Question
Question: If y = 3[x] + 1 = 4[x – 1] – 10, where [.] denotes the greatest integer function, then [x + 2y] is e...
If y = 3[x] + 1 = 4[x – 1] – 10, where [.] denotes the greatest integer function, then [x + 2y] is equal to
A
76
B
61
C
107
D
67
Answer
107
Explanation
Solution
y = 3[x] +1 = 4[x - 1] – 10 = 4[x] – 14
⇒ [x]= 15 and y = 3.15 + 1 = 46
⇒ [x + 2y] = 2y+[x] = 2.46+15= 107