IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 209 - 215 of 1059
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Question number: 209
Question
What is the least number to be subtracted from 1936 so that when divided by 9,10 and 15 it will leave the same remainder in each case?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 44 |
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| b. | 38 |
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| c. | 42 |
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| d. | 40 |
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Question number: 210
Question
ABC is a three digit number in which the digit A is greater than the digit B and C. If the difference between ABC and CBA is 297 and the difference between ABC and BAC is 450, find all possible three digit numbers ABC.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 724 |
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| b. | 946 |
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| c. | 835 |
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| d. | All a. , b. and c. are correct |
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Question number: 211
Question
A number is always divisible by 72 if
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | It is divisible by both 2 and 36 |
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| b. | It is divisible by both 6 and 12 |
|
| c. | It is divisible by both 3 and 24 |
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| d. | All a. , b. and c. are correct |
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Question number: 212
Question
The integer which is 5 less than is
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
|
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| b. | 9 |
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| c. | 2 |
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| d. | 11 |
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Question number: 213
Question
When a number is divided by eight, it has a remainder of 2. When it is divided by nine, it has remainder of 1. What is the number?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 15 |
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| b. | 12 |
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| c. | 34 |
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| d. | 10 |
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Question number: 214
Question
What least value should be given to * so that the number 653 * 47 is divisible by 11?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 9 |
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| b. | 6 |
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| c. | 7 |
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| d. | 1 |
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Question number: 215
Question
The numbers which have more than two factors are called ________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Composite |
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| b. | Prime |
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| c. | Prime & Composite |
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| d. | Question does not provide sufficient data or is vague |
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