Robert Bosch Divisibility Quiz-2

2ab = (a2 + b2) - (a - b)2
2ab = 50 - 49 = 1
ab = 1/2.

(a+b)^{3}
(45+30)^{3} =421,875
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4096^{\frac{5}{6}}

2^{12^{\frac{5}{6}}} = 1024
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20 cakes in 4 minutes
So in 1 minutes \frac{50}{10} = 5
In 6 minutes 5 x 6 = 30 cakes

Non waste books = 1-\frac{1}{3} = \frac{2}{3}
Non waste books = 2400 \times \frac{2}[3} = 1600

Let unit cost of mango = x
Let unit cost of banana = y
8x+5y = 200
Only one equation
So can not find

Saving = 1 - \frac{1}{3} = \frac{2}{3}
\frac{2}{3} \times 40,000 = 26,666
Yearly Savings = 26,666 \times 12 = 319,992

Let first number = x
Second number = y
x+3y = 41–(1)
2x+y = 27–(2)
Equation 1 multiply by 2
2x+6y = 82–(3)
eq(3) - eq(2)
6y-y = 82 - 27
5y=55
y=11
x=41 - 3y = 41 - 33 = 8

Applying the remainder theorem,
A polynomial x is divided by (x-a), where ‘a’ is the real number,
then the remainder will be calculated by the value of the polynomial at x= a
Here a = 3
x^{4} - x^{3} + 10x - 20
3^{4} - 3^{3} + 10 \times 3 - 20 = 64.

Amount = 10 x 20 + 20 x 35 = 200+700 = Rs. 900