IMO- Mathematics Olympiad (SOF) Class 8: Questions 706 - 713 of 1030
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Question number: 706
Question
If is divisible by 9, where is a digit less than 5, then the values of are________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 2 |
|
| b. | 3 |
|
| c. | 1 |
|
| d. | 0 |
|
Question number: 707
Question
If and there is no carry on addition, then the value of B is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 0 |
|
| b. | 5 |
|
| c. | 3 |
|
| d. | 1 |
|
Question number: 708
Question
If divided by 5 leaves a remainder of 4, and divided by 2 leaves a remainder of 1, then the one’s digit of N is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 3 |
|
| b. | 4 |
|
| c. | 7 |
|
| d. | 9 |
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Question number: 709
Question
If is divisible by 3, where x is a digit less than 5, then the values of x are________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 3 |
|
| b. | 1 |
|
| c. | 0 |
|
| d. | 2 |
|
Question number: 710
Question
If and there is no carry on addition, then the value of B is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 3 |
|
| b. | 1 |
|
| c. | 5 |
|
| d. | 4 |
|
Question number: 711
Question
The difference of the squares of two consecutive odd integer is divisible by which of the following integers?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 7 |
|
| b. | 5 |
|
| c. | 8 |
|
| d. | 2 |
|
Question number: 712
Question
A 5-digit number xy721 is divisible by 3 such that x + y < 5, where x and y are digits, then possible values of (x, y) are________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | (1,1), (2,0) |
|
| b. | (1,2), (2,0) |
|
| c. | (0,2), (2,0) |
|
| d. | (1,1), (0,2) |
|
Question number: 713
Question
A 4 digit number ‘abcd’ is divisible by 8 if________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | b + c + d is divisible by 8 |
|
| b. | a + 2b + c + d is divisible by 8 |
|
| c. | a + b + c is divisible by 8 |
|
| d. | a + b + c + d is divisible by 8 |
|