Ques:- Two pipes P and Q can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Recent Answer : Added by shadow of lo On 2022-03-09 16:33:24:
Pfull = 4 Hrs; Qfull = 5 Hrs
Assume velocity Vp = x then Vq = 4/5 x –> avg velocity = (5/5 + 4/5) / 2 = 0.9
If fastest time = 4hrs then the time it would take to fill up tank by alternating is 4/0.9 = 4.44 Hrs
Ques:- The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
Recent Answer : Added by MAMIDI LIJITA SREE On 2023-01-21 17:36:46:
12
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Ques:- The ratio of the present ages of Suman and Renu is 5 : 7 respectively. Four years hence the ratio will become 3 : 4 respectively. What is the present age of Renu in years? (a) 28 (b) 24 (c) 20 (d) 21 (e) None of these
Recent Answer : Added by Admin On 2020-05-17 12:03:41:
( a ) 28
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Ques:- 78 x 14 + 7645 ? ? = 8247
A. 580
B. 590
C. 490
D. 480
E. None of these
Recent Answer : Added by Kartika Vijh On 2021-08-13 07:13:19:
c
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Recent Answer : Added by Dnyaneshwar On 2022-03-09 16:40:37:
5! = 120
Ques:- Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year, each of them discovered that every tree in their own orchard bore exactly the same number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives three to each of the second and the fourth, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the third and fourth farmers?
Recent Answer : Added by John Rony On 2021-06-23 17:56:01:
So we consider the 2nd statement first. We can form an equation out of it.
14x-6=13y+3=9z+3
Using this, we can understand that the multiple of 14 and the multiple of 13 and 9 must have a difference of 9. The easiest way to ensure that is multiplying it by 9
14*9=126
13*9=117
If the 5th farmer gives 3 apples to the 4th farmer, they would have 123 and 120 apples respectively. However, we also know that the 2nd farmer has 117 apples (13*9=117, and this is a multiple of 9) if the 5th farmer gives 3 apples too the 2nd farmer, the 3rd, 4th and 5th farmers would have 120 apples each.
Now that we got 120, we should check if the first part of the question makes sense along with it. The equation would be
7a+1=11b-1=120
We know that 11*11=121 and 7*17=119. When we add 1 to 119 and subtract 1 from 121, we get 120 for each. In this way, all the farmers have 120 apples each.
Therefore, the 3rd farmer had a yield of 11 per tree and the 4th farmer had a yield of 9 per tree.
Ques:- The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, Evaluate the area of the triangle ?
Recent Answer : Added by Tushar Singh On 2022-03-09 16:33:29:
As it is a right angled triangle so we know the hypotenuse must be 13 and 5 & 13 are base and height (in any order).
Area of triangle = 0.5* base * height = 0.5 * 5 * 12 = 30
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Recent Answer : Added by Ankit Aditya Mishra On 2022-05-17 09:07:22:
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Recent Answer : Added by Admin On 2022-09-29 18:33:42:
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Recent Answer : Added by Ayanavo Lahiri On 2022-03-18 09:20:27:
2.01
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Recent Answer : Added by Admin On 2020-05-17 12:00:20:
15
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Recent Answer : Added by Khan On 2022-08-14 16:28:36:
35Kg
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Pfull = 4 Hrs; Qfull = 5 Hrs
Assume velocity Vp = x then Vq = 4/5 x –> avg velocity = (5/5 + 4/5) / 2 = 0.9
If fastest time = 4hrs then the time it would take to fill up tank by alternating is 4/0.9 = 4.44 Hrs