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SSC CPO Tier 1 Exam 9 Dec 2025 Shift 2

Section: Quantitative Aptitude

Question : 101 of 200

Marks: +1, -0

Solve:(56.75)^{2} - 3220

$- 0.5625$
0.5625
2.5625
$- 2.5625$

Validate

Solution:

Concept:

When squaring a decimal number with a fractional part, the result often has a decimal continuation. Subtracting a nearby whole number gives a small decimal value.

Explanation:

First, compute the square:

56.75^2 = (56 + 0.75)^2 = 56^2 + 2 \times 56 \times 0.75 + 0.75^2

56^2 = 3136

2 \times 56 \times 0.75 = 84

0.75^2 = 0.5625

. Adding:

3136 + 84 = 3220

, then

3220 + 0.5625 = 3220.5625

Now subtract 3220:

3220.5625 - 3220 = 0.5625

Answer:

Option B: 0.5625

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