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Question 164(iv)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use

$(\times 1)$ machines.

The correct representation of the set of all real numbers greater than or equal to 2 is given by

A. An old and semi-apocryphal story is routinely doing the rounds at the elections
B. The nub of the story is this: Sir Peter's association sought to dissuade him from standing on the grounds of his advanced age, reasoning that, should he die mid-term, the cash-strapped Tories of Louth would not be able to bear the cost of fighting a by-election.
C. It concerns negotiations between Sir Peter Tapsell, the 74-year old Conservative member for Louth and his constituency association, ahead of the forthcoming general election.
D. Sir Peter is said to have a written a personal cheque for the estimated 10,000 $ cost of a by election campaign
E. He posted it along with the instruction that it is cashed in the event of his death.
F. This is seen as one more instance of his wit and ability to create hype about his candidature

Q48. A = {1, 3, 5, 7, 9}

B = {0, 2, 4, 6, 8}

Two numbers are selected one each from the sets A and B. What is the probability that the sum of the numbers is 9?

Statements: Q $ W, W % E, E K

Conclusions:

a) Q $ K

b) W K

Find the remainder when 7[50k-1] is divided by 50

How many integral solutions are there for the equation A+B+C = 10 where $A\ge 1,B\ge 2,C\ge 3$?

If R gets at least two more coins than S, and then which one of the following is necessarily true?

Two circles touch each other externally at P. AB is common tangent to the circles touching them at A and B. The value of $\angle APB$ is

Simplify

(i) $3\sqrt{45}-\sqrt{125}+\sqrt{200}-\sqrt{50}$
(ii) $2\frac{\sqrt{30}}{\sqrt{6}}-3\frac{\sqrt{140}}{\sqrt{28}}+\frac{\sqrt{55}}{\sqrt{99}}$
(iii) $\sqrt{72}+\sqrt{800}-\sqrt{18}$

Q21. A certain company that sells only cars and trucks reported that revenues from car sales in 2014 were down 11 percent from 2013 and revenues from truck sales in 2014 were up 7 percent from 2013. If total revenues from car sales and truck sales in 2014 were up 1 percent from 2013, what is the ratio of revenue from car sales in 2013to revenue from truck sales in 2013?

Let X be the set of first 100 natural numbers. Sets S1 and S2 are subsets of X such that each of them has more than zero elements and no common element. If the maximum number of elements in S1 = x1, in S2 = y1 and minimum no. of elements in S1 = x2, in S2 = y2 then:
Suppose the union of sets S1 and S2 is X and S1, S2 have the same number of elements. If elements from S1 and S2 are chosen randomly, it was found that by exchanging two elements of S1 with two elements of S2, every element of S1 was greater than that of S2. Find the no. of sets S1 that can be formed.

The product "n” of three positive integers is 6 times their sum. If one of the numbers is the sum of the other two, then the sum of all possible value(s) of "n” is?

Each of the questions below is followed by two statements, labeled (1) and (2), in which certain data is given. In these questions you do not actually have to compute an answer, but rather decide whether the data given in the statements are sufficient for answering the question.

Q22. Q and P are the centres of the arcs. What is the length of ACDEB? (1) QE = 6½ cm (2) QP = DA

Statement:The largest computer manufacturing company slashed models by about 15$\%$ with immediate effect.

Assumptions:
I. The company may incur heavy losses due to reduction in prices of the desktop.
II.The sales of desktop manufactured by the company may increase substantially in the near future.

Q3. The number of ways in which a committee of 3 ladies and 4 gentlemen can be appointed to form a meeting consisting of 8 ladies and 7 gentlemen, if Mrs. X refuses to serve in a committee of which Mr. Y is a member is:

Question 54

The sum of areas of two squares with sides 4a and 4b is ___

The solution of the equation $2^{|x+2|}-|2^{x+1}-1|=2^{x+1}+1$ is

Host
$\begin{array}{cc}1]& \text{If you host the party, who will foot the bill?}\\ 2]& \text{Kerala's forests are host to a range of snakes.}\\ 3]& \text{Ranchi's will play the host to the next national film festival.}\\ 4]& \text{A virus has infected the host computer.}\end{array}$

On a certain sum, the difference between the compound interest and the simple interest for the second year is Rs.4500 and the same for the third year is Rs.14175. What is the sum?

In an election, BJP received $60\%$ of the votes and Congress received the rest. If BJP won by 24 votes, how many people voted?

Let A BCDEF be a regular hexagon with each side of length 1cm. The area (in sq cm) of a square with AC as one side is

Number of shirts bought by B

Who went to Bangalore?

Answer these questions based on the following data.
In a standard 5 class, the students are arranged according to the increasing order of their marks in an examination. The marks obtained by every student, starting from the third student, are the sum of the marks obtained by the earlier two students.

If the $3^{rd}$ student got 10 marks and $5^{th}$ student got 26 marks, then how many marks does the ${12}^{th}$ student get?

In how many of the given years were the imports more than the exports in case of company B?

Among the kids in W whose mothers had completed primary education, how many were not in school?

Arul has 16 Apples, Raghav has 32 Apples, Ramesh has 48 Apples. The number of apples they possess forms an A.P with a common difference of