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CBSE Important Questions

CBSE Guess > Papers > Important Questions > Class X > 2014 > Mathematics > Math-index > 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)

  1. Every positive even integer is of the form:
    1. q
    2. 2q
    3. 2q + 1
    4. 2q -1
  2. Every positive odd integer is of the form
    1. q
    2. 2q
    3. 2q + 1
    4. 2q -1
  3. Decimal representation of an irrational number is always:
    1. non-terminating ,non-repeating
    2. terminating
    3. repeating
    4. non-terminating, repeating
  4. n2 - 1 is divisible by 8, if n is :
    1. an odd integer
    2. an integer
    3. a natural number
    4. an even integer
  5. 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:
    1. HCF
    2. LCM
    3. DECIMAL EXPANSION
    4. PROBABILITY
  6. Sum of the zeroes of a quadratic polynomial p(x) = ax2 + bx + c is given by :
    1. c/a
    2. a/c
    3. – b/a
    4. – a/b
  7. The degree of the polynomial (x + 1) (x2 - x - x4 + 1) is :
    1. 2
    2. 3
    3. 4
    4. 5
  8. The quadratic polynomials whose sum of zeroes is +3 & product of zeroes is +2 is:
    1. x2 + 3x -2
    2. x2 - 2x + 3
    3. x2 - 3x + 2
    4. x2 - 3x - 2
  9. If - 4 is a zero of the polynomial x2 - x - (2 + 2k), then the value of k is :
    1. - 4/3
    2. 4/3
    3. 2/3
    4. - 2/3
  10. The Q.P. p(y), the sum of whose zeroes is - 15 & one zeroes is -7, is :
    1. y2 - 15y - 56
    2. y2 + 15y + 56
    3. y2 + 15y + 54
    4. y2 + 15 - 56

Note : EACH QUESTION 3 MARKS (SECTION B)

  1. Prove that √5 is irrational.
  2. Show that (4 - √3) is irrational.
  3. Divide 30x4 + 11x3 - 82x2 - 12x + 48 by (3x2 + 2x - 4) & verify the result by division algorithm.
  4. Prove that 3+√5 is an irrational number.
  5. Find a Q.P. the sum of whose zeroes is 7 & their product is 12. Hence find the zeroes of the polynomials.
  6. Find all the zeroes of the polynomials x3 + 3x2 - 2x - 6, if two of its zeroes are -√2 & √2.
  7. If α,  β are the zeroes of the polynomials, such that α+ β = 6 α β = 4, then write the polynomials.
  8. 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.
  9. 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.
  10. 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?

 

Submitted By : Mr. Ajai Kumar Shukla,
RACHNA TUTORIALS, 6/1003 JANKIPURAM VISTAR LUCKNOW
Mobile : +91 - 9415467421
Email Id : ajaishukla89@gmail.com