Number Based MCQ Quiz in தமிழ் - Objective Question with Answer for Number Based - இலவச PDF ஐப் பதிவிறக்கவும்

Here, in the question, elements are arranged in increasing order of their digital sum.

INPUT: 17 19 87 77 11 48 22 56 97 33 49 41

Step I: 11 17 19 87 77 48 22 56 97 33 49 41

Step II: 11 22 17 19 87 77 48 56 97 33 49 41

Step III: 11 22 41 17 19 87 77 48 56 97 33 49

Step IV: 11 22 41 33 17 19 87 77 48 56 97 49

Step V: 11 22 41 33 17 19 56 87 77 48  97 49

Step VI: 11 22 41 33 17 19 56 48 87 77 97 49

Step VII: 11 22 41 33 17 19 56 48 49 87 77 97

Step VIII: 11 22 41 33 17 19 56 48 49 77 87 97

This is the final step.

Hence, the total number of steps is VIII.

Logic:

1) In every steps, two numbers are changing their positions. 

2) In input, the lowest number which is 12, is first added by 1 which is 13 and getting placed at extreme left end. 

3) Similarly, the second lowest number among all, which is 22 is also getting increased by 1 which is 23 and is getting placed at the extreme right end of the input to give us Step I.

4) In this step II, the 3rd lowest number among all is first getting increased by 1 and is placed at the extreme left end of Step II and so is the case with the 4th lowest number.

Similarily, the complete process is:

Input: 88 59 28 94 37 75 15 64 71 48

Step I: 16 88 59 94 37 75 64 71 48 29

Step II: 38 16 88 59 94 75 64 71 29 49

Step III: 60 38 16 88 94 75 71 29 49 65

Step IV: 72 60 38 16 88 94 29 49 65 76

Step V: 89 72 60 38 16 29 49 65 76 95

So, step V is the last step.

So, 4th to left of 76 in step 5 is 16.

Hence, there two numbers between 72 and 4th to left of 76 in step 5, i.e., 60 and 38.

The logic here is as follows,

Step 1: Divide the first digit of the first number with the first digit of the fourth number. This gives the first digit of the first number in step 1. Now divide the second digit of the fourth number with the second digit of the first number. This gives the second digit of the first number in step 1.

9 ÷ 3 = 3, 4 ÷ 2 = 2 ⇒ 32

8 ÷ 2 = 4, 7 ÷ 1 = 7 ⇒ 47

5 ÷ 1 = 5, 8 ÷ 4 = 2 ⇒ 52

Step 2: Multiply the first digit of each number in step 2 and reverse the resultant to get the first number of step 2. Multiply the second digit of each number in step 2 and reverse the resultant to get the second number of step 2.

3 × 4 × 5 = 60 ⇒ 06

2 × 7 × 2 = 28 ⇒ 82

Step 3: Add the first digit of all the numbers in step 2 and divide it with 2, to get the first digit of step 3 and add the second digit of all the numbers in step 2 and divide it with 2, to get the second digit of step 3.

0 + 8 = 8 ÷ 2 ⇒ 4

6 + 2 = 8 ÷ 2 ⇒ 4

Step 4: Add all the digits of step 3 and subtract 1 from it, to get the final digit of step 4.

4 + 4 = 8 – 1 ⇒ 7

Now the same rule is applied for the given input.

The difference between the numbers of Step 3 = 6 – 1 = 5

Hence, the difference between the numbers is 5.

Logic:

1) The rearrangement is taking place from both left and right ends.

2) The rearrangement is taking place two numbers at a time.

In the following arrangement, the sum of the lowest number is arranged on the left side and simultaneously the difference between the highest number is arranged on the right side.

Input: 48 43 65 19 72 29 60 36

Step 1: 10 48 43 65 29 60 36 05

Step 2: 11 10 48 43 60 36 05 01

Step 3: 09 11 10 48 43 05 01 06

Hence, the number that is third to the left of 48 in step 3 is 09.

In the given Input-Output question the logic is:

step I- All the digits of the given numbers are interchanged their position within the number.

Step II- All the numbers obtained in step I are arranged in descending order from the left end.

Step III- Sum of the digits within the number and make a single-digit number.

step IV- All the numbers obtained in step III are arranged in ascending order from the left end.

Input: 36 74 41 80 59 52 17 91

Step I: 63 47 14 8 95 25 71 19 

Step II: 95 71 63 47 25 19 14 8  

Step III:  5 8 9 2 7 1 5 8  

Step IV: 1 2 5 5 7 8 8 9 

Hence, 47 is on 4th position from the left.

The logic behind the output is as follows:

Step I -

The first and last digit of the first number in Input is added and the sum is written first. The second, third, and fourth digits are written as it is after the sum, and the fifth digit is omitted. The same is continued with other numbers.

Step II -

The first and second digits of the first number in Step I are added and the sum is written first then the third and fourth digits are written as it is after the sum, and then the square of the last digit is written. The same is continued with other numbers.

Step III - 

The first two digits of the first number in Step II are arranged in ascending order then the middle digit is kept as it is and then the the last two digits are arranged in descending order. The same is continued with other numbers.

Step IV - 

The difference between the first two digits of the first number in Step III is written first, then the third and fourth digits are written as it is after the difference and then the double of the last digit is written. The same is continued with other numbers.

Step V - 

The first two digits of the first number in Step IV are added and their square is written as a number. Then the product of the last two digits is written as a separate number. The same is continued with other numbers.

