Explanation

Given: Father's age = 5 times daughter's age = 5x years

Sum of ages = 48 years

So, x + 5x = 48

6x = 48

x = 48 / 6

x = 8

Daughter's current age = 8 years

Last verified on 03-08-2026

Explanation

From the given information:

1. A reaches before B → A < B

2. B reaches before D → B < D  

3. C reaches before D → C < D

Combine 1 and 2: A < B < D  

Combine with 3: C < D

So D is after both B and C. That means D cannot be last because someone is definitely behind D? Wait no — "last" means finishes after everyone.

From A < B < D, D is after A and B.  

From C < D, D is after C too.

So D finishes after A, B, and C.  

Therefore D certainly finishes last.

Last verified on 03-09-2026

Explanation

No honest person is corrupt means no person can be both honest and corrupt.

Some politicians are corrupt means at least some politicians are corrupt.

Therefore, those corrupt politicians cannot be honest.

Hence, some politicians are not honest logically follows.

Last verified on 04-09-2026

Explanation

The cosine function is defined for every real value of θ.

Therefore, its domain is all real numbers.

Last verified on 04-09-2026

Explanation

100% means the whole amount.

So, 100% of 200 = (100/100) × 200 = 200.

Last verified on 04-09-2026

Explanation

When we divide numbers with same base we subtract the powers. 

First 2^40 / 2^19 gives 2^(40-19) = 2^21. 

Then 2^21 / 2^13 gives 2^(21-13) = 2^8.

Last verified on 04-09-2026

Explanation

=SUM(A1:A3) means add A1 + A2 + A3

A1 = 2  

A2 = 4  

A3 = 6  

2 + 4 + 6 = 12

Last verified on 04-09-2026

Explanation

• UNO Headquarters: Manhattan, New York City.

Additional information:

• UNO Stands for: United Nations Organization
• Founded: 24 October 1945 (after World War II 1939–1945)
• Member States: 193 countries
• Official Languages (6): Arabic, Chinese, English, French, Russian, Spanish
• Motto: “It’s your world!” (commonly used awareness slogan)
• Pakistan Joined UNO: 30 September 1947

Last verified on 10-06-2026

Explanation

Mode = the number that appears most often in the data.

Given data: 40, 45, 45, 50, 60

Count:  

40 appears 1 time  

45 appears 2 times  

50 appears 1 time  

60 appears 1 time  

45 appears the most.

Last verified on 03-09-2026

Explanation

3+1 = 4

4+3 = 7

7+1 = 8

8+3 = 11

11+1 = 12

12+3 = 15

Last verified on 03-09-2026