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Algebra Level 1 Test 7
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Question 1 |
If sum of the two numbers is 18, find the maximum value of the product?
81 | |
17 | |
36 | |
80 |
Question 1 Explanation:
a+b= 18
a x b will be maximum when a - b =least
( which means the numbers are equal and their difference = zero )
Hence answer => 9 x 9 = 81
a x b will be maximum when a - b =least
( which means the numbers are equal and their difference = zero )
Hence answer => 9 x 9 = 81
Question 2 |
If (a + b) = 32 and ab =255, find (a3 + b3)
8288 | |
5034 | |
9218 | |
6698 |
Question 2 Explanation:
As a x b = 255 = so possible pairs are 17*15 ,
85*3 So only possible pair for a+b= 32 is when a=17 b=15
Hence, the sum of cubes = 3375+4913= 8288
85*3 So only possible pair for a+b= 32 is when a=17 b=15
Hence, the sum of cubes = 3375+4913= 8288
Question 3 |
A number is added to 4/7 th of its value, the sum of both the numbers is = 1331, then what is the number?
848 | |
847 | |
846 | |
none |
Question 3 Explanation:
Let the number be A
Therefore A + 4A/7 = 1331
By solving A = 847
Therefore A + 4A/7 = 1331
By solving A = 847
Question 4 |
Let f(x) = max (3x + 2, 7-5x), where x is integer. Then the minimum possible value of f(x) is
2 | |
0 | |
1 | |
3 |
Question 4 Explanation:
The answer can be find out by = x=0 or x=1
Hence f(x) minimum is  2
Hence f(x) minimum is  2
Question 5 |
If one root of the equation x^2 -9x +18 =0 is half of the roots, find the roots.
-3,-6 | |
3, 6 | |
6,-6 | |
-3, 6 |
Question 5 Explanation:
The sum of roots= x +2x = 9Â
( -b/a )hence x= 3 & 2x = 6
( -b/a )hence x= 3 & 2x = 6
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