Question 1

2 , 8 ,32 , 148 , 765 , 4626 , 32431

Accepted Answer

From the given graph , we can see that the increasing order of series as - First term = 2 Second term = First term × 2 + 22 ⇒ Second term = 2 × 2 + 22 = 4 + 4 = 8 ; Third term = Second term × 3 + 32 ⇒ Third term = 8 × 3 + 32 = 24 + 9 = 32 ; 32 is wrong. It should be 33. Similarly , we can find all others terms also. Fourth term = Third term × 4 + 42 ⇒ Fourth term = 33 × 4 + 42 = 132 + 16 = 148 ; Fifth term = Fourth term × 5 + 52 ⇒ Fifth term = 148 × 5 + 52 = 740 + 25 = 765 ; Sixth term = Fifth term × 6 + 62 ⇒ Sixth term = 765 × 6 + 62 = 4590 + 36 = 4626 ; Seventh term = Sixth term × 7 + 72 ⇒ Seventh term = 4626 × 7 + 72 = 32382 + 49 = 32431 Hence, 32 is wrong. It should be 33.

Question 2

108 , 54 , 36 ,18 , 9 , 6 , 4

Accepted Answer

The given series is in the below pattern,we can see that Next term = Previous term ÷ n { putting n = 2 and 1.5 alternately } First term = 108 Second term = First term ÷ 2 ⇒ Second term = 108 ÷ 2 = 54 ; Third term = Second term ÷ 1.5 ⇒ Third term = 54 ÷ 1.5 = 36 ; Third term = Third term ÷ 2 ⇒ Fourth term = 36 ÷ 2 = 18 ; Fifth term = Fourth term ÷ 1.5 ⇒ Fifth term = 18 ÷ 1.5 = 9 is wrong. It should be 12. Sixth term = Fifth term ÷ 2 ⇒ Sixth term = 12 ÷ 2 = 6 ; Seventh term = Sixth term ÷ 1.5 ⇒ Seventh term = 8 ÷ 1.5 = 4 Hence, 9 is wrong. It should be 12.

Question 3

0 , 1 , 9 , 36 , 99 , 225 , 441

Accepted Answer

From above given series , we can see that The differences are given as - Second term - First term = 1– 0 = 1 = 13; Third term - Second term = 9 – 1= 8 = 23; Similarly , we can find all others terms also. Fourth term - Third term = 36 – 9 = 27 = 33; Fifth term - Fourth term = 99 – 36 = 63 ≠ 4 3 But , Fifth term - Fourth term = 100 – 36 = 64 = 43; Here , fifth term 99 is wrong , it should be 100 as fifth term . Sixth term - Fifth term = 225 – 100 = 125 = 53; Seventh term - Sixth term = 441– 225 = 216 = 63

Question 4

2 , 3 , 6 , 15 , 45 , 156.5 , 630

Accepted Answer

As per the details in the question the series is in the form of First term = 2 Second term = First term × 1.5 ⇒ Second term = 2 × 1.5 = 3 ; Third term = Second term × 2 ⇒ Third term = 3 × 2 = 6 ; Similarly , we can find all others terms also. Fourth term = Third term × 2.5 = 6 × 2.5 = 15 ; Fifth term = Fourth term × 3 = 15 × 3 = 45 ; Sixth term = Fifth term × 3.5 = 45 × 3.5 =156.5; 156.5 is wrong. It should be 157.5 . Seventh term = Sixth term × 4 =157.5 × 4 = 630 Hence, 156.5 is wrong. It should be 157.5.

Question 5

5 , 8 ,16 , 26 , 50 , 98 ,194

Accepted Answer

The given series is in the below pattern, Next term = ( Previous term × 2 ) - 2 First term = 5 Second term = ( First term × 2 ) - 2 ⇒ Second term = ( 5 × 2 ) - 2 = 8 ; Third term = ( Second term × 2 ) - 2 ⇒ Third term = ( 8 × 2 ) - 2 = 16; 16 is wrong. It should be 14. Similarly , we can calculate all others terms also. Fourth term = ( Third term × 2 ) - 2 ⇒ Fourth term = ( 14 × 2 ) - 2 = 26 ; Fifth term = ( Fourth term × 2 ) - 2 ⇒ Fifth term = ( 26 × 2 ) - 2 = 50 ; Sixth term = ( Third term × 2 ) - 2 ⇒ Sixth term = ( 50 × 2 ) - 2 = 98 ; Seventh term = ( Sixth term × 2 ) - 2 ⇒ Seventh term = ( 98 × 2 ) - 2 = 194 Hence, 16 is wrong. It should be 14.

