Product of a Non-Zero Rational Number and an Irrational Number Video Explanation Watch the video below for a clear explanation: Solution Question: The product of a non-zero rational number and an irrational number is: (a) always irrational (b) always rational (c) rational or irrational (d) one Key Concept A rational number can […]
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
For some integer q, every odd integer is of the form (a) q (b) q+1 (c) 2q (d) 2q+ 1 Read More »
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
For some integer m, every even integer is of the form (a) m (b) m + 1 (c) 2m (d) 2m+1 Read More »
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