In the following question, select the missing number from the given series.
49169484811446251625?
- A37
- B47
- C48
- D25
Solution & Step-by-step Explanation
The given digits can be grouped as a grid or sequential set of three-digit/two-digit square numbers:
Let's rewrite the layout as three sets of columns/squares:
49, 169, 484
81, 144, 625
16, 25, ?
Let's find the square roots of these elements:
Row 1:
49
=7,
169
=13,
484
=22. Notice that 7+13=20, which does not directly equal 22, but let's check column-wise properties.
Column 1:
49
=7,
81
=9,
16
=4.
Column 2:
169
=13,
144
=12,
25
=5.
Column 3:
484
=22,
625
=25,
?
=x.
Look closely at the square roots column-wise:
Column 1: 7+9=16 (which is the third number itself: 16).
Column 2: 13+12=25 (which is the third number itself: 25).
Following the exact same rule for Column 3:
Square root of first value+Square root of second value=Third value
484
+
625
=22+25=47
Thus, the missing value is 47.
Let's rewrite the layout as three sets of columns/squares:
49, 169, 484
81, 144, 625
16, 25, ?
Let's find the square roots of these elements:
Row 1:
49
=7,
169
=13,
484
=22. Notice that 7+13=20, which does not directly equal 22, but let's check column-wise properties.
Column 1:
49
=7,
81
=9,
16
=4.
Column 2:
169
=13,
144
=12,
25
=5.
Column 3:
484
=22,
625
=25,
?
=x.
Look closely at the square roots column-wise:
Column 1: 7+9=16 (which is the third number itself: 16).
Column 2: 13+12=25 (which is the third number itself: 25).
Following the exact same rule for Column 3:
Square root of first value+Square root of second value=Third value
484
+
625
=22+25=47
Thus, the missing value is 47.