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18 Jul 2024, 09:50
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set A ={-2,-1,0,1,2,3,4,5}
Smallest product of any 4 int:
(5*5*-2*5)=250
625 is not possible since -5 is not a part of the set
Largest negative value
1*1*1*-1=-1
Ans DA
Smallest product of any 4 int:
(5*5*-2*5)=250
625 is not possible since -5 is not a part of the set
Largest negative value
1*1*1*-1=-1
Ans DA
18 Jul 2024, 09:55
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Bunuel
The consecutive integers are -2, -1, 0, 1, 2, 3, 4, 5 and four integers are randomly chosen with repetitions allowed.
Smallest Possible value = negative integer with the highest absolute value (modulus value) = 5 * 5 * 5 * (-2) = - 250 (multiplying the numbers of highest absolute value repeatedly, with one smallest negative value to ensure negative sign)
Largest negative value = negative integer with the lowest absolute value (modulus value) = 1 * 1 * 1 * (-1) = -1 (multipling value to get answer close to zero)
18 Jul 2024, 10:01
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From the consecutive integers −2 to 5, inclusive, four integers are randomly chosen with repetitions allowed. Select the smallest possible value of the product of the 4 integers for Smallest value, and the largest negative value of the product of the 4 integers for Largest negative value.
To get the smallest value, we can maximise the magnitude by taking maximum possible integer i.e. 5.
Adding to that, we can then add a negative integer with maximum magnitude.
-2x5x5x5 = -250
As we move from left to right on the number line, negative values decrease in magnitude but become greater.
To get the largest negative value, we can minimize magnitude by taking minimum possible integer i.e. 1.
Adding to that, we can then add a negative integer with minimum magnitude.
-1x1x1x1 = -1
This also happens to be the largest possible negative integer.
Smallest value = -250 (Option D)
Largest negative value = -1 (Option A)
To get the smallest value, we can maximise the magnitude by taking maximum possible integer i.e. 5.
Adding to that, we can then add a negative integer with maximum magnitude.
-2x5x5x5 = -250
As we move from left to right on the number line, negative values decrease in magnitude but become greater.
To get the largest negative value, we can minimize magnitude by taking minimum possible integer i.e. 1.
Adding to that, we can then add a negative integer with minimum magnitude.
-1x1x1x1 = -1
This also happens to be the largest possible negative integer.
Smallest value = -250 (Option D)
Largest negative value = -1 (Option A)
