cr & \Leftrightarrow {x^2} - 5329 = 5075 \cr & \Leftrightarrow {x^2} = 5075 + 5329 \cr & \Leftrightarrow {x^2} = 10404 \cr & \Leftrightarrow x = \sqrt {10404} \cr & \Leftrightarrow x = 102 \cr} $$
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
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