Explanation

Using the concept of work and rate, we can analyze the given information:

A+B = 1/18 (work done per day)

A+C = 1/12

B+C = 1/9

By adding the first two equations, we get:

(A+B) + (A+C) = 1/18 + 1/12

2A + (B+C) = 1/6

2A + 1/9 = 1/6

2A = 1/6 - 1/9

2A = 1/18

A = 1/36 (work done by A per day)

Now, we can find B's work per day:

B = 1/18 - 1/36 = 1/24

So, B alone can do the work in 24 days.

Explanation

Step 1: Multiply the number of students in each class by their pass percentage

- Class 1: 10 students × 20% = 2 passed  

- Class 2: 20 students × 30% = 6 passed  

- Class 3: 30 students × 60% = 18 passed  

- Class 4: 40 students × 100% = 40 passed  

Step 2: Add total passed students and total students

- Total passed = 2 + 6 + 18 + 40 = 66  

- Total students = 10 + 20 + 30 + 40 = 100

Step 3: Calculate the overall percentage

Pass % = (66 / 100) × 100 = 66%

Explanation

Basic hourly rate = 2000 ÷ 40 = Rs. 50/hr  

Overtime rate = 50 + 25% of 50 = 50 + 12.5 = Rs. 62.5/hr  

Let overtime hours = x

Total wage = Rs. 2000 + 62.5x = 2500  

62.5x = 500 → x = 8 hours  

Total hours = 40 + 8 = 48 hours

Explanation

The coded word for BROKER is RROBEK.

The coding scheme works by splitting the original word into two halves and reversing the order of the letters in each half. 

• SELFLESS has 8 letters.
• It is split into two halves: SELF and LESS.
• Each half is reversed: FLES and SSEL.
• The reversed halves are concatenated in reverse order (second half first, then the first half): SSEFLES.
• The final 'S' from the original word seems to be a minor variation or a typo in the user's provided example, as the pattern perfectly yields SSEFLES. 

Applying this pattern to BROKER (6 letters):

• Split into two halves: BRO and KER.
• Reverse each half: ORB and REK.
• Concatenate the reversed halves in reverse order (second half first, then the first half): REKORB. 

Explanation

Simplify 4/18 = 2/9  

Now: 2/9 + 8/9 = 10/9 or 1 1/9

Explanation

2(13 + 10) − 3(14 − 5)  

= 2(23) − 3(9)  

= 46 − 27  

= 19

Explanation

15% of 1000 =  

(15 ÷ 100) × 1000 = 0.15 × 1000 = 150

Explanation

(4 - 4) × 20 + 5 = 0 × 20 + 5 = 0 + 5 = 5  

Explanation

Multiples of 15 → 15, 30, 45, 60 … The 4th multiple is 60

Explanation

a^4 x a^8 x a^3 =?

a^4 has an exponent of 4.

a^8 has an exponent of 8.

a^3 has an exponent of 3.

Add the exponents together: 4 + 8 + 3 = 15.

Therefore, a^4 x a^8 x a^3 simplifies to a^15.