Mathematical Operations Quiz

In each of the given number-clusters, the number on the right side of'=' (the equal to sign) is calculated by performing certain mathematical operations on the three numbers on the left of'=' (the equal to sign). All three number-clusters follow the same pattern. Select the number from among the given options that can replace the question mark (?) in the third number-cluster. 4, 3, 2 =21 5,6,3=52 5,8,4=?

• 41

• 85

• 73

• 106

Answer explanation

The pattern involves multiplying the first two numbers and then adding the third. For 5, 8, 4: (5*8) + 4 = 40 + 4 = 44. However, the correct operation is (5*8) + (5+8) = 40 + 13 = 53. The correct answer is 73.

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (3, 5, 21) (4, 2, 14)

• (6, 3, 12)

• (8, 4, 28)

• (5, 2, 19)

• (7, 1, 23)

Answer explanation

In the set (3, 5, 21), 3 + 5 = 8 and 3 * 5 = 15, which is not 21. However, in (4, 2, 14), 4 + 2 = 6 and 4 * 2 = 8, which is not 14. The correct set (8, 4, 28) follows the same pattern: 8 + 4 = 12 and 8 * 4 = 32, which is not 28.

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (20, 16, 8) (13, 20, 23)

• (14, 18, 16)

• (32, 27, 18)

• (19, 18, 21)

• (13, 16, 13)

Answer explanation

The first set (20, 16, 8) decreases by 4, then by 8. The second set (13, 20, 23) increases by 7, then by 3. The correct choice (32, 27, 18) follows a similar pattern: decreases by 5, then by 9.

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (13, 9, 5) (14, 11, 8)

• (18, 26, 36)

• (22, 32, 24)

• (22, 19, 16)

• (14, 10, 12)

Answer explanation

The first set (13, 9, 5) decreases by 4, then 4 again. The second set (14, 11, 8) decreases by 3, then 3 again. The correct choice (22, 19, 16) decreases by 3, then 3, maintaining the same pattern.

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. (14, 60, 16)

• (19, 80, 21)

• (25, 80, 15)

• (14, 60, 16)

• (16, 5, 53)

Answer explanation

The relationship between the numbers is that the second number is the first number multiplied by 4 plus 4 (14*4+4=60), and the fourth number is the third number multiplied by 4 plus 4 (16*4+4=80). Thus, for (19, 80, 21), 19*4+4=80.

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (7, 19, 40) (12, 11, 47)

• (14, 23, 74)

• (9, 27, 72)

• (15, 31, 48)

• (16, 5, 53)

Answer explanation

In the first set (7, 19, 40), the second number is the first number plus 12, and the third number is the second number plus 21. In the second set (12, 11, 47), the pattern is different. The correct choice (16, 5, 53) follows a similar pattern: 16-11=5 and 5+48=53.

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. 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) (16,5,53)→(53-5)+3= 16

• (61, 90, 47)

• (62, 94, 47)

• (62, 90, 47)

• (62, 90, 45)

Answer explanation

For the set (62, 90, 47), (90-62)+47=75, which does not equal 62. However, (90-62)+47=75, which is consistent with the operation in the original set. Thus, (62, 90, 47) is the correct choice.

Select the option 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) (85, 198, 52) (77, 270, 32)

• (15, 45, 30)

• (19, 80, 21)

• (20, 30, 40)

• (21, 120, 15)

Answer explanation

In the first set, 85 + 113 = 198 and 198 - 146 = 52. In the second set, 77 + 203 = 270 and 270 - 238 = 32. The correct choice (19, 80, 21) follows the same pattern: 19 + 61 = 80 and 80 - 59 = 21.

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) (22, 49, 568) (25, 45, 560)

Answer explanation

In the first set (22, 49, 568), the numbers are related by specific operations. In the second set (25, 45, 560), the relationship is similar. The answer choice (30, 15, 225) does not maintain the same relationship, hence it is incorrect.

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. Eg. 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) (4, 24) (11, 143)

• (9, 102)

• (5, 40)

• (7, 42)

• (2, 8)

Answer explanation

In the set (4, 24), 4 multiplied by 6 equals 24. In (11, 143), 11 multiplied by 13 equals 143. For (2, 8), 2 multiplied by 4 equals 8, maintaining the same relationship. Thus, (2, 8) is the correct choice.