CUET UG 2025 — General Test Quantitative Reasoning

To find the nearest integer to 6650 that is exactly divisible by 429, divide 6650 by 429:

$$6650 \div 429 = 15.501...$$6650÷429=15.501...

This means 6650 is between the 15th and 16th multiples of 429.

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The two nearest multiples of 429 are:

$$429 \times 15 = 6435$$429×15=6435

$$429 \times 16 = 6864$$429×16=6864

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Calculate the distance from 6650 to each multiple:

Distance to 6435:

$$6650 - 6435 = 215$$6650−6435=215

Distance to 6864:

$$6864 - 6650 = 214$$6864−6650=214

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Since $214 < 215$214<215, the number 6864 is closer to 6650.

Therefore, the nearest integer to 6650 which is exactly divisible by 429 is 6864.