General Aptitude - Ratio and Proportion
Exam Duration: 45 Mins Total Questions : 30
The ratio 8125 : 36 is
- (a)
6
- (b)
27
- (c)
9
- (d)
81
Consider the following relational schemas for a library database :
Book (Title, Author, Catalog_no, Publisher, Year, Price)
Collection (Title, Author, Catalog_no)
with in the following functional dependencies
1. Title Author\(\rightarrow \) Catalog_no
2. Catalog_no\(\rightarrow \) Title Author Publisher Year
3. Publisher Title Year\(\rightarrow \) Price
Assume {Author, Title} is the key of both schemes.
Which of the following statement is true?
- (a)
Both Book and Collection are in BCNF
- (b)
Both Book and Collection are in 3 NF only
- (c)
Book is in 2 NF and Collection is in 3NF
- (d)
Both Book and Collection are in 2 NF only
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
Which of the following ratios is the greatest ; 4 : 5, 3 : 7 and 1 : 9?
- (a)
3 : 7
- (b)
4 : 5
- (c)
1 : 9
- (d)
2 : 5
2 bananas and 3 apples cost as much as 1 banana and 4 apples. The ratio of the cost of 1 banana to the cost of 1 apple is
- (a)
2 : 1
- (b)
1 : 2
- (c)
1 : 1
- (d)
2 : 3
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
Rs 900 is divided in three parts such that half the first part, one third of the second part and one fourth of the third part shall be equal. Find the second part.
- (a)
Rs 100
- (b)
Rs 200
- (c)
Rs 300
- (d)
Rs 400
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
25 L of a mixture contains milk and water in the ratio of 4 : 1. If 5 L of the mixture be replaced by 5 L of milk, the ratio of milk to water in the new mixture would be
- (a)
7 : 20
- (b)
20 : 7
- (c)
21 : 4
- (d)
4 : 21
The expenses per month of a man's car are partly constant and partly vary with the nymber of kilometers he travels in that month. When he travels 100 km a month, the total expenses come to Rs 3200. If he travels 15 km, it is Rs 3800. Find the total expenses, If he travels 200 km a month.
- (a)
Rs 6400
- (b)
Rs 4400
- (c)
Rs 4800
- (d)
Rs 6200
A varies inversely as x3 and dirctly as y. When x = 2, y = 40 and A = 5. Find A, when x = 3 and y = 81
- (a)
6
- (b)
3
- (c)
5
- (d)
7
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%
The reststance of a wire varies directly as its length and inversely as the ares of cross-section. The resistance is 1\(\Omega \), when the length is 50 mm and the cross-sectional are 0.25mm2. Find the resistance when the cross-sectional area is 0.5 mm2 and the length of the wire is 200 mm.
- (a)
2\(\Omega \)
- (b)
1.2\(\Omega \)
- (c)
0.2\(\Omega \)
- (d)
0.12\(\Omega \)
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
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
A pure contains some two-rupee coins, one rupee coins and 50 paise coins in the ratio of their denomination (that is, 2 : 1 : 1/2). If the total money in the purse is Rs 210, then the number of one-rupee coins in the purse is
- (a)
100
- (b)
60
- (c)
50
- (d)
40
A batsman scored an average of 12 runs in 7 innings in a cricket match. He played one more innings and the average, then became 14. The runs he scored in the last innings are
- (a)
34
- (b)
28
- (c)
18
- (d)
24
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 A, B, C is 48 kg. If the average weight of A and B be 45 kg and that of B and C be 50 kg. Find the weight of B.
- (a)
44 kg
- (b)
54 kg
- (c)
46 kg
- (d)
56 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 weight of 5 persons is decreased by 2 kg when one of the men whose weight is 50 kg is replaced by a new man. The weight of thw new man ia
- (a)
40 kg
- (b)
45 kg
- (c)
42 kg
- (d)
48 kg
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
The average of three numbers is 52. The first is half of second is twice the third. The difference between the second and first number is
- (a)
78
- (b)
39
- (c)
72
- (d)
33
One half- of a certain distance is covered at 40 km/h, one-third of it at 80 km/h and the rest at 12 km/h. Find the average speed for the whole journey.
- (a)
\(51\frac { 1 }{ 13 } \) km/h
- (b)
\(55\frac { 1 }{ 13 } \) km/h
- (c)
\(52\frac { 1 }{ 13 } \) km/h
- (d)
\(56\frac { 2}{ 13 } \)km/h
What is the average of all numbers from 1 to 100 that end in 3?
- (a)
46
- (b)
46
- (c)
48
- (d)
47
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 captian of a football team of 11 players is 25 yr old and the goalkeeper is 3 yr older to him. If the ages of these two are excluded, the average age of the remainning players is 1 yr less than the average age of the whole team. what is the average age of the whole team?
- (a)
22.5 yr
- (b)
23.5 yr
- (c)
22 yr
- (d)
25 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
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