Comprehension
DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.
Five friends meet every morning at Sree Sagar 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.
i. The number of vadas eaten by Ignesh is three times the number of vadas consumed by the person who eats four idlis.
ii. Three persons, including the one who eats four vadas eat without chutney.
iii. Sandeep does not take any chutney.
iv. The one who eats one idli a day does not eat any vadas or chutney. Further, he is not Mukesh.
v. Daljit eats idli with chutney and also eats vada.
vi. Mukesh, who does not take chutney, eats half as many vadas as the person who eats twice as many idlis as he does.
vii. Bimal eats two more idlis than Ignesh, but Ignesh eats two more vadas than Bimal.
Question: 1
Which one of the following statements is true?
Which one of the following statements is true?
Show Hint
Fact i together with fact vii tells you how many vadas Ignesh eats. From there find Ignesh's and Bimal's idlis.
Updated On: Nov 7, 2026
- Daljit eats 5 idlis
- Ignesh eats 8 idlis
- Bimal eats 1 idli.
- Bimal eats 6 idlis.
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Set up the unknowns.
Five friends (Bimal, Daljit, Ignesh, Mukesh, Sandeep) each eat a different number of idlis from 1, 4, 5, 6, 8 and a different number of vadas from 0, 1, 2, 4, 6. Each one either takes chutney or does not. We need one row per friend: idlis, vadas, chutney.
Step 2: Use fact i and fact vii on Ignesh's vadas.
Fact vii says Ignesh eats two more vadas than Bimal, so Ignesh eats at least 2 vadas. Fact i says Ignesh's vadas are three times the vadas of the person who eats 4 idlis. Call that person's vadas \(v\). We need \(3v\) to be a vada number from the list and at least 2.
\(v = 0\) gives 0, too small. \(v = 1\) gives 3, not in the list. \(v = 2\) gives 6, which is in the list. \(v = 4\) gives 12 and \(v = 6\) gives 18, not in the list.
So the 4-idli person eats 2 vadas and Ignesh eats 6 vadas. In particular, Ignesh is not the 4-idli person.
Step 3: Fix Ignesh and Bimal.
From fact vii, Bimal eats \(6 - 2 = 4\) vadas. Bimal also eats two more idlis than Ignesh. In the idli list 1, 4, 5, 6, 8 the pairs that differ by 2 are (4, 6) and (6, 8). Ignesh is not the 4-idli person, so Ignesh eats 6 idlis and Bimal eats 8 idlis.
So Ignesh: 6 idlis, 6 vadas. Bimal: 8 idlis, 4 vadas.
Step 4: Fix Mukesh.
Daljit, Mukesh and Sandeep now share idlis 1, 4, 5 and vadas 0, 1, 2. Fact iv says the 1-idli person is not Mukesh. If Mukesh ate 5 idlis, nobody could eat twice as many (10), so fact vi would fail. So Mukesh eats 4 idlis.
Twice 4 idlis is 8 idlis, which is Bimal, who eats 4 vadas. Mukesh eats half of that, 2 vadas. This agrees with Step 2, where the 4-idli person eats 2 vadas.
Step 5: Fix Daljit and Sandeep.
Daljit and Sandeep share idlis 1 and 5 and vadas 0 and 1. By fact iv the 1-idli person eats no vadas, so that person has 0 vadas. By fact v Daljit eats vada, so Daljit cannot be that person. So Daljit eats 5 idlis and 1 vada, and Sandeep eats 1 idli and 0 vadas.
Step 6: Settle the chutney.
Sandeep takes no chutney (fact iii). Mukesh takes no chutney (fact vi). Fact ii says exactly three people go without chutney and one of them eats 4 vadas, which is Bimal. So the three without chutney are Bimal, Mukesh and Sandeep. Daljit takes chutney (fact v), and so does Ignesh.
Final table (idlis, vadas, chutney): Bimal 8, 4, no; Daljit 5, 1, yes; Ignesh 6, 6, yes; Mukesh 4, 2, no; Sandeep 1, 0, no. All seven facts check out.
