Directions:(1-5) Find the wrong term in the series given below.

1. 15, 61, 246, 989, 3952, 15813

Ans:4
The pattern is as follows:

15 x 4 + 1 = 61

61 x 4 + 2 = 246

246 x 4 + 3 = 987

987 x 4 + 4 = 3952

3952 x 4 + 5 = 15813

 

2. 37, 69, 111, 157, 213, 277

Ans:4
The pattern is as follows:

62 + 1 = 37

82 + 5 = 69

102 + 9 = 109

122 + 13 = 157

142 + 17 = 213

162 + 21 = 277

 

3. 35, 120, 255, 442, 675, 960

Ans:3
The pattern is as follows:

5 x 7 = 35

10 x 12 = 120

15 x 17 = 255

20 x 22 = 440

25 x 27 = 675

30 x 32 = 960

 

4. 8, 32, 67, 117, 178, 258

Ans:2
The pattern is as follows:

8 + (52 – 1) = 32

32 + (62 – 1) = 67

67 + (72 – 1) = 115

115 + (82 – 1) = 178

178 + (92 – 1) = 258

 

5. 13, 32, 69, 132, 221, 348

Ans:1
The pattern is as follows:

23 + 5 = 13

33 + 5 = 32

43 + 5 = 69

53 + 5 = 130

63 + 5 = 221

73 + 5 = 348

 

Directions:(6-10) Find out the numbers that will be there in place of ‘?’.

6. 1542, ?, 9257, 37031, 185159

Ans:2
1542 x 2 + 1 = 3085

3085 x 3 + 2 = 9257

9257 x 4 + 3 = 37031

37031 x 5 + 4 = 185159

 

7. 2, 3.5, 9.5, 32, ?, 668

Ans:4
The pattern is
2×1+1.5=3.5, 3.5×2+2.5=9.5, 9.5×3+3.5=32, 32×4+4.5=132.5, 132.5×5+5.5=668

 

8. 7, 13, 23, 38, 59, ?

Ans:3
The pattern is: 7+1+2+3=13, 13+1+2+3+4=23, 23+1+2+3+4+5=38, 38+1+2+3+4+5+6=59, 59+1+2+3+4+5+6+7=87

 

9. 6 ,7, 18 ,63, 268 ,?, 8226

Ans:2
The series is in the form: 6×1+1^2=7, 7×2+2^2=18, 18×3+3^2=63, 63×4+4^2=268, 268×5+5^2=1365, 1365×6+6^2=8226

 

10. 0, 6, 24, 60, 120, ?, 336

Ans:1
The numbers are 13 – 1 =0, 23 – 2 = 6, 33 – 3 = 24, 43 – 4 = 60, 53 – 5 = 120.

So the answer is 63 – 6 = 210.

 

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