The correct answer is option 1 i.e Only conclusions II and III follow.

The least possible Venn Diagram for the given statements is drawn below:

Conclusions:

I. Some jugs are pens: False (All jugs are bottles and no bottle is a pen, which implies No jug is a Pen).

II. No jug is pen: True (All jugs are bottles and no bottle is a pen, which implies No jug is a Pen).

III. Some bottles are jugs: True (As, All jugs are part of bottles, so some bottles are jugs is true).

Hence, the correct answer is Only conclusions II and III follow.

The correct answer is option 2 i.e. E C F P R C X.

Given: P C R _ X P _ R _ X _ C _ G X P _ R H _

Option (2) E C F P R C X → P C R E X P C R F X P C R G X P C R H X

Thus, it follows the pattern of P C R E X / P C R F X / P C R G X / P C R H X. Fourth letter in each set is changing to its next letter.

Hence, the correct answer is E C F P R C X.

The correct answer is Option 4 i.e. 4

Logic: Each phase involves a 90^o clockwise direction rotation of the huge "T"-shaped member. The two little symbols switch places, and the one that reaches the top is replaced with a new one.

So, in this way option 4 is correct answer.

Hence, the correct answer is option 4.

The correct answer is option 2 i.e. B.

The logic used here is: 

1. Prime numbers are used consecutively starting from 7.

2. Square and the inverted triangle are used alternatively.

So, in the next figure, 17 will be used with a square shape.

Hence, the correct answer is B.

The correct answer is option 4 i.e. 143.

Given series: 63, 79, 99, 119, ?

The logic used here is:

63 = 8² - 1

79 = 9² - 2

99 = 10² - 1

119 = 11² - 2

143 = 12² - 1

The next term in the series is 143.

Hence, the correct answer is 143.

The correct answer is Option 4 i.e. D.

The correct answer is option 2 i.e.

The correct mirror image is:

Since the mirror is placed right to the question figure, the right-hand side of the original image will be now the left-hand side of the mirror image.

Hence, the correct answer is option 2.

The correct answer is option 2 i.e. b.

The complete figure would be like this

Hence, the correct answer is b.

The correct answer is option 2 i.e.

The figure in option 2 will complete the pattern given in the question figure.

Hence, option 2 is the correct answer.

The correct answer is option 4

The figure in Option 4 will complete the given pattern, as shown below:

Hence, the correct answer is option 4.