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All questions of Ratio & Proportion for JAMB Exam
The ratio of the number of apples to oranges in a fruit basket is 2:3. If there are 10 apples in the basket, how many oranges are there?- a)5
- b)10
- c)15
- d)20
Correct answer is option 'C'. Can you explain this answer?
The ratio of the number of apples to oranges in a fruit basket is 2:3. If there are 10 apples in the basket, how many oranges are there?
a)
5
b)
10
c)
15
d)
20
|
Sun Ray Institute answered |
Let the number of oranges be 3x.
Then, 2x = 10.
Solving for x, we get x = 5.
The number of oranges is 3x = 3(5)
= 15.
Then, 2x = 10.
Solving for x, we get x = 5.
The number of oranges is 3x = 3(5)
= 15.
The ratio of the prices of two books is 3:5. If the price of the first book is ₦120, what is the price of the second book?- a)₦180
- b)₦200
- c)₦300
- d)₦500
Correct answer is option 'C'. Can you explain this answer?
The ratio of the prices of two books is 3:5. If the price of the first book is ₦120, what is the price of the second book?
a)
₦180
b)
₦200
c)
₦300
d)
₦500
|
|
Sun Ray Institute answered |
Let the price of the second book be 5x.
The price of the first book is 3x= ₦120.
Solving for x gives x = ₦40.
Therefore, the price of the second book is 5x = 5 x ₦40
= ₦200.
The price of the first book is 3x= ₦120.
Solving for x gives x = ₦40.
Therefore, the price of the second book is 5x = 5 x ₦40
= ₦200.
If 2x + 3y = 10 and x:y = 4:5, what is the value of x?- a)2
- b)4
- c)6
- d)8
Correct answer is option 'C'. Can you explain this answer?
If 2x + 3y = 10 and x:y = 4:5, what is the value of x?
a)
2
b)
4
c)
6
d)
8
|
|
Sun Ray Institute answered |
From x:y = 4:5, we can rewrite it as x/y = 4/5.
Substituting this value in the equation 2x + 3y = 10,
we get 2(4/5) + 3y = 10.
Solving this equation gives y = 2.
Substituting y = 2 in x/y = 4/5 gives x = 6.
Substituting this value in the equation 2x + 3y = 10,
we get 2(4/5) + 3y = 10.
Solving this equation gives y = 2.
Substituting y = 2 in x/y = 4/5 gives x = 6.
A recipe calls for 2 cups of flour and 3 cups of sugar. If you want to make 10 cups of the recipe, how many cups of sugar should you use?- a)3
- b)4
- c)5
- d)6
Correct answer is option 'D'. Can you explain this answer?
A recipe calls for 2 cups of flour and 3 cups of sugar. If you want to make 10 cups of the recipe, how many cups of sugar should you use?
a)
3
b)
4
c)
5
d)
6
|
|
Sun Ray Institute answered |
The ratio of cups of sugar to cups of flour is 3:2.
If you want to make 10 cups of the recipe, the number of cups of sugar needed is (10/2) x 3
= 15/2
= 7.5 cups.
Since you cannot have half cups, you should use 6 cups of sugar.
If you want to make 10 cups of the recipe, the number of cups of sugar needed is (10/2) x 3
= 15/2
= 7.5 cups.
Since you cannot have half cups, you should use 6 cups of sugar.
The ratio of the salaries of A, B, and C is 4:5:6. If the total of their salaries is ₦60,000, what is the salary of B?- a)₦12,000
- b)₦15,000
- c)₦18,000
- d)₦20,000
Correct answer is option 'A'. Can you explain this answer?
The ratio of the salaries of A, B, and C is 4:5:6. If the total of their salaries is ₦60,000, what is the salary of B?
a)
₦12,000
b)
₦15,000
c)
₦18,000
d)
₦20,000
|
|
Sun Ray Institute answered |
Let the ages of the three friends be 2x, 3x, and 5x.
The sum of their ages is 2x + 3x + 5x = 10x,
which is equal to 60 years.
Therefore, x = 6.
The age of the youngest friend is 2x = 2 x 6
= 12 years.
The sum of their ages is 2x + 3x + 5x = 10x,
which is equal to 60 years.
