If x=2, y=1, z=-3, then x3+ y3 = z3- 3xyz equals
Here x+y+z = 2+1-3=0
Find the biggest 4- digit number which is a perfect square.
9801 is the square of 99
When x13+1 is divided by x-l, then what is the remainder?
Let p(x) = x+1 then, x-1 = O
then by remainder theorem
p(1) =(1)13 + 1
If A and B are non- empty subsets of a set C, then A(AB) is equal to
Given, A and B are non-empty subsets of C
AC and BC
Now, A(AB)= A
The population of a village increases by 5% yearly. If at present the population of the village is 4410, then what was the population before two years?
The population before two years =
From a pack of 52 playing cards, a card is drawn at random. What is the probability that the card is a spade or an ace?
Let A be the event of getting a spade and B be the event of getting an ace then,
and P(AB)= (one spade is an ace)
A company makes an advertisement of shares to collect a capital of 25 lakh. If the printed price of one share is 100, then find the number of shares circulated by the company.
Number of shares == 25000
In the given figure, ABCD is a cyclic quadrilateral. Then, the ordered pair (x,y) is
Given, ABCD is a cyclic quadrilateral.
We know that sum of opposite angles of a cyclic quadrilateral is 180.
4x+ 4y+ 20 = 180
4x + 4y=160
x+ y= 40 ... (1)
Also, (7x+5) +(3y-5)= 180°
On solving Eqs. (1) and (2), we get,
x = 15° and y= 25°
If a, a + 2, a + 4 are prime numbers, then the number of values of a is
more than three
Given, a, a+2, a+4 are prime numbers.
1) If a= 2 (prime)
then 2, 4, 6 all are not prime numbers.
2) If a= 3 (prime)
then, 3, 5, 7 all are prime numbers.
3) If a =5
then, 5,7, 9 all are not primer numbers.
4) If a =7
then, 7, 9, 11 all are not prime numbers.
For what value of x, the mode of the following data is 27?
Mode is the most frequent value in a data, here 25,26 and 27 have occurred three times in the data, so in order to be 27 as Mode of the data then x must be 27.