Number Based MCQ Quiz - Objective Question with Answer for Number Based - Download Free PDF

The logic behind the output is as follows:

Step I -

In each number, the digits which are odd positions are multiplied, the product is written first and then the digits at the even places are written as it is.

Step II -

In the first number, the first digit from last is multiplied by 2 and the product is written first and then the rest of the digits are written as it is. In the second number, the second digit from the last is multiplied by 2; in the third number, the third digit from the last is multiplied by 2, and so on. The rest of the digits are written as it is.

Step III - 

The sum of opposite letters in the alphabetical series is always 27 (26+1, 25+2, 24+3...........16+11, 15+12, 14+13). So, in each number, subtract the first digit from 27 and then write the rest of the digits in the reversed order.

Step IV - 

In each number, first, add all the digits which are repeated and write their sum. Then add all the remaining digits and write their sum next to it.

Step V - 

In each number, the addition of all digits is written first and then all the digits are written as it is.

Now,

Input:    857964     654798     486496     237589    742698    385497

Step I:   336594     216578     216846     112359    126468    135847

Step II:  833659    1421658   1621646    411359    416468    235847

Step III: 1995633  26856124 26646126 2395311 2386461  2574853

Step IV:    2412        1624           285         816         1218        1024

Step V:    92412     131624      15285     15816     121218      71024

The largest number and the second smallest number in Step III are 26856124 and 2386461 respectively and there are two numbers between them.

Hence, the correct answer is Two.

The logic behind the output is as follows:

Step I -

In each number, the digits which are odd positions are multiplied, the product is written first and then the digits at the even places are written as it is.

Step II -

In the first number, the first digit from last is multiplied by 2 and the product is written first and then the rest of the digits are written as it is. In the second number, the second digit from the last is multiplied by 2; in the third number, the third digit from the last is multiplied by 2, and so on. The rest of the digits are written as it is.

Step III - 

The sum of opposite letters in the alphabetical series is always 27 (26+1, 25+2, 24+3...........16+11, 15+12, 14+13). So, in each number, subtract the first digit from 27 and then write the rest of the digits in the reversed order.

Step IV - 

In each number, first, add all the digits which are repeated and write their sum. Then add all the remaining digits and write their sum next to it.

Step V - 

In each number, the addition of all digits is written first and then all the digits are written as it is.

Now,

Input:    857964     654798     486496     237589    742698    385497

Step I:   336594     216578     216846     112359    126468    135847

Step II:  833659    1421658   1621646    411359    416468    235847

Step III: 1995633  26856124 26646126 2395311 2386461  2574853

Step IV:    2412        1624           285         816         1218        1024

Step V:    92412     131624      15285     15816     121218      71024

If all the numbers are arranged in descending order in Step I, then

Step I:   336594   216846   216578   135847   126468   112359

Only one number will remain in the same place.

Hence, the correct answer is Two.

The logic behind the output is as follows:

Step I -

In each number, the digits which are odd positions are multiplied, the product is written first and then the digits at the even places are written as it is.

Step II -

In the first number, the first digit from last is multiplied by 2 and the product is written first and then the rest of the digits are written as it is. In the second number, the second digit from the last is multiplied by 2; in the third number, the third digit from the last is multiplied by 2, and so on. The rest of the digits are written as it is.

Step III - 

The sum of opposite letters in the alphabetical series is always 27 (26+1, 25+2, 24+3...........16+11, 15+12, 14+13). So, in each number, subtract the first digit from 27 and then write the rest of the digits in the reversed order.

Step IV - 

In each number, first, add all the digits which are repeated and write their sum. Then add all the remaining digits and write their sum next to it.

Step V - 

In each number, the addition of all digits is written first and then all the digits are written as it is.

Now,

Input:    857964     654798     486496     237589    742698    385497

Step I:   336594     216578     216846     112359    126468    135847

Step II:  833659    1421658   1621646    411359    416468    235847

Step III: 1995633  26856124 26646126 2395311 2386461  2574853

Step IV:    2412        1624           285         816         1218        1024

Step V:    92412     131624      15285     15816     121218      71024

The average of all digits in the number which is third from the right in Step IV = (8+1+6)/3 = 15/3 = 5

Hence, the correct answer is 5.

The logic behind the output is as follows:

Step I -

In each number, the digits which are odd positions are multiplied, the product is written first and then the digits at the even places are written as it is.

Step II -

In the first number, the first digit from last is multiplied by 2 and the product is written first and then the rest of the digits are written as it is. In the second number, the second digit from the last is multiplied by 2; in the third number, the third digit from the last is multiplied by 2, and so on. The rest of the digits are written as it is.

