other Maths Puzzle Numerical Ability

In trapezoid ABCD with BC parallel to AD,let BC=1000 and AD=2008.let measure of angles A and D be 37 and 53 degrees,M and N be the midpoints of BC and AD,respectively.The length of MN is A)500 B)400 C)404 D)504

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other Other Question

On a cold winter’s night that was so deep, the poor shepherds lay huddled amongst their sheep. If there were 100 heads and 300 legs in the field, how many sheep did the shepherds have?

The First Noel The first Noel the angles did say
Was to certain poor shepherds in fields as they lay
In fields where they lay keeping their sheep
On a cold winter’s night that was so deep.

Details and assumptions

A sheep has 4 legs, a shepherd has 2 legs.
Which of the following is a counterexample for this conditional statement?

""""If the sum of two numbers is even, then those numbers are both odd.""""

Answers:

2&3

3&3

1&6

2&6

3&9

which of the above option is correct??

( you just have to write the correct option number)

Remember>.....

~~~~{{A counterexample is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.}}~~~