# Deloitte Algebra Questions and Answers Quiz-1

Question 1 Time: 00:00:00
How many values of c in the equation x^2-5x+c result in the rational root which is integer? 6

6

3

3

1

1

infinity

infinity

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Question 2 Time: 00:00:00
There are 72 students and 15 teachers in a school excluding principal. The principal has 3-digits odd no. quantities of .toffees and he equally distributes it among students & teachers, he gets 86 Toffees remain. If he distributes among teachers, he gets 14 Toffees remain. . If principal adds himself among teachers, how much coffee(s) will remain? 1

1

5

5

15

15

Can not be determined

Can not be determined

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Question 3 Time: 00:00:00
The sum of two numbers is 15 and their geometric mean is 20% lower than the arithmetic mean. find the numbers? 11,4

11,4

12,3

12,3

9,6

9,6

none

none

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Question 4 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

infinity

infinity

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Question 5 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 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? 1

1

2

2

3

3

zero

zero

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Question 7 Time: 00:00:00
y=x/(x-k),where k is a constant,and x is real number.show's that.... y increase with an increase in x.

y increase with an increase in x.

y decreases first and then increase the value of x.

y decreases first and then increase the value of x.

y increase then decreases with the value of x.

y increase then decreases with the value of x.

it remains constant.

it remains constant.

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Question 8 Time: 00:00:00
In a school 10% students get 70 marks,25% students get 80 marks,20% students get 85 marks,25% students get 90 marks, remaining get 95 marks.the average of students marks is an even number then least number of students? 20

20

80

80

100

100

200

200

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Question 9 Time: 00:00:00
If 1/a + 1/b + 1/c = 1 / (a + b + c); where a + b + c 1 0; abc 1 0, 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 10 Time: 00:00:00
if a base 1=139/3, a base 2= -19 and a base k= a base k-1 - a base k-2, then what will be the 62th term in the series? (k, k-1, k-2 are in base) 139/3

139/3

-19

-19

-196/3

-196/3

-19-139/3(-19-196/3)

-19-139/3(-19-196/3)

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