Step 7: Test each option.
Option (1): Daljit eats 5 idlis. The table says Daljit eats 5 idlis. TRUE.
Option (2): Ignesh eats 8 idlis. Ignesh eats 6, and 8 idlis belong to Bimal. FALSE.
Option (3): Bimal eats 1 idli. Bimal eats 8, and 1 idli is Sandeep's. FALSE.
Option (4): Bimal eats 6 idlis. That is Ignesh's count, not Bimal's. FALSE.
Final Answer:
Only the statement that Daljit eats 5 idlis is true, so option (1). \[ \boxed{\text{Option 1}} \]
Five friends (Bimal, Daljit, Ignesh, Mukesh, Sandeep) each eat a different number of idlis from 1, 4, 5, 6, 8 and a different number of vadas from 0, 1, 2, 4, 6. Each one either takes chutney or does not. We need one row per friend: idlis, vadas, chutney.
Step 2: Use fact i and fact vii on Ignesh's vadas.
Fact vii says Ignesh eats two more vadas than Bimal, so Ignesh eats at least 2 vadas. Fact i says Ignesh's vadas are three times the vadas of the person who eats 4 idlis. Call that person's vadas \(v\). We need \(3v\) to be a vada number from the list and at least 2.
\(v = 0\) gives 0, too small. \(v = 1\) gives 3, not in the list. \(v = 2\) gives 6, which is in the list. \(v = 4\) gives 12 and \(v = 6\) gives 18, not in the list.
So the 4-idli person eats 2 vadas and Ignesh eats 6 vadas. In particular, Ignesh is not the 4-idli person.
Step 3: Fix Ignesh and Bimal.
From fact vii, Bimal eats \(6 - 2 = 4\) vadas. Bimal also eats two more idlis than Ignesh. In the idli list 1, 4, 5, 6, 8 the pairs that differ by 2 are (4, 6) and (6, 8). Ignesh is not the 4-idli person, so Ignesh eats 6 idlis and Bimal eats 8 idlis.
So Ignesh: 6 idlis, 6 vadas. Bimal: 8 idlis, 4 vadas.
Step 4: Fix Mukesh.
Daljit, Mukesh and Sandeep now share idlis 1, 4, 5 and vadas 0, 1, 2. Fact iv says the 1-idli person is not Mukesh. If Mukesh ate 5 idlis, nobody could eat twice as many (10), so fact vi would fail. So Mukesh eats 4 idlis.
Twice 4 idlis is 8 idlis, which is Bimal, who eats 4 vadas. Mukesh eats half of that, 2 vadas. This agrees with Step 2, where the 4-idli person eats 2 vadas.
Step 5: Fix Daljit and Sandeep.
Daljit and Sandeep share idlis 1 and 5 and vadas 0 and 1. By fact iv the 1-idli person eats no vadas, so that person has 0 vadas. By fact v Daljit eats vada, so Daljit cannot be that person. So Daljit eats 5 idlis and 1 vada, and Sandeep eats 1 idli and 0 vadas.
Step 6: Settle the chutney.
Sandeep takes no chutney (fact iii). Mukesh takes no chutney (fact vi). Fact ii says exactly three people go without chutney and one of them eats 4 vadas, which is Bimal. So the three without chutney are Bimal, Mukesh and Sandeep. Daljit takes chutney (fact v), and so does Ignesh.
Final table (idlis, vadas, chutney): Bimal 8, 4, no; Daljit 5, 1, yes; Ignesh 6, 6, yes; Mukesh 4, 2, no; Sandeep 1, 0, no. All seven facts check out.
Step 7: Test each option.
Option (1): Daljit eats 5 idlis. The table says Daljit eats 5 idlis. TRUE.
Option (2): Ignesh eats 8 idlis. Ignesh eats 6, and 8 idlis belong to Bimal. FALSE.
Option (3): Bimal eats 1 idli. Bimal eats 8, and 1 idli is Sandeep's. FALSE.
