Mira's mother-in-law's mother is my grandmother. All my mother's offsprings are unmarried till date. Based on this, which of the following is true?
Previous 10 Questions — NIMCET 2026
Nearest first
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The coefficient of $x^{10}$ in the expansion of $\left(x^2+\frac{1}{x}\right)^{12}+\left(x+\frac{1}{x^2}\right)^{12}$ i…
Topic: NIMCET 2026
Consider the graphs of the functions $f(x)=2\cos\left(\frac{x}{2}\right)+3$ and $g(x)=4$. The number of points of inter…
Topic: NIMCET 2026
The number of solutions of the equation $\tan^{-1}(3x)+\tan^{-1}(2x)=\frac{\pi}{4}$ is:
Topic: NIMCET 2026
The value of $\cos^{-1}\left(\cos\left(-\frac{\pi}{6}\right)\right)+\sin^{-1}\left(\sin\frac{5\pi}{6}\right)$ is:
Topic: NIMCET 2026
An engineer standing at a point $P$ wishes to determine the width of a new rectangular pond. She finds the distance to …
Topic: NIMCET 2026
If $BC=a$, $AC=b$, and $AB=c$ are the sides of a triangle $ABC$, and $\angle C\ne \frac{\pi}{2}$, then which one of the…
Topic: NIMCET 2026
Let $x-y\tan 35^\circ=\tan 25^\circ(y+x\tan 35^\circ)$ for some $x,y\in \mathbb{R}$. Then, which one of the following i…
Topic: NIMCET 2026
Let $f:[0,\infty)\to \mathbb{R}$ be a function defined by$f(x)=\frac{3x^2+4x+1}{x^2+3x+2}$Then the value of $(f^{-1})'(…
Topic: NIMCET 2026
For $a\in \mathbb{R}$, consider the real valued function defined on $(-1,1)$ as follows:For $x\neq 0$,$f(x)=\frac{(1+x)…
Topic: NIMCET 2026
Let $f:\mathbb{R}\to \mathbb{R}$ be a function defined by $f(x)=|x+1|e^{-x^2}$. Then which of the following statement i…
Topic: NIMCET 2026
Next 10 Questions — NIMCET 2026
Ascending by ID
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Youtube is organizing an event with seven content creators $A,B,C,D,E,F$ and $G$, by grouping them into three teams bas…
Topic: NIMCET 2026
Here you are given one statement and two courses of action I and II. Assuming the statements to be true, decide which o…
Topic: NIMCET 2026
The sum of three numbers is $98$. If the ratio of the first to the second is $2:3$ and that of the second to the third …
Topic: NIMCET 2026
Runs scored by Sachin in a charity match are $10$ more than the balls faced by Lara. The number of balls faced by Sachi…
Topic: NIMCET 2026
An examination consists of $160$ questions. One mark is given for every correct option. If a $\frac{1}{4}$ mark is dedu…
Topic: NIMCET 2026
Say $10600$ is divided into positive quantities $A,B,C,$ and $D$. Use the following information to find the value of $D…
Topic: NIMCET 2026
A researcher found that $70\%$ of people who own a cat also own a dog, but only $20\%$ of dog owners also own a ca…
Topic: NIMCET 2026
Which of the following arguments is a "circular argument"?
Topic: NIMCET 2026
In a specific code, "TRUTH" is coded as "7-18-21-20-8" and "FALSE" is coded as "6-1-12-19-5". How would "LOGIC" be code…
Topic: NIMCET 2026
Six people $U,V,W,X,Y,$ and $Z$ stand in a line. $Y$ is between $V$ and $Z$. $W$ is to the immediate left of $V$. $X$ i…
Topic: NIMCET 2026
