Mathematics Test Yourself Questions

TEST YOURSELF

1. Multiple Choice Type

Choose the correct answer from the options given below.

Question 1

(c) If x=ext6ext5x = ext{√}6 - ext{√}5, then xx - - is equal to:

  • Options:
    (a) 1
    (b) 11
    (c) 2√√6
    (d) -2√5
Question 2

(a) Since, 90=2imes3imes3imes590 = 2 imes 3 imes 3 imes 5,
What type of decimal is not a terminating decimal:

  • Options:
    (i) true
    (ii) false
    (iii) none of these
Question 3

(d) 2ext32+ext3\frac{2- ext{√3}}{2+ ext{√3}} is equal to:

  • Options:
Question 4

(b) ext27ext{√}27 is irrational and ext{√3 is also irrational, then which of the following is rational:

  • Options:
    (i) 4
    (ii) 2√3
    (iii) 1
    (iv) 8√3
Question 5

(i) ext27ext3ext{√}27 - ext{√}3
(ii) ext27+ext3ext{√}27 + ext{√}3
(iii) ext27imesext3ext{√}27 imes ext{√}3
(iv) none of these

Question 6

(e) Statement (1): If a=3ext3a = 3 ext{√}3 and b=5ext12b = \frac{5}{ ext{√}12}, then aimesba imes b is irrational.