Important Questions of Number Systems Mathematics | Zigya

Important Questions of Number Systems Mathematics | Zigya

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Mathematics : Number Systems

Multiple Choice Questions

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211. The simplified form of

13 to the power of begin display style 1 fifth end style end exponent over 13 to the power of begin display style 1 third end style end exponent

is :

$13 to the power of 2 over 15 end exponent$
$13 to the power of 8 over 15 end exponent$
$13 to the power of 1 third end exponent$
$13 to the power of 1 third end exponent$

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212. Every rational number is:

a natural number
an integer
a real number
a real number

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213. Value of

fraction numerator 1 over denominator square root of 18 minus square root of 32 end fraction

is equal to:

$square root of 2$
$negative square root of 2$
$fraction numerator 1 over denominator square root of 2 end fraction$
$fraction numerator 1 over denominator square root of 2 end fraction$

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214.

Rationalisation of the denominator of $fraction numerator 1 over denominator square root of 5 plus square root of 2 end fraction$ gives

$fraction numerator 1 over denominator square root of 10 end fraction$
$square root of 5 plus square root of 2$
$square root of 5 minus square root of 2$
$square root of 5 minus square root of 2$

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215.

If $straight x to the power of 1 over 12 end exponent equals 49 to the power of 1 over 24 end exponent$ then x is a equal to:

49
2
12
12

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216. Which of the following numbers is an irrational number?

$square root of 16 minus 4 end root$
$left parenthesis 3 minus square root of 3 right parenthesis left parenthesis 3 plus square root of 3 right parenthesis$
$square root of 5 plus 3$
$square root of 5 plus 3$

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217. A terminating decimal is:

natural number
a whole number
a rational number
a rational number

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218. The rational number between

negative 1 fifth space and space minus 2 over 5 space is space colon

0
$negative 1 fourth$
$negative 3 over 10$
$negative 3 over 10$

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219. The value of

square root of left parenthesis 3 to the power of negative 2 end exponent end root right parenthesis space

is :

$1 over 9$
9
- 3
- 3

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220. The value of

left parenthesis 243 right parenthesis to the power of 1 fifth end exponent

is equal to:

5
3
6
6

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