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Nairaland Forum / Nairaland / General / Education / Let's See How Intelligent You Are (35252 Views)
Let's See How Clever You Are / How Intelligent Are U? Show Us Here. (2) (3) (4)
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Re: Let's See How Intelligent You Are by soloiky: 5:16pm On May 23, 2015 |
33 1 Like |
Re: Let's See How Intelligent You Are by ojaykaz(m): 5:16pm On May 23, 2015 |
36 jor |
Re: Let's See How Intelligent You Are by Usman212s: 5:17pm On May 23, 2015 |
33 1 Like |
Re: Let's See How Intelligent You Are by radiance26(f): 5:18pm On May 23, 2015 |
27 squares 1 Like |
Re: Let's See How Intelligent You Are by Nobody: 5:19pm On May 23, 2015 |
1stola:Reviewed Answer =40 |
Re: Let's See How Intelligent You Are by Nobody: 5:19pm On May 23, 2015 |
got tired after 40 |
Re: Let's See How Intelligent You Are by Gbawe: 5:20pm On May 23, 2015 |
It is 40. All those who said 40 are correct. |
Re: Let's See How Intelligent You Are by kreemzo1(m): 5:20pm On May 23, 2015 |
33 |
Re: Let's See How Intelligent You Are by michaelmo11(m): 5:20pm On May 23, 2015 |
35 squares 1 Like |
Re: Let's See How Intelligent You Are by chnovpaul(m): 5:22pm On May 23, 2015 |
Counted 40 squares
|
Re: Let's See How Intelligent You Are by kushfc(m): 5:22pm On May 23, 2015 |
34 squares 1 Like |
Re: Let's See How Intelligent You Are by KAPOVee: 5:24pm On May 23, 2015 |
17 |
Re: Let's See How Intelligent You Are by Emblj: 5:25pm On May 23, 2015 |
27 1 Like |
Re: Let's See How Intelligent You Are by Barezzi(m): 5:25pm On May 23, 2015 |
36! i counted every possible square |
Re: Let's See How Intelligent You Are by Threemg: 5:25pm On May 23, 2015 |
nikkiehan: 35 |
Re: Let's See How Intelligent You Are by Raysly(m): 5:25pm On May 23, 2015 |
falconey:
|
Re: Let's See How Intelligent You Are by olu77(m): 5:28pm On May 23, 2015 |
29 no more no less 1 Like |
Re: Let's See How Intelligent You Are by Chivee(f): 5:28pm On May 23, 2015 |
35.... Anybody counting more than this figure is probably including RECTANGLES.. Thank me later |
Re: Let's See How Intelligent You Are by Hayurdayle(m): 5:29pm On May 23, 2015 |
40 squuares available |
Re: Let's See How Intelligent You Are by Decentdamsel(f): 5:30pm On May 23, 2015 |
29 |
Re: Let's See How Intelligent You Are by ghettodreamz(m): 5:30pm On May 23, 2015 |
ghettodreamz: 1 Like
|
Re: Let's See How Intelligent You Are by cephsaidu(m): 5:30pm On May 23, 2015 |
16 boxes nikkiehan: |
Re: Let's See How Intelligent You Are by paris10: 5:30pm On May 23, 2015 |
It's so easy. You have to be really good in math to solve this. Those with little eyes problem won't see shiit. You your iq and be focus to the last detail. Answer is : 40 If you don't get 40, then stop guessing. Look very deep. |
Re: Let's See How Intelligent You Are by nobilie: 5:30pm On May 23, 2015 |
26 |
Re: Let's See How Intelligent You Are by ojaydedon(m): 5:31pm On May 23, 2015 |
Frankaka8:nah.. 38 |
Re: Let's See How Intelligent You Are by EmmanuelDon7(m): 5:31pm On May 23, 2015 |
There are exactly 40 squares. How? 4*4+3*3+2*2+1*1=30. Then we have oda smaller sqs (2*2+1*1)+(2*2+1*1)=10. Total squares r 40! |
Re: Let's See How Intelligent You Are by ojaydedon(m): 5:32pm On May 23, 2015 |
nikkiehan: 40 |
Re: Let's See How Intelligent You Are by kingston247: 5:32pm On May 23, 2015 |
35 |
Re: Let's See How Intelligent You Are by Diddy58(m): 5:33pm On May 23, 2015 |
that is just one square (1) |
Re: Let's See How Intelligent You Are by Nobody: 5:33pm On May 23, 2015 |
