General Mathematics

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`
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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`
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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.
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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`
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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`
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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.
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Question: `((0.05)^2 + (0.41)^2 + (0.073)^2)/((0.005)^2 + (0.041)^2 + (0.0073)^2 )= ?`
A
100

B
10

C
1000

D
None

Note: Not available
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Question: One litre of water weights 1 kg. How many cubic millimetres of water will weight 0.1 gram ?
A
10

B
100

C
0.1

D
1

Note: 1000 Cu cm weighs 1000 gms. i,e 1000 gms is the weight of` (1000 xx 1000)` Cu mm 0.1 gm is the weight of` ((1000 xx 1000)/1000 xx 0.1)` Cu mm = 100 Cu mm.
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Question: Out of a tank which is` 3/4` th full, 21 litres of water is drawn out. The tank is now `2/5` th full. what is the capacity of the tank in litres ?
A
200

B
120

C
40

D
60

Note: Let the capacity of the tank be x litres. Then, `3/4 x - 21 = 2/3 x => (3x)/4 - (2x)/5` `= 21 => x = 60`
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Question: Talekar is as much heaver than Suresh as he is lighter than Gokhale. If the total weight of Suresh and Gokhale is 140 kg, what is the weight of Talekar ?
A
55 kg

B
65 kg

C
70 kg

D
Data insufficient

Note: `T - S = G - T =>G + S = 2T` `:. 2% = 140 => T = 70`
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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 ?

Question: `((0.05)^2 + (0.41)^2 + (0.073)^2)/((0.005)^2 + (0.041)^2 + (0.0073)^2 )= ?`

Question: One litre of water weights 1 kg. How many cubic millimetres of water will weight 0.1 gram ?

Question: Out of a tank which is` 3/4` th full, 21 litres of water is drawn out. The tank is now `2/5` th full. what is the capacity of the tank in litres ?

Question: Talekar is as much heaver than Suresh as he is lighter than Gokhale. If the total weight of Suresh and Gokhale is 140 kg, what is the weight of Talekar ?