Explanation

The wire used for fuse making has high resistivity and low melting temperature.

These properties ensure that the fuse melts quickly and safely breaks the circuit when excessive current flows through it.

Explanation

We need to choose a 4-student committee from a panel of 12 students. This is a combination problem, as the order of selection doesn't matter. We can use the combination formula:

C(n, k) = n! / (k!(n-k)!)

where n is the total number of students (12), k is the number of students to be chosen (4), and ! denotes the factorial function.

C(12, 4) = 12! / (4!(12-4)!)

= 12! / (4!8!)

= (12 × 11 × 10 × 9) / (4 × 3 × 2 × 1)

= 495

So, there are 495 different ways to choose a 4-student committee from a panel of 12 students.

Explanation

Explanation

The man sells the watch for Rs. 144 and loses 10%, which means the cost price (CP) is more than the selling price (SP). Let's find the CP:

CP = SP / (1 - Loss%)

= 144 / (1 - 0.10)

= 144 / 0.90

= Rs. 160

Now, the man wants to gain 15% on the CP. Let's find the new selling price (SP'):

SP' = CP x (1 + Gain%)

= 160 x (1 + 0.15)

= 160 x 1.15

= Rs. 184

So, the correct answer is: Rs. 184

Explanation

At 11:00, the hour hand (short hand) is at 11 and the minute hand (long hand) is at 12.

Since there are 12 hours on a clock, each hour mark represents 30 degrees (360 degrees / 12 hours).

The hour hand is at the 11th hour mark, which is 30 degrees away from the 12th hour mark (where the minute hand is).

So, the angle between the two hands of the clock at 11:00 is 30 degrees.

The correct answer is: 30°

Explanation

The average of 29 scores is 50, so the total sum of all scores is:

29 x 50 = 1450

The average of the first 14 scores is 52, so the total sum of the first 14 scores is:

14 x 52 = 728

The average of the last 14 scores is 49, so the total sum of the last 14 scores is:

14 x 49 = 686

Now, let's add the sum of the first 14 scores and the last 14 scores:

728 + 686 = 1414

Since the total sum of all scores is 1450, the 15th score can be found by subtracting the sum of the first 14 and last 14 scores from the total sum:

1450 - 1414 = 36

So, the correct answer is: 36

Explanation

(20 - X) / 5 = 4

Multiply both sides by 5:

20 - X = 20

Subtract 20 from both sides:

-X = 0

Multiply both sides by -1:

X = 0

So, the value of X is 0.

Explanation

Since x varies inversely with y, we can write the equation:

x = k/y

where k is a constant.

Given that x = 4 when y = 16, we can find the value of k:

4 = k/16

k = 64

Now, we can find the value of x when y = 8:

x = 64/8

x = 8

So, the correct answer is: 8

Explanation

To determine how many items the machine will produce in 10 minutes:

1. It takes 1/3 minute to produce one item.
2. In 1 minute, the machine produces 3 items (since 1 ÷ 1/3 = 3).
3. In 10 minutes, the machine will produce 3 × 10 = 30 items.

So, the machine will produce 30 items in 10 minutes.

Explanation

Muhammad bin Qasim, an Arab general, attacked Raja Dahir, the last Hindu king of Sindh, in 712 CE.

At that time the age of Muhammad bin Qasim was 17 years.

Raja Dahir was defeated and killed in the Battle of Aror.