Question
If a : b = b : c, prove that [katex]\frac{\text{abc(a + b + c)³}}{\text{(ab + bc + ca)³}}[/katex] = 1
If a : b = b : c, prove that = 1
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Question
If 15 farmers can cultivate 18 bighas of land in 5 days, determine by using the theory of variation the number of days required by 10 farmers to cultivate 12 bighas of land.
If 15 farmers can cultivate 18 bighas of land in 5 days, determine by using the theory of variation the number of…
Question
If a = [katex]\frac{√5 + 1}{\text{√5 - 1}}[/katex] and ab = 1 calculate ([katex]\frac{\text{a}}{\text{b}}[/katex] + [katex]\frac{\text{b}}{\text{a}}[/katex])
If a = and ab = 1 calculate ( + )
Question
Find the simplest value of: [katex]\dfrac{\sqrt{5}}{\sqrt{3}+\sqrt{2}}[/katex]
Find the simplest value of:
Question
If m + [katex]1\over m[/katex] = √3, then find the value of (a) m² + [katex]1\over m^2[/katex] and (b) m³ + [katex]1\over m^3[/katex].
If m + = √3, then find the value of (a) m² + and (b) m³ + .
Question
Form the quadratic equation whose roots are −4 and 3.
Form the quadratic equation whose roots are −4 and 3.
Question
Calculate the difference between compound interest and simple interest on Rs. 20,000 for 2 years at 5% per annum.
Calculate the difference between compound interest and simple interest on Rs. 20,000 for 2 years at 5% per annum.
Question
Three friends have started a business by investing Rs. 8,000, Rs. 10,000, and Rs. 12,000 respectively. They also took an amount as a bank loan. At the end of one year, they made a profit of Rs. 13,400. After paying the annual bank installment of Rs. 5,000, they divided the remaining money of the profit among themselves in the ratio of their capitals. Calculate the profit share of each.
Three friends have started a business by investing Rs. 8,000, Rs. 10,000, and Rs. 12,000 respectively. They also took an amount as…
Question
At the same rate of simple interest in percent per annum, if a principal becomes the amount of Rs. 7,100 in 7 years and Rs. 6,200 in 4 years, determine the principal and rate of simple interest in percent per annum.
At the same rate of simple interest in percent per annum, if a principal becomes the amount of Rs. 7,100 in 7…