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Find the least number which will leave the remainder 5 when divided by 8, 12, 16, and 20.
  • a)
    240
  • b)
    245
  • c)
    265
  • d)
    235
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the least number which will leave the remainder 5 when divided b...
We have to find the Least number, therefore we find out the LCM of 8, 12, 16 and 20.
⇒ 8 = 2 × 2 × 2;
⇒ 12 = 2 × 2 × 3;
⇒ 16 = 2 × 2 × 2 × 2;
⇒ 20 = 2 × 2 × 5;
LCM = 2 × 2 × 2 × 2 × 3 × 5 = 240;
This is the least number which is exactly divisible by 8, 12, 16 and 20.
Thus,
Required number which leaves remainder 5 is,
⇒ 240 + 5 = 245
Hence, the correct option is (B).
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Find the least number which will leave the remainder 5 when divided by 8, 12, 16, and 20.a)240b)245c)265d)235Correct answer is option 'B'. Can you explain this answer?
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