CUET UG 2025 — General Test Quantitative Reasoning

A perfect square is a whole number multiplied by itself.

To find perfect squares between 150 and 250, first identify the range of base numbers.

For the lower bound:

$12 \times 12 = 144$12×12=144 (less than 150)

$13 \times 13 = 169$13×13=169 (greater than 150)

For the upper bound:

$15 \times 15 = 225$15×15=225 (less than 250)

$16 \times 16 = 256$16×16=256 (greater than 250)

The perfect squares between 150 and 250 are from $13^2$132 to $15^2$152.

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The perfect squares in this range are:

$$13^2 = 169$$132=169

$$14^2 = 196$$142=196

$$15^2 = 225$$152=225

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Sum $= 169 + 196 + 225$=169+196+225

$$= 365 + 225$$=365+225

$$= 590$$=590

Therefore, the sum of perfect squares between 150 and 250 is $590$590.