CAT LRDI Set with Video Solution 06

The table below gives some information about the points scored by Arjun in ANC (All Hestia Champion-ship), in each of five different mind games — Dice, Dance, Dupe, Digit and Dynasty.
Game Total
Problems 		Problems
Attempted 		Successful
Attempts 		Failures Net Score

Dice

35

29

Dance

30

Dupe

35

17

6

Digit

40

11

Dynasty

45

30

It is also known that.
  1. for every successful attempt Arjun gate one point and for every unattempted problem he loses 1/6th of a point and for every failure he loses 1/3rd of a point.
  2. Arjun scored a total of 67 points and attempted 125 problems
  3. the number of failures of Arjun in Digit is 1/6th of his total number of failures and twice his number of failures in Dance.
  4. Arjun's net score in Dance is double that in Dupe.

Question: What is the total number of failures of Arjun in the competition
Answer: 36

Question: The maximum number of failures of Arjun in any game was
Answer: 12

Question: What is the number of problems attempted by him in Dance
Answer: 18

Question: What is his net score in Dynasty
Answer: 26