Q96. Suhani can do a piece of work in 12 days. Suhani and Somya complete the work together and were paid Rs 54 and Rs 81 respectively. How many days must they have taken to complete the work together ?
a) 4 days
b) 4.5 days
c) 4.5 days
d) 4.8 days
A. (d)
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Q97. 36 people {a1, a2… a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is :
a) 12
b) 11
c) 18
d) 13
A. (a)
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Q98. A and B, B and C can do a work in 12 & 16 days. If A work for 5 days and B work for 7 days and C complete the remaining work in 13 days. Then in how many days C will complete the work alone?
a) 24
b) 34
c) 20
d) 16
A. (a)
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Q99. In a single throw with two dice, find the probability that their sum is a multiple either of 3 or 4.
a) 5/6
b) 1/3
c) 5/9
d) 3/8
A. (c)
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Q100. Two pipes can fill in 14 hours and 16 hours respectively. The pipe is opened simultaneously and it is found that due to leakage in the bottom, 32 minutes extra are taken for the cistern to be filled up. When the cistern is filling, in what time will the leak empty it ?
a) 112 hrs
b) 115 hrs
c) 116 hrs
d) 117 hrs
A. (a)
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I want solution for 155 question
Solution for Question 15:
The difference in 1 box = 45 – 27 = 18
Extra amount he has to pay to buy 27 boxes this year = 27 * 18 = 486$
Sol: 46
Let x, y & z be no of boxes George, Mark or Henry can paint in one day.
From given data,
20x + 20y = 720, ∴ x + y = 36 …(1)
24y + 24z = 720, ∴ y + z = 30 …(2)
15x + 15z = 720, ∴ x + z = 48 …(3)
Solving (1), (2) & (3),
x = 27
y = 9
z = 21
Now, to calculate no of boxes painted –
Boxes painted = 4x + 8y + 8z
Boxes painted = 4×27 + 8×9 + 8×21
Boxes painted = 108 + 72 + 168
Boxes painted = 348 boxes