The logic followed here is:

Mirror : Reflection of light → A mirror is associated with the reflection of light.

Similarly,

Prism : Dispersion of light → A prism is associated with the dispersion of light. 

Hence, the correct answer is "Dispersion of light".

The image embedded in given figure is as shown below:

Hence, "Option 2" is the correct answer.

Note Multiple of 400 years i.e. 800, 1200, 1600, 2000 have 0 odd days.

Calculating leap year: For Finding the number of leap (1 - 99) years, divide the number of years by 4 and the quotient will be the number of leap years.

Code for weekdays:

31st October 2008

2000 years + 7 years + (1st January 2008 - 31st October 2008)

2000 year + 1 leap year  + 6 ordinary year + 305 days

0 odd days + 2 odd days + 6 odd days + 4 odd days = 1 week + 5 days 

5 is the code for Friday

Hence, Friday is the correct answer

X $ D = M * N → X is sister of D, D is son of M, M is mother of N.

By using the symbols in the table given below, we can draw the following family tree:

Clearly, M is mother of X.

Hence, ‘Mother’ is the correct answer.

The logic follows here is:

All the options have some shapes and two lines perpendicular to each other (i.e. the lines intersecting each other at 90°) except in option (1).

Option (1)

Here, two lines are intersecting each other 45°, so they are not perpendicular. Thus, it is different from other options.

Hence, the correct answer is "option 1".

Opposite surface of the open dice can be found by the below method:- 

• Alternate surfaces are opposite to each other.
• No two opposite surface are touched by side or by corners

From the positions 1, 2, 3 of Dice the opposite faces identified as :

From dice second and third:

∴ Here, the opposite side of '#' is '^'.

Hence, the correct answer is "^".

Statements:

Some silks are cottons.

All cottons are jutes.

Some jutes are not silks.

The Venn diagram as per the given statements:

Conclusions:

1. Some jutes are silks. → Follow (All cottons are jutes, and Some silks are cottons, which means some jutes are silks is definitely true)

2. All silks are jutes. → not follow (Because some jutes are not silk, which means all silks are jutes is not possible)

3. All cottons are silks. → not follow (Some silks are cottons, which means some cottons are silks)

Hence, the correct answer is "Only conclusion 1 follows".