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High IQ(Maths karapu porawal) wara...
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<blockquote data-quote="1118lakmalkumara" data-source="post: 31650888" data-attributes="member: 204945"><p><strong>Question 9</strong></p><p>1, 2, 9, 4, 25, ___, 7</p><p>(a) 36 (b) 33 (c) 27 (d) 35</p><p></p><p><strong>Solution</strong></p><p><em>Note: the small “²” on 2, 4 and 7 doesn’t show in the print, so I’ve read the sequence as 1, 2², 9, 4², 25, ___, 7².</em></p><p></p><ol> <li data-xf-list-type="ol">Write each term as a square: 1², 2², 3², 4², 5², ___, 7².</li> <li data-xf-list-type="ol">The bases go 1, 2, 3, 4, 5, ?, 7, so the missing base is 6.</li> <li data-xf-list-type="ol">Missing term = 6² = 36.</li> </ol><p><strong>Final Answer: (a) 36</strong></p><p></p><hr /><p><strong>Question 35</strong></p><p>BDAC : FHEG :: NPMO : ___</p><p>(a) QTRS (b) RQTS (c) TRQS (d) RTQS</p><p></p><p><strong>Solution</strong></p><p></p><ol> <li data-xf-list-type="ol">In alphabet positions, B D A C = 2, 4, 1, 3 and F H E G = 6, 8, 5, 7.</li> <li data-xf-list-type="ol">Each letter moves forward 4 (2→6, 4→8, 1→5, 3→7).</li> <li data-xf-list-type="ol">N P M O = 14, 16, 13, 15.</li> <li data-xf-list-type="ol">Add 4 to each: 18, 20, 17, 19 = R, T, Q, S.</li> </ol><p><strong>Final Answer: (d) RTQS</strong></p><p></p><hr /><p><strong>Question 36</strong></p><p>FxyZ : YyxF :: AefM : ___</p><p>(a) RefL (b) AefL (c) LefL (d) LfeA</p><p></p><p><strong>Solution</strong></p><p></p><ol> <li data-xf-list-type="ol">Reverse FxyZ to get ZyxF.</li> <li data-xf-list-type="ol">Compared with YyxF, only the first letter changes: Z → Y, one letter back.</li> <li data-xf-list-type="ol">So the rule is: reverse the word, then move the first letter back by 1.</li> <li data-xf-list-type="ol">Reverse AefM to get MfeA.</li> <li data-xf-list-type="ol">Move M back one to L, giving LfeA.</li> </ol><p><strong>Final Answer: (d) LfeA</strong></p><p></p><hr /><p><strong>Questions 17 to 22</strong></p><p>A Travel Agent is arranging sight seeing tours in the following locations L, M, N, O, P, Q, R, S, and T. Each tour has the following conditions:</p><p></p><ol> <li data-xf-list-type="ol">If M is included, both Q and R must be included.</li> <li data-xf-list-type="ol">P can be included only if O is included.</li> <li data-xf-list-type="ol">If Q is included, M must be included along with either N or T or both.</li> <li data-xf-list-type="ol">P and Q cannot be combined together.</li> <li data-xf-list-type="ol">O, R and T cannot be combined together.</li> <li data-xf-list-type="ol">N, S and R cannot be combined together.</li> <li data-xf-list-type="ol">L and R cannot be combined.</li> </ol><p><em>Rules 5 and 6 mean all three can’t be in the same tour. Any two of them together is fine.</em></p><p></p><hr /><p><strong>Question 17</strong></p><p>If M is included in a tour, the minimum number of other cities that must be included is</p><p>(a) 3 (b) 4 (c) 5 (d) 6</p><p></p><p><strong>Solution</strong></p><p></p><ol> <li data-xf-list-type="ol">Rule 1: M is in, so Q and R must be in.</li> <li data-xf-list-type="ol">Rule 3: Q is in, so N or T must be in.</li> <li data-xf-list-type="ol">No other rule forces a city in.</li> <li data-xf-list-type="ol">The minimum is Q + R + (N or T) = 3 cities.</li> </ol><p><strong>Final Answer: (a) 3</strong></p><p></p><hr /><p><strong>Question 18</strong></p><p>Which of the following tours cannot be included with P?</p><p>(a) L (b) M (c) N (d) O</p><p></p><p><strong>Solution</strong></p><p></p><ol> <li data-xf-list-type="ol">Rule 4: P is in, so Q is out.