Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If [x] stands for the greatest integer less or equal to x, then in order than the set of equations
x – 3y = 4 ; 5x + y = 2 ; [2 π ]x – [e]y = [2a] may be consistent, then ‘a’ should lie in -
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
On solving x – 3y = 4 and 5x + y = 2, we get x = 
, y = – 
. As [2 π ] = 6 and (e) = 2. So that the three equations are
consistence if [2 π ]. 
+ [e] 
= [2a] or [2a] = 6
This gives 6 ≤ 2a < 7 or 3 ≤ a < 
.
Hence is correct answer.
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