Therefore, x = 6.
The age of the youngest friend is 2x = 2 x 6
= 12 years.
If the ratio of the angles of a triangle is 1:2:3, what is the measure of the smallest angle?- a)20 degrees
- b)30 degrees
- c)40 degrees
- d)60 degrees
Correct answer is option 'B'. Can you explain this answer?
If the ratio of the angles of a triangle is 1:2:3, what is the measure of the smallest angle?
a)
20 degrees
b)
30 degrees
c)
40 degrees
d)
60 degrees
|
|
Sun Ray Institute answered |
Since the ratio of the angles is 1:2:3, the angles are x, 2x, and 3x.
The sum of the angles in a triangle is 180 degrees,
so x + 2x + 3x = 180.
Solving for x, we get x = 30.
The smallest angle is x = 30 degrees.
The sum of the angles in a triangle is 180 degrees,
so x + 2x + 3x = 180.
Solving for x, we get x = 30.
The smallest angle is x = 30 degrees.
The ratio of two numbers is 3:4. If their sum is 175, what is the larger number?- a)100
- b)120
- c)140
- d)160
Correct answer is option 'C'. Can you explain this answer?
The ratio of two numbers is 3:4. If their sum is 175, what is the larger number?
a)
100
b)
120
c)
140
d)
160
|
|
Sun Ray Institute answered |
Let the numbers be 3x and 4x.
The sum of the numbers is 7x, which is equal to 175.
Therefore, x = 25.
The larger number is 4x = 4 x 25 = 100.
The sum of the numbers is 7x, which is equal to 175.
Therefore, x = 25.
The larger number is 4x = 4 x 25 = 100.
If 4x + 5y = 20 and x:y = 2:3, what is the value of y?- a)2
- b)3
- c)4
- d)5
Correct answer is option 'B'. Can you explain this answer?
If 4x + 5y = 20 and x:y = 2:3, what is the value of y?
a)
2
b)
3
c)
4
d)
5
|
|
Sun Ray Institute answered |
From x:y = 2:3, we can rewrite it as x/y = 2/3.
Substituting this value in the equation 4x + 5y = 20,
we get 4x + 5(2/3) = 20.
Solving this equation gives x = 2.
Substituting x = 2 in x/y = 2/3 gives
= 3.
Substituting this value in the equation 4x + 5y = 20,
we get 4x + 5(2/3) = 20.
Solving this equation gives x = 2.
Substituting x = 2 in x/y = 2/3 gives
= 3.
The ratio of the salaries of A, B, and C is 4:5:6. If the total of their salaries is ₦60,000, what is the salary of B?- a)₦12,000
- b)₦15,000
- c)₦18,000
- d)₦20,000
Correct answer is option 'B'. Can you explain this answer?
The ratio of the salaries of A, B, and C is 4:5:6. If the total of their salaries is ₦60,000, what is the salary of B?
a)
₦12,000
b)
₦15,000
c)
₦18,000
d)
₦20,000
|
|
Sun Ray Institute answered |
Let the salaries of A, B, and C be 4x, 5x, and 6x, respectively.
The sum of their salaries is 4x + 5x + 6x
= 15x.
Given that 15x = ₦60,000, we can solve for x to find x = ₦4,000.
Therefore, the salary of B is 5x = 5 x ₦4,000
= ₦20,000.
The sum of their salaries is 4x + 5x + 6x
= 15x.
Given that 15x = ₦60,000, we can solve for x to find x = ₦4,000.
Therefore, the salary of B is 5x = 5 x ₦4,000
= ₦20,000.
The ratio of a father's age to his son's age is 5:1. If the sum of their ages is 72, how old is the son?- a)6
- b)12
- c)18
- d)24
Correct answer is option 'B'. Can you explain this answer?
The ratio of a father's age to his son's age is 5:1. If the sum of their ages is 72, how old is the son?
a)
6
b)
12
c)
18
d)
24
|
|
Sun Ray Institute answered |
Let the father's age be 5x and the son's age be x.
Then, 5x + x = 72.
Solving for x, we get x = 12.
The son's age is x = 12 years.
Then, 5x + x = 72.
Solving for x, we get x = 12.
The son's age is x = 12 years.
