RATIO AND PROPORTION MCQS
Ratio and Proportion MCQs
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
2000
2200
3200
3600
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Explanation
Total = 11 + 5 = 16
Then 11-5 =6
6x =1200
= 1200/ 6
x = 200
Total amount = 16 x 200
= 3200
11/63
13/63
16/63
None of these
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Explanation
Given:
Portrait dimensions: 7 feet wide × 9 feet longFrame width: 2 inches = 2 /1 2 = 1
Step 1: Find the area of the portrait (without frame) Area = 7 × 9 = 63 square feet Step 2: Find the total dimensions including the frame Since the frame is on all sides:
Total width = 7 + 2 ( 1 6 ) × 2 = 7 + 2 3 = 21 3 + 2 3 = 23 3 7 + 2left(frac{1}{6}right) times 2 = 7 + frac{2}{3} = frac{21}{3} + frac{2}{3} = frac{23}{3} Total length = 9 + 2 ( 1 6 ) × 2 = 9 + 2 3 = 27 3 + 2 3 = 29 3
Step 3: Find the total area including the frame Total area = 23 /3 × 29 /3 = 667.9 = 74.11 square feet Step 4: Find the area of the frame Area of frame = Total area − Portrait area = 74.11 − 63 = 11.11 square feet Step 5: Find the ratio of the frame area to the portrait area Ratio = Area of frame. Area of portrait = 11.11/63 = 16/63 Thus, the correct answer is (c) 16/63 .
1:5
1:4
2:5
None of these
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Explanation
400 meters = 0.4 km, and 2 kilometers = 2.0 km. The ratio 0.4:2 simplifies to 1:5.
20
15
12.5
None of these
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Explanation
The ratio of the sides is 3:5, so let's assume the sides are 3x and 5x.
The perimeter of a rectangle is the sum of all its sides:
Perimeter = 2(Length + Width)
= 2(3x + 5x)
= 2(8x)
= 16x
Given that the perimeter is 40:
16x = 40
Divide both sides by 16:
x = 2.5
Now that we have x, we can find the length of the longer side (5x):
Length of longer side = 5x
= 5(2.5)
= 12.5
3:3
3:4
3:2
None of these
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Explanation
To find the ratio of girls to all children:
Number of girls = 24
Total number of children = 8 (boys) + 24 (girls) = 32
Ratio of girls to all children = 24/32 = 3/4
1000
2000
3000
5000
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Explanation
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively
Then, 4x - 3x = 1000
⇒ x = 1000
∴ B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000
30
25
20
10
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Explanation
For the second question, let the two numbers be 3x and 2x . The sum is given as 50, so:
3x + 2x = 50 quad Rightarrow quad 5x = 50 quad Rightarrow quad x = 10 3 x + 2 x = 50 ⇒ 5 x = 50 ⇒ x = 10
Thus, the smaller number is:
2 x = 2 × 10 = 20
12
14
16
18
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Explanation
The ratio of boys to girls is given as 3:4, and the total number of students in the class is 28.
Step 1: Add the parts of the ratio 3 + 4 = 7 Step 2: Calculate the value of one part Each part of the ratio represents:
text{Value of one part} = frac{text{Total students}}{text{Sum of ratio parts}} = frac{28}{7} = 4 Value of one part = Total students/ Sum of ratio parts = 28 /7= 4 Step 3: Find the number of boys The boys' share is 3 parts, so:
text{Number of boys} = 3 times 4 = 12 Number of boys = 3 × 4 = 12
153600
152500
151400
None of these
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Explanation
1. The ratio of length to breadth is 3:2. Let's assume the length is 3x and the breadth is 2x. 2. The perimeter of the rectangular park is 2(3x + 2x) = 10x. 3. The man completes one round in 8 minutes at a speed of 12 km/hr. Convert the speed to meters per minute:
12 km/hr = 12,000 m/60 min = 200 m/min
1. The distance covered in 8 minutes is:
200 m/min × 8 min = 1600 m 153,600 sq. m
3:7
3:4
1:3
None of these
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Explanation
Given:
3/4 of the police employees are not graduates.
This means:
1/4 of the police employees are graduates.
To find the ratio of graduates to non-graduate employees:
Graduates : Non-graduates = 1/4 : 3/4
Simplify the ratio:
Graduates : Non-graduates = 1 : 3
