General Mathematics

Question: How many bags of gain can be stored in a cuboid granary`12 m xx 6 m xx 5 m,` if each bag occupies a space of `0.48 cu.`metre ?
A
`75`

B
`750`

C
`480`

D
`288`

Note: Number of bags `= Volume of granary/Volume of one bag` `= ((12 xx 6 xx 5)/(0.48))` `= 750`
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Question: Pencils, Pens and Exercise books in a shop are in the ratio of `10 : 2 : 3`. If there are `120`pencils, the mumber of exercise books in the shop is :
A
`36`

B
`48`

C
`72`

D
`400`

Note: Let Pencils `= 10x`, Pens `= 2x` & Exercise books `= 3x` Now, `10x = 120` `iff x = 12`. `:.` Number of exercise books `= 3x` `= 36 `.
1. Report
Question: If the length of diagonal of a cube is `4√3 cm,` then its surface area is :
A
`24 cm^2`

B
`54 cm^2`

C
`96 cm^2`

D
`216 cm^2`

Note: Not available
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Question: If the length of diagonal of a cube is `8√3 cm,`then its volume is :
A
`512 cm^3`

B
`384 cm^3`

C
`64 cm^3`

D
`192 cm^3`

Note: `√3 a = 8√3 ⇒ a = 8 cm.` :. Volume` = (8 xx 8 xx 8) cm^3` `= 512 cm^3.`
1. Report
Question: The number of small cubes with edge `10 cm` that can be accomodated in a cubical box of `1` metre edge is :
A
`10`

B
`100`

C
`1000`

D
`10000`

Note: Number of cubes `= ((100 xx 100 xx 100)/(10 xx 10 xx 10))` `= 1000.`
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Question: A metal sheet `27` cm long, `8` cm broad and `1` cm thick is melted into a cube. The difference between surface areas of two solids, is :
A
`284 cm^2`

B
`286 cm^2`

C
`296 cm^2`

D
`300 cm^2`

Note: Not available
1. Report
Question: A tank `4` m long, `1.5` m wide is dug in a field `31` m long and `10` m wide. If the earth dug out is evenly spread out over the filed, the rise in level of the field is :
A
`3.1 cm`

B
`6.2 cm`

C
`5 cm`

D
`4.8 cm`

Note: Volume of earth dug out `= (4 xx 5/2 xx 3/2) m^3` `= 15 m^3.` Area over which earth is spread `= (31 xx 10 - 4 xx 5/2) m^2` `= 300 m^2` Rise in Level `= (Volume/Area)` `= (15/300 xx 100) cm` `= 5 cm.`
1. Report
Question: If each edge of a cube is doubled, then its volume :
A
is doubled

B
becomes `4` times

C
becomes `6` times

D
becomes` 8` times

Note: Let original edge`= a` Then, volume`= a^3` New edge`= 2a.` So, new volume `= (2a)^3 = 8a^3.` :. Volume becomes `8` times.
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Question: If each edge of a cube is increased by`25%` then the percentange increase in its surface area is :
A
`25%`

B
`50%`

C
`48.75%`

D
`56.25%`

Note: Let original edge = a. Then, surface area`= 6a^2` New edge`= 125/100 a = (5a/4).` New surface area `= 6 xx ((5a)/(4))^2` `= (75a^2)/8.` Increase in surface area `= ((75a^2)/(8) - 6a^2)` `= (27a^2)/8.` Increase`% = ((27a^2)/8 xx 1/(6a^2) xx 100)%` `= 56.25%.`
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Question: In a factory, the ratio of male workers to female workers was `5 : 3`. If the number of female workers workers was less by `40` what was the total number of workers in the factory?
A
`100`

B
`160`

C
`200`

D
`500`

Note: Let males `= 5x` and females `= 3x`. Then, total `= 8x`. Now, `5x - 3x = 40` `iff x = 20`. `:.` Total number of workers in the factory `= 8x` `= 160`.
1. Report

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Question: How many bags of gain can be stored in a cuboid granary`12 m xx 6 m xx 5 m,` if each bag occupies a space of `0.48 cu.`metre ?

Question: Pencils, Pens and Exercise books in a shop are in the ratio of `10 : 2 : 3`. If there are `120`pencils, the mumber of exercise books in the shop is :

Question: If the length of diagonal of a cube is `4√3 cm,` then its surface area is :

Question: If the length of diagonal of a cube is `8√3 cm,`then its volume is :

Question: The number of small cubes with edge `10 cm` that can be accomodated in a cubical box of `1` metre edge is :

Question: A metal sheet `27` cm long, `8` cm broad and `1` cm thick is melted into a cube. The difference between surface areas of two solids, is :

Question: A tank `4` m long, `1.5` m wide is dug in a field `31` m long and `10` m wide. If the earth dug out is evenly spread out over the filed, the rise in level of the field is :

Question: If each edge of a cube is doubled, then its volume :

Question: If each edge of a cube is increased by`25%` then the percentange increase in its surface area is :

Question: In a factory, the ratio of male workers to female workers was `5 : 3`. If the number of female workers workers was less by `40` what was the total number of workers in the factory?