Fractions
Fraction is a number representing part of a whole. The whole may be a single object or a group of objects.
Fraction has a Top Number (Numerators) & Bottom Number (Denominators)
JRF Question Fractions
1. Which two fraction are equivalent?
A. 5/3 and 2/3 B. 4/3 and 8/6
C. 1/ 4 and 2/4 D. 2/3 and 1/3
2. It takes Julia 1/2 hour to wash, comb her hair and put on her clothes, and 1/4 hour to have her breakfast. How much
time does it take Julia to be ready for school?
A. 3/4 B. 4/3
C. 1/ 4 D. 2/4
3. Billy ate 1 1/4 pizzas and john ate 1 2/3 pizzas. How much more pizza did john eat than Billy?
A) 2/3 B) 5/12
C) 1/4 D) 7/12
Rules --: any question of fractions –
First --: convert into Simple Fraction
Second --: L.C.M
Third--: Check Option answer
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Ratio
1. If 0.50: X:: 15:18,Then X is equal to
A. 0.5 B. 1.6
C. 0.6 D. 1.30
2. The ratio of as salary to Bs was 4: 5. As salary is increased by 10% and Bs by 20%, what is the ratio of their
salaries now?
A. 13:11 B. 10:14
C.12:13 D. None
3. A′s salary is first increased by 25% and then decreased by 20%. The result is the same as B's salary increased by
20% and then reduced by 25%. Find the ratio of B′s salary to that of A′s?
A.4:3 B. 10.11
C.10:9 D. 12:11
5. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to
increase these seats by 40%, 50%, and 75% respectively. What will be the ratio of increased seats?
A.5:7:8 B. 11:12:13
C.15:21:28 D. 3:4:5
7. In a college, the ratio of the number of boys to girls is 8: 5. If there are 160 girls, the total number of
students in the college is?
A.52 B.104
C.416 D.None
8.the weight of A and B in the ration 4:5 and eight of B and C are ration 8:6 , what is B’s weight in kg if the sum
of weight of A:b:C is 203 KG?
A.84 B.82
C.83 D.85
9. A mixture contains alcohol and water in the ratio 4:3. If 5litres of water is added to the mixture, the ratio
becomes 4:5. Find the quantity of alcohol in the given mixture.
A.5 litres B.7.5 litres
C.10 litres D.12 litres
10. Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4:5 find
the numbers.
Therefore the numbers are 40 and 48.
11. Two number are in the ratio 3:7. If 8 is added to both numbers their ration become 5:9. The number is –
A. 12, 28 B. 6, 24
C.15, 35 D.24, 56
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12. The ratio of two numbers a and b is 3:7. After adding 9 to each number the ratio becomes 9:17. The
number a and b are
A. 6, 14 B. 9, 24
C.15, 35 D. 18, 42
Percentage
1. A household Incurs a certain expenditure on the consumption of a commodity in a given month. If
the price of the commodity is decreased by 20% and its consumption is increased by 20%, what will
be the net percent increase or decrease in the expenditure of the household?
1.2% 2.4%
3.8% 4.10%
2. The salary of Hamid was reduced by 10%. By what percent should his salary be raised to bring it
back to his original salary?
1. 10% 2. 11%
3. 11 1/7 % 4. 11 1/9 %
3. If x and y are two positive numbers and x is 25% greater than y, what is the value of the ratio y/x?
1. 0.75 2. 0.80
3. 1.20 4. 1.25
4. 5% of the inhabitants of a village having died of malaria, a panic set in. During this, 20% of the
remaining inhabitants left the village. The population is then reduced to 4750. Find the number of
original inhabitants?
1. 5000 2. 5250
3. 6250 4. 7500
5. 40% of the students like Mathematics, 50% like English and 10% like both Mathematics and
English. What % of the students like neither English nor Mathematics?
A.25% B..10%
C.20% D. 60%
6. During one year, the population of a town increased by 5% and during the next year, the
population decreased by 5% If the total population is 9975 at the end of the second year, then what
was the population size in the beginning of the first year?
A.10 000 B..15000
C.20000 D. 25000
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7. Mita’s income is 25% more than of Sita. What percent Sita’s income less than that of Mita?
A.25% B..10%
C.20% D. 24%
8. In an examination 80% candidates passed in English and 85% candidates passed in Mathematics. If 73% candidates
passed in both these subjects, then what per cent of candidates failed in both the subjects?
A. 8 B. 15
C. 27 D. 35
Answer: O Students passed in English = 80%
Students passed in Math's = 85%
Students passed in both subjects = 73%
Then, number of students passed in at least one subject
= (80+85)-73
= 92%.
Thus, students failed in both subjects = 100-92 = 8%.ption A
9. In an examination 80 candidates passed in English, 60% passed in math, 5% failed in both subjects. If 135 candidates
passed in both, the total number of candidates was
A. 200 B. 400
C. 300 D. 500
10. A student has to score 40% marks to pass the exam . He got 178 Marks and failed by 22
marks . Find the maximum number of Marks
A. 240 B. 200
C. 150 D. 300
