Latest Questions, General Mathematics

Question: Which the largest among the following fractions ? `5/8, 2/3, 7/9, 3/5, 4/7`
A
`5/8`

B
`7/9`

C
`4/7`

D
`2/3`

Note: `5/8 = 0.625, 2/3` `= 0.666, 7/9,` `= 0.777, 3/5` `= 0.6, 4/7 = 0.571` Clearly,` 7/9` is the largest
1. Report
Question: The value of` ((3.06)^3 - (1.98))/((3.06)^2 + (3.06 xx 1.98) + (1.98)^2) = ?`
A
`5.04`

B
`1.08`

C
`2. 16`

D
`1.92`

Note: Given Exp.` = ((^3 - b^3))/((a^2 + ab + b^2)` `= a - b = (3.06 - 1.98)` `= 1.08`
1. Report
Question: `0.04 xx ? = .000016`
A
`4`

B
`.04`

C
`.0004`

D
None

Note: Let` .04 xx x = .000016.` Then, `x = (.000016)/(.04)` `= (.0016)/4` `= .0004`.
1. Report
Question: The value of` (2^(1/2) . 3^(1/3) . 4^(1/4))/(10^(-1/5) . 5^(3/5)) -: 3^(4/3 . 5^(-7/5))/(4^(-3/5) . 6)` is :
A
5

B
6

C
10

D
15

Note: Given Exp.` (2^(1/2) xx 3^(1/3) xx (2^2)^(1/4))/(2^(-1/5) xx 5^(-1/5) xx 5^(3/5)) -: (3^(4/3) xx 5^(-7/5))/((2^2)^(-3/5) xx 2 xx 3)` `= (2^(1/2) xx 3^(1/3) xx 2^(1/2))/(2^(-1/5) xx 5^(-1/5) xx 5^(3/5) xx (2^(-6/5) xx 2 xx 3)/(3^(4/3) xx 5^(-7/5))` `= (2^((1/2 + 1/2 - 5/6 + 1/5 + 1)) xx 3^((1/3 + 1 - 4/3)))/(5^(- 1/5 + 3/5 - 7/5))` `= (2 xx 3^0)/(5^(-1)` `= 2 xx 1 xx 5 = 10`
1. Report
Question: `4^7 -: 16^4 xx sqrt(16) = ?`
A
`1/16`

B
`1/4`

C
`4`

D
`1`

Note: Given Exp.` = 4^7/16^4 xx sqrt(16)` `= 4^7/(4^2)^4 xx 4` `= 4^8/4^8` `= 4^(8 - 8)` `= 4^0 = 1`
1. Report
Question: H.C.F. of `7/90, 14/15` and ` 7/10` is :
A
`7/90`

B
`7/45`

C
`7/675`

D
`14/45`

Note: H.C.F `= (H.C.F. of 7, 14, 7)/(L.C.M. of 90, 15, 10)` `= 7/90`
1. Report
Question: Three persons begin to walk around a circular track. They complete their revolutions in `15 1/6` seconds, ` 16 1/4` seconds and `18 2/3` seconds respectively. After what time will they be together at the starting point again ?
A
`303 1/3` sec

B
`364` sec

C
`3604` sec

D
`3640` sec

Note: Required time = L.C. M. of `91/6, 65/4` and` 56/3` `= (L.C.M. of 91, 65, 56,)/(H.C.F. of 6, 4, 3,)` `= (3640)/1` `= 3640` sec.
1. Report
Question: `((0.43)^3 + (1.47)^3 + (1.1)^3 - 3 xx 0.43 xx 1.47 xx 1.1)/((0.43)^2 + (1.47)^2 + (1.1)^2 - 0.43 xx 1.43 - 0.43 xx 1.1 - 1.47 xx 1.1) = ?`
A
`1.90`

B
`2.87`

C
`3`

D
`3.47`

Note: Given Exp.` = (a^2 + b^3 + c^3 - abc)/(a^2 + b^2 + c^2 - ab - bc - ca)` `= (a + b + c)` `= (0.43 + 1.47 + 1.1) = 3`
1. Report
Question: If` x/2y = 3/2,` then the value of `(2x + y)/(x - 2y)` equals :
A
`1/7`

B
`7`

C
`7.1`

D
`6.8`

Note: `x/(2y) = 3/2 => x/y = 3` `:. (2x + y)/(x - 2y)` `= (2 (x/y) + 1)/((x/y) - 2)` `= (2 xx 3 xx 1)/(3 - 2)` `= 7`
1. Report
Question: `1/4` th of Nikhil,s money is equal to `1/6` th of yogesh,s money. If both together have Rs. 600. What is the difference between their amounts ?
A
240

B
360

C
50

D
120

Note: `1/4 N = 1/6 Y => N = 4/6 Y = 3/3 Y` Now, `N + Y = 600 => 2/3 Y + Y = 600 => Y 360` `:. N `= (600 - 360) = 240` Hence, (Y - N) = (360 - 240) = 120.
1. Report

First Prev 2 3 4 5 6 Next Last

Question: Which the largest among the following fractions ? `5/8, 2/3, 7/9, 3/5, 4/7`

Question: The value of` ((3.06)^3 - (1.98))/((3.06)^2 + (3.06 xx 1.98) + (1.98)^2) = ?`

Question: `0.04 xx ? = .000016`

Question: The value of` (2^(1/2) . 3^(1/3) . 4^(1/4))/(10^(-1/5) . 5^(3/5)) -: 3^(4/3 . 5^(-7/5))/(4^(-3/5) . 6)` is :

Question: `4^7 -: 16^4 xx sqrt(16) = ?`

Question: H.C.F. of `7/90, 14/15` and ` 7/10` is :

Question: Three persons begin to walk around a circular track. They complete their revolutions in `15 1/6` seconds, ` 16 1/4` seconds and `18 2/3` seconds respectively. After what time will they be together at the starting point again ?

Question: `((0.43)^3 + (1.47)^3 + (1.1)^3 - 3 xx 0.43 xx 1.47 xx 1.1)/((0.43)^2 + (1.47)^2 + (1.1)^2 - 0.43 xx 1.43 - 0.43 xx 1.1 - 1.47 xx 1.1) = ?`

Question: If` x/2y = 3/2,` then the value of `(2x + y)/(x - 2y)` equals :

Question: `1/4` th of Nikhil,s money is equal to `1/6` th of yogesh,s money. If both together have Rs. 600. What is the difference between their amounts ?