Related MCQs

• 1 + (3 + 1) (3 + 1) (3⁴ + 1) (3⁸ + 1) (3¹⁶ + 1) (3³² + 1) is equal to
• The fifth term of the sequence for which t₁ = 1, t₂ = 2 and t_{n + 2} = t_n + t_{n + 1}, is
• If p, q, r are in Geometric Progression, then which is true among the following ?
• Find the nth term of the following sequence :<br>5 + 55 + 555 + ....... T_n
• The value of <br><table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>9</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>11</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>13</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>15</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>17</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>19</center></td><td rowspan="2"> is</td></tr><tr><td style="text-align: center;">1 .2 </td><td style="text-align: center;">2 .3 </td><td style="text-align: center;">3 .4 </td><td style="text-align: center;">4 .5 </td><td style="text-align: center;">5 .6 </td><td style="text-align: center;">6 .7 </td><td style="text-align: center;">7 .8 </td><td style="text-align: center;">8 .9 </td><td style="text-align: center;">9 .10 </td></tr></table>
• <table><tr><td rowspan="2">The 30th term of the series 30, 25</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">, 21 , 16</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">,........ is</td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table><br>
• Find the sum of the first five terms of the following series.<br><table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + .......... + .........</td></tr><tr><td style="text-align: center;">1 4</td><td style="text-align: center;">4 7</td><td style="text-align: center;">7 10</td></tr></table>
• The age of the father of two children is twice that of the elder one added to four times that of the younger one. If the geometric mean of the ages of the two children is 4 <span style="text-decoration:overline">3</span> and their harmonic mean is 6, then what is the father's age ?
• <table><tr><td rowspan="2">The next term of the sequence </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> , 3</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">, 6 , 8</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td><td rowspan="2"> ..............is : </td></tr><tr><td style="text-align: center;">x - 2</td><td style="text-align: center;">4</td><td style="text-align: center;">4</td></tr></table>
• 840, ?, 420, 140, 35, 7