Statement-1: A and B are two weak students in Mathematics and their chances of solving a problem correctly are 1/8 and 1/12 respectively. They are given a question and they obtain the same answer. If the probability of a common mistake is then the probability that the answer was correct is
Statement-2: If and are two mutually exclusive and exhaustive events with non-zero probability of a random experiment and E is any other event of the same experiment then

The probability of the simultaneous occurrence of two events A and B is p. If the probability that exactly one of A,B occurs is q, then

A gas in an open container is heated from 27°C to 127°C. The fraction of the original amount of gas remaining in the container will b

For such questions, we should know idea gas equation. We have to be careful about constant and variable values. And we always have to convert the temperature into Kelvin. To convert the temperature in °C into Kelvin, we add 273 to it.

If the sum of the ordinate and the abscissa of a point is (where are natural numbers) then the probability that does not line on the line is

1 mole of N₂O₄ (g) at 300 K is kept in dosed container under 1 atm. It is heated to 600K when 20% mass of N₂O₄(g) decomposes to NO₂(g). The resultant pressure is

If the minimum value of the expression can be expressed in the form where a, b N and are in their lowest term then the value of (a + b) equals

Consider the lines represented parametically as
L₁ :
L₂ :
Find equation of the plane P containing the line L₂ and parallel to the line L₁, is

let l ,m,n be the D.Cs of a vector and a,b,c are three numbers such that a,b,c are proprotionals to l,m,n i.e, are direction rations

be a vector having drs the angle between two lines whose DCs are is
A vector has length 21 and drs 2,3,6 the dcs of when makes an obtuse angle with x-axis is

equals to

If A = , then det (adj. (adj. A)) is

Let S be a set containing n elements. Then the total number of binary operations on S is

is equal to

The sum of

If x is nearly equal to 1 such that , then the value of l is

Greatest term (numerically) in the expansion of if and is

Co-efficient of in the expansion of is