PERCENTAGE AND ITS APPLICATION
1) If 15% of 40 is greater than 25% of a number by 2, then what is the number?
2) rajnish scored 62% in English, 80% in mathematics and 56% social science. If the maximum marks in these subjects were 50, 100 and 75 respectively, find her aggregate persentage.
3) 40% passengers from a train got down at station A. 60% of the remaining passengers got down at station B. If there were still 540 passengers in the train, how many passengers were there before station A, provided no one boarded the train at station A and station B?
4) Two fifth of one third of three seventh of a number is 15, what is the 40% of the number ?
5) Three candidates contested in an election and received 1136, 7636, 11628 votes respectively. What percentage of total votes did the winning candidate get ?
6) The price of a car is Rs325000. It was insured to 80% of the price. The car damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
7) A student has to obtain 33% marks of the total marks to pass. He has got 125 marks and failed by 40 marks. Find the maximum marks.
8) A man spends 35% of his income on food. 25% on children's education and 80% of the remaining on house rent. What percent of his income is left with hum?
9) A student 30% marks and failed by 15 marks. B scored 60% marks and obtained 35 marks more than those required to pass. What is the pass percentage ?
10) The sum of the number of boys and girls in a school is 150. If the number of boys is x then the number of girls becomes x% of the total number of students . Find the total number of boys in the school.
11) The population of a town increases by 8% annually. If the present population is 54000. What was it a year ago?
12) An alloy contains 40% copper, 32% nickel and rest zinc. Find the mass of zinc in one kg of the alloy
TEST PAPER
Section - A (1x5=5)
1) Find the value of (8⁹-8⁷)/8⁶
a) 504 b) 505 c) 508 d) 501
2) Find the range of 29,39,19,7,9,14,78,76,97,12
a) 12 b) 31 c) 4 d) none
3) Two coins are tossed simultaneously. Find the probability of getting two heads.
a) 1/2 b) 4 c) 1/4 d) 2
4) A dice is thrown twice. The total outcome are
a) 2 b) 4 c) 6 d) 8
5) Which of the following is not a linear equation:
a) x + y -2=0
b) 2x + 5 = 11
c) 4x² -15=0
d) 2/x =9
Section B (3x 9=27)
6) Solve: (2ⁿ x 3ⁿ + 2ⁿ⁺¹ x 3ⁿ⁺¹)/(2ⁿ⁺² x 3ⁿ⁺² + 2ⁿ⁺¹ x 3ⁿ⁺³)
7) Find n so that (2/5)³ x (2/5)⁻⁸= (2/5)²ⁿ⁻¹
8) Numbers 1 to 10 are written on 10 separate slips and kept in a box and mixed up well. One slip is chosen from the box without looking into it. Find the probability of
a) getting a number 5
b) getting a number less than 8
c) getting a number greater than 7
d) getting a two digit number.
9) A letter is chosen from the word EQUATION. Find the probability that the letter is a constant
10) A bag contains 8 white balls. 5 green balls and 7 balls. They are mixed thoroughly and one ball is drawn random. Find the probability of getting
a) red ball
b) a green ball
c) a yellow ball
d) a white ball rolling
11) (7y +4)/(y +2) = -4/3
12) (3y -1)/4 + (2y +3)/3 = (1- 7y)/6
13) {5(y +12) - 17(2- y)}/(7y -1) = 8
14) Read the table carefully and answer the following questions:
Marks. Students
10-20 7
20-30 12
30-40 19
40-50 11
50-60 21
60-70 10
70-80 8
80-90 02
90-100 10
If the passing marks in the test is 30, then
a) How many students have failed in the examination?
b) If A⁺ is awarded to students with 90 marks, how many students have achieved A⁺ marks?
c) How many students have passed the examination?
d) If student getting 60 or more is declared 1st division then find the number of students who have been put in 1st division.
15) The data shows India's total population (in millions) from 1951 to 2011. Represent the given data by bar graph.
Years. Population
1951 360
1961 432
1971 540
1981 684
1991 852
2001 1020
2011 1210
1) If ξ be a universal set and other sets are defined as follows:
A={1,2,3,4,5}, B={2,3,5,8}, C={1,3,5,7,9} and ξ={1,2,3,....,9} Then find
a) A'
b) B'
c) (A ∩ B)'
c) C'
d) A' ∩ B'
2) For the given set,
A={1,2,3}, B={2,3, 4,5}, C={1,3,5,7}, D={2,6,7,8} Show
a) A U B
b) A ∩B = B ∩ A
c) (A U B)
3) A retailer loss 8% by selling a camera for Rs12800. At what price should he sell it in order to gain 8%?
4) If selling price of 40 articles is equal to cost price of 50 article, find the loss or gain percent.
5) P sells an article to Q at 10% profit. Q sells it to R at 25% profit. If R pay Rs250 for it, what did P pay for it ?
6) Mohan bought a watch for Rs1100 and sold it at the profit of Rs125. Find the SP.
7) The difference between the SP and CP of an article is Rs210. If the profit percent is 23, then what is its selling price.
8) An item when sold for Rs1169 earned 40% profit on the CP. What is its CP.
9) If the ratio of CP and SP is 5:6, find gaun%.
10) The perimeter of a rectangular cardboard is 96cm; if it's breadth is 18cm, find the length and the area of the cardboard.
11) The area of a square plot is 484cm². Find the length of its one side and the length of its diagonal.
13) The perimeter of a rectangular plot is 120m. If the length of the plot is twice its width, find the area of the plot
14) How many square tiles of side 20cm will be needed to pave a footpath which is 2 metres wide and surrounds a rectangular plot 40m long and 22m wide.
15) The following are the ages(in years) of 10 teachers in a school: 32,28,54, 41,38,40,23,33,26,35.
16) The points scored by a kabaddi team in a series of matches are as follows: 7,17,2,5,27,15,8,14,10,48,10,7,24,8,28,18.
Find the mean and median of the points scored by the kabaddi team.
17) If the numbers 3,6,7,10, x, 15,19,20,25,28 are in ascending order and their median is 13, find the value of x
18) Given below are the marks obtained by 27 students in a test:
21,3,28,38,6,40,20,26,9,8,14,18,20,16,17, 10,8,5,22,27,34,2,35,31,16,28,37.
a) Using the class intervals 1-10, 11-20, etc. constuct a frequency table.
b) State the range of these marks
c) State the class mark of these marks
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