Explanation

To solve this, we need to multiply the two numbers:

2⁵ = 2 × 2 × 2 × 2 × 2 = 32

2³ = 2 × 2 × 2 = 8

Now, multiply them:

32 × 8 = 256

Explanation

To solve this problem, we can calculate the rate at which the laborers dig the earth:

Rate = 805 cubic meters / (35 laborers × 5 hours)

= 805 / 175

= 4.6 cubic meters per laborer per hour

Now, we can calculate the amount of earth dug by 30 laborers in 6 hours:

Earth dug = 30 laborers × 6 hours × 4.6 cubic meters per laborer per hour

= 30 × 6 × 4.6

= 828 cubic meters

The correct answer is 828m³.

Explanation

The volume of a cube is calculated by multiplying its width, length, and height:

Volume = width × length × height

= 3 × 3 × 3

= 27 cubic inches

Explanation

If a month starts with Sunday, then the number of Sundays in that month is 5

The remaining days is 30−5=25

Given that average number of visitors on Sundays is 510

Therefore, 510=5sum of the number of visitors on Sundays​

⟹sum of the number of visitors on Sundays=510×5=2550 -----(1)

Given that average number of visitors on other days is 240

Therefore, 240=25sum of the number of visitors on other days​

⟹sum of the number of visitors on other days=240×25=6000 -----(2)

Total average is 30total number of visitors​=302550+6000​=308550​=285

Therefore, the average number of visitors per day in a month of 30 days beginning with a Sunday is $285$

Explanation

Amount of work done by A and B in 1 day = 1/30

Amount of work done by A and B in 20 days = 20 × (1/30) = 20/30 = 2/3

Remaining work – 1 – 2/3 = 1/3

A completes 1/3 work in 20 days

Amount of work A can do in 1 day = (1/3)/20 = 1/60

=> A can complete the work in 60 days

Explanation

Investment at 5%: Rs. 4000 x 5% = Rs. 200 per year

Investment at 4%: Rs. 3500 x 4% = Rs. 140 per year

Total income so far: Rs. 200 + Rs. 140 = Rs. 340 per year

Shortfall: Rs. 500 (desired income) - Rs. 340 (current income) = Rs. 160 per year

Amount to invest: Rs. 2500 (remaining amount)

Rate of interest required: (Rs. 160 / Rs. 2500) x 100% ≈ 6.4%

So, the correct answer is: 6.4%

Explanation

60 (English) + 50 (Physics) + 90 (Economics) = 200

Total marks possible so far = 3 x 100 = 300

Now, let's calculate the total marks required to get 72% overall:

Total marks required = 72% of (300 + 100) (assuming Math's paper has 100 marks)

= 0.72 x 400

= 288

Now, let's subtract the marks already obtained from the total marks required:

288 - 200 = 88

So, the student needs 88 marks in Math's to obtain overall 72% marks.

Explanation

To find the value of x^2, we need to square the value of x:

x^2 = (2)^2

= 2 × 2

= 4

So, the correct answer is: 4

Explanation

Let's assume the original price is $100.

Maria bought it at 20% discount: $100 - 20% = $80

She sold it with a 40% increase: $80 + 40% = $112

Profit = Selling price - Original price = $112 - $100 = $12

Percentage profit = (Profit / Original price) x 100 = ($12 / $100) x 100 = 12%

The correct answer is 12%.

Explanation

To simplify the expression, follow the order of operations:

37 - [5 + {28 - (19 - 7)}]

= 37 - [5 + {28 - 12}]

= 37 - [5 + 16]

= 37 - 21

= 16

The correct answer is 16.