NIMCET 2027 2014 Previous Year Questions (PYQs) – Page 2 of 12
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Six friends A, B, C, D, E, and F are sitting around a hexagonal table. F, who is sitting exactly opposite
A, is to be immediate right of B, D is between A and B and is exactly opposite to C. All are facing
inside.
Who are sitting next to A?
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Solution
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
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
If K is parallel to I, K is 1/2 km South of J and 1 km North of G, then which of the following two roads would be 1/2 km apart?
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Solution
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
Which of the following possibilities are true?
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Solution
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
If road E is between B and C, then the distance between A and D is
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Solution
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
If E is between B and C, then which of the following is false?
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Solution
All the roads of a city are either perpendicular or parallel to one another.
The roads are all straight.
Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one
another.
Road A is 1 km East of road B.
Road B is 1/2 km West of road C.
Road D is 1 km West of road E.
Road G is 1/2 km South of road H.
Road I is 1 km North of road J.
Road K is 1/2 km North of road L.
Road K is 1 km South of road M.
Which of the following is necessarily true?
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Solution
The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 ∶ 5 ∶ 7. The total number of students before the increase were
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Solution
Ajith is three times older than Babita. Chetu is half the age of Das. Babita is older than Chetu. Which
of the following additional information is needed to estimate the age of Ajith?
I. Chetu is 10 yr old.
II. Both Babita and Das are older than Chetu by the same number of years.
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Solution
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