a$)$ Rewrite the following code after correcting the errors. #include #include int Main $()\{$ Float n$\_,$ m $=5$; scanf$("\%$d$",$ n$\_)$ float p $=($n$\_\%$m$)/$sqrt$(6$; printf$("\%$d$",$ P$)$; $\}[2]$ b$)$ Identify the invalid variable names from the following. Mention the reasons that make them invalid. $\_$Num$1,1$time, $VALUE, $$myValue$,$ num$6,$ first$\_$name, last$-$name, f$1$x $[2]$ c$)$ Compute the values of the variables a$,$ b$,$ c$,$ and d$.$ int a $=10\mathrm{.}0/3*10$; float b $=($int$)23\mathrm{.}0\%11$; int c $=(10>9$ && $21<=19)*5$; float d $=7/2$; $[2]2$ a$)$ Find the outputs when the input values of variable b are $4,5,10$ and $12,$ respectively. int b; scanf$(\%$d$,$ &b$)$; printf$($Begin

$)$; if $($b$>=5)$ printf$($UIU

$)$; else if$($b$<=5)$ printf$($CSE

$)$; else if $(($b$>=2)||($b$<10))$ printf$($COMPUTER

$)$; else if $(($b$>2)$&&$($b$<=10))$ printf$($NICE

$)$; else printf$($Bye

$)$; printf$($End$)$; $[2]$ b$)$ In a factory there are three categories of employees: X$,$ Y$,$ Z$.$ The manager announced a bonus for the employees who have $12$ years or more work experience and more than $5$ family members, OR $$ Less than $1000\mathrm{.}50$ BDT total family income per month He is also generous to his bonus deprived employees who have a larger family. Thus, He has declared the bonus for $$ For the employees of $$Y$$ and $$Z$$ categories who have more than $8$ family members and has less than $1100\mathrm{.}78$ BDT total family income per month. $$ However, if an employee is from $$X$$ category, he can avail the bonus having more than $6$ family members. Now you need to automate the system by writing a program to take following inputs from user $($employee$)$ and notify him whether he is eligible for the bonus or not. $$ Category $($character$)$ Years of work experience $($integer$)$ Number of family members $($integer$)$ Total family income per month $($float$)[4]$ United International University $($UIU$)$ Dept. of Computer Science & Engineering $($CSE$)$ Page $2$ of $23$ a$)$ Manually trace $($show the values of all the variables in each step$)$ the following code segment. int n $=5,$ sum $=0,$ i$,$ a $=3,$ sign $=1$; for$($i $=1$; i$<=$n; i$++)\{$ sum $=$ sum $+$ a$*$sign; if$($i$\%2==0)$ a $=$ a $+6$; else a $=$ a $+4$; sign $=-$sign; $\}$ printf$("$

$\%$d$",$ sum$)$; $[3]$ b$)$ Write a program to determine whether a number is a deficient number or not. A number is deficient if the summation of its factors is less than double of the number. For example, $15$ is a deficient number as the sum of its factors $(1+3+5+15=24)$ is less than $30($double of $15).$ On the other hand, $24$ is not a deficient number. Because the sum of the factors of $24(1,2,3,4,6,8,12,24)$ is $60$ which is larger than double of $24.[3]4$ a$)$ Show the manual tracing $($show the values of all the variables and array elements in each step$)$ for the following code segment int F$[6]=\{0\}$; int i; F$[0]=1$; F$[1]=1$; for$($i$=2$; i$<=5$; i$++)\{$ F$[$i$]=$F$[$i$-1]+$F$[$i$-2]$; printf$(\%$d $\%$d $\%$d

$,$ F$[$i$-2],$ F$[$i$-1],$ F$[$i$])$; $\}$ printf$(\%$d $\%$d $\%$d$,$ F$[$i$-2],$ F$[$i$-1],$ F$[$i$-1]+$F$[$i$-2])$; $[2]$ b$)$ Write a Program that will take n integer numbers into an array, and then find the maximum minimum among them with the index positions. Sample input Sample output $512345$ Max: $5,$ Index: $4$ Min: $1,$ Index: $06283901$ Max: $9,$ Index: $3$ Min: $0,$ Index: $4[4]5$ a$)$ Draw a flowchart that always displays the following menu. It also takes a choice from the user and handle according to the menu. Enter $1,$ to display $$SPL is fun!$$ Enter $2,$ to display $($On campus$)$ University life is the Best!$$ Enter q$,$ to quit. $[2]$ b$)$ Write a C program that takes an integer value n$,$ and draw the pattern below. Sample input, n Sample output $3$ x x x x x $5$ x x x x x x x x x $[4].$solve it c language