List of practice Questions

If the line \(PQ\) is parallel to line \(BC\) of \(\triangle ABC\), then
line PQ is parallel to line BC of △ABC
Three solid spheres, whose radii are 3 cm, 4 cm and 5 cm melted into a single sphere, its radius is
Find the average of first fifty natural numbers
If \(\alpha, \beta\) are the roots of the equation \(2x^2 - 3x + 1 = 0\), then the value of \(\alpha^3 + \beta^3\) is
If \(\sin \theta = \frac{1}{\sqrt{2}}\), then the value of \(3 \sin^2 \theta - 4 \sin^3 \theta \cdot \cos \theta\) is
If \(9 : 15 : : 45 : x\), then the value of \(x\) is
The value of \(\csc^2 67^\circ - \tan^2 23^\circ\) is equal to
The number of 6 cm cubes can be cut from a cuboid measuring 36 m \(\times\) 15 m \(\times\) 8 m is
If \(\log_m m + \log_{\frac{1}{6}} \frac{1}{3} = 2\), then \(m\) is equal to
If \(x^y = y^x\) then \(\left(\frac{x}{y}\right)^{x/y}\) is
In the given figure of circle with centre O, chord AB makes an angle of \(80^\circ\) with the centre. Then \(\angle APB\) is
circlewithcentreO,chordAB
\(\cos 75^\circ + \sin 75^\circ\) is equal to
The arithmetic mean of given data will be 67, 65, 71, 57, 45
The length of a rectangle is 8 cm more than its breadth. If the perimeter of the rectangle is 68 cm, then its length and breadth is
A 100 m long train is moving at a speed of 60 km/h. Then the train will cross a signal pole in
The median of first ten prime numbers is
The sum of roots of the equation \(x^2 - 3x - 28 = 0\) is
If one root of equation \(2x^2 - 10x + P = 0\) is 3, then the value of P is
If \(x + y = 7\) and \(3x - 2y = 11\), then
The value of \(\tan \left(\frac{\pi}{4} + \theta \right) \cdot \tan \left(\frac{3\pi}{4} + \theta \right)\) is
If \(a + b + c = 11\) and \(ab + bc + ca = 20\), then the value of \(a^3 + b^3 + c^3 - 3abc\) is
If \(\cos A = \frac{1}{7}\) and \(\cos B = \frac{13}{14}\), then \(\cos (A - B)\) is
What must be added in \(\frac{9}{x^2} + 4y^2\) to make it a whole square?
If \(a : b = 3 : 4\) and \(b : c = 8 : 9\), then \(a : c\) is
If \(\overline{x}\) is the mean of \(n\) observations \(x_1, x_2, x_3, \ldots, x_n\), then \(\sum_{i=1}^{n}(x_i - \overline{x})\) is equal to