NIMCET 2027 Puzzle Previous Year Questions (PYQs) – Page 4 of 12
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A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.
How many members of the group are males?
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Solution
Read the following information carefully and answer
the questions given below:
i. Five friends Amar, Kapil, Sarvesh, Rohan and
Nagesh put on five shirts of different colours,
i.e., Red, Yellow, Blue, White, and Green, while
they were going to attend a party. These colours
are not in the order.
ii. They have different hobbies as reading,
playing, outing, singing and writing.
iii. Kapil, who likes singing, does not wear
Yellow shirt. Sarvesh wears Red shirt and he
does not like reading or writing. Nagesh likes
playing and he does not wear Blue or Yellow
shirt. Amar likes writing and Rohan does not
wear Yellow or Green shirt.
What is the colour of Kapil’s shirt?
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Solution
Read the following information carefully and answer
the questions given below:
i. Five friends Amar, Kapil, Sarvesh, Rohan and
Nagesh put on five shirts of different colours,
i.e., Red, Yellow, Blue, White, and Green, while
they were going to attend a party. These colours
are not in the order.
ii. They have different hobbies as reading,
playing, outing, singing and writing.
iii. Kapil, who likes singing, does not wear
Yellow shirt. Sarvesh wears Red shirt and he
does not like reading or writing. Nagesh likes
playing and he does not wear Blue or Yellow
shirt. Amar likes writing and Rohan does not
wear Yellow or Green shirt.
Who likes writing?
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Solution
A junior school is offering five after-school activities – Karate, Handwork, Music, Dance, and Gymnastics. Each of the five students – Leena, Megan, Neha, Omar, and Pixie, has subscribed to at least one activity. As per the school rules, anyone who subscribes to Gymnastics must also subscribe to Dance. Karate and Handwork must always be subscribed together. Music and Dance cannot be subscribed together.
The following information is available about the students’ subscriptions.
- Megan subscribed to four activities.
- Leena subscribed to Gymnastics but not Karate.
- Pixie subscribed to only one activity and is the only one to subscribe to that activity.
- Omar subscribed to three activities.
- Neha subscribed to only one activity.
How many activities are subscribed by exactly two people each?
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Solution
Three shopkeepers each make one true statement and one false statement.
Shopkeeper 1:
• Dog had black hair
• Dog had a long tail
Shopkeeper 2:
• Dog had a short tail
• Dog wore a collar
Shopkeeper 3:
• Dog had white hair
• Dog had no collar
Find correct description.
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Solution
Test each option — each shopkeeper must have one truth + one lie.
Test Option (3) Black hair, long tail, A collar
Shopkeeper 1:
Black hair → TRUE
Long tail → TRUE ❌ (two truths → invalid)
Test Option (4) Black hair, long tail, No collar
Shopkeeper 1:
Black hair → TRUE
Long tail → TRUE ❌ (invalid)
Test Option (1) White hair, short tail, No collar
Shopkeeper 1:
Black hair → FALSE
Long tail → FALSE ❌ (two lies → invalid)
Test Option (2) White hair, long tail, A collar
Shopkeeper 1:
Black hair → FALSE
Long tail → TRUE ✔ (1 true, 1 false)
Shopkeeper 2:
Short tail → FALSE
Collar → TRUE ✔
Shopkeeper 3:
White hair → TRUE
No collar → FALSE ✔
All satisfy exactly one true + one false.
You are in the land of logic where there are 3 types of rabbits.
Blue rabbits always tell the truth, green rabbits sometimes tell the truth and red rabbits never tell the truth.
A rabbit says to you: “I always lie.” What colour is the rabbit?
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Solution
A red rabbit cannot say “I always lie” because that would be true.
A blue rabbit cannot say it because that would be false.
A green rabbit can make a false statement.
Study the following diagram and answer
the following question. 
By which letter, the married teachers
who do not live in joint family are represented?
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Solution
Study
the following information carefully and answer the given question:
Eight friends A, B, C, D, E, F, G and
H are sitting on a round table facing the centre. A sits second to the left of
D, who sits third to the left of E. C sits third to the right of G, who is not
an immediate
neighbour of E. H sits opposite to the
E. B is between A and C.
Who sits opposite to A?
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Solution
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Video Solution
13 identical balls, one odd (heavier or lighter not known). Minimum weighings?
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Solution
Standard result:
For finding one odd ball among 13 when it could be heavier or lighter → 3 weighings are enough using ternary partitioning.
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