Question 1

3 5 9 17 33 65 7 (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 = 3 Second term = First term × 2 - 1 ⇒ Second term = 3 × 2 - 1 = 5 Third term = Second term × 2 - 1 ⇒ Third term = 5 × 2 - 1 = 9 similarly , we can find the all others terms . Second series :- First term = 7 Second term = First term × 2 - 1 ⇒ Second term = 7 × 2 - 1 = 13 Third term = Second term × 2 - 1 ⇒ Third term = 13 × 2 - 1 = 25 Fourth term = Third term × 2 - 1 ⇒ Fourth term = 25 × 2 - 1 = 49 Fifth term = Fourth term × 2 - 1 ⇒ Fifth term = 49 × 2 - 1 = 97 Hence , the place value of ( d ) is 97 .

Question 2

5 8 6 10 7 12 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 = 5 Second term = First term × 2 - 2 ⇒ Second term = 5 × 2 - 2 = 8 Third term = Second term ÷ 2 + 2 ⇒ Third term = 8 ÷ 2 + 2 = 6 Fourth term = Third term × 2 - 2 ⇒ Fourth term = 6 × 2 - 2 = 10 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 = 12 Third term = Second term ÷ 2 + 2 ⇒ Third term = 12 ÷ 2 + 2 = 8 Fourth term = Third term × 2 - 2 ⇒ Fourth term = 8 × 2 - 2 = 14 Hence , the place value of ( c ) is 14 .

Question 3

3 5 22 13.5 35 19 1 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (a)?

Accepted Answer

The given series is in the below pattern , First series :- First term = 3 Second term = First term ÷ 2 + 3.5 ⇒ Second term = 3 ÷ 2 + 3.5 = 1.5 + 3.5 = 5 Third term = Second term × 2 + 12 ⇒ Third term = 5 × 2 + 12 = 10 + 12 = 22 similarly , we can find the all others terms . Second series :- First term = 1 Second term = First term ÷ 2 + 3.5 ⇒ Second term = 1 ÷ 2 + 3.5 = 0.5 + 3.5 = 4 Third term = Second term × 2 + 12 ⇒ Third term = 4 × 2 + 12 = 8 + 12 = 20 Hence , the place value of ( a ) is 4 .

Question 4

17 21.5 30.5 44 62 21 (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 = 17 Second term = First term + 4.5 ⇒ Second term = 17 + 4.5 = 21.5 Third term = Second term + 9 ⇒ Third term = 21.5 + 9 = 30.5 similarly , we can find the all others terms . Second series :- First term = 21 Second term = First term + 4.5 ⇒ Second term = 21 + 4.5 = 25.5 Third term = Second term + 9 ⇒ Third term = 25.5 + 9 = 34.5 Fourth term = Third term + 13.5 ⇒ Fourth term = 34.5 + 13.5 = 48 Fifth term = Fourth term + 18 ⇒ Fifth term = 48 + 18 = 66 Sixth term = Fifth term + 22.5 ⇒ Sixth term = 66 + 22.5 = 88.5 Hence , the place value of ( e ) is 88.5 .

Question 5

2 3 6 15 45 16 (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 × 1.5 ⇒ Second term = 2 × 1.5 = 3 Third term = Second term × 2 ⇒ Third term = 3 × 2 = 6 similarly , we can find the all others terms . Second series :- First term = 16 Second term = First term × 1.5 ⇒ Second term = 16 × 1.5 = 24 Third term = Second term × 2 ⇒ Third term = 24 × 2 = 48 Fourth term = Third term × 2.5 ⇒ Fourth term = 48 × 2.5 = 120 Fifth term = Fourth term × 3 ⇒ Fifth term = 120 × 3 = 360 Hence , the place value of ( d ) is 360 .

