Explanation

The analogy is: 8 : ? :: 1 : 4

We know that 1 × 4 = 4, so we need to find the number that 8 is multiplied by to get the answer.

Since 8 × 4 = 32, the correct answer is 32.

Explanation

To change a mixed number to an improper fraction, multiply the denominator (3) by the whole number part (4), then add the numerator (2):

(4 × 3) + 2 = 12 + 2 = 14

So, the improper fraction is: 14/3

Explanation

To find the percentage, divide 30 by 150 and multiply by 100:

(30 ÷ 150) x 100 = 20%

So, 30 is 20% of 150.

The correct answer is: 20%

Explanation

To find the amount of petrol used, divide the total distance by the distance covered per liter:

Distance = 1800 miles

Distance covered per liter = 12 miles

Petrol used = Distance ÷ Distance covered per liter

= 1800 miles ÷ 12 miles/liter

= 150 liters

So, the motorist will use 150 liters of petrol.

Explanation

Since he saves 15% of his annual income, we can set up the equation:

15% of x = 500

To find the value of x, we can convert the percentage to a decimal by dividing by 100:

0.15x = 500

Now, divide both sides by 0.15:

x = 500 / 0.15

x = 3333.33

So, the man's annual income is Rs. 3333.33.

Explanation

To find the sale price, calculate 20% of the original price and subtract that amount from the original price:

Original price = 1500

Discount = 20% of 1500 = 0.20 x 1500 = 300

Subtract the discount from the original price:

Sale price = 1500 - 300 = 1200

Explanation

To change the improper fraction 27/7 to a mixed number, we need to divide the numerator (27) by the denominator (7):

27 ÷ 7 = 3 with a remainder of 6

So, the mixed number is: 3 6/7

Explanation

10 men complete a job in 14 days, so the total work equals 10 men × 14 days.

With 4 men, the work remains the same, but takes longer.

Multiply the original duration by the ratio of men: 14 days × (10/4) = 35 days.

Therefore, 4 men take 35 days to finish the job at the same rate.

Explanation

A + B = 15 ... (1)

A - B = 3 ... (2)

Adding (1) and (2), we get:

2A = 18

A = 9

Substituting A into (1), we get:

9 + B = 15

B = 6

Now that we have the values of A and B, we can find the value of AB:

AB = 9 × 6 = 54

Finally, we can find the value of 4AB:

4AB = 4 × 54 = 216

Explanation

The item that does not belong to transport is "Swing."

Ship, Car, and Aeroplane are modes of transportation.

A Swing is a playground equipment used for recreation.