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Solution :-
(71)
(a) The series is based on following pattern:
2 + 3 = 5 5 + 3 = 8
8 + 5 = 13 13 + 8 = 21
21 + 13 = 34
Obviously, the number 4 is wrong and it should be
replaced with 3.
(72)
(e) The followed pattern is:
Hence, the wrong number is 176.
(73)
(c) The pattern is:
2 × 6 – 6 = 6
6 × 5 – 5 = 25 [24]
24 × 4 – 4 = 96
96 × 3 – 3 = 285
(74)
(b) The pattern is:
2 × 6 – 6 = 6
6 × 5 – 5 = 25 [24]
25 × 4 – 4 = 96
96 × 3 – 3 = 285
(75)
(a) The original series is based on following pattern:
2 × 2 +3 = 7
7 × 2 + 5 = [19]
19 × 2 + 7 = 45
45 × 2 + 9 = 99
99 × 2 + 11 = 209
209 × 2 +13 = 431
Therefore, the number 18 is wrong. Hence, the new
series is as follows:
18 × 2 + 3 = 39 ———2nd. term
39 × 2 + 5 = 83 ——–3rd term
83 × 2 + 7 = [173 ——4th. term]
173 × 2 + 9 = 355
Therefore, the fourth term of the new series is 173.
(76)
(e) The pattern of the given series is :
2222 – 7³ = 2222 – 343 = 1879
1879 – 6³ = 1879 – 216 = 1663
1663 – 5³ = 1663 – 125 = 1538
1538 – 4³ = 1538 – 64 = 1474
1474 – 3³ = 1474 – 27 = 1447
1447 – 2³ = 1447 – 8 = 1439 [1440]
(77)
(a) The pattern is:
3 × 3 + 1² = 9 + 1 = 10
10 × 3 + 2² = 30 + 4
= 34 [33]
34 × 3 + 3² = 102 + 9 = 111
111 × 3 + 4² = 333 + 16 = 349
349 × 3 + 5² = 1047 + 25 = 10724
(78)
(a) The pattern is:
3 × 3 + 1² = 9 + 1 = 10
10 × 3 + 2² = 30 + 4 =
34 [34]
34 × 3 + 3² = 102 + 9 = 111
111 × 3 + 4² = 333 + 16 = 349
349 × 3 + 5² = 1047 + 25 = 1072
(79)
(3 ) The series is based on the following pattern:
3 × 7 + 2 × 7 = 21 + 14 = 35
35 × 6 + 3 × 6= 210 + 18 = 228 [226]
228 × 5 + 4 × 5 = 1140 + 20
= 1160
1160 × 4 + 5 × 4 = 4640 + 20
= 4660
4660 × 3 + 6 × 3 = 13980 + 18 = 13998
Hence, 226 is the wrong number.
(80)
(d) The series is based on following pattern:
4 – 3 = 2²
13 – 4 = 9 = 3²
38 – 13 = 25 = 5²
87 – 38 = 49 = 7²
168 – 87 = 81 = 9²
289 – 168 = 121 = 11²
Obviously, 166 is wrong number
