1)Out of 80 coins,one coin is counterfeit,what is the minimum number of weighing to find counterfeit coin?(Note:Counterfeit coin is lesser weight than fair coin)
a)5 or 7 b)5 or 6 c)6 or 7 d)8 or 6
Ans:(b)
Explanation:
count
First weighing 40 40 1
Second 20 20 2
Third 10 10 3
Fourth 5 5 4
Fifth 2 2 5 àTake four & weight it remaning one.
If the counterfeit coin is not present in the fifth step means weighing is equal.So the count is 5.
Otherwise
count
Sixth 1 1 6
Ans: 5 or 6
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2)In a row of 36 pupils,the first boy is followed by one girl,the second boy is folled by two girls,the third by 3 girls and so on like this.What is the number of girls in the second half of the row?
a)14 b)13 c)15 d)17
Ans:(c)
Explanation:
Total
Boy 1 1 1 1 1 1 1 1 =8
Girl 1 2 3 4 5 6 7 =28
Second half= 2+6+7=15
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3)John’s father will be twice his age 6 years from now.His mother was twice his age 2 years before.If john will be 24 from two years now.What is the difference between his fathers and mother’s age.
a)8 b)5 c)4 d)2
Ans:(a)
Explanation:
Father=F
Mother=M
F+6=2(J+6)---->(1)
M-2=2(J-2)--->(2)
J+2=24
J=22 ------------>(3)
Sub 3 in 1 and 2.Then we get
M=42
F=50
Difference is 8
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