Latest Questions, General Mathematics

Question: The value of` ((625)^(6.25) xx (25)^(2.6))/((625)^(6.75) xx (5)^(1.2))` is
A
0.25

B
6.25

C
25

D
625

Note: Not available
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Question: `(16)^(1.75) = ?`
A
`64`

B
`64sqrt(2)`

C
`128`

D
`128sqrt(2)`

Note: `(16)^(1.75) = (2^4)^(175/100)` `=(2^4)^(7/4) = 2^(4 xx 7/4)` `= 2^7 = 128.
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Question: Out of the numbers` sqrt(2), 3sqrt(3)` and `4sqrt(4)` we can definitely say that the largest number is :
A
`sqrt(2)`

B
`3sqrt(3)`

C
`4sqrt(4)`

D
all are equal

Note: Given numbers are` 2^(1/2), 3^(1/3), 4^(1/4),` L .C. M. of 2, 3, 4 is 12, Now
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Question: If` (5 + 2sqrt(3))/(7 + 4sqrt(3)) = a + b sqrt(3),` then
A
`a = 11, b = - 6`

B
`a = - 6, b = 11`

C
`a = - 11, b = c`

D
`a = - 11, b = - 6`

Note: `(5 + 2sqrt(3))/(7 + 4sqrt(3))` `= (5 + 2sqrt(3))/(7 + 4sqrt(3)) xx (7 - 4sqrt(3))/(7 - 4sqrt(3))` `= (35 - 24 + 14sqrt(3) - 20sqrt(3))/(49 - 48)` `= 11 - 6sqrt(3)` Thus, `a + b sqrt(3) = 11 - 6sqrt(3)` Hence, a = 11, b = - 6.
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Question: The value of` 4sqrt((625))^3` i, s :
A
25

B
125

C
`3sqrt(1875)`

D
None

Note: `4sqrt((625))^3 = (625)^(3/4) = (5^4)^(3/4)` `= 5^(4 xx 3/4)` `= 5^3 = 125`
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Question: If` (125)^x = 3125,` then x equal :
A
`3/5`

B
`5/3`

C
`1/4`

D
`1/5`

Note: `(125)^x = 3125` ` => (5^3)^x = 5^5 => 3x` ` = 5 => x = 5/3`
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Question: The value of` (36 xx 36 xx 36 + 14 xx 14 xx 14)/(36 xx 36 + 14 xx 14 - 36 xx 14)` is :
A
`22`

B
`50`

C
`5100`

D
`132`

Note: Given Exp.` = (a^3 + b^3)/((a^2 + b^2 - ab))` `= (a + b) = (36 + 14) = 50`
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Question: The value of` (0.63 + 0.37)` is :
A
`1.01`

B
`.101`

C
`1.01`

D
`1.001`

Note: `0.63 = 63/99` and `0.37 = 37/99.` `:. 0.63 + 0.37 = 63/99 + 37/99` `= 100/99 = 1 1/99 = 1.01`
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Question: If` 1/(3.718) = .2689,` then the value of` 1/(.0003718)` is :
A
`2689`

B
`2.689`

C
`26890`

D
`.2689`

Note: `1/(0.0003718)` `= (10000)/(3.718)` `= 10000 xx .2689` `= 2689`
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Question: `(0.333.......) xx (0.444.....) =?`
A
`0.121212`

B
`1.333`

C
`0.777`

D
`0.148148148......`

Note: Given Exp.` = 0.3 xx 0.4 = 3/9 xx 4/9` `= 4/27` `= 0.148148148.......`
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Question: The value of` ((625)^(6.25) xx (25)^(2.6))/((625)^(6.75) xx (5)^(1.2))` is

Question: `(16)^(1.75) = ?`

Question: Out of the numbers` sqrt(2), 3sqrt(3)` and `4sqrt(4)` we can definitely say that the largest number is :

Question: If` (5 + 2sqrt(3))/(7 + 4sqrt(3)) = a + b sqrt(3),` then

Question: The value of` 4sqrt((625))^3` i, s :

Question: If` (125)^x = 3125,` then x equal :

Question: The value of` (36 xx 36 xx 36 + 14 xx 14 xx 14)/(36 xx 36 + 14 xx 14 - 36 xx 14)` is :

Question: The value of` (0.63 + 0.37)` is :

Question: If` 1/(3.718) = .2689,` then the value of` 1/(.0003718)` is :

Question: `(0.333.......) xx (0.444.....) =?`