UP POLICE MATHS QUIZ-17

The ratio of the incomes of X and Y is 2:3, and the ratio of their expenditures is 4:5 . If X and Y save Rs. 5,000 and Rs. 17,500, respectively, then what is the income (in Rs.) of X?

The amount of Rs.5183 is divided among Amit, Sumit and Jagat in such a way that if Rs.27, Rs.38 and Rs. 18 be deducted from their respective shares, they have money in the ratio $3: 6: 8 .$ Find Amit's share. (in Rs.)

A right circular solid cone of radius $3.2 \mathrm{~cm}$ and height $7.2 \mathrm{~cm}$ is melted by recast into a right circular cylinder of height $9.6 \mathrm{~cm}$. What is the diameter of the base of the cylinder?

A train A moving with a speed of $60 \mathrm{~km} / \mathrm{h}$, another train B coming from the opposite direction with a speed of $48 \mathrm{~km} / \mathrm{h}$ Completely crosses in 20 seconds. The length of train $B$ is $1.5$ times the length of train $A$. Train $B$ crosses a tunnel in 57 seconds. What is the length of the tunnel (in $\mathrm{m}$)?

$X$ and $Y$ can complete a certain work in 16 days and 24 days, respectively. They work together for 4 days. $Z$ alone completes the remaining work in $10 \frac{1}{2}$ days. $Y$ and $Z$ together can complete $\frac{7}{8}$ th part of the same work in:

Let x be the least number divisible by 8, 12, 30, 36 and 45 and x is also perfect square. What is the value of x?

Evaluate the following : $\frac{(14.5)^{3}+(9.5)^{3}}{(14.5)^{2}+(9.5)^{2}-(14.5) \times(9.5)}$

The price of an article was first increased by $10 \%$ and then again by $20^{\circ} \mathrm{g}$. If last increased price was ₹ 33 , the original price was -

A dealer sells an article at ₹ $403.20$, after offering a discount of $16 \%$ on its marked price. Had he not offered any discount, he would have earned a profit of $28 \%$ on the cost price of the article. What is the cost price (in ₹) of the article?

In the first 10 overs of a cricket game, the run rate was only $3.2$. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?