Question:
Find the missing pair:
\[ (8,24),\ (48,120),\ (168,288),\ (360,528),\ \underline{\hspace{2cm}} \]
Find the missing pair:
\[ (8,24),\ (48,120),\ (168,288),\ (360,528),\ \underline{\hspace{2cm}} \]
Show Hint
For ordered-pair series, factorize the numbers. Hidden products of consecutive integers or even numbers frequently generate the pattern.
Updated On: Jun 13, 2026
- \((620,748)\)
- \((840,960)\)
- \((759,870)\)
- \((893,971)\)
Show Solution
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The Correct Option is B
Solution and Explanation
Concept:
The pairs are generated from products of consecutive even numbers.
Step 1: Factorize the first components. \[ 8=2\times4 \] \[ 48=6\times8 \] \[ 168=12\times14 \] \[ 360=18\times20. \]
Step 2: Factorize the second components. \[ 24=4\times6 \] \[ 120=10\times12 \] \[ 288=16\times18 \] \[ 528=22\times24. \] The factors continue in increasing even-number pairs.
Step 3: Find the next pair. Next products: \[ 28\times30=840 \] and \[ 30\times32=960. \] Thus the required pair is \[ \boxed{(840,960)}. \]
Step 1: Factorize the first components. \[ 8=2\times4 \] \[ 48=6\times8 \] \[ 168=12\times14 \] \[ 360=18\times20. \]
Step 2: Factorize the second components. \[ 24=4\times6 \] \[ 120=10\times12 \] \[ 288=16\times18 \] \[ 528=22\times24. \] The factors continue in increasing even-number pairs.
Step 3: Find the next pair. Next products: \[ 28\times30=840 \] and \[ 30\times32=960. \] Thus the required pair is \[ \boxed{(840,960)}. \]
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