UP SI MATHS QUIZ-31

A car travels a distance of $x \mathrm{~km}$ at a speed of $5 \frac{5}{9} \mathrm{~m} / \mathrm{sec}$ and returns at $5 \mathrm{~m} / \mathrm{sec}$ to the starting point. If the total time taken by the car is $7 \frac{3}{5}$ hours then the value of $x$ (in km) is: 

The value of $\left(4 \frac{1}{5}-3 \frac{1}{10}\right.$ of $\left.1 \frac{1}{7}\right) \div\left(6 \frac{1}{3}-3 \frac{1}{5}\right.$ of $\left.1 \frac{1}{2}\right)$ is:

When 3820, 4672 and 6163 are divided by the greatest number X, the remainder in each case is the same, what is the remainder when 1035  is divided by X?

The population of a town is 31,25,000. It increases by 12% during the first decade. During the second decade, it decreases by 14% and increased by 16% during the third decade. What is the population at the end of the three decades?

In a 20 over match, the required run rate to win is $7.2$. If the run rate is 6 at the end of the 15th over, the required run rate to win the match is

A vendor bought 25 dozen fruits for ₹ 3,750. Out of these, 50 fruits were rotten and therefore thrown away. At what rate per dozen (in ₹) should he sell the remaining to gain 20% in the entire transaction?

The price of petrol is Rs 70 per litre and the price of spirit is Rs 30 per litre. In what ratio the petrol and spirit be mixed such that the profit after selling the mixture at Rs. 75 per litre be $25 \%$ ?

A and B enter into a partnership with capital in the ratio $3: 5$. After 5 months A adds $50 \%$ of his capital, while B withdraws $60 \%$ of his capital what is the share (in lakhs) of $\mathrm{A}$ in annual profit of Rs. $6.84$ lakhs?

The diameter of a roller is $84 \mathrm{~cm}$ and its length is $120 \mathrm{~cm}$. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in $m^{2}$ ? [Assume $\pi=\frac{22}{7}$ ]