Logical aptitude questions

Aptitude Questions
Hi guys hers some logical aptitude questions to think . . .




5. A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, “How many gold coins do we have?” After pausing a moment, he replied, “Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers.” The wife looked puzzled. Can you help the merchant’s wife by finding out how many gold R

6. A set of football matches is to be organized in a “round-robin” fashion, i.e., every participating team plays a match against every other team once and only once. If 21 matches are totally played, how many teams participated?





Answer and Explanation.

1. F + C + T = 100————-eq1 15F + C + 0.25T = 100————-eq2 eq1=eq2 .solve to get F=3T/56 ;F=3,T=56,C=41

2. a) There is no need to consider their meeting pt at all.the train has been running for 90miles/(60miles/hr)=1.5hrs.bird flies till train reaches destination frm strting pt.so bird flies for1.5hrs at the vel given(90).so dist=1.5*90=135miles b) time of train=1hr.so dist of bird=60*1=60miles
3. (a) u don’t need to sum it up.since it’s a knock out only 1 person emerges winner finally.so15+1=16is answer.becos after15 matches finally we shud’ve 15losers and 1winner.(b) 49:its always one less than no of players as per the idea given above.so no need to check okay cos its always true.ans is 49.
4. Let x= current age 4(x+4)+5(x+5)=10x ;so x=R 41 years
5. 37(x-y)=x^2-y^2. u no tht x^2-y^2=(x-y)(x+y).so (x-y) cancels on both sides to give x+y=37.so sum of unequal halves=37 which is the req answer.
6. R ans:7 teams okay.for a match u need 2 teams.suppose there r totally ‘n ‘teams.Now uve to choose 2 teams out of ‘n’ teams.so answer =no of such choices=no. of possible combinations. So we’ve ans = nC2(ncombination2)=21;solve to get n=7.Sol: n(n-1)/2=21. so n=7.if u don’t understand c the graph beloweach team plays no. of matches=no of teams ahead of it. One bar ” represents one team. ————7 6 5 4 3 2 1 0 ———–21last team is written as 0 matches becos this team has already played with all other teams-hence sum of matches =6+5+4+3+2+1=21 which is correct only if no of teams =7
7. R 141. G+2=j-22. 2(G-2)=J+2.solve these 2 to get J=14
8. a). Sol:each mky takes 8 min to eat a banana b).ans:8m=48 m=6
9. Use sets and venn diagram to solve such questions.a,b ,aub,anb etc.12=tennis+leave18=jog +leaveso jog-tennis=6again jog+tennis=14.so solve and get jog=10,leave=8,tennis=4.so tot=22
10. Ans= 32*2 + 30*2=124

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