List of top Mathematics Questions

Let $ \alpha, \beta$ be the roots of $x^2 - x + p = 0$ and $y, \delta$ be the roots of $x^2 - 4x + q = 0$ if $ \alpha, \beta, y \delta$ are in GP, then the integer values of p and q respectively are
Let $f(x) = (1 + b^2)x^2 + 2bx + 1$ and let m(b) be the minimum value of f(x). As b varies, the range of m(b) is
I derive an annual income of Rs. 688.25 from Rs. 10,000 invested partly at 8% p.a. and partly at 5% p.a. simple interest. How much of my money is invested at 5%?
A worker is paid Rs. 56 for 35 hour week. Upto 40 hours, he is paid at the normal rate and on overtime, 1.5 times the normal. How many hours did he work to get Rs. 88?
X is what percent of \(\frac{4}{5}th\) of X?
The distance of the point $'\theta'$ on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ from a focus is
Cube root of 658503 is
A bought 4 bottles of beer and B bought one bottle of lager, lager per bottle costing twice that of the beer. C bought nothing but paid Rs. 50 for his share of the drink which they mixed together and shared equally. If C's Rs. 50 covered his share, then what is the cost of the lager?
In a community of 175 persons, 40 read the Times, 50 read the Samachar and 100 do not read any. How many persons read both the papers ?
Two rockets approach each other, one at 42,000 mph and the other at 18,000 mph. They start 3256 miles apart. How far are they apart (in miles) 1 minute before impact?
In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students ?
If the arithmetic mean of two numbers is 5 and geometric mean is 4, then the numbers are
Square root of 117649 is
How much water must be added to 100 cc of 80% solution of boric acid to reduce it to a 50% solution?
In a G.P., the first term is 5 and the common ratio is 2. The eighth term is
What is the value of \(\frac{P + Q}{P - Q}\) if \(\frac{P}{Q} = 7\) ?
If an angle is its own complementary angle, then its measure is
A house costs C rupees. later it was sold for a profit of 25%. What is the capital gains tax if it is 50% of the profit?
A wire is in the form of a circle of radius 35 cm. If it is bent into the shape of a rhombus, what is the side of the rhombus?
In a triangle ABC, ∠A = 900 and D is mid-point of AC. The value of BC2 - BD2 is equal to
Which of the following equations has real roots?
What is the value of the following expression?
(1 + x) (1 + x2) (1 + x4) (1 + x8) (1 - x)
If the circumference and the area of a circle are numerically equal, then what is the numerical value of the diameter?
A driver's income consists of his salary and tips. During one week his tips were \(\frac{5}{4}\) of his salary. What fraction of his income came from tips?
What is missing figure in the expression given below ?
\(\frac{16}{7}×\frac{16}{7}-\frac{*}{7}×\frac{9}{7}+\frac{9}{7}×\frac{9}{7} = 1\)