AIEEE Questions

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Ans. 
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159

There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.

 Number of 7 digit numbers = 7!3!×2! = 420

But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.

=6!3!×2! = 60

Hence the required number of 7 digits numbers = 420 - 60 = 360

Here the given words follow a relation in such a way that, grapes are made into wine. Similarly, squid are made into calamari.

Hence, Grapes : Wine :: Squid : Calamari

The given number series is 18, 90, 450, 2250, ?

18

18 x 5 = 90

90 x 5 = 450

450 x 5 = 2250

2250 x 5 = 11250

Hence, the next number in the given series is 11250.