Step III - 

The sum of opposite letters in the alphabetical series is always 27 (26+1, 25+2, 24+3...........16+11, 15+12, 14+13). So, in each number, subtract the first digit from 27 and then write the rest of the digits in the reversed order.

Step IV - 

In each number, first, add all the digits which are repeated and write their sum. Then add all the remaining digits and write their sum next to it.

Step V - 

In each number, the addition of all digits is written first and then all the digits are written as it is.

Now,

Input:    857964     654798     486496     237589    742698    385497

Step I:   336594     216578     216846     112359    126468    135847

Step II:  833659    1421658   1621646    411359    416468    235847

Step III: 1995633  26856124 26646126 2395311 2386461  2574853

Step IV:    2412        1624           285         816         1218        1024

Step V:    92412     131624      15285     15816     121218      71024

The second largest number and the smallest number obtained in step V are 12128 and 15285 respectively.

The largest digit of 12128 is 8 and the smallest digit of 15285 is 1.

Difference = 8 - 1 = 7.

Hence, the correct answer is 7.

The logic behind the output is as follows:

Step I -

In each number, the digits which are odd positions are multiplied, the product is written first and then the digits at the even places are written as it is.

Step II -

In the first number, the first digit from last is multiplied by 2 and the product is written first and then the rest of the digits are written as it is. In the second number, the second digit from the last is multiplied by 2; in the third number, the third digit from the last is multiplied by 2, and so on. The rest of the digits are written as it is.

Step III - 

The sum of opposite letters in the alphabetical series is always 27 (26+1, 25+2, 24+3...........16+11, 15+12, 14+13). So, in each number, subtract the first digit from 27 and then write the rest of the digits in the reversed order.

Step IV - 

In each number, first, add all the digits which are repeated and write their sum. Then add all the remaining digits and write their sum next to it.

Step V - 

In each number, the addition of all digits is written first and then all the digits are written as it is.

Now,

Input:    857964     654798     486496     237589    742698    385497

Step I:   336594     216578     216846     112359    126468    135847

Step II:  833659    1421658   1621646    411359    416468    235847

Step III: 1995633  26856124 26646126 2395311 2386461  2574853

Step IV:    2412        1624           285         816         1218        1024

Step V:    92412     131624      15285     15816     121218      71024

The sum of the digits in the number which is third from the end in step III is = 2 + 3 + 9 + 5 + 3 + 1 + 1 = 24

Hence, the correct answer is 24.

The logic is as follows:

Step I: The first two smallest numbers are arranged in ascending order.

Step II: The next two smallest numbers are arranged in ascending order shifting the previously arranged one inward.

Step III: The digits of all the numbers are interchanged

Step IV: Taking a pair of numbers from the left-most side, the first two digits of the number pair are taken to form a number. Similarly, the second two digits of a number pair are taken to form the next number.

Input: 12  46  32  11  19  36  89  41  56  53  75  81

Step I: 11  12 46  32  19  36  89  41  56  53  75  81  

Step II: 19  32  11  12  46  36  89  41  56  53  75  81

Step III: 91  23  11  21  64  63  98  14  65  35  57  18

Step IV: 92  13  12  11  66  43  91  84  63  55  51  78

Thus, Step IV is the last step.

Hence, 19  32  11  12  46  36  89  41  56  53  75  81 is the Step II of the given input.

In step 1, the odd numbers of the given input are multiplying by 3 and the even numbers are multiplying by 2.

In step 2, first number of step 1 and second number of step 1 are subtract and thus found the first number of step 2. Again, the second number of step 1 and third number of step 1 are added and thus found the second number of step 2 and so on.

In step 3, the digits of the first number are multiplying to get the first number of step 3. Similarly, the second number is calculated.

In step 4, half of the number of step 3.

Thus, we get the final output.

Applying the same method in the given input, we get:

Whenever we multiply a three digit number, let us say xyz, to 1001 then we get xyzxyz as a result.
Implies, DEED represents 1001.

Hence, the values of D and E are 1 and 0 respectively.

The logic is as follows:

Step I: The first two smallest numbers are arranged in ascending order.

Step II: The next two smallest numbers are arranged in ascending order shifting the previously arranged one inward.

Step III: The digits of all the numbers are interchanged

Step IV: Taking a pair of numbers from the left-most side, the first two digits of the number pair are taken to form a number. Similarly, the second two digits of a number pair are taken to form the next number.

Input: 12  46  32  11  19  36  89  41  56  53  75  81

Step I: 11  12 46  32  19  36  89  41  56  53  75  81  

Step II: 19  32  11  12  46  36  89  41  56  53  75  81

Step III: 91  23  11  21  64  63  98  14  65  35  57  18

Step IV: 92  13  12  11  66  43  91  84  63  55  51  78

Thus, Step IV is the last step.

