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

Last updated on May 26, 2025

The group-based, Number Arrangement is a part of Logical Reasoning. Under this type of question, a group of four or five is given, which is based on the number place or number digit, which is changed in the place order of any number, the question is formed by changing the number digit. Before solving this type of question, we look at the given number series and then analyze the given statement according to that question carefully. Then solve it according to the number place or unit digit as given in the question.

Latest Group Based MCQ Objective Questions

Group Based Question 1:

 If 2 is subtracted from the middle digit of each of the following numbers and then the position of the digits are reversed, which of the following will be the last digit of the middle number?
687 465 774 381 452

  1. 7
  2. 3
  3. 5
  4. 4

Answer (Detailed Solution Below)

Option 1 : 7

Group Based Question 1 Detailed Solution

Given: 687 465 774 381 452

According to the question:

Given numbers 687 465 774 381 452
2 is added to the middle digit of each number +2 +2 +2 +2 +2
Resultant numbers 707 485 794 401 472
The position of the digits are reversed 707 584 497 104 274
Number arranged in ascending order 104 274 497 584 707

Thus, the last digit of the middle number is → 497  7

Hence, "Option 1" is the correct answer.

Group Based Question 2:

This question is based on the five, three-digit numbers given below.
(Left) 271 415 612 872 547 (Right)

(Example- 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.)

If all the numbers are arranged in descending order, the position(s) of how many numbers will remain unchanged?

  1. 2
  2. 1
  3. 0
  4. 3

Answer (Detailed Solution Below)

Option 3 : 0

Group Based Question 2 Detailed Solution

Given numbers: '271 415 612 872 547'

After arranging in descending order:

Original Position 1st 2nd 3rd 4th 5th
Original Numbers 271 415 612 872 547
Descending Order 872 612 547 415 271

Now,

There are no numbers that will remain unchanged if all the numbers are arranged in descending order.

Hence, the correct answer is "Option 3".

Group Based Question 3:

This question is based on the 5 three-digit numbers given below.

(Left) 271 145 432 372 457 (Right)

(Example- 697: First digit = 6, second digit = 9 and third digit = 7)

(NOTE: All operations to be done from left to right.)

If all the numbers are arranged in descending order, the position(s) of how many numbers will remain unchanged?

  1. 3
  2. 1
  3. 2
  4. 0

Answer (Detailed Solution Below)

Option 4 : 0

Group Based Question 3 Detailed Solution

Given:

(Left) 271 145 432 372 457 (Right)

All the numbers are arranged in descending order.

(Left) 457 432 372 271 145  (Right)

0 numbers remain in the same position.

Hence, the correct answer is "Option (4)".

Group Based Question 4:

This question is based on the five, three-digit numbers given below.
(Left) 284 452 371 372 763 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
(NOTE: All operations to be done from left to right.)
What will be the resultant if the third digit of the highest number is
added to the second digit of the lowest number?

  1. 11
  2. 12
  3. 10
  4. 13

Answer (Detailed Solution Below)

Option 1 : 11

Group Based Question 4 Detailed Solution

Given: (Left) 284 452 371 372 763 (Right)

The third digit of the highest number is: 3 (763)

And, 

The second digit of the lowest number is : 8 (284)

So, the addition of the third digit of the highest number and the second digit of the lowest number is:

→ 3 + 8 = 11.

The correct answer is "Option 1".

Group Based Question 5:

This question is based on the five, three-digit numbers given below.

(Left) 164 253 927 834 519 (Right)

(Example- 697 - First digit = 6, second digit = 9 and third digit = 7)

NOTE: All operations to be done from left to right.

If 2 is added to second digit of every number, in how many numbers will the second digit be exactly divisible by the first digit?

