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Home
Statistics Test - 20
Statistics Test - 20
Result
Statistics Test - 20
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
A horizontal rod AB is suspended at its ends by two vertical strings. The rod is of length 0.6m and weights 3 Newton. Its centre of gravity G is at a distance 0.4 m from A. Then the tension of the string at A is
Correct
Wrong
Skipped
A
0.2 N
Correct
Wrong
Skipped
B
1.4 N
Correct
Wrong
Skipped
C
0.8 N
Correct
Wrong
Skipped
D
1 N
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Solutions
Question
2/10
4 / -1
A uniform rod BC of length 6 cm and weight 2 kg can turn freely about the fixed point B. The rod is attached to the point A by a string AC of length 8 cm. The points A and B are in a horizontal line at a distance 10 cm. The tension in the string is
Correct
Wrong
Skipped
A
3/5 kg-wt
Correct
Wrong
Skipped
B
1/5 kg-wt
Correct
Wrong
Skipped
C
2/5 kg-wt
Correct
Wrong
Skipped
D
None of these
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Solutions
Question
3/10
4 / -1
Three forces P, Q and R act along the sides BC, AC and BA of an equilateral triangle ABC. If their resultant is a force parallel to BC through the centroid of the triangle ABC, then
Correct
Wrong
Skipped
A
P = Q = R
Correct
Wrong
Skipped
B
P = 2Q = 2R
Correct
Wrong
Skipped
C
2P = Q + 2R
Correct
Wrong
Skipped
D
2P = 2Q = R
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Solutions
Question
4/10
4 / -1
A body of mass 10 kg is suspended by two strings 7 cm and 24 cm long, their other ends being fastened to the extremities of a rod of length 25 cm. If the rod be so held that the body hangs immediately below its middle point, then the tension of the strings in kg-wt are
Correct
Wrong
Skipped
A
7/5, 24/5
Correct
Wrong
Skipped
B
14/5, 48/5
Correct
Wrong
Skipped
C
3/5, 7/5
Correct
Wrong
Skipped
D
None of these
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Solutions
Question
5/10
4 / -1
A weight of 10 N is hanged by two ropes as shown infig,. the tensions T
1
and T
2
are
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
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Solutions
Question
6/10
4 / -1
A ladder 20 ft long is resting against a smooth vertical wall at an angle of 30° with it. Its foot lies on a rough ground with coefficient of friction 0.3. If the weight of the ladder is 30 kg, then a man of 60 kg weight can climb on the ladder upto the height of
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
None of these
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Solutions
Question
7/10
4 / -1
A uniform rod of length 2l and weight W is lying across two pegs on the same level \'a\' ft apart. If neither peg can bear a pressure greater than P, then the greatest length of the rod which may be projected beyond either peg is
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
None of these
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Solutions
Question
8/10
4 / -1
A heavy rod ACDB, where AC = a and DB = b rests horizontally upon two smooth pegs C and D. If a load P were applied at A, it would just disturb the equilibrium. Similar would do the load Q applied to B. If CD = c, then the weight of the rod is
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
None of these
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Solutions
Question
9/10
4 / -1
If Var (x) = 8.25, Var (y) = 33.96 and Cov (x, y) = 10.2, then the correlation coefficient is
Correct
Wrong
Skipped
A
0.89
Correct
Wrong
Skipped
B
–0.98
Correct
Wrong
Skipped
C
0.61
Correct
Wrong
Skipped
D
–0.16
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Solutions
Question
10/10
4 / -1
When the origin is changed, then the coefficient of correlation
Correct
Wrong
Skipped
A
Becomes zero
Correct
Wrong
Skipped
B
Varies
Correct
Wrong
Skipped
C
Remains fixed
Correct
Wrong
Skipped
D
None of these
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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