Question
55 men can complete a piece of work in 12 days. 15 men
started the same work and worked for 10 days, and then joined by ‘x’ more men such that the remaining work is completed in 10 days. Find the value of ‘x’.Solution
According to the question, 55 × 12 = 15 × 10 + (15 + x) × 10 Or, 660 = 150 + 150 + 10x Or, 660 - 300 = 10x Or, x = 36
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)?
