languid
Definition: (adjective) without energy; slow, sluggish, listless.
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Problem
A palindrome is a positive integer that reads the same forward as it does backwards. If neither the first nor last digit of a palindrome can be zero, how many three-digit palindromes are there?
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SAT: Grid-In Question #3 |
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Question:
For positive integers w, x, y, and z, [w, x] # [y, z] is defined as the greater number in the second set divided by the lesser number in the first set. What is the value of [3, 2] # [6, 5] - [6, 5] # [2, 3]?
First find the value of [3, 2] # [6, 5]. The given definition tells you to divide the greater number in the second set, in this case 6, by the lesser number in the first set, in this case 2.
| So [3, 2] # [6, 5] |
= |
6 |
÷ |
2 |
= |
3. |
| Now find the value of [6, 5] # [2, 3]. This will equal the greater |
| number in the second set, in this case 3, divided by the lesser |
| number in the first set, in this case 5. So [6, 5] # [2, 3] |
= |
| 3 |
÷ |
5 |
= |
0.6 |
or |
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3 |
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5 |
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| The problem asks for the value of [3, 2] # [6, 5] - [6, 5] # [2, 3], so |
| substitute the values you calculated. |
| You have |
3 |
- |
0.6 |
= |
2.4 |
, or |
3 |
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3 |
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5 |
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= |
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15 |
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5 |
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- |
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3 |
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5 |
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= |
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12 |
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5 |
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| (Yahoo only accepts decimals for grid-in answers. However, |
| the SAT accepts fractions as well.) |
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