Directions for questions: Answer the following questions based on the information given below.
The following bar chart gives the number of washing machine sales by four different brands. Samsung, LG, Whirlpool and Voltas in four shops viz. Gajraj electronics, Ghada electronics, Vijay electronics and Rohini electronics in year 2018-19. The names of the brands have been disguised as P1, P2, P3, and P4 (not in any order) while the various games have been classified as S1, S2, S3 and S4 (not in any order)
Total number of washing machines by these 4 brands in Ghada electronic is more than Gajraj electronics, Vijay electronics and Rohini electronics.
The difference between the total washing machines sales in Ghada electronic & Rohini electronics and the total washing machines in Vijay electronics and the Gajraj electronics by these 4 brands is 200.
In terms of the total washing machines sales by these brands in all the shops, Samsung and Voltas occupy the top two positions (not in any order).
What can be said regarding the following two statements?
Statement I: LG’s 2nd highest sales is in Gajraj electronic.
Statement II: The difference between the highest individual sells in Ghada electronic shop and Gajraj electronics shop is 200
Option 1 -
If statement (I) is true then statement (II) is necessarily true.
Option 2 -
Statement (I) is false and Statement (II) is true.
Option 3 -
Statement (I) is false and Statement (II) may be true.
Option 4 -
Both statement (I) and (II) are necessarily false.
From table, LG's second highest sales can be either in knock outs or Ghada electronics, hence statement (I) is definitely false.
Highest individual sales in Ghada electronics is 800. Now Gajraj electronics can have a sales of either 700 or 400, hence there is possibility of difference of 100, so statement (II) could be true.
<table border="0" cellspacing="0" cellpadding="0"><tbody><tr><td width="80"><p><span lang="EN-IN"> </span></p></td><td width="38"><p align="center"><strong>P1</strong></p></td><td width="39"><p align="center"><strong>P2</strong></p></td><td width="37"><p align="center"><strong>P3</strong></p></td><td width="37"><p align="center"><strong>P4</strong></p></td><td width="68"><p align="center"><strong>Phase total of 4 brands</strong></p></td></tr><tr><td width="80"><p align="center"><strong>S1</strong></p></td><td valign="top" width="38"><p align="center">450</p></td><td valign="top" width="39"><p align="center">600</p></td><td valign="top" width="37"><p align="center">500</p></td><td valign="top" width="37"><p align="center">700</p></td><td valign="top" width="68"><p align="center">2250</p></td></tr><tr><td width="80"><p align="center"><strong>S2</strong></p></td><td valign="top" width="38"><p align="center">500</p></td><td valign="top" width="39"><p align="center">650</p></td><td valign="top" width="37"><p align="center">550</p></td><td valign="top" width="37"><p align="center">800</p></td><td valign="top" width="68"><p align="center">2500</p></td></tr><tr><td width="80"><p align="center"><strong>S3</strong></p></td><td valign="top" width="38"><p align="center">550</p></td><td valign="top" width="39"><p align="center">500</p></td><td valign="top" width="37"><p align="center">600</p></td><td valign="top" width="37"><p align="center">250</p></td><td valign="top" width="68"><p align="center">1900</p></td></tr><tr><td width="80"><p align="center"><strong>S4</strong></p></td><td valign="top" width="38"><p align="center">600</p></td><td valign="top" width="39"><p align="center">550</p></td><td valign="top" width="37"><p align="center">400</p></td><td valign="top" width="37"><p align="center">400</p></td><td valign="top" width="68"><p align="center">1950</p></td></tr><tr><td width="80"><p align="center"><strong>Total runs score by the player</strong></p></td><td width="38"><p align="center">2100</p></td><td width="39"><p align="center">2300</p></td><td width="37"><p align="center">2050</p></td><td width="37"><p align="center">2150</p></td><td width="68"><p><span lang="EN-IN"> </span></p></td></tr></tbody></table><p> </p><p>Using additional information,</p><table border="0" cellspacing="0" cellpadding="0"><tbody><tr><td width="50"><p><span lang="EN-IN"> </span></p></td><td width="92"><p align="center"><strong>LG/Whirlpool</strong></p></td><td width="66"><p align="center"><strong>Samsung/ Voltas</strong></p></td><td width="92"><p align="center"><strong>LG/Whirlpool</strong></p></td><td width="66"><p align="center"><strong>Samsung/ Voltas</strong></p></td><td width="46"><p align="center"><strong>Phase total </strong></p></td></tr><tr><td width="50"><p align="center"><strong>S1</strong></p></td><td valign="top" width="92"><p align="center">450</p></td><td valign="top" width="66"><p align="center">600</p></td><td valign="top" width="92"><p align="center">500</p></td><td valign="top" width="66"><p align="center">700</p></td><td valign="top" width="46"><p align="center">2250</p></td></tr><tr><td width="50"><p align="center"><strong>S2</strong></p></td><td valign="top" width="92"><p align="center">500</p></td><td valign="top" width="66"><p align="center">650</p></td><td valign="top" width="92"><p align="center">550</p></td><td valign="top" width="66"><p align="center">800</p></td><td valign="top" width="46"><p align="center">2500</p></td></tr><tr><td width="50"><p align="center"><strong>S3</strong></p></td><td valign="top" width="92"><p align="center">550</p></td><td valign="top" width="66"><p align="center">500</p></td><td valign="top" width="92"><p align="center">600</p></td><td valign="top" width="66"><p align="center">250</p></td><td valign="top" width="46"><p align="center">1900</p></td></tr><tr><td width="50"><p align="center"><strong>S4</strong></p></td><td valign="top" width="92"><p align="center">600</p></td><td valign="top" width="66"><p align="center">550</p></td><td valign="top" width="92"><p align="center">400</p></td><td valign="top" width="66"><p align="center">400</p></td><td valign="top" width="46"><p align="center">1950</p></td></tr><tr><td width="50"><p align="center"><strong>Player total</strong></p></td><td width="92"><p align="center">2100</p></td><td width="66"><p align="center">2300</p></td><td width="92"><p align="center">2050</p></td><td width="66"><p align="center">2150</p></td><td width="46"><p><span lang="EN-IN"> </span></p></td></tr></tbody></table><p>From table, LG’s second highest sales can be either in knock outs or Ghada electronics, hence statement (I) is definitely false.</p><p>Highest individual sales in Ghada electronics is 800. Now Gajraj electronics can have a sales of either 700 or 400, hence there is possibility of difference of 100, so statement (II) could be true.</p>
From the 1st statement: B2 is now as old as B3 was in the past. Hence B2 is younger to B3 or B2 < B3. Also sometime in the past B1 was twice as old as B4. So B1 is elder to B4 or B1 > B4. B3 will be as old as B5 in future, hence B3 < B5. The second statement suggests: B1 > B6. B1 was as old as B7 in the past. Hence B1 > B7. B4 will be as old as B6 in future. Hence B6 > B4. B6 will be as old as B7 now in future. Hence B7 > B6. B7 was as old as B2, when B1 was as old as B7. Hence B1 = B2. Combining both the results, we get: and B5 > B3 > B2 = B1 > B7 > B6 > B4 (Note by B1 = B2, it is meant that they are of similar age group, not necessarily the same).
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