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?
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Ques:- The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime is
A. 17
B. 29
C. 37
D. 53
Recent Answer : :
b
Ques:- You are given a cake; one of its corner is broken. How will u cut the rest into Two equal parts?
Recent Answer : :
Slice the cake
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Ques:- Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Recent Answer : :
2:3:4
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Ques:- A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one directionand the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely.The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hareincrease its speed so as to tie the race?
Recent Answer : :
1/4, 1/8
4*8=32
32-4=28
28-8=20
28*20/(4^2)=35.00
Ques:- One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
Recent Answer : :
1/x+1/3x=1/36
4/3x=1/36
36*4=3x
X=48
So the slower pipe alone fill the tank in 48 minutes.
Ques:- Convert 251 decimal to base 8(i.e. octal)?
Recent Answer : :
373
Ques:- How should a profit of Rs.450 be divided between two partners, one of whom has contributed Rs.1200 for 5 months and the other Rs.750 for 4 months?
A. 1 : 1
B. 1 : 2
C. 1 : 3
D. 2 : 1
Recent Answer : :
1200*5 : 750*4
6000:3000
2:1
Ques:- For a motorist there are three ways going from City A to City C. By way of bridge the distance is 20 miles and toll is $0.75. A tunnel between the two cities is a distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for each…
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Ques:- If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
Recent Answer : :
If discount is 25%
Profit 25%
If discount10%
Profit?
Suppose 100rs is price
25% discount make it 75
25%profit that means 75×100/125=60
Cp is 60
10 % discount make sp 90 profit is 30%
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Ques:- A person needs 6 steps to cover a distance of one slab. If he increases his foot length (step length) by 3 inches, he needs only 5 steps to cover the slabs length. What is the length of the each slab
Recent Answer : :
90 inches
Slab = 6(x) where x is each step
Slab = 5(x + 3)
6(x) = 5(x + 3)
6(x) = 5(x) + 15
x = 15 inches
So 6(x) = 6(15) = 90
Check: 5( x + 3) = 5(18) = 90
Slab size is 90 inches
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.