» Q. Student of a class are made to stand in rows. If 4 student are extra in a row, there would be 2 rows less. If 4 student are less in a row, there would be 4 more rows, find the number of student in the class.

Options

1) 16

2) 32

3) 48

4) 64

5) 72

6) 88

7) 96

8) 108

9) 120

10)None of these

Answer for this question as comment

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» Q. If the root of the quadratic equation x^2-4x-log a(base3)=0 are real, then find the least value of a.

Options

1) 1/16

2) 1/8

3) 1/2

4) 1/9

5) 1/36

6) 1/27

7) 1/64

8) 1/72

9) 1/81

10)None of these

Answer

9

Explanation

Since the root of the given equation are real

Discriminant >= 0

16 + 4 log a(base3)>=0

log a(base3)>= -4

a >= 3^-4

a >= 1/81

option 9

or

For real root (-4)^2 - -4*1*(-log a(base3))>=0

or, 16+log a(base3)>=0

16>=-log a(base3)...(1)

so here least value of a according to the option 1/81 which satisfied (1)

so option is 9

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