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If I add 65 grams of calcium chloride to 500 grams of water, what will the boiling



points be of the resulting solution? Kb = 0.512 °C.

Happy Numbers: A number is called a happy number, if you start with the given number

and arrive at 1 by repeating the following process (as illustrated in the below example):

(a) compute the sum of the squares of given number digits

(b) if the resultant value is 1, then the number is happy number, else execute point (a) for

the newly produced number.

Note that if a number is not a happy number, there will be an endless loop to this execution.

Goal: In this question, you are required to write a recursive function that checks whether

the number entered by the user is a happy number or not for 10 cycles/iterations only. The

output shown in blue colour should be shown by the function and text in yellow colour

should be displayed by the main function.


Write a C++ program in which write a function convert() that converts a decimal number to a binary, octal, and

hexadecimal equivalents. The function will take two arguments: first argument will be

the number to be converted and second argument will be the base in which this number

is to be converted. Function should return the converted value. You may use strings to

represent converted numbers like “0x3A”, “00101100”, “72” etc.

b. Call convert() function in the main program to produce the following output. It is same

as you made in the previous assignment.

Example output:

Enter upper limit = 20

Enter lower limit = 30

Please enter a value of lower limit between 0 and the upper limit and try again.

Enter lower limit again = 10

............................................................................

Decimal Binary Octal Hexadecimal



Wite a C++ function. A college offers a course that prepares students for the state licensing exam for real estate brokers.

Last year, ten of the students who completed this course took the exam. The college wants to know

how well its students did on the exam. You have been asked to write a program to summarize the

results. You have been given a list of these 10 students. Next to each name is written a 1 if the

student passed the exam or a 2 if the student failed.

Your program should analyze the results of the exam as follows:

Input each test result (i.e., a 1 or a 2). Display the prompting message "Enter result" each time the

program requests another test result.

Count the number of test results of each type.

Display a summary of the test results indicating the number of students who passed and the

number who failed.

If more than eight students passed the exam, print the message "Raise tuition."


Q.3 A block of wood A of mass 10 kg is held on a rough horizontal table. An elastic string

connected to the block passes over a smooth pulley at the end of the table and then under a second smooth pulley carrying a body B of mass 5 kg as shown in Fig

The other end of the string is fixed to a point above the second pulley. When the 10 kg block is released, it moves with an acceleration of g/9. Determine the value of coefficient of friction between the block and the table.


https://imgur.com/a/4oSOLx2 (figure's image link)


Steep safety ramps are built beside mountain highways to enable vehicles with defective brakes to stop safely. A truck enters a 250-m ramp at a high speed v0, and travels 180 m in 6 s at constant deceleration before its speed is reduced to v0/2. Assuming the same constant deceleration, determine (a) the additional time required for the truck to stop, (b) the additional distance traveled by the truck.



A hydraulic cylinder has a 1 meter stroke. It lifts a 100kg weight in 2 seconds. What is the average power used by the cylinder to perform this work?


Qd(=50-8P) and Qs(=17.5+10P)


find 'f(t) by definition if f(t)=4t^2 + t also find tangent at t=2

Write a program to overload operators in the same program by writing suitable operator member functions for following set of expressions: O5= (O1/O2) *(O3+O4) [Here O1,O2,O3,O4 and O5 are objects of a class “overloading”, and this class is having one integer data member] 


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