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| ExamCompetition Forum | Ask Questions and Get Answers related to various topics and subjects. You can also discuss with experts. | ||||||||||||||||||||||||||||||||||
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SEO headers
h2 Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively (i) $\frac{1}{4}, -1$ (ii) $\sqrt{2}, \frac{1}{4}$ (iii) $0, \sqrt{5}$ (iv) $1, 1$ (v) $- \frac{1}{4}, \frac{1}{4}$ (iv) $4, 1$
h2 Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients (i) $x^2 – 2x – 8$ (ii) $4s^2 – 4s + 1$ (iii) $6x^2 – 3 – 7x$ (iv) $4u^2 + 8u$ (v) $t^2 – 15$ (vi) $3x^2 – x – 4$
h2 The graphs of $y = p(x)$ are given in Fig. below, for some polynomials $p(x)$. Find the number of zeroes of $p(x)$, in each case
h2 Prove that $3 + 2 \sqrt{5}$ is irrational
h2 Prove that $\sqrt{5}$ is irrational
h2 There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
h2 Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
h2 Check whether 6n can end with the digit 0 for any natural number n.
h2 Given that HCF (306, 657) = 9, find LCM (306, 657)
h2 Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25
h2 Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54
h2 Express each number as a product of its prime factors: 140, 156, 3825, 5005, 7429
h2 General Knowledge Questions
h2 English Language and Comprehension
h2 Quantitative Aptitude
h2 ExamCompetition 2015-2021
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