Directions:(1-5) Find the missing number in the following number series:

1. 12, 30, 105, 472.5, ?, 16891.875

Ans:3
The pattern is 12×2.5=30, 30×3.5=105, 105×4.5=472.5, 472.5×5.5=2598.75, 2598.75×6.5=16891.875

 

2. 2673, 1782, 1188, 792, ?, 352

Ans:2
The series is a GP with common ratio 2/3.2673 x 2/3 = 1782, 1782 x 2/3 =1188, 1188 x 2/3 = 792, 792 x 2/3 = 528, 528 x 2/3 = 352

 

3. 71, 85, 76, 78, 84, 73, 95, 70, ?

Ans:1
The terms at odd positions increase by 5, 8, 11, 14.. while the terms at even positions decrease by 7, 5, 3..Hence the next term is 95+14 = 109

 

4. 135, 199, 320, 445, 589, ?

Ans:2
The pattern is 135+43=199, 199+112=320, 320+53=445, 445+122=589, 589+63=805

 

5. 268, 345, 441, ?, 698, 863

Ans:4
The pattern is 268 + 7×11 = 345, 345 + 8×12 = 441, 441 + 9×13 = 558, 558 + 10×14 = 698, 698 + 11×15 = 863

 

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

6. 7, 5, 8, 6, 12, 14, 21, 41, ?

Ans:5
This is a composite series. The odd terms increase by 12, 22, 32 and so on and the even terms increase by 13, 23, 33 and so on.Hence the next term is 21+16 = 37

 

7. 436, 557 ,701 ,870 ,?

Ans:2
The pattern is:436+112 = 557, 557+122 = 701, 701+132 = 870, 870+142 = 1066

 

8. 71 95 121 149 179 ?

Ans:2
The successive differences are 24, 26, 28, 30, 32So the next term is 179+32 = 211

 

9. 38 42 69 85 210 ?

Ans:1
The successive differences are 22, 33, 42, 53, and 62Hence the next term will be 210+36 = 246

 

10. 156 186 234 258 338 ?

Ans:1
The next term is obtained by adding the product of digits to the number.156+(1*5*6) = 186

186+(1*8*6)= 234

234+(2*3*4)=258

258+(2*5*8)=338

338+(3*3*8)=410

 

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8 thoughts on “Number Series”

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