International Maths Olympiad Forum By SOF Olympiad Trainer

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Subject :IMO    Class : Class 9

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Subject :IMO    Class : Class 9

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Subject :IMO    Class : Class 9

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Subject :IMO    Class : Class 9

Fill in the blanks and select the CORRECT option.
• Two cylindrical pots contain the same amount of milk. If their diameters are in the ratio 2 : 1, then the ratio of their heights is __P__.
• The volume of a sphere is equal to __Q__ the volume of a cylinder which has same height and diameter. (Radius of sphere = radius of cylinder)
• The slant height and base diameter of conical tomb are 25 m and 14 m respectively. The cost of white washing its curved surface at the rate of ₹ 210 per 100 m2 is __R__

P Q R
A 4 : 1 half ₹ 1100
B 1 : 4 half ₹ 1100
C 1 : 4 two-third ₹ 1155
D 4 : 1 two-third ₹ 1155


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Subject :IMO    Class : Class 5

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Subject :IMO    Class : Class 9

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Subject :IMO    Class : Class 9

Read the statements carefully and select the correct option.
Statement-I : A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm2, at the rate of 16 km per hour. The rise in the level of water in the tank in 45 minutes is 2.5 cm.
Statement-II : If V is the volume of cuboid of dimensions a, b and c and A is its surface area, then = 2[a + b + c].

AStatement-I is true but Statement-II is false.
BStatement-I is false but Statement-II is true.
CBoth Statement-I and Statement-II are true.
DBoth Statement-I and Statement-II are false.


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