List of top Mathematics Questions

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

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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
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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?

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

See the adjacent figure and find the value of ∠A in the semicircle

In regression analysis independent variable is also called as

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:

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?

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.

Find the sum of the fourth proportional of 60, 24, 15 and the mean proportional of 5 and 20.

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

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

A trader sold an article at a gain of 20% Had he purchased it for 40% more and sold for 24 less, he would have incurred a loss of 20%. What is the cost price of the article?

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

The base of hexadecimal system is

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

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.

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

In the equation \(y_i = β_0+β_1.X_1+ε_1, \ β_0\) stands for

In what ratio must a grocer mix tea leaves costing Rs.600/kg and rs.650/kg. So that by selling the mixture at Rs.682/kg, he gains 10%?

If sec 5 A = Cosec A, then the value of A is

Which one of the following is more useful and effective for a quick visualization of a limited amount of information?

Read the given statements about correlation carefully and identify the correct statements.
A. A positive relation means that the variables vary in the same direction.
B. If two or more variables are related in a statistical way, is sufficient to conclude that a cause and effect relation exists.
C. A negative relation means that the two variables vary in the opposite direction.
D. Pearson's Product-Moment Method is a method used to calculate r.
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