Direction[1-5]: In the question three columns are given and to find out the resultant of a particular column you need to follow the following steps:
Step 1: If an even number is followed by another even number, then the resultant will be the number which is obtained after the addition of both numbers and ‘4’ is subtracted from the total sum.
Step 2: If an odd number is followed by an even number, then the resultant will be obtained by dividing the smaller number by ‘2’ and subtract from the larger number.
Step 3: If an even number is followed by an odd number, then the resultant will be the multiplication of both the numbers.
Step 4: If an odd number is followed by another odd number, then the resultant will be the number which is next multiple of the obtained number after subtracting the smaller from the larger number.
Step 5: If a number which is the result of the addition of two consecutive perfect squares is followed by either odd/even numbers (may or may not be a perfect square number), then the resultant will be the next prime number after the addition of both the numbers.
1. Find the resultant of column 1, if U is half the sum of resultant of both the column 2 and column 3?
A. 88
B. 86
C. 96
D. 82
E. 56
2. Find the ratio of the resultant of column 1: column 2: column 3?
A. 33:10:21
B. 36:16:21
C. 33:14:19
D. 10:33:22
E. 45:17:11
3. Find the sum of all the resultants of all columns?
A. 133
B. 145
C. 141
D. 157
E. 188
4. Find the nal result if the resultants of the rst and second column are added and divided by ‘3’ and then added to the resultant of the third column, such that Z is the resultant of the rst column?
A. 103
B. 153
C. 133
D. 113
E. 136
5. Find the value of resultant U and A, if U is the resultant of column 3 and A is the resultant of column 2?
A. 4, 68
B. 6, 68
C. 64, 88
D. 64, 86
E. 8, 8
Answers and Explanations
1. Answer - Option D
Explanation -
In column 2,
According to step 1, 18 + 82 = 100 – 4 = 96
Then step 1, 96 + 8 = 104 – 4 = 100
Resultant of second column = 100
In column 3,
According to step 4, 21 – 11 = 10, the next multiple of 10 = 20
Then step 1, 20 + 16 = 36 – 4 = 32.
Resultant to third column = 32
U = [latex]\frac {(100 + 32)}{2} = 66[/latex]
In column 1,
According to step 4, 17 – 7 = 10 and its next multiple = 20
Then step 1, 20 + 66 = 86 – 4 = 82
Resultant of first column = 82.
2. Answer - Option A
Explanation -
In column 1,
According to step 1, 18 + 2 = 20 – 4 = 16
Then step 1, 16 + 54 = 70 – 4 = 66
Resultant to first column = 66
In column 2,
According to step 2, [latex]\frac {28}{2}[/latex] = 14, subtracted from ‘43’ = 43 – 14 = 29
Then step 4, 29 – 19 = 10, next multiple of 10 = 20
Resultant to second column = 20
In column 3,
According to step 5, 13 + 32 = 45 and its next prime number = 47
Then step 2, [latex]\frac {10}{2}[/latex] = 5 and subtracted from 47, 47 – 5 = 42
Resultant of third column = 42
Now, ratio = 33 : 10 : 21
3. Answer - Option C
Explanation -
In column 1,
According to step 1, 2 + 42 = 44 – 4 = 40
Then step 1, 40 + 52 = 92 – 4 = 88
Resultant to first column = 88
In column 2,
According to step 5, 5 + 22 = 27 and its next prime number = 29
Then step 2, [latex]\frac {12}{2}[/latex] = 6 and subtracted from 29, 29 – 6 = 23
Resultant to second column = 23
In column 3,
According to step 2, [latex]\frac {36}{2}[/latex] = 18, subtracted from 57, 57 – 18 = 39
Then step 2, [latex]\frac {18}{2}[/latex] = 9, subtracted from 39, 39 - 9 =30
Resultant of third column = 30
Now, sum of all resultants = 88 + 23 + 30 = 141
4. Answer - Option D
Explanation -
In column 1,
According to step 2, [latex]\frac {16}{2}[/latex] = 8 and subtracted from 29, 29 – 8 = 21
Then step 4, subtract 23 - 21 = 2 and its next multiple = 4
Resultant to first column = 4
In column 2,
According to step 5, 61 + 31 = 92 and its next prime number = 97
Then step 2, [latex]\frac {4}{2}[/latex] = 2 and subtracted from 97, 97 – 2 = 95
Resultant to first column = 95
Addition of first and second column and divided by 3 = [latex]\frac {(4 + 95)}{3}[/latex] = 33
In column 3,
According to step 1, 12 + 28 = 40 – 4 = 36
Then step 1, 36 + 48 = 84 – 4 = 80
Resultant of third column = 80
Now, addition of the resultants of the first and second column are added and divided by ‘3’ and the resultant of third column = 33 + 80 = 113
5. Answer - Option A
Explanation -
In column 3,
According to step 5, 13 + 41 = 54, and its next prime number = 59
Then step 4, 59 – 57 = 2 and its next multiple = 4
Resultant to first column = 4
In column 2,
According to step 1, 24 + 44 = 68 – 4 = 64
Then step 1, 64 + 4 = 68 – 4 = 64
Resultant to second column = 64
In column 1,
According to step 4, 51 – 39 = 12 and its multiple = 24
Then step 1, 24 + 64 = 88
Resultant of third column = 88
Now, U = 4, A = 64