List of practice Questions

The sum of the exponents of the prime factors in the prime factorization of 156 is
Ethyl alcohol upon oxidation produces
Which of the following are called paraffins?
Ethene and ethyne differ in
Which term of the geometric progression \(2,2\sqrt{2},4,…..\)is \(128?\)
If the geometric progressions 162, 54, 18, ..... and \(\frac{2}{81},\frac{2}{27},\frac{2}{9}\),…have their nth term equal, then the value of n is
The points A(-5,0), B(5,0) and C(0,4) are the vertices of which triangle?
The X-axis divides the line joining the points A(2,-3) and B(5,6) in the ratio of
If four vertices of a parallelogram are (-3,-1),(a,b),(3,3) and (4,3) taken in order,then the ratio of a and b is
If the centroid of the triangle formed by the points \((3,-5),(-7,4)\) and \((10,-k )\) is at the point \((k, –1)\), then the value of k is
If AM and PN are the altitudes of two similar triangles \(∆ABC\) and \(∆PQR\) respectively and \((AB)^ 2 : (PQ) ^2 = 4 : 9\), then \(AM : PN =\)
In the given \(∆ABC\), if \(DE || BC, AE = a\) units, \(EC = b\) units, \(DE = x \) units and \(BC = y\) units, then which of the following is true?
if DE || BC, AE = a units, EC = b units, DE = x units
In the given figure, PA is the tangent drawn from an external point P to the circle with center O. If the radius of the circle is 3 cm and PA = 4 cm, then the length of PB is
A is the tangent drawn from an external point P
In two concentric circles, a chord of length 24 cm of larger circle becomes a tangent to the smaller circle whose radius is 5 cm. Then the radius of the larger circle is
two concentric circles
The area of the circle that can be inscribed in a square of side 10 cm is
If the height of a conical tent is 3 m and the radius of its base is 4 m, then the slant height of the tent is
If the radius of the base of a right-circular cylinder is halved, keeping the height same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
If \(tan\ \theta=\sqrt{3}\), then the value of \(sec\ θ\) is
A chord of a circle of radius 6 cm is making an angle 60º at the centre. Then the length of the chord is
If \(\tan \theta + \cot \theta = 5\),then the value of \(\tan^2 \theta + \cot^2 \theta\) is
\(\cos(36^\circ) \cos(54^\circ) - \sin(36^\circ) \sin(54^\circ)=\)
The angles of elevation and depression of the top and bottom of a lighthouse from the top of a 60 m high building are 30º and 60º respectively. Then the difference between the heights of the lighthouse and building is
Which of the following cannot be the probability of an event?
If one card is drawn at random from a well-shuffled deck of 52 playing cards, then the probability of getting a non-face card is
A lot consists of 144 ball pens of which 20 are defective and the others are good.Rafia will buy a pen if it is good but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. The probability that she will buy that pen is