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Subject :IMO    Class : Class 1

Alisha is thinking of a 5-digit even number. The first digit is 4 more than the smallest odd number. The second digit is a common factor of the numbers 2 and 11. The third digit is the product of the first 2 digits. The sum of the fourth and fifth digit is 9. The fifth digit is a multiple of 6. What is the number Alisha thinking of?

A 41436
B 41463
C 51536
D 51563


Ans 1:

Class : Class 5
hi

Ans 2:

Class : Class 8
Smallest odd number = 1 4 more than the smallest odd number is 5 ∴ First digit is 5 Factors of 2 are 1, 2 Factors of 11 are 1, 11 Common factor of 2 and 11 is 1 ∴ Second digit is 1 Product of first two digits = 1 × 5 = 5 ∴ Third digit is 5 Single digit multiple of 6 is 6 itself. ∴ Fifth digit is 6 Now, sum of fourth digit and fifth digit is 9. ∴ Fourth digit = 9 - 6 = 3 ∴ Required number = 51536

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