The least possible Venn - diagram is:

I. All car are buses – It is not a definite case, hence false.

II. Some buses are truck –It is a definite case, hence true.

III. All trucks are buses – It is not a definite case, hence false.

So, conclusion II follows

Hence, option A is the correct answer.

Let, the product B = x

Product A = x+2

According to question -

(Product A) + 2(product B) = 17

(x+2) + 2(x) = 17

x + 2 + 2x = 17

3x + 2 = 17

3x = 15

x = 5

So, the price of product B is ₹5.

Here the pattern is:

Hence, option C is the correct answer.

• Methane is commonly called as Marsh Gas.

• Methane is the simplest hydrocarbon consisting of one carbon atom and four hydrogen atoms.

• Its chemical formula is CH₄.

• The gas is produced in a condition that allows anaerobic digestion and fermentation of any plant/animal material.

• John Maynard Keynes was a British economist.

• His ideas changed the theory and practice of macroeconomics and the economic policies of governments.

• Keynes' Law states that demand creates its own supply.

• Jupiter is the fifth planet from the Sun . It comes between Mars and Saturn.

• It is the largest planet in the Solar System.

• The planet is primarily composed of hydrogen with a quarter of its mass helium.

Given, time taken by a boat to travel 13 km downstream is the same as time taken by it to travel 7 km upstream.

Let, speed of boat in still water = x km/hr

Speed of stream = 3 km/hr

Speed of boat during downstream = (x+3) km/hr

Speed of boat during upstream = (x-3) km/hr

A.T.Q.:

13/(x+3) = 7/(x-3)
⇒ 13(x-3) = 7(x+3)
⇒ 13x - 39 = 7x + 21
⇒ 6x = 60
⇒ x = 10km/hr

Hence, time taken to travel a distance of 44.8 km in still water:

= (Distance)/Speed = 44.8/10 = 4.48 = hr.

Given AB = 7 cm, BP = 4.2 cm and PD = 2.8 cm

We know that PB × PA = PD × PC

⇒ 4.2 × 11.2 = 2.8 × (x + 2.8)
⇒ x = 14 cm

Hence, the length of CD = 14 cm

Given x35624 is divisible by 11.

Condition of divisibility by 11 is given by:

(Sum of digits at odd place)- (Sum of digits at even place) = 0 or any multiple of 11

⇒ (4+6+3) - (2+5+x) = 11k, where k is any non-negative integer.

⇒ 13-7-x =11k, where k is any non-negative integer.

⇒ 6 - x = 11k, where k is any non-negative integer.

For x = 6, 6 – x = 11k where k = 0

Hence x = 6.

Now, 1257y4 is divisible by 72.

We know that if a number is divisible by 72 it will also divisible by 8 and 9.

Condition of divisibility by 9 is given by:

Sum of all digits must be divisible by 9.

⇒ 1 + 2 + 5 + 7 + y + 4 = 19 + y must be divisible by 9.

As y is a digit, so put y = 8 (By inspection)

⇒ 19 + y = 19 + 8 = 27 which is divisible by 9.

Hence, 5x – 2y = 5×6 - 2×8 = 30 – 16 = 14

Let’s understand the meaning of the given words:

Obsolete: No longer in use

E.g.: The rate at which technology becomes obsolete continues to increase dramatically.

Recent: Of the immediate past or just before the present time

E.g.: It was a recent picture, and she was smiling, her dark eyes dancing.

Remote: Located far away spatially

Outdated: No longer valid or fashionable

Rigid: Incapable of compromise or flexibility

Hence, option A is the correct answer

The idiom ‘the bee’s knees’ means that it is of excellent or very high quality. Hence, option D is the correct answer.

Sentence A, B and C cannot be the opening sentence of the sequence. Sentence C will be the opening sentence as it introduces the subject i.e. children are tempted towards junk food. Sentence A which explains the reason for the temptation explained in sentence C, will follow it. So, CA becomes a mandatory pair which has been given in option D. Hence, option D is the correct answer.