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
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
Rs 3420 are divided amon A , B and C in such a way that their shares may be in the ratio \(\frac { 1 }{ 2 } :\frac { 1 }{ 4 } :\frac { 1 }{ 5 } \) What share did C get?
- (a)
Rs 1800
- (b)
Rs 900
- (c)
Rs 720
- (d)
Rs 1400
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
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 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
The average number of first 10 natural number is
- (a)
4.8
- (b)
5.5
- (c)
3.6
- (d)
6.2
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 10 persons, 9 person spent Rs 40 each for their meals. The 10th one spent Rs 18 more than the average expenditure of all the 10. The total money spent by all of them is
- (a)
Rs 420
- (b)
Rs 235
- (c)
Rs 540
- (d)
Rs 350
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
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 income of 20 employees in an office is Rs 1800 per month. If one more employees is added the average salary becomes Rs 1810 per month. What is the monthly salary of the new employee?
- (a)
Rs 1840
- (b)
Rs 1960
- (c)
Rs 2010
- (d)
Rs 1980
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
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
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
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
The mean daily profit made by a shopkeeper in a month of 30 days was Rs 350. If the mean profit for the fifteen days was Rs 275, then the mean profit for the last fifteen days would be
- (a)
Rs 200
- (b)
Rs 350
- (c)
Rs 275
- (d)
Rs 475
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
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
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