 Hello and welcome to the session. The given question says, which of the following sentences are statements give reason for your answer? First is, there are 35 days in a month. So first let us learn what is a mathematically acceptable statement. A sentence is called a mathematically acceptable statement if it is either true or false but not both. The first sentence which is given to us says, there are 35 days in a month. Now as we can see the maximum number of days in a month is 31, therefore this sentence is false and thus it is a statement. Therefore our answer is, this sentence is always false because the maximum number of days in a month 31, therefore it is a statement. Let us proceed on to the second part which says, mathematics is difficult. This is not a statement since some people will find mathematics easy while others find it difficult. Therefore this sentence can either be true or it can also be false. Therefore it is not a statement. Therefore our answer is, this sentence is not a statement. Some people, mathematics can be easy for some others it can be difficult. This completes the second part and now proceeding on to the third part which says, the sum of 5 and 7 is greater than 10. Now the sum of 5 and 7 is equal to 12 and this is greater than 10. Therefore this sentence is always true and thus it is a statement. Thus our answer is, this sentence is always true because the sum is 12 it is greater than 10. It is a statement. This completes the third part. Proceeding on to the next part which says, the square of a number is an even number. Now first let us take an odd number. 3 is an odd number and its square, 3 square is equal to 9 which is also an odd number. So this contradicts the sentence that the square of a number is an even number since square of 3 is an odd number. Therefore this sentence is not if we suppose an even number then its square is equal to 2 square is 4 and this is an even number. Thus we see that square of an even number is an even number and square of an odd number is an odd number. Therefore our answer is, this sentence is sometimes true times not true. For example as we have done above not a statement. Thus the sentence is sometimes true and sometimes not true. So this completes the D part. The next part says, the sides of a quadrilateral have equal length. So this sentence is also sometimes true and sometimes false are of equal length and the sides of rectangle trapezium have unequal length. Therefore it is not a statement. Let us write it down. For example not a statement. This completes the E part, says answer this question. Now it is an order therefore not a statement. Proceeding on to the next part which says the product of minus 1 at 8 is 8. Now in multiplying minus 1 with 8 we get minus 8 not 8. Therefore this sentence is false and thus it is a statement. Let us write it down. This sentence this sentence the product of minus 1 at 8 is minus 8. Therefore it is a statement. So this completes it. Is the sum of all interior angles of a triangle is 180 degree. Now we know that sum of three angles of a triangle is 180 degree. Therefore sentence is always true and therefore it is a statement. Proceeding on to the next part which says today is a windy day. Hence windy day is a relative term there are no fixed parameters to call a day to be a windy day. Moreover it is not known from the context which day is referred to. Therefore we cannot say whether the sentence is true or false. Therefore it is not a statement. As we can say it is not clear from the context which day and therefore it is not a statement. Now proceeding on to the last part which says all real numbers are complex numbers. Now from the theory of numbers we know that the set of real numbers is a proper subset of the set of complex numbers. That is all the real numbers x can be written as x plus iota into 0 and this is a complex number. Thus all the real numbers are complex number is the true sentence and therefore it is a statement. So our answer is true sentence real numbers and the written in the form time to 0. So this completes the last part. Hope you have understood the question well. Take care and bye for now.