IMO- Mathematics Olympiad (SOF) Class 6: Questions 164 - 170 of 1049
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Question number: 164
Question
The number 3,116,365 is divisible by
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 5 |
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| b. | 5 & 7 |
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| c. | 7 |
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| d. | Question does not provide sufficient data or is vague |
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Question number: 165
Question
Cube of any negative integer is
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 0 |
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| b. | Negative |
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| c. | Depend on the nature of integer |
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| d. | Positive |
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Question number: 166
Question
Find the smallest number which will divide the greatest 3-digit number and the greatest 5-digit number exactly.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 9 |
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| b. | 8 |
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| c. | 7 |
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| d. | 3 |
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Question number: 167
Question
If positive sign precedes a bracket the sign of the terms inside the bracket will ________ when the bracket is removed.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Change |
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| b. | Be 0 |
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| c. | Depends on the bracket |
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| d. | Not change |
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Question number: 168
Question
If a, b and c are whole numbers such that a = b and c 0 and c > 0, then
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
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| b. |
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| c. |
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| d. | None of the above |
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Question number: 169
Question
Which of the following is a perfect square?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 36 |
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| b. | 36 & 81 |
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| c. | 37 |
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| d. | 81 |
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Question number: 170
Question
A, M, T, I represent different non-zero digits, It is given that A + M + T + I – 11
A + M + I – 10
A + M – 1
Further in the following addition only one digit is given.
Image Showing the Addition
Showing the A, M, T, I represent different non-zero digits
The sum will be?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Sum is 35725734 |
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| b. | Sum is 35725792 |
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| c. | Sum is 34425792 |
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| d. | Sum is 35722292 |
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