Question 6

42 62 92 132 A 242 312 A + 14 = ? × 14

Accepted Answer

Question 7

18 24 A 51 72 98 129 A × 3 × 4 = ? 7 5

Accepted Answer

Question 8

3/ 8 3/ 4 9/ 16 9/ 8 27/ 32 27/ 16 A √ A =?

Accepted Answer

Question 9

36 216 64.8 388.8 A 699.84 209.952 A ÷ 36 = ?

Accepted Answer

The given series is in the below pattern, First term = 36 Second term = First term × 6 ⇒ Second term = 36 × 6 = 216 Third term = Second term × 0.3 ⇒ Third term = 216 × 0.3 = 64.8 Fourth term = Third term × 6 ⇒ Fourth term = 64.8 × 6 = 388.8 Fifth term = Fourth term × 0.3 ⇒ Fifth term = 388.8 × 0.3 = A ∴ A = 116.64 So, 116.64 will come in place of A. Similarly , we can find all others terms also. now , 116.64 ÷ 36 = 3.24

Question 10

4 7 12 19 28 A 52 A 2 – 4 = ?

Accepted Answer

The given series is in the below pattern, First term = 4 Second term = First term + 3 ⇒ Second term = 4 + 3 = 7 Third term = Second term + 5 ⇒ Third term = 7 + 5 = 12 Fourth term = Third term + 7 ⇒ Fourth term = 12 + 7 = 19 Fifth term = Fourth term + 9 ⇒ Fifth term = 19 + 9 = 28 Sixth term = Fifth term + 11 ⇒ Sixth term = 28 + 11 = A ∴ A = 39 So, 39 will come in place of A. Similarly , we can find all others terms also. now , A2 – 4 = 392 – 4 = 1517 Hence ? = 1517

Question 11

FOX, GP?, HQZ

Accepted Answer

As per the details in the question the series is in the form of From given figure , it is clear that we are getting next all others terms of given series on adding 1 in every previous alphabet of series . Hence the place value of ? is Y .

Question 12

YEB, WFD, UHG, SKI, (?)

Accepted Answer

As per the details in the question the series is in the form of 1st letter moves –2 steps each time. 2nd letter moves +1, +2, +3, +4 steps respectively. 3rd letter moves +2, +3, steps alternatively. Hence the required answer is QOL .

Question 13

BEH, KNQ, TWZ,?

Accepted Answer

As per the details in the question the series is in the form of All the letters of each term are moved nine steps forward to obtain the corresponding letters of the next term. So , the next term of given series will be CFI .

Question 14

A, CD, GHI,?, UVWXY

Accepted Answer

The number of letters in the terms goes on increasing by one at each step. Also, there is a gap of one letter between the last letter of the first term and first letter of the second term and a gap of two letters between the last letter of the second term and first letter of the third term. So, the first letter of the required term would be four steps ahead of the last letter of the third term. The order of above series given as - A, CD, GHI , ( ? ) , UVWXY 1 , 3 4 , 7 8 9 , ( 13 14 15 16 ) , 21 22 23 24 25 So ? = MNOP → 13 14 15 16 Hence , required answer will be MNOP .

Question 15

ABD, DGK, HMS, MTB, SBL,?

Accepted Answer

As per the details in the question the series is in the form of From given figure , it is clear that Hence the place value of ? is ZKW .

Question 16

3 10 32 111 460 2315 2 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (b)?

