Important Questions of Real Numbers Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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111. Show that  3<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493)
#2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs()
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...')
#4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array)
#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#6 {main}</pre> is not a rational number.
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112. square root of 2 is not a rational number. Show that 2 plus square root of 2 is not a rational number.
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113.

Prove that square root of 3 plus square root of 5  is an irrational number.

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114. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 1 + 5 are composite numbers.
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115. Check whether 12n can end with digit 5 for any n ∊ N.
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116.  Explain why 11 × 13 × 17 + 17 is a composite number.
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117. If  straight x equals straight P over straight q be a rational number such that the prime factorization of q is not of the form 2n5m, where n, m are non-negative integers, then x has decimal expansion which is non-terminating repeating. Is this statement true ?
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118. Prove that for any prime positive integerp, square root of straight P is an irrational number.
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119. Find the smallest number which when increased by 17 is exactly divisible by both 520 and 468.
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120. In a school there are two sections—section A and section B of class X. There are 17 students in section A and 25 in section B. Find the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B.
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