List of top Questions asked in Bihar Board X - 2023

In the following distribution, what is the modal class? 

ClassFrequency
0-1015
10-2020
20-3045
30-4015
40-5025


 

If \( p(x) = 3x^{3} + x^{2} + 2x + 5 \) is divided by \( q(x) = x^{2} + 2x + 1 \), then the degree of the quotient will be:
Evaluate \( \dfrac{\sin^{2}(90^\circ-\theta)+\sin^{2}\theta}{\csc^{2}(90^\circ-\theta)-\tan^{2}\theta} \).
If \((\tan\theta+\cot\theta)=6\), then the value of \(\tan^{2}\theta+\cot^{2}\theta\) is
If \(\sec\theta+\tan\theta+1=0\), then the value of \(\sec\theta-\tan\theta\) is
If \(\sin\theta=\dfrac{\sqrt{3}}{2}\), then the value of \(\csc\theta+\cot\theta\) is
If \(\sin\theta=\cos\theta,\ 0^\circ\le \theta\le 90^\circ\), then the value of \(\theta\) is
\(\displaystyle \frac{\sin 30^\circ+\cos 45^\circ-\tan 60^\circ}{\cot 30^\circ-\sin 45^\circ-\cos 60^\circ}=\)
\(\tan30^\circ\cdot \sin30^\circ\cdot \cot60^\circ\cdot \csc30^\circ=\)
Which relationship is true for Mean, Median and Mode?
If the mean of \(x+2, 2x+3, 4x+5, 5x+2\) is 18, then the value of \(x\) is
If point \(R(a,b)\) lies on the line segment joining \(P(0,0)\) and \(Q(0,2)\), which of the following is true?
The point of intersection of the straight lines \(x=2\) and \(y=-3\) is
If \(\tan\theta=\dfrac{15}{8}\), then the value of \(\sin\theta\) will be
The perimeter of a semicircle whose radius is \(3r\) is
Which of the following numbers is not the probability of any event?
If \(E'\) is the complementary event of an event \(E\), then which of the following is true?
In throwing a die one time, what is the probability of not appearing 2?
A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a black king?
If the median of \(24,27,28,31,34,x,37,40,42,45,50\) is 35, then the value of \(x\) is
The cumulative frequency table is useful in the determination of the following?
If the product of zeroes of a polynomial \(x^{2}-9x+2a\) is \(8\), then the value of \(a\) will be
If one zero of a polynomial \(p(x)\) is \(-1\), then a factor of \(p(x)\) will be
Which of the following quadratic polynomials has sum of zeroes \(-3\) and product of zeroes \(2\)?
If \(\alpha,\beta,\gamma\) are zeroes of the cubic polynomial \(ax^{3}+bx^{2}+cx+d=0\), then the value of \(\alpha\beta\gamma\) is