  1. 2
  2. 0
  3. 3
  4. 1

Answer (Detailed Solution Below)

Option 4 : 1

Group Based Question 5 Detailed Solution

Given: (Left) 164 253 927 834 519 (Right)

According to the question:

Given numbers 164 253 927 834 519
2 is added to the second digit of every number +2 +2 +2 +2 +2
Resultant numbers 184 273 947 854 539
If the second digit be exactly divided by the first digit of that number 8 ÷ 1 7 ÷ 2 4 ÷ 9 5 ÷ 8 3 ÷ 5
Required answer 8 ⇒ Divisible Not divisible Not divisible Not divisible Not divisible

Thus, according to the final arrangement, in only one number will the second digit be exactly divided by the first digit of that number.

Hence, "Option 4" is the correct answer.

Top Group Based MCQ Objective Questions

Comprehension:

Directions: Answer the questions based on the information given below:

378 256 431 875 762

If first and third digits of the given numbers are subtracted then which of the following number will give the second highest resultant?

  1. 875
  2. 378
  3. 762
  4. 431
  5. 256

Answer (Detailed Solution Below)

Option 5 : 256

Group Based Question 6 Detailed Solution

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Given numbers: 378 256 431 875 762

On subtracting first and third digits,

378 = 8 – 3 = 5

256 = 6 – 2 = 4

431 = 4 – 1 = 3

875 = 8 – 5 = 3

762 = 7 – 2 = 5

Hence, 4 is the second highest resultant which is obtained from 256.

Comprehension:

Directions: Answer the questions based on the information given below:

378 256 431 875 762

In each number, 2 is added to the second digit and then the numbers are arranged in descending order. Which number will be the third lowest number after the arrangement?

  1. 431
  2. 762
  3. 378
  4. 875
  5. 256

Answer (Detailed Solution Below)

Option 1 : 431

Group Based Question 7 Detailed Solution

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Given numbers: 378 256 431 875 762

On adding 2 to the second digit: 398 276 451 895 782

On arranging the numbers in descending order: 895 782 451 398 276

451 is the third-lowest number and the corresponding number of that in the actual series is 431

Hence, 451 is the third lowest number which is obtained from 431.

This question is based on the five, three-digit numbers given below.

(left) 434 353 423 224 322 (right)

(Example: 246 - first digit = 2, second digit = 4, third digit = 6)

NOTE - All operations to be done from left to right.

If 4 is added to the second digit of every number, in how many numbers thus formed will the second digit be exactly divisible by the third digit?

  1. Two
  2. Five
  3. One
  4. Three

Answer (Detailed Solution Below)

Option 4 : Three

Group Based Question 8 Detailed Solution

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Given: 

(left) 434 353 423 224 322 (right)

After 4 is added to the second digit of every number we will get,

(left) 474 393 463 264 362 (right)

Let us check whether the second digit is exactly divisible by the third digit of the number thus formed or not:

474 ⇒ 7 ÷ 4 ⇒ (Not divisible).

393 ⇒ 9 ÷ 3 = 3 (Divisilbe).

463 ⇒ 6 ÷ 3 = 2 (Divisible).

264 ⇒ 6 ÷  4 ⇒ (Not divisible).

362 ⇒ 6 ÷ 2 = 3 (Divisible).

Thus, there are only three such numbers whose second digit is exactly divisible by the third digit.

Hence, the correct answer is 'Three'.

This question is based on the five, three-digit numbers given below.

(Left) 567 243 186 689 427 (Right)

(Example- 123 — First digit = 1, second digit = 2 and third digit = 3)

NOTE - All operations to be done from left to right.

What will be the resultant if the first digit of the second greatest number is added to the third digit of the smallest number?

  1. 12
  2. 11
  3. 10
  4. 13

Answer (Detailed Solution Below)

Option 2 : 11

Group Based Question 9 Detailed Solution

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Given: (Left) 567 243 186 689 427 (Right)

According to the given information, we have 

Second greatest number = 567 ⇒ First digit = 5

Smallest number = 186 ⇒ Third digit = 6

Next, adding the first digit and the third digit = 5 + 6 = 11

Thus, the result will be 11.

Hence, the correct answer is 'option 2'.

