NIMCET 2027 Puzzle Previous Year Questions (PYQs) – Page 11 of 12
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In a family of six-person A, B, C, D, E, and F there are two married couples. D is the grandmother of A and mother of B. C is the wife of B and mother of F. F is the granddaughter of E.
Who is C to A?
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In a family of six-person A, B, C, D, E, and F there are two married couples. D is the grandmother of A and mother of B. C is the wife of B and mother of F. F is the granddaughter of E.
Which of the following is true?
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In a family of six-person A, B, C, D, E, and F there are two married couples. D is the grandmother of A and mother of B. C is the wife of B and mother of F. F is the granddaughter of E.
Who among the following is one of the couples?
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Solution
Four passengers in a train find that they form an interesting group. Two of them are lawyers and the other two are doctors. Two of them speak Bengali and the other two speak Hindi and no two of the same profession speak the same language. They also found that two of them are Christians and two are Muslims and no two of the same religion speak the same languages. The Hindi speaking doctor is a Christian. Then which of the following statement logically follows?
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In an amusement park seven friends – Feroz, Gautam, Harish, Javed, Kumar, Laxman and Mohan are deciding who will ride the roller coaster. There is time for only one ride before the park closes. If Feroz rides Gautam must ride. If Gautam and Harish both ride, Javed cannot ride. If Harish and Javed both ride, Laxman cannot ride. If Javed rides, either Kumar or Mohan must ride. Kumar and Laxman cannot both ride, but one of them must ride. Kumar and Mohan cannot both ride.
Which of the following is an acceptable combination of riders if only three people ride?
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A, B, C, D and E are five integers. When written in ascending order of values the difference between any two adjacent integers is 4. D is the greatest and A is the least. B is greater than E but less than C. The sum of the integers is equal to E. What is the product of integers?
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Solution
Let A = x
E = x + 4
B = x + 8
C = x + 12
D = x + 16
Sum = A + E + B + C + D = 5x + 40
Given sum = E = x + 4
So, 5x + 40 = x + 4
4x = –36
x = –9
So integers are –9, –5, –1, 3, 7
Product = –9 × –5 × –1 × 3 × 7 = –945
Correct answer: –945
In an amusement park seven friends – Feroz, Gautam, Harish, Javed, Kumar, Laxman and Mohan are deciding who will ride the roller coaster. There is time for only one ride before the park closes. If Feroz rides Gautam must ride. If Gautam and Harish both ride, Javed cannot ride. If Harish and Javed both ride, Laxman cannot ride. If Javed rides, either Kumar or Mohan must ride. Kumar and Laxman cannot both ride, but one of them must ride. Kumar and Mohan cannot both ride.
If Javed and Mohan both ride, which of the following is true?
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Solution
In an amusement park seven friends – Feroz, Gautam, Harish, Javed, Kumar, Laxman and Mohan are deciding who will ride the roller coaster. There is time for only one ride before the park closes. If Feroz rides Gautam must ride. If Gautam and Harish both ride, Javed cannot ride. If Harish and Javed both ride, Laxman cannot ride. If Javed rides, either Kumar or Mohan must ride. Kumar and Laxman cannot both ride, but one of them must ride. Kumar and Mohan cannot both ride.
If Feroz and Harish both ride, what is the greatest number of people who can ride?
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Solution
A, B, C, D, E, F and G are travelling in three different vehicles: Swift, Creta, and Nexon.
There are at least two passengers in each vehicle. Among them, only two are male. There
are two engineers, two doctors and three teachers.What is the profession of F?
- C is a lady doctor and she does not travel with A and F, who are sisters.
- B, a male engineer, travels with only G, a teacher, in a Swift.
- D is a male doctor.
- Two persons belonging to the same profession do not travel in the same vehicle.
- A is not an engineer and travels in a Creta.
- The pair of sisters A and F travels in the same vehicle
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Solution
| Person | Engineer | Doctor | Teacher |
|---|---|---|---|
| A | ✗ | ✗ | ✓ |
| B | ✓ | ✗ | ✗ |
| C | ✗ | ✓ | ✗ |
| D | ✗ | ✓ | ✗ |
| E | ✗ | ✗ | ✓ |
| F | ✓ | ✗ | ✗ |
| G | ✗ | ✗ | ✓ |
| Person | Swift | Creta | Nexon |
|---|---|---|---|
| A | ✗ | ✓ | ✗ |
| B | ✓ | ✗ | ✗ |
| C | ✗ | ✗ | ✓ |
| D | ✗ | ✓ | ✗ |
| E | ✗ | ✗ | ✓ |
| F | ✗ | ✓ | ✗ |
| G | ✓ | ✗ | ✗ |
B is an engineer; doctors are C (lady) and D (male) ⇒ only one engineer left among A/E/F/G.
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A is not an engineer and is a teacher; G is a teacher; we need 3 teachers total ⇒ E can be the 3rd teacher.
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A and F sit together (in Creta), and no two same professions in one vehicle. Since A is a teacher, F cannot be a teacher; and doctors are already C & D.
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Hence, F must be the second engineer.
Five boxes $P,Q,R,S,T$ are stacked one above the other. $R$ is above $S$ but below $Q$. $T$ is at the bottom. $P$ is just above $T$. Which box is at the top?
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Solution
Given,
$T$ is at the bottom.
$P$ is just above $T$.
So, from bottom:
$T,\ P$
Now, $R$ is above $S$ but below $Q$.
So, their order from bottom to top is:
$S,\ R,\ Q$
Therefore, complete order from bottom to top is:
$T,\ P,\ S,\ R,\ Q$
Hence, the box at the top is $Q$.
NIMCET 2027
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