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 ratio 8125 : 36 is
- (a)
6
- (b)
27
- (c)
9
- (d)
81
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
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
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
Amit and Ankit have 3 and 5 pieces of bread respectively. They share their food with Arun, who pays them rs 32. If each of them got equal bread, find Amit's share.
- (a)
Rs 4
- (b)
Rs 28
- (c)
Rs 12
- (d)
Rs 24
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
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
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
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
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
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
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
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
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
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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