Explanation

Given:

Brickwork = 100 cft

Mortar ratio = 1: 5

For rate analysis of brickwork, the standard quantity of cement for 100 cft of brickwork in 1:5 mortar is approximately 4 bags.

Explanation

Given ratio 1 : 6 : 12

Step 1: Total ratio

$$1+6+12=19$$

Cement = 1 part.

Step 2: Dry volume of concrete

For concrete, dry volume is usually taken as:

400×1.54=616 ft3

Step 3: Cement volume

191​×616=32.42 ft3

Step 4: Number of cement bags

1 cement bag (50 kg) ≈ 1.25 ft³

1.2532.42​=25.94

≈26 bags​

Explanation

Formula for nth term in AP: 

Tn = a + (n-1)_d

Where 

a = first term = 7

d = common difference = 5

n = 15

Put values:

T15 = 7 + (15-1)_5

T15 = 7 + 14*5

T15 = 7 + 70

T15 = 77

Last verified on 02-08-2026

Explanation

Total balls = 6 red + 4 blue + 5 green = 15  

Number of blue balls = 4  

Probability of selecting a blue ball = Number of blue balls / Total balls  

= 4 / 15

Verified & Updated

Explanation

• The formula for probability is: Favorable Outcomes ÷ Total Outcomes.
• Probability measures the chance of an event occurring.
• Its value always lies between 0 and 1.
• 0 means the event is impossible, while 1 means it is certain.
• It is widely used in mathematics, statistics, and everyday decision-making.

Last verified on 12-07-2026

Explanation

Total number of machines = 140  

Number of defective machines = 30  

Probability = Number of defective machines / Total number of machines  

Probability = 30 / 140  

Probability = 3 / 14  

Last verified on 11-07-2026

Explanation

Total balls = 4 blue + 3 red = 7  

Number of red balls = 3  

Probability = Favorable outcomes / Total outcomes  

= Number of red balls / Total balls  

= 3 / 7

Last verified on 11-07-2026

Explanation

For n people sitting around a circular table:

Number of arrangements = (n − 1)!

For 10 people:

(10 − 1)! = 9! = 362,880

Last verified on 11-07-2026

Explanation

A die has 6 equally likely outcomes: 1, 2, 3, 4, 5, 6.

The odd numbers are 1, 3, and 5, so there are 3 favorable outcomes.

Probability = Favorable outcomes ÷ Total outcomes = 3/6 = 1/2.

Last verified on 03-07-2026

Explanation

• A trade surplus occurs when a country's exports are greater than its imports.
• It means the country sells more goods and services to other countries than it buys from them.
• Trade surplus increases foreign exchange earnings and can strengthen the economy.

Last verified on 01-07-2026