Number Relationships Quiz

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, 84, 29) (27, 122, 34)

• (17, 45, 13)

• (25, 90, 20)

Answer explanation

In the set (13, 84, 29), the relationships are: 13 + 71 = 84 and 84 - 55 = 29. In (25, 90, 20), we have 25 + 65 = 90 and 90 - 70 = 20, maintaining the same pattern of operations. Thus, (25, 90, 20) is correct.

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 an then performing mathematical operations on 1 an 3 is not allowed) (4, 11, 31) (3, 9, 25)

• (7, 11, 35)

• (5, 13, 29)

• (2, 8, 19)

• (6, 15, 43)

Answer explanation

In the set (4, 11, 31), each number can be expressed as 3n + 1, where n is the index (0, 1, 2). The set (6, 15, 43) follows the same pattern: 3n + 6. Thus, (6, 15, 43) is the correct choice.

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 8: 127::5:49:: 1:?

• (6, 15, 43)

• (10, 56, 23)

Answer explanation

The pattern shows that the second number is derived from the first by cubing it and adding one (8^3 + 1 = 127). Similarly, for 5, we have 5^2 = 25, and 25 - 6 = 19. Following this, 1^2 = 1, and 1 + 5 = 6. Thus, the answer is 6.

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) (10, 150, 3) (8, 80, 2)

• (18, 270, 3)

• (11, 188, 6)

• (12, 197, 4)

• (10, 401,9)

Answer explanation

In the first set (10, 150, 3), 10 multiplied by 15 equals 150, and 3 is a factor. In the correct choice (10, 401, 9), 10 multiplied by 40.1 equals 401, and 9 is a factor, maintaining the same relationship.

Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.

• 22

• 21

• 20

• 23

Answer explanation

The relationship between the terms shows a pattern of subtracting 2. The first term minus 2 gives the second term, and similarly, the fifth term minus 2 gives the sixth term. Thus, 22 - 2 = 20 is the correct answer.

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)

• 272

• 240

• 212

• 256

Answer explanation

In the set (13, 16, 21), the differences between consecutive numbers are 3 and 5. In (28, 34, 45), the differences are 6 and 11. The set (240) has differences of 8 and 12, maintaining a similar pattern, making it the correct choice.

Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. 16 =15⇒? = 16 × 15 = 240

Answer explanation

The relationship is multiplication of the two numbers. Since 16 = 15 corresponds to 16 × 15 = 240, we need a pair where the second number is 16. Thus, 15 = 16 corresponds to 15 × 16 = 240.

Select the number from among the options given that is related to the third number in the same way as the second number is related to the first number. 3: 28::9:?

• 81

• 80

• 729

• 730

Answer explanation

The relationship is that the second number is the first number squared plus one: 3^2 + 1 = 9 + 1 = 10. Applying the same to 9: 9^2 + 1 = 81 + 1 = 82. However, the correct answer is 730, which is 27^2 + 1, indicating a different pattern.

Select the option that is related to the third number in the same way as the second number is related to the first number : 343: 1331: 729:?

• 2187

• 2197

• 2211

• 2184

Answer explanation

The relationship is based on cubes of numbers: 343 is 7^3, 1331 is 11^3. The third number, 729, is 9^3. Following the pattern, the next number should be 13^3, which is 2197.

Select the option that is related to the third number in the same way as the second number is related to the first number. 9:729 = 11: ?

• 1024

• 112

• 1331

• 991

Answer explanation

The relationship is that the second number is the cube of the first number: 9^3 = 729. Therefore, for 11, we find 11^3 = 1331. Thus, 11 is related to 1331 in the same way.