GATE General Aptitude - Ratio and Proportion
Exam Duration: 45 Mins Total Questions : 30
If A : B = 3 : 4 and B : C = 2 : 7, find A : B : C.
- (a)
4 : 3 : 14
- (b)
3 : 4 : 14
- (c)
14 : 4 : 3
- (d)
4 : 14 : 3
Find the duplicate ratio of \(\sqrt { 3x } :\sqrt { 5y } \)
- (a)
\({ 3x }^{ 2 }:{ 5y }^{ 2 }\)
- (b)
3x :5y
- (c)
\(\sqrt { 3x } :\sqrt { 5y } \)
- (d)
\(3\sqrt { x } :5\sqrt { x } \)
two numbers are in the ratio of 2 : 9. If 10 be added to each, they are in the ratio os 3 : 10. Find the numbers
- (a)
2 : 9
- (b)
6 : 27
- (c)
20 : 90
- (d)
8 : 36
If (x+y) : (y+z) : (z+x) = 4 : 6 : 5 and (x + y + z) = 15, then the value of z is
- (a)
5
- (b)
7
- (c)
3
- (d)
6
140 coins consists of 25p, 50p and re 1, their values being in the ratio of 5 : 8 : 20. Find the number of 25p coins.
- (a)
40 coins
- (b)
50 coins
- (c)
45 coins
- (d)
60 coins
In a class of 75 students the ratio of boys and girls is 2 : 3 How many more boys are to be added to make the ratio 1 : 1?
- (a)
15 boys
- (b)
30 boys
- (c)
12 boys
- (d)
24 boys
Amit and Ankit have 3 and 5 pieces of bread respectively. They share their food with Arun, who pays them rs 32. If each of them got equal bread, find Amit's share.
- (a)
Rs 4
- (b)
Rs 28
- (c)
Rs 12
- (d)
Rs 24
Seats of Physics, Chemistry and Mathematics in a school are in the ratio of 3 : 4 : 6. There is a proposal to increase these seats by 10% , 20% and 50% respectively. What will be the ratio of increased seats?
- (a)
11 : 16 : 30
- (b)
16 : 11 : 30
- (c)
16 : 12 : 15
- (d)
12 : 16 : 30
An amount of Rs 840 was divided between A, B and C. If each of them had received Rs 20 less, their shares would have been in the ratio 2 : 3 : 5. The money received by A was
- (a)
Rs 156
- (b)
Rs 176
- (c)
Rs 184
- (d)
Rs 193
A variable x varies directly as the cube of another variable y. If x = 4, y = 2, then find y, when x = 32.
- (a)
4
- (b)
2
- (c)
8
- (d)
1
Under sonstant temperature, the pressure of a definite mass of a gas varies inversely as the volume If the volume is reduced by 50% the pressure will be
- (a)
incresae by 100%
- (b)
increase by 25%
- (c)
decrease by 25%
- (d)
decrease by 50%
In a class of 60 students, the number of boys and girls partcipating in the annuaal sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class?
- (a)
20
- (b)
30
- (c)
25
- (d)
Data inadequate
The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50 , whereas the ratio of I and II class fares between the same station is 3 : 1. If on a particular day, Rs 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?
- (a)
Rs 750
- (b)
Rs 1000
- (c)
Rs 850
- (d)
Rs 1250
Three partners invested capital in the ratio 2 : 7 : 9. The time period for which each of them invested was in the ratio of the reciprocals of the amount invested. Find the share of the partner who brought in the highest capital, if profit is Rs 1080.
- (a)
Rs 120
- (b)
Rs 360
- (c)
Rs 540
- (d)
Rs 420
If a : b is 1 : 2 ; b : c is 3 : 5, c : d is 5 : 4 and e : d is 5 : 6, then a : b : c : d : e equals to
- (a)
3 : 6 : 10 : 8 : 7
- (b)
15 : 30 : 50 : 40 : 48
- (c)
1 : 2 : 3 : 4 : 5
- (d)
9 : 18 : 30 : 24 : 20
The average number of first 10 natural number is
- (a)
4.8
- (b)
5.5
- (c)
3.6
- (d)
6.2
The average of 11 results is 50. If the average of first 6 results is 49 and that of last 6 results is 52, find the sixth result
- (a)
64
- (b)
56
- (c)
48
- (d)
34
There are two classes I and II consisting of 42 and 52 students respectively. If the average weight of class I is 45 kg and that of class II is 40 kg. Find the average weight of all the students of class I and II.
- (a)
42.17kg
- (b)
41.25 kg
- (c)
43.50 kg
- (d)
39.75 kg
The average weight of three brothers is 68 kg. If their weights are in the ratio 3 : 4 : 5, the weight of the heaviest of thethree brothers is
- (a)
85 kg
- (b)
70 kg
- (c)
90 kg
- (d)
82 kg
Out of three numbers, the second number is twicww the first and also one third of the third number. If the average of the three numbers is 54. Find the second number.
- (a)
36
- (b)
18
- (c)
108
- (d)
56
A man travels from destination of A to B by car to an average speed of 48 km/h and returns on his bike with an average speed of 16 km/h. Find his average speed for the entire journey.
- (a)
36 km/h
- (b)
24 km/h
- (c)
32 km/h
- (d)
21 km/h
The average temperature of the first three days of the week is 25oC and that of the next three days is 27oC If the average of the whole week is 26.5oC the temperature of the last day of the week is
- (a)
31.5oC
- (b)
29.5oC
- (c)
21oC
- (d)
27.5oC
A batsman has a certain average of runs for 14th innings. He scores 72 runs in the 15th innings thus his average increased by 2. Find the average after 15th innings.
- (a)
44
- (b)
46
- (c)
42
- (d)
48
The average mark obtained by 80 students in a certain examination is 28. If the average mark of the students who have passed is 40 and that of those who have failed is 25, how many students failed the examination?
- (a)
64
- (b)
24
- (c)
16
- (d)
38
If the total sales for a business in a certain year were Rs 132000. What were the sales in June, if june sales were half the monthly average?
- (a)
Rs 8400
- (b)
Rs 7200
- (c)
Rs 5500
- (d)
Rs 6300
The average monthly salary of 11 workers and one officer in an organisation is Rs 600. When the officer whose salary was Rs 1600 per month retired, a new officer was appointed and the average salary of the 12 employees is Rs 570 per month. The salary of the new officer is
- (a)
Rs 1260
- (b)
Rs 1240
- (c)
Rs 1220
- (d)
Rs 1280
There were 35 students in a hostel. If the number of students increase by 7, the expenses of the mess increase by Rs 42 per day while the average expenditure per head diminishes by 1. Find the original expenditur of the mess.
- (a)
Rs 480
- (b)
Rs 520
- (c)
Rs 420
- (d)
Rs 460
The average marks of a student in 8 subjects are 7. Of these, the heighest marks are 2 more than the one next in value. If these two subjects are eliminated, the average marks of the remaining subjects are 85. What are the highest marks now obtained by him?
- (a)
89
- (b)
94
- (c)
91
- (d)
96
If 6 yr are subtracted from the present age of Randheer and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 yr younger to Mahesh whose age is 5 Yr, whai is the age of Randheer?
- (a)
84 yr
- (b)
48 yr
- (c)
60 yr
- (d)
96 yr
The total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expenses per boarder is Rs 700 when there are 25 boarders and 600 when there are 50 boarders. What is the average expense per boarders when there are 100 boarders?
- (a)
Rs 550
- (b)
Rs 580
- (c)
Rs 540
- (d)
Rs 570