JEE Questions for Maths Statistics Quiz 6 - MCQExams.com

What will be that force when applying along any inclined plane will stop 10 kilogram weight, it is given that force, reaction of plane and weight of body are in arithmetic series
  • 4 kg-wt
  • 6 kg-wt
  • 8 kg-wt
  • 7 kg-wt
Forces of magnitudes 3, P, 5, 10 and Q Newton are respectively acting along the sides AB, BC, CD, AD and the diagonal CA of a rectangle ABCD, where AB = 4 m and BC = 3 m. If the resultant is a single force along the other diagonal BD then P, Q and the resultant are

  • Maths-Statistics-50944.png
  • 2)
    Maths-Statistics-50945.png

  • Maths-Statistics-50946.png
  • None of these
The foot of a uniform ladder is on a rough horizontal ground and the top rests against a smooth vertical wall. The weight of the ladder is 400 unit. A man weighing 800 unit stands on the ladder at one quarter of its length from the bottom. If the inclination of the ladder to the horizontal is 30°, the reaction at the wall is
  • 0
  • 1200√3
  • 800√3
  • 400√3
ABC is a uniform triangular lamina with centre of gravity at G. If the portion GBC is removed, the centre of gravity of the remaining portion is at G\'. Then GG\' is equal to

  • Maths-Statistics-50949.png
  • 2)
    Maths-Statistics-50950.png

  • Maths-Statistics-50951.png

  • Maths-Statistics-50952.png

Maths-Statistics-50954.png

  • Maths-Statistics-50955.png
  • 2)
    Maths-Statistics-50956.png

  • Maths-Statistics-50957.png

  • Maths-Statistics-50958.png
A light rod AB of length 30 cm rests on two pegs 15 cm apart. At what distance from the end A the pegs should be placed so that the reaction of pegs may be equal when weight 5W and 3W are suspended from A and Brespectively
  • 1.75 cm, 15.75 cm
  • 2.75 cm, 17.75 cm
  • 3.75 cm, 18.75 cm
  • None of these
The resultant of three forces represented in magnitude and direction by the sides of a triangle ABC taken in order with BC = 5 cm, CA = 5 cm, and AB = 8 cm, is a couple of moment
  • 12 unit
  • 24 unit
  • 36 unit
  • 16 unit
Two uniform solid spheres composed of the same material and having their radii 6 cm and 3 cm respectively are firmly united. The distance of the centre of gravity of the whole body from the centre of the larger sphere is
  • 1 cm
  • 3 cm
  • 2 cm
  • 4 cm
A smooth sphere is supported in contact with a smooth vertical wall by a string fastened to a point on its surface, the other end being attached to a point in the wall. If the length of the string is equal to the radius of the sphere, the tension of the string is

  • Maths-Statistics-50963.png
  • 2)
    Maths-Statistics-50964.png

  • Maths-Statistics-50965.png
  • None of these
A rod can turn freely about one of its ends which is fixed. At the other end a horizontal force equal to half theweight of the body is acting. In the position of equilibrium, the rod is inclined to the vertical at an angle
  • 30°
  • 45°
  • 60°
  • None of these

Maths-Statistics-50968.png
  • 2 : 1
  • 3 : 4
  • 4 : 3
  • 1 : 2
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
  • 0.2 N
  • 1.4 N
  • 0.8 N
  • 1 N
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
  • 3/5 kg-wt
  • 1/5 kg-wt
  • 2/5 kg-wt
  • None of these
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
  • P = Q = R
  • P = 2Q = 2R
  • 2P = Q + 2R
  • 2P = 2Q = R
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
  • 7/5, 24/5
  • 14/5, 48/5
  • 3/5, 7/5
  • None of these
A weight of 10 N is hanged by two ropes as shown infig,. the tensions T1 and T2are
Maths-Statistics-50974.png

  • Maths-Statistics-50975.png
  • 2)
    Maths-Statistics-50976.png

  • Maths-Statistics-50977.png

  • Maths-Statistics-50978.png
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

  • Maths-Statistics-50980.png
  • 2)
    Maths-Statistics-50981.png

  • Maths-Statistics-50982.png
  • None of these
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

  • Maths-Statistics-50984.png
  • 2)
    Maths-Statistics-50985.png

  • Maths-Statistics-50986.png
  • None of these
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

  • Maths-Statistics-50988.png
  • 2)
    Maths-Statistics-50989.png

  • Maths-Statistics-50990.png
  • None of these
If Var (x) = 8.25, Var (y) = 33.96 and Cov (x, y) = 10.2, then the correlation coefficient is
  • 0.89
  • –0.98
  • 0.61
  • –0.16
When the origin is changed, then the coefficient of correlation
  • Becomes zero
  • Varies
  • Remains fixed
  • None of these
If r is the correlation coefficient between two variables, then
  • r ≥ 1
  • r ≤ 1
  • |r| ≤ 1
  • |r| ≥ 1
If r is the coefficient of correlation and Y = a + bX, then |r| =
  • a/b
  • b /a
  • 1
  • None of these

Maths-Statistics-50993.png
  • 22
  • 2
  • –2
  • None of these
Karl Pearson\'s coefficient of correlation is dependent
  • Only on the change of origin and not on the change of the scale
  • Only on the change of scale and not on the change of origin
  • On both the change of origin and the change of scale
  • Neither on the change of scale nor on the change of origin

Maths-Statistics-50995.png

  • Maths-Statistics-50996.png
  • 2)
    Maths-Statistics-50997.png

  • Maths-Statistics-50998.png

  • Maths-Statistics-50999.png

Maths-Statistics-51001.png
  • 0.2
  • 0.5
  • 0.66
  • 0.33

Maths-Statistics-51003.png
  • 0.89
  • 0.76
  • 0.91
  • 0.98
If coefficient of correlation between the variables x and y is zero, then
  • Variables x and y have no relation
  • y decreases as x increases
  • y increases as x increases
  • There may be a relation between x and y

Maths-Statistics-51005.png
  • 1
  • –1
  • 2/3
  • –2/3
0:0:1


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