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Previous Year Question (PYQs)
3
At a dance party a group of girls and boys exchange dances as follows:
One boy dances with 5 girls. Second boy dances with 6 girls, and so on; last boy dances with all girls. If b represents the number of boys and g represents the number of girls, then
Solution
Number of girls danced with by boys:
1st boy → 5 girls
2nd boy → 6 girls
3rd boy → 7 girls
…
last boy → g girls
This is an arithmetic sequence: 5, 6, 7, …, g
Number of terms = b = (last – first) + 1 = (g – 5) + 1 = g – 4
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