Units Digit of 6n − 5n for Any Natural Number n Video Explanation Watch the video below for a clear explanation: Solution Question: If n is any natural number, then 6n − 5n always ends with: (a) 1    (b) 3    (c) 5    (d) 7 Step 1: Observe the Units Digit Pattern The […]

Divisibility of 92n − 42n for Natural Number n Video Explanation Watch the video below for a clear explanation: Solution Question: If n is a natural number, then 92n − 42n is always divisible by: (a) 5    (b) 13    (c) both 5 and 13    (d) None of these Step 1: Rewrite the

Smallest Rational Number to Be Multiplied with 1/3 for One Decimal Place Video Explanation Watch the video below for a clear explanation: Solution Question: The smallest rational number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal. Step 1: Requirement for One Decimal Place A decimal that

Smallest Number to Be Multiplied with √27 to Get a Rational Number Video Explanation Watch the video below for a clear explanation: Solution Question: The smallest number by which √27 should be multiplied so as to get a rational number is: (a) √27    (b) 3√3    (c) √3    (d) 3 Step 1: Simplify

3.27̅ Is a Rational Number Video Explanation Watch the video below for a clear explanation: Solution Question: 3.27̅ is: (a) an integer    (b) a rational number    (c) a natural number    (d) an irrational number Key Concept A non-terminating repeating (recurring) decimal always represents a rational number. Explanation The given number 3.27̅ means

Least Prime Factor of a + b When Least Prime Factors of a and b Are Given Video Explanation Watch the video below for a clear explanation: Solution Question: If 3 is the least prime factor of number a and 7 is the least prime factor of number b, then the least prime factor of

Which Rational Numbers Have Terminating Decimal Expansions? Video Explanation Watch the video below for a clear explanation: Solution Question: Which of the following rational numbers have terminating decimals? (i) 16/25    (ii) 5/18    (iii) 2/21    (iv) 7/250 Important Rule A rational number has a terminating decimal expansion if, in its lowest form, the

If p and q Are Coprime, Are p2 and q2 Also Coprime? Video Explanation Watch the video below for a clear explanation: Solution Question: If p and q are co-prime numbers, then p2 and q2 are: (a) coprime    (b) not coprime    (c) even    (d) odd Key Concept Two numbers are called coprime

Number of Decimal Places in the Decimal Expansion of 14587/1250 Video Explanation Watch the video below for a clear explanation: Solution Question: The decimal expansion of the rational number 14587 / 1250 will terminate after: (a) one decimal place    (b) two decimal place    (c) three decimal place    (d) four decimal place Step

Find the Value of n Using LCM of a, b and c Video Explanation Watch the video below for a clear explanation: Solution Question: If a = 23 × 3 b = 2 × 3 × 5 c = 3n × 5 and LCM (a, b, c) = 23 × 32 × 5 find the