Largest Number Which Divides 70 and 125 Leaving Given Remainders Video Explanation Watch the video below for a clear explanation: Solution Question: The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, is: (a) 13    (b) 65    (c) 875    (d) 1750 Step 1: Subtract the Remainders 70 − […]

Find the HCF of a = x³y² and b = xy³ Video Explanation Watch the video below for a clear explanation: Solution Question: If two positive integers a and b are written as a = x3 y2 b = x y3 where x and y are prime numbers, then find HCF(a, b). (a) xy   

Nature of p12 − p22 When p1 and p2 Are Odd Prime Numbers Video Explanation Watch the video below for a clear explanation: Solution Question: If p1 and p2 are two odd prime numbers such that p1 > p2, then p12 − p22 is: (a) an even number    (b) an odd number    (c)

Number of Decimal Places in the Decimal Expansion of 33/(22 × 5) Video Explanation Watch the video below for a clear explanation: Solution Question: The decimal expansion of the rational number 33 / (22 × 5) will terminate after: (a) one decimal place    (b) two decimal places    (c) three decimal places    (d)

Condition for n² − 1 to Be Divisible by 8 Video Explanation Watch the video below for a clear explanation: Solution Question: n² − 1 is divisible by 8, if n is: (a) an integer    (b) a natural number    (c) an odd integer    (d) an even integer Step 1: Factorise the Expression

General Form of an Odd Integer Video Explanation Watch the video below for a clear explanation: Solution Question: For some integer q, every odd integer is of the form: (a) q    (b) q + 1    (c) 2q    (d) 2q + 1 Key Concept An odd integer is an integer that is not

General Form of an Even Integer Video Explanation Watch the video below for a clear explanation: Solution Question: For some integer m, every even integer is of the form: (a) m    (b) m + 1    (c) 2m    (d) 2m + 1 Key Concept An even integer is any integer that is divisible

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