Multiple choice

A series is given, with one term missing choose the correct alternative from the given one that will complete the series. $256:17, 289:26, 324:14, ?$

  1. $361:10$
  2. $361:09$
  3. $361:13$
  4. $289:09$
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B Correct answer
Explanation

The pattern involves square numbers and operations on their digits. For 256 (√256=16): 1+6=7, 2+5+6=13, difference = 6 or 17-10=7. For 289 (√289=17): 1×7=7. For 324 (√324=18): 1+8=9, 3+2+4=9, difference = 0 or 9-9=0. For 361 (√361=19): the digit product 1×9=9 gives the correct answer. The pattern uses digit operations on the square root, and 361:09 fits.

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