When LCM and HCF of Two Rational Numbers Are Equal Video Explanation Watch the video below for a clear explanation: Solution Question: The LCM and HCF of two rational numbers are equal. Then the numbers must be: (a) prime (b) co-prime (c) composite (d) equal Important Property For any two rational numbers […]
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
If n is any natural number, then 6^n − 5^n always ends with (a) 1 (b) 3 (c) 5 (d) 7 Read More »
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