Question:

What is missing in the blank below?

\[ 50:65::290:\ \_ \_ \_ \_ \]

Show Hint

In number analogy, try expressing numbers as nearby squares, cubes or powers.
  • \(170\)
  • \(226\)
  • \(260\)
  • \(325\)
Show Solution
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The Correct Option is D

Solution and Explanation

Concept:
We need to identify the relation between \(50\) and \(65\), and apply the same relation to \(290\).

Step 1: Express \(50\) and \(65\).
\[ 50=49+1=7^2+1 \] \[ 65=64+1=8^2+1 \] So the relation is: \[ 7^2+1 \rightarrow 8^2+1 \]

Step 2: Express \(290\).
\[ 290=289+1=17^2+1 \] So the corresponding next number should be \[ 18^2+1 \]

Step 3: Calculate.
\[ 18^2+1=324+1 \] \[ =325 \]

Step 4: Final answer.
\[ \boxed{325} \]
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