tricky questions

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ums131's picture
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Q1. A water tank has 3 taps A.B & C. A fill 4 buckets in 24 min, B fills 8 buckets in 60 min and C fill 2  buckets in 20 min .If all the taps are opened together a full tank is emptied in 2hrs. If a bucket contains 5L water, what is the capacity of the tank?
1) 120L
2) 240L
3) 180L
4) 60 L

Q2. A, B, C and D are four integers having a sum of 4. Find the minimum possible value of the sum of their reciprocals.
a. 4
b. 0
c. -2(6/7)
d. -3(1/3)

Q3. A and B walk from x to y a distance of 27 km at 5 km/hr and 7 km/hr respectively. B reaches Y and immediately turns back meeting A at z. What is the distance form x to z.?
1) 25 km
2) 22.5 km
3) 24 km
4) 20 km

Q4. A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minutes, where 1 <= n <= N, the tap numbered n, which fills the tank at the rate of n litres per minute, is opened. If it takes exactly N minutes to fill the tank in this manner, find N.
a. 8
b. 9
c. 10
d. 11

Incognito
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Q3

Let they meet after t time
then its same for both
For A : 27/7 + x/ 7 for B: 27/5 + (27-x)/5
=> 27/7 - 27/5 = 27/5 - x/5 - x/7
=>12x/35=54/5 - 27/7
=> 12x/35 = (54x7 - 27x5)/35
=>12x = 27x9
=> 4x = 81
=> x = 20.25

alivia's picture
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A simple logic... both 'll

A simple logic... both 'll travel together 54km and the distance travelled 'll be in the ratio 5 and 7
So its 5/12 x 54
=  5/4 x 18
= 45/2
= 22.5

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NRK2009's picture
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Q1

Answer is 240 i.e. 2nd option..?

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sujamait's picture
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Q2

i think solution for q2 is option 3
as we can have no's
-1,-1,-1,+7
that will give us minimum value

sujamait's picture
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Q3

yeah alivia ur answer is rt n logic is also gud
i don know wat incognito has done wid d Question

Incognito
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answers.........

answes are
1 (1)
2(3)
3(2)
4(3)
& these  right answers

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