SSC MTS MATHS QUIZ-21

A can do a work in $7 \frac{1}{2}$ days, whereas B can do the same work in $10 \frac{1}{2}$ days. If they worked together, then the same work would be completed in:

The incomes of $A$ and $B$ are in the ratio $6: 11$. The ratio of their expenditure is $1: 2$. If $A$ and $B$ save $R$ s. 9,000 and Rs. 11,500 , respectively, then the expenditure of $B$ is:

If $x: y: z=1: 2: 3$, then what is the value of $\left(\frac{3 x^{2}-2 y^{2}+4 z^{2}}{x^{2}+2 y^{2}+z^{2}}\right)$ ?

A train covers a distance of $275 \mathrm{~km}$ in $2 \frac{1}{2}$ hours with a uniform speed. The time taken to cover a distance of 440 $\mathrm{km}$ with the same speed is:

The average weight of 6 persons decreases by $2.5 \mathrm{~kg}$ when a new person comes in place of one of them weighing $70 \mathrm{~kg}$. What is the weight (in $\mathrm{kg}$ ) of the new person?

The curved surface area of a right circular cone is $65 \pi \mathrm{cm}^{2}$ and the radius of its base is $5 \mathrm{~cm}$. What is $40 \%$ of the volume of the cone, in $\mathrm{cm}^{3}$ ?

The value of $4 \frac{2}{5} \div\left\{\left(1 \frac{1}{2}-3 \frac{1}{5}\right) \div 3 \frac{2}{5}+\left(2 \frac{1}{5} \div 1 \frac{1}{2}+4 \frac{2}{5}\right)+\frac{1}{2}\right\}$ is:

A can do a piece of work in 60 days. He works at it for 15 days, and then B alone finishes the remaining work in 30 days. In how many days can $A$ and $B$ working together finish the same work?

By selling a fan for Rs. 2,604, there is a loss of 7%. If it is sold for Rs. 3,094, then the profit percentage is:

A sum of Rs. 17,200 is lent out at simple interest in two parts for two years at $8 \%$ and $10 \%$ p.a., respectively. If the total interest received after two years is Rs. 3,008 , then the money lent at $8 \%$ rate is: