Latest Hexaware Aptitude Question SOLUTION: If Ax + By = 1F16; Cx + Dy = 2510 .Find the value of x and y

• Placement Papers
• /
• Hexaware

Hexaware Question Papers: HEXAWARE Company Profile

(#M40006796) HEXAWARE question puzzle Keep an EYE

If Ax + By = 1F16; Cx + Dy = 2510 .Find the value of x and y

Solution

This question is not based on decimal system yet based on hexadecimal system.
In the system associated with this question A = 10, B = 11, C = 12, D = 13, E = 14, F = 15
it means system has the numbers 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F as 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 in decimal system
so 1F16 = 1*(16^3)+15*(16^2)+1*(16^1)+6*(16^0)= 4096+3840+16+6 = 7958 and
2510 in this system = 2*(16^3)+5*(16^2)+1*(16^1)+0*(16^0) = 8192+1280+16 = 9488
solution:
Changing this question to Decimal,
10x + 11y = 7958 --> 1
12x + 13y = 9488 --> 2

eq1*12 => 120x + 132y = 95496 --> 3
eq2*10 => 120x +130y = 94880 --> 4

eq3 - eq4 => 2y = 616 => y = 308

Substituting in eq1 => 10x + 3388 = 7958 => 10x = 4570 => x = 457

Hence x = 457, y = 308 (in Decimal)

now we have to convert these numbers to hexadecimals
457 = 16*28+9
28 = 16*1+12
1 = 16*0+1 so number will be 1C9 (reverse order of reminders) similarly for other numbers
So in Hexadecimal system x = 1C9, y = 134.
This answer is given by VADIVELAN M and is correct answer

Like manish sir answer on facebook.

Asked In Hexaware mithunprasad (12 years ago)

Solved Vadivelan M Read Solution (1)

Is this Puzzle helpful?   (10)   (1) Submit Your Solution

Read Solution (1) :

Vadivelan M  (12 years ago)

x = 1C9, y = 134

Solution :

Changing it to Decimal,

10x + 11y = 7958 --> 1
12x + 13y = 9488 --> 2

1*12 => 120x + 132y = 95496 --> 3
2*10 => 120x +130y = 94880 --> 4

3 - 4 => 2y = 616 => y = 308

Substituting in 1 => 10x + 3388 = 7958 => 10x = 4570 => x = 457

Hence x = 457, y = 308 (in Decimal)

So in Hex => x = 1C9, y = 134.

Is this solution Helpfull? Yes (10) | No (2)  

Please Login to Read Solution.