91Ó°ÊÓ

Find the common ratio of the G.P. whose first and last terms are 5 and \(\frac{32}{625}\) respectively and the sum of the G.P. is \(\frac{5187}{625}\) : (a) \(\frac{1}{5}\) (b) \(\frac{2}{5}\) (c) \(\frac{5}{3}\) (d) \(\frac{4}{5}\)

The sum of four consecutive terms in A.P. is 36 and the ratio of product of the first and fourth is to the product of the second and third is \(9: 10 .\) Find the largest of the numbers: (a) 9 (b) 10 (c) 8 (d) 12

How many terms are comimon in two arithmetic progression \(1,4,7,10 . \ldots\) upto 63 termis and \(3,7,11,15, \ldots\) upto 47 terms: (a) 12 (b) (c) 15 (d) none/of, these

The value of \(3^{1 / 3} \cdot 9^{1 / 18} \cdot 27^{1 / 81}\) (a) 3 (b) 9 (c) 27 (d) none of these

Three non-zero real numbers form an A.P. and the squares of these numbers taken in the same order form a G.P. Then the number of all possible common ratio of the G.P. is : (a) 1 (b) 2 (c) 3 (d) none of these

Find the sum to \(n\) terms of the series \(3+6+10+16+\ldots\) +... (a) \(\frac{n(n-1)}{2}-1\) (b) \(n(n+1)+2^{n}-1\) (c) \(n(n+2)+1\) (d) \(3(2 n+1)-2^{n}\)

38\. In a certain colony of cancerous cells, each cell divides int two every minute. How many cells will be produced from a single cell if the rate of division continues for 12 minutes: (a) 9180 (b) 8190 (c) 8910 (d) none of these