UPSC CDS I 2025 Mathematics Paper

Initial Families in Kutcha Houses =(185∕360)×3,60,000
⇒ Initial Families in Kutcha Houses =185×(3,60,000∕360)=1,85,000
Initial Houseless Families =(20∕360)×3,60,000
⇒ Initial Houseless Families =20×(3,60,000∕360)=20,000
New Families in Kutcha Houses = Initial Families in Kutcha Houses + 300
⇒ New Families in Kutcha Houses =1,85,000+300=1,85,300
From previous calculations or Chart-I:
Number of Kutcha Houses =(40∕360)×1,20,000
⇒ Number of Kutcha Houses =120000∕9
Average families per Kutcha house = New Families in Kutcha Houses ∕ Number of Kutcha Houses
⇒ Average families per Kutcha house =1,85,300∕(120000∕9)
⇒ Average families per Kutcha house =(1,85,300×9)∕120000
⇒ Average families per Kutcha house =1667700∕120000
⇒ Average families per Kutcha house =16677∕1200
⇒ Average families per Kutcha house ≈13.8975≈13.9