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
The order of a leaf node in a B+ tree is the maximum number of (value, data recoed pointer) pairs it can hold. Given that the block size in 1 Kbytes, data record pointer is 7 nytes long, the value field is 9 byte long and a block pointer is 6 bytes long, what is the order of the leaf node?
- (a)
63
- (b)
64
- (c)
67
- (d)
68
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
Find the duplicate ratio of \(\sqrt { 3x } :\sqrt { 5y } \)
- (a)
\({ 3x }^{ 2 }:{ 5y }^{ 2 }\)
- (b)
3x :5y
- (c)
\(\sqrt { 3x } :\sqrt { 5y } \)
- (d)
\(3\sqrt { x } :5\sqrt { x } \)
Find the triplicate ratio of 2x : 3y
- (a)
\({ 4x }^{ 2 }:{ 9y }^{ 2 }\)
- (b)
\({ 8x }^{ 3 }:{ 27y }^{ 3 }\)
- (c)
\({ 2x }^{ 2 }:{ 3y }^{ 2 }\)
- (d)
\({ 2x }^{ 3 }:{ 3y }^{ 3 }\)
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
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
Two vessels of equal volume contain milk and water in the ratio of 5 : 3 and x : y respectively. If the contents are mixed into a bigger vessel, then the ratio of milk to water in the resulting solution is
- (a)
\(\frac { 13x+15y }{ 3x+11y } \)
- (b)
\(\frac { 13x+15y }{ 11x+3y } \)
- (c)
\(\frac { 3x+2y }{ 5x+8y } \)
- (d)
\(\frac { 3x+2y }{ 8x+5y } \)
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
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
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
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 numerator and denominator of a rational number are in the ratio 7 : 8. If 10 is subtracted from numerator and denominator, the resulting rational number is \(\frac { 2 }{ 3 } \). The numerator of the original number is
- (a)
12
- (b)
14
- (c)
16
- (d)
18
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
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
12 yr ago, the average age of a husband and a wife was 20 yr. The average remains the same today, when they have two children. what is the present age of the youngest child, if they differ in age by 2 yr?
- (a)
12 yr
- (b)
9 yr
- (c)
11 yr
- (d)
7 yr
The average of 100 numbers is 50. It is found that while calculating the average, two numbers, namely 81 and 66 were wrongly read as 18 and 6. The correct average is
- (a)
51.23
- (b)
41.45
- (c)
36.42
- (d)
52.46
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
There are 70 students in a hostel. If 14 students increased, then the total expenditure increased by Rs 84 but the average expenditure decreased by Rs 2. Find the total expenditure originally.
- (a)
Rs 1260
- (b)
Rs 1120
- (c)
Rs 1080
- (d)
Rs 1220
A company employed 600 men and 400 women. Their average wage was Rs 68 per day. If a woman gets Rs 30 less than a man, what is the average wage of a woman?
- (a)
Rs 50
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 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