SSC MTS QUANT QUIZ-4

The sides of a triangle are in the ratio $2: 3: 4$ The perimeter of the triangle is $18 \mathrm{~cm}$. The area of the triangle is?

A and B together can complete a piece of work in 16 days. They worked together for 7 days and then A alone finished the remaining work in 21 days. B alone can complete the work in ___ days.

If the roots of the equation $(q-r) x^2+(r-p) x+(p-q)=0$ are equal, then which of the following is true ?

A copper sphere of diameter $18 \mathrm{~cm}$ is drawn into a wire of diameter $4 \mathrm{~mm}$. The length of the wire, in metre is:

If the simple interest on a certain sum of money borrowed for 4 years at $8.5 \%$ per annum exceeds the simple interest on the same sum for 3 years at $10.5 \%$ per annum by Rs. 1000 , then the sum borrowed is:

PQRS is a rectangle. The ratio of the sides PQ and $Q R$ is $4: 3$. If the length of the diagonal $\mathrm{PR}$ is $20 \mathrm{~cm}$, then what is the area (in $\mathrm{cm}^{2}$ ) of the rectangle?

A rectangular lawn of length $30 \mathrm{~m}$ and breadth $15 \mathrm{~m}$ is to be surrounded externally by a path which is $3 \mathrm{~m}$ wide. Find the cost of making the path at the rate of Rs.20 per $\mathrm{m}^{2}$.

The simplest value $\frac{3}{4} \div \frac{5}{8} \div \frac{3}{5}$ of $\frac{5}{6}$ of $\frac{7}{10}$ is:

If $x+\frac{1}{x}=3$ and $x^{2}+\frac{1}{x^{3}}=9$ Find the value of $x^{3}+\frac{1}{x^{2}}$?

How many small solid spheres of radius $5 \mathrm{~mm}$ can be made from a solid metallic cone of base radius $21 \mathrm{~cm}$ and height of $40 \mathrm{~cm}$?