Remainder When the Square of a Prime Number Greater Than 3 Is Divided by 6 Video Explanation Watch the video below for a clear explanation: Solution Question: The remainder when the square of any prime number greater than 3 is divided by 6, is: (a) 1 (b) 3 (c) 2 (d) 4 […]
Find the Product of Two Numbers Using Given HCF and LCM Conditions Video Explanation Watch the video below for a clear explanation: Solution Question: If the sum of the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, find the product of the two numbers. (a) 203400
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