Ratio and Proportion
1. An amount of money is to be divided among P, Q and R in the ratio of 3 : 5 : 7 respectively. If the amount received by R is Rs 4000 more than the amount received by Q, what will be the total amount received by P and Q together?
(1) Rs 8000
(2) Rs 12000
(3) Rs 16000
(4) Cannot be determined
(5) None of these
2. When 30% of one number is subtracted from another number the second number reduces to its four-fifth. What is the ratio between the first and the second number respectively?
(1) 4 : 7
(2) 3 : 2
(3) 2 : 5
(4) Cannot be determined
(5) None of these
3. Twice the square of a number is six times the other number. What is the ratio of the first number to the second?
(1) 1 : 4
(2) 2 : 5
(3) 1 : 3
(4) Cannot be determined
(5) None of these
4. A sum of money is divided among A, B, C and D in the ratio of 3 : 4 : 9 : 10. If the share of C is Rs 2580 more than the share of B. What is the total amount of money f A and D together?
(1) Rs 5676
(2) Rs 6192
(3) Rs 6708
(4) Rs 7224
(5) None of these
5. 75% of a number is equal to four-fifths of another number. What is the ratio between the first number and the second number?
(1) 5 : 3
(2) 15 : 16
(3) 3 : 5
(4) 16 : 15
(5) None of these
6. If the positions of the digits of a two-digit number are interchanged, the number obtained is smaller than the original number by 27. If t he digits of t he new number are in the ratio 1 : 2. What is the original number?
(1) 36
(2) 63
(3) 48
(4) Cannot be determined
(5) None of these
7. The ratio of Rani’s age of Komal’s age is 3 : 5. The ratio of Komal’s age to Pooja’s age is 2 : 3. If Rani’s age is two-fifth of Pooja’s age. What is Rani’s age?
(1) 10 yr
(2) 15 yr
(3) 24 yr
(4) Cannot be determined
(5) None of these
8. 20 boys and 25 girls from a group of social workers. During their membership drive, the same number of boys and girls joined the group (ie, if 7 boys joined, 7 girls joined). How many members does the group have now, if the ratio of boys to girls is 7 : 8?
(1) 75
(2) 65
(3) 70
(4) 60
(5) None of these
9. A sum of money is divided among A, B, C and D in the ratio of 2 : 3 : 7 : 11. If the share of C is Rs 2755 more than the share of A, then what is the total amount of money of B and D together?
(1) Rs 4408
(2) Rs 5510
(3) Rs 6612
(4) Rs 7714
(5) None of these
10. A sum of money is divided among A, B, C and D in the ratio of 5 : 8 : 9 : 11. If the share of B is Rs 2475 more money of A and C together?
(1) Rs 9900
(2) Rs 11550
(3) Rs 10725
(4) Rs 9075
(5) None of these
11. Seema and Meena divide a sum of Rs 2500 in the ratio of 3 : 2 respectively. If Rs 500 is added to each of their share, what would be the new ratio formed?
(1) 2 : 3
(2) 3 : 4
(3) 5 : 4
(4) 4 : 3
(5) None of these
12. One-fourth of 60% of a number is equal to two-fifth of 20% of another number. What is the ratio of the first number to the second?
(1) 14 : 7
(2) 8 : 13
(3) 5 : 9
(4) Cannot be determined
(5) None of these
13. The ratio of length of breadth of a rectangular plot is 8 : 5 respectively. If the breadth is 60 m less than the length, what is the perimeter of the rectangular plot?
(1) 260 m
(2) 1600 m
(3) 500 m
(4) Cannot be determined
(5) None of these
14. The ratio of the number of students studying in schools A, B and C is 6 : 8 : 7 respectively. If the number of students studying in each of the schools is increased by 20%, 15% and 20% respectively, what will be the new ratio of the number of students in school A, B and C?
(1) 18 : 23: 21
(2) 12 : 18 : 1
(3) 18 : 21 : 17
(4) Cannot be determined
(5) None of these
15. A sum of money is divided among A, B, C and D in the ratio of 3 : 5 : 7 : 11. If the share of C is Rs 1668 more than the share of A, then what is the total amount of money of B and D together?
