1
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The quadratic approximation of $$f\left( x \right) = {x^3} - 3{x^2} - 5\,\,$$ at the point $$x=0$$ is
A
$$3{x^2} - 6x - 5$$
B
$$ - 3{x^2} - 5$$
C
$$ - 3{x^2} + 6x - 5$$
D
$$3{x^2} - 5$$
2
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at end C is shown in the figure. The members may be assumed to be weightless and the lengths of the respective members are as shown in the figure. GATE CE 2016 Set 2 Engineering Mechanics - Equilibrium of Force Systems Question 7 English

Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the rope is

A
$$\frac{3\mathrm P}{\sqrt2}$$
B
$$\frac{\mathrm P}{\sqrt2}$$
C
$$\frac{3\mathrm P}8$$
D
$$\sqrt2\mathrm P$$
3
GATE CE 2016 Set 2
Numerical
+1
-0
The hardness of a ground water sample was found to be 420 mg/L as $$CaCO_3$$. A softener containing ion exchange resins was installed to reduce the total hardness to 75 mg/L as $$CaCO_3$$ before supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is .
Your input ____
4
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A sample of water has been analyzed for common ions and results are presented in the form of a bar diagram as shown. GATE CE 2016 Set 2 Environmental Engineering - Quality Control of Water Question 10 English The non-carbonate hardness (expressed in mg/L as $${\mathrm{CaCO}}_3$$) of the sample is
A
40
B
165
C
195
D
205
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