Mathematics Test 195

Result

Mathematics Test 195

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Weekly Quiz Competition

Question 1
4 / -1

If the axes of an ellipse coincides with the co-ordinate axes and it passes through the point (4, –1) and touches the line x + 4y – 10 = 0 then the equation is

A

B

C

D

Solution
Question 2
4 / -1

A
1/8

B
1/16

C
1/32

D
1/64

Solution
Question 3
4 / -1

Consider the following statements

p : A tumbler is half empty.

Q: A tumbler is half full.

Then, the combination form of “p if and only if q” is

A
a tumbler is half empty and half full

B
a tumbler is half empty if and only if it is half full

C
Both (a) and (b)

D
None of these

Solution

The given statements are

p : A tumbler is half empty.

Q: A tumbler is half full.

We know that, if the first statement happens, then the second happens and also if the second happens, then the first happens. We can express this fact as

If a tumbler is half empty, then it is half full.

If a tumbler is half full, then it is half empty.

We combine these two statements and get the following. A tumbler is half empty, if and only if it is half full.
Question 4
4 / -1

The sum of squares of deviations for 10 observations taken from mean 50 is 250. Then co-efficient of variation is

A
50%

B
10%

C
40%

D
None of these

Solution
Question 5
4 / -1

Given that n is odd, the number of ways in which three numbers in A.P. can be selected from 1, 2, 3, ..., n is

A

B

C

D

Solution
Question 6
4 / -1

A
f is both one-one and onto

B
f is one-one but not onto

C
f is onto but not one-one

D
f is neither one-one nor onto.

Solution
Question 7
4 / -1

A
0

B

C

D

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A
[0, √2]

B
[–√2, 0]

C
[–√2, √2]

D
None of these

Solution
Question 10
4 / -1

Choose the correct statements –

A

B

C

D

Solution