DELHI POLICE MATHS QUIZ-49

In an examination, Radha scored $20 \%$ of marks and failed by 10 marks. Seeta scored $30 \%$ of marks, which is 20 marks more than the pass mark. The total marks of the examination are:

A and B together can finish a work in 10 days, B and C together can finish the same work in 15 days, and A and C together can finish the same work in 20 days. In how many days can c alone finish the same work?

The perimeter of a rhombus is $148 \mathrm{~cm}$ and one of its diagonals is $70 \mathrm{~cm}$. Its area is equal to the area of a rectangle whose sides are in the ratio $7: 3$. The longer side of the rectangle is:

A hollow iron pipe is $14 \mathrm{~cm}$ long and its outer diameter is $6 \mathrm{~cm}$. If the thickness of the pipe is $1 \mathrm{~cm}$ and the weight of iron is $8 \mathrm{~g} / \mathrm{cm}^{3}$, then the weight of the pipe ( in $\mathrm{Kg}$) how much? Use $\left(\pi=\frac{22}{7}\right.$ )

A sum of ₹ 16,380 is divided among $A, B, C$, and $D$ such that the ratio of the shares of $A$ and $B$ is $1: 3$, that of $B$ and $C$ is $2: 5$, and that of $\mathrm{C}$ and $\mathrm{D}$ is $2: 3$. The share (in ₹ ) of $\mathrm{C}$ is:

Two positive integers differ by 1627 . When the larger integer is divided by the smaller, the quotient is 7 and the remainder is 157 . The sum of the digits of the smaller integer is:

The smallest number which when divided by 12,10 and 11 leave remainders 11,9 and 10  respectively, is

The simple interest (in ₹) on ₹ 8,000 for 6 months at the rate of 12 paise per rupee per month is:

Let x be the least number between 1400 and 1800 , which when divided by 5, 6, 8, 9 and 12 , the remainder in each case is 3 . When x is divided by 11 , the remainder is:

A train covers some part of a distance of $560 \text{ km}$ at $40 \text{ km/h}$ and the rest at $160 \text{ km/h}$ in $9$ hours and $30$ minutes. What is the total distance (in km) covered by the train at $40 \text{ km/h}$?