Input:   478667  578688  543867  765879  658574  866734

Step I:  11786    13786    12438    16658    10585    12667

Step II: 27836    47836    34364    76564    15825    36649

Step III: 27863   47863    34364    67564    15852    36694

Step IV:  5866     3866     1368      1568      4854       3698

                  /\          /\             /\          /\            /\             /\ 

Step V: 169 36  121 36     16 48    36 48    144 20     81 72

The third smallest number is 36 and the fourth largest number is 81 in Step V.

Difference = 81 - 36 = 45

Hence, the correct answer is 45.

In the given Input-Output question the logic is:

Step I- All the digits of the given numbers are interchanged their position within the number.

Step II- All the numbers obtained in step I are arranged in descending order from the left end.

Step III- Sum of the digits within the number and make a single-digit number.

Step IV- All the numbers obtained in step III are arranged in ascending order from the left end.

Input: 36 74 41 80 59 52 17 91

Step I: 63 47 14 8 95 25 71 19 

Step II: 95 71 63 47 25 19 14 8  

Step III:  5 8 9 2 7 1 5 8  

Step IV: 1 2 5 5 7 8 8 9 

Hence, 95 71 63 47 25 19 14 8 is the right answer.

Logic:

Step I: Multiply the first two digits of 1^st and 2^nd box, then then add the digits.

Step II: Step II: Add the 1^st digits of first two boxes then add the resultant also.

Step III Add the digits, same process will follow like in step II.

Step IV: Square of the digits and add the digits.

So, 

Step I:

First box is 2 and 9, second box is 8 and 5

So, 1^st digits of both the boxes are 2 and 8

So, 2 × 8 = 16 → 1 + 6 = 7

So, 1^st digit of 1^st box of step I is 7.

Similarly, 9 × 5 = 45 → 4 + 5 = 9 → 79

Similarly, 8 & 5 and 4 & 2

→ 8 × 4 = 32 → 3 + 2 = 5

→ 5 × 2 = 10 → 1 + 0 = 1 → 51

Similarly, 4 & 2 and 2 & 1

→ 4 × 2 = 08 → 0 + 8 = 8

→ 2 × 1 = 02 → 0 + 2 = 2 → 82.

Step II:

7 & 9 and 5 & 1

→ 7 + 5 = 12 → 1 + 2 = 3

→ 9 + 1 = 10 → 1 + 0 = 1 → 31

Similarly, 5 & 1 and 8 & 2

→ 5 + 8 = 13 → 1 + 3 = 4

→ 1 + 2 = 3 → 43

Step III:

→ 3 & 1 and 4 & 3

→ 3 + 4 = 7

→ 1 + 3 = 4 → 74

Step IV:

In step III the digits are 7 and 4

So, square of 7 → 7² = 49 and 4² = 16

Now add the digits → 4 + 9 + 1 + 6 = 20

So, the step IV is 20.

So, the final arrangement is:

So, step III is 7 and 4 

→ 7 + 4 = 11

The sum of the digits of step III is 11.

The logic followed here is:

Step 1: There are two operations in Step 1: The numbers are moved one position in clockwise direction. Then digits of each three digit number is arranged in descending order.

Step 2: 

In step 2 each number is replaced by the product of first and last digit of each number is multiplied followed by the middle digit.

542 → 5 × 2 = 10; middle digit → 4 : The number = 104

981 →9 × 1 = 9; middle digit → 8 : The number = 98

752 →7 × 2 = 14; middle digit → 5: The number = 145

954 →9 × 4 = 36; middle digit → 5: The number = 365

763 →7 × 3 = 21; middle digit → 6: The number = 216

941 →9 × 1 = 9; middle digit → 4: The number = 94

754 →7 × 4 = 28; middle digit → 5: The number = 285

983 →9 × 3 = 27; middle digit → 8: The number = 278

Step 3: 

In step 3 the digits of each number are added and then written in reverse order

104 → 1 + 0 + 4 = 05 → 50

278 → 2 + 7 + 8 = 17 → 71

285 → 2 + 8 + 5 = 15 → 51

94 → 9 + 4 = 13 → 31

216 → 2 + 1 + 6 = 09 → 90

365 → 3 + 6 + 5 = 14 → 41

145 → 1 + 4 + 5 = 10 → 01

98 → 9 + 8 = 17 → 71

The final output will be as follows:

The sum of column A in Step III will be 50 + 71 + 01 = 122.

Hence, 122 is the correct answer.

In the given arrangement the machine arranges the numbers in each step.

In step one, for odd numbers, interchange its first digit with the second digit, third with the fourth digit, and fifth with the sixth digit within the number; and even numbers are arranged by reversing their digits within the number.

In step two, the numbers are arranged in descending order.

In step three, all the digits within the numbers are arranged in descending order.

In step four, multiply the first digit with the last digit, similarly the second digit with the second last digit and the third digit with the fourth digit within the number.

In step five, add all the digits within the number.

Input: 764585 582496 243518 624573 764321 543782

Step I: 675458 694285 815342 265437 673412 287345

Step II: 815342 694285 675458 673412 287345 265437

Step III: 854321 986542 876554 764321 875432 765432

Step IV: 81012 183230 323530 71212 162120 141820

Step V: 12 17 16 13  12 16

The highest number and the lowest number in step V are 17 and 12 respectively an their sum is 17 + 12 = 29. Hence, the correct answer is 29.