General Mathematics

Question: The area of a circle inscircle in an equilateral triangle of side 24 cm, is :
A
`18 π cm^2`

B
`24 π cm^2`

C
`36 π cm^2`

D
`48 π cm^2`

Note: `1/2 xx 24 xx h = sqrt(3)/4 xx 24 xx 24 or h` `= 12sqrt(3)` `:. 3r = 12sqrt(3) or r = 4sqrt(3)` :. Area of circle` = π xx (4sqrt(3))^2` `= (48 π) cm^2`.
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Question: A circular wire of radius 42 cm is cut and bent into the from of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is :
A
`30 cm`

B
`60 cm`

C
`72 cm`

D
`132 cm`

Note: Length of wire = circumference of circle of radius 42 cm `= (2 xx 22/7 xx 42) cm.` `= 264 cm` :. perimeter of rectangle = 264 cm. Let, length = 6x cm & breadth = 5x cm. `:. 2 (6x + 5x) = 264 or x = 12.` :. Smaller side = 60 cm
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Question: Four circular cardboard pieces, each of radius 7 cm are placed in such a way that each piece touches two other pieces, The area of the space enclosed by the four pieces is :
A
`21 cm^2`

B
`42 cm^2`

C
`84 cm^2`

D
`168 cm^2`

Note: Required area` = (14 xx 14 - 4 xx 1/4 xx 22/7 xx 7 xx 7) cm^2` `= (196 - 154) cm^2` `= 42 cm^2`
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Question: Four house are tethered at four corners of a square plot of side 63 metres so that they just can not reach one another. The area left ungrazed is :
A
`675.5 m^2`

B
`780.6 m^2`

C
`785.8 m^2`

D
`850.5 m^2`

Note: Required area` = (63 xx 63 - 4 xx 1/4 xx 22/7 xx 63/2 xx 63/2) m^2` `= 850.5 m^2`
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Question: A sum of Rs. 36.90 is made up of 180 coins which are either 10 paise coins or 25 paise coins. The number of 10 paise coins is :
A
126

B
54

C
120

D
60

Note: Not available
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Question: A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25% ?
A
4 kg

B
5 kg

C
8 kg

D
30 kg

Note: Not available
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Question: A container contains 40 kg of milk. Form this container 4 kg of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?
A
27.36 kg

B
29.16 kg

C
28 kg

D
26.34 kg

Note: Not available
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Question: A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the initially ?
A
25

B
21

C
20

D
10

Note: Not available
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Question: The value of `5^(1/4) xx (125)^0.25` is
A
`sqrt(5)`

B
`5sqrt(5)`

C
5

D
25

Note: `5^1∕4 xx (125)^0.25` `= 5^0.25 xx (5^3)^0.25` `= 5^0.25 xx 5^(3 xx 0.25)` `= 5^0.25 xx 5^0.75` `= 5^(0.25 + 0.75)` `= 5^1` `= 5`.
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Question:
A

B

C

D

Note: Not available
1. Report

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Question: The area of a circle inscircle in an equilateral triangle of side 24 cm, is :

Question: A circular wire of radius 42 cm is cut and bent into the from of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is :

Question: Four circular cardboard pieces, each of radius 7 cm are placed in such a way that each piece touches two other pieces, The area of the space enclosed by the four pieces is :

Question: Four house are tethered at four corners of a square plot of side 63 metres so that they just can not reach one another. The area left ungrazed is :

Question: A sum of Rs. 36.90 is made up of 180 coins which are either 10 paise coins or 25 paise coins. The number of 10 paise coins is :

Question: A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25% ?

Question: A container contains 40 kg of milk. Form this container 4 kg of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

Question: A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the initially ?

Question: The value of `5^(1/4) xx (125)^0.25` is

Question: