Question
CSATHardPrelims 2014Maths

Six identical cards are placed on a table. Each card has number '1' marked on one side and number '2' marked on its other side. All the six cards are placed in such a manner that the number '1' is on the upper side. In one try, exactly four (neither more nor less) cards are turned upside down. In how many Ieast number of tries can the cards be turned upside down such that all the six cards show number '2' on the upper side?

Explanation

Initially, all cards show '1' on the upper side. In each try, exactly four cards are turned upside down. Objective: All cards should show '2' on the upper side.

Step-by-step:

After the first try, 4 cards are flipped, showing '2' on the upper side, and 2 cards still show '1'. After the second try, the same 4 cards are flipped again, but 2 cards that were flipped earlier show '1' again, and the other 2 show '2'. After the third try, all 6 cards will show '2' on the upper side.

Thus, the minimum number of tries required is 3.

Maths PYQs from 2014

Trusted by 2L aspirants

Practice UPSC Prelims PYQs Smarter

Practice Now
  • Track accuracy & weak areas
  • See past trends & repeated themes
Start Practicing Now

PYQs by Papers

Crack UPSC with your
Personal AI Mentor

An AI-powered ecosystem to learn, practice, and evaluate with discipline

SuperKalam
SuperKalam is your personal mentor for UPSC preparation, guiding you at every step of the exam journey.

Download the App

Get it on Google PlayDownload on the App Store
Follow us

ⓒ Snapstack Technologies Private Limited