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Question 1:

The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403 . If one of the numbers is 93 , then the other number is.

Question 2:

$85 \%$ of $900+\sqrt{225}-14 \times 6=?$

Question 3:

A trader sells his goods at a discount of $20 \%$. He still makes a profit $25 \%$ If he sales the goods at the marked price only. His profit will be:

Question 4:

In an exam, the average marks of 20 students is 70 . Afterwards, it is found that the marks of 2 students are taken wrong as 54 and 74 instead of 64 and 84 . Find the correct average.

Question 5:

Two trains of different length cross a tree in $20 \mathrm{sec}$ and $28 \mathrm{sec}$ respectively. But they cross each other travelling in opposite direction in $23 \mathrm{sec}$. Find the ratio of their speed.

Question 6:

A, B and C can do a work in 8, 12 and 18 days. They started to work together but $C$ left after 4 days. B left 4 days before the completion of work. In what time is the work finished?

Question 7:

If ₹$ 10000$ is invested at $20 \%$ per annum, compounded half yearly, then the amount after 18 months will be-

Question 8:

The circumference of the base of a cylinder is $88 \mathrm{~cm}$ and its height is $15 \mathrm{~cm}$. Find its curved surface area and total surface area.

Question 9:

In $\triangle A B C$, the sides $\mathrm{AB}$ and $\mathrm{AC}$ are produced to $\mathrm{P}$ and $\mathrm{Q}$, respectively. The bisectors of $\angle \mathrm{PBC}$ and $\angle \mathrm{QCB}$ intersect at a point $\mathrm{O}$. If $\angle \mathrm{A}=56^{\circ}$, then $\angle \mathrm{BOC}$ equals:

Question 10:

If $\sin 17^{\circ}=\frac{x}{y}$ , then the value of $\left(\sec 17^{\circ}-\sin 73^{\circ}\right)$ is :