percentages Model Questions & Answers, Practice Test for ssc chsl tier 1
A candidate scoring x% marks in an examination fails by a marks, while another candidate who scores y% marks gets b marks more than the minimum required pass marks. What is the maximum marks for the examination ?
Answer: (c)
Let maximum mark be = M
ATQ
$\text"xM"/100 + a = \text"yM"/100 - b$ [Passing marks]
$\text"a + b" = \text"M"/100 (y - x)$
${100\text"(a + b)"}/\text"(y - x)"$ = M
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
100 × 0.9 × 0.95 × 0.98 = 83.79
Therefore, a single effective rejection
= 100 – 83.79 = 16.21
Arushi’s project report consists of 25 pages each of 60 lines with 75 characters on each line. In case the number of lines is reduced to 55 but the number of characters is increased to 90 per lines, what is the percentage change in the number of pages. (Assume the number of pages to be a whole number.)
Answer: (c)
Total characters in her report = 25 × 60 × 75
Let the new no. of pages be n
Then: n × 55 × 90 = 25 × 60 × 75
n = 22.72
This means that her report would require 23 pages.
A drop of 8% in terms of the pages.
To an examination, a candidate needs 40% marks. All questions carry equal marks. A candidate just passed by getting 10 answers correct by attempting 15 of the total questions. How many questions are there in the examination?
Answer: (b)
Let the number of questions in examination = x
By given condition, 40% of x = 10
${x × 40}/100 = 10$
∴$x = 1000/40 = 25$
14.
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