Question 1

3, 7, 16, 32, 56, 93, 142

Accepted Answer

The series is 22, + 32, + 42, + 52, + 62, + 72 . The wrong no. is 56; 32 + 52 = 32 + 25 = 57

Question 2

4, 5, 12, 38, 160, 805, 4835

Accepted Answer

The series is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4, x 5 + 5, x 6 + 6. The wrong no. is 38; 12 x 3 + 3 = 36 + 3 = 39

Question 3

8, 11, 17, 47, 128, 371, 1100

Accepted Answer

The series is x 3 - 13

Question 4

1, 5, 13, 31, 61, 125, 253

Accepted Answer

The series is + 22, + 23, + 24, + 25, + 26, + 27

Question 5

9, 62,?, 1854, 7415, 22244

Accepted Answer

The series is x 7 - 1, x 6 -1, x 5 - 1, x 4 - 1, x 3 - 1

Question 6

4, 8, 24, 60,?, 224

Accepted Answer

The series is + 22, + 42, + 62, + 82, + 102

Question 7

8000, 1600, 320, 64, 12.8?

Accepted Answer

The series is ÷ 5.

Question 8

6, 9, 15 27, 51,?

Accepted Answer

The series is + 3, + 6, + 12, + 24, 48, ......

Question 9

7, 8, 18,?, 232, 1165

Accepted Answer

The series is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4, x 5 + 5

Question 10

3, 5, 13, 43, 176, 891, 5353

Accepted Answer

The series is x 1 +2, x 2 + 3, x 3 + 4, x 4 + 5, x 5 +6, x 6 + 7. Correct answer 177

Question 11

6, 7, 16, 41, 90, 154, 292

Accepted Answer

The series + (1)2, + (3)2, + (5)2, + (7)2, + (9)2, + (11)2. Correct answer 171.

Question 12

5, 7, 16, 57, 244, 1245, 7506

Accepted Answer

The series is x 1 + (1)2, x 2 + (2)2, x 3 + (3)2, x 4 + (4)2, x 5 + (5)2, x 6 + (6)2.

Question 13

2, 11, 38, 197, ? , 1170, 8227, 65806

Accepted Answer

As per the details in the question the series is in the form of First term = 2 Second term = First term × 3 + 5 ⇒ Second term = 2 × 3 + 5 = 11 Third term = Second term × 4 - 6 ⇒ Third term = 11 × 3 + 5 = 38 Fourth term = Third term × 5 + 7 ⇒ Fourth term = 38 × 5 + 7 = 197 ; Fifth term = Fourth term × 6 - 8 ⇒ Fifth term = 197 × 6 - 8 = ? ∴ ? = 1174 Similarly , we can find all others terms also. Sixth term = Fifth term × 7 + 9 ⇒ Sixth term = 1174 × 7 + 9 = 8227; Seventh term = Sixth term × 8 - 10 ⇒ Sixth term = 1174 × 8 - 10 = 65806 Hence , Fifth term = 1174

Question 14

7, 9, 16, 25, 41, ?, 107, 173

Accepted Answer

As per the details in the question the series is in the form of First term + Second term = Third term ⇒ 7 + 9 = 16; Second term + Third term = Fourth term ⇒ 9 + 16 = 25; Similarly , we can find all others terms also. Third term + Fourth term = Fifth term ⇒ 16 + 25 = 41; Fourth term + Fifth term = Sixth term ⇒ 25 + 41 = ? ∴ ? = 66 Fifth term + Sixth term = Seventh term ⇒ 41 + 66 = 107 Sixth term + Seventh term = Eighth term ⇒ 66 + 107 = 173 Hence , Sixth term = 66

Question 15

16, 4, 2, 1.5, ?, 1.875

Accepted Answer

The given series is in the below pattern, First term = 16 Second term = First term × 0.25 ⇒ Second term = 16 × 0.25 = 4 Third term = Second term × 0.50 ⇒ Third term = 4 × 0.50 = 2 Fourth term = Third term × 0.75 ⇒ Fourth term = 2 × 0.75 = 1.5 Fifth term = Fourth term × 1 ⇒ Fifth term = 1.5 × 1 = 1.5 ; ∴ ? = 1.5 Similarly , we can find all others terms also. Sixth term = Fifth term × 1.25 ⇒ Sixth term = 1.5 × 1.25 = 1.875 Hence , Fourth term = 3