Accepted Answer

The given series is in the below pattern , First series :- First term = 3 Second term = First term × 1 + 7 × 1 ⇒ Second term = 3 × 1 + 7 × 1 = 3 + 7 = 10 Third term = Second term × 2 + 6 × 2 ⇒ Third term = 10 × 2 + 6 × 2 = 20 + 12 = 32 similarly , we can calculate the all next terms . Second series :- First term = 2 Second term = First term × 1 + 7 × 1 ⇒ Second term = 2 × 1 + 7 × 1 = 2 + 7 = 9 Third term = Second term × 2 + 6 × 2 ⇒ Third term = 9 × 2 + 6 × 2 = 18 + 12 = 30 Hence , the place value of ( b ) is 30 .

Question 17

2 3 10 39 172 885 5 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d)?

Accepted Answer

As per the details in the question the series is in the form of First series :- First term = 2 Second term = First term × 1 + 12 ⇒ Second term = 2 × 1 + 1 = 2 + 1 = 3 Third term = Second term × 2 + 22 ⇒ Third term = 3 × 2 + 4 = 6 + 4 = 10 similarly , we can find the all others terms . Second series :- First term = 5 Second term = First term × 1 + 12 ⇒ Second term = 5 × 1 + 1 = 5 + 1 = 6 Third term = Second term × 2 + 22 ⇒ Third term = 6 × 2 + 4 = 12 + 4 = 16 Fourth term = Third term × 3 + 32 ⇒ Fourth term = 16 × 3 + 9 = 57 Fifth term = Fourth term × 4 + 42 ⇒ Fifth term = 49 × 4 + 16 = 244 Hence , the place value of ( d ) is 244 .

Question 18

10 11 15 24 40 6 (a) (b) (c) (d) (e) What will come in place of (c)?

Accepted Answer

As per the details in the question the series is in the form of First series :- First term = 10 Second term = First term + 12 ⇒ Second term = 10 + 12 = 10 + 1 = 11 Third term = Second term + 22 ⇒ Third term = 11 + 22 = 11 + 4 = 15 similarly , we can find the all others terms . Second series :- First term = 6 Second term = First term + 12 ⇒ Second term = 6 + 12 = 6 + 1 = 7 Third term = Second term + 22 ⇒ Third term = 7 + 22 = 7 + 4 = 11 Fourth term = Third term + 32 ⇒ Fourth term = 11 + 32 = 11 + 9 = 20 Hence , the place value of ( c ) is 20 .

Question 19

12 26 11 36 9 7 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (c)?

Accepted Answer

The given series is in the below pattern , First series :- First term = 12 Second term = First term × 2 + 2 ⇒ Second term = 12 × 2 + 2 = 26 Third term = Second term ÷ 2 - 2 ⇒ Third term = 26 ÷ 2 - 2 = 11 similarly , we can find the all others terms . ........... and so on. Second series :- First term = 7 Second term = First term × 2 + 2 ⇒ Second term = 7 × 2 + 2 = 16 Third term = Second term ÷ 2 - 2 ⇒ Third term = 16 ÷ 2 - 2 = 6 Fourth term = Third term × 3 + 3 ⇒ Fourth term = 6 × 3 + 3 = 21 Hence , the place value of ( c ) is 21.

Question 20

4 5 22 201 12 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d)?

Accepted Answer

The given series is in the below pattern , First series :- First term = 4 Second term = First term × 12 + 1 ⇒ Second term = 4 × 12 + 1 = 4 + 1 = 5 Third term = Second term × 22 + 2 ⇒ Third term = 5 × 22 + 2 = 20 + 2 = 22 similarly , we can calculate the all next terms . Second series :- First term = 12 Second term = First term × 12 + 1 ⇒ Second term = 12 × 12 + 1 = 12 + 1 = 13 Third term = Second term × 22 + 2 ⇒ Third term = 13 × 22 + 2 = 52 + 2 = 54 Fourth term = Third term × 32 + 3 ⇒ Fourth term = 54 × 32 + 3 = 486 + 3 = 489 Fifth term = Fourth term × 42 + 4 ⇒ Fifth term = 489 × 42 + 4 = 7824 + 4 = 7828 Hence , the place value of ( d ) is 7828 .

Number Series Questions