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

1. 59, 69, 90, 125, 169, 229

Ans:5
The pattern is as follows:59 + 10 = 69

69 + 10+ 11 = 90

90 + 10+ 11+ 12 = 123

123 + 10+ 11+ 12+ 13 = 169

169 + 10+ 11+ 12+ 13+ 14 = 229

 

2. 10, 22, 46, 96, 190, 382

Ans:5
The pattern is as follows:10 x 2 + 2 = 22

22 x 2 + 2 = 46

46 x 2 + 2 = 94

94 x 2 + 2 = 190

190 x 2 + 2 = 382

 

3. 704, 688, 652, 588, 490, 344

Ans: 4
The pattern is as follows:704 – 42 = 688

688 – 62 = 652

652 – 82 = 588

588 – 102 = 488

488 – 122 = 344

 

4. 99, 53, 27, 15, 9, 6

Ans:3
The pattern is as follows:(99 + 3) / 2 = 51

(51 + 3) / 2 = 27

(27 + 3) / 2 = 15

(15 + 3) / 2 = 9

(9 + 3) / 2 = 6

 

5. 42, 70, 106, 152, 202

Ans:2
The pattern is as follows:62 + 6 = 42

82 + 6 = 70

102 + 6 = 106

122 + 6 = 150

142 + 6 = 202

 

Directions:(6-10) What should come in place of the question mark (?) in the following number series?

6. 2 ,9, 30, 105 ,436, ?

Ans:2
The pattern is:(2+7)x1 = 9, (9+6)x2 = 30, (30+5)x3 = 105, (105+4)x4=436, (436+3)x5 = 2195

 

7. 1237 ,1547 ,2158, 2471, 3079, ?

Ans:3
In every term, the first two digits are formed by adding the first two digits of the previous number to the sum of their digits. Same is true for the last two digits as well.(12+1+2)(37+3+7) = 1547, (15+1+5)(47+4+7) = 2158, (21+2+1)(58+5+8) = 2471, (24+2+4)(71+7+1) = 3079.

Hence next term (30+3+0)(79+7+9) = 3395

 

8. 828, 280, 75 ,21 ,10.5 ,?

Ans: 2
828/3 + 4 = 280, 280/4 + 5 = 75, 75/5 + 6 = 21, 21/6 + 7 = 10.5, 10.5/7 + 8 = 9.5

 

9. 39.48, 40.59, 42.81, 46.14, ?

Ans:1
39.48+1.11=40.59, 40.59+2.22=42.81, 42.81+3.33=46.14, 46.14+4.44=50.58

 

10. 97 95 91 83 78 ?

Ans:3
The next term is obtained by subtracting the difference of digits from the number.97-2 = 95, 95-4 = 91, 91 – 8 = 83, 83 – 5 = 78, 78-1=77

 

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8 thoughts on “Number Series”

  5. Marcos

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