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AMU MCA Previous Year Questions (PYQs)

AMU MCA Inequation PYQ


AMU MCA PYQ
If the point $(a, a)$ falls between the lines $|x + y| = 4$, then





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2019 PYQ

Solution


AMU MCA PYQ
Let $x=\left[\dfrac{a+2b}{a+b}\right]$ and $y=\dfrac{a}{b}$, where $a$ and $b$ are positive integers. If $y^2>2$, then





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2019 PYQ

Solution


AMU MCA PYQ
A region in the $xy$-plane is bounded by the curve $y=\sqrt{25-x^2}$ and the line $y=0$. If the point $(a,a+1)$ lies in the interior of the region, then





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2018 PYQ

Solution


AMU MCA PYQ
The solution of the inequality $|x^2-4x|<5$ is





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2018 PYQ

Solution


AMU MCA PYQ
The solution set of the inequality $\log_{\sin(\pi/3)}(x^2-3x+2)\geq2$ is





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2018 PYQ

Solution


AMU MCA PYQ
The equation $|x|+\left|\frac{x}{x-1}\right|=\frac{x^2}{|x-1|}$ will be always true for $x$, belonging to





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2018 PYQ

Solution


AMU MCA PYQ
If $y_1=4,\ y_2=12,\ y_4=19$ and $y_x=7$ then value of $x$ is approx





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

Solution

$x \approx 1.86$

AMU MCA PYQ
An electrician can be paid under two schemes:
I. ₹600 and ₹50 per hour
II. ₹170 per hour

If job takes $n$ hours, for which values of $n$ does scheme I give better wages





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2016 PYQ

Solution

Scheme I: $600 + 50n$ Scheme II: $170n$ $600 + 50n > 170n$ $600 > 120n$ $n < 5$

AMU MCA PYQ
If $X = {4^n - 3n - 1 \mid n \in N}$ and $Y = {9(n-1) \mid n \in N}$, then





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2016 PYQ

Solution

Check divisibility: $4^n - 3n - 1 \equiv 1 - 3n - 1 \equiv -3n \equiv 0 \ (\text{mod } 3)$ Also divisible by $3$ again ⇒ multiple of $9$ So $X \subset Y$ Final Answer: $\boxed{X \subset Y}$


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