Explanation

Explanation

O(P) = O(Q) means the number of elements in P is equal to the number of elements in Q.

This implies that P and Q have the same cardinality, which can be represented as P ~ Q (P is equivalent to Q).

Explanation

1/3 × 3/5 = 1 × 3/ 3 × 5 = 3/15 = 1/5

Explanation

Let's find the square numbers between 63 and 143:

8² = 64 (since 8² = 64 > 63)

9² = 81

10² = 100

11² = 121

The next square number would be 12² = 144, which is greater than 143, so we stop at 11².

Now, let's calculate the sum:

64 + 81 + 100 + 121 = 366

Explanation

A surd is an irrational number or expression containing a square root, cube root, etc., that can't be simplified to a rational number.

Example: √2, ³√5 are surds because they involve radical signs.

Explanation

 0.00006 is the correct answer.

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Explanation

1 pound is equal to 16 ounces

or

1 pound is equal to 453.6 grams

1 pound is equal to 0.45359 kilograms

Explanation

1.8 x 1.5 = 27

Explanation

Let the two  numbers be x and x+66.

Since the LCM is 360, there must be 5,2 and 3 as the prime factors of the two numbers.

So, one pair is 24 & 90, because 90−24=66.

Also, 24=2×2×2×3

90=2×3×3×5

∴ LCM=2×2×2×3×3×5=360.

So, the numbers are 24 and 90.

ND5-07-2023

Explanation

The number of men= 5/11 x 33 = 15,

so out of 33 teachers,

men are 15

and women are 18. 5:6 can be written as 15:18.

For making it 1:1, 15+3: 18,

so 3 male teachers would be hired