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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
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?
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?
Gulshan went to market and bought a pair of gloves for Rs 600 from shop A. When he was returning he saw the same pair of gloves in Shop B being marked at Rs 640 and when he asked the shopkeeper they were ready to give him a discount of 25% on the marked price. Gulshan came up with an idea. He sold the pair of gloves bought from shop A at a loss of 10% and then returned buying the pair of gloves from shop B. How much he saves in this whole transaction?
What is the Fibonacci sequence, presented in 1202 in this problem: "A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?"
A good costs Rs. 12,000. A customer can choose either of the pairs of successive discounts. Pair A consists of successive discounts of 20% and 30% and pair B consists of 40% and 10%. Customer X chose pair A and customer Y chose pair B. What is the difference in their payment for the good?.
Two unequal pairs of numbers satisfy the following conditions: (i) The product of the two numbers in each pair is 2160 (ii) The HCF of the two numbers in each pair is 12. If x is the mean of the numbers in the first pair and y is the mean of the numbers in the second pair, then what is the mean of x and y?
Determine the correctness or otherwise of the following Assertion (A) and the Reason (R).
Assertion: The association constant in water for the G-C base pair is three times lower than that for the A-T base pair.
Reason: There are three hydrogen bonds in the G-C base pair and two in the A-T base pair.
Select the word pair in which the word pair is related in the same way as the following word pair. Smile : Laugh
Select the option that is related to the third letter-pair in the same way as the second letter- pair is related to the first letter-pair. RG : QE ∷ LB : ?