NIMCET 2027 Analytical Puzzle Previous Year Questions (PYQs) – Page 1 of 7
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There are five different boxes of different unknown weights each less than 100 kg. These boxes were
weighted in pairs and the weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg.
What is the weight in kg of the heaviest box?
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Solution
A one rupee coin is placed on a plain paper. How many coins of the same size can be placed round it so that each one touches the central and adjacent coins?
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Solution
Around a central circle, 6 equal circles can touch it and also touch their neighbours (classic circle packing in a plane).
A, B, C, D and E distribute some cards among themselves in a manner that A gets one less than B; C gets 5 more than D; E gets 3 more than B while D gets as many as B. Who gets the least cards?
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Solution
Solution:
Let B = x.
Then D = x (D gets as many as B).
A = x − 1
C = D + 5 = x + 5
E = B + 3 = x + 3
Smallest value is x − 1 (with A).
In the following square, numbers have been filled according to some rule. One space has been left blank. Find the correct number out of those given below for the blank space.
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Solution
Look at the pattern column-wise:
Column 1:
Top → Middle → Bottom
56 → 12 → 44
Check:
$56 - 12 = 44$ ✔
Column 3:
Top → Middle → Bottom
78 → 30 → 48
Check:
$78 - 30 = 48$ ✔
So the rule is:
Bottom = Top − Middle
Now apply the pattern to Column 2:
Top = 65
Bottom = 14
So Middle should be:
$65 - ? = 14$
$? = 65 - 14 = 51$
Correct the following equation by inter-changing two signs.
$ 3 - 9\times 27 + 9 \div 3 = 3 $
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Solution
Try interchanging $\times$ and $-$:
$ 3 \times 9 - 27 + 9 \div 3 = 27 - 27 + 3 = 3 $
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:
The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
What is maximum total number of green roofs for houses?
What is maximum total number of green roofs for houses?
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Solution
E already has a green roof.
Adjacent houses cannot use any colour that the next house uses, so D cannot have a green roof (because E has green).
B already has a red roof, so only A and C are free to possibly take green roofs.
We can choose roofs:
A – green, B – red, C – green, D – yellow, E – green
This satisfies all rules and gives 3 green roofs (A, C, E).
We cannot make B or D green, so more than 3 green roofs is impossible.
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:
The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
If house C has a yellow roof, which one of the following is true?
If house C has a yellow roof, which one of the following is true?
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Solution
C has yellow roof → D cannot use yellow (adjacent rule).
E has green roof → D cannot use green.
So D must use red roof → forcing D to also have a red chimney
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:
The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
Which of the following is true?
Which of the following is true?
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Solution
E has green roof.
C can have green roof.
A can have green roof.
So at least two houses definitely can have green roofs.
Statement- I: Out of total of 200 readers, 100 read Indian Express, 120 read Times of India and 50 read Hindu.
Statement - II: Out of a total of 200 readers, 100 read Indian Express, 120 reads Times of India and 50 read neither.
How many people (from the group surveyed) read both Indian Express and Times of India?
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Solution
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:
The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
Which statement if false?
Which statement if false?
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Solution
E has green roof.
Adjacent and roof–chimney rules make white chimney impossible for E.
NIMCET 2027
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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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