# 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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