General Aptitude - Ratio and Proportion
Exam Duration: 45 Mins Total Questions : 30
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
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
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
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)
\(\frac { 3x+2y }{ 8x+5y } \)
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
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 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
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
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
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
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
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
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 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
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 weight 55 students in a class is 30kg. If 15 of the students whose average weight is 28 kg. leave the class. Find the average weight of the remaining students
- (a)
31.25 kg
- (b)
29.45 kg
- (c)
32.50 kg
- (d)
30.75 kg
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
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
What is the average of all numbers from 1 to 100 that end in 3?
- (a)
46
- (b)
46
- (c)
48
- (d)
47
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 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
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