List of top Mathematics Questions

A quadrilateral ABCD has diagonal AC of length 28 cm. If the perpendiculars drawn from vertices B and D to AC are 30 cm and 21 cm respectively, then find its area.
Which of the following is the set of those elements which are common in both A and B?
If A = {2, 3, 6} and B = {2, 3, 4, 5, 6} are two sets, then
(A) A⊂B
(B) AUB=B
(C) A∩B=Φ
(D) A∩B= A
Choose the correct answer from the options given below:
A man invests some money partly in 8% stock at 105 and partly in 12%, stock at 90. In what ratio should he invest the money to have equal dividends?
\(f_{x,y}(x,y)=\begin{cases}   (x+y)       & \quad  0\le x\le 1,0\le y\le 1 \\     0  & \quad \text{otherwise }   \end{cases}\)
The Probability \(P(x+y\le1)\) is:
The average age of a boy and a girl is 30 years. The ratio of their ages is 5:7. Ages of the boy and girl respectively:
The sum of two numbers is 40 and their HCF is 8. How many pairs of numbers satisfy both the conditions?
Two numbers are 26% and 40% respectively of a third number what percentage is the first number of the second number?
Given below are two statements:
Statement I: Line of regression of y on x is the line which gives the best estimate for the value of y for any specified value of x. 
Statement II: Line of regression of x on y is the line which gives the best estimate for the value of x for any specified value of y. 
In the light of the above statements, choose the correct answer from the options given below:
In regression analysis independent variable is also called as
See the adjacent figure and find the value of ∠A in the semicircle
See the adjacent figure and find the value of ∠A in the semicircle
Three boys A, B and C are running with speeds 40 m/s, 2500 m/minute and 144 km/h respectively, then
(1) A and C have same speed which is less than the speed of B
(2) Speed of B is the highest
(3) Speed of C is more than the speed of B
(4) All the boys A, B, and C have equal speeds
Choose the correct answer from the options given below:
If mean of 7, 2, 9, 4 and K is 5, then find the median of 12, 6, K, 9, 15
A certain sum of money on simple interest amounts to 1,278 in 3 years and to 1,593 in \(5\frac 12\) years. Find the rate of interest per annum.
Simplify: \(\frac {\frac 34+\frac 15-\frac {1}{10}-1}{\frac 18+\frac 12-\frac 34}\)
The average of nine consecutive natural numbers is 25. Find the smallest number.
In the figure, ∠AOC = 42° and PQ is perpendicular to CD. Find the value of x.
In the figure ∠AOC = 42° and PQ is perpendicular to CD
Value of \(\int_c\frac{2z+1}{z^2+z}dz\), where C is\(|z|=\frac{1}{2}\), is:
Find the sum of the fourth proportional of 60, 24, 15 and the mean proportional of 5 and 20.
In what time will a 640 m long train cross an electric pole if its speed is 96 km/h?
The resultant vector of the cross product of the two vectors\( î+2j-k; 2i+j+k\) is
The value of \(\frac {1+tan^2θ}{1+cot^2θ} \times (1-sin^2θ)\) is
If X=[aij], i≥1, j≤n, with aij=i·j
Then number of linearly independent Rows are:
Pipes A and B can fill a tank in 25 hours and 10 hours respectively. Pipe A was opened and after half an hour pipe B was also opened. In how much time the tank got filled?
The product of two numbers is 4840. If the first number is two fifth of the second number, then what is the first number?