General Mathematics

Question: The cost of papering the four walls of a room is Rs.475. Each one of the length, breadth and height of another room is double that of this room. The cost of papering the walls of this new room is :
A
Rs. 950

B
Rs. 1425

C
Rs. 1900

D
Rs. 712.50

Note: Let the dimensions of former room be x,y and z. Then, the area of its 4 walls` = 2 (x +y) xx z sq.` units. :. Area of 4 walls of this room `= 2 (2x + 2y) xx 2z` `= 4 xx [2 (x + y) xx z]` `= 4 xx (Area of 4 walls of 1st room)` :. Required cost `= Rs. (475 xx 4)` `= 1900`
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Question: If the area of a rhombus is 15 sq. cm and the length of one of its diagonals is 5 cm, then the length of the other diagonal is :
A
3 cm

B
5 cm

C
6 cm

D
7 cm

Note: Area` = 1/2 xx `(product of diagonals) `:. 1/2 xx 5 xx x = 15 => x = (15 xx 2/5)` `= 6 cm`
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Question: If one side and one diagonal of a rhombus are 5 cm and 8 cm respectively, then its area is :
A
`20 cm^2`

B
`24 cm^2`

C
`40 cm^2`

D
`26 cm^2`

Note: Halves of diagonals & side of a rhombus from a right angled triangle with side as hypotenuse. Let another diagonal = 2x. Then, `x^2 + (8/2)^2 = 5^2 or x^2` `= (5^2 - 4^2)` `= 9 or x = 3.` :. Another diagonal = 6 cm. :. Area` = (1/2 xx 8 6) sq.cm = 24 sq. cm.`
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Question: In rhombus whose area is 144 sq. cm, one of its diagonal is twice as long as the other. The lengths of its diagonal are :
A
`12 cm, 24 cm`

B
`6 cm, 12 cm`

C
`24 cm, 48 cm`

D
`18 cm, 32 cm`

Note: Let the diagonals be x and 2x cm. Then,` 1/2 (x xx 2x) = 144 or x = 12.` :. Diagonal are 12 cm and 24 cm.
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Question: The perimeter of a rhombus is 52 metres and its shorter diagonal is twice as long as the other. The length of its diagonal are :
A
12 m

B
18 m

C
10.4 m

D
24 m

Note: side` = (52/4) m = 13 m,` Half of one diagonal = 5 m. Let another diagonal = 2x metre. Then, `x^2 + 5^2 = (13)^2 or x^2 = 144 or x = 12 m.` :. Longer diagonal = 24 m.
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Question: The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the longer diagonal ?
A
`4/5`

B
`2/5`

C
`3/4`

D
`1/4`

Note: Let one diagonal = x cm. Another diagonal `= 80/(100) x` `= (4x)/5 cm.` Area of rhombus` = 1/2 (x xx (4x)/5)` `= 2/5 x^2` `= 2/5` (square of longer diagonal)
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Question: In what ratio must water be mixed with milk to gain `16 2/3%`on selling the mixture at the cost price ?
A
2:3

B
4:3

C
6:1

D
1:6

Note: Not available
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Question: If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is :
A
greater than 1

B
equal to 1

C
equal to` 1/2`

D
equal to` 1/4`

Note: A square and a rhombus on the same base are equal in area
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Question: In what ratio must water be mixed with milk to gain `16 2/3%`on selling the mixture at the cost price ?
A
2:3

B
4:3

C
6:1

D
1:6

Note: Not available
1. Report
Question: Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. the ratio in which these two mixtures be mixed to get a new mixture containing milk and water in the ratio 9 : 4 ?
A
2 : 7

B
5 : 2

C
3 : 5

D
5 : 7

Note: Not available
1. Report

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Question: The cost of papering the four walls of a room is Rs.475. Each one of the length, breadth and height of another room is double that of this room. The cost of papering the walls of this new room is :

Question: If the area of a rhombus is 15 sq. cm and the length of one of its diagonals is 5 cm, then the length of the other diagonal is :

Question: If one side and one diagonal of a rhombus are 5 cm and 8 cm respectively, then its area is :

Question: In rhombus whose area is 144 sq. cm, one of its diagonal is twice as long as the other. The lengths of its diagonal are :

Question: The perimeter of a rhombus is 52 metres and its shorter diagonal is twice as long as the other. The length of its diagonal are :

Question: The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the longer diagonal ?

Question: In what ratio must water be mixed with milk to gain `16 2/3%`on selling the mixture at the cost price ?

Question: If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is :

Question: In what ratio must water be mixed with milk to gain `16 2/3%`on selling the mixture at the cost price ?

Question: Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. the ratio in which these two mixtures be mixed to get a new mixture containing milk and water in the ratio 9 : 4 ?