CUET UG 2025 — General Test Quantitative Reasoning

A perfect square is a number obtained when a whole number is multiplied by itself. For example, $11 \times 11 = 121$11×11=121, so $121$121 is a perfect square.

To find the starting point, determine which whole number squared gives a value just above $120$120:

$10 \times 10 = 100$10×10=100 (less than $120$120)

$11 \times 11 = 121$11×11=121 (greater than $120$120)

The first perfect square is $11^2 = 121$112=121.

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To find the ending point, determine which whole number squared gives a value just below $300$300:

$17 \times 17 = 289$17×17=289 (less than $300$300)

$18 \times 18 = 324$18×18=324 (greater than $300$300)

The last perfect square is $17^2 = 289$172=289.

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The perfect squares between $120$120 and $300$300 are:

$$11^2 = 121$$112=121

$$12^2 = 144$$122=144

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

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

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

$$16^2 = 256$$162=256

$$17^2 = 289$$172=289

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Counting these values gives $7$7 perfect squares between $120$120 and $300$300.