Question

Identity the rule and find the missing number is place of question mark.

41, 43, 4
47, 53, 36
?, 61, 4

a) 57
b) 59
c) 63
d) 67​

Answer 1

Answer:

61..

43 47 53 59 61

4 6 6 4 1st difference between numbers

2 0 -2 2nd difference between numbers of first difference

we see that 2nd difference is an AP with starting term being 2, and difference being -2

so the 4th term of 2nd difference will be eventually, -4

and hence, 5th term of 1st difference will be 0

and hence, 6th term of the original series will be 61..

Look at this,

43 47 53 59 61 61

4 6 6 4 0

2 0 -2 -4

Step-by-step explanation:

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Answer 2

Answer:

b) 59

Step-by-step explanation:

In the first row numbers are 41, 43, 4. Take 41 as A, 43 as B and 4 as C.

Used identity: B - √C = A

Apply this rule on first law,

→ 43 - √4 = 41

→ 43 - 2 = 41

→ 41 = 41

In the second row numbers are 47, 53, 36. Take 47 as A, 53 as B and 36 as C.

→ 53 - √36 = 47

→ 53 - 6 = 47

→ 47 = 47

In third row numbers are 61 and 4. Assume that the missing number is x. Take x as A, 61 as B and 4 as C.

→ 61 - √4 = x

→ 61 - 2 = x

→ 59 = x

Hence, the missing number is 59.