Mathematics - Ratio and Proportion
Exam Duration: 45 Mins Total Questions : 30
Identify the ratio of 4 seconds and \(\frac { 1 }{ 4 } \) minute from the following
- (a)
4:15
- (b)
1:4
- (c)
15:4
- (d)
1:16
Find the mean proportion of 25: 10: : 10: 4.
- (a)
25
- (b)
10
- (c)
4
- (d)
100
The first,third and the fourth terms of a proportion are 6, 12 and 36. What is the second term?
- (a)
12
- (b)
18
- (c)
16
- (d)
108
What are the middle terms of a proportion called?
- (a)
Antecedents
- (b)
Means
- (c)
Extremes
- (d)
Consequents
A ratio is a method of comparing two quantities by
- (a)
addition
- (b)
subtraction
- (c)
division
- (d)
multiplication
Unless there is a change in the given statements,which of the following cannot be done?
- (a)
Doubling the antecedent
- (b)
Interchanging the antecedent and the consequent
- (c)
Halving the consequent
- (d)
All the above
How is a proportionality symbol read as?
- (a)
is to
- (b)
equal to
- (c)
is as to
- (d)
is not to
In a class there are 50 boys and 30 girls. Which of the following is the ratio of the number of boys to the number of girls in the class
- (a)
80: 50
- (b)
3: 5
- (c)
5: 3
- (d)
50: 80
If Rs.60 is divided into two parts in the ratio 1 : 3, then find the difference between those two parts
- (a)
Rs.10
- (b)
Rs.30
- (c)
Rs.5
- (d)
Rs.90
There are 1800 students in a school. 800 chose football. 750 chose basket ball and the remaining did not choose any game.A student can choose only one game.If a student can choose only one game, find the ratio of number of students who chose basket ball to the number of students who chose foot ball.
- (a)
5:16
- (b)
16:15
- (c)
16:3
- (d)
15:16
There are 1800 students in a school. 800 chose football. 750 chose basket ball and the remaining did not choose any game.A student can choose only one game.Find the ratio of number of students who chose football and the number of students who did not choose any game.
- (a)
16:5
- (b)
16:20
- (c)
16:15
- (d)
800:250
The middle terms, if four different numbers are in proportion are called _________.
- (a)
Antecedents
- (b)
Means
- (c)
Extremes
- (d)
Consequents
If 60 is divided into two parts in the ratio 2 : 3, then the difference between those two parts is __________.
- (a)
10
- (b)
12
- (c)
5
- (d)
18
If p : q : : r : s, then the correct statement is ________.
- (a)
qr = ps
- (b)
pqr = s
- (c)
qrs = p
- (d)
pq = rs
If \(\boxed{}\) persons: 10 persons = 7000 paise : Rs 100, then \(\boxed{}\) means _______.
- (a)
5
- (b)
6
- (c)
7
- (d)
8
Which of the following ratios is equal to 13 : 4 in its simplest form?
- (a)
18 : 8
- (b)
105 : 36
- (c)
91: 28
- (d)
144 : 250
Ratio of shaded part to unshaded part is ________.
- (a)
1 : 4
- (b)
1 : 3
- (c)
1 : 2
- (d)
2 : 3
If x : y = 4 : 5, then (4x + 5y) : (5x - 2y) is equal to __________.
- (a)
41 : 10
- (b)
4 : 5
- (c)
16 : 25
- (d)
3 : 10
In the word COMPARISON, the ratio of number of consonants to the number of vowels is __________.
- (a)
4 : 7
- (b)
7 : 4
- (c)
6 : 4
- (d)
4 : 6
The ratio of the volume of water in Bottle P to the volume of water in Bottle Q is 3 : 4. Rajeev drank 40 mL of the water from Bottle P and the ratio then became 13 : 20. How much water was there in bottle P at first?
- (a)
60 mL
- (b)
80 mL
- (c)
300 mL
- (d)
400 mL
Cost of 4 dozen of bananas is Rs 60. The number of bananas purchased for Rs 22.50 will be _________.
- (a)
12
- (b)
18
- (c)
10
- (d)
14
Divide Rs 3010 among A, B, C respectively in such a way that A gets double of what B gets and B gets double of what C gets.
- (a)
Rs 1720, Rs 860, Rs 430
- (b)
Rs 1640, Rs 920 , Rs 450
- (c)
Rs 1690, Rs 825 , Rs 495
- (d)
Rs 1800, Rs 400 , Rs 810
A sum of Rs 3690 is divided among P, Q, Rand S such that \(\frac{P's share}{Q's share}=\frac{Q's share }{R's share}=\frac{R's share}{S's share}=\frac{4}{5}\).
Then, Q's share is _________.
- (a)
Rs 1250
- (b)
Rs 1000
- (c)
Rs 640
- (d)
Rs 800
If a : b = c : d, then (ma + nc) : (mb + nd) is equal to __________.
- (a)
m : n
- (b)
na : mb
- (c)
a : b
- (d)
md : nc
Match the following.
Column-I | Column-II | ||
---|---|---|---|
(P) | The first term of a ratio is called | (i) | proportion |
(Q) | An equality of two ratios is called | (ii) | antecedent |
(R) | A ratio whose terms have no common factor other than 1 is said to be in the |
(iii) | simplest form |
- (a)
(P) ⟶ (ii); (Q) ⟶ (i); (R) ⟶ (iii)
- (b)
(P) ⟶ (i); (Q) ⟶ (iii); (R) ⟶ (ii)
- (c)
(P) ⟶ (iii); (Q)⟶ (i); (R)⟶ (ii)
- (d)
(P) ⟶ (ii); (Q)⟶ (iii); (R)⟶ (i)
Divya bought 8 dozen apples. Out of these 8 were rotten. The ratio of rotten apples to the total number of apples is ______________
- (a)
1: 2
- (b)
8: 8
- (c)
1: 12
- (d)
2: 6
Find the ratio of the price of coffee to that of tea, when coffee costs Rs 24 per 100 gm and tea costs Rs 80 per kg.
- (a)
3: 1
- (b)
6: 20
- (c)
3: 6
- (d)
3: 10
If the cost of 25 packets of 12 pencils each is Rs 750 then the cost of 30 packets of 8 pencils each is
- (a)
600
- (b)
640
- (c)
720
- (d)
none of these
Dev has 125 sweets. He went to divide them in the ratio of 2 : 1 : 2 among his three friends, Ashu, Sonu and Monu respectively. How many sweets will Ashu get?
- (a)
25 sweets
- (b)
40 sweets
- (c)
50 sweets
- (d)
35 sweets
In the word MATHEMATICS the ratio of number of consonants to the number of vowels is _____________
- (a)
4: 7
- (b)
7:4
- (c)
5:6
- (d)
6:5