## Percentage Quiz-1

Maths is an important subject in CLAT,DULLB & Other Law Exams. In any of law exam, Maths carries weightage of 20 -25 % of questions. With focused practice good marks can be fetched from this section. These questions are very important in achieving your success in CLAT, DULLB and Other Law Exams..

Q1. Two numbers are less than a third number by 30% and 37% respectively. How much percent is the second number of the first?
•  70%
•  40%
•  30%
•  90%
Solution
3rd no = x, 1st no = (1 - 0.30)x = 0.7x
2nd no = (1 - 0.37)x = 0.63x
=2nd/1st = 0.63x / 0.7x   = 0.9 = 90%

Q2.The population of a village is 5000 and it increases at the rate of 2% every year. After 2 years, the population will be:
•  5108
•  5200
•  5202
•  5300
Solution
5000 (1.02)2 = new population = 5202

Q3. Out of a number of electronics items, a person purchases 60% coloured TV 5% of these were found to be defective. The percentage of defective TVs in all is:
•  3%
•  6%
•  9%
•  10%
Solution
% Defective TV
(no. of tv X defective) / total  = 60% x 5% = 3%

Q4. The price of an item is increased by 20% and then decreased by 20%. The final price as compared to the original price is:

•  20% less
• 20% more
• 4% more
•  4% less
Solution
Let initial price be 100, Increasing price by 20%, the new price = 120%
Decreasing the price by 20% then the new price

= 120% x 80% = 96%           Ãž 4% less

Q5.In an examination of the candidates failed in English, 42% in Mathematics and 17% in both. The number of those who passed in both the subjects is:

•  83%
•  23%
•  64%
•  55.5%
Solution
English                                   Math
(52)                                         (42)
35        17        25

Failed in at least one = 25 + 35 + 17 = 77

Passed in both = 100 - 77 = 23%

Q6. Two candidates fought an election. One got 65% of the votes and won by 300 votes. The total number of votes polled is
•  600
•  800
• 1000
•  1200
Solution
Winning margin = 300 = Won - Loss
= 65% - 35% = 30%
Hence total votes = 300/(30%) =1000

Q7.When 40% of a number is added to 42, the result is the number itself. The number is:
•  82
•  105
•  70
•  72
Solution
Let number be n

0.4n + 42 = n Ãž n = 70
Q8. The radius of a circle is increased by 200%. The area of circle will be increased by:
•  200%
•  400%
•  800%
•  1600%
Solution
Old radius = r; Old area = pr2
New radius = r(1 + 2) = 3r
New area = p(3r)2 = 97pr2
Increasein area% ={(9pr2 -pr2)/ pr2)}
= 800%

Q9. In an examination 37% students fail in English. 20% fail in Mathematics and 6% fail in both. 245 pass, total students are:

•  400
•  500
• 1200
•  none of these
Solution
Students failing in at least 1
= 37% + 20% - 6% = 51%
Students who passed both = 245 = (100 - 51)x = 49%
Hence total students = 245/49% = 500

Q10. To increase a number by 40%, it must be divided by

•  5/7
•  7/5
•  2/5
•  5/2
Solution
Increase a no. by 40% = 140%

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