Question
If (p + q + r) = 4, and (p² + q² + r²) =
56Solution
ATQ,
We have, (p + q + r) = 4
Squaring on both sides, we get
(p + q + r) ² = 4²
Or, p² + q² + r² + 2(pq + qr + rp) = 16
Or, 56 + 2(pq + qr + rp) = 16
Or, 2(pq + qr + rp) = 16 - 56 = -40
So, (pq + qr + rp) = ( - 40/2) = - 20

(22 × 52 ) + 4 × 6 = ? - √324
What should come in place of (?) question mark in the given expression.
 (25% of 320) + (3/8 of 400) − 30 = ?
(5832)1/3  × 10.11 × 11.97 ÷ 16.32 = ? + 45.022
82% of 400 + √(?) = 130% of 600 - 85% of 400
If (x + 1/x) = 5, then value of x3 + 1/x3 is:
Simplify: (1 ÷ 0.08)
What should come in place of (?) question mark in the given expression.
{ (144 ÷ 12) × 5 } − (18 ÷ 3) = ?
Simplify the following expressions and choose the correct option.
(3/4 of 256) + (2/5 of 150) - (72 ÷ 7)
464 + 181 +? = (154 × 25) - (15) 2 Â
15% of 1800 + 22 = ?Â