General Mathematics

Question: A jar fall of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is :
A
`1/3`

B
`2/3`

C
`2/5`

D
`3/5`

Note: Not available
1. Report
Question: A jar fall of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is :
A
`1/3`

B
`2/3`

C
`2/5`

D
`3/5`

Note: Not available
1. Report
Question: The cross section of canal is trapezium in shape. The canal is 12 m wide at the top and 8 m wide at the bottom. If the area of the cross section is 840 sq.m, the depth of the canal is :
A
42 m

B
84 m

C
63 m

D
8.75 m

Note: `1/2 (12 + 8) xx d` `= 840 or d = 84 m.`
1. Report
Question: 729 ml of mixture contains milk and water in the ratio 7 :2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3 ?
A
79 ml

B
81 ml

C
72 ml

D
91 ml

Note: Not available
1. Report
Question: A sum of Rs. 312 was divided among 100 boys and girls in such a way that each boy gets Rs. 3.60 and each girl Rs. 2.40. The number of girls is :
A
40

B
60

C
35

D
65

Note: Not available
1. Report
Question: The three sides of a triangle are 3 cm, 4 cm and 5 cm respectively. Then, its area (in sq.cm) is :
A
`4sqrt(2)`

B
`2sqrt(3)`

C
`sqrt(23)`

D
6

Note: a = 3, b = 4 and c = 5. `:. s = 1/2 (3 + 4 + 5) = 6` :. Area` = sqrt(6 xx 3 xx 2 xx 1)` `= sqrt(36)` `= 6 sq. cm.`
1. Report
Question: 729 ml of mixture contains milk and water in the ratio 7 :2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3 ?
A
79 ml

B
81 ml

C
72 ml

D
91 ml

Note: Not available
1. Report
Question: The perimeter of an isosceles triangle is 14 cm and the lateral side is to the base in the ratio 5 : 4. The area of the triangle (in sq.cm) is :
A
`sqrt(21)/2`

B
`(3sqrt(21))/2`

C
`2sqrt(21)`

D
`sqrt(21)`

Note: Let the sides be 5x + 5x + 4x = 14 or x = 1. :. sides are 5 cm, 5 cm and 4 cm. `:. s = 1/2 (5 + 5 + 4) = 7. ` :. Area` = sqrt(7 xx 2 xx 2 xx 3)` `= 2sqrt(21) cm.^2` `
1. Report
Question: If x is the length of a median of an equilateral triangle, then its area is :
A
`x^2`

B
`1/2 x^2`

C
`(x^2sqrt(3))/2`

D
`(x^2sqrt(3))/3`

Note: `(Area of square)/(Area of triangle)` `= a^2/sqrt(3)/4 a^2` `= 4/sqrt(3), i. e. 4: sqrt(3)`
1. Report
Question: If x is the length of a median of an equilateral triangle, then its area is :
A
`x^2`

B
`1/2 x^2`

C
`(x^2sqrt(3))/2`

D
`(x^2sqrt(3))/3`

Note: `(Area of square)/(Area of triangle)` `=( a^2)/(sqrt(3))/(4) a^2` `= 4/sqrt(3), i. e. 4: sqrt(3)`
1. Report

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Question: A jar fall of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is :

Question: A jar fall of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is :

Question: The cross section of canal is trapezium in shape. The canal is 12 m wide at the top and 8 m wide at the bottom. If the area of the cross section is 840 sq.m, the depth of the canal is :

Question: 729 ml of mixture contains milk and water in the ratio 7 :2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3 ?

Question: A sum of Rs. 312 was divided among 100 boys and girls in such a way that each boy gets Rs. 3.60 and each girl Rs. 2.40. The number of girls is :

Question: The three sides of a triangle are 3 cm, 4 cm and 5 cm respectively. Then, its area (in sq.cm) is :

Question: 729 ml of mixture contains milk and water in the ratio 7 :2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3 ?

Question: The perimeter of an isosceles triangle is 14 cm and the lateral side is to the base in the ratio 5 : 4. The area of the triangle (in sq.cm) is :

Question: If x is the length of a median of an equilateral triangle, then its area is :

Question: If x is the length of a median of an equilateral triangle, then its area is :