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CBSE Class 10 Question Bank 2023 : Mathematics

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Dk Saraff
St. Helen's School, Howrah

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REAL NUMBERS 1) The HCF of two numbers a and b is 5 and their LCM is 200. Find the product ab. 2). The LCM of two numbers is 9 times their HCF. The sum of LCM and HCF is 500. Find their HCF. 3) Two positive integers a and b can be written as a =x 3 y2 and b= xy3, where r and y are prime numbers. Find HCF(a, b) and LCM(a, b). 4) The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other. 5) The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other. ANS- 1)1000 2)50 3) HCF=XY2 LCM =X3 Y3 4)207 5)435 6)Express in form where p and q is integer and q 0: 0.134 Ans. 7) If one zero of the polynomial (a2 + 9)x + 13x + 6a is the reciprocal of the other, find the value of a a=3 POLYNOMIALS ax2+bx+c sum ( + )= - product ( ) = Equation of quadratic polynomial : X2-( + )x+ 8)Find the zeros of the polynomial f(x) = x2 + 7x + 12 and verify the relation between its zeroes and coefficients. Ans.x = -4 or x = -3 9) When x3 + 3x2 kx + 4 is divided by x 2, the remainder is k. Find the value of the constant k. Ans. : k = 8 10)What number should be added to 2x3 3x2 8x so that the resulting polynomial leaves the remainder 10 when divided by 2x + 1? Hint : Let the no be a a + 2x3 3x2 8x = 10 = = x= = 2x + 1 = 0 substitute the value of x in the above equation. GUESS QUESTIONS BY ASHISH SARAF MO-9903312612 Ans. : 7

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