BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

The function f(x) is defined as follows

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

The function f(x) is defined as follows

by Max@Math Revolution » Tue Mar 31, 2020 1:54 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

The function f(x) is defined as follows
f(x)={x/5 , (n is a multiple of 5) x+1 , (n is not a multiple of 5)

Moreover, f(xn) = xn+1, and f(x1) = 1000. What is the value of f(x50)?

A. 1
B. 2
C. 3
D. 4
E. 5
Top
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Re: The function f(x) is defined as follows

by Max@Math Revolution » Thu Apr 02, 2020 12:15 am
=>

f(x1) = x2 = 1000
f(x2) = x3 = 1000/5 = 200
f(x3) = x4 = 200/5 = 40
f(x4) = x5 = 40/5 = 8
f(x5) = x6 = 8 + 1 = 9 (because 8 is not a multiple of 5)
f(x6) = x7 = 9 + 1 = 10
f(x7) = x8 = 10/5 = 2
f(x8) = x9 = 2 + 1 = 3
f(x9) = x10 = 3 + 1 = 4
f(x10) = x11 = 4 + 1 = 5
f(x11) = x12 = 5/5 = 1
f(x12) = x13 = 1 + 1 = 2
f(x13) = x14 = 2 + 1 = 3
f(x14) = x10 = 3 + 1 = 4
f(x15) = x11 = 4 + 1 = 5
…
f(x5k) = 5

Therefore, E is the answer.
Answer: E
Top
Post new topic Post Reply
• Page 1 of 1