There are two numbers between 91 and 21 in Step III, two numbers between 11 and 32 in Sep I, thus in Step four there are two numbers between 92 and 11 in step IV.

Hence, 11 is the correct answer.

In step 1, the odd numbers of the given input are multiplying by 3 and the even numbers are multiplying by 2.

In step 2, first number of step 1 and second number of step 1 are subtract and thus found the first number of step 2. Again, the second number of step 1 and third number of step 1 are added and thus found the second number of step 2 and so on.

In step 3, the digits of the first number are multiplying to get the first number of step 3. Similarly, the second number is calculated.

In step 4, half of the number of step 3.

Thus, we get the final output.

Applying the same method in the given input, we get:

The difference between the element which is sixth from the left in step 4 and first from the right in step 2 is 235.

In step 1, the odd numbers of the given input are multiplying by 3 and the even numbers are multiplying by 2.

In step 2, first number of step 1 and second number of step 1 are subtract and thus found the first number of step 2. Again, the second number of step 1 and third number of step 1 are added and thus found the second number of step 2 and so on.

In step 3, the digits of the first number are multiplying to get the first number of step 3. Similarly, the second number is calculated.

In step 4, half of the number of step 3.

Thus, we get the final output.

Applying the same method in the given input, we get:

Thus, the products of the numbers which is 3^rd from the right end and 3^rd from the left end in final step is 189.

The logic is as follows:

Step I: The first two smallest numbers are arranged in ascending order.

Step II: The next two smallest numbers are arranged in ascending order shifting the previously arranged one inward.

Step III: The digits of all the numbers are interchanged

Step IV: Taking a pair of numbers from the left-most side, the first two digits of the number pair are taken to form a number. Similarly, the second two digits of a number pair are taken to form the next number.

Input: 12  46  32  11  19  36  89  41  56  53  75  81

Step I: 11  12 46  32  19  36  89  41  56  53  75  81  

Step II: 19  32  11  12  46  36  89  41  56  53  75  81

Step III: 91  23  11  21  64  63  98  14  65  35  57  18

Step IV: 92  13  12  11  66  43  91  84  63  55  51  78

Thus, Step IV is the last step.

Hence, 14 is third to the right of the fifth term from the left in Step III.

The logic is as follows:

Step I: The first two smallest numbers are arranged in ascending order.

Step II: The next two smallest numbers are arranged in ascending order shifting the previously arranged one inward.

Step III: The digits of all the numbers are interchanged

Step IV: Taking a pair of numbers from the left-most side, the first two digits of the number pair are taken to form a number. Similarly, the second two digits of a number pair are taken to form the next number.

Input: 12  46  32  11  19  36  89  41  56  53  75  81

Step I: 11  12 46  32  19  36  89  41  56  53  75  81  

Step II: 19  32  11  12  46  36  89  41  56  53  75  81

Step III: 91  23  11  21  64  63  98  14  65  35  57  18

Step IV: 92  13  12  11  66  43  91  84  63  55  51  78

Thus, Step IV is the last step.

The number which is fourth from the left end in step II = 12

The number which is fourth from the right end in step IV = 65

Sum = 12 + 63 = 75

Hence, 75 is the correct answer.

In step 1, the odd numbers of the given input are multiplying by 3 and the even numbers are multiplying by 2.

In step 2, first number of step 1 and second number of step 1 are subtract and thus found the first number of step 2. Again, the second number of step 1 and third number of step 1 are added and thus found the second number of step 2 and so on.

In step 3, the digits of the first number are multiplying to get the first number of step 3. Similarly, the second number is calculated.

In step 4, half of the number of step 3.

Thus, we get the final output.

Applying the same method in the given input, we get:

Thus, 148 is 2^nd to the right of the one which is 4^th to the left element in step 1.

The rearrangement takes place in the following ways:

Step I: For even numbers, a pair of two digits are interchanged starting from the left. And for odd numbers, the first three digits are replaced by the last three digits (in the same order).

Step II: All the numbers are written in decreasing order.

Step III: For all the numbers, even digits are written first in decreasing order followed by the odd digits in increasing order.

Step IV: The product of pair of digits from the left end within the number is written.

Step V: The sum of all the digits within the number is written.

Input: 426351 124567 854621 254364 987456 326413

Step I: 351426 567124 621854 523446 894765 413326

Step II: 894765 621854 567124 523446 413326 351426

Step III: 864579 864215 642157 644235 642133 642135

Step IV: 482063 480805 240235 240815 240209 240215

Step V: 23 25 16 20 17 14

Step V is the final arrangement.

Step I: 351426 567124 621854 523446 894765 413326

The extreme left number in Step I = 351426

Sum of digits = 3 + 5 + 1 + 4 + 2 + 6 = 21

Hence, the required number is 21.