MAH CET MCA Number System Previous Year Questions (PYQs)
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Showing 8 questions
How many times does the number $2$ appear in the range $1$ to $1000$?
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Solution
Between $200$–$300$, digit $2$ appears most frequently (in hundreds, tens, and ones place).
The fourth closest square root of $10$ is
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Solution
$\sqrt{10} = 3.16227766$.
The fourth decimal place (after rounding) = 1.7784.
How would you
represent 10111 in the decimal number system?
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Solution
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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Solution
If $A = B$, then difference of their squares is zero, hence $C = 0$.
Total number of positive integral factors of $70560$?
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Solution
Prime factorization of $70560 = 2^6 \times 3^2 \times 5 \times 7^2$.
Number of factors $= (6+1)(2+1)(1+1)(2+1) = 7 \times 3 \times 2 \times 3 = 126 > 105$.
What is the binary equivalent of the decimal number 13?
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Solution
$13=8+4+1=2^3+2^2+2^0 \Rightarrow 1101$.
What is the result of the binary subtraction 1100 − 1010 using 2's complement?
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Solution
Two’s complement of $1010$ is $\overline{1010}+1=0101+1=0110$.
$1100+0110=1,0010$ → drop carry ⇒ $0010$.
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