List of practice Questions

The capital of Sikkim is:
Harike Barrage is in which state?
Kochi port is situated in
According to the 2011 census, the population of India is
Urban population in India in 2011 was
Gibraltar is related to
The lowest female literacy in India in 2011 was in
Robusta is associated with
Kakrapara is situated in which state?
What is Mumbai High?
Baba Budan hills are famous for:
Which of the following is a leading state in sugar production?
Vadodara is situated in which state?
When was Environment Protection Act implemented?
How much work is done to slide a crate for a distance of 25 m along a loading dock by pulling on it with a 180 N force where the dock is at an angle of \(45^\circ\) from the horizontal?
Consider the function \( f(x) = x^{2/3} \cdot (6 - x)^{1/3} \). Which of the following statements is false?
At how many points do the following curves intersect: \[ \frac{y^2}{9} - \frac{x^2}{16} = 1 \quad {and} \quad \frac{x^2}{4} + \frac{(y - 4)^2}{16} = 1 \]
The value of \( f(1) \) for \( f \left( \frac{1-x}{1 + x} \right) = x + 2 \) is:
Among the given numbers below, the smallest number which will be divided by 9, 10, 15 and 20 and leaves the remainders 4, 5, 10 and 15, respectively, is:
If \( (4, 3) \) and \( (12, 5) \) are the two foci of an ellipse passing through the origin, then the eccentricity of the ellipse is:
The number of one-one functions \( f: \{1, 2, 3\} \to \{a, b, c, d, e\} \) is:
The value of \( \tan\left(\frac{\pi}{4} + \theta\right) \times \tan\left(\frac{3\pi}{4} + \theta\right) \) is:
The value of \( \Sigma_{r=1}^{n} \frac{1}{2^n nPr r!} \) is:
If three distinct numbers are chosen randomly, three of them are divisible by both 2 and 3 from the first 100 natural numbers, then the probability that all three are divisible by both 2 and 3 is:
If \( f(x) = \cos([\pi^2] \cdot x) + \cos([-\pi^2] \cdot x) \), where \([ \cdot ]\) denotes the greatest integer function, then \( f\left(\frac{\pi}{2}\right) = \)