RATIO AND PROPORTION MCQS
Ratio and Proportion MCQs
چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- 16
- 8
- 9
- None of these
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Explanation
The mean proportional of two numbers is the square root of their product.
Mean proportional = √(4 × 16) = √64 = 8
- 3 : 2
- 3 : 1
- 2 : 1
- 6 : 7
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Explanation
We are given:
12 men + 16 boys complete the work in 5 days
13 men + 24 boys complete the work in 4 days
We need to find the ratio of the daily work done by a man to that of a boy.
Step 1: Let M be work done by 1 man in 1 day and B be work done by 1 boy in 1 day
5(12M+16B)=1
4(13M+24B)=1
Step 2: Convert to equations
12M+16B=⅕
4(13M + 24B) = 1
Step 3: Solve for M and B
Multiply first equation by 4:
48M+64B=⅘
Multiply second equation by 5:
65M+120B=5/4
Convert fractions:
4/5=0.8,5/4=1.25
Solving simultaneously:
Using elimination: Multiply (48M + 64B = 0.8) by 5:
240M+320B=4240M + 320B = 4240M+320B=4
Multiply (65M + 120B = 1.25) by 4:
(260M+480B)- (240M + 320B) =5-4
20M + 160 b = 1
Dividing by 20:
M+8B=1/20M
Substituting M = 2B from Question 69:
2B+8B=1/20
10B=20/1
B=1/200B
M=2×1/200=2/200=1/100M
Thus, ratio M:B = 2:1.
- 10:11
- 9:10
- 11:10
- None of these
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Explanation
To find the ratio between their ages, we need to convert their ages to a common unit (months):
Ashraf's age:
15 years × 12 months/year = 180 months
- 10 months = 190 months
Akmal's age:
17 years × 12 months/year = 204 months
- 5 months = 209 months
Now, find the ratio:
Ashraf's age : Akmal's age = 190 : 209
Simplify the ratio:
190 ÷ 19 = 10
209 ÷ 19 = 11
So, the ratio is:
10 : 11
- 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 long
- Frame width: 2 inches = 2 /12=1 /6feet
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 =
- Total length =
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=16/63Thus, 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⇒5x=50⇒x=10
Thus, the smaller number is:
2x=2×10=20
