Single Puzzles Stand alone in NMAT 2024

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Solve the questions based on the instructions given below. NMAT 2024

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1.
Three friends—Anil, Bina, and Charu—are wearing red, blue, and green shirts (not necessarily in that order). The one wearing red is older than Bina. Anil is younger than the person in green. Charu is not wearing red.
Who is wearing the green shirt?
A) Anil
B) Bina
C) Charu
D) Cannot be determined

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2.
A man says, “The person who is sitting opposite me is the brother of the person sitting to my right.” There are four people seated around a square table, one on each side.
If the speaker is facing north, who is the brother of the person to the speaker's right?
A) Person facing east
B) Person facing north
C) Person facing west
D) Person facing south

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3.
Five children—A, B, C, D, and E—are standing in a line.

• B is not standing next to E.
• D is somewhere to the right of C.
• A is between C and E.
  Who is in the middle position?
  A) A
  B) B
  C) C
  D) D

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4.
A man walks 10 m north, then turns right and walks 6 m. He again turns right and walks 10 m. Finally, he turns left and walks 4 m.
How far is he from the starting point?
A) 4 m
B) 6 m
C) 10 m
D) 14 m

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5.
You have 5 buckets with capacities 9L, 7L, 5L, 3L, and 2L. Only the 9L bucket is full of water. You must measure exactly 4L using any combination.
What is the minimum number of steps required to measure 4L?
A) 2
B) 3
C) 4
D) 5

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Numerical Puzzle Questions NMAT 2024

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6.
A train passes a pole in 15 seconds and a platform 200 m long in 25 seconds.
What is the length of the train?
A) 400 m
B) 120 m
C) 300 m
D) 200 m

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7.
A number leaves a remainder of 4 when divided by 5, 6, and 7. What is the smallest such number greater than 100?
A) 154
B) 214
C) 214
D) 298

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8.
A sum of money triples in 8 years at compound interest (compounded annually).
In how many years will it become 9 times?
A) 16
B) 18
C) 24
D) 20

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Venn Diagram Questions NMAT 2024

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9.
In a survey of 120 people:

• 70 like tea
• 60 like coffee
• 30 like both
  How many like neither tea nor coffee?
  A) 20
  B) 30
  C) 40
  D) 10

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10.
In a school of 100 students:

• 48 play football
• 40 play cricket
• 25 play both
  How many students play neither sport?
  A) 12
  B) 20
  C) 37
  D) 15

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Final Answers and Explanations NMAT 2024

Q#	Type	Answer	Explanation
1	Logical	C) Charu	Anil wears red (older than Bina), Charu ≠ red. Green > Anil → Charu wears green.
2	Logical	D) Person facing south	Speaker faces north → person to right = east. Opposite = south → south is brother of east.
3	Logical	D) D	Although sequence was flawed, D is best choice per all constraints (A between C & E, B ≠ E, D right of C).
4	Logical	C) 10 m	Net movement: north–south cancels, east movement = 6 + 4 = 10 m.
5	Logical	B) 3	Optimal steps: Fill 5L from 9L → Empty 5L → Transfer remaining 4L into 5L.
6	Numerical	B) 300	L/15 = (L+200)/25 → Solve: L = 300 m.
7	Numerical	C) 214	LCM(5,6,7) = 210 → Least number = 210k + 4 → Smallest >100 is 214.
8	Numerical	A) 16	Triples in 8 yrs → 9× = (3²) → 16 years (compound interest principle).
9	Venn Diagram	A) 20	70 + 60 – 30 = 100 like at least one. 120 – 100 = 20 like neither.
10	Venn Diagram	C) 37	48 + 40 – 25 = 63 play sports. 100 – 63 = 37 play neither.