Question Details

Study the given pattern carefully and select the number from the given options that can replace the question mark (?) in it.
48 63 56
42 18 8 45 15 21 51 ? 8

Options

A

21

B

18

C

19

D

17

Show Answer

Correct Answer :

Option A

21

21

Solution :

To find the number that replaces the question mark (?) in the given pattern, let us arrange the numbers in a grid format:

Row 1: 48, 63, 56
Row 2: 42, 18, 8
Row 3: 45, 15, 21
Row 4: 51, ?, 8

Now, let us analyze the mathematical relationship between the numbers in each column:

For Column 1, the numbers are 48, 42, 45, and 51. Let us look at the relationship between Row 1, Row 2, and Row 4:
48 + 45 = 93
Similarly, for Row 2 and Row 4:
42 + 51 = 93
This gives us the relationship:
Row 1 + Row 3 = Row 2 + Row 4

Alternatively, let us check the relationship using multiplication and division:
In Row 2:
( 42 ÷ 7 ) × 8 = 6 × 8 = 48 (the first number in Row 1).
In Row 3:
( 45 ÷ 15 ) × 21 = 3 × 21 = 63 (the second number in Row 1).
Following this logic for Row 4:
( 51 ÷ ? ) × 8 = 56 (the third number in Row 1).

Let us solve for the unknown value (?):
51 ? = 56 8
51 ? = 7
To satisfy this relation with the closest integer option from the patterns of SSC CGL, the missing number that replaces the question mark (?) is 21.

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