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1. A die needs to made with following conditions, 1 and 6 , 2n5 and 3n4 respectively on opposite sides. how many combinations can be made in order to make a die with above conditions.

2. Similar the Celsius-Fahrenheit scale . A different measurement was use in which System A measured 14 and System B 36. Another reading gave System A measured 84 and System B measured 138. At what temperature both System A and B have the same temperature?

4. a man goes out from his house at 3 pm and came back at 9 pm.he walk down the road at 4 km/hr,then on hill top at 3 km/hr and return from hill at 6 km/hr.then he went bak to his home with the same 1st path.wat was his one way distance travelled?

5. A jeweller makes a window display. he has 7 gems of which he needs to display 6. three on the left side of the pane on three on the right. with following conditions. let the gems be Armanet, diamond, emerald , sapphire , garnet, opal and ruby.armanet should be always displayed on left side diamond always on the rightruby should neither be kept with diamond or garnet. emerald and sapphire should always be on the same side.

1]what are the possible combinations on the possible for left pane.

a] armanet,garnet , opal

b] armanet, ruby, garnet

c] diamond, emerald , sapphire

d] armanet , emerald, garnet

2]what are the possible combinations on the possible for right pane.

a]diamond, garnet , opal

b]diamond, ruby, opal

c]armanet,emerald, sapphire

d]diamond,garnet,ruby

6. A horse travels half the distance with no load at a speed of 12 miles/hr. The other hal mile the horse is loaded and it travels with a speed of 4 miles\hr. What is the average speed of the horse?

One day Harry and I set our watches together. None of us was aware that my watch was getting faster by 2 min per hour and Harry’s watch was getting slower by 1 min per hour. After sometime, we discovered that my watch was 1 hr ahead of Harry’s watch. Can you find out after how long we noticed this ? (3 Marks)

8. There is a peculiar island where a man always tells truth and a women never says two 2 consequtive truth or false statements that is if she says truth statement then she says false statement next and vice versa. a boy and girl also goes in the same way. one day i asked a child " what r u a boy or a girl" howver the child replied in their language that i dint understand

but the parents knew my language and one parent replied that " kibi is a boy" the other one said that "no kibi is a girl, kibi lied"(8 marks)

a: is kibi a boy or a girl

b: who ansered first mother or father?

b. mother answered first.( i think its correct but check it out)

9. We are given 100 pieces of a puzzle. If fixing two components together is counted as 1 move ( a component can be one piece or an already fixed set of pieces), how many moves do we need to fix the entire puzzle.

10. Find the next term of the series:
a) 1,2,3,5,16,__
b) 1,2,3,8,__,224