ZS Associates Questions on Equations with Solutions

Question 1

Time: 00:00:00
Q. ax^2+bx+c = 0 has two roots x1 and x2. If mode x1 = mode x2, 
then

a>c

a>c

b>c

b>c

c>a

c>a

none

none

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Question 2

Time: 00:00:00
How many values of c in the Equation x^3-5x+c result in rational
roots which are integers?

1

1

3

3

0

0

infinity

infinity

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Question 3

Time: 00:00:00
If 1/a + 1/b + 1/c = 1 / (a + b + c); where a + b + c 10; abc 10, 
then what is the value of ( a+ b ) ( b + c ) ( c + a )?

Equal to 0

Equal to 0

Greater than 0

Greater than 0

Less than 0

Less than 0

Cannot be determined

Cannot be determined

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Question 4

Time: 00:00:00
X and Y are the integers. Possible different solutions of 
2|x| + 3|y|=100 ...

16

16

33

33

66

66

132

132

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Question 5

Time: 00:00:00
y=x/(x-k),where k is a constant,and x is real number.
Which of the following statements is true?

y increase with the increase in x.

y increase with the increase in x.

y decreases first and then increases with the value of x.

y decreases first and then increases with the value of x.

y increases then decrease with the value of x.

y increases then decrease with the value of x.

y remains constant

y remains constant

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Question 6

Time: 00:00:00
if v,w,x,y,z are non negative integer, each less than 11,then 
how many distinct combinations(w,v,x,y,z) satisfy
v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001.

0

0

1

1

2

2

3

3

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Question 7

Time: 00:00:00
The Range of the function f(x) = (x - 2) / (2 - x) is..

-1 to 1

-1 to 1

0 to 1

0 to 1

-1 to 0

-1 to 0

None of above

None of above

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Question 8

Time: 00:00:00
1/x+1/y=1/z where x=12 and y,z positive integer how many possible 
values of y and z?

4

4

7

7

12

12

infinite

infinite

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Question 9

Time: 00:00:00
find the number of value of x where (2x+9)^2/(x+3) value
is the integer?

2

2

4

4

6

6

infinity

infinity

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Question 10

Time: 00:00:00
How many values of c in equation x^2-5x+c result in rational 
roots which are integers.

1

1

3

3

6

6

infinity

infinity

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["0","40","60","80","100"]
["Need more practice! \r\n \r\n","Keep trying! \r\n \r\n","Not bad! \r\n \r\n","Good work! \r\n \r\n","Perfect! \r\n \r\n"]

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