Numerical Reasoning Test|Mathematics
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Question Assignment #1
What quantity of scores have been 50 and under for ISP5?
A. 13.75%
B. 11.2%
C. 9.eight%
D. 20%
E. 7.2%
The proper reply is (E).
All we have to do with a view to reply this Question Assignment is to calculate the proportion
of scores that have been 50 and under for ISP5 utilizing the next formulation:
(# of scores of 50 and under for ISP5 / whole # of scores for ISP5) x 100 =
[112 / (112 + 254 + 785 + 389)] x 100 = 7.2%
Which means that 7.2% of the scores given to ISP5 have been 50 and under.
256 226
89 25
112
398 387
586
892
254
1,056
854
687
452
785
458 470
75 124
389
zero
200
400
600
800
1,000
1,200
ISP 1 ISP 2 ISP Three ISP Four ISP 5
N o . o f V o te
s Web Service Suppliers (ISP) – Passable Survey Scores
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Question Assignment #2
Which ISP had the bottom proportion of scores of 86 and above?
A. ISP 1
B. ISP 2
C. ISP Three
D. ISP Four
E. ISP 5
The proper reply is (C).
We have to calculate the proportion of rating of 86 and above for every class
in accordance with the next formulation:
(# of scores of 86 and above for ISP / whole # of scores for ISP) x 100
ISP 1: (458 / 2,168) x 100 = 21.1%
ISP 2: (470 / 1,937) x 100 = 24.Three%
ISP Three: (75 / 1,437) x 100 = 5.2%
ISP Four: (124 / 1,493) x 100 = eight.Three%
ISP 5: (389 / 1,540) x 100 = 25.Three%
We will see that ISP Three had the bottom proportion of scores of 86 and above.
256 226
89 25
112
398 387
586
892
254
1,056
854
687
452
785
458 470
75 124
389
zero
200
400
600
800
1,000
1,200
ISP 1 ISP 2 ISP Three ISP Four ISP 5
N o . o f V o te
s Web Service Suppliers (ISP) – Passable Survey Scores
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Question Assignment #Three
What’s the ratio of the variety of scores above 50 and under 86 to the full
variety of scores within the survey?
A. 2.85:1
B. 1:Three.85
C. 1:1.35
D. Three:Four
E. Not one of the above
The proper reply is (C).
With a purpose to reply this Question Assignment, we have to rigorously comply with these steps:
1. Sum up the variety of scores above 50 and under 86, i.e. the variety of
scores within the 51-65 class plus the variety of scores within the 66-85
class: 398+387+586+892+254+1,056+854+687+452+785 = 6,351
2. Sum up the variety of scores within the remaining classes (50 and under +
86 and above): 256+226+89+25+112+458+470+75+124+389 = 2,224
Three. Calculate the full variety of scores within the survey by summing up the
outcomes: 6,351+2,224 = eight,575
256 226
89 25
112
398 387
586
892
254
1,056
854
687
452
785
458 470
75 124
389
zero
200
400
600
800
1,000
1,200
ISP 1 ISP 2 ISP Three ISP Four ISP 5
N o . o f V o te
s Web Service Suppliers (ISP) – Passable Survey Scores
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Question Assignment #Four
At a sure cafe, three sandwiches, two pastries and 4 coffees price the identical as
4 sandwiches, one pastry, and two coffees. If one pastry plus two coffees price £Four
and two sandwiches plus one espresso price £9, how a lot does one pastry price?
A. ₤1
B. ₤2
C. ₤Three
D. ₤Four
E. ₤5
The ratio of the variety of scores above 50 and under 86 to the full quantity
of scores within the survey is 6351:8575 .
Because the end result is just not suitable with any of the choices, we may be tempted
to pick the “Not one of the above” possibility. Nonetheless, taking a cautious have a look at the
choices, we will see that possibility (C) is in reality equal to our end result, since dividing
either side of the ratio by 6,351 yields the results of 1:1.35.
Observe: The identical ratio might be expressed in quite a few methods. In our case, the ratio
of 6351:8575 might be expressed as 1:1.35, zero.74:1, Three:Four.05 and so on. Choice (D)
presents a ratio which may be very near the required ratio. Nonetheless, because the
ratio introduced in possibility (C) is nearer, this selection is extra correct than possibility
(D) and thus needs to be chosen.
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The proper reply is (B).
Let S signify the variety of sandwiches, P the variety of pastries and C the
variety of coffees. In response to the Question Assignment, the next is true:
(1) 3S + 2P + 4C = 4S + P + 2C
(2) P + 2C = Four
(Three) 2S + C = 9
Equation 1 will also be represented as:
3S + 2(P+2C) = 4S + (P+2C)
Thus:
3S + 2×4 = 4S + Four
3S + eight = 4S + Four
S = Four
Plugging again into equation Three:
2S + C = 9
2×4 + C = 9
eight + C = 9
C = 1
Plugging again into equation 2:
P + 2C = Four
P + 2×1 = Four
P + 2 = Four
P = 2
Subsequently, one pastry prices £2.
