Look at the following pattern. i) `28=2^2×7^1` , Total number of factors `(2+ 1) (1+1) = 3×2 = 6` 28 is divisible by 6 factors i.e., 1,2,4,7,14,28.

Look at the following pattern. ii) 30=2^1×3^1×5^1 , Total number of factors (1+1)(1+1)(1+1)=2×2×2=8 30 is divisible by 8 factors i.e., 1,2,3,5,6,10,15 and 30 Find the pattern. [Hint: product of every prime base exponent + 1)

Find the sum of the following Aps, (i) 2,7,12,…..to 10 terms. (ii) -37, -33, -29 , to 12 terms (iii) 0.6, 1.7, 2.8,…… to 100 terms (iv) 1/15, 1/12, 1/10 , ………….. To 11 terms.

Find the sum of the following APs. (iii) 0.6, 1.7, 2.8, ………. to 100 terms.

Simplify the following complex numbers and find their modulus. =((2+4i)(-1+2i))/((-1-i)(3-i))

S.T The points are collinear (i) (1,2,3),(7,0,1),(-2,3,4)

In the Argand plane, the points represented by the complex numbers 2-6i ,4-7i, 3 - 5i and 1 - 4i form

Find the number of 4 - digit numbers that can be formed using the digits 1,2,5,6, 7. How many of them are divisible by i) 2 ii) 3 iii)4 iv) 5 v) 25.