List of practice Questions

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?

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.

Akhil is two times as efficient as Vinod and Kamal is three time as efficient as Vinod. They worked together and received ₹ 5,700 for doing the work. Find the share of Kamal in the money received.

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?

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:

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?

A dealer marked an item with cost price Rs.600 at 50% above the cost price and offered 20% discount. Find the selling price.

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

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:

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

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?

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.

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:

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

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:-

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

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:

\(f_{x,y}(x,y)=\begin{cases}   (x+y)       & \quad  0\le x\le 1,0\le y\le 1 \\     0  & \quad \text{otherwise }   \end{cases}\)
The Probability \(P(x+y\le1)\) is:

Pankaj Advani is associated with which sports?

Match List I with List II:

List I		List II
(A)	Vishakhapatnam Port	(I)	Is a natural harbour situated at the head of queen of Arabian sea.
(B)	Paradwip Port	(II)	Is a land locked harbour.
(C)	Kandla Port	(III)	Has deepest harbour and is situated in Mahanadi delta.
(D)	Kochchi Port	(IV)	Situated at the head of Gulf of Kuchchh.

Choose the correct answer from the options given below:

Match List I with List II:

List I		List II
(A)	Speedy increase in the milk production	(I)	Green Revolution
(B)	Increase in oil-seeds production	(II)	White Revolution
(C)	Increase in the fish production	(III)	Yellow Revolution
(D)	Increase in agricultural production by use of technology	(IV)	Blue Revolution

Choose the correct answer from the options given below:

Given below are two statements:
Statement I : Konkan Railway is a 760 km long rail route which connects Roha in Maharashtra to Mangalore in Karnataka.
Statement II : The state of Maharashtra, Karnataka, Gujrat and Tamil Nadu are partners in the above undertaking.
In the light of the above statements, choose the correct answer from the options given below:

The most expensive Indian painting sold in 1961 was painted by: