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A Fourth proportional to st^5, s^2t^3, s^3t^2(Where s, t are non zero) is

1. s
2. s^2
3. s^3
4. s^4

st^5, s^2t^3, s^3t^2 (जहां s, t गैर शून्य हैं) के लिए एक चौथा आनुपातिक है

1. s
2. s^2
3. s^3
4. s^4
This Question came in
UGC-NET-English-07-January-2025-Shift-2-Q20
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Detailed Explanation & Answer
fourth proportional to:

st⁵, s²t³, s³t²

Let the terms be:

A = st⁵
B = s²t³
C = s³t²
D = ?

In fourth proportion, the relation is:

A : B = C : D
So, D = (B × C) / A

Now plug in the values:

B × C = (s²t³) × (s³t²) = s⁵t⁵
A = st⁵

Now divide:

D = (s⁵t⁵) / (st⁵) = s⁴

So, the fourth proportional is s⁴

✅ Correct answer: 4. s⁴
चौथा आनुपातिक:

st⁵, s²t³, s³t²

पदों को इस प्रकार मान लें:

A = st⁵
B = s²t³
C = s³t²
D = ?

चौथे आनुपातिक में, संबंध है:

A : B = C : D
तो, D = (B × C) / A

अब मान डालें:

B × C = (s²t³) × (s³t²) = s⁵t⁵
A = st⁵

अब विभाजित करें:

D = (s⁵t⁵) / (st⁵) = s⁴

तो, चौथा आनुपातिक s⁴ है

✅ सही उत्तर: 4. s⁴
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