252

1x1x2 = 2, 2x2x3 = 12, 3x3x4 = 36, 4x4x5 = 80, 5x5x6 = 150, 6x6x7 = 252

84 Yrs.

14 yrs of adolescence + 7 yrs till growing facial hair + 12 yrs till marriage + 5 yrs till birth of child + 42 yrs (daughter’s lifespan) + 4 yrs till death => 14 + 7 + 12 + 5 + 42 + 4 = 84.

A = 1, B = 2, C = 3. D = 4, E = 5, F = 6, G = 7 and H = 9.
ABCDEFGH * H = 12345679 * 9 = 111111111

Get a measuring cup that can measure one litre or any container (cup / bottle etc.) having capacity of 1 litre, and take the required quantity of liquid from any of the gallons!  🙂

I mean to say that the question is faulty / does not make sense because it lacks the crucial clause that no additional containers / measuring devices can be used.

With the added clause:

1. Fill Z (3-litre) from X. Now, Z contains 3 Litres and X has 4 Litres.
2. Fill Y from Z. Since Y has capacity of 5 Litres and is already having 3, it can take only 2 more, thus leaving 1 Litre in Z.

Sum of terms of arithmetic progression. (First Term = 1, consistent difference = 2)

For 75 terms of the odd number sequence, the sum will be 5625.

98

Logic: A [+] B = A x (A + B – 1) where [+] stands for the ‘+’ symbol in the patterns given in the question.

2 [+] 3 = 2 x (2 + 3 – 1) = 2 x 4 = 8
5 [+] 8 = 5 x (5 + 8 – 1) = 5 x 12 = 60
4 [+] 5 = 4 x (4 + 5 – 1) = 4 x 8 = 32 and so on.

Not just 2030, but EVERY YEAR except a leap year, New Year day would be on the day of week that immediately precedes the day on which Christmas falls. e.g. in 2025, New Year will be on Wednesday and Christmas on Thursday.  In leap years, there will be a gap of two days. e.g. in 2024 (this year), New Year was on Monday whereas Christmas is on Wednesday. The ‘one week between Christmas and New Year’ applies to consecutive years. e.g. Christmas day of 2024 is on Wednesday and subsequent New Year day (2025) is also on Wednesday.

Horse had 5 boxes and camel had 7.

29

The number inside each triangle is formed as A x B – C^2 where A, B and C are the numbers at the corners of the triangle, C being the smallest of the three, as:

7 x 5 – 3^2 = 26
3 x 2 – 1^2 = 5
8 x 6 – 2^2 = 44

By the same logic:

9 x 5 – 4^2= 29