1
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
Let x1, x2,........., xn be n observations, and let $$\overline x $$ be their arithematic mean and $${\sigma ^2}$$ be their variance.

Statement 1 : Variance of 2x1, 2x2,......., 2xn is 4$${\sigma ^2}$$.
Statement 2 : : Arithmetic mean of 2x1, 2x2,......, 2xn is 4$$\overline x $$.
A
Statement 1 is false, statement 2 is true
B
Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
C
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
D
Statement 1 is true, statement 2 is false
2
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can be formed such that Y $$ \subseteq $$ X, Z $$ \subseteq $$ X and Y $$ \cap $$ Z is empty, is :
A
35
B
25
C
53
D
52
3
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
Change Language
Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is
A
6 %
B
zero
C
1 %
D
3 %
4
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
Change Language
A spectrometer gives the following reading when used to measure the angle of a prism.
Main scale reading: 58.5 degree
Vernier scale reading : 09 divisions
Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data
A
58.59 degree
B
58.77 degree
C
58.65 degree
D
59 degree
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