Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Linear Equations in One Variable

Short Answer Type

111.

Solve for x: $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

102 Views

112.
Solve for $straight x colon fraction numerator 7 straight x plus 14 over denominator 3 end fraction minus fraction numerator 17 minus 3 straight x over denominator 5 end fraction equals 6 straight x minus fraction numerator 4 straight x plus 2 over denominator 3 end fraction minus 5$

We have $fraction numerator 7 straight x plus 14 over denominator 3 end fraction minus fraction numerator 17 minus 3 straight x over denominator 5 end fraction equals 6 straight x minus fraction numerator 4 straight x plus 2 over denominator 3 end fraction minus 5$

Since, LCM of 3 and 5 is 15.

∴      The given equation is expressed as:

          $space space fraction numerator 5 left square bracket 7 x plus 14 right square bracket over denominator 5 cross times 3 end fraction minus fraction numerator 3 left square bracket 17 minus 3 x right square bracket over denominator 3 cross times 5 end fraction equals open parentheses fraction numerator 15 cross times 6 x over denominator 15 end fraction close parentheses minus fraction numerator 5 left parenthesis 4 x plus 2 right parenthesis over denominator 5 cross times 3 end fraction minus open parentheses fraction numerator 15 cross times 5 over denominator 15 end fraction close parentheses$

$rightwards double arrow$           $fraction numerator 35 straight x plus 70 over denominator 15 end fraction minus fraction numerator left parenthesis 51 minus 9 straight x right parenthesis over denominator 15 end fraction equals fraction numerator 90 straight x over denominator 15 end fraction minus fraction numerator left parenthesis 20 straight x plus 10 right parenthesis over denominator 15 end fraction minus 75 over 15$

$rightwards double arrow$            35x + 70 - (51-9x) = 90x - (20x + 10) - 75

$rightwards double arrow$               35x + 70 -51 + 9x = 90x - 20x - 10 - 75

$rightwards double arrow$             35x + 9x - 90x + 20x = -10 -75 + 51 - 70

$rightwards double arrow$    64x - 90x = -155 + 51

$rightwards double arrow$                              -26x = -104

$rightwards double arrow$                                $straight x equals fraction numerator negative 104 over denominator negative 26 end fraction equals 4$

   Thus, x = 4 is the solution of the given equation.

158 Views

113.

Solve for $space space space space straight x colon fraction numerator straight x minus left parenthesis 7 minus 8 straight x right parenthesis over denominator 9 straight x minus left parenthesis 3 plus 4 straight x right parenthesis end fraction equals 2 over 3$

117 Views

114.

Solve for $straight x colon fraction numerator left parenthesis 2 plus straight x right parenthesis left parenthesis 7 minus straight x right parenthesis over denominator left parenthesis 5 minus straight x right parenthesis left parenthesis 4 plus straight x right parenthesis end fraction equals 1$

117 Views

115.

A number is such that it is as much greater than 65 as it is less than 91. Find the number.

145 Views

116.

The numerator of a fraction is 2 less than the denominator. If 1 is added to its denominator, it becomes ½. Find the fraction.

124 Views

117.

After 24 years I shall be 3 times as old as I was 4 years ago. Find my present age.

157 Views

118.

If the sum of two numbers is 30 and their ratio is 2 : 3, then find the numbers.

125 Views

119.

Solve for x:

109 Views

120.

Solve for x:

$fraction numerator straight x minus 3 over denominator straight x plus 1 end fraction equals 1 half$

96 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

112. Solve for

112.
Solve for $straight x colon fraction numerator 7 straight x plus 14 over denominator 3 end fraction minus fraction numerator 17 minus 3 straight x over denominator 5 end fraction equals 6 straight x minus fraction numerator 4 straight x plus 2 over denominator 3 end fraction minus 5$