Quadrilateral ABCD is inscribed in a circle with diameter AD = 4, if side AB and BC each have length 1, then find CD

1. 5/2

2. 3

3. 7/2

4. 4

5. none of these

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Correct Answer :

7/2

Explanation :
No Explanation available for this question

Given that a,b and c are roots of the equation x3 − ax2 + bx − c = 0.find the number of ordered triplets (a, b, c)

1. 0

2. 1

3. 2

4. 3

5. none of these

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Correct Answer :

Explanation :
No Explanation available for this question

Find the number of ordered pairs (x, y) of integers such that 55x2 + 2xy + y2 = 2007

1. 2

2. 4

3. 6

4. 8

5. 12

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Correct Answer :

Explanation :
No Explanation available for this question

Let X = 1, 2, 3...k and let S be any non-empty collection of subsets of X. Define S0 to be collection of all subsets of X that are subsets of an odd number of elements in S. Then

1. S = S

2. (S')' = S

3. S' = X

4. (S')'= X

5. none of the above

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Correct Answer :

(S')' = S

Explanation :
No Explanation available for this question

The diagonals AC and CE of a regular hexagon ABCDEF are divided by the internal points M and N such that AM/AC = CN/CE = r. Determine r if B,M and N are collinear.

1. 1

2. 1/3

3. 2/3

4. 1/2

5. none of these

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Correct Answer :

2/3

Explanation :
No Explanation available for this question

Abhishek fills numbers from ’1’ to ’5’ in a grid with 5 columns & 100 rows such that: 1)The number entered in any cell represents its column number from the left. 2)No two non-empty rows are identical. Find the maximum number of cells that he can fill in the grid

1. 31

2. 6

3. 77

4. 75

5. 80

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Correct Answer :

Explanation :
No Explanation available for this question

A + B + C + D = D + E + F + G = G + H + I = 17 where each letter represent a number from 1 to 9.Find out number of ordered pairs (D,G) if letter A = 4.

1. 0

2. 1

3. 2

4. 3

5. none of these

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Correct Answer :

Explanation :
No Explanation available for this question

A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share

1. Rs. 500

2. Rs. 1500

3. Rs. 2000

4. None of these

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Correct Answer :

Rs. 2000

Explanation :
No Explanation available for this question

A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have

1. Rs. 460

2. Rs. 484

3. Rs. 550

4. Rs. 664

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Correct Answer :

Rs. 484

Explanation :
No Explanation available for this question

A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs.2.40 the number of girls is

1. 35

2. 40

3. 45

4. 50

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Correct Answer :

Explanation :
No Explanation available for this question

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