List of top Questions asked in CBSE Class X

Find the H.C.F. and L.C.M. of 1530 and 2040.
Assertion (A) : For an acute angle \(\theta\), \(\cos \theta\) is always less than 1.
Reason (R) : In a right-angled triangle, hypotenuse is the longest side and \(\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}\).
Assertion (A) : Median of a data is the value of \(\frac{N}{2}\), where N represents sum of all frequencies.
Reason (R) : Median divides the whole distribution in two equal parts.
The length of a pendulum is 70 cm and it describes an arc of length 88 cm when swings. The angle subtended by the arc at the centre is
If A(a, 0), B(1, 1) and C(0, b) form a triangle, right angled at B when joined, then establish a relation between a and b.
PQ is tangent to a circle at a point P on the circle. The number of tangents which can be drawn to the circle parallel to PQ, is
If \(-26\), x, 2 are in A.P., then the value of x is
In the given figure, DE $\parallel$ BC. If AD : AB = 1 : 3 and AE = 2.5 cm, then AC equals
The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is
A bag contains some red and some white balls. A ball is drawn at random from the bag. If the probability of getting a red ball is \(\frac{2}{7}\), then the probability of getting a white ball is
A card is drawn from a well-shuffled deck of 52 playing cards. The probability of getting a queen of spade is
If value of \(\cot \theta\) is \(\sqrt{5}\), then \(\sin \theta\) equals
A chord \(QR\) subtends an angle of \(105^\circ\) at the centre \(O\) of the circle. The measure of \(\angle RQP\) is
The graph of a polynomial \(p(x)\) is shown here. The number of zeroes of the polynomial \(p(x)\) is
\(n^{\text{th}}\) term of the A.P. : \(-\frac{1}{3}, \frac{4}{3}, 3, \ldots\) is
Which of the following statements is not always true?
The probability of getting sum greater than 10, when two dice are rolled together, is
A cylinder of radius \(r\) is surmounted on a hemisphere of same radius. If total height of the object is 13 cm, then its inner surface area is
The roots of the quadratic equation \(x^2 + 9 = 0\) are
The distance between the points \((-2, 5)\) and \((5, -2)\) is
7 $\times$ 11 $\times$ 13 + 5 is

Which of the following sequence is \(\textit{not }\)an A.P. ?
 

In a class test, Veer scored 6 more than twice as many marks as Kevin scored. If one of them had scored 4 more marks, their total score would have been 40. Find the marks obtained by Veer and Kevin.
Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.
Explain why time is probably one of the most valuable possessions that one intensely regrets losing. \hfill (The Ball Poem)