Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. (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/deleting/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.)
(7, 333)
(5, 115)
(4, 54)
To solve the problem of identifying the correct relationship between number pairs similar to (7, 333), we need to first understand the operation that converts the first number in the pair into the second number.
Let's analyze the pair (7, 333):
- Multiply 7 by 7: \(7 \times 7 = 49\).
- Multiply the result by another 7: \(49 \times 7 = 343\).
- Subtract 10 from 343 to get 333: \(343 - 10 = 333\).
Thus, the operation used here is Multiply by itself twice and subtract 10.
We need to find which of the given options follows the same relationship:
- For option (3, 24):
- \(3 \times 3 = 9\)
- \(9 \times 3 = 27\)
- Subtract 10: \(27 - 10 = 17\) (Not 24)
- For option (6, 226):
- \(6 \times 6 = 36\)
- \(36 \times 6 = 216\)
- Subtract 10: \(216 - 10 = 206\) (Not 226)
- For option (8, 492):
- \(8 \times 8 = 64\)
- \(64 \times 8 = 512\)
- Subtract 10: \(512 - 10 = 502\) (Not 492)
- For option (4, 54):
- \(4 \times 4 = 16\)
- \(16 \times 4 = 64\)
- Subtract 10: \(64 - 10 = 54\) (Matches 54)
The operation for the pair (4, 54) matches the same pattern used in the pair (7, 333). Therefore, the correct option is (4, 54).
Important Questions from Mathematical Operations
What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
18 ÷ 9 + 24 × 3 − 16 = ?If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
88 B 3 D 12 A 4 C 6 = ?Select the set in which the numbers are related in the same way as are the numbers of the given sets.
(NOTE: Operations should be performed on whole numbers without breaking down the numbers into their 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.)
Given sets:
(9, 21, 193)
(12, 15, 184)What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
44 ÷ 78 + 6 − 3 × 19 = ?Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
