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Question 1 of 6
hard
When a number is divided by 9, the quotient equals the remainder. What is the largest such number less than 100?
Explanation: Let quotient = remainder = x (where x < 9). Number = 9x + x = 10x. For x=8: number=80. 80/9=8 R8. Largest valid answer is 80.
Question 2 of 6
hard
Find the missing digit: 7_4 / 6 = 124
Explanation: 6 x 124 = 744. So the missing digit is 4.
Question 3 of 6
hard
What is the remainder when the product of 15 and 23 is divided by 8?
Explanation: 15 x 23 = 345. 345 / 8 = 43 R1 (8 x 43 = 344).
Question 4 of 6
hard
Divisor = 6, quotient = 84, remainder = 5. If we add 10 to the dividend and divide by 6 again, the new remainder is:
Explanation: Original dividend = (6 x 84) + 5 = 509. New dividend = 519. 519 / 6 = 86 R3.
Question 5 of 6
hard
Which is ALWAYS true about remainders?
Explanation: By definition, remainder must be less than divisor. If remainder >= divisor, we can divide further.
Question 6 of 6
hard
A number leaves remainder 3 when divided by 5 AND remainder 2 when divided by 4. The smallest such number is:
Explanation: Check 18: 18/5=3R3 and 18/4=4R2. Both conditions satisfied. 13: 13/4=3R1 (fails). 18 is the smallest.
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