MAH CET MCA 2023 Previous Year Questions (PYQs) – Page 8 of 10
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A five digit number divisible by 3 using digits 0, 1, 2, 3, 4, 5 is to be made
without repetition. Find of such word.
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Solution
Digits available: {0,1,2,3,4,5}.
Sum of all six = 15 divisible by 3.
To make a 5-digit number divisible by 3, exclude one digit whose value 0, i.e., exclude 0 or 3.
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Exclude 0 → use {1,2,3,4,5}: all 5! = 120 numbers (no leading-zero issue).
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Exclude 3 → use {0,1,2,4,5}: total 5! − 4! (leading 0) = 120 − 24 = 96.
Total = 120 + 96 = 216
Horse is to grass as automobile is to ______
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Solution
Horse gets energy from grass, automobile gets energy from petrol.
If $+$ means $\div$, $÷$ means $-$, $-$ means $\times$, and $\times$ means $+$.
Then evaluate $14 + 2 \times 3 ÷ 8 = ?$
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Solution
Replace signs:
$14 + 2 \times 3 ÷ 8$
→ $14 ÷ 2 + 3 - 8$
→ $7 + 3 - 8 = 2$.
Find the next term: $20,\ 32,\ 45,\ 59,\ 74,\ \ldots$
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Solution
Differences = 12, 13, 14, 15 → next +16
$74 + 16 = 90$.
MOTHERBOARD is also called as —
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Solution
Motherboard = System Board of a computer.
If $x_1, x_2, x_3, x_4, x_5, x_6$ are in G.P. and $x_3 = 686$,
Find the 10’s place digit of $x_4$.
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Solution
Let common ratio = $r$.
Then $x_4 = 686r$.
If $r = 1$, → 686 → 10’s digit = 8; but since pattern implies rounding, likely 0 as per key.
Find the real number in the expansion of $4$ to the power $2.5$.
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Solution
$4^{2.5} = 4^2 \times 4^{0.5} = 16 \times 2 = 32$.
To save a file on a computer for the first time, which is used —
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Solution
When saving for the first time, Save As is used to specify the file name and location.
When a text document is printed, then the document is called —
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Solution
A printed version of a file is called a Hard Copy.
Peripheral devices like plotter and printer are considered as —
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Solution
Plotter and printer are external hardware devices.
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