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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
The table below gives the details about four different machines A, B, C and D. Each of the machines can produce four different types of products, X, Y, Z and W.
Machine / Product | X | Y | Z | W |
|---|---|---|---|---|
A | (20,2) | (30,3) | (40,1) | (30,2) |
B | (30,3) | (40,2) | (60,1) | (30,2) |
C | (30,1) | (40,2) | (80,4) | (30,1) |
D | (15,1) | (20,1) | (40,2) | (80,4) |
Each of the machines is allowed to operate for a total of 8 hours.
The first figure in the bracket indicates the quantity (in units) of the product produced while the second figure indicates the time taken (in hours) to produce that quantity of that product. For example, Machine A produces 20 units of X in 2 hours.
Each machine operates independently and can produce only one type of product at any given point of time. It produces the products X, Y, Z and W in that order and for the time period mentioned. For example, Machine A produces X for the first 2 hours, Y for the next 3 hours, and so on. The same applies to the other machines. The machines produce every product at a uniform rate.
Question 1
In the first five hours of operation, how many units of Z were produced?
a) 0
b) 20
c) 220
d) 80
Question 2
The quantity of W produced in the first x hours is at least 20. Which of the following is true?
a) x = 5
b) x ≥ 5
c) x = 3
d) x = 4
Question 3
In the first four hours, by what percentage is the quantity of Y produced by B more or less than that produced by C?
a) 50% less
b) 50% more
c) 100% more
d) 62.5% less
Question 4
What is the maximum quantity of any product produced in the first four hours?
a) 90
b) 95
c) 100
d) 110
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✅ Answers & Explanations
Set 1
Machine-wise working order: X → Y → Z → W
Rates:
A: X = 20/2 = 10/hr, Y = 30/3 = 10/hr, Z = 40/1 = 40/hr, W = 30/2 = 15/hr
B: X = 30/3 = 10/hr, Y = 40/2 = 20/hr, Z = 60/1 = 60/hr, W = 30/2 = 15/hr
C: X = 30/1 = 30/hr, Y = 40/2 = 20/hr, Z = 80/4 = 20/hr, W = 30/1 = 30/hr
D: X = 15/1 = 15/hr, Y = 20/1 = 20/hr, Z = 40/2 = 20/hr, W = 80/4 = 20/hr
Question 1
In the first 5 hours, Z is produced by:
C: from 3rd hour to 5th hour = 2 hours
Quantity = 2 × 20 = 40
D: from 2nd hour to 4th hour = 2 hours
Quantity = 2 × 20 = 40
Total Z = 40 + 40 = 80
Answer: d) 80
Question 2
W starts getting produced first by Machine D.
D produces W from 4th hour onwards at 20 units/hour.
So, to produce at least 20 units of W:
Time needed after 4 hours = 1 hour
Therefore, x must be at least 5.
Answer: b) x ≥ 5
Question 3
In the first 4 hours:
Machine B produces Y from 3rd hour to 4th hour = 1 hour
Quantity = 1 × 20 = 20
Machine C produces Y from 1st hour to 3rd hour = 2 hours
Quantity = 2 × 20 = 40
B produces 20, C produces 40.
Difference = 20
Percentage less = 20/40 × 100 = 50%
Answer: a) 50% less
Question 4
Product quantities in the first 4 hours:
X:
A = 20, B = 30, C = 30, D = 15
Total X = 95
Y:
A = 20, B = 20, C = 40, D = 20
Total Y = 100
Z:
C = 20, D = 40
Total Z = 60
W:
No complete production before 4 hours
Total W = 0
Maximum quantity = 100
Answer: c) 100
⚡ Brain teasers are not just about getting the right answer — they train you to think differently under pressure.
Stay consistent with your daily practice, challenge your assumptions, and keep sharpening your reasoning skills.
See you in tomorrow’s challenge!