Quantitative Ap...

In a \(\triangle \mathrm{PQR}, \mathrm{S}\) is a point on side \(\mathrm{PQ}\) such that \(\mathrm{PS}: \mathrm{SQ}=7: 9\) and \(\mathrm{PQ}=32 \mathrm{~cm}\). If \(\angle \mathrm{QPR}=\angle \mathrm{QRS}=45^{\circ}\), then what is the ratio of perimeter of \(\Delta \mathrm{QRS}\) and \(\triangle \mathrm{PQR} ?\)

Find the curved surface area of the cone if the radius and height are 22 units and 16 units respectively.

A trip from Mumbai to Pune takes \(4 ~\text{hours 30 minutes}\) at a speed of \(60 \mathrm{~km} / \mathrm{hr}\). How long (in \(\text{hours}\)) will it take to complete, if the speed is \(15 \mathrm{~m} / \mathrm{sec}\)?

The five alphabets are selected as A, B, C, D, E to form a word, then what is the position of the word 'CDABE', if all the words are arranged as arranged in the dictionary?

What will be the ratio between bigger digit to the smaller digit in the two digit number?

I. The largest digit is 9.

II. The sum of the digits in the number is 5 times their difference.

The compound interest on a sum of 4000 is Rs 1324. Find the rate of interest.

I. The simple interest on the same sum at the same rate is Rs. 1200

II. Compound interest is compounded every four months.

III. The sum doubles itself in 25 years at the rate of 4 % per annum.

Find the four consecutive prime numbers under 100.

Statement I. The average of middle numbers is 64.

Statement II. The average of 1st and last number is 65.

Statement III. The difference between 1st and last no. is 12.

Rajiv sold an item to Richa at a profit of \(17 \%\). Richa further sold this item to Shivani at a profit of \(9 \%\). Shivani sold the item to Chetna at a loss of \(5 \%\). Find the total profit earned on the item?

\(\sec ^{4} x-\tan ^{4} x\) is equal to?

When the price of a machine was increased by$20\%$, the number of machines sold was decreased by $25\%$. What was the percentage decrease change in the total revenue?