Study the given pattern carefully and select the number that can replace the question mark in it Fir...........

General Intelligence and Reasoning (CHSL) Number series

Study the given pattern carefully and select the number that can replace the question mark (?) in it.

First row - 13, 50, 104

Second row - 11, 42, ?

Third row - 18, 70, 144

(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 /deleting /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)

This questions was previously asked in

SSC CHSL 26th May 2022 Shift-1

View All SSCCHSL Previous Year Papers

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Explanation:

Correct option 3: 88

Analyzing the Number Pattern to Find the Missing Value

The question asks us to identify the pattern within the given rows of numbers and use it to determine the missing value represented by the question mark (?). We are specifically instructed to treat each number as a whole and not break it down into individual digits.

Let's examine the relationship between the numbers in each row:

Row	First Number	Second Number	Third Number
1	13	50	104
2	11	42	?
3	18	70	144

Let's try to find a consistent operation or relationship between the numbers in each row. We can look for relationships between the first and second numbers, the first and third numbers, or the second and third numbers.

Relationship Between First and Second Numbers

Let's test a potential pattern for the second number based on the first number:

Row 1: From 13 to 50. What can we do with 13 to get close to 50? 13×4=52. If we subtract 2, 52−2=50. This fits the first row.
Row 3: From 18 to 70. Let's apply the same potential pattern: 18×4=72. Subtracting 2, 72−2=70. This also fits the third row.
Row 2: From 11 to 42. Let's apply the pattern: 11×4=44. Subtracting 2, 44−2=42. This fits the second row.

The pattern "Second Number = (First Number × 4) - 2" holds true for all three rows.

Relationship Between First and Third Numbers

Now, let's look for a pattern involving the first and third numbers:

Row 1: From 13 to 104. What can we do with 13 to get 104? 13×8=104. This fits the first row.
Row 3: From 18 to 144. Let's test multiplying by 8: 18×8=144. This also fits the third row.
Row 2: From 11 to ?. Applying this pattern, the third number should be 11×8.

Calculation for Row 2 using this pattern:

11×8=88

This suggests the missing number is 88.

Relationship Between Second and Third Numbers

Let's also check for a pattern involving the second and third numbers:

Row 1: From 50 to 104. 50×2=1005. Adding 4, 100+4=104. This fits the first row.
Row 3: From 70 to 144. 70×2=140. Adding 4, 140+4=144. This also fits the third row.
Row 2: From 42 to ?. Applying this pattern, the third number should be 42×2+4.

Calculation for Row 2 using this pattern:

42×2+4=84+4=88

This pattern also suggests the missing number is 88.