General Mathematics

Question: If` a = 1.2, b = 2.1` and `c = - 3.3` then the value of` (a^3 + b^3 + c^3 - c abc) is :
A
1

B
2

C
3

D
0

Note: `a + b + c = 1.2 + 2.1 - 3.3 = 0` `=> a^3 + b^3 + c^3 ` `= 3abc => a^3 + b^3 + c^3 - 3abc = 0`
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Question: If` a = 1.2, b = 2.1` and `c = - 3.3` then the value of` (a^3 + b^3 + c^3 - c abc)` is :
A
1

B
2

C
3

D
0

Note: Not available
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Question: Find out the numbers indicated by x and in `3 1/x xx y 2/5 = 13 3/4`fractions being in their lowest terms.
A
`x = 4, y = 8`

B
`x = 4, y = 4`

C
`x = 2, y = 4`

D
`x = 8, y = 4`

Note: Take y = 4. Then,` 3 1/x xx 4 2/5 = 13 3/4` `:. (3x + 1)/x` `= (35/4 xx 5/22) => (3x + 1)/x` `= (3x + 1)/x = 25/8` `=> 24x + 8 = 25x => x = 8` `:. x = 8, y = 4`
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Question: Find out the numbers indicated by x and in `3 1/x xx y 2/5 = 13 3/4`fractions being in their lowest terms.
A
`x = 4, y = 8`

B
`x = 4, y = 4`

C
`x = 2, y = 4`

D
`x = 8, y = 4`

Note: Take y = 4. Then,` 3 1/x xx 4 2/5 = 13 3/4` `:. (3x + 1)/x` `= (35/4 xx 5/22) => (3x + 1)/x` `= (3x + 1)/x = 25/8` `=> 24x + 8 = 25x => x = 8` `:. x = 8, y = 4`
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Question: `(sqrt(31) - sqrt(29))/(sqrt(31) + sqrt(29)) = ?`
A
`60 - 2 sqrt(899)`

B
`30 - sqrt(899)`

C
`30 + sqrt(899)`

D
`1/(30 - sqrt(899))`

Note: Given Exp.` ((sqrt(31) - sqrt(29))/((sqrt(31) + sqrt(29)) xx ((sqrt(31) - sqrt(29))/((sqrt(31) - sqrt(29))` `= ((sqrt(31) - sqrt(29)^2)/((31 - 29))` `= (31 + 29 - 2 sqrt(31) xx sqrt(29))/2` `= 30 - sqrt(899)`
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Question: `(1 - 1)/(1 + sqrt(2)) + 1/(1 - sqrt(2)) = ?`
A
`2sqrt(2) -1`

B
`1 - 2sqrt(2)`

C
`1 - sqrt(2)`

D
`- 2sqrt(2)`

Note: Not available
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Question: If` (676)^2 = 456976,` the value of `sqrt(45.6976` is :
A
`0.00676`

B
`0.676`

C
`6.76`

D
`0.0676`

Note: `sqrt(456976 = 676` `:. sqrt(45.6976 = sqrt(456976)/sqrt(10000)` `= (676)/(100)` `= 6.76`
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Question: `((3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) - 6/(sqrt(8) - sqrt(12))) = ?`
A
1

B
`- sqrt(3)`

C
`sqrt(3) + sqrt(2)`

D
`sqrt(3) - sqrt(2)`

Note: Given Exp.` = (3sqrt(2)) (sqrt(6) + sqrt(3))/((sqrt(6) + sqrt(3)) ((sqrt(6) - sqrt(3)) - ((4sqrt(3)) ((sqrt(6) + sqrt(2))/((sqrt(6) - sqrt(2)) ((sqrt(6) + sqrt(2)) - 6/((sqrt(12) + sqrt(8)) xx ((sqrt(12) - sqrt(8))/((sqrt(12) - sqrt(8))` `= (sqrt(2) (sqrt(6) + sqrt(3)) - sqrt(3) (sqrt(6) + sqrt(2)) - 3/2 (sqrt(12) - sqrt(8)` `= sqrt(12) + sqrt(6) - 3sqrt(2) - sqrt(6) - 3sqrt(3) + 3sqrt(2)` `= 2sqrt(3) - 3sqrt(3) = - sqrt(3)`
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Question: If`a = sqrt(6) + sqrt(5)` and` b = sqrt(6) - sqrt(5),` then `2a^2 - 5ab + 2b^2 = ?`
A
43

B
39

C
31

D
27

Note: `a + b = 2sqrt(6)` and ab` = (6 - 5) = 1` `:. 2a^2 - 5ab + 2b^2` `= 2 (a + b)^2 - 9ab` `= 2(2sqrt(6))^2 - 9 xx 1` `= (48 - 9) = 39`
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Question: If`a = sqrt(6) + sqrt(5)` and` b = sqrt(6) - sqrt(5),` then `2a^2 - 5ab + 2b^2 = ?`
A
43

B
39

C
31

D
27

Note: `a + b = 2sqrt(6)` and ab` = (6 - 5) = 1` `:. 2a^2 - 5ab + 2b^2` `= 2 (a + b)^2 - 9ab` `= 2(2sqrt(6))^2 - 9 xx 1` `= (48 - 9) = 39`
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Question: If` a = 1.2, b = 2.1` and `c = - 3.3` then the value of` (a^3 + b^3 + c^3 - c abc) is :

Question: If` a = 1.2, b = 2.1` and `c = - 3.3` then the value of` (a^3 + b^3 + c^3 - c abc)` is :

Question: Find out the numbers indicated by x and in `3 1/x xx y 2/5 = 13 3/4`fractions being in their lowest terms.

Question: Find out the numbers indicated by x and in `3 1/x xx y 2/5 = 13 3/4`fractions being in their lowest terms.

Question: `(sqrt(31) - sqrt(29))/(sqrt(31) + sqrt(29)) = ?`

Question: `(1 - 1)/(1 + sqrt(2)) + 1/(1 - sqrt(2)) = ?`

Question: If` (676)^2 = 456976,` the value of `sqrt(45.6976` is :

Question: `((3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) - 6/(sqrt(8) - sqrt(12))) = ?`

Question: If`a = sqrt(6) + sqrt(5)` and` b = sqrt(6) - sqrt(5),` then `2a^2 - 5ab + 2b^2 = ?`

Question: If`a = sqrt(6) + sqrt(5)` and` b = sqrt(6) - sqrt(5),` then `2a^2 - 5ab + 2b^2 = ?`