Option (4): Bimal eats 6 idlis. That is Ignesh's count, not Bimal's. FALSE.
Final Answer:
Only the statement that Daljit eats 5 idlis is true, so option (1). \[ \boxed{\text{Option 1}} \]
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Question: 2
Which of the following statements is true?
Which of the following statements is true?
Show Hint
Combine the clue about the 4-idli person with the clue about Ignesh and Bimal. Only one vada value fits Ignesh.
Updated On: Nov 7, 2026
- Sandeep eats 2 vadas.
- Mukesh eats 4 vadas.
- Ignesh eats 6 vadas.
- Bimal eats 2 vadas.
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Set up the unknowns.
Five friends (Bimal, Daljit, Ignesh, Mukesh, Sandeep) each eat a different number of idlis from 1, 4, 5, 6, 8 and a different number of vadas from 0, 1, 2, 4, 6. Each one either takes chutney or does not. We need one row per friend: idlis, vadas, chutney.
Step 2: Use fact i and fact vii on Ignesh's vadas.
Fact vii says Ignesh eats two more vadas than Bimal, so Ignesh eats at least 2 vadas. Fact i says Ignesh's vadas are three times the vadas of the person who eats 4 idlis. Call that person's vadas \(v\). We need \(3v\) to be a vada number from the list and at least 2.
\(v = 0\) gives 0, too small. \(v = 1\) gives 3, not in the list. \(v = 2\) gives 6, which is in the list. \(v = 4\) gives 12 and \(v = 6\) gives 18, not in the list.
So the 4-idli person eats 2 vadas and Ignesh eats 6 vadas. In particular, Ignesh is not the 4-idli person.
Step 3: Fix Ignesh and Bimal.
From fact vii, Bimal eats \(6 - 2 = 4\) vadas. Bimal also eats two more idlis than Ignesh. In the idli list 1, 4, 5, 6, 8 the pairs that differ by 2 are (4, 6) and (6, 8). Ignesh is not the 4-idli person, so Ignesh eats 6 idlis and Bimal eats 8 idlis.
So Ignesh: 6 idlis, 6 vadas. Bimal: 8 idlis, 4 vadas.
Step 4: Fix Mukesh.
Daljit, Mukesh and Sandeep now share idlis 1, 4, 5 and vadas 0, 1, 2. Fact iv says the 1-idli person is not Mukesh. If Mukesh ate 5 idlis, nobody could eat twice as many (10), so fact vi would fail. So Mukesh eats 4 idlis.
Twice 4 idlis is 8 idlis, which is Bimal, who eats 4 vadas. Mukesh eats half of that, 2 vadas. This agrees with Step 2, where the 4-idli person eats 2 vadas.
Step 5: Fix Daljit and Sandeep.
Daljit and Sandeep share idlis 1 and 5 and vadas 0 and 1. By fact iv the 1-idli person eats no vadas, so that person has 0 vadas. By fact v Daljit eats vada, so Daljit cannot be that person. So Daljit eats 5 idlis and 1 vada, and Sandeep eats 1 idli and 0 vadas.
Step 6: Settle the chutney.
Sandeep takes no chutney (fact iii). Mukesh takes no chutney (fact vi). Fact ii says exactly three people go without chutney and one of them eats 4 vadas, which is Bimal. So the three without chutney are Bimal, Mukesh and Sandeep. Daljit takes chutney (fact v), and so does Ignesh.
Final table (idlis, vadas, chutney): Bimal 8, 4, no; Daljit 5, 1, yes; Ignesh 6, 6, yes; Mukesh 4, 2, no; Sandeep 1, 0, no. All seven facts check out.
Step 7: Test each option.
Option (1): Sandeep eats 2 vadas. Sandeep eats none. FALSE.
Option (2): Mukesh eats 4 vadas. Mukesh eats 2 (4 vadas are Bimal's). FALSE.
Option (3): Ignesh eats 6 vadas. Step 2 gave exactly this. TRUE.
