17 : 297 :: 13 : ? (select two correct alternatives) option 1) 177 2)182 3)173 4)165
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17 : 297 :: 13 : ? (select two correct alternatives) option 1) 177 2)182 3)173 4)165
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Answer:
In the given analogy, 17 is related to 297. Let's try to figure out the relationship:
17 * 17 = 289
17 * 18 = 306
The product of 17 and 17 is 289, and the product of 17 and 18 is 306. Now, we can see that 297 falls between 289 and 306.
Similarly, for 13:
13 * 13 = 169
13 * 14 = 182
So, the number that falls between 169 and 182 is 173.
Therefore, the correct alternatives are:
1) 177
3) 173 ..
[tex]We \: know \: that \: in \: proportion [/tex]
[tex]a : b \: : : c : d \\ \\ \frac{a}{b} = \frac{c}{d} \\ [/tex]
[tex]Let \: the \: unknown \: term \: be \: x[/tex]
[tex]17 : 297 : : 13 : {?}^{} \\ \\ \frac{17}{297} = \frac{13}{x} \\ \\ x = \frac{297 \times 13}{17} \\ \\ x = \frac{3,861}{17} \\ \\ x = 227.14 (approx) \\ \\ = 228[/tex]