Question 1
If (143)a = (212)b, where a and b are the bases of the respective numbers, what are the values of a and b?
a = 6, b = 5
a = 8, b = 5
a = 7, b = 6
a = 9, b = 7
a = 5, b = 4

The IIT Madras BS Computer System Design (Computer System Design) Quiz 1 paper sat on 13 Jul 2025, in the May 2025 term: 12 questions for 50 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
If (143)a = (212)b, where a and b are the bases of the respective numbers, what are the values of a and b?
a = 6, b = 5
a = 8, b = 5
a = 7, b = 6
a = 9, b = 7
a = 5, b = 4
Correct answer
a = 7, b = 6
Correct answer
Exactly one input is at logic 1
All inputs are at logic 1
Any two inputs are at logic 0
Any even number of inputs are at logic 1
Correct answer
Exactly one input is at logic 1
Correct answer
Correct answer
0.75
0.33
0.25
0.50
1
None of these
Correct answer
0.50
Correct answer: 2
Correct answer: 3
Correct answer: A3
Given that the NOT gate has a delay of 1 ns, and 2-input AND/OR gates have delays of 2 ns, what will be the maximum delay of a 2x1 multiplexer circuit?
Note: if the answer is 1 ns, write 1.
Correct answer: 5
Correct answer: 4
Correct answer: 2