NIMCET 2027 Puzzle Previous Year Questions (PYQs) – Page 9 of 12
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- There are six houses P, Q, R, S, T and U, three on either side of a road.
- The houses are of different colours – red, blue, green, orange, yellow and white.
- All the houses are of different heights.
- T, the tallest house is exactly opposite to the red coloured house.
- The shortest house is exactly opposite to the green coloured house.
- U, the orange coloured house is located between P and S.
- R, the yellow coloured house is exactly opposite to P.
- Q, the green coloured house is exactly opposite to U.
- P, the white coloured house is taller than R, but shorter than S and Q.
What is the colored of the tallest house?
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Solution
Direction: Read the following information carefully and answer the questions.
Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.
I. A break of 1 hour has to be taken in the third or four hour.
II. Drama show cannot be started with A and cannot end with C
III. D has to follow B immediately with no break in between.
IV. A cannot be done immediately after D.
V. A has to precede E immediately with no break in between.
Which is the drama to be staged first?
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Solution
Direction: Read the following information carefully and answer the questions.
Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.
I. A break of 1 hour has to be taken in the third or four hour.
II. Drama show cannot be started with A and cannot end with C
III. D has to follow B immediately with no break in between.
IV. A cannot be done immediately after D.
V. A has to precede E immediately with no break in between.
Which is the drama staged immediately after the break?
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Solution
Direction: Read the following information carefully and answer the questions.
Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.
I. A break of 1 hour has to be taken in the third or four hour.
II. Drama show cannot be started with A and cannot end with C
III. D has to follow B immediately with no break in between.
IV. A cannot be done immediately after D.
V. A has to precede E immediately with no break in between.
Which drama is staged immediately after D?
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Solution
Direction: Read the following information carefully and answer the questions.
Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.
I. A break of 1 hour has to be taken in the third or four hour.
II. Drama show cannot be started with A and cannot end with C
III. D has to follow B immediately with no break in between.
IV. A cannot be done immediately after D.
V. A has to precede E immediately with no break in between.
Which drama is staged immediately after E?
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Solution
- A group of six friends are sitting around a hexgonal table, each one at one corner of the hexagon.
- Ram is sitting opposite to Ramesh.
- Jyoti is sitting next to Seema.
- Neeta is sitting opposite to Seema but not next to Ram.
- Amrit has a person sitting between Ramesh and himself.
If Neeta sits to the right of Amrit, then who is sitting to the left of Amrit?
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Solution
- A group of six friends are sitting around a hexgonal table, each one at one corner of the hexagon.
- Ram is sitting opposite to Ramesh.
- Jyoti is sitting next to Seema.
- Neeta is sitting opposite to Seema but not next to Ram.
- Amrit has a person sitting between Ramesh and himself.
Who is sitting between Amrit and Ramesh ?
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Solution
- A group of six friends are sitting around a hexgonal table, each one at one corner of the hexagon.
- Ram is sitting opposite to Ramesh.
- Jyoti is sitting next to Seema.
- Neeta is sitting opposite to Seema but not next to Ram.
- Amrit has a person sitting between Ramesh and himself.
Who is sitting opposite to Jyoti?
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Solution
- A group of six friends are sitting around a hexgonal table, each one at one corner of the hexagon.
- Ram is sitting opposite to Ramesh.
- Jyoti is sitting next to Seema.
- Neeta is sitting opposite to Seema but not next to Ram.
- Amrit has a person sitting between Ramesh and himself.
If Seema and Jyoti mutually interchange their positions, then who will be sitting opposite to Neeta?
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Solution
Substitutes digits for the letters to make the following relation true
S T I L L
+ W I T H I N
---------------
L I M I T S
Note that the leftmost letter can‟t be zero in any word. Also, there must be a one-to-one mapping
between digits and letters, e.g. if you substitute 3 for the letter S, no other letter can be 3 and all
-8-
other S in the puzzle must be 3.
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Solution
From the column addition,
Since the 5th column gives $S+c_4=10c_5$ and $S\neq0$, we must have $S=9,\ c_4=1,\ c_5=1$.
Then $H$ cannot be $9$, so the only valid case is $H=0$.
From last column $W+c_5=L \Rightarrow L=W+1$.
From units column $L+N=S \Rightarrow N=9-L$.
Solving remaining constraints gives:
$S=9,\ T=7,\ I=1,\ L=6,\ W=5,\ H=0,\ N=3,\ M=4$
So,
$STILL=97166$
$WITHIN=517013$
$LIMITS=614179$
Check:
$97166+517013=614179$ ✅
Final Answer:
Correct relation is $97166+517013=614179$.
NIMCET 2027
Online Test Series, Information About Examination,
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and More.
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NIMCET 2027
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
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