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# Arithmetic Aptitude :: Decimal Fraction

Home > Arithmetic Aptitude > Decimal Fraction > General Questions

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1. A student's grade in a course is determined by 6 quizzes and one examination. If the examination counts thrice as much as each of the quizzes, what fraction of final grade is determined by the examination?

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Explanation:

Solution: Let the marks allotted for one quiz be 10 marks so acc. to the question...

Marks allotted for the examination will be its three times i.e. 30 marks

So total marks of 6 quizzes and 1 examination will be 60+30=90

Fraction of examination marks out of total marks is: 30/90=1/3

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Tags:  TCS

2. In a library, there are two racks with 40 books per rack. On a given day, 30 books were issued. What fraction remained in the racks?

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Explanation:

Solution: On two racks there are 80 books in total.

Number of books issued on the day = 30

Fraction of books remaining: 50/80  =5/8

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3. If a salesman's average is a new order every other week, he will break the office record of the year. However, after 28 weeks, he is six orders behindschedule. In what proportion of the remaining weeks does he have to obtain a new order to break the record?

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Explanation:

Number of weeks in a year = 52
Total orders in a year = 52/2 = 26
So after 28 weeks no. of orders = 28/2 = 14
Originally completed orders in 28 weeks = 14 - 6 = 8 orders (Because 6 orders behind)
next 24 (52- 28) weeks, orders needed to collect = 26 - 8 = 18
So, required proportion for remaining weeks = 18/24 = 3/4

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4. An internet recently hired 8 new network,in advertisement 20 network already employed.All new network cam from university A.In addition 75%of computer advertisement came from same university A.what fraction of original 20 network advertisement came from same university A?

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Explanation:

8 new n/w,20 is already employed
Total n/w=20+8=28 n/w
so that 75% came from same university then 28*75/100=21
we all know 8 n/w is recently hired then 21-8=13
=> the fraction is=13/20

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5. In a library there are 5 computer cluster open for public use.Each computer cluster consist 33 laptop, in first week 75 laptop are used, in second week 155 laptop used ,in third week 30 laptop and in fourth week 160 laptop used. What fraction of library computer are in used in month?

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Explanation:

Given computer xluster open for public = 5
So, Total laptops = 33*5=165
In first week used 75 menas 75 out of 165=75/165=15/33
2nd week 155/165=31/33
3rd week 30/165=6/33
4th week 160/165=32/33
So. Total no of laptops used=(15+6+31+32)/33=88
Fraction of library computer are in used = (88/33)*1/4=2/3

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Tags:  IBM

6. After loading a dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day of the crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by two crews did the day crew load?

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Explanation:

If there are x workers in day and each loaded y boxes
then boxes loaded in day =xy
boxes loaded in night = 3/4 *y*4/5 *x = 3/5 *xy

total boxes loaded = xy+3/5 *xy = 8/5 xy
fraction of all the boxes loaded by two crews did the day crew load = xy/(8/5 *xy) =5/8

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7. 2/3rd of the balls in a bag are blue, the rest are pink. if 5/9th of the blue balls and 7/8th of the pink balls are defective, find the total number of balls in the bag given that the number of non-defective balls is 146?

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Explanation:

Let total no of balls =x blue=2x/3
pink=x/3
Total no of defective balls = 10x/27 +7x/24
=143x/216
Non defective balls=x-143x/216=146
=> x=432

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8. How many 1/5 are there in 243/5?

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