Question 6

5 5.25 11.5 36.75 3 (a) (b) (c) (d) (e) Which of the following numbers 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 = 5 Second term = First term × 1 + 0.25 × 1 ⇒ Second term = 5 × 1 + 0.25 × 1 = 5.25 Third term = Second term × 2 + 0.25 × 4 ⇒ Third term = 5.25 × 2 + 0.25 × 4 = 11.5 similarly , we can find the all others terms . Second series :- First term = 3 Second term = First term × 1 + 0.25 × 1 ⇒ Second term = 3 × 1 + 0.25 × 1 = 3.25 Third term = Second term × 2 + 0.25 × 4 = 7.5 ⇒ Third term = 3.25 × 2 + 0.25 × 4 = 7.5 Fourth term = Third term × 3 + 0.25 × 9 ⇒ Fourth term = 7.5 × 3 + 0.25 × 9 = 24.75 So 24.75 should come in place of (c).

Question 7

adb_ac_da_cddcb_dbc_cbda

Accepted Answer

From above given series , we can see that The sequence order of above series is given as- adbcacbdabcddcbadbcacbda Hence , required answer will be cbbaa .

Question 8

– aba – cabc – dcba – bab – a

Accepted Answer

The given series is in the below pattern , we can see that The series formed is: a a b a b c a b c d d c b a c b a b a a in which the letters equi–distant from the beginning and end are the same. Hence , required answer will be abdca .

Question 9

b — b — bb — bbb — bb — b

Accepted Answer

The series is babb / bbab / bbba / bbbb. Thus, in each sequence, 'a' moves one step forward and 'b' takes its place and finally in the fourth sequence, it is eliminated.

Question 10

c _ bba _ cab _ ac _ ab _ ac

Accepted Answer

The given series is in the below pattern , we can see that cabbac / cabbac / cabbac. Hence , required answer will be acbcb .

Question 11

ba _ b _ aab _ a _ b

Accepted Answer

The order of above series is given as - baab / baab / baab Hence the required answer is abba .

Question 12

abca — bcaab — ca — bbc — a

Accepted Answer

The given series is in the below pattern , we can see that The series is abc / aabc / aabbc / aabbcc / a. Hence , required answer will be abac .

Question 13

aab – cc – daa – bbb – ccddd

Accepted Answer

The sequence order of above series is given as- a a b b c c d d/ a a a b b b c c c d d d Hence , required answer will be bdac .

Question 14

ba _ b _ aab _ a _ b

Accepted Answer

The sequence order of above series is given as- baab / baab / baab Hence , required answer will be abba .

Question 15

aa – bb – aa – abbbb – a

Accepted Answer

From above given series , Firstly , we make the pairs of four letters in given series . Now putting the values of options one by one a specific order in blank position . a a b b/ b b a a/ a a b b / b b a a. Hence , required answer will be bbaa and the correct option is A .

Question 16

c _ bba _ cab _ ac _ ab _ ac

Accepted Answer

The given series is in the below pattern , we can see that cabbac / cabbac / cabbac. Hence , required answer will be acbcb .

Question 17

Find the missing number in the series? 4, 18, ?, 100, 180, 294, 448

Accepted Answer

Take a Look at this series : 2 3 - 2 2 = 8 - 4 = 4 3 3 - 3 2 = 27 - 9 = 18 4 3 - 4 2 = 64 - 16 = 48 5 3 - 5 2 = 125 - 25 = 100 6 3 - 6 2 = 216 - 36 = 180 7 3 - 7 2 = 343 - 49 = 294 8 3 - 8 2 = 512 - 64 = 448

Question 18

1, 2, 3, 10, ?, 9802

Accepted Answer

2 = 1 2 + 1 3 = 2 2 - 1 10 = 3 2 + 1 N o w 10 2 - 1 = 99 9802 = 99 2 + 1

Question 19

Find the missing number in the following series? 3, 5, 5, 19, 7, 41, 9, ?

Accepted Answer

Fiest series : 3, 5, 7, 9 Second series : 5, 19, 41, ? Difference of Second series are 14, 22, 30 etc Next term is 41+30 i.e equal to 71

Question 20

Find out the wrong term in the series 2, 5, 10, 50, 500, 5000

Accepted Answer

Each term of the series is the product of the preceding two terms So, 5000 is wrong and it must be replaced by (500*50) = 25000

Number Series Questions