Question
In the given figure, AB ∥ QP, AB = x, PQ = x + 10, RB
= x/2, BP = x + 1. Find PQ.Solution
ATQ,
Given: AB∥PQ, so we use the Basic Proportionality Theorem:
Substituting values:
Multiply by 2 to remove the fraction:
2x(x+1)=x(x+10) Expand and simplify: x2 −8x=0 Factorize = (x−8)=0 Solve for x: x = 8 (since x=0 is not valid) Find PQ: PQ = x+10 = 8+10 = 18
(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
15% of 1800 + 22 = ?
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