Consider the numerical value of letters as per the English alphabetical series.

The pattern followed here is:

Hence, the correct answer is UTYFYT.

The logic behind the alphabets is, the reversal of E and U in the consecutive terms i.e. E__U, U__E, E__U,…

The sequence of numbers is:

11 + 12 = 23

23 + 12 = 35

35 + 12 = 47

47 + 12 = 59

Hence, next number should be 59.

Hence, the next term will be E59U.

The pattern is

2 + 2 = 4 and 22 × 4 = 88

Similarly

3 + 7 = 10 and 37 × 10 = 370

Cost price = 10 Quantity

Selling price = 15 Quantity

Qty Cost price – Qty Selling price = 10 – 15 = -5(Loss)

Dist is common in all the words, so we will start after that to arrange the words as per English dictionary

The first word will be Distance, distilled, distort, distribution and disturb

So, the last word is Disturb

As per the given information:

He will be paternal grandfather of vani.

Logic:(x – x³+1)

Except option (C) all other follows same logic as:

6 – 6³+1 -> 6 – 217

5 – 5³+1 -> 5 – 126

4 – 4³+1 -> 4 – 65 (≠ 63)

3 – 3³+1 -> 3 – 28

Count the number of odd days-

1999: March April May June July Aug Sep Oct Nov Dec

Odd days : 4 2 3 2 3 3 2 3 2 3

Year : 2000 2001 2002 2003 2004 2005 2006

Odd days : 2 1 1 1 2 1 1

2007: Jan Feb

Odd days : 3 2

Total number of odd days= 41, i.e., 5 weeks 6 days.

So, the day on February 2, 2007, is (Saturday +6) = Friday

There are 18 triangles in all, i.e.,

ABG,ADG,DGE,BGE,BCH,BEH,EFH,CFH,ADE,ABE,ABD,
BDE,BCE,CEF,BCF,BEF,AEC and BDF.

As per the information given in the question:

Required distance AE = AD + DE

= 20 + 12 (AD = BC = 20)

= 32m in east direction.

Hence, the correct answer is 32 m east.