1
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following equations is a correct identity for arbitrary $$3 \times 3$$ real matrices $$P,Q$$ and $$R$$?
A
$$P(Q+R)=PQ+RP$$
B
$${\left( {P - Q} \right)^2} = {P^2} - 2PQ + {Q^2}$$
C
$$\det \,\,\left( {P + Q} \right) = \det \,P + \det \,Q$$
D
$${\left( {P + Q} \right)^2} = {P^2} + PQ + QP + {Q^2}$$
2
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
The value of the integral $$\int\limits_0^2 {{{{{\left( {x - 1} \right)}^2}\sin \left( {x - 1} \right)} \over {{{\left( {x - 1} \right)}^2} + \cos \left( {x - 1} \right)}}dx} $$ is
A
$$3$$
B
$$0$$
C
$$-1$$
D
$$-2$$
3
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+2
-0.6
The value of the integral $$\,\int\limits_0^2 {\int\limits_0^x {{e^{x + y}}\,\,dy} } $$ $$dx$$ is
A
$${1 \over 2}\left( {e - 1} \right)$$
B
$${1 \over 2}{\left( {{e^2} - 1} \right)^2}$$
C
$${1 \over 2}\left( {{e^2} - e} \right)$$
D
$${1 \over 2}{\left( {e - {1 \over e}} \right)^2}$$
4
GATE ME 2014 Set 4
Numerical
+1
-0
A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution with a mean of Rs. $$500$$ and a standard deviation of Rs. $$50.$$ The percentage of savings account holders, who maintain an average daily balance more than Rs. $$500$$ is
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