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?
Recent Answer : Added by samarth khare On 2021-06-23 17:56:06:
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
Ques:- A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Recent Answer : Added by Pavithra On 2023-05-26 01:10:38:
Reduction of 40% or 4/10th in price of bananas will lead to an increase of 4/(10 – 4) = 2/3rd part in quantity if expenditure is constant.
If original quantity is q, then :
2q/3 = 64
=> q = 64 x 3/2 = 96 = 8 dozens.
=> Original price per dozen = 40/8 = Rs 5
Ques:- If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Recent Answer : Added by DK BOSS On 2021-07-17 06:27:52:
Ques:- Find out the wrong number in a given series.
263, 284, 393, 481, 482
A. 482
B. 481
C. 393
D. 284
Recent Answer : Added by Gifty Samoliane Asiedu On 2022-08-14 16:42:37:
B
Ques:- A speed of 14 metres per second is the same as
A. 28 km/hr
B. 50.4 km/hr
C. 70 km/hr
D. 74.2 km/hr
Recent Answer : Added by M KISHORE On 2023-03-15 16:31:05:
let convert meter to kilometer by multiply 18/5 then answer be 14*(18/5)=50.4 km/s
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Ques:- A person has 60 pens. He sells some of these at a profit of 12% and the rest at 8% loss. On the whole, he gets a profit of 11%. How many pens were sold at 12% profit and how many at 8% loss?
A. 54
B. 57
C. 58
D. 60
Recent Answer : Added by Anon On 2022-08-14 16:31:46:
57 and 3
12 x 57 = 684
-8 x 3 = -24
684 – 24 = 660
660/ 60 = 11
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Ques:- The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Recent Answer : Added by V Revanth Royal On 2021-08-16 15:51:28:
31yrs
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Ques:- In each questions below are given two statements followed by two conclusions numbered I and II. Statements : All pens are roads. All roads are houses. Conclusions :
I. All houses are pens.
II. Some houses are pens.
A. if only conclusion I follows
B. if only conclusion II follows
C. if either conclusion I or II follows
D. if neither conclusion I nor II follows
E. if both conclusions I and II follow
Recent Answer : Added by Ritu Verma On 2021-12-20 03:54:58:
A.
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Ques:- Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Recent Answer : Added by Shahbina On 2022-08-24 17:03:17:
1 tank will fill in 10 minutes.
Ques:- Find the smallest four-digit number which is a multiple of 112?
Recent Answer : Added by Admin On 2022-09-29 19:09:33:
Calculation:
⇒ If 1000 divided by 112, the remainder is 104. ⇒ 112 – 104 = 8 ⇒ If 8 is added to 1000 it will become the smallest four-digit number and a multiple of 112. ⇒ 1000 + 8 = 1008 ∴ The required result will be 1008.
Ques:- How many tangents can be drawn with in three circles if they do not lie with in each other
Recent Answer : Added by Admin On 2020-05-17 12:01:17:
we can draw 12 tangents, 4 for 2 circles and 12 for 3
circles
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