A positive number is 5times another number. If 21 is added to both the numbers, the none of the new numbers becomes twice the other new number.

see ani=19 years and biju =16 years is the answer which satisfies all the condition if ani=19 then Dharam=38years , if biju=16 then cathy=8 years , which satisfies the condition...

(b) Primary and secondary markets complement each other. Primary market deals with the issue of new securities. That is, through the primary market a company raises capital directly from the borrowers....

Let, a = 2p+1, p∈N and b = 2q+1 , q∈N\(\cup\){0} \(\because\) a > b ⇒ 2p+1 > 2q+1 ⇒ p > q \(\frac{a+b}{2}\) = \(\frac{2p+1+2q+1}{2}\) = p+q+1 \(\frac{a-b}{2}\) = \(\frac{2p+1-(2q+1)}{2}\) = p-q Case-I: \(\frac{a+b}{2}\) is odd which implies p+q+1 is odd \(\Rightarrow\) p+q is even (\(\because\) odd - 1 = even) \(\Rightarrow\) p+q-2q...

The changes that can be reversed (reversible).

x can be any one of 1, 2, 3 or 4. y can be any one of 1, 4, 9 or 16 Total number of cases of product of x and y...

(b) 382 = 1444  392 = 1521  Required number = 1521 – 1500 = 21

(a) 392 = 1521 ; 382 = 1444 382 < 1500 < 392 To make1500 a perfect square, 21 should be added to it.

(b) Let the number be x. x2 + 612 = 5242 x2 = 5242 – 3721 = 1521 x = 39

(d) √4400 = 66.33 Required number = 672 – 4400 = 4489 – 4400 = 89

(c) Let the number be x 15% of x + 10% of x = 70 25% of x = 70 x=70 * 100/25 =280 Twice of that number = 280 × 2 = 560