571, is it a prime ?
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Why is the Prime Minister in India not directly elected by the people? Choose the most appropriate answer and give reasons for your choice
(a) In a Parliamentary democracy only the leader of the majority party in the Lok Sabha can become the Prime Minister.
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Write the relation R = {(x, x3): x is a prime number less than 10} in roster form
R = {(x, x3): x is a prime number less than 10} The prime numbers less than 10 are 2, 3, 5, and 7. ∴ R = {(2, 8), (3, 27), (5,...
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Let A = {9, 10, 11, 12, 13} and let f: A → N be defined by f(n) = the highest prime factor of n. Find the range of f
A = {9, 10, 11, 12, 13} f: A → N is defined as f(n) = The highest prime factor of n Prime factor of 9 = 3 Prime factors of 10 =...
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In a single throw of a pair of different dice, what is the probability of getting (i) a prime number on each dice? (ii)a total of 9 or 11 ?
Total outcomes= 36 (i) Favourable outcomes are (2,2) (2,3) (2,5) (3,2)(3,3) (3,5) (5,2)(5,3) (5,5) i.e., 9 outcomes P(a prime number on each die)=9/36 or 1/4 (ii) Favourable outcomes are (3,6) (4,5) (5,4) (6,3) (5,6) (6,5)...
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Using Euclid’s division algorithm, check whether 231, 396 are co-prime or not. Justify your answer.
396 = 1 × 231 + 165 231 = 1 × 165 + 66 165 = 2 × 66 + 33 66 = 2 × 33 + 0 ∴ The HCF of 231, 396...
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What is the probability that a number selected from the number 1 to 10 is not a prime number when each number is equally likely to be selected?
Total non-prime numbers from 1 to 10 = 6 Required probability =6/10=3/5
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Find the missing term(s)- 137, 248, 389, 470, ? (A) 582 (B) 581 (C) 571 (D) 481
The correct option is (B) 581.
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The numbers 13 and 31 are prime numbers. Both these numbers have same digits 1 and 3.Find such pairs of prime numbers up to 100.
17 and 71; 37 and 73; 79 and 97
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Give three pairs of prime numbers whose difference is 2. [Remark: Two prime numbers whose difference is 2 are called twin primes.]
3 and 5; 5 and 7; 11 and 13
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Which of the following statements is not true? (A) The HCF of two distinct prime numbers is 1 (B) The HCF of two co prime numbers is 1
(D) The HCF of an even and an odd number is even
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