NIMCET 2011 Previous Year Questions (PYQs) – Page 7 of 12
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Showing 120 questions
How much money did $B$ get?
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Solution
A = 123
B = A - 21 = 123 - 21 = 102
Directions for questions 64- 66: In The following diagram circle stands for 'educated‟, square for
'hardworking', triangle for 'urban people', and rectangle for 'honest'. Different regions in the diagram arc
numbered from 2 to 12. Study the diagram carefully and answer.
Educated, hard-working and urban people are indicated by
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Solution
Educated = Circle
Hard-working = Square
Urban = Triangle
Teeno ka common overlapping region 6 hota hai.
Non-urban educated people who are neither hardworking nor honest are indicated by
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Solution
Non-urban = Outside triangle
Educated = Inside circle
Neither hardworking = Outside square
Nor honest = Outside rectangle
Circle ke andar aur baaki teeno se bahar jo region hai = 7
Honest, educated and hardworking non-urban people are indicated by
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Solution
Honest = Rectangle
Educated = Circle
Hard-working = Square
Non-urban = Outside triangle
Rectangle ∩ Circle ∩ Square but outside triangle = 9
Five persons A, B, C, D and E were travelling in a car.
There were two ladies. One drove first, one drove last.
A is brother of D. B is wife of D. E drove last.
Who was the other lady in the group?
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Solution
B is wife of D → B is female
A is brother of D ⇒ A is male
E drives last (gender unknown)
Beginning me jo lady drive karti hai, wo B nahi ho sakti (kyunki lady 2 honi chahiye)
A = male
D = male (since A is brother)
B = female
C = unknown
E = unknown
E drove last → E must be woman.
So ladies = B and E.
Choose the next pair in the sequence:
61, 57, 50, 61, 43, 36, …
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Solution
Odd-position sequence:
61 → 50 → 43 → next
Differences: −11, −7 → pattern: −11, −7, −12, −6 (alternate big-small) → next = 43 − 12 = 31
Even-position sequence:
57 → 61 → 36 → next
Pattern repeats → next even term returns to 61
Directions for questions 69-71: In each of the 3 questions below, are given four statements followed
by four conclusions numbered I, II, III, IV. You have to take the given statements to be true if they seem
to be at variance from commonly known facts. Read all the conclusions and then decide which of the
given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:
Some doctors are lawyers.
All teachers are lawyers.
Some engineers are lawyers.
All engineers are businessmen.
Conclusions:
I. Some teachers are doctors.
II. Some businessmen are lawyers.
III. Some businessmen are teachers.
IV. Some lawyers are teachers.
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Solution
From statements:
Teachers ⊆ Lawyers
Doctors ∩ Lawyers (some common)
Engineers ∩ Lawyers (some common)
Engineers ⊆ Businessmen
Check conclusions:
I. Some teachers are doctors → Not necessarily.
No direct link between teachers & doctors. Does not follow.
II. Some businessmen are lawyers → TRUE.
Engineers ⊆ Businessmen AND some engineers are lawyers →
⇒ Some businessmen are lawyers. ✔️
III. Some businessmen are teachers → FALSE.
No connection between teachers & businessmen.
IV. Some lawyers are teachers → TRUE.
All teachers ⊆ lawyers. ✔️
Statements:
All plastics are glasses.
Some sponges are glasses.
All sponges are clothes.
All clothes are liquids.
Conclusions:
I. All liquids are sponges.
II. Some plastics are clothes.
III. All glasses are plastics.
IV. All liquids are clothes.
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Solution
Analyze:
Plastics ⊆ Glasses
Sponges ⊆ Glasses
Sponges ⊆ Clothes
Clothes ⊆ Liquids
Now check conclusions:
I. All liquids are sponges → FALSE.
Liquids include many other things. No reverse relation.
II. Some plastics are clothes → FALSE.
Plastics ⊆ Glasses but no link to Clothes.
(No intersection shown).
III. All glasses are plastics → FALSE.
Only Plastics ⊆ Glasses, not reverse.
IV. All liquids are clothes → FALSE.
Given: All clothes ⊆ liquids, reverse is NOT true.
So none of the conclusions follow.
Statements:
All sands are beaches.
All shores are beaches.
Some beaches are trees.
All trees are hotels.
Conclusions:
I. Some shores are hotels.
II. All beaches are shores.
III. Some beaches are hotels.
IV. Some sands are trees.
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Solution
From statements:
Sands ⊆ Beaches
Shores ⊆ Beaches
Some Beaches ⊆ Trees
Trees ⊆ Hotels
Check conclusions:
I. Some shores are hotels → FALSE.
No link between shores and trees/hotels.
II. All beaches are shores → FALSE.
Given Shores ⊆ Beaches, reverse not true.
III. Some beaches are hotels → TRUE.
Some beaches are trees, and
Trees ⊆ Hotels ⇒ those beaches are hotels ✔️
IV. Some sands are trees → FALSE.
Sands ⊆ Beaches but no link sands ↔ trees.
So only conclusion III is correct.
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