List of top Mathematics Questions

The value of \(\frac{1}{\log_3{60}} + \frac{1}{\log_4{60}} + \frac{1}{\log_5{60}}\) is

For any natural number n, \(9^n\) cannot end with which one of the following digits?

The average of nine consecutive natural numbers is 25. Find the smallest number.

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:

The signal flow diagram shown represents a feedback system subjected to a disturbance W (s). The transfer function relating output y(s) to w(s) with reference [R (s)= 0], is:-

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?

The resultant vector of the cross product of the two vectors\( î+2j-k; 2i+j+k\) is

The product of two numbers is 4840. If the first number is two fifth of the second number, then what is the first number?

The sum of two numbers is 40 and their HCF is 8. How many pairs of numbers satisfy both the conditions?

In regression analysis independent variable is also called as

In what time will a 640 m long train cross an electric pole if its speed is 96 km/h?

Simplify: \(\frac {\frac 34+\frac 15-\frac {1}{10}-1}{\frac 18+\frac 12-\frac 34}\)

Match List-I and List-II

LIST I		LIST II
A.	Singular Matrix	I.	Determinant is always one.
B.	Real Symmetric Matrix	II.	Digonal element are necessarily either purely imaginary or zero
C.	Skew-Hermitian Matrix	III.	Eigen values are always Real
D.	Orthogonal Matrix	IV.	Determinant is always zero

Choose the correct answer from the options given below:

The base of hexadecimal system is

If X=[a_ij], i≥1, j≤n, with a_ij=i·j
Then number of linearly independent Rows are:

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.

Value of \(\int_c\frac{2z+1}{z^2+z}dz\), where C is\(|z|=\frac{1}{2}\), 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:

Ram and Mohan can do a piece of work in 20 days. Mohan alone can do the work in 30 days. In how many days will Ram alone complete the work.

If mean of 7, 2, 9, 4 and K is 5, then find the median of 12, 6, K, 9, 15

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?

Solution A Contains 12% water and the remaining is milk. Solution B contains 30% water and the remaining is milk. In what ratio should solutions A and B be mixed to obtain a mixture with 84% milk?

In the figure, ∠AOC = 42° and PQ is perpendicular to CD. Find the value of x.

The value of \(\frac {1+tan^2θ}{1+cot^2θ} \times (1-sin^2θ)\) is

Two numbers are 26% and 40% respectively of a third number what percentage is the first number of the second number?