For the following questions answer them individually
If $$a + b +c= 6$$, $$a^{2}+ b^{2}+ c^{2} = 14$$, find the value of $$bc + ca + ab$$.
Find the value of the expression $$x^{5}-12x^{4}+12x^{3}-12x^{2}+12x - 1$$ when $$x = 11$$.
If $$x+\frac{1}{x}=2$$, find the value of $$(x^{2}+\frac{1}{x^{2}})(x^{3}+\frac{1}{x^{3}})$$
If $$x=\frac{3\sqrt{m+1}+3\sqrt{m-1}}{3\sqrt{m+1}-3\sqrt{m-1}}$$, then the value of $$x^{3}-3mx^{3}+3x-m$$ is
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but they are forced to leave after 3 days. The remaining work was done by A in
When 7 is subtracted from thrice a number, the result is 14. What is the number ?
The least number which should be multiplied to 243 to get a perfect cube is
In a basket, there are 125 flowers. A man goes to worship and offers as many flowers at each temple as there are temples in the city. Thus he needs 5 baskets of flowers. Find the number of temples in the city.
Product of the three consecutive numbers whose sum is 15,
The simplified value of $$999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7}$$ is
Day-wise Structured & Planned Preparation Guide
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