Explanation

Teaching by small steps and frequent short assignments is a useful technique for:

• Learning disabled students: Breaking down complex tasks into smaller, manageable steps helps students with learning disabilities to understand and complete assignments.
• Slow learners: Smaller steps and frequent assignments help slow learners to build confidence and momentum in their learning.
• Educationally backward children: This technique helps children who are struggling academically to catch up with their peers by providing a structured and supportive learning environment.

Explanation

The word "TIME" has 4 distinct letters. The number of three-letter words that can be formed using these letters is given by permutations, as the order matters. This is calculated as:

P(4,3)= 4 × 3 × 2= 24

So, 24 different three-letter words can be formed using the letters of "TIME."

Explanation

Let's say the person's usual travel time to his office is x minutes.

Since he is walking at 5/6 of his usual speed, his new speed is 5/6 of his usual speed.

The time taken to cover the same distance at this new speed is 6/5 of his usual time (since speed and time are inversely proportional).

So, the new time taken = (6/5)x

Since he is 40 minutes late, the new time taken is 40 minutes more than his usual time:

(6/5)x = x + 40

Simplifying the equation:

(1/5)x = 40

x = 200 minutes

Converting x to hours and minutes:

x = 3 hours 20 minutes

Explanation

True Discount (TD) = Rs. 189

Rate (R) = 16% per annum

Time (T) = 9 months = 3/4 year

Using the formula:

TD = (P x R x T) / 100

where P is the amount of the bill, we can rearrange the formula to solve for P:

P = TD x 100 / (R x T)

= 189 x 100 / (16 x 3/4)

= 189 x 100 / 12

= 1764

So, the amount of the bill is Rs. 1764.

Explanation

C.P. (Cost Price) of each share = Rs. 25 + (2% of 25) = Rs. 25 + 0.50 = Rs. 25.50

And therefore, the Number of shares = Total amount / C.P. of each share = Rs. 12750 / Rs. 25.50 = 500

Explanation

We can write this as:

(x/100) × 200 = (y/100) × 250

Simplifying the equation:

2x = 2.5y

Dividing both sides by 2:

x = 1.25y

Now, dividing both sides by y:

x/y = 1.25

x/y = 5/4

So, y:x = 4:5

Explanation

Chunking is a memorization technique that involves breaking down information into smaller, more manageable units (chunks) to help encode and retain it in memory.

This technique is often used to remember phone numbers, lists, and other sequences of information.

Explanation

To find the size of the largest square slabs, we need to find the greatest common divisor (GCD) of the length and breadth of the room.

First, let's convert the length and breadth to centimeters:

Length = 5 meters 44 cm = 544 cm

Breadth = 3 meters 74 cm = 374 cm

Now, we find the GCD of 544 and 374:

GCD(544, 374) = 34

So, the size of the largest square slabs that can be paved on the floor is 34 cm x 34 cm.

Explanation

A leap year has 366 days, which means 52 full weeks (364 days) and 2 extra days. The extra days can be:

• Sunday and Monday
• Monday and Tuesday, etc.

For a leap year to have 53 Sundays and 52 Mondays, the two extra days must be Sunday and Monday, which happens in 2 out of 7 possible combinations.

Hence, the probability is 2/7.

Explanation

6(A's Capital) = 8(B's Capital) = 10(C's Capital)

We can write this as:

A's Capital = x

B's Capital = x × (6/8) = 0.75x

C's Capital = x × (6/10) = 0.6x

Now, we can write the ratio of their capitals as:

A's Capital : B's Capital : C's Capital = x : 0.75x : 0.6x

Divide each term by x:

A's Capital : B's Capital : C's Capital = 1 : 0.75 : 0.6

Multiply each term by 20 (the least common multiple of 1, 0.75, and 0.6) to eliminate decimals:

A's Capital : B's Capital : C's Capital = 20 : 15 : 12

So, the ratio of their capitals is:

20 : 15 : 12