Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it. 
To solve the given pattern and find the number that replaces the question mark, we need to understand the logic used in the numbers surrounding the central one.
Looking at the pattern in the first diagram:
We have:
- The numbers 6 and 9 on the left and bottom of 117.
- The numbers 7 and 9 on the top and right of 117.
Notice the following:
- If we consider the operation: \(6 \times 9 + 7 \times 9\), it gives: \(6 \times 9 + 7 \times 9 = 54 + 63 = 117\). This matches the middle number.
Now let's apply this pattern to the second set of numbers:
- The numbers are 7 and 7 on the left and right.
- The numbers are 9 and 2 on the top and bottom.
Applying the same logic:
- Calculate: \(7 \times 9 + 7 \times 2\)
- \(7 \times 9 + 7 \times 2 = 63 + 14 = 77\)
Thus, the number that replaces the question mark is 77.
This explains that the correct answer is 77.
Similar Questions
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?).
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- Study the given pattern carefully and select the number from among the given options that can replace the question mark (?).
$2$ $9$ $5$ $3$ $8$ ? $4$ $7$ $6$ $24$ $504$ $30$ Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?).
Study the given pattern carefully and select the number from the given options that can replace the question mark (?).
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?).
Study the given pattern carefully and select the number that can replace the question mark (?) in it
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Important Questions from Missing Number
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.
13 16 52 15 24 90 23 36 ? Select the set in which the numbers are related in the same way as are the numbers of the given set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number 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.)
(25, 150, 3)
(18, 180, 5)
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.
7 ∶ 35 ∶∶ 21 ∶ 399 ∶∶ 4 ∶ ?
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row - 12, 7, 32
Second row - 17, 13, 33
Third row - 14, 8, ?
(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)
Select the number that can replace the question mark (?) in the following pattern.
5
6
7
8
9
115
206
?
502
719
