Practice Test Discussion

Fifty three per cent of a number is 358 less than the square of 26. What is the value of three fourth of 23 percent of that number?

[Corporation Bank (PO), 2011]

101

109.5

113

103.5

None of these

Explanation

Let the number be 'x'

$\begin{array}{l} Then, 53% of x {= (26)}^{2} - 358. \\ \Rightarrow \frac{53}{100} \times x = 676 - 358 \\ \Rightarrow x = \frac{318 \times 100}{53} = 600 \\ S o, \frac{3}{4} \times 23 % \times 600 \end{array} \Rightarrow \frac{3}{4} \times \frac{23}{100} \times 600 = 69 \times 1 .5 = 103 .5$

Hence, Option D is correct.

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