Question
50 children can decorate a hall in 25 days. If 25
children began decorating and after 10 days ‘z’ additional children joined, completing the decoration in 20 more days, find ‘z’.Solution
Total work = 50 × 25 = 1250 units Work completed by 25 children in 10 days = 25 × 10 = 250 units Remaining work to be completed by (25 + z) children = 1250 – 250 = 1000 units Therefore, (25 + z) × 20 = 1000 Or, 25 + z = 1000 / 20 Or, 25 + z = 50 Or, z = 50 – 25 = 25 Number of children added = 25
If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (p² + q² + r²).
((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?
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Find the value of the given expression-
(4x+4 -5× 4x+2) / 15×4x – 22×4x
If 4x² + y² = 40 and x y = 6, then find the value
of 2x + y?
If p = 40 - q - r and pq + r(q + p) = 432, then find the value of (p² + q² + r²).
47.98 × 4.16 + √325 × 12.91 + ? = 79.93 × 5.91
If x + y = 4 and (1/x) + (1/y) = 24/7, then the value of (x3 + y3).
- If p = 20 - q - r and pq + r(p + q) = 154, then find the value of (p² + q² + r²).
If a = (√2 - 1)1/3, then the value of (a-1/a)3 +3(a-1/a) is: