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Algebra Level 1 Test 7

Congratulations - you have completed Algebra Level 1 Test 7. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%%
 Question 1
If sum of the two numbers is 18, find the maximum value of the product?
 A 81 B 17 C 36 D 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
 Question 2
If (a + b) = 32 and ab =255, find (a3 + b3)
 A 8288 B 5034 C 9218 D 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
 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?
 A 848 B 847 C 846 D none
Question 3 Explanation:
Let the number be A
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
 A 2 B 0 C 1 D 3
Question 4 Explanation:
The answer can be find out by = x=0 or x=1
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.
 A -3,-6 B 3, 6 C 6,-6 D -3, 6
Question 5 Explanation:
The sum of roots= x +2x = 9
( -b/a )hence x= 3 & 2x = 6
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