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These are two set of series : Series 1: It contains four consecutive odd numbers, whose average is 28. Series 2: It contains three consecutive even numbers. The sum of the second and third number of series 1 is equal to the largest number of series 2. Find the sum of all the numbers of series 2.
In a survey of 100 students, it was found that 25 students have enrolled for Navy AA test series, 26 students have enrolled for NDA test series, 26 students have enrolled for Airforce group X test series, 9 students have enrolled for both Navy AA and Airforce group X test series, 11 students have enrolled for both Navy AA and NDA test series, 8 students have enrolled for both NDA and Airforce group X test series whereas 3 students have enrolled in all three test series. Find the number of students who has not enrolled in any of the test series.
In a survey of 100 students, it was found that 25 students have enrolled for Navy AA test series, 26 students have enrolled for NDA test series, 26 students have enrolled for Airforce group X test series, 9 students have enrolled for both Navy AA and Airforce group X test series, 11 students have enrolled for both Navy AA and NDA test series, 8 students have enrolled for both NDA and Airforce group X test series whereas 3 students have enrolled in all three test series. Find the number of students who have enrolled exactly in any two test series.
In a survey of 100 students, it was found that 25 students have enrolled for Navy AA test series, 26 students have enrolled for NDA test series, 26 students have enrolled for Airforce group X test series, 9 students have enrolled for both Navy AA and Airforce group X test series, 11 students have enrolled for both Navy AA and NDA test series, 8 students have enrolled for both NDA and Airforce group X test series whereas 3 students have enrolled in all three test series. Find the number of students who have enrolled in exactly one test series.
The question below is followed by statements I, II, and III. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The difference between the compound interest and simple interest on a certain sum at a certain rate of interest per annum for two years is 204.20. What is the amount received on the sum of compound interest at the same rate of interest at the end of three years. I. The difference between the compound interest and the simple interest on the sum for three years is 804.258. II. The sum becomes Rs. 14528 at the end of one year. III. The compound interest on the sum for two years is 7% more than the simple interest on the sum for two years.
Let x(t) be a periodic function with period T = 10. The Fourier series coefficients for this series are denoted by $${a_k}$$ , that is
$$x\left( t \right) = \sum\limits_{k = - \infty }^\infty {{a_k}{e^{jk{{2\pi } \over T}t}}} .$$
The same function x(t) can also be considered as a periodic function with period T' = 40. Let bk be the Fourier series coefficients when period is taken as T'. If $$\sum\limits_{k = - \infty }^\infty {\left| {{a_k}} \right|} = 16,$$    then $$\sum\limits_{k = - \infty }^\infty {\left| {{b_k}} \right|} $$  is equal to
S1 is the series of five consecutive multiples of four, whose Sum is 100 and S2 is the series of four consecutive even number. If second number of S2 series is 6 less than highest number of S1 series, then find the average of S2 series?
Four friends born between (1991 – 99) meets at 2020. The ratio of sum of age of two oldest guys: Sum of age two youngest guys is 9 ∶ 8. Again when they meet at 2030, the ratio of (sum age of youngest + oldest) and (sum of ages of other two) is 1 ∶ 1. What is the sum of the age of the third youngest guy and second youngest guy in the year 2020? (in years)
Consider a fully-associative data cache with 32 blocks of 64 bytes each. The cache uses LRU (Least Recently Used) replacement. Consider the following C code to sum together all of the elements of a 64 by 64 two-dimensional array of 64-bit double-precision floating point numbers. double sum (double A [64] [64] ) { int i, j ; double sum = 0 ; for (i = 0 ; i < 64; i++) for (j = 0; j < 64; j++) sum += A [i] [j] ; return sum ; } Assume all blocks in the cache are initially invalid. How many cache misses will result from the code?
What will be the output of the following Java program? public class SumOfArray {     public static void main(String[ ] args) {         int [ ] arr = new int [ ] {1, 2, 3, 4};         int sum  = 0;         for (int i = 0; i < arr.length; i++)         {             sum = sum + arr[i];         }                      System.out.println("Sum of all the elements of an arry: " + sum);               } }