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Algebra Level 1 Test 7

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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%%

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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 (a^{3} + b^{3})

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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