Question
A and B can complete a work together in 32 days. If A
alone can complete one-fourth of the work in ‘x’ days and remaining work is completed by B alone in 6x days, then find the value of x.Solution
Time taken by A to complete the work = (x × 4) = 4x days Time taken by B to complete the work = (6x × 4/3) = 8x days According to question, => (1/4x) + (1/8x) = 1/32 => (2 + 1)/8x = 1/32 => 8x = 96 => x = 12
- If p = 25 - q - r and pq + r(p + q) = 256, then find the value of (p² + q² + r²).
If 27x3 - 8y3 = (3x - Ay) X (Bx2 + 4y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If, 6x + y = 20, and 2xy = 32, and 6x > y, then find the value of 216x³ – y³.
If ab + bc + ca = 0
Find the value of 1/(a2 - bc) + 1/(b2 - ca) + 1/(c2 - ab)
If A = (7)1/3 + (7) -1/3, then the value of {3A3 – 9A} will be:
- If 2a - 3b = 8 and ab = 7, then find the value of 2a + 3b.
 + Find the value of the given expression-
(4x+4 -5× 4x+2) / 15×4x – 22×4x
Atul has Rs.500 with him. He invested 30% of the amount at 5% p.a. for 6 years and rest at 20% p.a. for 4 years. Find the sum of simple interests receiv...
Simplify the expression:
3x + 5y - [(7x + 3y) - (2x + y) + 4y] - x
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