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( 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 3) 9 cm
Solution : Let the radius of the ball be r cm.
Volume of ball = Volume of water displaced by it.
4/3 πr^{3} = π * 12 * 12 * 6.75
=> r^{3} = 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

Show Answer Report Discussion in forumAnswer : 4) 200 m
Solution : Let the altitude of the triangle be h and base of each be b.
Then , (1/2) * b * h_{1} where h_{2} = 100 m.
= h_{1} = 2h_{2}
= ( 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

Show Answer Report Discussion in forumAnswer : 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)cm^{2}
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

Show Answer Report Discussion in forumAnswer : 2) 6
Solution : Let the height of the parallelogram be x cm.Then base = (2x) cm
=> 2x^{2} = 72
=> x^{2} = 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 2) 25
Solution : Le breadth= x meters
Then, length= (x + 5)meters
x(x + 5) = 750
x^{2} + 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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
