More than half the no. of boys and girls play tennis. Therefore column A is greater.

The only prime numbers whose sum is 12 are 5 and 7, both of which are less than 8.

Note that 1+11 =12 but 1 is not prime numbers.

Col. B = -1 × Col. A

∴ Col. A= 16 + 8 + 4 + 2 = 30

∴ Col. B = -30

By distance formula

10 = \(\sqrt{(q-p)^{2}+(-3-5)^{2}}\)

∴ 100 = (q - p)² + 64 ∴ q - p = 6

Compare the columns piece by piece. Note that a and b are positive and c and d are negative. Also a > b and C > d.

∴ a + c > b + d

Line passing through (-3, 3) and (0, 0) has slope -1. Line ℓ is steeper, so its slope is -2, -3, -4....

Line m is less steeper. So its slope could be -0.2, -0.1, -0.01...

Line ℓ which pastes through origin and (2, 2) also passes through point (p, p). Since P(p, q) is below line ℓ, q < p.

If the sides of the square are exactly horizontal and vertical, then S = 1 or -1. However, the square could be positioned in any place and so the slope of the diagonal could be any no. Example -

Col. A-

X² = 6x + 9 = (x + 3)²

∴ Value required = (43.9 + 3)² = (46.9)²

Col. B-

X² - 6x + 9 = (x - 3)²

∴ Value required = (49.9 - 3)² = (46.9)²

For the average to be 80, it is not. mandatory to have exactly 5 nos. above 80 and 5 below 80.

In fact. All we can say is that there should be atleast one grade above 80 or atleast one below 80.