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Dimensional formula for Boltzmann’s constant is

The dimensional formula of Boltzmann constant is given by [M1 L2 T-2 K-1]. Here, M represents mass, L represents length,... View Article

The escape velocity ‘v’ of a body depends upon (1) the acceleration due to gravity (g) of the planet and (2) the radius (R) of the planet. Use the method of dimensions to obtain a relation between v, g and R.

The escape velocity ‘v’ of a body depends upon the acceleration due to gravity (g) of the planet and the... View Article

Find the equivalent fraction of 3/5 with numerator 27.

To find the equivalent fraction of 3/5 with numerator 27, we have to make the numerator as 27.Let’s multiply 3... View Article

Three successive discounts of 6%, 10%, 15% is equal to a single discount of

(a) 25% (b) 28.90% (c) 28.09% (d) 30% Correct answer: (c) 28.09% Let Rs.100 be the price. The sale price... View Article

Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.

The prime factorization of 8788 is:8788 = 2 × 2 × 13 × 13 × 138788 = 4 × (13... View Article

Factorise 54x^2 + 42x^3 – 30x^4.

Answer: \(\begin{array}{l}54x^{2}+42x^{3}-30x^{4}\end{array} \) \(\begin{array}{l}-2x^{2}(15x^2-27-21x)\end{array} \) \(\begin{array}{l}-2x^{2}(15x^2-21-27x)\end{array} \) \(\begin{array}{l}-2x^{2}\times 3(5x^{2}-7x-9)\end{array} \) \(\begin{array}{l}-6x^{2}(5x^2-7x-9)\end{array} \)

A cone and a sphere have equal radii and equal volume. What is the ratio of the diameter of the sphere to the height of a cone?

The ratio of diameter of the sphere to the height of a cone is 1 : 2.

50 circular plates each of radius 7cm and thickness 1/2 cm are placed one above another to form a solid right circular cylinder. Find total surface area and volume of cylinder so formed.

Answer: The total surface area of the solid right circular cylinder is 26708 cm2. The volume of a right circular... View Article

Two unbiased dice are thrown simultaneously. What is the probability of getting at most one five in a single throw of the two dice?

Answer: The required probability of getting at most one five in a single throw of the two dice is 5/18.

Solve and find the value of sin 36

Answer: \(\begin{array}{l}\sin 36=\frac{\sqrt{10-2\sqrt{5}}}{4}\end{array} \)

Which of the following is equal to x?

Which of the following is equal to x? a) \(\begin{array}{l}\sqrt[12]{(x^4)^{1/3}}\end{array} \) b) \(\begin{array}{l}(\sqrt{x^{3}})^{2/3}\end{array} \) c) \(\begin{array}{l}x^{12/7}-x^{5/7}\end{array} \) d) \(\begin{array}{l}x^{12/7}\times x^{7/12}\end{array}... View Article

Which of the following is not a polynomial

Which of the following is not a polynomial (a) y^2 + 2 (b)x + y – 3 (c) y +... View Article

What comes after 10 crore in indian system

As per the Indian system after 10 crores, we get the 100 crores.

Arrange the following in ascending order: (a) 6784567690 (b) 3763674973879 (c) 12905647862

The numbers 6784567690, 3763674973879, 12905647862 arranged in ascending order are 6784567690, 12905647862 and 3763674973879.

What is the total surface area of hemisphere

Total surface area of a hemisphere is 3 πr 2, where r = radius of the hemisphere.

How many number plates can be made if the number plates have two letters of the english alphabet (a-z) followed by two digits (0-9) if the repetition of digits or alphabets is not allowed?

Answer: 58,500 number plates We have a total of four places to cover with two alphabets and two digits ... View Article

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