Qunatitative reasoning || Logical reasoning || CAT 2021 || 07 June (App update required to attempt this test)
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Question 1
Direction:
First 18 natural numbers are to be divided into two Sets, named Set-A and Set-B, having 9 numbers each such that the sum of the numbers in Set-A is less than the sum of the numbers in Set-B by 9. The number of odd numbers in Set-A is more than that in Set-B by one.
The numbers in Set-A are placed in a 3 × 3 grid as shown below. The smallest and the largest numbers in Set-A are 1 and 17 respectively.
It is known that the three numbers in the first row form an Arithmetic Progression.
Similarly the three numbers in the third row (from left to right), the three numbers in the first column (from top to bottom) and the three numbers in the third column (from top to bottom) form separate Arithmetic Progressions. Also these three Arithmetic progressions have different positive common differences.
Question 2
Direction:
First 18 natural numbers are to be divided into two Sets, named Set-A and Set-B, having 9 numbers each such that the sum of the numbers in Set-A is less than the sum of the numbers in Set-B by 9. The number of odd numbers in Set-A is more than that in Set-B by one.
The numbers in Set-A are placed in a 3 × 3 grid as shown below. The smallest and the largest numbers in Set-A are 1 and 17 respectively.
It is known that the three numbers in the first row form an Arithmetic Progression.
Similarly the three numbers in the third row (from left to right), the three numbers in the first column (from top to bottom) and the three numbers in the third column (from top to bottom) form separate Arithmetic Progressions. Also these three Arithmetic progressions have different positive common differences.
Question 3
Direction:
First 18 natural numbers are to be divided into two Sets, named Set-A and Set-B, having 9 numbers each such that the sum of the numbers in Set-A is less than the sum of the numbers in Set-B by 9. The number of odd numbers in Set-A is more than that in Set-B by one.
The numbers in Set-A are placed in a 3 × 3 grid as shown below. The smallest and the largest numbers in Set-A are 1 and 17 respectively.
It is known that the three numbers in the first row form an Arithmetic Progression.
Similarly the three numbers in the third row (from left to right), the three numbers in the first column (from top to bottom) and the three numbers in the third column (from top to bottom) form separate Arithmetic Progressions. Also these three Arithmetic progressions have different positive common differences.
Question 4
Direction:
First 18 natural numbers are to be divided into two Sets, named Set-A and Set-B, having 9 numbers each such that the sum of the numbers in Set-A is less than the sum of the numbers in Set-B by 9. The number of odd numbers in Set-A is more than that in Set-B by one.
The numbers in Set-A are placed in a 3 × 3 grid as shown below. The smallest and the largest numbers in Set-A are 1 and 17 respectively.
It is known that the three numbers in the first row form an Arithmetic Progression.
Similarly the three numbers in the third row (from left to right), the three numbers in the first column (from top to bottom) and the three numbers in the third column (from top to bottom) form separate Arithmetic Progressions. Also these three Arithmetic progressions have different positive common differences.
Question 5
Question 6
In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered the operations of numbers progress from left to right.
1) If a two-digit even number is preceded by an odd number, then they are to be added.
2) If a two-digit odd number is preceded by an odd number, then the smaller number is to be subtracted from the larger number.
3) If a perfect square of a number is preceded by an even number, then the larger number is to be divided by the smaller number (approximate value).
4) If a two digit even number is preceded by an even number, then they are to be multiplied.
If the resultant of the second set of numbers is divided by the resultant of the first set of numbers, what will be the outcome?
Question 7
In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered the operations of numbers progress from left to right.
1) If a two-digit even number is preceded by an odd number, then they are to be added.
2) If a two-digit odd number is preceded by an odd number, then the smaller number is to be subtracted from the larger number.
3) If a perfect square of a number is preceded by an even number, then the larger number is to be divided by the smaller number (approximate value).
4) If a two digit even number is preceded by an even number, then they are to be multiplied.
What will be the sum of the two resultant numbers of the sets of numbers given above?
Question 8
In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered the operations of numbers progress from left to right.
1) If a two-digit even number is preceded by an odd number, then they are to be added.
2) If a two-digit odd number is preceded by an odd number, then the smaller number is to be subtracted from the larger number.
3) If a perfect square of a number is preceded by an even number, then the larger number is to be divided by the smaller number (approximate value).
4) If a two digit even number is preceded by an even number, then they are to be multiplied.
If the resultant of the second set of numbers is divided by the resultant of the first set of numbers, what will be the approximate outcome?
Question 9
In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered the operations of numbers progress from left to right.
1) If a two-digit even number is preceded by an odd number, then they are to be added.
2) If a two-digit odd number is preceded by an odd number, then the smaller number is to be subtracted from the larger number.
3) If a perfect square of a number is preceded by an even number, then the larger number is to be divided by the smaller number (approximate value).
4) If a two digit even number is preceded by an even number, then they are to be multiplied.
If the resultant of the first set of numbers is divided by the resultant of the second set of numbers, what will be the outcome?
Question 10
In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered the operations of numbers progress from left to right.
1) If a two-digit even number is preceded by an odd number, then they are to be added.
2) If a two-digit odd number is preceded by an odd number, then the smaller number is to be subtracted from the larger number.
3) If a perfect square of a number is preceded by an even number, then the larger number is to be divided by the smaller number (approximate value).
4) If a two digit even number is preceded by an even number, then they are to be multiplied.
If the resultant of the second set of numbers is subtracted from the resultant of the first set of numbers, what will be the outcome?
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