Wednesday, 7 December 2016

IF 3+2+5=25, 4+1+9=45 then 8+7+6=??

IF 3+2+5=25, 4+1+9=45 then 8+7+6=??




Solution -

90
First add two digit the multiple in 3rd digit=Answer

3+2+5=25====3+2=5x5=25,
4+1+9=45 =====4+1=4x9=45
then 8+7+6======8+7=15x6=90

If 6 + 2 = 40, 4 + 3 = 25, 6 + 6 = 72, 5 + 10 = 125 then 7 + 1 = ??

If 6 + 2 = 40, 4 + 3 = 25, 6 + 6 = 72, 5 + 10 = 125 then 7 + 1 = ??




Solution -

7+1=7^2+1^2=49+1=50

Logic-- x^2+y^2=z
Such as 6+2=40
6^2+2^2=40

4+3=25
4^2+3^2=25

And so on .

Tuesday, 6 December 2016

Solve the popular algebraic equation by replacing alphabets with a digit: SEND + MORE = MONEY

Solve the popular algebraic equation by replacing alphabets with a digit and equation must be true as well?

SEND  + MORE  ======  MONEY  





Solution -

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What comes next in the series - 1, 9, 17, 33, 49, 73, ?

What comes next in the series - 1, 9, 17, 33, 49, 73, ?




Solution -

9 - 1 = 8
17 - 9 = 8
33 - 17 = 16
49 - 33 = 16
73 - 49 = 24
X - 73 = 24
X = 73 + 24 = 97

Monday, 5 December 2016

If, a + a = 10; a + @ = 15; a + e = 25 Then; a + @ + e = ??

If,

a + a = 10

a + @ = 15

a + e = 25

Then;

a + @ + e = ??






Solution -

Given,
a + a = 10
i.e.
2a = 10,
so a = 5.......................................(i)

a + @ = 15,
@ = 15 - a, but a = 5,
so @ = 10....................................(ii)

a + e = 25,
e = 25 - a, but a = 5,
so, e = 20.....................................(iii)

adding the three equations above, we have

a + @ + e = 5 + 10 + 20
which gives,

a + @ + e = 35

What is the missing number of the following sequence - 5, 39, 8, 9, 40, 11, 13, 27, 14, 15, ??, 17

What is the missing number of the following sequence - 5, 39, 8, 9, 40, 11, 13, 27, 14, 15, ??, 17




Solution -

5, 39, 8, 9, 40, 11, 13, 27, 14, 15, ......, 17
(5, 39, 8), (9, 40, 11), (13, 27, 14), (15, ......, 17)
a b c
b = c^2 - a^2
8^2-5^2 = 64-25 = 39
11^2-9^2 = 121-81 = 40
14^2-13^2 = 196-169 = 27
Similarly
17^2-15^2 = 289-225 = 64

What Comes Next In The Sequence; 36, 31, 29, 24, 22, 17, 15, ?

36-31=5
31-29=2
29-24=5
24-22=2
22-17=5
17-15=2
15-x=5 ,..... 15-5=x

so x =10






Solution -

36 - 5 = 31
31 - 2 = 29
29 - 5 = 24
24 - 2 = 22
22 - 5 = 17
17 - 2 = 15
15 - 5 = 10.