MULTIPLE CHOICE QUESTIONS:REAL NUMBERS

1) √5 is(a) an integer (c) an irrational number(b) a rational number (d) none of these

2) The decimal expansion of irrational number is(a) Terminating (c) non-terminating repeating(b) Non-terminating non-repeating (d) none of these

3) The decimal expansion of number 29/22x 5x7 is(a) Terminating (c) non-terminating repeating(b) Non-terminating non-repeating (d) none of these

4) If two positive integers a and b are written as a=x4y2 and b=x2y3 ,a,b are prime numbers, then HCF (a,b) is(a) X4y3 (c) xy(b) X2y3 (d) x2y2

5) If two positive integers a and b are written as a=xy2 and b=x3y,a,b are prime numbers, then LCM(a,b) is(a) X2y2 (c) xy(b) X3y2 (d) none of these

6) The product of LCM and HCF of two numbers m and n is(a) M + n (c) m - n(b) M x n (d) none of these

7) The largest number which divides 615 and 963 leaving remainder 6 in each case is(a) 82 (c) 95(b) 87 (d) 93

8) If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is(a) 4 (c) 2(b) 11 (d) 3

9) The product of a non-zero rational and an irrational number is (a) Always rational (c) always irrational (b) One (d) rational or irrational

10) The product of two irrational numbers is (a) Always irrational (c) always rational (b) One (d) rational or irrational

11) The least number that is divisible by all the numbers from 1 to 10 (both in-clusive) is(a) 10 (c) 100(b) 504 (d) 2520

12) For some integer m, every even integer is of the form (a) M (c) m + 1(b) 2m (d) 2m + 1

13) For some integer q, every odd integer is of the form(a) Q (c) q + 1(b) 2q (d) 2q + 1

14) The product of two consecutive integers is divisible by (a) 2 (c) 3(b) 5 (d) 7

15) The product of three consecutive integers is divisible by (a) 5 (c) 6(b) 7 (d) none of these

POLYNOMIALS

1) The quadratic polynomial having zeroes -3 and 2 is(a) X2-x-6 (c) x2+x-6(b) X2+x+6 (d) x2-x+6

2) If p(x)=ax2+bx+c has no real zero and a+b+c<0, then(a) C=0 (c) c<0(b) C>0 (d) none of these

3) Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is zero, the product of the other two zeroes is(a) -c/a (c)c/a(b) 0 (d)-b/a

4) A quadratic polynomial whose roots are -3 ans 4 is(a) X2-x+12 (c) x2+x+12(b) X2/2 - x/2 - 6 (d) 2x2+2x-24

5) If one of the zeroes of the quadratic polynomial (k+1) x2+kx+1 is -3, then the value of k is(a) 4/3 (c)-4/3(b) 2/3 (d)-2/3

6) If the product of two zeroes of the polynomial p(x)=2x3+6x2-4x+9 is 3, then its third zero is(a) -3/2 (c) 3/2(b) -9/2 (d) 9/2

7) If the zeroes of the quadratic polynomial ax2+bx+c, c≠0 are equal, then(a) C and a have opposite signs (c) c and a have opposite signs(b) C and a have the same signs (d) c and a have the same signs

8) If one root of the polynomial p(y)=5y2+13y+m is reciprocal of other, then the value of m is(a) 6 (c) 0(b) 5 (d) 1/5

9) If one of the zeroes of a quadratic polynomial of the form x2+ax+b is the negative of the other, then it(a) Has no linear term and the contast term is negative(b) Has no linear term and the contast term is positive(c) Can have a linearterm but the contast term is negative (d) Can have a linear term but the contast term is positive

10) If α and β