1. A shopkeeper arranges his fruits in such a way that putting say either 3,or 9,or 7 apples in a row each time one apple is left. but when he puts say 11 apples in a row no apple is left.find no. of apples.
ans: take l.c.m. of earlier three nos. add 1 if divided by 11 fine else multiply by 2 add 1 divide by 11 .if not divisible keep on repeating.
2. A problem of staircase:if i start going down, having gone down 4 steps i see x coming up.i meet x in way going down.when i had still 7 steps to go down x had gone up .find no. of steps in the staircase.condition: for each of my one step down x goes up 2 steps.ans:22
solution:say total no. of steps x2(x-11)==xx="
3. Problem of merrygoround.tom on a merrygoround finds that one third of people ahead of him and three fourth of people behind him is equal to the no. of people on the merrygoround.find the no. of people on the merrygoround.
ans:13since merry gorund is circular so 3/4x+1/3x==x+1.
4. A problem of cards .four persons sitting on a table.infront of each one of them one card is lying not having same colours on both sides.2 blue,2 red,2 green faces. each one guesses the color of unseen face of card .(guesses i don’t remember) exactly 2 are lying.the front faces of card are red,blue,green,red respectively.find the colors of unseen faces of card.
5. five persons in a conference.a & b can communicate in english.when d joins the only coomon language of communication is spanish. a ,b,e can talk to each other in french only.exactly 3 people know portugese. the number of languages known by different persons are 1,2,3,4,5. some other similar conditions . you have to find answers to four questions based n these facts.
6. say ona sacle of 100:85 have phones,80 cars,75 married,70 have houses. how many minimum persons are married,have phone car and houses on a scale of 100.
7. some series given3 10 20 27 54 61 _ans .162some other seriestrick: find suare root then add some number etc.
8. some conditions on x
9. afternoon temperatures of five days are recorded.each temperature is different.multiple is 12.
ans:-1,1,2,-2,3
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