Robert Bosch Numbers Quiz-2

Explanation -
2ab = (a^{2} + b^{2}) - (a - b)^{2}
2ab = 50 - 49 = 1
ab = 1/2.

Explanation -
(a+b)^{3}
(45+30)^{3} =421,875
none

Explanation -

4096^{\frac{5}{6}}

2^{12^{\frac{5}{6}}} = 1024
none

Solution
20 cakes in 4 minutes
So in 1 minutes \frac{50}{10} = 5
In 6 minutes 5 x 6 = 30 cakes

Solution
Non waste books = 1-\frac{1}{3} = \frac{2}{3}
Non waste books = 2400 \times \frac{2}[3} = 1600
There are total 1600 books which are non waste books.

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

Solution
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

Solution
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.

Answer: Option D

Explanation:

Let 4100 + 13.952 - x = 3764.002.

Then x = (4100 + 13.952) - 3764.002

= 4113.952 - 3764.002 = 349.95.

Solution:

Given decimal fractions: 25/100 and 30/100.

As the denominators are the same in both decimal fractions, we can directly add the numerators.

Thus,

(25/100) + (30/100) = (25 + 30)/100

(25/100) + (30/100) = 55/100.

Hence, the sum of the decimal fractions 25/100 and 30/100 is 55/100.