Quiz 1(B)

Question 1

Time: 00:00:00

How many values of c in the equation x^2-5x+c result in rational roots which are intergers?

1

3

6

infinite

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Question 2

Time: 00:00:00

if 1/a + 1/b + 1/c=1/(a+b+c) where a+b+c not = 0,abc not = 0 what is the value of (a+b)(b+c)(c+a)?

equals 0

greater than 0

less than 0

cannot be determined

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Question 3

Time: 00:00:00

A natural number has exactly 10 divisors including 1 and itself. how many distinct prime factors can this natural number can have?

Either 1 or 2

Either 1 or 3

Either 2 or 3

Either 1, 2 or 3

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Question 4

Time: 00:00:00

When a certain number x is multiplied by 18, the product y has all digits as 4s.what is the minimum number of digits x can have?

8

9

12

18

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Question 5

Time: 00:00:00

Z is a number in decimal system such that Z=260*1024+73*512+128*129+81+9. Let Y be the octal representation of 'Z' (that is representation of 'z' in a number system to the base 8 is 'Y'). How many times will the digit 3 be there in 'Y'?

2

3

4

5

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Question 6

Time: 00:00:00

If both 117 and 88 are factors of the numbers a*47*64*1313, then what is the smallest possible value of a?

10296

429

9

99

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Question 7

Time: 00:00:00

How many solutions exist for sqrt(x+5)=x(sqrt(x+5)) options are

1

2

3

4

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Question 8

Time: 00:00:00

If q, r > 0, then roots of equation x2 + qx + r = 0 are

Both negative

Both positive

Of positive sign but equal magnitude

Of opposite sign

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Question 9

Time: 00:00:00

99^n is such a number begin with 8, least value of n, for which this is true?

11

10

9

n doesn\'t exist

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Question 10

Time: 00:00:00

The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. How many such no are there

2

4

6

7

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