Firstly 17 tens = 17 x 10 = 170
17 tens = 170 in unit form can be written as 1 hundred, 7 tens, 0 ones.
x ? y = 5
4x ? 6y = 6
x = 12 y = 7
Let?s break it down. The product of their ages is 72. So what are the possible choices?
2, 2, 18 ? sum(2, 2, 18) = 22
2, 4, 9 ? sum(2, 4, 9) = 15
2, 6, 6 ? sum(2, 6, 6) = 14
2, 3, 12 ? sum(2, 3, 12) = 17
3, 4, 6 ? sum(3, 4, 6) = 13
3, 3, 8 ? sum(3, 3, 8 ) = 14
1, 8, 9 ? sum(1,8,9) = 18
1, 3, 24 ? sum(1, 3, 24) = 28
1, 4, 18 ? sum(1, 4, 18) = 23
1, 2, 36 ? sum(1, 2, 36) = 39
1, 6, 12 ? sum(1, 6, 12) = 19
The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.
2, 6, 6 ? sum(2, 6, 6) = 14
3, 3, 8 ? sum(3, 3, 8 ) = 14
Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.
1 Gallon = 3.785 kgs
Gallon is a unit of measurement of liquid.
We know that 1 gallon = 3.785 liters
But we know that,
1 cubic meter = 1000 lit or 1000 kgs
=> 1 lit = 1 kg
Hence, 1 gallon = 3.785 lit = 3.785 kgs.
Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself.
Composite Numbers :
A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself).
Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...
The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....
Clearly, while counting the numbers associated to the thumb will be 1,9,17,25,.........
i.e., numbers of the form (8n + 1 ).
where n=1,2,3...
Since 1994 = 249 × 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger and 1995 to the middle finger.
5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.
Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers.
Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer.
Therefore the given statement that 'Every rational number is an integer' is FALSE.
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