Question
Determine the value of
[(P/10)2 - 21] Two number series 'l' and 'II' are given below. Both series have a missing term, if 'P' and 'Q' are natural numbers, then find their values and answer the questions based on it. l. 13, 95, 218, 'P' , 619, 913 II. 108, 122, 143, 178, (Q2 + 2)  , 304Solution
ATQ, For I: 13 + (92 + 1) = 95 95 + (112 + 2) = 218 218 + (132 + 3) = 390 390 + (152 + 4) = 619 619 + (172 + 5) = 913 So, 'A' = 390 For II: 108 + (2 X 7) = 122 122 + (3 X 7) = 143 143 + (5 X 7) = 178 178 + (7 X 7) = 227 277 + (7 X 11) = 304 So, Q2 + 2 = 227 Or, Q2 = 225 So, 'Q' = ±15 Since, 'Q' is a natural number, therefore 'Q' = 15. Required value = (P /10)2 - 21 = (390/10)2 - 21 = 392 - 21 = 1521 - 21 = 1500
612, 487,?, 396, 388, 387
Find the missing number in the given number series.
1, 2, 6, 24, 120, ?What will come in place of the question mark (?) in the following series?
36, 85, ?, 230, 330, 451
Find the missing term in the series:
2, 5, 11, 23, 47, ?
What will come in place of the question mark (?) in the following series?
400, 841, 1202, ?, 1716, 1885
44   45    41   50    ?      59    23
...221, 100, 0, -81, ?
...900 Â Â Â 90Â Â Â 18Â Â Â ? Â Â Â Â 2.16Â Â Â Â 1.08
16, 20, 11, 27, ?, 38
37, 57, 82, ?, 147, 187