The ratio of the number of pages Jane read to the number of pages she has left to read is 3:5. If Jane has 40 pages left to read, how many pages did she read?- a)24
- b)27
- c)30
- d)32
Correct answer is option 'A'. Can you explain this answer?
The ratio of the number of pages Jane read to the number of pages she has left to read is 3:5. If Jane has 40 pages left to read, how many pages did she read?
a)
24
b)
27
c)
30
d)
32
|
|
Sun Ray Institute answered |
Let the number of pages Jane read be 3x and the number of pages she has left to read be 5x.
Then, 5x = 40.
Solving for x, we get x = 8.
The number of pages Jane read is 3x = 3(8) = 24.
Then, 5x = 40.
Solving for x, we get x = 8.
The number of pages Jane read is 3x = 3(8) = 24.
In a school, the ratio of boys to girls is 3:5. If there are 120 students in total, how many girls are there?- a)30
- b)40
- c)60
- d)80
Correct answer is option 'C'. Can you explain this answer?
In a school, the ratio of boys to girls is 3:5. If there are 120 students in total, how many girls are there?
a)
30
b)
40
c)
60
d)
80
|
|
Sun Ray Institute answered |
Let the number of boys be 3x and the number of girls be 5x.
The total number of students is 3x + 5x = 8x, which is equal to 120.
herefore, x = 15.
The number of girls is 5x = 5 x 15
= 75.
The total number of students is 3x + 5x = 8x, which is equal to 120.
herefore, x = 15.
The number of girls is 5x = 5 x 15
= 75.
If the ratio of the number of hours a student spends studying to the number of hours spent sleeping is 3:7, and the student spends 42 hours sleeping, how many hours does the student spend studying?- a)12
- b)18
- c)24
- d)30
Correct answer is option 'B'. Can you explain this answer?
If the ratio of the number of hours a student spends studying to the number of hours spent sleeping is 3:7, and the student spends 42 hours sleeping, how many hours does the student spend studying?
a)
12
b)
18
c)
24
d)
30
|
|
Sun Ray Institute answered |
Let the number of hours spent studying be 3x.
Then, 7x = 42.
Solving for x, we get x = 6.
The number of hours spent studying is 3x = 3(6)
= 18.
Then, 7x = 42.
Solving for x, we get x = 6.
The number of hours spent studying is 3x = 3(6)
= 18.
The ratio of the sides of two similar triangles is 2:5. If the area of the smaller triangle is 16 square units, what is the area of the larger triangle?- a)40 square units
- b)50 square units
- c)64 square units
- d)80 square units
Correct answer is option 'C'. Can you explain this answer?
The ratio of the sides of two similar triangles is 2:5. If the area of the smaller triangle is 16 square units, what is the area of the larger triangle?
a)
40 square units
b)
50 square units
c)
64 square units
d)
80 square units
|
|
Sun Ray Institute answered |
Since the ratio of the sides of the two similar triangles is 2:5, the ratio of their areas is (22):(52) = 4:25.
If the area of the smaller triangle is 16 square units, the area of the larger triangle is (25/4) * 16 = 100 square units.
If the area of the smaller triangle is 16 square units, the area of the larger triangle is (25/4) * 16 = 100 square units.
If the ratio of the lengths of two rectangles is 5:7, and the area of the smaller rectangle is 100 square units, what is the area of the larger rectangle?- a)140 square units
- b)175 square units
- c)200 square units
- d)245 square units
Correct answer is option 'D'. Can you explain this answer?
If the ratio of the lengths of two rectangles is 5:7, and the area of the smaller rectangle is 100 square units, what is the area of the larger rectangle?
a)
140 square units
b)
175 square units
c)
200 square units
d)
245 square units
|
|
Sun Ray Institute answered |
Let the length of the smaller rectangle be 5x, then the length of the larger rectangle is 7x.
The area of the smaller rectangle is 5x * width = 100. Therefore, 5x * width = 100.
So, the area of the larger rectangle is 7x * width
= (7x/5x) x 100
= 7 x 100
= 700 square units.
The area of the smaller rectangle is 5x * width = 100. Therefore, 5x * width = 100.