</li> <li data-xf-list-type="ol">Rule 1: M needs Q, so M is out.</li> <li data-xf-list-type="ol">L, N and O don’t clash with P. O is actually required with P.</li> </ol><p><strong>Final Answer: (b) M</strong></p><p></p><hr /><p><strong>Question 19</strong></p><p>Which of the following is an acceptable tour group?</p><p>(a) M N O P (b) M N Q R (c) M N Q S (d) L M Q R</p><p></p><p><strong>Solution</strong></p><p></p><ol> <li data-xf-list-type="ol">(a) M needs Q and R, and both are missing ✗</li> <li data-xf-list-type="ol">(b) M has Q and R, Q has M and N, and nothing clashes ✓</li> <li data-xf-list-type="ol">(c) M needs R, which is missing ✗</li> <li data-xf-list-type="ol">(d) L is with R ✗ (and Q has neither N nor T)</li> </ol><p><strong>Final Answer: (b) M N Q R</strong></p><p></p><hr /><p><strong>Question 20</strong></p><p>Which of the following would have to be removed from a group to form an acceptable tour?</p><p>(a) M (b) Q (c) O (d) R</p><p></p><p><strong>Solution</strong></p><p><em>Note: the question doesn’t name the group, so I’ve taken it as all nine locations.</em></p><p></p><ol> <li data-xf-list-type="ol">With all nine included, rules 4, 5, 6 and 7 are broken.</li> <li data-xf-list-type="ol">R is in three of those clashes (rules 5, 6 and 7), so remove R.</li> <li data-xf-list-type="ol">M needs R, so M goes. Q needs M, so Q goes too, which also fixes rule 4.</li> <li data-xf-list-type="ol">That leaves L, N, O, P, S, T, which is an acceptable tour.</li> <li data-xf-list-type="ol">Removing M, Q or O instead still leaves either O, R, T or N, S, R together.</li> </ol><p><strong>Final Answer: (d) R</strong></p><p></p><hr /><p><strong>Question 21</strong></p><p>Which of the following can be an acceptable tour if one more destination is added?</p><p>(a) M, P, Q (b) M, Q, R (c) N, S, R (d) R, T, P</p><p></p><p><strong>Solution</strong></p><p></p><ol> <li data-xf-list-type="ol">(a) P with Q is a clash, and adding a city can’t remove it ✗</li> <li data-xf-list-type="ol">(b) The only thing missing is N or T. Adding N gives M, N, Q, R ✓</li> <li data-xf-list-type="ol">(c) N, S and R together is a clash ✗</li> <li data-xf-list-type="ol">(d) P needs O, but adding O puts O, R and T together ✗</li> </ol><p><strong>Final Answer: (b) M, Q, R</strong></p><p></p><hr /><p><strong>Question 22</strong></p><p>How many destinations can be used for a tour consisting of one city only?</p><p>(a) 3 (b) 4 (c) 5 (d) 6</p><p></p><p><strong>Solution</strong></p><p></p><ol> <li data-xf-list-type="ol">M needs Q and R, P needs O, and Q needs M, so these 3 can’t be alone.</li> <li data-xf-list-type="ol">L, N, O, R, S and T don’t need any other city, so each can be alone.</li> <li data-xf-list-type="ol">9 − 3 = 6.</li> </ol><p><strong>Final Answer: (d) 6</strong></p></blockquote><p></p>
[QUOTE="1118lakmalkumara, post: 31650888, member: 204945"] [B]Question 9[/B] 1, 2, 9, 4, 25, ___, 7 (a) 36 (b) 33 (c) 27 (d) 35 [B]Solution[/B] [I]Note: the small “²” on 2, 4 and 7 doesn’t show in the print, so I’ve read the sequence as 1, 2², 9, 4², 25, ___, 7².