Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
If a:b=3:2 and b:c=4:5, then a:b:c=?
3:4:5
6:4:5
4:5:3
6:5:4
6:4:5
To find a:b:c when a:b and b:c are given, make the middle term 'b' common by taking the LCM of the two values of b or by multiplying the ratios directly.
a : b = 3 : 2 and b : c = 4 : 5
a:b:c=(a├Чb1тАЛ):(b├Чb1тАЛ):(b2тАЛ├Чc)
To find a:b:c when a:b and b:c are given, make the middle term 'b' common by taking the LCM of the two values of b or by multiplying the ratios directly.
Multiplying the terms directly without aligning the common variable 'b' to the same numerical value.
Step 1: Write the given ratios
We are given a:b=3:2 and b:c=4:5. The common term between both ratios is 'b'.
a:b=3:2,b:c=4:5
Step 2: Equate the common term 'b
In the first ratio, b=2. In the second ratio, b=4. To make b equal, multiply the entire first ratio by 2.
a:b=(3├Ч2):(2├Ч2)=6:4
Step 3: Combine the ratios
Now that b is equal to 4 in both expressions, we can combine them directly to form a:b:c.
a:b:c=6:4:5
Option B is correct because combining the ratios a:b=3:2 and b:c=4:5 yields 6:4:5.
This fundamental ratio-merging technique is widely used in partnership, mixture, and alligation problems in quantitative aptitude.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants