Practice Divisibility rules Questions and Answers

• How can 420 mobile phones be shared equally in the students present in the classroom?
• Which of the following numbers will completely divide 412 + 413+ 414 + 415 + 416?
• . 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....
• What is the minimum value of X for which 437X6 is divisible by 9?
• 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.
• Find the quotient of 0.36 ÷ 0.48 (correct to three decimal places).
• What is the remainder when 219 is divided by 3?
• If the 6-digit number 589y72 is completely divisible by 8, then the smallest integer in place of y will be:
• If the 6-digit number 324a16 is completely divisible by 8, then the largest integer that can replace a is:
• If the number 10293y8 is divisible by 11, then what is the value of y?
• Which of the following numbers is divisible by 22?
• 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 number 'a' is divisible by 18 and another number 'b' is divisible by 12, then (a2 – b2) is divisible by:
• 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.
• Find the largest number that divides 400, 500, and 600, leaving remainders 10, 20, and 30 respectively.
• A number when divided by 45 leaves a remainder 21. What will be the remainder when the square of the same number is divided by 45?
• 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?
• Which of the following number is divisible by 8?
• 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: