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Which of the following statements are correct? 1. The pair (AB) is controllable implies that the pair (ATBT) is observable. 2. The pair (AB) is controllable implies that the pair (ATBT) is unobservable. 3. The pair (AC) is observable implies that the pair (ATCT) is controllable. 4. The pair (AC) is observable implies that the pair (ATCT) is uncontrollable. where: A, B and C are having their standard meanings
Which is the following statement is/are true? I. Odd + Odd = Even II. Odd + Odd + Odd = Odd
There are two rows, each containing 3 numbers. Some rules are given below to be used for obtaining the resultant number for each row separately. Apply the rules for each row from left to right and answer the question. Rules: i. If an even number is followed by an even number, the first is to be subtracted from the second. ii. If an odd number is followed by an odd number, both are to be added. iii. If an odd number is followed by an even number, the even number is to be subtracted from the square of the odd number. iv. If an even number is followed by an odd number, the odd number is to be subtracted from the even number. Row I: 28, 19, 12 Row II: 13, 7, 32 What is the average of the resultant numbers of the first row and the second row?
There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question. Rule: 1. If an even number is followed by an even number, then the first number will be subtracted from the second. 2. If an odd number is followed by an odd number, then both will be added. 3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number. 4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number. Row I: 9,11, 34 Row II: 16, 9, 8 What is the difference between the resultant numbers in the first row and the second row
Let the statement be “If n is not an odd integer then sum of n with some not odd number will not be odd.”, then if P(n) is “n is an not an odd integer” and Q(n) is “sum of n with some not odd number will not be odd.” A proof by contraposition will be ________
Abhishek ordered 6 pair of red shoes and some pair of books. The price of a pair of red shoes is double than that of a pair of book. While preparing the bill the shopkeeper interchanged the number of pair of shoes and books by mistake which increased the bill by 40%. What was the ratio of the number of pair of red shoes and the number of pair of books in the original order?
Which of the following statement is true? I. Odd × Odd × Odd = Even II. Odd × Odd = Even
A leading shoe manufacturer produces a pair of Lebron James signature shoes at a labor cost of P 900.00 a pair and a material cost of P 800.00 a pair. The fixed charges on the business are P 5,000,000 a month and the variable costs are P 400.00 a pair. Royalty to Lebron James is P 1,000 per pair of shoes sold. If the shoes sell at P 5,000 a pair, how many pairs must be produced each month for the manufacturer to break-even?
In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. All prime are even. II. Some even are odd. Conclusions: I. Some odd are prime. II. All odd are even. III. No odd is prime.
Which of the following statement/statements is/are true? I. Odd × Even = Odd II. Odd × Odd = Even