Solution of recurrence relation
a_r - 5a_r-1 + 8a_r-2 - 4a_r-3 = 0 is

Consider the set \(S=\left\{ 1,\omega ,{ \omega }^{ 2 } \right\} \) where \(\omega \) and \({ \omega }^{ 2 }\) are cube root of unity. If  * denotes the multiplication operations, the structure {S*} forms

Which one of the first order predicate calculus statements given below, correctly expresses the following english statement?
Tiger and lions attack, if they are hungry or threatened.

The convergence of the bisection method is 

If P and Q are two random events, then which of the following is true?

The most general complex analytical function f(z)=u(x,y)+iv(x,y) for u =x²-y² is

The solution of differential equation \(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } +\left( 9x-\frac { 20 }{ { x }^{ 2 } } \right) y=0\) in terms of Bessel's function is

\(\int { \frac { dx }{ sinx+cosx } } \)is equal to

For the matrix \(\begin{bmatrix} 4 & 1 \\ 1 & 4 \end{bmatrix}\) the eigen values are

The age of the father of two children is twice that of the elder one added to four times that of the younger one. If the geometric mean of the ages of the two children is \(4\sqrt { 3 } \) and their harmonic mean is 6, then what is the father's age?

log_1/3 81 is equal to 

In a flight of 800 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/h and the time of flight increased by 20 min. The duration of the flight is

Sita takes tice as much time as Gita to complete a work and Rita does it in the same time as Sita and Gita together. If all three working together can finish the work in 6 days, then the time taken by Gita, Sita and Rita to finifh the work, is

The present worth of bill due 7 months , hence is  Rs.1200. If the bill were dure to at th eend of 2\frac{1}{2} yr, its present worth would be Rs.1016.The rate percent of bill is 

12 yr ago, the average age of  a husband and a wife was 20 yr. The average remains the same today, when they have two children. what is the present age of the youngest child, if they differ in age by 2 yr?

A shopkeeper marks his goods at 25% above the cost price. He sells \frac { 3 }{ 5 }th of his goods at marked price and remaining at 20% discount. Find his gain or loss per cent in the transaction.

15% of the people eligible to vote are between 18 and 25 yr of age. In an election, 75% of those eligible to vote. who are between 18 and 25, actually voted. In the election, the number of persons between 18 and 25, who actually voted was what percent of those eligible to vote?

Find the numbers of prime factors contained in the product of \({ 23 }^{ 11 }\times { 7 }^{ 4 }\times { 3 }^{ 5 }\)

A question contains four arguments of three statements each. Choose the set in which  third statement  is a logical  conclusion of the first two.
If T has juice today, N will have Horlicks.
A.  T is drinking  juice.
B. N is drinking tea.
C. T is not drinking juice.
D.  N is drinking Horlicks.

Answer the questions below based on the following information.
Each of seven objects T, U, V, W, X, Y and Z is placed either on the tower, middle or top shelf of the three-shelf bookcase that contains no other objects.
(i) At least two objects are on the top shelf.
(ii) No more than four objects are on any shelf.
(iii) T and U are on different shelves.
(iv) V is either on one shelf or two shelves above the shelf that X is on.
(v) W is either on one shelf or two shelves above the shelf that X is on.
If V and T are the only objects on one of the shelves, which of the following must be true?

Five men and one woman, named Pratibha including a Geologist, were recently invited as experts to an Internation conference held at Dubai on the state of Global Warming. Read the following statements carefully to answer the question.
(1) Kamal debated Lala and the Meteorologist at the beginning of the conference.
(2) Pratibha is not the Physicist.
(3) Manav is not an Urban planner.
(4) Jay is neither the Metrologist.
(5) At the end of the conference, the six experts had a general discussion around a table. The debaters were the Physicist, Kamal, Jay, the zoologist, the male urban planner and Prakash.
What is the profession of the only female member in the group?

The sum of ages of a father and son is 45 yr. 5 yr ago the product of their ages was 4 times the father's age at that time. The present age of the father and son, respectively are

Select the pair of Words, Which exhibits the same relationship between each other as the given pair of words
Agnostic : believer :: Agreement :

Choose the most appropriate option to fill in the blank.
We need to help each other to survive. It is only through such ...... cooperation that difficullties can be overcome.

Tick the word that is not a synonym of the given word.
Transfix

Comparing the time T₁ taken for a single instruction on a pipelined CPU with time T₂ taken on a non-pipelined but identical CPU, we can say that

The five aggregation operators in SQL are

HTML tags define

A subnet mask in class A have ........1's with the remaining bits 0's

One fault may lead to