Is `7 xx 5 xx 3 xx 2 + 3` a composite number? Justify your answer.

Explain why 7xx11 xx 13 + 13 and 7 xx 6xx 5 xx 4 xx 3 xx 2xx 1 +5 are composite numbers.

Let f be the subset of Z xx Z defined by f={(ab,a+b) : a,b in Z} . Is f a function from Z to Z? Justify your answer.

Solutions of two electrolytes 'A' and 'B' are diluted. The Lambda_(m) of 'B' increases 1.5 times while that of A increases 25 times. Which of the two is a strong electrolyte? Justify your answer.

How will you show that (17xx11xx2)+(17xx11xx5) is a composite number? Explain.

(-6) xx (-5) xx (-7) xx (-3) = square

square xx square + square xx square = square [Let's take numbers on your own]

square xx square + square xx square = -100 [Let's take numbers on your own]

(-2) xx (-5) xx (-4) xx (-8)

Take any three consecutive odd numbers and find their product, for example 1 xx 3 xx 5 = 15 , 3 xx 5 xx 7 = 105 , 5 xx 7 xx 9 -.......... Is there any pattern you can guess in these products? What can you conjecture about them?

Let’s find the value of 3 xx (-5) on the number line.