Option (4): Bimal eats 2 vadas. Bimal eats 4, which is 2 less than Ignesh's 6. FALSE.
Final Answer:
Ignesh eats 6 vadas, so option (3) is correct. \[ \boxed{\text{Option 3}} \]
Five friends (Bimal, Daljit, Ignesh, Mukesh, Sandeep) each eat a different number of idlis from 1, 4, 5, 6, 8 and a different number of vadas from 0, 1, 2, 4, 6. Each one either takes chutney or does not. We need one row per friend: idlis, vadas, chutney.
Step 2: Use fact i and fact vii on Ignesh's vadas.
Fact vii says Ignesh eats two more vadas than Bimal, so Ignesh eats at least 2 vadas. Fact i says Ignesh's vadas are three times the vadas of the person who eats 4 idlis. Call that person's vadas \(v\). We need \(3v\) to be a vada number from the list and at least 2.
\(v = 0\) gives 0, too small. \(v = 1\) gives 3, not in the list. \(v = 2\) gives 6, which is in the list. \(v = 4\) gives 12 and \(v = 6\) gives 18, not in the list.
So the 4-idli person eats 2 vadas and Ignesh eats 6 vadas. In particular, Ignesh is not the 4-idli person.
Step 3: Fix Ignesh and Bimal.
From fact vii, Bimal eats \(6 - 2 = 4\) vadas. Bimal also eats two more idlis than Ignesh. In the idli list 1, 4, 5, 6, 8 the pairs that differ by 2 are (4, 6) and (6, 8). Ignesh is not the 4-idli person, so Ignesh eats 6 idlis and Bimal eats 8 idlis.
So Ignesh: 6 idlis, 6 vadas. Bimal: 8 idlis, 4 vadas.
Step 4: Fix Mukesh.
Daljit, Mukesh and Sandeep now share idlis 1, 4, 5 and vadas 0, 1, 2. Fact iv says the 1-idli person is not Mukesh. If Mukesh ate 5 idlis, nobody could eat twice as many (10), so fact vi would fail. So Mukesh eats 4 idlis.
Twice 4 idlis is 8 idlis, which is Bimal, who eats 4 vadas. Mukesh eats half of that, 2 vadas. This agrees with Step 2, where the 4-idli person eats 2 vadas.
Step 5: Fix Daljit and Sandeep.
Daljit and Sandeep share idlis 1 and 5 and vadas 0 and 1. By fact iv the 1-idli person eats no vadas, so that person has 0 vadas. By fact v Daljit eats vada, so Daljit cannot be that person. So Daljit eats 5 idlis and 1 vada, and Sandeep eats 1 idli and 0 vadas.
Step 6: Settle the chutney.
Sandeep takes no chutney (fact iii). Mukesh takes no chutney (fact vi). Fact ii says exactly three people go without chutney and one of them eats 4 vadas, which is Bimal. So the three without chutney are Bimal, Mukesh and Sandeep. Daljit takes chutney (fact v), and so does Ignesh.
Final table (idlis, vadas, chutney): Bimal 8, 4, no; Daljit 5, 1, yes; Ignesh 6, 6, yes; Mukesh 4, 2, no; Sandeep 1, 0, no. All seven facts check out.
Step 7: Test each option.
Option (1): Sandeep eats 2 vadas. Sandeep eats none. FALSE.
Option (2): Mukesh eats 4 vadas. Mukesh eats 2 (4 vadas are Bimal's). FALSE.
Option (3): Ignesh eats 6 vadas. Step 2 gave exactly this. TRUE.
Option (4): Bimal eats 2 vadas. Bimal eats 4, which is 2 less than Ignesh's 6. FALSE.
Final Answer:
Ignesh eats 6 vadas, so option (3) is correct. \[ \boxed{\text{Option 3}} \]
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Question: 3
Which of the following statements is true?
Which of the following statements is true?
Show Hint
Build the full table of idlis, vadas and chutney for all five friends first. Then check each statement against one row.