Question 16

4 , 2 , ?, 7.5, 26.25, 118.125

Accepted Answer

As per the details in the question the series is in the form of First term = 4 Second term = First term × 0.5 ⇒ Second term = 4 × 0.5 = 2 Third term = Second term × 1.5 ⇒ Third term = 2 × 1.5 = ? ∴ ? = 3 Fourth term = Third term × 2.5 ⇒ Fourth term = 3 × 2.5 = 7.5 ; Fifth term = Fourth term × 3.5 ⇒ Fifth term = 7.5 × 3.5 = 26.25 ; Similarly , we can find all others terms also. Sixth term = Fifth term × 4.5 ⇒ Sixth term = 26.25 × 4.5 = 118.125; Hence , Third term = 3

Question 17

16, ?, 21, 30, 46, 71, 107

Accepted Answer

The given series is in the below pattern, First term = 16 Second term = First term + 12 ⇒ Second term = 16 + 12 = 17 ∴ ? = 17 Third term = Second term + 22 ⇒ Third term = 17 + 22 = 21 Fourth term = Third term + 32 ⇒ Fourth term = 21 + 32 = 30 ; Fifth term = Fourth term + 42 ⇒ Fifth term = 30 + 42 = 46 ; Similarly , we can find all others terms also. Sixth term = Fifth term + 52 ⇒ Sixth term = 46 + 52 = 71; Seventh term = Sixth term + 62 ⇒ Sixth term = 71 + 62 = 107 Hence , Second term = 17

Question 18

5 9 26 90 13 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (e)?

Accepted Answer

The given series is in the below pattern , First series :- First term = 5 Second term = First term × 1 + 4 ⇒ Second term = 5 × 1 + 4 = 9 Third term = Second term × 2 + 8 ⇒ Third term = 9 × 2 + 8 = 26 similarly , we can find the all others terms . ......... and so on . Second series :- First term = 13 Second term = First term × 1 + 4 ⇒ Second term = 13 × 1 + 4 = 17 Third term = Second term × 2 + 8 ⇒ Third term = 17 × 2 + 8 = 42 Fourth term = Third term × 3 + 12 ⇒ Fourth term = 42 × 3 + 12 = 138 Fifth term = Fourth term × 4 + 16 ⇒ Fifth term = 138 × 4 + 16 = 568 Sixth term = Fifth term × 5 + 20 ⇒ Sixth term = 568 × 5 + 20 = 2860 Hence , the place value of ( e ) is 2860 .

Question 19

1260 628 312 154 788 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d)?

Accepted Answer

As per the details of question is given series in the form of , First series :- First term = 1260 Second term = First term ÷ 2 - 2 ⇒ Second term = 1260 ÷ 2 - 2 = 628 Third term = Second term ÷ 2 - 2 ⇒ Third term = 628 ÷ 2 - 2 = 312 similarly , we can find the all others terms . ......... and so on . Second series :- First term = 788 Second term = First term ÷ 2 - 2 ⇒ Second term = 788 ÷ 2 - 2 = 392 Third term = Second term ÷ 2 - 2 ⇒ Third term = 392 ÷ 2 - 2 = 194 Fourth term = Third term ÷ 2 - 2 ⇒ Fourth term = 194 ÷ 2 - 2 = 95 Fifth term = Fourth term ÷ 2 - 2 ⇒ Fifth term = 95 ÷ 2 - 2 = 45.5 Hence , the place value of ( d ) is 45.5 .

Question 20

5 6 16 57 244 1245 2 (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 = 5 Second term = First term × 1 + 12 ⇒ Second term = 5 × 1 + 1 = 6 Third term = Second term × 2 + 22 ⇒ Third term = 6 × 2 + 4 = 16 similarly , we can find the all others terms . Second series :- First term = 2 Second term = First term × 1 + 12 ⇒ Second term = 2 × 1 + 1 = 3 Third term = Second term × 2 + 22 ⇒ Third term = 3 × 2 + 4 = 10 Fourth term = Third term × 3 + 32 ⇒ Fourth term = 10 × 3 + 9 = 39 Fifth term = Fourth term × 4 + 42 ⇒ Fifth term = 39 × 4 + 16 = 172 Hence , the place value of ( d ) is 172 .

Number Series Questions