Explanation

Total workers = 120

Women = 45

Men = 120 − 45 = 75

Now, the ratio of men to women = 75 : 45

Simplify by dividing both by 15:

75 ÷ 15 = 5

45 ÷ 15 = 3

The ratio of men to women is 5:3.

Explanation

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Out of the given options:

18 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

27 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

30 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

36 is a perfect square because it can be expressed as 6×6=36, where 6 is an integer.

Explanation

Let's break it down:

Total amount = Rs. 2400

Nida's share = Rs. 600

Remaining amount = Rs. 2400 - Rs. 600 = Rs. 1800

Nadia and Amara share the remaining amount in the ratio 4:5.

Let's divide Rs. 1800 in the ratio 4:5:

Total parts = 4 + 5 = 9

Amara's share = (5/9) × Rs. 1800

= Rs. 1000

Explanation

1 hour = 60 minutes, so the ratio of an hour to a minute is 60 : 1.

It compares the larger unit (hour) to the smaller unit (minute).

Explanation

Given:

The wages of 6 men for 15 days be Rs. 2100

Calculation:

As the wages of 6 men for 15 days be Rs. 2100

The wages of 1 man for 15 days = Rs. 2100/6 = Rs. 350

And, the wages of 1 man for 1 day = Rs.350/15

Now, the wages of 9 men for 12 days = (Rs.350/15) × 9 × 12 = Rs.2520

∴ The wages of 9 men for 12 days is Rs.2520.

Explanation

The profit-sharing ratio between Hyder and Ahsan is 3:5.

The total parts are 3 + 5 = 8.

Ahsan's share is 5/8 of the total profit.

Given the total profit is 32,000:

Ahsan's share = (5/8) × 32,000

= 5 × 4000

= 20,000

Explanation

9/162=x/306

X=9/162 × 306

X= 17

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

In direct proportion, both quantities increase or decrease together at the same rate.

In inverse proportion, when one quantity increases, the other decreases in the same ratio.

Explanation

⇒ Number of girls = 20

⇒ Number of boys = 15

The ratio of girls to boys: ⇒ Girls: Boys = 20:15

⇒ Girls: Boys = 20 ÷ 5: 15 ÷ 5 ⇒ Girls: Boys = 4:3