Study the given pattern carefully and select the number from among the given option that can replace the question mark (?).
To solve the problem, we need to identify the pattern used in the given sequences.
Let's analyze each step:
Pattern I:
The expression used is \(4[(3 + p) + (4 + q) + (4 + r)]\).
This simplifies to \(4[(3 + 4 + 4) + (p + q + r)]\).
Pattern II:
The expression used is \(5[(4 + 3) + (3 + 2) + (5 + 5)] = 110\).
This expands to \(5[(7) + (5) + (10)] = 5 \times 22 = 110\).
Pattern III:
The sequence provided is 4, 2, and 3.
Following the discovered pattern, let's calculate:
Finding the missing number:
Using the formula \(5[(4 + 2) + (2 + 3) + (3 + 4)]\), we have:
- \((4 + 2) = 6\)
- \((2 + 3) = 5\)
- \((3 + 4) = 7\)
- Total: \(6 + 5 + 7 = 18\)
- Thus, the calculation is \(5 \times 18 = 90\).
Thus, the number that can replace the question mark is 144.
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 '+' means '$\div$', '$-$' means '$\times$', '$\div$' means '+' and '$\times$' means '$-$', then find the value of $2 - 1 \times 4 \div 4 + 2$?
Study the given pattern carefully and select the numbers from among the options that can replace the question marks (?).
- If $\nabla$ stands for operation "adding the first number to thrice the second number", then the value of $(4 \nabla 5) \nabla 6$ will be:
- If '+' means 'division', '-' means 'addition', '$\times$' means 'subtraction' and '$\div$' means 'multiplication', then what will be the value of the following expression?
$\frac{[ \{ (20 \times 18) - (9 \div 3) \} + (5 - 2) ]}{1}$ - 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 = ? - If '+' means 'subtraction', '$\div$' means 'addition', '$-$' means 'multiplication' and '$\times$' means 'division', then what is the value of $15 \div (5 + 8)$?
If '$+$' means 'subtraction', '$\div$' means 'addition', '$-$' means 'multiplication' and '$\times$' means 'division', then what is the value of $(8 + 2 - 19) - (4 + 27 \times 3)$?
Important Questions from Mathematical Operations
Which two numbers (not digits) should be interchanged to make the given equation correct?
21 × 8 – 18 + (64 ÷ 2) + 32 = 64
The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged. What are those two numbers (not digits) and the two signs?
9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13
Select the set, from the given options, 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.)
(6, 13, 78)
(5, 22, 110)
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(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.)
X : 649 :: 956 : Y
