Explanation

A is the mother of B.

B is married to C.

C is the father of D, so B is D's mother.

Therefore, A, being B's mother, is D's grandmother.

Last verified on 12-07-2026

Explanation

• The formula for probability is: Favorable Outcomes ÷ Total Outcomes.
• Probability measures the chance of an event occurring.
• Its value always lies between 0 and 1.
• 0 means the event is impossible, while 1 means it is certain.
• It is widely used in mathematics, statistics, and everyday decision-making.

Last verified on 12-07-2026

Explanation

• A ratio is a comparison of two or more quantities of the same kind.
• Formula:
• Ratio = Quantity 1 : Quantity 2
• Example:
• If there are 2 boys and 3 girls, the ratio of boys to girls is 2 : 3.

Explanation

In set theory:

Union of two sets A and B is written as: A ∪ B

It means all elements that are in A or in B or in both.

Intersection of two sets A and B is written as: A ∩ B  

It means all elements that are in both A and B.

Last verified on 12-07-2026

Explanation

• The 1857 War of Independence started from Meerut on 10 May 1857.
• It began as a sepoy (soldier) mutiny against the British East India Company.
• It is also known as the Indian Rebellion of 1857 or the First War of Independence.
• Major Centers: Delhi, Kanpur, Lucknow, Jhansi, Bareilly
• Ended: 1858, after the British suppressed the revolt.

Last verified on 03-04-2026

Explanation

• War Began: 19 April 1775
• Declaration of Independence: 4 July 1776
• War Ended: 3 September 1783
• Treaty: Treaty of Paris (1783)
• Opponents: Great Britain vs Thirteen (13) American Colonies

Last verified on 12-07-2026

Explanation

Boys = 40% of 60 = 24

Absent boys = 25% of 24 = 6

Present boys = 24 − 6 = 18

Last verified on 12-07-2026

Explanation

U is the son of W → W is U's parent.

T is the son of U → T is the child of W's son.

Therefore, T is W's grandson.

The information about V and X does not affect the relationship between T and W.

Last verified on 12-07-2026

Explanation

Explanation

Look at the pattern:

1 + 2 = 5  

1 square + 2 square = 1 + 4 = 5

2 + 3 = 13  

2 square + 3 square = 4 + 9 = 13

3 + 4 = 25  

3 square + 4 square = 9 + 16 = 25

So the rule is: a + b = a square + b square

Now find 4 + 5  

4 square + 5 square = 16 + 25 = 41

Last verified on 12-07-2026