A rational number which is 50 times its own logarithm to the base 10, is

(b) Explain rational number in your own words.

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

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\ a n d(log)_(1/2)4 is larger than (log)_(1/2)8. Identify the correct order: (log)_3 8 (log)_3 8 > log_3 6 (log)_2 6 > log_3 6 (log)_4 6 < log_3 6

Write the following rational numbers in the decimal form and find out the block of repeating digits in the quotient. 10/13

A two digit number is four times the sum and three times the product of its digits. Find the number.

The sum of a two digit number and the number formed by interchanging its digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of digits in the first number. Find the first number.

If 100 times the 100th term of an AP with non-zero common difference equals the 50 times its 50th term, then the 150th term of this AP is

A wire increase by 10 ^(-6) times its original length when a stress of 10 ^(8) Nm ^(-2) is applied to it, calculate its Young's modulus.

Find the depth of lake at which density of water is 1% greater than that at the surface. Given compressibility k= 50 xx10^(-6) atm^(-1) .

A cone with its height equal to the diameter of the base is expanding in volume at the rate of 50 cm^(3)//sec . If the base has area 1 m^(2) , the radius is increasing at the rate ……….