Q 1. The product of a rational and irrational number is
(a) rational
(b) irrational
(c) both of above
(d) none of above
Q.2 Which of the following is not irrational?
(a) (2 – √3)2
(b) (√2 + √3)2
(c) (√2 -√3)(√2 + √3)
(d)27√7
Q.3. The sum of a rational and irrational number is
(a) rational
(b) irrational
(c) both of above
(d) none of above.
Q. 4 The decimal expansion of the rational number 23/(22 . 5) will terminate after
(a) one decimal place
(b) two decimal places
(c) three decimal places
(d) more than 3 decimal places
Q. 5. The sum or difference of two irrational numbers is always
(a) rational
(b) irrational
(c) rational or irrational
(d) not determined
Q.6 The largest number that divides 70 and 125, which leaves the remainders 5 and 8, is:
(a) 65
(b) 15
(c) 13
(d) 25
Q.7 L.C.M. of 23 × 32 and 22 × 33 is :
(a) 23
(b) 33
(c) 23 × 33
(d) 22 × 32
Q 8. 4 Bells toll together at 9.00 am. They toll after 7, 8, 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?
(a) 3
(b) 4
(c) 5
(d) 6
Q.9 n² – 1 is divisible by 8, if n is
(a) an integer
(b) a natural number
(c) an odd natural number
(d) an even natural number.
Q. 10 Given that LCM of (91, 26) = 182 then HCF (91, 26) is
(a) 13
(b) 26
(c) 7
(d) 9
Q. 11 The product of a non-zero number and an irrational number is:
(A) always irrational
(B) always rational
(C) rational or irrational
(D) one
Q.12 A quadratic polynomial, whose zeores are -4 and -5, is
(a) x²-9x + 20
(b) x² + 9x + 20
(c) x²-9x- 20
(d) x² + 9x- 20. Q.13 The zeroes of the quadratic polynomial 3x² – 48 are
(a) both negative
(b) one positive and one negative
(c) both positive
(d) both equal .
Q.14 The degree of the polynomial, x4 – x2 +2 is
(a) 2
(b) 4
(c) 1
(d) 0
Answer: (b) 4
Q.15 If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
(a) 10
(b) –10
(c) 5
(d) –5
Q.16 If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
(a) 10
(b) –10
(c) 5
(d) –5
Q. 17 If sum of the squares of zeroes of the quadratic polynomial 6x2 + x + k is 25/36, the value of k is:
(A) 4
(B) – 4
(C) 2
(D) – 2
Q.18 The zeroes of the quadratic polynomial x2 + 99x + 127 are
(A) both positive
(B) both negative
(C) one positive and one negative
(D) both equal
Q .19. If p(x) is a polynomial of degree one and p(a) = 0, then a is said to be:
(a) Zero of p(x)
(b) Value of p(x)
(c) Constant of p(x)
(d) None of the above
Q .20 A polynomial of degree n has:
(a) Only one zero
(b) At least n zeroes
(c) More than n zeroes
(d) At most n zeroes
Q 21. Given that two of the zeroes of the cubic polynomial ax3 + bx2 + cx + d are 0, the third zero is
(a) -b/a
(b) b/a
(c) c/a
(d) -d/a
Q.22 By division algorithm of polynomials, p(x) =
(a) g(x) × q(x) + r(x)
(b) g(x) × q(x) – r(x)
(c) g(x) × q(x) × r(x)
(d) g(x) + q(x) + r(x)
Q.23 A polynomial of degree 3 is called
(a) a linear polynomial
(b) a quadratic polynomial
(c) a cubic polynomial
(d) a biquadratic polynomial
Q.24 If α and 1α are the zeroes of the polynomial ax² + bx + c, then value of c is
(a) 0
(b) a
(c) -a
(d) 1.
Q.25. Zeroes of the polynomial x² – 11 are
(a) ±17−−√
(b) ±3–√
(c) 0
(d) None
