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
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 triplicate ratio of 2x : 3y
- (a)
\({ 4x }^{ 2 }:{ 9y }^{ 2 }\)
- (b)
\({ 8x }^{ 3 }:{ 27y }^{ 3 }\)
- (c)
\({ 2x }^{ 2 }:{ 3y }^{ 2 }\)
- (d)
\({ 2x }^{ 3 }:{ 3y }^{ 3 }\)
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
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
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
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 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
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
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
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 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
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
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
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
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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