Delhi SI CPO Nov 24 Shift-1

Pipes A, B and C can fill an empty tank $$\frac{30}{7}$$ hours, if all the three pipes are opened simultaneously. A andB are filling pipes and C is an emptying pipe. Pipe A can fill the tank in 15 hours and pipe C can empty it in 12 hours. In how long (in hours) can pipe B alone fill the empty tank?

Let $$ \triangle ABC \sim \triangle RPQ$$ and $$\frac{ar(\triangle ABC)}{ar(\triangle PQR)}=\frac{4}{9}$$ .If AB=3cm ,BC=4cm, and AC=5cm , then RP (In cm )is equal to :

The students of a class donated a sum of ₹2,809 to the Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:

The value of
$$ 2\frac{1}{3} \div2 \frac{1}{2 } of  1 \frac{3}{5} + \left(\frac{3}{8}+\frac{1}{7}\times1\frac{3}{4}\right)$$

If $$x^{2}+8y^{2}+12y-4xy+9 = 0$$, then the value of $$(7x + 8y)$$ is :

The given bar graph represents the number of boys and girls in five different schools. Read the graph and answer the question that follows

In $$\triangle ABC $$, AB and AC are produced to points D and E, respectively. If the bisectors of $$ \angle CBD$$ and $$ \angle BCE $$ meet at the point O, and $$\angle BOC= 57^\circ$$, then $$ \angle A$$ is equals to:

If $$\sin 3x = \cos (3x - 45^\circ), 0^\circ < 3x < 90^\circ$$, then x is equal to:

The value of
$$ (5\div2 of \frac{1}{2})+(5\frac{1}{4}\div\frac{3}{7}of\frac{1}{2})\div(5\frac{1}{9}-7\frac{7}{8}\div9\frac{9}{20}) \times\frac{11}{12}$$ is :

When operated separately, pipe A takes 5 hours less than pipe B to fill a cistern, and when operated together, the cistern gets filled in 6 hours. In how much time (in hours) will pipe A fill the cistern, if operated separately