Explanation

Rule: If n is odd then a^n + b^n is divisible by a + b

Here n = 43 which is odd  

a = 47 , b = 43  

a + b = 47 + 43 = 90

So 47⁴³ + 43⁴³ is divisible by 90

Last verified on 12-08-2026

Explanation

√2 - 1/√2 = 1/√2

(1/√2)² = 1/2

Last verified on 12-08-2026

Explanation

Multiply: 1 × 6 = 6  

Now count decimals: 0.01 has 2 decimals, 0.6 has 1 decimal → total 3 decimals

So 0.01 × 0.6 = 0.006

Last verified on 11-08-2026

Explanation

Explanation

Rate = 1350 dishes per 1 hour = 60 minutes

In 16 minutes:

Dishes = 1350 × (16 / 60)

= 1350 × 0.2666...

= 360

Last verified on 06-08-2026

Explanation

Sales tax = 0% × Rs. 50,000 = Rs. 0.

Therefore, no sales tax is charged when the tax rate is 0%.

Last verified on 06-08-2026

Explanation

Girls participating = 1/5 of 200 = 200 / 5 = 40

Boys participating = 1/8 of 160 = 160 / 8 = 20

Total students who participated = 40 + 20 = 60

Last verified on 06-08-2026

Explanation

Perimeter of rectangle = 2 × (Length + Width)

Given: 

Length = 58.7 

Width = 23.2

Perimeter = 2 × (58.7 + 23.2)

= 2 × 81.9

= 163.8

Last verified on 05-08-2026

Explanation

Use the work formula: 

Workers × Days × Hours per day / Units = constant

Case 1: 

30 workers, 20 days, 8 hours/day, 3000 units

Case 2: 

32 workers, D days, 10 hours/day, 2000 units

So,

(30 × 20 × 8) / 3000 = (32 × D × 10) / 2000

4800 / 3000 = 320D / 2000

1.6 = 0.16D

D = 1.6 / 0.16 = 10

Last verified on 05-08-2026

Explanation

Speed = 200 km/hr

Time from 12:24 PM to 2:12 PM:

From 12:24 to 1:24 = 1 hour

From 1:24 to 2:12 = 48 minutes

Total time = 1 hour 48 minutes = 1 + 48/60 = 1.8 hours

Distance = Speed × Time

Distance = 200 × 1.8

Distance = 360 km

Last verified on 05-08-2026