Multiple choice

The least number, which when divided by 35, 45, 55 leaves the remainders 18, 28, 38 respectively, is

  1. 3448

  2. 3482

  3. 2468

  4. 3265
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A Correct answer
Explanation

The differences between divisors and remainders are constant: 35-18=17, 45-28=17, 55-38=17. The number is LCM(35, 45, 55) - 17. LCM(35, 45, 55) = 3465. 3465 - 17 = 3448.

AI explanation

Notice the difference between each divisor and its corresponding remainder is a constant 17, since 35 - 18 = 17, 45 - 28 = 17 and 55 - 38 = 17. The required least number will be the least common multiple of 35, 45 and 55 minus 17. Calculate the LCM as 3465, subtract 17, and the result is 3448.

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