Question:
\[ (2,3,13):(3,5,34)::(5,7,74):\underline{\hspace{2cm}} \]
\[ (2,3,13):(3,5,34)::(5,7,74):\underline{\hspace{2cm}} \]
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Whenever triples of numbers are given, check whether the third number is obtained from arithmetic operations on the first two numbers.
Updated On: Jun 13, 2026
- \((7,9,130)\)
- \((9,11,202)\)
- \((7,11,170)\)
- \((9,13,250)\)
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
The third number is obtained from
\[
a^2+b^2.
\]
Step 1: Verify. \[ 2^2+3^2 = 4+9 = 13. \] \[ 3^2+5^2 = 9+25 = 34. \] \[ 5^2+7^2 = 25+49 = 74. \] Pattern verified.
Step 2: Check options. \[ 9^2+11^2 = 81+121 = 202. \] Hence \[ (9,11,202) \] fits perfectly. \[ \boxed{(9,11,202)} \]
Step 1: Verify. \[ 2^2+3^2 = 4+9 = 13. \] \[ 3^2+5^2 = 9+25 = 34. \] \[ 5^2+7^2 = 25+49 = 74. \] Pattern verified.
Step 2: Check options. \[ 9^2+11^2 = 81+121 = 202. \] Hence \[ (9,11,202) \] fits perfectly. \[ \boxed{(9,11,202)} \]
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