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If AB + 7C = 102, where B ≠ 0, C ≠ 0, then A + B + C = 14. State whether the statement given is true (T) or false (F).

Answer: True From the given number, B + C is either 2 or the two-digit number that gives the unit digit as 2. It is given that B ≠ 0, C ≠... View Article

If AB × 4 = 192, then A + B = 7. State whether the statement given is true (T) or false (F).

Answer: False From the given question, the value of B should be either 3 or 8. If you take the value of B as 3, it should be equal to 19. Hence,... View Article

If a number a is divisible by b, then it must be divisible by each factor of b. State whether the statement given is true (T) or false (F).

Answer: True Let a = 27 b = 9 Here, when 27 is divisible by 9, we will get 3 Now, consider the factor of 9 = 1, 3 and 9 In this case, 27 is... View Article

Number 7N + 1 will leave remainder 1 when divided by 7. State whether the statement given is true (T) or false (F).

Answer: True The given number is of the form 7N + 1 It can be written as (multiples of 7) + 1 When the given number 7N + 1 is divide by 7, we... View Article

Number of the form 3N + 2 will leave remainder 2 when divided by 3. State whether the statement given is true (T) or false (F).

Answer: True The given number is of the form 3N + 2 It can be written as (multiples of 3) + 2 When the given number 3N+2 is divide by 3, we will... View Article

A three-digit number abc is divisible by 6 if c is an even number and a + b + c is a multiple of 3. State whether the statement given is true (T) or false (F).

Answer: True In case, if a number is divisible by 6, it is also divisible by 2 and 3. If c is an even number, then the sum of digits is divisible by 3.... View Article

A four-digit number abcd is divisible by 4 if ab is divisible by 4. State whether the statement given is true (T) or false (F).

Answer: False A four-digit number is divisible by 4 if the number is formed by its digit units and 10′s place is divisible by 4. Example:... View Article

A three-digit number abc is divisible by 5 if c is an even number. State whether the statement given is true (T) or false (F).

Answer: False If a number with three digits and if the unit digit is an even number, then the number is said to be an even number. A number is... View Article

A two-digit number ab is always divisible by 2 if b is an even number. State whether the statement given is true (T) or false (F).

Answer: True If a number with two digits and the number in the unit place is even, then the number is said to be an even number and it is... View Article

If the digit 1 is placed after a 2-digit number whose tens is t and one’s digit is u, the new number is ______.

Answer: 100t + 10u + 1 Placing 1 after the two-digit number is the indication that, shifts the given digit towards the left, so that t is now a... View Article

If B × B = AB, then either A = 2, B = 5 or A = , B = .

Answer: A = 1 and B = 6 If B × B = AB, then either A = 2, B = 5 or A = 1, B = 6. From the given equations, B can take the values between 4... View Article

If A × 3 = 1A, then A = ______.

Answer: 5 If A × 3 = 1A, then A = 5. Using the place values of the numbers, we can write it as: 10 + A = 3A 10 = 2A A = 5... View Article

If a 3-digit number abc is divisible by 11, then ______ is either 0 or multiple of 11.

Answer: (a + c) - b If a 3-digit number abc is divisible by 11, then (a + c) - b is either 0 or multiple of 11. A number is divisible by 11 if... View Article

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

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