Explanation

Total possible outcomes = 2⁴ = 16.

The probability of getting no head (all tails) is 1/16.

Probability of getting at least one head = 1 − P(no head).

Therefore: 1 − 1/16 = 15/16.

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 number of balls = Blue + Yellow + Red  

Total = 9 + 7 + 4 = 20  

Number of red balls = 4  

Probability of picking a red ball = Number of red balls / Total number of balls  

= 4 / 20  

= 1 / 5  

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