There are 3 classes having 20, 24 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. The three classes are represented by A, B and C and you have the following information about the three classes.
a. In class A highest score is 22 and lowest score is 18
b. In class B highest score is 31 and lowest score is 23
c. In class C highest score is 33 and lowest score is 26.
If five students are transferred from A to B, what can be said about the average score of A; and what will happen to the average score of C in a transfer of 5 students from B to C?
Class A average is 20. And their range is 18 to 22 Class B average is 25. And their range is 23 to 31 Class A average is 30. And their range is 26 to 33
If 5 students transferred from A to B, A's average cannot be determined but B's average comes down as the highest score of A is less than lowest score of B.
If 5 students transferred from B to C, C's average cannot be determined the B's range fo marks and C's range of marks are overlapping.
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The cost price of a cow and a horse is Rs 3 lakhs. The cow is sold at 20% profit and the horse is sold at 10% loss. Overall gain is Rs 4200. What is the cost price of the cow?
1.2x + 0.9y = 304200
Solving for x = 114000 = CP of cow.
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If the price of petrol increases by 25% and Kelvin intends to spend only an additional 15%on petrol, by how much % will he reduce the quantity of petrol purchased?
Let the current price of unit quantity of petrol be x. New price=1.25x.
Let reduced quantity be y.
y*1.25x = 1.15x,
y=115/125=23/25
Reduction = 1 - 23/25 = 2/25 = 8%
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A team won 80% of the games if played. If played 5 more games of which if won 3 and lost 2. Its loss percentage changed by 25%. How many games did it played overall?
Game played = x
Then Lost Game = x/5
Now they played 5 more games in which they lost 2
so, (x+5)*25/100 = x/5 + 2
=> x=15
Total game played = 15+5 = 20
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On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?
35% of 30 = 25% of x + 1
35/100 * 30 = 25/100 * x + 1
7/20 * 30 = x/4 + 1
21/2 = x+4/4
21 = x+4/2
42=x+4
x = 38
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In a school the ratio of boys and girls are in the ration 5:6 .25% of boys will get scholar ship and 20% of girls will get scholar ship what % of students wont get scholarship?
Boys : Girls => 5x : 6x
Total no. of students including boys nd girls = 5x+6x = 11x
25% of boys => 5x*25/100 = 5x/4
20% of girls => 6x*20/100 =6x/5
No. of students who are getting scholarship => 5x/4 + 6x/5 = 49x/20
No. of students who are not getting scholarship = 11x - 49x/20 = 171x/20
% of students not getting scolorship => 171x/20/11x * 100
=> 100*171x/220x
= 77.7% ~ 78%
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A man walked diagonally across a square lot approximately what was the percent saved by not walking along the edges?
Let the sides of the square be a
When he walks along the edges distance covered is 2a and when he walks along the diagonal distance covered is sqrt(2a).
Percentage saved is (2a-_/2a)/2a *100%= 29.28% approx. 30%
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In a primary school, 10% of students are below 11 years of age. The number of students above 11 years of age is 3/4 of the number of students of 11 years of age which is 36. What is the total number of students in the school?
Acc. to the question the number of students of 11yrs age be 36
Then children above 11 yrs of age is 3/4&*36=27
And children below 11yrs of age be 10x/100 where x is the total number of students
So finally 10x/100+27+36=x
Solving we get x=70
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