Q

#### GET REAL

(10 Questions)This covers some major concepts in the chapter real numbers.

0

1

Is \frac{9}{11} a terminating or a non-terminating decimal?

**A**

**B**

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1

Find the value of \log_\frac{2}{3}(\frac{8}{27})

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1

2 \log 3 - 3 \log 2 is equal to

**A**

**B**

**C**

**D**

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1

The sum of a rational number and an irrational number is always irrational.

**A**

**B**

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1

The number of digits in 4^{2013} if \log _{10} 2 = 0.3010 is

**A**

**B**

**C**

**D**

0

1

If x^{2} + y^{2} = 6xy then 2 \log (x + y) = ----------------

**A**

**B**

**C**

**D**

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1

Which of these is an irrational number?

**A**

**B**

**C**

**D**

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1

Nearly any number you can think of is a Real Number.Real Numbers include Whole Numbers (like 0, 1, 2, 3, 4, etc). Rational Numbers (like 3/4, 0.125, 0.333..., 1.1, etc ) and Irrational Numbers (like π, √2, etc ) So ... what is NOT a Real Number?
Imaginary Numbers like √−1 (the square root of minus). Infinity is also not a real number. So real numbers consist of both rational and irrational numbers. Any number which can be expressed in the form \frac{p}{q} (where p and q are integers)is a RATIONAL number. Which of these is a rational number?

**A**

**B**

**C**

**D**

0

1

Any composite number can be written as a product of its primes. A prime number cannot be a composite number.Pick the correct statement.

**A**

**B**

**C**

**D**

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1

The exponent says how many times to use the number in a multiplication. In this example: 2^3 = 2 × 2 × 2 = 8(2 is used 3 tImes in a multiplication to get 8). In general if a^{n} = x then \log x{_a} = n . The value of \log_2\big(\frac{1}{16}\big) is

**A**

**B**

**C**

**D**

by laxman