This means that for every 7 boys, there are 3 girls. So, the total number of students must be a multiple of 7+3 = 10.

• Option A (21): Not a multiple of 10.

• Option B (37): Not a multiple of 10.

• Option C (50): Is a multiple of 10 (5 * 10).

• Option D (73): Not a multiple of 10.

Therefore, the only acceptable value for the total number of students is (C) 50. 

iF we draw a line PQ on the polygon given in option A, we clearly see that line PQ is completely outside of polygon. Hence it is not convex.

C) (i) is grammatically correct and (ii) is ambiguous

• Sentence (ii) is ambiguous because the pronoun "he" could refer to either Babu or Danish. It's unclear whether Babu enjoys playing chess or if Danish does.

• A doctor performs surgery.

• A writer creates a book.

Both pairs share a similar relationship: the first is a professional who performs an action related to the second.

Cylinder M

• Height (h) = 1 cm

• Circumference = 6 cm

• Radius (r) = Circumference / (2 * 𝜋) = 6 / (2 * 𝜋) = 3/ 𝜋 

Volume of cylinder (Vm) = 𝜋 * r^2 * h = 9 /𝜋 

Cube N

• The largest square that can be cut from a 6 cm x 1 cm sheet has a side of 1 cm.

• The cube will have a side of 1 cm.

Volume of cube (Vn) = side^3 = 1 

Ratio of volumes

Vm / Vn = 9 /𝜋 

So, the correct answer is (C) 

Find the cost of item Q

• We know the ratio of the cost of item P to the cost of item Q is 3:4.

•  the cost of item Q = ( 5400 x 4 )/ 3 = 7200.

Calculate the Selling Price of item Q

• We know the profit percentage for item Q is 25%.

• Profit = (Profit Percentage / 100) * Cost = (25/100) * 7200 = Rs. 1800

• Selling Price = Cost + Profit = 7200 + 1800 = Rs. 9000

Calculate the discount on item Q

• Discount = Marked Price - Selling Price = 10000 - 9000 = Rs. 1000

Calculate the discount percentage on item Q

• Discount Percentage = (Discount / Marked Price) * 100 = (1000 / 10000) * 100 = 10%

Answer is (C) 10.

Instead of directly calculating the probability of at least two chocolates being identical, it's easier to calculate the probability of no chocolates being identical and then subtract it from 1.

Probability of no chocolates being identical

For the first bag, we can pick any chocolate. For the second bag, we can pick any of the remaining 9 different chocolates. For the third bag, we can pick any of the remaining 8 different chocolates. And so on...

So, the total number of ways to pick chocolates with no repetitions is 10 * 9 * 8 * 7 * 6. The total number of ways to pick chocolates without any restrictions is 10 * 10 * 10 * 10 * 10.

Therefore, the probability of no chocolates being identical is (10 * 9 * 8 * 7 * 6) / (10 * 10 * 10 * 10 * 10) = 0.3024.

Probability of at least two chocolates being identical

P(at least two chocolates identical) = 1 - P(no chocolates identical) = 1 - 0.3024 = 0.6976.

So, the correct answer is (C) 0.6976.

The passage states that anti-obesity measures (AOM) like displaying calorie information in menus do not address the root causes of obesity, which are poverty and income inequality.

Answer: D) AOM are addressing the problem superficially

This option accurately reflects the idea that the proposed measures are not tackling the underlying issues causing obesity