Delhi SI CPO Nov 23 Shift-2
For the following questions answer them individually
If $$x^{2}- 5x + 1 = 0$$, then the value of $$\left(x^{4} + \frac{1}{x^{2}}\right) \div (x^{2} + 1)$$ is:
Rice is now being sold at ₹29 per kg. During the last month, its cost was ₹25 per kg. By how much percentage should a family reduce its consumption, so as to keep the expenditure the same as before? (correct to nearest integer)
Let $$\triangle ABC \sim \triangle RPQ$$ and $$\frac{ar(\triangle ABC)}{ar(\triangle PQR)} = \frac{4}{9}$$. If AB = 3 cm, BC = 4 cm and AC = 5 cm, then PQ (in cm) is equal to:
If $$x + y + z = 19, xyz = 216$$ and $$xy + yz + zx = 114$$, then the value of $$ x^{3}+ y^{3}+z^{3} + xyz$$ is:
The monthly salary of a person was ₹50,000. He used to spend on Family expenses (E), Taxes (T), Charity (C), and the rest were his savings. E was 60% of the income, T was 20% of E, and C was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T becomes 30% of E and C becomes 20% of T. The difference between the two savings (in ₹)is :
A man bought an article and sold it at a gain of 10%. If he had bought the article at 20% less and sold it for ₹1,000 more, he would have made a profit of 40%. The cost price of the article (in ₹) is:
The given pie chart shows the percentage distribution of 450 employees in an organisation. Study the pie chart and answer the question that follows.
What is the central angle of the sector representing the number of employees in department A?
Asha and Suman’s mud forts have heights 9 cm and 16 cm. They are 24 cm apart. How far (in cm)are the fort tops from each other ?
Two pipes can fill a tank in 15 hours and 4 hours, respectively, while a third pipe can empty it in 12 hours. How long (in hours) will it take to fill the empty tank if all the three pipes are opened simultaneously?
