Explanation

Ratio of oranges to peaches to strawberries = 2:3:4

If there are 8 oranges, we can set up an equation based on the ratio:

Number of oranges = 2x = 8

To find the value of x, divide both sides by 2:

x = 8 ÷ 2

x = 4

Now that we know x, we can find the number of peaches and strawberries:

Number of peaches = 3x = 3(4) = 12

Number of strawberries = 4x = 4(4) = 16

Total number of fruit items = Number of oranges + Number of peaches + Number of strawberries

= 8 + 12 + 16

= 36

So, there are 36 fruit items in the basket.

Explanation

The pattern of the series is:

1³ = 1, 2² = 4, 2³ = 8, 3² = 9, 3³ = 27

Following this pattern:

4² = 16 (skipped), 4³ = 64

So, the next number in the series is 64.

Explanation

To find the number of good apples, you can subtract the number of bad apples from the total number of apples.

First, calculate the number of bad apples:

2/9 of 27 = (2/9) × 27 = 6

So, there are 6 bad apples.

To find the number of good apples, subtract the bad apples from the total:

27 - 6 = 21

Therefore, there are 21 good apples.

Explanation

The series is formed by incrementing the Roman numerals by 3:

V (5) + 3 = VIII (8)

VIII (8) + 3 = XI (11)

XI (11) + 3 = XIV (14)

XIV (14) + 3 = XVII (17)

So, the next number in the series is XVII.

Explanation

• The full width of the court is 6.1 metres (20 ft), and in singles this width is reduced to 5.18 metres (17 ft).
• The full length of the court is 13.4 metres (44 ft).

Explanation

In Pakistan and India, land area is measured in units such as marlas, kanal, and acres:

• 1 acre = 160 marlas
• 1 kanal = 20 marlas
• 1 acre = 8 kanals

Explanation

Given:

x + y = 6

y + z = 7

z + x = 9

Add the three equations:

2(x + y + z) = 22

Divide by 2:

x + y + z = 11

The average of x, y, and z is:

(x + y + z)/3 = 11/3

Explanation

To compare the fractions, convert them to equivalent decimals:

2/3 ≈ 0.67

5/8 ≈ 0.63

13/20 ≈ 0.65

Now, arrange the decimals in ascending order:

0.63, 0.65, 0.67

The corresponding fractions in ascending order are:

5/8, 13/20, 2/3

Explanation

To convert the given number to a fraction:

3 (72/100) = 3 + 72/100

Combine the whole number and fraction:

3 = 300/100

Add the fractions:

300/100 + 72/100 = 372/100

Simplify the fraction:

372/100 = 186/50

Now, convert the fraction to a decimal:

186/50 = 3.72

Explanation