Real numbers
Grade Class 10
Question:
<p><strong>Assertion (A):</strong> If a number x is divided by y(x, y) (both x and y are positive) then remainder will be less than x.<br />
<strong>Reason (R):</strong> Dividend = Divisor <span class="math-tex">\(\times\)</span> Quotient + Remainder.</p>
<p style="display:inline">Both A and R are true and R is the correct explanation of A.</p>
<p style="display:inline">Both A and R are true but R is not the correct explanation of A.</p>
<p style="display:inline">A is true but R is false.</p>
<p style="display:inline">A is false but R is true.</p>
Step-by-Step Solution
Key Concept: The division algorithm states that for positive integers x and y, the remainder r satisfies the condition 0 ≤ r < y, meaning it is strictly limited by the divisor and not the dividend.
<p>Remainder is less than by divisor not by divident.</p>
Correct Answer: D