percentages Model Questions & Answers, Practice Test for ibps rrb po prelims
In a factory, producing parts of an automobile, the parts manufactured on the shop floor are required to go through quality checks, each conducted after a specific part of the processing on the raw material is completed. Only parts that are not rejected at one stage are put through subsequent stages of production and testing. If average rejection rates at these three testing stages during a month are 10%, 5% and 2% respectively, then what is the effective rejection rate for the whole plant ?
Answer: (d)
Let the total no. of parts produced at initial stage be 100.
Then after three successive percentage rejections of 10%, 5% and 2%,
we have un rejected parts = 100 × 0.9 × 0.95 × 0.98 = 83.79%
Therefore, a single effective rejection
= 100 - 83.79 = 16.21%
or
A single effective rejection
= [1 - (0.9 × 0.95 × 0.98)] × 100 = 16.21%
25% of 84 × 24% of 85 = ?
Answer: (a)
25% of 84 × 24% of 85 = ?
21 × 204 = ?
428.4 = ?
In a public library there are 110,000 books, 40% of which are science books. It was decided to add 20,000 new books to the library. How many of the new books should be science books in order to bring the percentage of science books in the library up to 45%?
Answer: (d)
Let X be the number of new science books.
Then, Total Science books / Total books = 45%.
$(X + 110000 × 40/100)/(20000 + 10000) = 45/100$
X = 14500.
84.04% of 1845 + 23.97% of 178.05 = ?
Answer: (e)
? = ${84 × 1845}/100 + {24 × 178}/100$
= 1549.8 + 42.72 = 1592.52 ≈ 1590.
In a class, 65% of the students are boys. On a particular day 80% of girl students were present. What was the fraction of boys who were present that day if the total number of students present that day was 70%?
Answer: (d)
Let the class has 100 students.
Number of girls = 35 and number of boys = 65.
Since total number of present students = 70 and number of girls present = 80% of 35 = 28, so number of boys present = 70 - 28 = 42.
Required fraction = 42/65.
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