Question
If a + b + c = 6, aĀ² + bĀ² + cĀ² = 14 and ab + bc+ ca =
11, then what is the value of aĀ³ + bĀ³ +cĀ³ ā3abc?Solution
Given ā a + b + c = 6 aĀ² + bĀ² + cĀ² = 14 ab + bc+ ca = 11 thenĀ aĀ³ + bĀ³ +cĀ³ ā3abc = (a+ b+ c) (aĀ² + bĀ² + cĀ² -ab-bc-ca) = 6 (14-11) =6 Ć3=18
The income of āAā increases by 26% every year. If the present income of āAā is Rs. 25401.6 and his expenditure 2 years ago from now was Rs. 1400...
In each population, 30% of the population is affected with asthma out of which 90% of asthma patients used to work in flour mills. If 30% of the total p...
The weight of two persons Vishwas and Vivek are in the ratio 5:7. If the weights are increased in such a way that Vivek’s weight is increased by 2...
'Q' spends 25% of his monthly income on rent, 40% on groceries, and 15% of the remaining amount on entertainment. He saves the rest of the money in a fi...
50% students (boys + girls) in a math class are boys. Out of total boys, 65% are literate and 70 are illiterate. Find the number of literate girls in th...
A girl found the answer for the question āsubtract the sum 1/2 Ā and 1/8 Ā from unity and express the answer in decimalsā as 1.5. The percentage of ...
Two numbers are less than a third number by 35% and 48% respectively. Find the percent by which the second number is less than the first.
In 2020, Sumit's expenditure and savings are in the ratio of 4:3 . The following year, his expenditure increases by 25% , and his savings grow by (100/3...
In an assessment, Harsh scored 38 marks less than Simran. Simran scored 28 more marks than Alok. Kunal scored 100 marks which is 23 marks more than Hars...
A plane can travel 36 km against the wind and 80 km with the wind in 4 hours. How much percent is the speed of the plane against the wind less than the ...
Relevant for Exams:
