Robert Bosch Numbers Quiz-4

Solution
27^\frac{1}{3} + 64^{\frac{1}{2}}-5
3 + 8 - 5 = 6

Answer: 8.77
Sol:
Given expression resembles to
(a^2 - b^2) / (a - b)
(a+b)(a-b) / (a-b)
5.45 + 3.32 = 8.77

Answer:
Explanation:
5.46 + 2.23 + 1.96
9.61 = 965 / 100 = 193 / 20

Answer:
Sol:
\frac{5.45 + 6.23 * 9.7}{3.42 + 5.23 * 8.6}
\frac{5.45 + 60.431}{3.42 + 44.978}
\frac{5.45 + 60.431}{3.42 + 44.978}
65.881 / 48.398

Answer:
Sol:
\frac{9.82 * 6.05}{4.25 * 8.62}
\frac{59.411}{36.635}
1.621

Correct Option:
{(708.40 × x) / 175} + 45 = 455
708.40 × x = (455 – 45) × 175
708.40 * x = 410 * 175
x = 71750 / 708.40
x = 101.28

Answer:
Sol:
245/7 + 450/9 + 565/11 - 540/9 - 65/11
35 + 50 + 55 - 60 -65/11
140 - (660 - 65) / 11
140 - 595/11
(1540 - 595) / 11 = 85.90

Correct Option: B
{(46.5% of 754 + 10.39) / (√484 – 27^{⅓})} = x^{⅓}
{(93% of 377 + 10.39) / (22 – 3)} = x^{⅓}
{(350.61 + 10.39) /19) = x^{⅓}
x^{⅓} = (361/19)
x^{⅓} = 19
x = 6859

Correct Option: C
23 × 17 + 427 – 52% of 1450 = x^{2}
x^{2} = 391 + 427 – 754
x^{2} = 391 + 427 – 754
x^{2} = 64 = 8

Answer: Option D
Explanation:
Let 4100 + 13.952 - x = 3764.002.
Then x = (4100 + 13.952) - 3764.002
= 4113.952 - 3764.002 = 349.95.