Is there a mathematical way to calculate it? i know the first set i counted was 4 * 4 = 16 (the small squares) the second was 16/4 = 4 the four corners of four small boxes the third set was 2 * 2 = 4, the two 4 box squares at the centre of both the horizontal and vertical median small aquares. then 1 four box square at the centre of the main square. 1 16 box square. (the main square) total so far = 26 then the two miniature squares: 1 * 2 = 2 the four squares with those 4 * 2 = 8 total so far: 36 then the four six box squares: 1* 4 = 4 total: 40 *modified* There is a mathematical explanation. God...I'm a slow poke. After thinking through, it's clear the number of squares in an n x n box of squares is the sum of the fiRST n terms of the sequence of square numbers. So this problem was simply (4*4 + 3*3 + 2*2 + 1*1) + 2 (2*2 + 1*1) = 40 Math is beautiful. No wonder it's named the sequence of square numbers Explanation 25, 5x5 = 55 (meaning: 25 squares arranged in a 5 by 5 square gives a total of 55 squares) <----prediction from deduction below 16, 4x4 = 30 (16 squares arranged in a 4 by 4 square has a gives of 30 squares) (counted) <--- observation used to make prediction below 9, 3x3 = 14 (9 squares arranged in a 3 by 3 square has a gives a total of 14 squares) (counted) 4, 2x2 = 5 (4 squares arranged in a 2 by 2 square gives a total of 5 squares)<----observation used to make prediction above 1, 1x1 = 1 (1 square arranged in a 1x1 square gives a total of 1 square)<----observation used to make prediction 0, 0X0 = 0 A different layout, same thing, but this time bottom up: 0 + 1 = 1 (from 1, 1x1 =1 .....i.e it can be written as 0 + 1,1x1 =1 but remove 1x1) 0 is the output total of a 0 square arranged in a 0x0 square. ^ 0 = 0 <--- further observation 1 + 4 = 5 (from 4, 2x2 = 5.....observe from above above. 1 + 4,2x2 = 5) 1 is the output total of a 1 square arranged in a 1x1 square ^ 1= 0+1<---further observation 5 + 9 = 14 (from 9,3x3 =14....5 + 9,3x3 = 14) 5 is the output total of 4 squares arranged in a 2x2 square, and so on ^ 5= 0+1+4<--further observation 14 + 16 = 30 (4 squares 4*4) ^ 14= 0+1+4 + 9 <--further observation prediction following this pattern: 30 + 25 = 55 (5 squares 5*5) ^ 30= 0+1+4+9+16 <--further observation from the further observation we see a progression (ie. 1-0, 4-1, 9-4, 16-9....: 1 3 5 7 9 11.... (this is the 2nd progression for the sequence of squares, so by now it should click that we're dealing with the sequence of squares) where 0,1,4,9,16... is the sequence of squares. Therefore from observations so far we can say that the total number of squares in an n x n square is the sum of the first n terms of the sequence of squares, starting from 0 as the first term + the square of n. the sequence of squares starting from 0 = 0 1 4 9 16 25 36... etc i.e 0*0, 1*1, 2*2, 3*3, 4*4,... so when n = 1 (sum of first n terms of sequence counting 0 as first term) + n*n = T (0) + 1*1 = 1 when n = 2 (0*0 + 1*1) + 2*2 = 5 when n = 3 (0*0 + 1*1+ 2*2) + 3*3 = 14 when n = 4 (0+1+4+9) + 16 = 30 when n = 5 (0+1+4+9+16) + 25 = 55 as observed. on further observation we see that the total, T = the sum of first n terms of the sequence if we count 0 as the 0th term. so when n = 1 T = 0*0 + 1*1 when n = 2 T = 0*0 + 1*1 + 2*2 and so on. Going back to the problem. we have a 4x4 square and 2 2x2 squares. The problem is to find the total number of squares. Therefore the answer = (0*0 + 1*1 + 2*2 + 3*3 + 4*4) + 2(0*0 + 1*1 +2*2) = 40 So the answer is unquestionably 40 squares.. 1 Like |
Re: Let's See How Intelligent You Are by chisom18: 5:34pm On May 23, 2015 |
27 jor |
Re: Let's See How Intelligent You Are by MoyoGENERAL: 5:34pm On May 23, 2015 |
Its 41 squares...too easy |
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