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Answer to Q98

Sally likes 225 but not 224; she likes 900 but not 800; she likes 144 but not 145. Which does she like - 1600 or 1700?

1. Maybe she likes largest numbers?
225 > 224
900 > 800
but 144 < 145
So, no

2. Maybe she likes numbers that adds up to 9?
225 = 2+2+5 = 9
900 = 9+0+0 = 9
144 = 1+4+4 = 9
But 1600 = 1+6+0+0 = 7 and 1700 = 1+7+0+0 = 8
So, no 😔 (so close)

Let's try again, maybe she likes perfect squares
√225 = 15
√900 = 30
√144 = 12

√1600 = 40 and √1700 = 41.2311

We got our answer, she likes perfect squares!

Answer: 1600

Answer to Q98

Sally likes 225 but not 224; she likes 900 but not 800; she likes 144 but not 145. Which does she like - 1600 or 1700?

1. Maybe she likes largest numbers?
225 > 224
900 > 800
but 144 < 145
So, no

2. Maybe she likes numbers that adds up to 9?
225 = 2+2+5 = 9
900 = 9+0+0 = 9
144 = 1+4+4 = 9
But 1600 = 1+6+0+0 = 7 and 1700 = 1+7+0+0 = 8
So, no 😔 (so close)

Let's try again, maybe she likes perfect squares
√225 = 15
√900 = 30
√144 = 12

√1600 = 40 and √1700 = 41.2311

We got our answer, she likes perfect squares!

Answer: 1600


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