Maths Quiz 12/2/2016

#everydayquiz Welcomes YOU.    #solve Daily #Questions:21     time limit: 20 minutes 


Directions : From a class total 360 students appeared in an exam. Three fourth of these are boys. 40 % boys failed in the exam, two third of the girls are failed in the exam and remaining passed :

1.What is the ratio of the total number of girls to the number of boys who failed in the exam ?
1) 4 : 9 
2) 9 : 5 
3) 5 : 6 
4) 6 : 3 
5) None of these


2.What is the sum of the number of boys who failed and number of girls who passed in the exam ?
1) 148 
2) 158 
3) 128 
4) 138 
5) None of these

3.What is the difference between the number of boys who are passed and number of girls who are failed ?
1) 102 
2) 202 
3) 52 
4) 302 
5) None of these

4.What is the ratio of the total number of boys and girls who are passed to the number of boys and girls who are failed ?
1) 7 : 8 
2) 8 : 7 
3) 9 : 17 
4) 5 : 7 
5) None of these

5. Total number of boys passed is approximately what percent of total number of girls in the class ?
1) 60 % 
2) 120 % 
3) 150 % 
4) 180 % 
5) 270 %

Direction: A bag contains 4 red, 5 brown and 6 white balls. Three balls are drawn randomly :

6.What is the probability that balls drawn contains exactly two red balls ?
1) 54/145
2) 66/455
3) 46/105
4) 31/455
5) None of these

7.What is the probability that the balls drawn contains no brown ball ?
I) 11/65
2) 31/91
3) 24/91
4) 31/455
5) None of these

8.What is the probability that the balls drawn are not of the same colour ?
1) 34/455
2) 31/105
3) 74/105
4) 421/455
5) None of these

9. If two balls are drawn randomly then what is the probability that both the balls are of same colour ?
1) 31/105
2) 74/105
3) 34/455
4) 421/455
5) None of these

10.What is the probability that the three balls drawn are of different colour ?
1) 21/91
2) 31/105
3) 24/105
4) 24/91
5) None of these




ANSWERS:


1. 3
Ratio = 90/108 = 5/6

2. 4
Sum = 108 + 30 = 138

3. 1
Diff = 162 - 60 = 102

4. 2
Ratio = 192/168 = 8/7

5. 4
Req% = 162/90 * 100 = 180%

6. 2
n(S) = 15C3 = (15 * 14 * 13)/6 = 455
2 red balls can be selected in 4c2 = 6 ways
And remaining one ball can be selected in 11C1 = 11 ways
P(E) = (6 * 11)/455 = 66/455

7. 3
n(S) = 15C3 = 455

Three balls have to be selected from 4 red and 6 white balls
No. of ways = 10C3 = 120
P(E) = 120/455 = 24/91

8. 4
n(S) =15C3 = 455

If all three ball are of same colour, number of ways
= 4C3 + 5C3 + 6C3 = 4 + 10 + 20 = 34
P(E) = 34/455
For being different colour P(E) = 1 - 34/455 = 421/455

9. 1
n(S) = 15C2 = 105
n(e) = 4C2 + 5C2 + 6C2 = 6 + 10 + 15 = 31
P(E) = 31/105

10. 4
n(S) = 15C3 = 455
n(E) = 4C1 + 5C1 + 6C1 = 4 * 5 * 6 = 120
P(E) = 120/455 = 24/91






Direction : Study the following graph carefully and answer the questions below :
Total Sales of Hindi and English newspaper in five different localities of a city : 




1.What is the difference between the total sale of Hindi newspaper and the total sale of English newspaper in all the localities together ?
1) 4000
2) 5000
3) 3000
4) 2500
5) None of these

2. The sale of Hindi newspaper in locality P is approximately what percent of the total sale of Hindi newspaper in all the localities together ?
1) 20 %
2) 15 %
3) 18 %
4) 24 %
5) None of these

3.What is the ratio of the sale of Hindi newspaper in locality R to the sale of English newspaper in locality T ?
1) 12 : 7
2) 11 : 7
3) 7 : 12
4) 8 : 12
5) None of these

4. The sale of English and Hindi newspaper is locality P is what percent of the sale of English and Hindi newspaper in locality S ?
1) 220
2) 125
3) 120
4) 135
5) None of these

5.What is the total sale of English newspaper in all the localities together ?
1) 22000
2) 20000
3) 25000
4) 21000
5) None of these

6.What is the average sale of English and Hindi newspaper in locality R and S ?
1) 9000
2) 14000
3) 12000
4) 8000
5) None of these

Direction: Study the following information carefully and answer the question given below it :

Percentage proportion of income of seven companies in a state during financial year – 2013 – 14 :




7. If the expenditure of company D is 750 crore, what was the total income of all the given companies together ?
1) Rs. 4135 crore
2) Rs. 4115 crore
3) Rs. 4125 crore
4) Rs. 4025 crore
5) None of these

8. If in the given financial year income of company A was 440 crore. What was the approximately expenditure of company C in that year ?
1) Rs. 45 crore
2) Rs. 55 crore
3) Rs. 46 crore
4) Rs. 35 crore
5) None of these

9.What is the ratio of the expenditure of company D to company C ?
1) 80 : 11
2) 11 : 80
3) 12 : 70
4) 70 : 12
5) None of these

10. If the difference between the income of company F and company A is Rs. 750 crore, what is the expenditure of both the companies together ?
1) Rs. 6400 crore
2) Rs. 7400 crore
3) Rs. 8400 crore
4) Rs. 5400 crore
5) None of these

11.Which of the following companies has recorded the maximum profit in this financial year if the combined income of these companies is Rs. 4500 crore ?
1) A
2) B
3) F
4) C
5) None of these

12. If the income of company D and B together is Rs. 270 crore then fined the profit of company B in that year ?
1) Rs. 14.25 crore
2) Rs. 15.5 crore
3) Rs. 11.75 crore
4) Rs. 12.5 crore
5) None of these




Answers:

1. 3
2300 - 20000 = 3000

2. 4
5500/23000 * 100 = 23.91%

3. 1
6000/3500 = 12/7 = 12:7

4. 3
9000/7500 * 100 = 120

5. 2

6. 4
(8500 + 7500)/2 = 16000/2 = 8000

7. 3
20% * 100/110 * total = 750
Total = 4125

8. 2
20% = 440
1% = 440/20 = 22
3% = 66 crore
exp = 66 * 100/120 = 55 crore

9. 1

10. 4
5% = 750
1% = 150
(45*150)/125 * 100 = 5400 crore

11. 3

12. 3
(20% + 10%) = 270
10% = 90
Ib = 90
Eb = (90*100)/115 = 78.26
Pb = 11.739


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