(1) Rs 6762
(2) Rs 6672
(3) Rs 7506
(4) Rs 6255
(5) None of these
16. The ratio of earnings of A and B is 14 : 5. If the earnings of A increase by 20% and the earnings of B decrease by 20%, the new ratio of their earnings becomes 6 : 5. What is A’s earnings?
(1) Rs 22000
(2) Rs 27500
(3) Rs 26400
(4) Cannot be determined
(5) None of these
17. A sum of money is divided among W, X, Y and Z in the ratio of 3 : 7 : 9 : 13. If the share of W and Y together is Rs 11172, then what is the difference between the amounts of X and Z?
(1) Rs 7672
(2) Rs 6834
(3) Rs 5586
(4) Cannot be determined
(5) None of these
18. Amit, Sumit and Vinit divide an amount of Rs 2800 amongst themselves in the ratio of 5 : 6 : 3 respectively. If an amount of Rs 200 is added to each of their shares, what will be the new ratio of their shares of the amount?
(1) 8 : 9 : 6
(2) 6 : 7 : 4
(3) 7 : 8 : 5
(4) 4 : 5 : 2
(5) None of these
19. The total number of students studying in a school is 6754. The ratio of the total number of girls to the total number of boys studying in the school is 5 : 6. What is the total number of boys studying in the school?
(1) 3070
(2) 3592
(3) 3090
(4) 3684
(5) None of these
20. Three-fifth of a number is equal to 85% of another number. What is the ratio of the first number to second?
(1) 12 : 7
(2) 12 : 17
(3) 7 : 12
(4) 17 : 12
(5) None of these
21. A sum of money is divided among A, B, C and D in the ratio of 3 : 5 : 8 : 9 respectively. If the share of D is Rs 1872 more than the share of A, then what is the total amount of money of B and C together?
(1) Rs 4156
(2) Rs 4165
(3) Rs 4056
(4) Rs 4065
(5) None of these
22. When 20% of a number is added to another number the number increases by 50%. What is the ratio of the first number to the second?
(1) 3 : 2
(2) 2 : 3
(3) 5 : 2
(4) Cannot be determined
(5) None of these
23. In a school, the ratio of boys to girls is 4 : 5. When 100 girls leave the schools the ratio becomes 6 : 7. How many boys are there in the school?
(1) 1600
(2) 1500
(3) 1300
(4) Cannot be determined
(5) None of the above
24. 20 boys and 32 girls form a group for social work. During their membership drive same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 3 : 4 respectively?
(1) 75
(2) 86
(3) 68
(4) 82
(5) None of these
25. If ab = 36, which of the following proportions is correct?
(1) 9 : a = 4 : b
(2) a : 18 = b : 3
(3) a : 6 = b : 6
(4) a : 9 = 4 : b
(5) None of these
Directions (Q. Nos. 26 to 30) In each of the following questions, a question followed by two statements numbered A and B are given. You have to read both statements and then given answer
(1) if the data given in statement A alone are sufficient to answer the question whereas the data given in statement B alone are not sufficient to answer the question.
(2) if the data given in statement B alone are sufficient to answer the question whereas the data given in statement A alone are not sufficient to answer the question
(3) if the data in either statement A alone or in statement B alone are sufficient to answer the question
(4) if the data in both the statement A and B are not sufficient to answer the question
(5) if the data given in both the statement A and B necessary to answer the question
26. What is the ratio between two numbers x and y?
A. 40% of x is 20% of 50.
B. 30% of y is 25% of 72.
27. What is the ratio of the total number of girls to the total number of boys in a college?
A. There are 2500 students in the college out of which 40% are boys.
B. The ratio of the total number of boys to the total number of girls year was 5 : 6.
28. What is the ratio of the total number of males to the total number of females in an organization?
A. There are 5000 employees in the organization out of which 40% are males.
B. The ratio of the total number males to the total number of females in the last year was 7 : .
29. What is the ratio of the number of freshers to that of seniors in a college?
A. The ratio of males and females in the college is 2 : 3.
B. There are 1125 female freshers in the college.
30. What is the ratio of the total number of girls to the total number of boys in school?
A. The ratio of the total number of boys to the total number of girls last year was 4 : 5.
B. There are 3500 students in the school out of which 60% are boys.
Latest Govt Job & Exam Updates: