Puzzles on Missing Digits

Q. If $AB\times 5=CAB$, then how many possible values of CAB exist?

1. 1
2. 2
3. 3
4. 4

Q. If 1A × A = 9A, then find A.

1. A = 6
2. A = 5
3. A = 4
4. A = 3

Q. By which of the following numbers is $1^{11}$ + $2^{11}$+ $3^{11}$+ $4^{11}$ essentially divisible:

1. 5
2. 7
3. 11
4. 3

Q. A number 74A is exactly divisible by 2 and leaves a remainder 1, when divided by 5. Find A.

1. 6

Q.

If 20a3 is a 4-digit number and a multiple of 3, then sum of the possible values of a is

1. 5

2. 12

3. 7

4. 4

Q. What is the remainder when a five-digit number 23abc is divided by 5, provided that 'c' is a non-zero natural number and is not bigger than 5?

1. c
2. c - 1
3. Either c or 0
4. Zero

Q. Question 11

In the given question, out of four options, only one is correct. Write the correct answer.

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

Q. If A2 − 15 = 5A, evaluate A.

1. 7
2. 8
3. 3
4. 6

Q. If A2 − 15 = 5A, where A is a digit, then evaluate A.

1. 7
2. 8
3. 3
4. 6

Q. What is the remainder when a five-digit number 23abc is divided by 5, provided that 'c' is a non-zero natural number and is not bigger than 5?

1. c
2. Either c or 0
3. c - 1
4. Zero

Q. If A2 + 15 = 8A, evaluate A.

Q. Find the value of A.
$8A535$
$45698$
$+A56987$
$\underset{–}{}$
$385AA0$
$\underset{–}{}$

1. 5
2. 9
3. 2
4. 3

Q. Multiplying 4 and the number 'AA', we get the result as 2A4. The value of A is

1. 6
2. 5
3. 4
4. 2

Q. If by dividing a three-digit number 3BA by 10, we get quotient as 34, then find the values of A and B.

1. B = 4

2. B = 3

3. A = 5

4. A = 0

Q. Find the sum of a least six digits number, which when divided by 4, 6, 10 and 15 leaves the remainder of 2 in each case.

1. 3
2. 4
3. 5
4. 6

Q.

What is to be added to $65.7$ to get $100$?

Q. If A2 − 15 = 5A, where A is a digit, then evaluate A.

1. 7
2. 8
3. 3
4. 6

Q. The defference between the numbers 'XY' and 'YX' is divisible by 11.

1. True
2. False

Q. P, Q, R, S, T, U and V are sitting along a circle and facing at the centre. P is between T and S, U is between Q and V. Q is second to the right of T.
Which of the following is the correct position of V?

1. 2nd to the left of P
2. to the immediate left of U
3. between P and U
4. None of these

Q. If AA x AA = A2A, what is the value of A?

1. 2
2. 3
3. 1
4. 4

Q. $\mathrm{Consider}\mathrm{the}\mathrm{following}\mathrm{addition}\mathrm{and}\mathrm{match}\mathrm{the}\mathrm{unknown}\mathrm{digits}\mathrm{with}\mathrm{the}\mathrm{correct}\mathrm{values}$
$\begin{array}{cccc}& Q& 0& 4\\ +& A& C& Q\\ & 9& 2& 1\end{array}$

1. 7
2. 2
3. 1

Q. $149600\text{is expressed as}1.496\times {10}^a$
Find the value of a.

1. 5

Q. For what values of C, 76C ÷ 5 leaves remainder 2?

1. C = 2
2. C = 3
3. C = 7
4. C = 4

Q. find the L.C.M. of the following algebraic expressions: $\left(x^2{y}^2-x^2\right);\left(x{y}^2-2xy+x\right)$

Q. Prove that an integer is divisible by 9 if and only if the sum of its digits is divisible by 9.

Q. The defference between the numbers 'XY' and 'YX' is divisible by 11.

1. True
2. False

Q. A number 74A is exactly divisible by 2 and leaves a remainder 1, when divided by 5. Find A.

1. 2
2. 4
3. 6
4. 8

Q.

Find the values of A and B $$\begin{array}{c}12A\\ +6AB\\ A09\end{array}$$

1. A = 8, B = 1

2. A = 1, B = 8

3. A = 9, B = 3

4. A = 3, B = 9

Q.

Find the value of N in the following addition.

$95N7+1085\underset{–}{}10N52\underset{–}{}$

1. 7

2. 8

3. 6

4. 9

Q. A number 74A is exactly divisible by 2 and leaves a remainder 1, when divided by 5. Find A.

1. 2
2. 4
3. 6
4. 8