1 3 5 3 4 5 9 2 8 7 2 3 6 5 2 7 3 8 1 2 1 8 4 9 8 1 2 4 7 3 5 2 4 8 9 8 2 4 How many such odd digits are there in the given arrangement, each of which

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.

There are two restrictions operating this question. 1.  For a number to be odd, the unit digit should be either 1,3,5,7 or 9. 2. Thousand can not be filled with 8 or...

B) always false

(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)...

Correct option is     A) 4 or 3

Recursive function

largest two digit no. divisible by 3 = 99 . Smallest two digit no. divisible by 3 = 12 . Now,  a1 = 12 a2 = 15 And  d  = (15 - 12)  ⇒ 3  Let an = 99 We...

(i) There will be as many ways as there are ways of filling 3 vacant places in succession by the given five digits. In this case, repetition of digits is...

Correct Answer - e No error.