[/I] [LIST=1] [*]Write each term as a square: 1², 2², 3², 4², 5², ___, 7². [*]The bases go 1, 2, 3, 4, 5, ?, 7, so the missing base is 6. [*]Missing term = 6² = 36. [/LIST] [B]Final Answer: (a) 36[/B] [HR][/HR] [B]Question 35[/B] BDAC : FHEG :: NPMO : ___ (a) QTRS (b) RQTS (c) TRQS (d) RTQS [B]Solution[/B] [LIST=1] [*]In alphabet positions, B D A C = 2, 4, 1, 3 and F H E G = 6, 8, 5, 7. [*]Each letter moves forward 4 (2→6, 4→8, 1→5, 3→7). [*]N P M O = 14, 16, 13, 15. [*]Add 4 to each: 18, 20, 17, 19 = R, T, Q, S. [/LIST] [B]Final Answer: (d) RTQS[/B] [HR][/HR] [B]Question 36[/B] FxyZ : YyxF :: AefM : ___ (a) RefL (b) AefL (c) LefL (d) LfeA [B]Solution[/B] [LIST=1] [*]Reverse FxyZ to get ZyxF. [*]Compared with YyxF, only the first letter changes: Z → Y, one letter back. [*]So the rule is: reverse the word, then move the first letter back by 1. [*]Reverse AefM to get MfeA. [*]Move M back one to L, giving LfeA. [/LIST] [B]Final Answer: (d) LfeA[/B] [HR][/HR] [B]Questions 17 to 22[/B] A Travel Agent is arranging sight seeing tours in the following locations L, M, N, O, P, Q, R, S, and T. Each tour has the following conditions: [LIST=1] [*]If M is included, both Q and R must be included. [*]P can be included only if O is included. [*]If Q is included, M must be included along with either N or T or both. [*]P and Q cannot be combined together. [*]O, R and T cannot be combined together. [*]N, S and R cannot be combined together. [*]L and R cannot be combined. [/LIST] [I]Rules 5 and 6 mean all three can’t be in the same tour. Any two of them together is fine.[/I] [HR][/HR] [B]Question 17[/B] If M is included in a tour, the minimum number of other cities that must be included is (a) 3 (b) 4 (c) 5 (d) 6 [B]Solution[/B] [LIST=1] [*]Rule 1: M is in, so Q and R must be in. [*]Rule 3: Q is in, so N or T must be in. [*]No other rule forces a city in. [*]The minimum is Q + R + (N or T) = 3 cities. [/LIST] [B]Final Answer: (a) 3[/B] [HR][/HR] [B]Question 18[/B] Which of the following tours cannot be included with P? (a) L (b) M (c) N (d) O [B]Solution[/B] [LIST=1] [*]Rule 4: P is in, so Q is out. [*]Rule 1: M needs Q, so M is out. [*]L, N and O don’t clash with P. O is actually required with P. [/LIST] [B]Final Answer: (b) M[/B] [HR][/HR] [B]Question 19[/B] Which of the following is an acceptable tour group? (a) M N O P (b) M N Q R (c) M N Q S (d) L M Q R [B]Solution[/B] [LIST=1] [*](a) M needs Q and R, and both are missing ✗ [*](b) M has Q and R, Q has M and N, and nothing clashes ✓ [*](c) M needs R, which is missing ✗ [*](d) L is with R ✗ (and Q has neither N nor T) [/LIST] [B]Final Answer: (b) M N Q R[/B] [HR][/HR] [B]Question 20[/B] Which of the following would have to be removed from a group to form an acceptable tour? (a) M (b) Q (c) O (d) R [B]Solution[/B] [I]Note: the question doesn’t name the group, so I’ve taken it as all nine locations.[/I] [LIST=1] [*]With all nine included, rules 4, 5, 6 and 7 are broken. [*]R is in three of those clashes (rules 5, 6 and 7), so remove R. [*]M needs R, so M goes. Q needs M, so Q goes too, which also fixes rule 4. [*]That leaves L, N, O, P, S, T, which is an acceptable tour. [*]Removing M, Q or O instead still leaves either O, R, T or N, S, R together. [/LIST] [B]Final Answer: (d) R[/B] [HR][/HR] [B]Question 21[/B] Which of the following can be an acceptable tour if one more destination is added? (a) M, P, Q (b) M, Q, R (c) N, S, R (d) R, T, P [B]Solution[/B] [LIST=1] [*](a) P with Q is a clash, and adding a city can’t remove it ✗ [*](b) The only thing missing is N or T. Adding N gives M, N, Q, R ✓ [*](c) N, S and R together is a clash ✗ [*](d) P needs O, but adding O puts O, R and T together ✗ [/LIST] [B]Final Answer: (b) M, Q, R[/B] [HR][/HR] [B]Question 22[/B] How many destinations can be used for a tour consisting of one city only? (a) 3 (b) 4 (c) 5 (d) 6 [B]Solution[/B] [LIST=1] [*]M needs Q and R, P needs O, and Q needs M, so these 3 can’t be alone. [*]L, N, O, R, S and T don’t need any other city, so each can be alone. [*]9 − 3 = 6. [/LIST] [B]Final Answer: (d) 6[/B] [/QUOTE]
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