• ( 1 ) A beam 9 m long, 40 cm wide and 20 cm high is made up of iron which weighs 50 kg per cubic metre. The weight of the beam is.

    • 1) 56 kg
    • 2) 36 kg
    • 3) 48 kg
    • 4) 27 kg
    • Discussion in forum
      Answer : 2) 36 kg
      Solution : Volume = 9 * 40/100 * 20/100 = 18/25
      weight = 18/25 *50 = 36








      discussion


      Answer : 2) 36 kg

    • ( 2 ) A cylindrical tub of radius 12 cm contains water upto a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. The radius of the ball is :

    • 1) 7 cm
    • 2) 8.5 cm
    • 3) 9 cm
    • 4) 9.5 cm
    • Discussion in forum
      Answer : 3) 9 cm
      Solution : Let the radius of the ball be r cm.
      Volume of ball = Volume of water displaced by it.
      4/3 πr3 = π * 12 * 12 * 6.75
      => r3 = 9 * 9 * 9
      => r = 9 cm.








      discussion


      Answer : 3) 9 cm

    • ( 3 ) A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is

    • 1) 10√ 2 m
    • 2) 100 m
    • 3) 100√ 2 m
    • 4) 200 m
    • Discussion in forum
      Answer : 4) 200 m
      Solution : Let the altitude of the triangle be h and base of each be b.
      Then , (1/2) * b * h1 where h2 = 100 m.
      = h1 = 2h2
      = ( 2 * 100) m
      = 200 m.








      discussion


      Answer : 4) 200 m

    • ( 4 ) A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor?

    • 1) 176
    • 2) 175
    • 3) 185
    • 4) 188
    • Discussion in forum
      Answer : 1) 176
      Solution : Area of the room = (544 * 374)cm 2
      Size of largest square tile = H.C.F of 544 & 374cm = 34 cm
      Area of 1 tile = (34 * 34)cm2
      Number of tiles required = [544 * 374 / 34 *s 34]
      = 176.








      discussion


      Answer : 1) 176

    • ( 5 ) The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq.cm. Find its height?

    • 1) 3
    • 2) 6
    • 3) 7
    • 4) 9
    • Discussion in forum
      Answer : 2) 6
      Solution : Let the height of the parallelogram be x cm.Then base = (2x) cm
      => 2x2 = 72
      => x2 = 36
      x = 6.








      discussion


      Answer : 2) 6

    • ( 6 ) The number of small cubes with edge 10 cm that can be accomodated in a cubical box of 1 metre edge, is:

    • 1) 10
    • 2) 1000
    • 3) 100
    • 4) 10000
    • Discussion in forum
      Answer : 2) 1000
      Solution : Number of cube = 100 * 100 * 100 / (10 * 10 *10) = 1000








      discussion


      Answer : 2) 1000

    • ( 7 ) How many bags of grain can be stored in a cuboid granary12 m x 6 in x 5 m, if each bag occupies a space of 0.48 cu. metre?

    • 1) 75
    • 2) 480
    • 3) 750
    • 4) 288
    • Discussion in forum
      Answer : 3) 750
      Solution : number of bag = vol of granary / vol of bag = 12 * 6 * 2 / 0.48 = 750








      discussion


      Answer : 3) 750

    • ( 8 ) The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is:

    • 1) 20
    • 2) 25
    • 3) 30
    • 4) 35
    • Discussion in forum
      Answer : 2) 25
      Solution : Le breadth= x meters
      Then, length= (x + 5)meters
      x(x + 5) = 750
      x2 + 5x - 750= 0
      (x + 30)(x - 25)= 0
      x = 25








      discussion


      Answer : 2) 25

    • ( 9 ) A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

    • 1) 4
    • 2) 6
    • 3) 8
    • 4) None of the above
    • Discussion in forum
      Answer : 2) 6
      Solution : The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers.
      => cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)
      =>could be correct because the other two sides would be 3 and 4.
      =>cannot be correct because this third side would be greater than the sum of the other two sides.








      discussion


      Answer : 2) 6

    • ( 10 ) The area of a square is 69696 cm square. What will be its diagonal ?

    • 1) 373.196 cm
    • 2) 373.110 cm
    • 3) 373.290 cm
    • 4) 373.296 cm
    • Discussion in forum
      Answer : 4) 373.296 cm
      Solution : If area is given then we can easily find side of a square as,
      Side = √ 69696 = 264cm
      we know diagonal = √ 2*side = √ 2*264 = 1.414*264 = 373.296cm








      discussion


      Answer : 4) 373.296 cm





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