IMO- Mathematics Olympiad Class 8: Questions 174 - 182 of 1029
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Question number: 174
Question
A number is multiplied by itself and then 72 is subtracted from the product. If the final result is 5928, then find the original number.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 36 |
|
| b. | 60 |
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| c. | 50 |
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| d. | 62 |
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Question number: 175
Question
If , then the value of is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 3 |
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| b. | 4 |
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| c. | 2 |
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| d. | 5 |
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Question number: 176
Question
Find the smallest square number which is exactly divisible by 5 6, 9 and 12 is, ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 100 |
|
| b. | 180 |
|
| c. | 900 |
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| d. | 500 |
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Question number: 177
Question
Square root of 6084 is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 77 |
|
| b. | 78 |
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| c. | 87 |
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| d. | 76 |
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Question number: 178
Question
If = 4, then = ________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 100 |
|
| b. | 169 |
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| c. | 123 |
|
| d. | 144 |
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Question number: 179
Question
The greatest four digit number, which is a perfect square is ________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 9801 |
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| b. | 9805 |
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| c. | 9900 |
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| d. | 9901 |
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Question number: 180
Question
Which of the following is not a perfect square?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 16384 |
|
| b. | 100489 |
|
| c. | 5329 |
|
| d. | 1638 |
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Question number: 181
Question
A number is multiplied by itself and then 10 is subtracted from the product. If the final result is 590, then find the original number.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 60 |
|
| b. | 30 |
|
| c. | 50 |
|
| d. | 36 |
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Question number: 182
Question
Three numbers are in the ratio of 4: 3: 2. The sum of their cubes is 21384. The numbers are________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
|
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| b. | 15: 30: 45 |
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| c. |
|
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| d. | 6: 12: 18 |
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