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(1)
(c) The series is based on following pattern:
3 × 2 + 3 = 9
9 × 3 – 4 = 23
23 × 4 + 5 = 97 (not 99)
97 × 5 – 6 = 479
Obviously, the number 99 is wrong and it should be
replaced with 97.

(2)
(a) The pattern of the number series is:
32 + 1² = 32 + 1 = 33 
33 + 2² = 33 + 4 = 37
37 + 3² = 37 + 9 = 46
46 + 4² = 46 + 16 =62
62 + 5² =62 + 25 = 87

(3)
(e) The pattern of the number series is:
33 + 288 = 321
321 + 144 = 465
465 + 72 = 537
537 + 36 = 573
573 + 18 = 591 
591 + 9 = 600

(4)
(a) The pattern of the number series is:
37 + 1 × 5 = 42 
42 + 2 × 5 = 52
52 + 3 × 5 =67
67 + 4 × 5 = 87
87 + 5 × 5 = 112
(1)
112 + 6 × 5 = 142

(5)
(3 ) The series is based on the following pattern:
Obvious 3.5 is the wrong number which should be
replaced by 3.

(6)
(c) The series is based on following pattern:
Hence, 29 is the wrong number.

(7)
(b) The pattern is :
4 × 8 – 8 = 32 – 8 = 24
24 × 7 – 7 = 168 – 7 = 161
161 × 6 – 6 = 966 – 6
960 
960 × 5 – 5 = 4800 – 5 = 4795

(8)
(c) The pattern of the given series is :
4 × 0.5 + 1 = 2 + 1 = 3
3 × 1 + 1.5 = 3 + 1.5 = 4.5
4.5 × 1 + 2 = 6.75 + 2
= 8.75 [8.5]
8.75 × 2 + 2.5 = 17.5 + 2.5 = 20
20 × 2.5 + 3= 50 + 3 = 53

(9)
(b) The series is based on following pattern:
Hence, the wrong number is 75.

(10)
(d) The pattern of the number series is:
(4444 ) + 2 = 2224
(2224 2 ) + 2 =1114
(1114 2) + 2 = 559 
(559 2 = 2815