Multiple choice

When a positive integer A is divided by a positive integer B, the remainder is 20. If A B = 50.4, what is the value of B?

  1. 84

  2. 65

  3. 52

  4. 50

  5. 32
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Interpreting the expression as A ÷ B = 50.4, the quotient is 50 and the remainder is 20. Hence A = 50B + 20 and also A = 50.4B, so 0.4B = 20 and B = 50.

AI explanation

Let A be written as B * Q + 20, where Q is the quotient and 20 is the remainder. Dividing both sides by B gives the relationship A / B = Q + (20 / B). We are given A / B = 50.4, so we can match the fractional parts to get 20 / B = 0.4. Solving this equation gives B = 20 / 0.4, which results in B = 50.

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