Quant Question Of The Day: 162
Numbers
For how many integral values of n, n2 + 8n + 49/ (n + 4) is always an integer.
1. 8
2. 16
3. 4
4. None of these
we can write n2 + 8n + 49 as (n2 + 2 × 4 × n + 42 + 33)
( n + 4)2 + 33
( n + 4)2 is always a multiple of n + 4. So, 33 should be divisible by n + 4
There are 4 positive factors of 33, (1, 3, 11 and 33) Hence, 2 × 4 i.e. 8 integral values of n.
See our previous ‘Questions of the Day’:
Quant Question Of The Day: 161
Quant Question Of The Day: 160
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