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A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places is either 0 or divisible by ______.

Answer: 11 A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places are... View Article

A four-digit number abcd is divisible by 11, if d + b = _ or _.

Answer: If the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11 completely. A... View Article

1 x 35 is divisible by 9 if x = _______.

Answer: 0 1 x 35 is divisible by 9 if x = 0. A number is divisible by 9 if the sum of its digits is also divisible by 9. The sum of the digits is... View Article

The difference of three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ___________.

Answer: 11 The difference between the three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9... View Article

The difference of a two–digit number and the number obtained by reversing its digits is always divisible by ___________.

Answer: 9 Let “a” and “b” be the digits, then X = ab By reversing the digits, then take Y =ba Therefore The sum of... View Article

The sum of a two–digit number and the number obtained by reversing the digits is always divisible by __________.

Answer: 11 Let “a” and “b” be the digits, then X = ab By reversing the digits, then take Y =ba Therefore the sum of... View Article

3×5 is divisible by 9 if the digit x is __________.

Answer: 1 3 × 5 is divisible by 9 if the digit x is 1. It is known that, if a number is a multiple of 9, then the sum of digits of a number... View Article

20×3 is a multiple of 3 if the digit x is or or __.

Answer: 1 or 4 or 7 It is known that, when a number is a multiple of 3, if the sum of digits in the number is a multiple of 3 By equating the... View Article

3134673 is divisible by 3 and ______.

Answer: 9 3134673 is divisible by 3 and 9. Let us consider the sum of the digit of 3134673 The Sum of digits of 3134673 = 3 + 1 + 3 + 4 + 6 + 7 +... View Article

Which of the following numbers is divisible by 99 (a) 913462 (b) 114345 (c) 135792 (d) 3572406

Answer: (b) 114345 If a number is divisible is 99, it should be divisible by both 9 and 11. Consider option (a) 913462 Sum of digits = 9 + 1 +... View Article

If 6 A × B = A 8 B, then the value of A – B is (a) –2 (b) 2 (c) –3 (d) 3

Answer: (a) -2 Given that, 6 A × B = A 8 B So, AB = B Therefore A = 1 Now substitute A = 1 in the given equation 6B = A8 6B = 18 B = 18/6 B... View Article

If 5 A × A = 399, then the value of A is (a) 3 (b) 6 (c) 7 (d) 9

Answer: In the 1’s place, the product of A and A gives 9. Here, A is a number whose multiplication gives the two digit number having 9 in... View Article

If A 3 + 8 B = 150, then the value of A + B is (a) 13 (b) 12 (c) 17 (d) 15

Answer: From the question, In 1’s place, we have to add 3 + B = 0 Since B is a digit, the value of B should between 0 and 9 When you... View Article

If 5 A + B 3 = 65, then the value of A and B is (a) A = 2, B = 3 (b) A = 3, B = 2 (c) A = 2, B = 1 (d) A = 1, B = 2

Answer: (c) A = 2, B = 1 In the 1’s column A +3 = 5 When A is added with 3, it gives 5 Since A is a digit, it should be between 0 and 9... View Article

If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is (a) an odd multiple of 3 (b) odd multiple of 6 (c) even multiple of 3 (d) even multiple of 9

Answer: (a) an odd multiple of 3 Given that, the sum of the digits xyz is given as x+y+z is 6, where z is an odd integer. The divisibility test... View Article

If the sum of digits of a number is divisible by three, then the number is always divisible by (a) 2 (b) 3 (c) 6 (d) 9

Answer: (b) 3 If the sum of the digits of a number is divisible by 3, then the number is also divisible by 3. Consider the number 372, then 3 + 7... View Article

A six-digit number is formed by repeating a three-digit number. For example 256256, 678678, etc. Any number of this form is divisible by (a) 7 only (b) 11 only (c) 13 only (d) 1001

Answer: (d) 1001 From the given question, the number should be of the form abcabc So the general form of abcabc is 1000000a +100000b + 1000c +... View Article