Comprehension 3: If `P` is the non negative characteristic of `(log)_(10)N ,` the number of significant digit in `N` i s `P+1` . If ` P` is the negative characteristic of `(log)_(10)N ,` then number of zeros after decimal before a significant digit start are `P-1`.
(Use `log_(10) 2=0. 301,log)_(10)3=0. 4771`) Number of significant digit in `N`, where `N=(5/3)^(100),` is-
a.`23`
b. `22`
c.`21`
d. none

Comprehension 3 : If P is the non negative characteristic of (log)_(10)N , the number of significant digit in N is P+1 . If P is the negative characteristic of (log)_(10)N , then number of zeros after decimal before a significant digit start are P-1 ( Use log_(10) 2=0. 301.(log)_(10)3=0. 4771 ) Number of zeros after decimal before a significant digit start in N , where N=((81)/(16))^(-25)i s- a. 16 b. 17 c.18 d. 19

The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. 2 b. 0 c. 1 d. none of these

If log_(10)2=0.3010 ,\ log_(10)3=0.4771. Find the number of integers in : (a) 5^(200) (b) 6^(15) & the number of zeros after the decimal in 3^(-100)

The total number of five-digit numbers of different digits in which the digit in the middle is the largest is a. sum_(n=4)^9^n P_4 b. 33(3!) c. 30(3!) d. none of these

Let 'L' denotes the antilog of 0.4 to the base 1024. and 'M' denotes the number of digits in 6^(10) (Given log,02-03 and 'N' denotes the number of positive integers which have the characteristic 2, when base of the logarithm is 6. Find the value of LMN

Write the denominator of the following rational numbers in 2^(n)5^(m) form where n and m are non-negative integers and then write them in their decimal form 3/4

The Henry's law constant for the solubility of N_(2) gas in water at 298K is 1.0 xx 10^(5) atm. The mole fraction of N_(2) in air is 0.8 . The number of moles of N_(2) from air dissolved in 10 moles of water at 298K and 5 atm pressure is

If x ,y >0,(log)_y x+(log)_x y=(10)/3 and x y=144 , then (x+y)/2=sqrt(N) where N is a natural number, find the value of N .

Comprehension 2: In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8 and (log)_(1/2)4 is larger than (log)_(1/2)8 and (log)_(2/3)5/6 is- a. less than zero b. greater than zero and less than one c. greater than one d. none of these

Let T_n be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If T_(n+1)-T_n=""10 , then the value of n is (1) 5 (2) 10 (3) 8 (4) 7