Ques:- Mr. T has a wrong weighing pan. One arm is lengthier than other. 1 kilogram on left balances 8 melons on right. 1 kilogram on right balances 2 melons on left. If all melons are equal in weight,what is the weight of a single melon?
Ques:- There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles .
Recent Answer : :
let x be lenghth of candles.
thicker one—- in 1 hr 1/6th will go.
thinner one— in 1 hr 1/4th will go.
let he lit for n hrs.
so in n hrs thicker one goes n/6.
and thinner one goes n/4.
so remainini length are x-n/6 and x-n/4.so x-n/6=2(x-n/4)
implie n=3x. if x=1 n=3hrs.
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40
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Recent Answer : :
QTP(twins)SR
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Recent Answer : :
2cm b)
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A. 2 x 2 x 2 x 3 x 7
B. 2 x 2 x 3 x 3 x 7
C. 2 x 3 x 3 x 3 x 7
D. 3 x 3 x 3 x 3 x 7
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B
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A. 7
B. 14
C. 21
D. 28
Recent Answer : :
14
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A. 100
B. 110
C. 120
D. 130
Recent Answer : :
120
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3
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A. 7 : 6 : 10
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D. Cannot be determined
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b
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9, 12, 11, 14, 13, (…..), 15
9, 12, 11, 14, 13, (…..), 15
A. 10
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D. 17
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16
Suppose the lengthier arm of weighing pan is of x cm and other arm is y cm .Also let weight if each melon be m kg.
so applying equilibrium of torque principles ,we get
case 1:-
1x-8my=0
case 2:-
2mx-1y=0
using case 1 equation , we substitute value of x into case 2 equation;
16mmy-1y=0
(16mm-1)y=0
y is length of weighing arm and cannot be 0,
therefore ,
16mm-1 =0
16mm=1
mm=1/16
m= square root (1/16)
m=+-1/4
m is weight of melon and cant be negative.
Hence m, weight of one melon is 1/4 kg