1) mnompn ⇒ mopn/moon/mppn/mopn

 2) mnpmon ⇒ mopn/mopn/mopn/mopn (Repeated pattern of “mopn”)

 3) mpnmop ⇒ mopp/monn/mopn/mopp

 4) mnpmon ⇒ mopp/monn/mopn/mopp

 Hence, “mnpmon” are set of letter which will complete the series.

Here pattern followed is shown below,

→ c (position of C = 3 then 3 × 2 = 6)

→ c + 2 = e (position of e = 5 then 5 × 2 = 10)

→ e + 2 = g (position of g = 7 then 7 × 2 = 14)

→ g + 2 = i (position of i = 9 then 9 × 2 = 18)

→ i + 2 = k (position of k = 11 then 11 × 2 = 22)

Therefore, next term in series will be “k/22”.

Pattern followed in given series is,

⇒ BDFH, IKMO, PRTV are term which have alternate letter in alphabetical order.

⇒ First letter of next term is next letter of previous term last letter.

As last letter of 3 ^rd term is V. Therefore first letter of next term will be ‘W’.

Hence, Missing term in series will be “WYAC”

Here pattern followed is

→ 16 ² + 16/2 = 256 + 8 = 264

→ 18 ² + 18/2 = 324 + 9 = 333

→ 20 ² + 20/2 = 400 + 10 = 410

→ 22 ² + 22/2 = 484 + 11 = 495

→ 24 ² + 24/2 = 576 + 12 = 588

Hence, missing term will be “588”

Average age of A and C is 35 yr

Then, Total age of A and C is = 35 × 2 = 70 yr

Average age of B and D is 40 yr

Then, Total age of B and D is = 40 × 2 = 80 yr

Total age of A, B, C and D = 80 + 70 =150 yr

Average age of B, C and D = 40 yr

Total age of B, C, D = 40 × 3 = 120 yr

Age of A = 150 – 120 = 30 yr

The sum of the ages of A and D is equal to that of B and C.

⇒ A + D = B + C

⇒ 30 + D = 120 – D

⇒ 2D = 90

⇒ D = 45 yr

Age of B = 80 – 45 = 35 yr.

Age of C = 70 – 30 = 40 yr.

Hence, age of A, B, C and D are 30, 35, 40, 45 years respectively.

Seven boys: A, B, C, D, E, F and G.

1) C is standing between A and G.

G C A

2) G is standing between C and E.

E G C A

3) F is third left of G and D is immediate right of A.

F _ E G C A D

4) B is standing to the left of E.

F B E G C A D

Therefore, G is sitting exactly in the middle.

Hence number 4 represent politician from cricketer player who are corrupt.

Drawing a Venn diagram based on information given in the statement,

Conclusions:

 I. All cats are trains. ⇒ True

II. All trains are cars. ⇒ False

 Hence, the only conclusion I follow.

Explanation:

1) 65, 57, 67, 55, 69, 31 ⇒ O, N, L, L, N, E

2) 77, 76, 67, 57, 23, 24 ⇒ O, N, L, N, I, E

3) 96, 88, 30, 86, 76, 31 ⇒ O, N, I, L, N, E

4) 58, 69, 55, 23, 57, 00 ⇒ O, N, L, I, N, E

Hence, “58, 69, 55, 23, 57, 00” are set of number which represent word “ONLINE”

Here on column wise operation,

In first column,

⇒ (25 – 16) ÷ (√25 - √16) = 9 ÷ 1 = 9

In second column,

⇒ (100 – 36) ÷ (√100 – √36) = 64 ÷ 4 = 16

In third column,

⇒ (121 – 81) ÷ (√121 – √81) = 40 ÷ 2 = 20

Hence, 20 is the missing term.