Quantitative Ap...

Which is correct option for given quadratic equation \(x^2\left(a^2-b^2\right)+2 x(a c+b d)+\left(c^2-d^2\right)\)?

The angle between the lines \(\beta x+y+9=0, y-3 x=4\) is \(45^{\circ}\), then the value of \(\beta\) is:

This year, the cost of a Tomato increased by 20% over that of the last year. Last year a Tomato costed Rs.10 and a Potato costed Rs.5. This year it costs Rs.11 more to buy 5 Potato and 3 Tomato. Find the percentage increase in the price of the Potato.

A man purchased 150 t-shirts, each costing the same, but \(40 \%\) of them are lost in transit which cannot be recovered. He sold \(50 \%\) of the remaining at \(20 \%\) profit each and remaining at \(5 \%\) loss each. If the total selling price of t-shirts is Rs. 7740 , then what was the cost price of each tshirts?

Find the value of \(x+y+z\), if \(x+y+x y=3, y+z+y z=8\) and \(x+z+x z=\) \(15 .\)

Kuldeep decides to improve his running by running around a circular playground on daily basis. On the first day of the month, he completed one round of the playground at a speed of 10 km/hr in 6 minutes. And on the last day of the month, he completed one round of the playground in 4 minutes. How much in (m/s) Kuldeep improved upon his speed in one month?

Divide Rs. 1301 between \(A\) and \(B\), so that amount of \(A\) after 7 years is equal to the amount of \(B\) after 9 years at \(4 \%\) per annum compounded annually. What was the sum of \(A\) and \(B\) initially?

A can do \(20 \%\) of a work in 4 days. B can do \(33.33 \%\) work in 10 days. They worked together for 9 days. \(C\) complete the remaining work in 6 days. B and \(C\) together will complete \(75 \%\) of the same work in how many days?

Find the range of the function \(f(x)=\sqrt{20-x^2}\).

If \(\log _a(a b)=x\), then \(\log _b(a b)\) is: