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Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row: 21, 12, 19
Second row: 27, 10, 19
Third row: 24, 10, ?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

  1. A
    19
  2. B
    16
  3. C
    18
  4. D
    17

Solution & Step-by-step Explanation

Let's determine the relationship between columns in each row:
First row: 21,12,19
Let's check the arithmetic combinations:

3
21+12×2

=
3
21+24

=
3
45

=15

=19
Let's try another logic:

(21−19)×6=12→2×6=12
Let's verify if this holds for the second row:

Second row: 27,10,19

(27−19)×something

=10
Let's try:

Row 1:21+12=33→33−14=19
Row 2:27+10=37→37−18=19
(No common pattern)

Let's examine column combinations:

Row 1:21+19=40⟹40−12=28
Let's check:

2×(Column 3)−Column 2=Column 1
Row 1:2×19−12=38−12=26

=21
Let's try:

3
Column 1+Column 2

+constant
Let's look at:

Row 1:
3
21

+12=7+12=19
Let's verify this rule:
3
Column 1

+Column 2=Column 3

Second row:

3
27

+10=9+10=19
This matches the third column exactly!

Third row: Applying this confirmed rule:

3
24

+10=8+10=18
Thus, the missing number is 18.

Practice this question

Try it yourself before checking the explanation above.

Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row: 21, 12, 19
Second row: 27, 10, 19
Third row: 24, 10, ?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
A
19
B
16
C
18
D
17

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