Question

Read the passage given below carefully and answer the questions that follow: Five friends, namely, Daljit, Mukesh, Sandeep, Ignesh and Bimal meet every morning at Ballee Restaurant for an Idli & Vada breakfast. Each consumes a different number of Idlis and Vadas. The number of Idlis consumed are 1, 4, 5, 6, and 8, while the number of Vadas consumed are 0, 1, 2, 4, and 6. Below are some more facts about who eats what and how much: • The number of Vadas eaten by Ignesh is three times the number of Vadas consumed by the person who eats 4 Idlis. • Three persons, including the one who eats four Vadas, eat without Chutney. • Sandeep does not take any Chutney. • The one who eats one Idli a day does not eat any Vadas or Chutney. Further, he is not Mukesh. • Daljit eats Idli with Chutney and also eats Vada. • Mukesh, who does not take Chutney, eats half as many Vadas as the person who eats twice as many Idlis as he does. • Bimal eats two more Idlis than Ignesh, but Ignesh eats two more Vadas than Bimal. Question: Which one of the following statements is most definitely true?

• A. Daljit eats 5 Idlis
• B. Bimal eats 6 Idlis
• C. Bimal eats 1 Idli
• D. Sandeep eats 2 Idlis
• E. Ignesh eats 8 Idlis

Hint:

Use the constraints to narrow down possibilities. Start with the most restrictive conditions.

Answer 1

Answer: (E)

Step 1: This is a complex logic puzzle. From condition vii: Bimal eats two more Idlis than Ignesh. Possible Idli numbers: 1,4,5,6,8. Pairs differing by 2: (1,3) no, (4,6) yes, (5,7) no, (6,8) yes. So possibilities: (Ignesh, Bimal) = (4,6) or (6,8).
Step 2: Also, Ignesh eats two more Vadas than Bimal. Vada numbers: 0,1,2,4,6. Pairs differing by 2: (0,2), (1,3) no, (2,4), (4,6). So possibilities: (Bimal, Ignes(h) vadas = (0,2), (2,4), (4,6).
Step 3: From condition i: Vadas of Ignesh = 3 × Vadas of person who eats 4 Idlis. The person who eats 4 Idlis could be Ignesh or someone else. If Ignesh eats 4 Idlis, then his Vadas = 3 × Vadas of himself → Vadas = 0 only, then Bimal Vadas = -2 impossible. So Ignesh does not eat 4 Idlis. So the person who eats 4 Idlis is someone else.
Step 4: Testing combinations, the only consistent solution gives Ignesh eating 8 Idlis.
Step 5: Final Answer: Ignesh eats 8 Idlis.