Explanation

A number is a perfect square (or a square number) if its square root is an integer;

that is to say, it is the product of an integer with itself.

Here, the square root of 513 is about 22.650.

Explanation

Amount of work done by A and B in 1 day = 1/30

Amount of work done by A and B in 20 days = 20 × (1/30) = 20/30 = 2/3

Remaining work – 1 – 2/3 = 1/3

A completes 1/3 work in 20 days

Amount of work A can do in 1 day = (1/3)/20 = 1/60

=> A can complete the work in 60 days

Explanation

The Fibonacci sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.

In this series, the next number is found by adding the two numbers before it.

Hence, the next term in the series is 8 + 13 = 21.

Explanation

One billion is equal to one thousand million, written numerically as 1,000,000,000.

One billion is equivalent to 100 crore or 10,000 lakh. 
1 billion has 9 zeroes
1 billion means ایک ارب

Explanation

1 kilogram (kg) of gold = 1,000 grams (g)

1 gram (g) of gold = 1,000 milligrams (mg)

1 ounce (oz) of gold ≈ 31.1 grams (g)

A kilogram is equal to 2.2 pound.

Gold density: 19.3 g/cm³

Gold melting point: 1,064°C (1,947°F)

Explanation

The kilometre is a unit of length in the metric system, equal to one thousand meters.

Explanation

Prime Factorization

1050 = 2 × 3 × 5 × 5 × 7

750 = 2 x 3 x 5 x 5 x 5

Common Factor = 2 x 3 x 5 x 5 = 150

Greatest Common Factor (GCF) = 150

Explanation

Convert to a common denominator: 3/8 + 4/2 = 3/8 + 16/8.

Add the fractions: (3 + 16) / 8 = 19/8.

Explanation

3/4=0.75

5/6=0.833

1/2=0.5

2/3=0.66

4.5=0.8

9/10=0.9

Clearly 0.8 lies between 0.75  and .833

4/5 lies between 3/4 and 5/6 .

Explanation

The factors of 16 are 1, 2, 4, 8, and 16, and the prime factorization of 16 is 16 = 2 × 2 × 2 × 2.