Mathematics Tes...

If S denotes the sum of infinite and S_n denotes the sum of n terms of series  then the least value of n is :-

A and B are two square matrix such that A²B = BA and If (AB)¹⁰ = A^KB¹⁰ then K is :-

Coefficient of x⁶ in the expansion of (1 + x)¹⁰¹ (1 – x + x²)¹⁰⁰ is -

If x is an odd integer and y, z are even integers, satisfying x + y + z = 47 and x, y, z ≥ 0, then number of solutions are

There are 100 tickets numbered 00, 01, 02, ...., 99. One ticked is selected at random. Suppose A & B are the sum & product of the digits of numbers found on the ticket then 

The existence of unique solution of the system of equations, 

        x + y + z = β,

        5x – y + αz = 10,

        2x + 3y – z = 6

depends on

Consider three statements

p: Suyash will come today evening

q: Shalini will be at his home

r: They will go to party.

Then the statement (~q ∧ ~r) ⇒ p is logically equivalent to

Two data sets each of size 10 has the variance as 4 and k and the corresponding means as 2 and 4 respectively. If the variance of the combined data set is 5 · 5, then the value of k is equal to