CBSE Guess > Papers > Important Questions > Class X > 2014 > Mathematics > Mathindex > Mathematics By Mr. Ajai Kumar Shukla
CBSE CLASS X
Mathematics
CLASS X MATHS TEST (REAL NUMBERS, POLYNOMIALS)
Choose the correct option : EACH QUESTION 1 MARKS (SECTION A)
 Every positive even integer is of the form:
 q
 2q
 2q + 1
 2q 1
 Every positive odd integer is of the form
 q
 2q
 2q + 1
 2q 1
 Decimal representation of an irrational number is always:
 nonterminating ,nonrepeating
 terminating
 repeating
 nonterminating, repeating
 n^{2}  1 is divisible by 8, if n is :
 an odd integer
 an integer
 a natural number
 an even integer
 According to Euclid’s division algorithm using Euclid’s division lemma for any two positive integers a & b with a > b enables us to find:
 HCF
 LCM
 DECIMAL EXPANSION
 PROBABILITY
 Sum of the zeroes of a quadratic polynomial p(x) = ax^{2} + bx + c is given by :
 c/a
 a/c
 – b/a
 – a/b
 The degree of the polynomial (x + 1) (x^{2}  x  x^{4 }+ 1) is :
 2
 3
 4
 5
 The quadratic polynomials whose sum of zeroes is +3 & product of zeroes is +2 is:
 x^{2} + 3x 2
 x^{2}  2x + 3
 x^{2}  3x + 2
 x^{2}  3x  2
 If  4 is a zero of the polynomial x^{2}  x  (2 + 2k), then the value of k is :
  4/3
 4/3
 2/3
  2/3
 The Q.P. p(y), the sum of whose zeroes is  15 & one zeroes is 7, is :
 y^{2}  15y  56
 y^{2} + 15y + 56
 y^{2} + 15y + 54
 y^{2} + 15  56
Note : EACH QUESTION 3 MARKS (SECTION B)
 Prove that √5 is irrational.
 Show that (4  √3) is irrational.
 Divide 30x^{4 }+ 11x^{3 } 82x^{2}  12x + 48 by (3x^{2} + 2x  4) & verify the result by division algorithm.
 Prove that 3+√5 is an irrational number.
 Find a Q.P. the sum of whose zeroes is 7 & their product is 12. Hence find the zeroes of the polynomials.
 Find all the zeroes of the polynomials x^{3} + 3x^{2}  2x  6, if two of its zeroes are √2 & √2.
 If α, β are the zeroes of the polynomials, such that α+ β = 6 α β = 4, then write the polynomials.
 For what value of k, will the following system of linear equations have infinitely many solutions? 2x + 3y = 4 & (k+2)x + 6y=3k + 2.
 Determine a & b for which the following system of linear equations has infinite number of solutions 2x  (a  4) y = 2b + 1; 4x  (a 1) y = 5b 1.
 If 6 years hence a man’s age will be 3times the age of his son & three years ago he was 9times as old as his son, find the present age of the man?
CBSE Important Questions Class X Mathematics By : Mr. Ajai Kumar Shukla
Submitted By : Mr. Ajai Kumar Shukla,
RACHNA TUTORIALS, 6/1003 JANKIPURAM VISTAR LUCKNOW
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