Updated On: Nov 7, 2026
- Mukesh eats 8 idlis and 4 vadas but no chutney.
- The person who eats 5 idlis and 1 vada does not take chutney.
- The person who eats equal number of vadas and idlis also takes chutney.
- The person who eats 4 idlis and 2 vadas also takes chutney.
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Set up the unknowns.
Five friends (Bimal, Daljit, Ignesh, Mukesh, Sandeep) each eat a different number of idlis from 1, 4, 5, 6, 8 and a different number of vadas from 0, 1, 2, 4, 6. Each one either takes chutney or does not. We need one row per friend: idlis, vadas, chutney.
Step 2: Use fact i and fact vii on Ignesh's vadas.
Fact vii says Ignesh eats two more vadas than Bimal, so Ignesh eats at least 2 vadas. Fact i says Ignesh's vadas are three times the vadas of the person who eats 4 idlis. Call that person's vadas \(v\). We need \(3v\) to be a vada number from the list and at least 2.
\(v = 0\) gives 0, too small. \(v = 1\) gives 3, not in the list. \(v = 2\) gives 6, which is in the list. \(v = 4\) gives 12 and \(v = 6\) gives 18, not in the list.
So the 4-idli person eats 2 vadas and Ignesh eats 6 vadas. In particular, Ignesh is not the 4-idli person.
Step 3: Fix Ignesh and Bimal.
From fact vii, Bimal eats \(6 - 2 = 4\) vadas. Bimal also eats two more idlis than Ignesh. In the idli list 1, 4, 5, 6, 8 the pairs that differ by 2 are (4, 6) and (6, 8). Ignesh is not the 4-idli person, so Ignesh eats 6 idlis and Bimal eats 8 idlis.
So Ignesh: 6 idlis, 6 vadas. Bimal: 8 idlis, 4 vadas.
Step 4: Fix Mukesh.
Daljit, Mukesh and Sandeep now share idlis 1, 4, 5 and vadas 0, 1, 2. Fact iv says the 1-idli person is not Mukesh. If Mukesh ate 5 idlis, nobody could eat twice as many (10), so fact vi would fail. So Mukesh eats 4 idlis.
Twice 4 idlis is 8 idlis, which is Bimal, who eats 4 vadas. Mukesh eats half of that, 2 vadas. This agrees with Step 2, where the 4-idli person eats 2 vadas.
Step 5: Fix Daljit and Sandeep.
Daljit and Sandeep share idlis 1 and 5 and vadas 0 and 1. By fact iv the 1-idli person eats no vadas, so that person has 0 vadas. By fact v Daljit eats vada, so Daljit cannot be that person. So Daljit eats 5 idlis and 1 vada, and Sandeep eats 1 idli and 0 vadas.
Step 6: Settle the chutney.
Sandeep takes no chutney (fact iii). Mukesh takes no chutney (fact vi). Fact ii says exactly three people go without chutney and one of them eats 4 vadas, which is Bimal. So the three without chutney are Bimal, Mukesh and Sandeep. Daljit takes chutney (fact v), and so does Ignesh.
Final table (idlis, vadas, chutney): Bimal 8, 4, no; Daljit 5, 1, yes; Ignesh 6, 6, yes; Mukesh 4, 2, no; Sandeep 1, 0, no. All seven facts check out.
Step 7: Test each option.
Option (1): Mukesh eats 8 idlis and 4 vadas but no chutney. Mukesh eats 4 idlis and 2 vadas. The person with 8 idlis and 4 vadas is Bimal. FALSE.
Option (2): The person who eats 5 idlis and 1 vada does not take chutney. That person is Daljit, and fact v says Daljit takes chutney. FALSE.
Option (3): The person who eats equal numbers of vadas and idlis also takes chutney. Only Ignesh has equal numbers (6 and 6), and he takes chutney. TRUE.
Option (4): The person who eats 4 idlis and 2 vadas also takes chutney. That person is Mukesh, and fact vi says he does not take chutney. FALSE.
