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If “multiplication” of two numbers is denoted as “Summation” of two numbers, “Summation” of two numbers is denoted as “Division” of two numbers, “Division” of two numbers is denoted as “Subtraction” of two numbers, and then what is the value of 10 + 5?
A point z has been plotted in the complex plane, as shown in figure below.
Complex Variable mcq question image
The plot for point $$\frac{1}{{\text{z}}}$$ is
Given below are six sentences. A and F are the first and the last sentences. The rest of the sentences namely B, C, D and E are jumbled. Select the option that gives their correct order. A. The well was highly useful to the people who lived in the surrounding huts. B. The well was dangerous: but it had been there for so long that no one worried about it. C. Consequently, the mouth of the well had gradually widened as the soil and rocks on the side fell in. D. There had never been any money for a wall around the well. E. They had dug it two years before because the only water tap in the colony was not enough for the slum’s growing population. F. Apart from a chicken that had fallen in and had been rescued, the well seemed harmless.
The magnitude and phase of the complex Fourier series coefficient ak of a periodic signal x(t) are shown in the figure. Choose the correct statement from the four choices given. Notation: C is the set of complex number, R is the set of purely real numbers, and P is the set of purely imaginary numbers.
Signal Processing mcq question image
The average of 13 numbers is 57. The average of the first three numbers is 8 less than that of 13 numbers and the next seven numbers is 2 more than that of 13 numbers. The 11th number is two times the 12th number and 12th number is 1 less than the 13th number. What is the average of 11th and 12th numbers?
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?
Renu's grandmother shows her a dried-up well and tells her that 15-20 years ago there was water in the well, but now it has completely dried up. What could be the reason(s) for drying up of water in the well ? A. The soil around the trees, well and nearby area is now covered with cement. B. A lot of boring pumps have come up in the nearby area. C. Nobody uses the well as there are taps in everybody's house now.
Identify the diagram that best represents the relationship among the classes given. Even Numbers, Real Numbers, odd Numbers, Complex Numbers, Prime Numbers
There are 4 consecutive odd numbers, x1 , x2 , x3 and x4 and three consecutive even numbers y1 , y2 and y3 . The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x1 , x2, x3 and x4?
There are 4 consecutive odd numbers (x1, x2, x3 and x4) and three consecutive even numbers (y1, y2 and y3). The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x1, x2, x3 and x4?