Explanation

HCF of 20 and 6 = 2.

Divide both by 2: 20 ÷ 2 : 6 ÷ 2 = 10 : 3.

Last verified 02-09-2026

Explanation

|3| = 3, |−3| = 3, and 2² = 4.

|−3²| = |−9| = 9 → 3 − 3 − 4 − 9 = −13.

Last verified on 02-09-2026

Explanation

A comes before B.

B comes before D, and C also comes before D.

Therefore, D must be the last to reach.

Last verified on 02-09-2026

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