1
IIT-JEE 1982
MCQ (Single Correct Answer)
+2
-0.5
The value of the expression $$\,{}^{47}{C_4} + \sum\limits_{j = 1}^5 {^{52 - j}\,{C_3}} $$ is equal to
A
$${}^{47}{C_5}$$
B
$${}^{52}{C_5}$$
C
$${}^{52}{C_4}$$
D
none of these
2
IIT-JEE 1982
MCQ (Single Correct Answer)
+2
-0.5
The third term of a geometric progression is 4. The product of the first five terms is
A
43
B
45
C
44
D
none of these
3
IIT-JEE 1982
MCQ (Single Correct Answer)
+2
-0.5
If $$x,\,y$$ and $$z$$ are $$pth$$, $$qth$$ and $$rth$$ terms respectively of an A.P. and also of a G.P., then $${x^{y - z}}\,{y^{z - x}}\,{z^{x - y}}$$ is equal to :
A
$$xyz$$
B
$$0$$
C
$$1$$
D
None of these
4
IIT-JEE 1982
Subjective
+3
-0
Does there exist a geometric progression containing $$27, 8$$ and $$12$$ as three of its terms? If it exits, how many such progressions are possible ?
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