TNPSC Quantitative Aptitude - Ratio and Proportion
Exam Duration: 45 Mins Total Questions : 30
If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is :
- (a)
55 : 77 : 66
- (b)
30 : 42 : 77
- (c)
35 : 49 : 42
- (d)
None of these
If A : B = 3 : 4 and B : C = 8: 9, then A : C is :
- (a)
1 : 3
- (b)
3 : 2
- (c)
2 : 3
- (d)
1 : 2
If A : B = 2 : 3, B : C = 4 : 5 and C : C = 6 : 7, then A : B : C : D is :
- (a)
16 : 22 : 30 : 35
- (b)
16 : 24 : 15 : 35
- (c)
16 : 24 : 30 : 35
- (d)
18 : 24 : 30 : 35
If x : y = 5 : 2, then (8x + 9y) : (8x + 2y) is :
- (a)
22 : 29
- (b)
26 : 61
- (c)
29 : 22
- (d)
61 : 26
If 5x2 - 13xy + 6y2 = 0, then x : y is :
- (a)
(2 : 1) only
- (b)
(3 : 5) only
- (c)
(5 : 3) or (1 : 2)
- (d)
(3 : 5) or (2 : 1)
If \(\frac { a }{ 3 } =\frac { b }{ 4 } =\frac { c }{ 7 } \), then is equal to :
- (a)
7
- (b)
2
- (c)
\(\frac { 1 }{ 2 } \)
- (d)
\(\frac { 1 }{ 7 } \)
If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then the value of c is :
- (a)
6
- (b)
7
- (c)
8
- (d)
14
If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is :
- (a)
12
- (b)
15
- (c)
16
- (d)
19
Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ration 12 : 23. The smaller number is :
- (a)
27
- (b)
33
- (c)
49
- (d)
55
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's present salary ?
- (a)
Rs. 17,000
- (b)
Rs. 20,000
- (c)
Rs. 25,500
- (d)
None of these
The solution of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is :
- (a)
20
- (b)
30
- (c)
48
- (d)
58
A sum of Rs. 1300 is divided amongst P, Q, R and S such that \(\frac { P's\quad share }{ Q's\quad share } =\frac { Q's\quad share }{ R's\quad share } =\frac { R's\quad share }{ S's\quad share } =\frac { 2 }{ 3 } \). Then, P's share is :
- (a)
Rs. 140
- (b)
Rs. 160
- (c)
Rs. 240
- (d)
Rs. 320
A and B together have Rs. 1210. If \(\frac { 4 }{ 15 }\) of A's amount is equal to \(\frac { 2 }{ 5 }\) of B's amount, how much amount does B have ?
- (a)
Rs. 460
- (b)
Rs. 484
- (c)
Rs. 550
- (d)
Rs. 664
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :
- (a)
2 : 5
- (b)
3 : 5
- (c)
4 : 5
- (d)
6 : 7
Seats for Mathematics, Physics and Biology in a scholl are in the ratio 5 : 7 : 8. There is a proposal to increade these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
- (a)
2 : 3 : 4
- (b)
6 : 7 : 8
- (c)
6 : 8 : 9
- (d)
None of these
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?
- (a)
8 : 9
- (b)
17 : 18
- (c)
21 : 22
- (d)
Cannot be determined
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?
- (a)
2 : 5
- (b)
3 : 7
- (c)
5 : 3
- (d)
7 : 3
What lease number must be subtracted from each of the number 14, 17, 34 and 42 so that the remainders may be proportional ?
- (a)
0
- (b)
1
- (c)
2
- (d)
7
The mean proportional between 234 and 104 is :
- (a)
12
- (b)
39
- (c)
54
- (d)
None of these
The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is :
- (a)
2 : 1
- (b)
5 : 1
- (c)
7 : 15
- (d)
9 : 14
Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In wat ratio should these be mixed to get an alloy 15 times as heavy as water ?
- (a)
1 : 1
- (b)
2 : 3
- (c)
1 : 2
- (d)
3 : 2
85 kg of mixture contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing mild and wate in the 3 : 1 ?
- (a)
5 kg
- (b)
6.5 kg
- (c)
7.25 kg
- (d)
8 kg
The speeds of three cars are in the ratio 5 : 4 : 6. The ratio between the time taken by them to travel the same distance is :
- (a)
5 : 4 : 6
- (b)
6 : 4 : 5
- (c)
10 : 12 : 15
- (d)
12 : 15 : 10
The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students does not get the scholarship ?
- (a)
56
- (b)
70
- (c)
78
- (d)
80
In a school, 19% of the boys are same in number as \( \frac { 1 }{ 4 } \)th of the girls. What is the ratio of boys to girls in that school ?
- (a)
3 : 2
- (b)
5 : 2
- (c)
2 : 1
- (d)
4 : 3
If 10% of x = 20% of y, then x : y is equal to :
- (a)
1 : 2
- (b)
2 : 1
- (c)
5 : 1
- (d)
10 : 1
The ratio fo incomes of A and B is 5 : 4 and the ratio of their expeditures is 3 : 2. If at the end of the year, each saves Rs. 1600, then the income of A is :
- (a)
Rs. 3400
- (b)
Rs. 3600
- (c)
Rs. 4000
- (d)
Rs. 4400
Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been condumed in it ?
- (a)
58 kg
- (b)
60 kg
- (c)
64 kg
- (d)
70 kg
The compounded ratio of (2 : 3), (6, 11) and (11 : 2) is :
- (a)
1 : 2
- (b)
2 : 1
- (c)
11 : 24
- (d)
36 : 121
Which of the following ratios is greatest ?
- (a)
7 : 15
- (b)
15 : 23
- (c)
17 : 25
- (d)
21 : 29