There are two coins, say blue and red. For blue coin, probability of getting head is 0.99 and for red coin, it is 0.01. One coin is chosen randomly and is tossed. The probability of getting head is
Previous 10 Questions — NIMCET 2025
Nearest first
1
2
3
4
5
6
7
8
9
The value of $\frac{d}{dx}\int ^{2\sin x}_{\sin {x}^2}{e}^{{t}^2}dt$ at $x=\pi$
Topic: NIMCET 2025
The captains of five cricket teams, including India and Australia, are lined up randomly
next to one other for a group …
Topic: NIMCET 2025
Let A and B be two square matrices of same order satisfying $A^2+5A+5I =0$ and $B^2+3B+I=0$ repectively. Where I is the…
Topic: NIMCET 2025
Number of permutations of the letters of the word BANGLORE such that the string ANGLE
appears together in all permutati…
Topic: NIMCET 2025
The scores of students in a national level examination are normally distributed with a mean of 500 and a standard devia…
Topic: NIMCET 2025
The curve $y=\frac{x}{1+x\tan x}$ attains maxima
Topic: NIMCET 2025
Consider the matrix $$B=\begin{pmatrix}{-1} & {-1} & {2} \\ {0} & {-1} & {-1} \\ {0} & {0} & {-…
Topic: NIMCET 2025
If $8^{x-1}=(1/4)^{x}$, then the value of $\frac{1}{\log_{x+1}4-\log_{x+1}5}+\frac{1}{\log_{1-x}4-\log_{1-x}5}$ is
Topic: NIMCET 2025
The length of the projection of $\vec{a} = 2\hat{i} + 3\hat{j} + \hat{k}$ on $\vec{b} = -2\hat{i} + \hat{j} + 2\hat{k}$…
Topic: NIMCET 2025
Next 10 Questions — NIMCET 2025
Ascending by ID
1
2
3
4
5
6
7
8
9
10
The number of all even integers between 99 and 999 which are not multiple of 3 and 5 is
Topic: NIMCET 2025
Let A = {1,2,3, ... , 20}. Let $R\subseteq A\times A$ such that R = {(x,y): y = 2x - 7}. Then the number
of elements in…
Topic: NIMCET 2025
If $\vec{a}, \vec{b}$ and $\vec{c} $ are three vectors such that $\vec{a} \times \vec{b}=\vec{c}$ , $\vec{a}.\vec{c} = …
Topic: NIMCET 2025
If x, y and z are three cube roots of 27, then the determinant of the matrix $\begin{bmatrix}{x} & {y} &…
Topic: NIMCET 2025
Let $A=\{{5}^n-4n-1\colon n\in N\}$ and $B=\{{}16(n-1)\colon n\in N\}$ be sets. Then
Topic: NIMCET 2025
Let $\vec{a}$, $\vec{b}$ and $\vec{c}$ be unit vectors such that the angle between them is ${\cos }^{-1}\Bigg…
Topic: NIMCET 2025
A tower subtends angles $\alpha, 2\alpha$ and $3\alpha$ respectively at points A, B and C which are lying on a horizont…
Topic: NIMCET 2025
If $\vec{a}$ and $\vec{b}$ are twp vectors such that |$\vec{a}$|=3, |$\vec{b}$|=4 and |$\vec{a}+\vec{b}$|=1, then the v…
Topic: NIMCET 2025
If $\vec{a}=\hat{i}+\hat{j}+\hat{k}$, $\vec{b}=2\hat{i}-\hat{j}+3\hat{k}$ and $\vec{c}=\hat{i}-2\hat{j}+\hat{k}$, then …
Topic: NIMCET 2025
Consider the sample space $\Omega={\{(x,y):x,y\in{\{1,2,3,4\}\}}}$ where each outcome is equally likely.
Let A = {x ≥ 2…
Topic: NIMCET 2025
