List of practice Questions

Which of the following is a set of homogeneous mixtures?
1. Air
2. Mist
3. Sugar solution
4. Milk
Which planet's rotation is different from the earth’s rotation?
According to Bohr model, the maximum number of electrons occupying M-shell will be
Which of the following statements are correct?
(i) Velocity of sound waves is greater in solids than liquids.
(ii) Velocity of sound waves in vacuum is 330 m/s.
(iii) Sound waves are longitudinal waves.
(iv) Velocity of sound waves in vacuum is zero.
Find the volume of the cuboid if length is 12 cm, breadth is 8 cm and height is 10 cm? (in cubic cm)
If two six-sided similar dice are rolled, then the probability that the sum of the numbers on the two dice is not equal to 7 is:
How many spherical balls can be made out of a solid cube of iron whose edge measures 44 cm and each ball being 4 cm in diameter? (Take \( \pi = \frac{22}{7} \))
Evaluate: \[ \sqrt{\sin^4 x + 4\cos^2 x} - \sqrt{\cos^4 x + 4\sin^2 x} = ? \]
A force acting on an object of mass 500 g changes its velocity from 200 cm/s to 0.2 m/s. The change in momentum
Among the following, the correct picture representation of the number of school teachers in Delhi is:
picture representation of the number of school teachers in Delhi
Evaluate \( \sin 210^\circ \cdot \cos 240^\circ \cdot \tan 150^\circ \):
In a triangle, if the three angles are in the ratio \( 2 : 5 : 8 \), then the values of those three angles are:
Solve: \( 3 + \frac{1}{2 + \frac{1}{5 + \frac{1}{4}}} \)
The area of the rectangular park whose length is 7 meters more than its breadth is 260 sq meters. For fencing the entire boundary of the park if ₹9000 is spent, then the cost of fencing per meter is (in ₹):
If \( A(2, 3) \) and \( B(4, 5) \) are the end points of a straight line AB, then the slope of straight line AB is:
Among the following, identify the pair of triangles that are NOT similar.
Among the following expressions, the one that is a polynomial is:
If \( a, b, c \) elements are in geometric progression, then \( \log a, \log b, \log c \) will be in:
Calculate the compound interest on ₹1000 for a period of one year at the rate 10% per annum, if interest is compounded quarterly?
Calculate the compound interest on ₹ 1000 for a period of one year at the rate of 10% per annum, if interest is compounded quarterly.
If \( A : B : C = 2 : 3 : 4 \), then find the value of \( \frac{A}{B} \div \frac{B}{C} \div \frac{C}{A} \):
If the price of a book including 10% G.S.T. is ₹880, then the original price of the book without G.S.T. is:
Evaluate \( \sqrt[3]{21952} + \sqrt{2025} \):
If \( 2 \log 5 + \frac{1}{2} \log 9 - \log 3 = \log x \), then the value of \( x \) is:
Let $ x_0 $ be the real number such that $ e^{x_0} + x_0 = 0 $. For a given real number $ \alpha $, define $$ g(x) = \frac{3xe^x + 3x - \alpha e^x - \alpha x}{3(e^x + 1)} $$ for all real numbers $ x $. Then which one of the following statements is TRUE?