Question 157

For all non-negative integers x and y, f(x, y) is defined as below:

f(0, y) = y + 1

f(x + 1, 0) = f(x, 1)

f(x+ 1, y+ 1)= f(x, f(x+ 1, y))

Then, what is the value of f(1,2)?

Solution

For f(1,2). First consider x=0 and y=1 and use 3rd given equation, we get f(0,f(1,1)) now for f(1,1) take x=0 and y=0 we get f(0,f(1,0)), for f(1,0) which we use 2nd equation we get f(0,1) whose value is 2. So we have f(0,f(1,0))= f(0,2) whose value is 3 then put this in f(0,f(1,1)) we get f(0,3) we get as 4

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
35+ CAT previous papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Quadratic Equations Questions CAT Inequalities Questions CAT Averages Questions CAT Linear Equations Questions CAT Percentages Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based DI Questions CAT Table with Missing values Questions CAT Selection With Condition Questions CAT Charts Questions CAT Routes And Networks Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Reading Comprehension Questions CAT Verbal Ability Questions CAT Critical Reasoning Questions CAT Odd One Out Questions CAT Vocabulary Questions

CAT 2000 QA Question

For all non-negative integers x and y, f(x, y) is defined as below: f(0, y) = y + 1 f(x + 1, 0) = f(x, 1) f(x+ 1, y+ 1)= f(x, f(x+ 1, y)) Then, what is the value of f(1,2)?

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free Quant Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account

For all non-negative integers x and y, f(x, y) is defined as below:

f(0, y) = y + 1

f(x + 1, 0) = f(x, 1)

f(x+ 1, y+ 1)= f(x, f(x+ 1, y))

Then, what is the value of f(1,2)?