CE GATE 2013 - Online Test

Q1. If |4x − 7| = 5 then the value of 2 |x| − |−x| is
Answer : Option B
Explaination / Solution:

|4x − 7| = 5; 4x − 7 = 5 or 4x − 7 = −5 ⇒ x = 3 or 0.5
2 |x| − |−x| = 2×3-3= 3 or 2 |x| − |−x| = 2×1/2-1/2 = 1/2

Q2. 2D stress at a point is given by a matrix,  MPa. The maximum shear stress in MPa is
Answer : Option A
Explaination / Solution:



Q3. The value of 
Answer : Option B
Explaination / Solution:



Q4. x and y are two positive real numbers, such that equation 2x + y ≤ 6; x + 2y ≤ 8 For which values of (x, y), the function f (x, y) = 3x + 6y will give maximum value
Answer : Option A
Explaination / Solution:

2x + y ≤ 6; x + 2y ≤ 8 x ≤ 1.33; y ≤ 3.33; ∴ option(B) and (C) is rejected becuase x >1.33 Option (D) is rejected x >10 / 3