Mathematics · LCM and HCF

Let x be the least natural number which when divided by 21, 33, 35, and 55 leaves a remainder of 3 in each case, but x is exactly divisible by 67. What is the sum of the digits of x?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

113
215
317✓
418

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Let x be the least natural number which when divided by 21, 33, 35, and 55 leaves a remainder of 3 in each case, but x is exactly divisible by 67. What is the sum of the digits of x?

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Let x be the least natural number which when divided by 21, 33, 35, and 55 leaves a remainder of 3 in each case, but x is exactly divisible by 67. What is the sum of the digits of x?

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