Practice Divisibility rules Questions and Answers

• . Which of the following numbers is divisible by 24?
• which of the following pairs of non-zeroes values of p and q make the 6-digit number 674pq0 divisible by both 3 and 11?
• If the polynomial (2x3 + ax2  + 3x-5) and (x3 + ax² - 2x + a) leave the same remainder when divided by (x - 2), find the remainder....
• Find the remainder when 413 is divided by 5.
• When a natural number 'n' is divided by 4, the remainder is 3. What will be the remainder when (2n + 3) is divided by 4?
• How many 3 digit numbers are divisible by 3?
• x + 5x – 2x – 24 has a zero at x = 6. Find the other zeros.
• Which of the following numbers is divisible by 22?
• What is the value of a so that the seven-digit number 4645a52 is divisible by 72?
• On dividing a certain number by 304, we get 43 as the remainder. If the same number is divided by 16, what will be the remainder?
• A six-digit number 23p7q6 is divisible by 24. Then the greatest possible value for (p + q) is:
• A six-digit number 27p5q8 is divisible by 36. What is the greatest possible value for (p×q)?
• If a nine-digit number 89563x87y is divisible by 72, then the value of √ (5x -4y) will be ∶
• If the seven-digit number 5728p9 is exactly divisible by 11, then what is the value of (11 p), where p > 0?
• What is the remainder of function 5a³–15a² +14a–3 when divided by (2a-2)?
• How many factors of 23 × 33 × 54 × 73 are divisible by 50 but not by 100.
• Find the largest 4-digit number divisible by 88.
• What is the remainder when 123456 is divided by 9?
• If 65x is a three-digit number and it is divisible by 6, what can be the value of the digit x?
• How many divisors does the number 5040 have?
• What is the value of (2² + 3²) × (4³ + 5³) ÷ (6⁴)?
• Find the smallest number divisible by 45, 60, and 75 that is greater than 1500.
• Find the smallest number divisible by 36, 48, and 60 that is greater than 2000.
• Find the smallest number divisible by 12, 18, and 24 that is greater than 1000.
• What will be the remainder when 577 + 87 is divided by 13?
• If 2557 + 819 is divisible by which of the following numbers.
• If 45780x52 is divisible by 72, then find the sum of all possible values of 'x'.
• What is the smallest number that is divisible by both 18 and 24 and is greater than 200?
• The largest 5 digit number which is exactly divisible by ‘33’ is:
• Which of the following numbers is divisible by 11?
• If 'x' is the smallest positive integer divisible by 9, 15, and 28, then determine the second smallest positive integer that is divisible by all three of t...
• When a number is divided by 23, the quotient obtained is 168, and the difference between the quotient and the remainder is 152. Determine the number.
• Find the smallest number that, when divided by 6, 8, and 12, leaves a remainder of 5 in each case.
• How many numbers between 100 and 500 are divisible by both 4 and 6?
• Find the largest 4-digit number that is exactly divisible by 27 and 45.
• If ‘48b297a54’ is a nine digit number which is divisible by ‘11’, then find the smallest value of (a + b).
• When a number is divided by 8, the remainder is half of the divisor and the quotient is 3 more than twice the product of the divisor and remainder. Find th...
• Which of the following numbers is divisible by 11?
• Which of the following numbers is divisible by 11?
• Which of the following numbers is divisible by 11?