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
If a = 2^3 ✕ 3, b = 2 ✕ 3 ✕ 5, c = 3^n ✕ 5 and LCM (a, b, c) = 2^3 ✕ 3^2 ✕ 5, then n = Read More »
Find the LCM of 26 and 169 When Their HCF Is 13 Video Explanation Watch the video below for a clear explanation: Solution Question: If HCF (26, 169) = 13, then LCM (26, 169) is: (a) 26 (b) 52 (c) 338 (d) 13 Important Property For any two positive integers a and
If HCF (26, 169) = 13, then LCM (26, 169) = (a) 26 (b) 52 (c) 338 (d) 13 Read More »
Find the HCF of 95 and 152 Video Explanation Watch the video below for a clear explanation: Solution Question: The HCF of 95 and 152 is: (a) 57 (b) 1 (c) 19 (d) 38 Step 1: Prime Factorisation 95 = 5 × 19 152 = 23 × 19 Step 2: Find the
The HCF of 95 and 152, is (a) 57 (b) 1 (c) 19 (d) 38 Read More »
Find the Value of a When LCM(a, 18) = 36 and HCF(a, 18) = 2 Video Explanation Watch the video below for a clear explanation: Solution Question: If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then find a. (a) 2 (b) 3 (c)
Find the HCF of m = pq3 and n = p3q2 Video Explanation Watch the video below for a clear explanation: Solution Question: If two positive integers m and n are expressible in the form m = p q3 n = p3 q2 where p and q are prime numbers, find HCF(m, n). Step 1: