Question
A, B, and C can do a piece of work in 6 days. If A alone
can do this work in 36 days and B alone can do it in 12 days, then in how many days will C alone complete the work?Solution
A+B+CABC 63612 36 (total work) 6132 (total efficiency) Efficiency of C = (A+B+C)-(B+A) =6-4=2 C alone complete the work =36/2 =18days
Three cubes of metal whose edges are 3cm, 4cm and 5cm. respectively are melted and a single cube is formed. What is the length of the edge of the newly ...
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If a² + c² + 17 = 2(a - 8b - 2c²), then what is the value of (a³ + b³ + c³)?
The roots of the quadratic equation x² + px + q = 0 are in the ratio 3:4. If the sum and product of the roots are 7 and 12, respectively, find the valu...
ABCD is a cyclic quadrilateral in which AB =16.5 cm. BC = x cm. CD= 11 cm. AD 19.8 cm, and BD is bisected by AC at O. What is the value of x?
A company’s expenditure on three departments over four years is as follows (in thousands):
What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x² + x - 6)?
What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
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