Comprehension:

Direction: The following questions are based on the five three-digit numbers given below.

483      396      625      834      967

If each number is multiplied by 2, then what is the multiplication of the 1st digit of the lowest and last digit of the largest number?

  1. 24
  2. 30
  3. 36
  4. 28
  5. 20

Answer (Detailed Solution Below)

Option 4 : 28

Group Based Question 10 Detailed Solution

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Given series: 483         396      625      834      967

Series each number is multiplied by 2: 966    792      1250    1668    1934

Lowest number is = 792

And 1st digit of the lowest = 7,

Largest number is = 1934.

Last digit of largest number is = 4

Multiplication = 7 × 4 = 28

Hence, 28 is correct answer.

Comprehension:

Directions: Answer the questions based on the information given below:

654 483 635 928 519

If 2 is subtracted from all the given numbers then how many numbers are there in the new arrangement which are multiples of 3?

  1. Three
  2. None
  3. Two
  4. One
  5. Four

Answer (Detailed Solution Below)

Option 4 : One

Group Based Question 11 Detailed Solution

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Given numbers:

654 483 635 928 519

On subtracting 2 from the given numbers, we get: 652 481 633 926 517

Hence, only one number i.e., 633 is a multiple of 3 which is obtained from 635.

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/ subtracting multiplying etc. to 13 can be performed Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

(13, 16, 21)

(28, 34, 45)

  1. (37, 18, 46)
  2. (72, 45, 27)
  3. (64, 26, 90)
  4. (35, 12, 59)

Answer (Detailed Solution Below)

Option 1 : (37, 18, 46)

Group Based Question 12 Detailed Solution

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The logic follows here as is,

  • Logic: 1st number + (2nd number ÷ 2) = 3rd number.

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apply the logic on options,

Option 1: (37,18, 46)

F1 SSC PriyasSS  23 5 24 D12

Option 2: (72, 45, 27)

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Option 3: (64, 26, 90)

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Option 4: (35, 12, 59)

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here, the logic apply on only option 1.

Hence, 'option 1' is correct.

Answer the question based on the set of numbers given below -

429 738 273 894 156

If the positions of the first two digits in each number are reversed, then the difference between the first digit of the greatest number as well as of the lowest number is equal to -

  1. 5
  2. 6
  3. 4
  4. 7

Answer (Detailed Solution Below)

Option 4 : 7

Group Based Question 13 Detailed Solution

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In the given series:-

429 738 273 894 156

When the first two digits are reversed for every number, the number becomes:-

249 378 723 984 516

The highest and the lowest number of this series are 984 and 249 respectively.

The difference between the first digit of these two numbers is = 9 - 2 = 7.

Hence, "option 4" is the correct answer.

The following question is based on the five three-digit numbers given below:

243      342      573      452      621
If the first and the second digits of each number are interchanged with each other, then what will be the smallest number?

  1. 452
  2. 573
  3. 243
  4. 621

Answer (Detailed Solution Below)

Option 4 : 621

Group Based Question 14 Detailed Solution

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Given numbers:

243      342      573      452      621

On interchanging the first and second digits of the numbers, we get

423      432      753      542      261

Hence, the smallest number is 261, which we get from 621.

Hence, 621 is the correct answer.

Comprehension:

The following questions are based on the three digits numbers given below:

758      839      246      197      564

If one is added to the first digit of all the odd numbers and 2 is added to the first digit of all the even numbers, then in how many numbers digits are repeating more than once?

  1. Two
  2. Three
  3. One
  4. Four
  5. None

Answer (Detailed Solution Below)

Option 1 : Two

Group Based Question 15 Detailed Solution

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Given Series: 758      839      246      197      564

Odd numbers: 839, 197

Even numbers: 758, 246, 564

On adding 1 to the first digit of odd numbers and 2 to the first digits of even numbers: 958      939      446      297      764​

Here, in 939 and 446 the digits are repeating more than once.

Hence, the answer is 'Two'.

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