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AMU MCA Previous Year Questions (PYQs)

AMU MCA Others PYQ

AMU MCA PYQ
Let $G$ be a group having elements $a$ and $b$ such that $O(a)=4$, $O(b)=2$ and $a^3 b = ba$. Then $O(ab)$ is






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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2020 PYQ

Solution

Given:

$a^4 = e$

$b^2 = e$

Also $a^3 b = ba$

Multiply by $a$:

$a^4 b = baa$

$b = baa$

$ab = a(baa) = (ab)^{-1}$

Hence $(ab)^2 = e$

Therefore order of $ab = 2$

AMU MCA PYQ
Find the missing (?) $\frac{1}{2} : 2 :: \frac{x}{7} : ?$





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

Solution

Pattern: Reciprocal relation

$\frac{1}{2} \rightarrow 2$

So $\frac{x}{7} \rightarrow \frac{7}{x}$

If $x = 7$ → result = 1
Matching best given option = 3
AMU MCA PYQ
The third order divided difference of $ \frac{1}{x} $ based on arguments $x_0,x_1,x_2,x_3$ is





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

Solution

$ f[x_0,x_1,x_2,x_3]= -\frac{1}{x_0x_1x_2x_3}$
AMU MCA PYQ
Which of the following is incorrect?





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

Solution

$ \nabla \times \nabla V=0 $
AMU MCA PYQ
If salary of a person is first increased by 15% and thereafter decreased by 12%, then the net change in the salary is:





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Net percentage change $= a + b + \frac{ab}{100}$ Here $a = 15$, $b = -12$ $= 15 - 12 - \frac{15 \times 12}{100}$ $= 3 - 1.8 = 1.2%$ Net change is increase of $1.2%$

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