Explanation

When 10 players shake hands with each other once, we can calculate the number of handshakes as follows:

Each player shakes hands with 9 other players. Since there are 10 players, it would seem like there are 10 × 9 = 90 handshakes. However, this counts each handshake twice (once for each player involved).

To correct for this double-counting, we divide by 2:

Number of handshakes = (10 × 9) / 2

= 90 / 2

= 45

Explanation

Let's break it down step by step:

"Three days after Saturday" would be:

Saturday, Sunday, Monday, Tuesday

So, three days after Saturday is Tuesday.

Now, "the day before the day before yesterday" is Tuesday.

"Yesterday" would be one day before today, and "the day before yesterday" would be two days before today.

So, "the day before the day before yesterday" is three days before today.

If that day is Tuesday, then today would be:

Tuesday, Wednesday, Thursday, Friday

So, today would be Friday.

Explanation

Let's work backwards:

Ali reached the bus stop at 8:40 AM.

It takes 10 minutes to reach the bus stop, so he left home at:

8:40 AM - 10 minutes = 8:30 AM

Since he left 15 minutes earlier than usual, his usual time to leave home would be:

8:30 AM + 15 minutes = 8:45 AM

Explanation

By Decoding the given Sequence in the way $A\to 1;B\to 2;....Z\to 26$

$A,D,H,M,S\to 1,4,8,13,19$

The difference between two successive numbers is increasing by '1' starting from with '3'

$1+3=4$

$4+4=8$

$8+5=13$

$13+6=19$

$19+7=26$

Hence according to decoded language the next number is '26' i.e $Z$

Explanation

Let's say the original price is 100.

After a 40% discount, the price becomes:

100 - 40 = 60

To get back to the original price (100), the price needs to be increased by:

100 - 60 = 40

The percentage increase is:

(40 / 60) * 100 = 66.67%

Explanation

The sequence consists of cubes of consecutive integers:

0³ = 0

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Explanation

Let's calculate step by step:

1/10 of 300 = 300 / 10 = 30

1/5 of 30 = 30 / 5 = 6

1/3 of 6 = 6 / 3 = 2

Explanation

The time taken to dry clothes doesn't depend on the number of clothes if they are dried together under the same conditions.

So, 20 clothes will also take 5 hours to dry.

Explanation

From the diagram let's take P as your initial position, first, you go 90-degree clockwise direction and reach Q, 

Then from Q you goes 180 degree anticlockwise and reaches R. 

From R you go again anticlockwise direction and reach S, Which is the final position and you facing is facing South-East 

Explanation

Given the logic:

1. 72496 is to 1315:

    7 + 2 + 4 = 13

    9 + 6 = 15

2. 62134 is to 97:

    6 + 2 + 1 = 9

    3 + 4 = 7

3. 85316 is to 167:

    8 + 5 + 3 = 16

    1 + 6 = 7

Applying the same logic to 28439:

2 + 8 + 4 = 14

3 + 9 = 12

So, 28439 is to 1412.