So, the area of the larger rectangle is 7x * width
= (7x/5x) x 100
= 7 x 100
= 700 square units.
The ratio of the number of pencils to the number of erasers in a box is 5:3. If there are 20 pencils in the box, how many erasers are there?- a)6
- b)8
- c)10
- d)12
Correct answer is option 'D'. Can you explain this answer?
The ratio of the number of pencils to the number of erasers in a box is 5:3. If there are 20 pencils in the box, how many erasers are there?
a)
6
b)
8
c)
10
d)
12
|
|
Sun Ray Institute answered |
Let the number of erasers be 3x.
Then, 5x = 20. Solving for x,
we get x = 4.
The number of erasers is 3x = 3(4)
= 12.
Then, 5x = 20. Solving for x,
we get x = 4.
The number of erasers is 3x = 3(4)
= 12.
The ratio of two numbers is 3:4. If their sum is 35, then what is the smaller number?- a)12
- b)15
- c)21
- d)28
Correct answer is option 'B'. Can you explain this answer?
The ratio of two numbers is 3:4. If their sum is 35, then what is the smaller number?
a)
12
b)
15
c)
21
d)
28
|
|
Sun Ray Institute answered |
Let the smaller number be 3x and the larger number be 4x.
Then, 3x + 4x = 35.
Solving for x, we get x = 5.
The smaller number is 3x = 3(5)
= 15.
Then, 3x + 4x = 35.
Solving for x, we get x = 5.
The smaller number is 3x = 3(5)
= 15.
The ratio of the number of boys to girls in a class is 3:4. If there are 28 students in the class, how many girls are in the class?- a)12
- b)14
- c)16
- d)18
Correct answer is option 'C'. Can you explain this answer?
The ratio of the number of boys to girls in a class is 3:4. If there are 28 students in the class, how many girls are in the class?
a)
12
b)
14
c)
16
d)
18
|
|
Sun Ray Institute answered |
Let the number of boys be 3x and the number of girls be 4x.
Then, 3x + 4x = 28.
Solving for x, we get x = 4.
The number of girls is 4x = 4(4) = 16.
Then, 3x + 4x = 28.
Solving for x, we get x = 4.
The number of girls is 4x = 4(4) = 16.
The ratio of the amount of money in a bank account at the beginning of the month to the amount at the end of the month is 4:5. If the amount of money in the account at the end of the month is ₦450, how much money was there at the beginning of the month?- a)₦360
- b)₦375
- c)₦390
- d)₦400
Correct answer is option 'A'. Can you explain this answer?
The ratio of the amount of money in a bank account at the beginning of the month to the amount at the end of the month is 4:5. If the amount of money in the account at the end of the month is ₦450, how much money was there at the beginning of the month?
a)
₦360
b)
₦375
c)
₦390
d)
₦400
|
|
Sun Ray Institute answered |
Let the amount of money at the beginning of the month be 4x and the amount at the end of the month be 5x. Then, 5x = ₦450.
Solving for x, we get x = ₦90.
The amount at the beginning of the month is 4x = 4(₦90)
= ₦360.
Solving for x, we get x = ₦90.
The amount at the beginning of the month is 4x = 4(₦90)
= ₦360.
If the ratio of the length to the width of a rectangle is 5:2, and the area of the rectangle is 560 square units, what is the length of the rectangle?- a)20 units
- b)40 units
- c)50 units
- d)25 units
Correct answer is option 'C'. Can you explain this answer?
If the ratio of the length to the width of a rectangle is 5:2, and the area of the rectangle is 560 square units, what is the length of the rectangle?
a)
20 units
b)
40 units
c)
50 units
d)
25 units
|
|
Sun Ray Institute answered |
Let the length be 5x and the width be 2x.
Area = length × width, so 560
= 5x × 2x.
Solving for x, we get x = 8.
The length is 5x = 5(8) = 40 units.
Area = length × width, so 560
= 5x × 2x.
Solving for x, we get x = 8.
The length is 5x = 5(8) = 40 units.
Chapter doubts & questions for Ratio & Proportion - Mathematics for JAMB 2025 is part of JAMB exam preparation. The chapters have been prepared according to the JAMB exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for JAMB 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Mathematics for JAMB
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