Explanation

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours.

So, in a day, the hands point in the opposite directions 22 times.

Explanation

The perimeter is the total sum of all sides of a closed figure or surface.

It typically used for shapes like polygons (e.g., squares, triangles).

Explanation

1/4 + ? = 3/4

Subtract 1/4 from both sides:

? = 3/4 − 1/4 = 2/4 = 1/2

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ND28-1-2023

Explanation

The pattern is reversing the digits:

PEACH → HCAEP

26541 → 14562

Explanation

Explanation

An acre is a unit of area, just like an ounce is a unit of weight

Explanation

Number of boys present: 50% of 100 = 0.5 x 100 = 50 boys

Number of girls present: 40% of 900 = 0.4 x 900 = 360 girls

Total students present = Boys present + Girls present

= 50 + 360

= 410

Now, let's find the percentage of students present:

Total students = Boys + Girls = 100 + 900 = 1000

Percentage of students present = (Total students present / Total students) x 100

= (410 / 1000) x 100

= 41%

Explanation

91 is not a prime number because it is divisible by 7 and 13 (91 = 7 × 13).

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Explanation

The court is 78 feet (23.77 meters) long. Its width is 27 feet (8.23 meters) for singles matches and 36 feet (10.97 meters) for doubles matches.

The service line is 21 feet (6.40 meters) from the net.

Explanation

Given: a/b = 3/5 ... (1)

When 2 is added to both numbers, the ratio becomes 2/3, so we can write:

(a+2)/(b+2) = 2/3 ... (2)

Cross-multiplying (2), we get:

3(a+2) = 2(b+2)

Expanding and simplifying, we get:

3a + 6 = 2b + 4

Subtracting 6 from both sides gives:

3a = 2b - 2

Now, substituting (1) in the above equation, we get:

3(3/5)b = 2b - 2

Multiplying both sides by 5, we get:

9b = 10b - 10

Subtracting 10b from both sides gives:

-b = -10

Dividing both sides by -1, we get:

b = 10

So, the correct answer is: 10