Explanation

Net north = 10 − 6 = 4 km

East = 3 km

Distance from starting point = √(4² + 3²) = √25 = 5 km

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Explanation

Let brother's present age = x years

Then man's present age = x + 5 years

After 4 years:

Brother's age = x + 4

Man's age = x + 5 + 4 = x + 9

Sum of ages after 4 years = 45

So, (x + 4) + (x + 9) = 45

2x + 13 = 45

2x = 45 - 13

2x = 32

x = 16

Brother's present age = 16 years

Man's present age = x + 5 = 16 + 5 = 21 years

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Explanation

Day 1 = 5 GB

Day 2 = 10 GB 

Day 3 = 15 GB

Day 4 = 20 GB

The data increases by 5 GB every day.

This is an arithmetic series.

First term a = 5

Common difference d = 5

Number of days n = 15

Formula for sum = n/2 _ [2_a + (n-1)_d]

Put values:

Sum = 15/2 _ [2_5 + (15-1)_5]

Sum = 15/2 _ [10 + 70]

Sum = 15/2 _ 80

Sum = 15 * 40

Sum = 600

Total data in 15 days = 600 GB

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

Let daughter's present age = x  

Then mother's present age = 4x

After 5 years:  

Daughter's age = x + 5  

Mother's age = 4x + 5 

Sum after 5 years = 60  

So, (x + 5) + (4x + 5) = 60  

x + 5 + 4x + 5 = 60  

5x + 10 = 60  

5x = 60 - 10  

5x = 50  

x = 10  

Daughter's present age = 10 years

Last verified on 11-07-2026

Explanation

25*25 = 625

Last verified on 09-07-2026

Explanation

When 39 is divided by 4:

• 4 × 9 = 36, remainder = 39 − 36 = 3
• When 39 is divided by 9:
• 9 × 4 = 36, remainder = 39 − 36 = 3

So in both cases remainder is 3, which satisfies the condition.

Last verified on 24-06-2026

Explanation

Son's current age = 12 years  

Father is 30 years older than son

Father's current age = 12 + 30 = 42 years

5 years from now:  

Father's age = 42 + 5 = 47 years  

Son's age = 12 + 5 = 17 years

Check: 47 - 17 = 30 years difference.

Last verified on 10-06-2026

Explanation

Explanation

Let the numbers be x and y, with x > y  

x + y = 52  

x - y = 8  

Add both equations:  

2x = 60 → x = 30  

Then y = 52 - 30 = 22  

Check: 30 + 22 = 52, 30 - 22 = 8  

Last verified on 12-05-2026