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Find out highest possible number

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Number Puzzle #142

Find out or make out the highest possible number  by moving only two sticks

make out highest possible number

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Its very tricky question
highest possible number we can make is 511108, by moving two matchsticks of first 0 and placing it after 5 to add one additional 1.

3 accessories with 100 rupees

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A man buy 3 accessories with 100 rupees. first one 5 rupees, second one 3 rupees, third one 0.5 rupees each. he bought total 100 pieces. How many pieces he bought for each accessory ?

First Accessory

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Second Accessory

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Third Accessory

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lets say he bought x,y and z pieces.
Then we can make these two equations
Eq1: x + y + z = 100
Eq2: 5x + 3y + 0.5z = 100

2*Eq2 => 10x + 6y + z = 200
2*Eq2-Eq1 => 9x + 5y = 100
from this equation x should be a multiple of 5, for x = 5 => y = 11
for x = 10 => y = 2
for x = 15 or more y becomes -ve

So two possible answers
x = 5, y = 11, z = 84
x = 10, y = 2, z = 88

Tell the numbers represented by….BLUE, RED, GREY?

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Number Puzzle #141

Find the numbers represented by Blue, Red and grey dots
Screenshots_2015-05-28-10-17-36

Blue:

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Red:

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Grey:

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Grey is 5 as 5*3 = 15, last digit matches.
Now For red, last digit should be 4 such that 4+1 becomes 5, thus it will red digit is 8.
Blue digit sum should be 3 to make it 5, thus blue is 1.

Vessel with water and syrup

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vessel-with-water-and-syrup
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

A. 1/3
B. 1/4
C. 1/5
D. 1/7

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Lets assume that we take x part of the mixture out, and assuming uniform distribution of water and syrup, we can say out of the x part, 3x/8 was water and 5x/8 was syrup, now on replacing this x part by water, both water and syrup part should become equal, we can form the below equation

Water Part = Syrup part
3 – 3x/8 + x = 5 – 5x/8
x +2x/8 = 2
5x/4 = 2
x = 8/5

initially total quantity was 8(i.e. 3+5), and we should take out 1/5th part out and replace it with water to make both equal.

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