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MAH CET MCA Previous Year Questions (PYQs)

MAH CET MCA Number System PYQ

MAH CET MCA PYQ
How many times does the number $2$ appear in the range $1$ to $1000$?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

Solution

Between $200$–$300$, digit $2$ appears most frequently (in hundreds, tens, and ones place).
MAH CET MCA PYQ
The fourth closest square root of $10$ is





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

Solution

$\sqrt{10} = 3.16227766$. The fourth decimal place (after rounding) = 1.7784.
MAH CET MCA PYQ
How would you represent 10111 in the decimal number system?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

Solution

MAH CET MCA PYQ
The algorithm sum of the difference between the squares of two positive integers $A$ and $B$ is a fixed constant $C$. If $A = B$, then value of $C$ is —





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

Solution

If $A = B$, then difference of their squares is zero, hence $C = 0$.
MAH CET MCA PYQ
Total number of positive integral factors of $70560$?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

Solution

Prime factorization of $70560 = 2^6 \times 3^2 \times 5 \times 7^2$. Number of factors $= (6+1)(2+1)(1+1)(2+1) = 7 \times 3 \times 2 \times 3 = 126 > 105$.
MAH CET MCA PYQ
Binary addition of 10001 and 11101 is ____.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

Solution

MAH CET MCA PYQ
What is the binary equivalent of the decimal number 13?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

$13=8+4+1=2^3+2^2+2^0 \Rightarrow 1101$.
MAH CET MCA PYQ
What is the result of the binary subtraction 1100 − 1010 using 2's complement?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

Two’s complement of $1010$ is $\overline{1010}+1=0101+1=0110$. $1100+0110=1,0010$ → drop carry ⇒ $0010$.

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