General Mathematics

Question: Four prime numbers are in ascending order of their magnitudes. The product of the first three is 385 and that of last three is 1001. The largest given prime number is :
A
11

B
13

C
17

D
19

Note: we note that `5 xx 7 xx 11 = 385` The prime number next to 11 is 13. Also `7 xx 11 xx 13 = 1001.` Hence, the required number is 13
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Question: The nearest integer to 58701 which is exactly divisible by 567 is :
A
58068

B
55968

C
58968

D
None

Note: Not available
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Question: The number which when multiple by 17 increase by 640 is :
A
42

B
36

C
40

D
None

Note: Let the number be x. Then `17x - x = 640 => x = 40.`
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Question: The square of a number subtracted from its cube gives 100. The number is :
A
25

B
16

C
6

D
5

Note: `: x^3 - x^2 = 100 => x^3 - x^2 - 100 = 0` Clearly x = 5 satisfies it.
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Question: If two third of three - fourth of a number added to three-fourth of the four-fifth of the number is x times the number the value of x is :
A
`11/10`

B
`1 11/11`

C
`10/11`

D
`9/11`

Note: Let the number be p. Then `2/3 of 3/4 of p + 3/4 of 4/5 of p = px` `=> 1/2 p + 3/5 p ` `= xp => x = (1/2 + 3/5) = 11/10`
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Question: which of the following numbers dose not lie between` 7/13` and `4/5` ? `1/2, 2/3, 3/4, 5/7`
A
`1/2`

B
`2/3`

C
`3/4`

D
`5/7`

Note: `(7/13 = 0.538, 4/5 = 0.8), (1/2 = 0.5, 2/3 = 0.666, 3/4 = 0.75, 5/7 = 0.714)` Clearly, 0.5 does not lie between 0.538 and 0.8.
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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: Four prime numbers are in ascending order of their magnitudes. The product of the first three is 385 and that of last three is 1001. The largest given prime number is :

Question: The nearest integer to 58701 which is exactly divisible by 567 is :

Question: The number which when multiple by 17 increase by 640 is :

Question: The square of a number subtracted from its cube gives 100. The number is :

Question: If two third of three - fourth of a number added to three-fourth of the four-fifth of the number is x times the number the value of x is :

Question: which of the following numbers dose not lie between` 7/13` and `4/5` ? `1/2, 2/3, 3/4, 5/7`

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