Final Answer:
The person with equal idlis and vadas is Ignesh (6 and 6) and he takes chutney, so option (3) is correct. \[ \boxed{\text{Option 3}} \]
Five friends (Bimal, Daljit, Ignesh, Mukesh, Sandeep) each eat a different number of idlis from 1, 4, 5, 6, 8 and a different number of vadas from 0, 1, 2, 4, 6. Each one either takes chutney or does not. We need one row per friend: idlis, vadas, chutney.
Step 2: Use fact i and fact vii on Ignesh's vadas.
Fact vii says Ignesh eats two more vadas than Bimal, so Ignesh eats at least 2 vadas. Fact i says Ignesh's vadas are three times the vadas of the person who eats 4 idlis. Call that person's vadas \(v\). We need \(3v\) to be a vada number from the list and at least 2.
\(v = 0\) gives 0, too small. \(v = 1\) gives 3, not in the list. \(v = 2\) gives 6, which is in the list. \(v = 4\) gives 12 and \(v = 6\) gives 18, not in the list.
So the 4-idli person eats 2 vadas and Ignesh eats 6 vadas. In particular, Ignesh is not the 4-idli person.
Step 3: Fix Ignesh and Bimal.
From fact vii, Bimal eats \(6 - 2 = 4\) vadas. Bimal also eats two more idlis than Ignesh. In the idli list 1, 4, 5, 6, 8 the pairs that differ by 2 are (4, 6) and (6, 8). Ignesh is not the 4-idli person, so Ignesh eats 6 idlis and Bimal eats 8 idlis.
So Ignesh: 6 idlis, 6 vadas. Bimal: 8 idlis, 4 vadas.
Step 4: Fix Mukesh.
Daljit, Mukesh and Sandeep now share idlis 1, 4, 5 and vadas 0, 1, 2. Fact iv says the 1-idli person is not Mukesh. If Mukesh ate 5 idlis, nobody could eat twice as many (10), so fact vi would fail. So Mukesh eats 4 idlis.
Twice 4 idlis is 8 idlis, which is Bimal, who eats 4 vadas. Mukesh eats half of that, 2 vadas. This agrees with Step 2, where the 4-idli person eats 2 vadas.
Step 5: Fix Daljit and Sandeep.
Daljit and Sandeep share idlis 1 and 5 and vadas 0 and 1. By fact iv the 1-idli person eats no vadas, so that person has 0 vadas. By fact v Daljit eats vada, so Daljit cannot be that person. So Daljit eats 5 idlis and 1 vada, and Sandeep eats 1 idli and 0 vadas.
Step 6: Settle the chutney.
Sandeep takes no chutney (fact iii). Mukesh takes no chutney (fact vi). Fact ii says exactly three people go without chutney and one of them eats 4 vadas, which is Bimal. So the three without chutney are Bimal, Mukesh and Sandeep. Daljit takes chutney (fact v), and so does Ignesh.
Final table (idlis, vadas, chutney): Bimal 8, 4, no; Daljit 5, 1, yes; Ignesh 6, 6, yes; Mukesh 4, 2, no; Sandeep 1, 0, no. All seven facts check out.
Step 7: Test each option.
Option (1): Mukesh eats 8 idlis and 4 vadas but no chutney. Mukesh eats 4 idlis and 2 vadas. The person with 8 idlis and 4 vadas is Bimal. FALSE.
Option (2): The person who eats 5 idlis and 1 vada does not take chutney. That person is Daljit, and fact v says Daljit takes chutney. FALSE.
Option (3): The person who eats equal numbers of vadas and idlis also takes chutney. Only Ignesh has equal numbers (6 and 6), and he takes chutney. TRUE.
Option (4): The person who eats 4 idlis and 2 vadas also takes chutney. That person is Mukesh, and fact vi says he does not take chutney. FALSE.
Final Answer:
The person with equal idlis and vadas is Ignesh (6 and 6) and he takes chutney, so option (3) is correct. \[ \boxed{\text{Option 3}} \]
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