Tip:A–D to answerE for explanationV for videoS to reveal answer
If the pth, qth, rth terms of a G.P. are x,y,z respectively, find the value of:xq−r⋅yr−p⋅zp−q=
- A.
0
- B.
1
(Correct Answer) - C.
2
- D.
3
Explanation
Smart Substitution (Shortcut for Competitive Exams)
Let's pick a simple G.P. series: 1,2,4.
First term (p=1): x=1
Second term (q=2): y=2
Third term (r=3): z=4
Substitute these simple values into the expression:
xq−r⋅yr−p⋅zp−q=(1)2−3⋅(2)3−1⋅(4)1−2
=(1)−1⋅(2)2⋅(4)−1
=1⋅4⋅41=1
Correct Answer
(b) 1
Explanation
Smart Substitution (Shortcut for Competitive Exams)
Let's pick a simple G.P. series: 1,2,4.
First term (p=1): x=1
Second term (q=2): y=2
Third term (r=3): z=4
Substitute these simple values into the expression:
xq−r⋅yr−p⋅zp−q=(1)2−3⋅(2)3−1⋅(4)1−2
=(1)−1⋅(2)2⋅(4)−1
=1⋅4⋅41=1
Correct Answer
(b) 1
