Mathematics Test 187

Result

Mathematics Test 187

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Weekly Quiz Competition

Question 1
4 / -1

The distance between the foci of an ellipse is 10 and its latus rectum is 15. Its equation referred to its axes as axes of coordinates is

A
3x² + 4y² = 300

B
2x² + y² = 50

C
10x² + 15y² = 300

D
None of these

Solution
Question 2
4 / -1

If {x} denotes the fractional part of x, then , where [a] denotes the integral part of a, is equal to

A
0

B
1/2

C
e – 2

D
None of these

Solution
Question 3
4 / -1

Consider the following statements

A

B

C
Both (A) and (B)

D
None of these

Solution
Question 4
4 / -1

In an experiment with 15 observations on X, the following results were available On observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is

A
78.00

B
188.66

C
177.33

D
8.33

Solution
Question 5
4 / -1

Two numbers x and y are chosen at random (without replacement) from amongst the numbers 1, 2, 3, .....2004. The probability that x³ + y³is divisible by 3 is

A
1/3

B
2/3

C
1/6

D
1/4

Solution
Question 6
4 / -1

A
{(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}

B
{(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}

C
{(3, 3), (3, 5), (5, 3), (5, 5)}

D
{(3, 3), (3, 4), (4, 5)}

Solution
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

If A is a square matrix, then AAT is a

A
skew-symmetric matrix

B
symmetric matrix

C
diagonal matrix

D
None of these

Solution
Question 9
4 / -1

If [ ] denotes the greatest integer less than or equal to the real number under consideration and –1 ≤ x < 0; 0 ≤ y < 1; 1 ≤ z < 2 , then the value of the determinant is

A
[z]

B
[y]

C
[x]

D
None of these

Solution
Question 10
4 / -1

A
1

B
-1

C
-1/2

D
x

Solution