Find the distance from the eye at which a coin of $2\ \text{cm}$ diameter should be held so as to conceal the full moon whose angular diameter is $31'$.
Previous 10 Questions — MAH MCA CET 2025 (Shift 1)
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Two trains, A and B, start simultaneously from two stations $300\ \text{km}$ apart. Train A travels at $60\ \text{km/h}…
Topic: MAH MCA CET 2025 (Shift 1)
The incomes of $A$, $B$ and $C$ are in the ratio $7 : 9 : 12$ and their spending are in the ratio $8 : 9 : 15$. If $A$ …
Topic: MAH MCA CET 2025 (Shift 1)
Two cubes each of volume $64\ \text{cm}^3$ are joined end to end. Find the surface area of the resulting cuboid.
Topic: MAH MCA CET 2025 (Shift 1)
A pendulum swings through an angle of $30^\circ$ and describes an arc of $17.6\ \text{cm}$ in length. Find the length o…
Topic: MAH MCA CET 2025 (Shift 1)
Two customers, Rachana and Bhakti, are visiting a particular shop in the same week (Tuesday to Saturday). Each is equal…
Topic: MAH MCA CET 2025 (Shift 1)
If, for a binomial distribution, the number of trials is $9$, the variance is $2$ and the probability of success is gre…
Topic: MAH MCA CET 2025 (Shift 1)
Find the probability of guessing correctly at least six of 10 answers in a True or False objective test.
Topic: MAH MCA CET 2025 (Shift 1)
The probability distribution function of a random variable $X$ is given by
$f(x) = \dfrac{x}{18}, ; 0 \le x \le 6$
$= 0…
Topic: MAH MCA CET 2025 (Shift 1)
If X denotes the number obtained on the uppermost face of cubit die when
it is tossed, then E(X) is
Topic: MAH MCA CET 2025 (Shift 1)
Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.
Topic: MAH MCA CET 2025 (Shift 1)
Next 10 Questions — MAH MCA CET 2025 (Shift 1)
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A circular wire of radius $7.5\ \text{cm}$ is cut and bent to lie along the circumference of a hoop of radius $120\ \te…
Topic: MAH MCA CET 2025 (Shift 1)
The population of a town grows at $10%$ per year. How long will it take for the population to triple?
Topic: MAH MCA CET 2025 (Shift 1)
A company models the rate of change of concentration by
$(y^2+3xy),dx+(x^2+xy),dy=0$, with $y=1$ when $x=1$. Find $y$ a…
Topic: MAH MCA CET 2025 (Shift 1)
A family of parabolas $y=ax^{2}$ $(a>0)$ has vertices on the $x$–axis and axis parallel to $y$–axis. The differential e…
Topic: MAH MCA CET 2025 (Shift 1)
The coefficient of $x^{n}$ in the expansion of $(1+x)^{2n}$ and $(1+x)^{2n-1}$ are in the ratio
Topic: MAH MCA CET 2025 (Shift 1)
The equation of a parabola is $y^2=4x$. Which of the following points lies on the parabola?
Topic: MAH MCA CET 2025 (Shift 1)
In $\triangle ABC$, sides are $a=9$, $b=7$, $c=12$. Find angle $C$ (opposite side $c$) using the Law of Cosines.
Topic: MAH MCA CET 2025 (Shift 1)
The number of real solutions of $\sqrt{1+\cos 2x}=\sqrt{2},\cos^{-1}(\cos x)$ in $\left[\frac{\pi}{2},\pi\right]$ is
Topic: MAH MCA CET 2025 (Shift 1)
Given $,\dfrac{dy}{dx}+y=1,$ with $y(0)=2$, find $y(1)$.
Topic: MAH MCA CET 2025 (Shift 1)
The valid range of $x$ for which $\cos^{-1}(2x-3)$ is defined is
Topic: MAH MCA CET 2025 (Shift 1)
