M4maths Previous Puzzles

30 Aug 2016 What is the value of 19^2

If
11^2 = 9
14^2 = 77
then
19^2 = ?

OPtion

1) 36
2) 45
3) 42
4) 38
5) 76
6) 25
7) 72
8) 52
9) 68
10)35

Solution

11^2 = 121 = (2-1)*10 + (1-2) = 10-1 = 9
14^2 = 196 = (9-1)*10 + (6-9) = 80-3 = 77
Similarly
19^2 = 361 = (6-3)*10 + (1-6) = 30-5 = 25

Option 6)

Correct Option: 6 Best Solution (7)

Lakshmi Narayanan.k   8 years AGO

11^2=121,now 121 is written as 112.121-112=9.
14^2=196,now 196 is written as 119,196-119=77.
19^2=361,now 361 is written as 336,361-336=25(option 6)

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Sandip Das   8 years AGO

11^2=121=21-12=9
14^2=196=96-19=77
similarly
19^2=361=61-36=25

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Mukund Manohar   8 years AGO

11^2 = 121 = 21 - 12 = 9 (last two digits - first two digits)
Similarly,
14^2 = 196 = 96 - 19 = 77
19^2 = 361 = 61 - 36 = 25

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Ajith Selvin.S   8 years AGO

11*11 =121.Foget the last digit that is 1 and add the first digit of 121 which is 1 so it Wil become 112..121-112=9
similarly 14*14=196.. Forget the last digit that is 6 and add first digit again to it which becomes 119 ..so now 196-119=77

now for 19 do the same and answer will be 25

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Dinesh kumar sah   8 years AGO

As series is given that
11^2=9
if we analyze carefully we will get 9 as the difference between the last two digits to the 1st two digits in the square of 11 .
ie 121--->21-12=9
similarly we can calculate
14^2=196--->96-19=77
So, 19^2=361--->61-36=25 Ans
Hence Option (6) is the right answer.

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tejaswi A   8 years AGO

11^2=9
{
9=11*11-112
where 112 is derived from 121 which is square of 11
}
14^2=77
{
77=196-119
}
hence
19^2=361-336=25
}

Like? Yes | No (1)  

hari vishnu   8 years AGO

11^2=121
|12-21|=9
similarly for 196
|19-96|=77
therefore for 361
the answer is 25

Like? Yes | No (1)