Can anyone share the PDF related to Functions and graphs.
thanks
The roots of the equation x^2 – 2ax + 4a^2 – 1 = 0 are real. If p = 5 – a^2, then
range of P is __
y = 25^6k - 1,k is a natural number. y will be divisible by :
a) 336
b) 504
c) both
6 bangles each of 4cm in diameter.what is the minimum diameter of the plate required so that each bangles are kept without overlapping(touchng each other)???
Q. (Kindly share your approach)
An alloy is made by mixing 2 metals in the ratio of 2:3 and their costs are in the ratio 5:2. If 1 kg of alloy was sold at 384 /- at 20% profit,find the cost of 1 kg of cheaper metal?
😉
log 15 = a , log 20 = b .. then find log 12 in terms of a and b... Explain in detail please
If a, b are odd positive integers, is (a – b) divisible by 2^n, where n is a positive integer?
A. (a^2 – b^2) is divisible by 2^n
B. (a^3 – b^3) is divisible by 2^n
PS: It's DS and u know the options.
For 1st 100 natural numbers, how many numbers are: co-prime to at least one number among 2 or 3 or 5
How many numbers between 200 and 1200 can be formed with the digits 0,1,2,3(repetition of digits not allowed)
a)6
b)8
c)2
d)14
e)16
Please let me know the solution to this...Thanks.
What is the common difference if 1 , log(y)x , log(z)y , -15log(x)z are in AP?(a) -2 (b) 2 (c) ½ (d) None of these
log(base)number
volume of frustrum of a cone with base n top radius as 3 and 2 resp. with height 3 in terms of pi is ?
Q1-: Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs. 32.
1. How many rupees did Suvarna start with?a. Rs. 60 b. Rs. 34 c. Rs. 66 d. Rs. 28
2. Who started with the lowest amount?a. Suvarna b. Tara c. Uma d. Vibha
3. Who started with the highest amount?a. Suvarna b. Tara c. Uma d. Vibha
4. What was the amount with Uma at the end of the second round?a. 36 b. 72 c. 16 d. None of these
How many numbers between 2000 and 3000 can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 (repetition of digits not allowed) ?
Can please explain Ceil and Floor functions...
Let N be a positive integer such that N when divided by 9, 10, and 11 leaves remainder as 4, 5, and 6 respectively. The remainder when N^3 + 2N^2 - N - 3 is divided by 60
the 84 will be 10010 in base 3.
The remainder when 28! is divided by 62 is
Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?
A.
1/18
B.
64/4032
C.
63/64
D.
1/9
In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?
A.
4/7
B.
4/9
C.
5/7
D.
2/7