Study the given pattern carefully and select the numbers from among the options that can replace the question marks (?).
To solve this problem, we need to identify the pattern or rule applied to the given shapes and their corresponding numbers.
Let's analyze the examples provided:
- For the hexagon (6 sides) and triangle (3 sides), the numbers are 24 and 15. This suggests the sum of the sides of both shapes is related to the numbers provided.
- For the pentagon (5 sides) and diamond (a type of quadrilateral with equal sides, 4 sides), the numbers are 20 and 20.
Now let's find the rule:
- In the first case, the sum of sides of hexagon and triangle is \(6 + 3 = 9\). Multiply by 4, we get \(9 \times 4 = 36\). The two numbers 24 and 15 sum to 39; subtracting 3 might denote the visual count of sides or an increment step.
- In the second case, the sum of sides of pentagon and diamond is \(5 + 4 = 9\). Similarly applying the same: \(9 \times 4 = 36\). The numbers 20 and 20 sum to 40, a similar adjustment.
Now, let's apply this to the given question with a rectangle (4 sides) and a right-angled triangle (3 sides):
- The sum of sides is \(4 + 3 = 7\).
- Using the same multiplication by 4, we have \(7 \times 4 = 28\).
- We look for numbers that fit our adjustment. \(16 + 15 = 31\), reasonably within the operations.
Thus, the numbers that replace the question marks are 16, 15.
Similar Questions
- What will come in the place of the question mark (?) in the following equation, if '+' and '−' are interchanged and '×' and '÷' are interchanged?
65 × 5 − 19 ÷ 3 + 25 = ? - What will come in place of the question mark (?) in the following equation if '×' and '+' are interchanged and '−' and '÷' are interchanged?
32 ÷ 2 × 72 − 9 + 5 = ? - 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?
7 B 5 D 48 A 4 C 13 = ? - What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘÷’ are interchanged, and ‘−’ and ‘×’ are interchanged?
6 + 3 ÷ 48 − 4 × 25 = ? - While solving a mathematical problem, Atul squared the initial number and then subtracted $15$ from it. Pratul first subtracted $15$ from the initial number and then squared the difference. If both obtained the same answer, what was the initial number?
- Which two signs are to be interchanged to make the given equation correct?
$15 - 3 \div 40 + 5 \times 30 = 23$ - What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
25 − 9 × 3 + 4 ÷ 2 = ? - What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
12 ÷ 6 + 28 × 4 − 11 = ? - What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘×’ are interchanged and ‘−’ and ‘÷’ are interchanged?
$8 + 5 \div 40 - 4 \times 17 = ?$ - What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘×’ are interchanged, and ‘−’ and ‘÷’ are interchanged?
2 + 8 ÷ 84 − 7 × 27 = ?
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.)
