There are three odd numbers and one even number. What type of number is their sum ? Bissoy Answers

Suggest a universal set for the set given below. A = {Even numbers less than 100} B={Odd natural numbers less than 100 in natural numbers }

Correct Answer - `mu = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12---------, 99}`

2 Answers 1 views

Which of the following are examples of the null set ? (i) Set of odd numbers divisible by 2. (ii) Set of even prime numbers. (iii) `A={x:x in N,1 lt x

Correct Answer - (i),(iv),(v),(vi)

2 Answers 1 views

The sum of three numbers in G.P. is 21 and the sum of their squares is 189. Find the numbers.

Correct Answer - `12, 6, 3 or 3, 6, 12`

2 Answers 1 views

Two different dice are thrown together. Find the probability that the numbers obtained have (i) even sum (ii) even product.

Correct Answer - ` (i) 1/2 (ii) 3/4 `

2 Answers 1 views

There are three odd numbers and one even number. What type of number is their sum ?

Correct option is (D) Odd number Sum of three odd numbers is odd. Sum of an odd number and an even number is odd. \(\therefore\) Sum of three odd numbers and one even number is odd.

2 Answers 1 views

Sum of probabilities of getting an even number and an odd number when a die is rolled is

Correct option is (D) 1 Possible outcomes when a die is rolled are S = {1, 2, 3, 4, 5, 6}. \(\therefore\) Total outcomes is n(S) = 6 E = Event of getting an even...

2 Answers 1 views

Sum of probabilities of getting an even number and an odd number when a die is rolled is 2 Answers 1 views

Use the definition of Odd and Even functions to determine whether each of the following functions is Odd, Even, or neither. Must show your work for credit II! 1) \( f(x)=\frac{x}{1-x^{3}} \) 2) \( f(x)=\frac{x^{2}}{1+x} \) 3) \( \quad f(x)=x-|x| \)

(1) f(x) = \(\frac{x}{1-x^3}\) f(-x) = \(\frac{-x}{1-(-x)^3}\) = \(\frac{-x}{1+x^3}\) ≠ -f(x) or f(x) ∴ f(x) is neither even nor odd function. (2) f(x) = \(\frac{x^2}{1+x}\) ∴ f(-x) = \(\frac{(-x^2)}{1+(-x)}\) = \(\frac{x^2}{1-x}\) ≠ -f(x) or f(x). (3) f(x) = x-|x| ∴ f(-x) = -x-|-x| = -x-|x| = -(x+|x|) ≠ -f(x)...

2 Answers 1 views

The sum of three numbers is 2. If twice the second number is added to the sum of first and third, we get 1. On adding the sum of second and third numb

Correct Answer - 1,-1,2

2 Answers 1 views

The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.

Let the numbers be ‘a’ and ‘b’. Given, sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. ⇒ a + b = 8 ⇒ a...

2 Answers 1 views

There are three odd numbers and one even number. What type of number is their sum ?

0 Answers