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Question

Subtracting which odd number will get the value of 288 for the square root of the number 484 using repeated subtraction method?

A
25
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B
23
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C
27
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D
29
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Solution

The correct option is C 27
Repeated subtraction method: Subtract successive odd numbers from the given number starting from 1 till the difference becomes zero.
So, 484 - 1 = 483
483 - 3 = 480
480 - 5 = 475
475 - 7 = 468
468 - 9 = 459
459 - 11 = 448
448 - 13 = 435
435 - 15 = 420
420 - 17 = 403
403 - 19 = 384
384 - 21 = 363
363 - 23 = 340
340 - 25 = 315
315 - 27 = 288
27 is the odd number, subtracting with 315 to get the value of 288.

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