IMO- Mathematics Olympiad Class 6: Questions 163 - 169 of 1049
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Question number: 163
Question
There are 378 red cards in box. A boy takes out 9 red cards from it and replaces them by 14 blue cards. He continues to do so, till all red cards are replaced by blue cards. Find the number of blue cards put in the box?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 438 |
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| b. | 658 |
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| c. | 588 |
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| d. | 348 |
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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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