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Question Assignment #5
Area Laser LTD. Product Vary (in tens of millions of Kilos)
Merchandise Whole Value per Unit
Sale Worth per Unit
Revenue per Unit
Uncooked Supplies Manufacture Calibration
Houston A 13.Four 2.Four zero.34 35.Three 19.16
Houston AA 16.2 2.7 zero.75 39.2 19.55
Houston AA+ 17.eight 1.5 zero.zero12 42.7 23.388
Ramon 1 24.1 Four.5 zero.92 63.Four 33.88
Ramon 2 35.6 6.9 1.1 82.Four 38.eight
What’s the approximate proportion change in revenue per unit when a 12.5% low cost
is given for buying 150 models of Houston A?
A. 13
B. 16
C. 23
D. 18
E. 14
The proper reply is (C).
When a reduction is given, Revenue per Unit is decreased however prices stay fixed.
The fastened prices are: (sale value – revenue) = 35.Three – 19.16 = ₤16.14
The worth after low cost is: 87.5% x 35.Three = ₤30.8875
The brand new revenue per unit is: 30.8875 – 16.14 = ₤14.7475
Subsequently, the proportion change in revenue is:
[1 – (new profit/old profit)] x 100 = 1 – (14.7475/19.16) x 100 = 23%
Discover that there is no such thing as a want to contemplate 150 models, as a single unit is adequate
for calculating the loss in revenue.
There’s a shorter strategy to resolve the Question Assignment, should you realise the proportion
change correlates with the low cost worth. Thus, we will calculate absolutely the
low cost worth: 35.Three x zero.125 = ₤Four.4125, and divide it by the outdated revenue per unit
worth: (Four.4125/19.16) x 100 = 23%.
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Question Assignment #6
Area Laser LTD. Product Vary (in tens of millions of Kilos)
Merchandise Whole Value per Unit
Sale Worth per Unit
Revenue per Unit
Uncooked Supplies Manufacture Calibration
Houston A 13.Four 2.Four zero.34 35.Three 19.16
Houston AA 16.2 2.7 zero.75 39.2 19.55
Houston AA+ 17.eight 1.5 zero.zero12 42.7 23.388
Ramon 1 24.1 Four.5 zero.92 63.Four 33.88
Ramon 2 35.6 6.9 1.1 82.Four 38.eight
What’s the minimal variety of Ramon 2 models that have to be bought with a view to equal
the revenue comprised of promoting 25 Ramon 1 models, after a 13% enhance in Ramon 1’s
revenue?
A. 23
B. 24
C. 25
D. 26
E. 27
The proper reply is (C).
After a 13% enhance, the revenue from promoting one unit of Ramon 1 equals:
£33.88m x 1.13 = £38.2844m
Thus, the revenue from promoting 25 Ramon 1 models equals:
25 x £38.2844m=£957.11m
We all know that the revenue from promoting one unit of Ramon 2 is £38.8m. Subsequently,
the minimal variety of Ramon 2 models that have to be bought with a view to equal
957.11 million kilos is: £957.11m/£38.8m = 24.66.
Since it’s greater than 24 models, it have to be counted as 25.
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Question Assignment #7
Area Laser LTD. Product Vary (in tens of millions of Kilos)
Merchandise Whole Value per Unit
Sale Worth per Unit
Revenue per Unit
Uncooked Supplies Manufacture Calibration
Houston A 13.Four 2.Four zero.34 35.Three 19.16
Houston AA 16.2 2.7 zero.75 39.2 19.55
Houston AA+ 17.eight 1.5 zero.zero12 42.7 23.388
Ramon 1 24.1 Four.5 zero.92 63.Four 33.88
Ramon 2 35.6 6.9 1.1 82.Four 38.eight
Which product has the very best calibration price, relative to its whole price?
A. Houston A
B. Houston AA
C. Houston AA+
D. Ramon 1
E. Ramon 2
The proper reply is (B).
With a purpose to reply the Question Assignment, we have to comply with Three steps:
1. For every product, we have to discover the full price per unit = sale value per
unit – revenue per unit.
2. Subsequent, we have to divide the calibration price of every product by its whole
price.
Three. Lastly, we have to search for the most important quantity (which represents the
highest calibration price relative to whole prices).
Houston A: zero.34/(35.Three-19.16) = zero.021
Houston AA: zero.75/(39.2-19.55) = zero.zero38
Houston AA+: zero.zero12/(42.7-23.388) = zero.0006
Ramon 1: zero.92/(63.Four-33.88) = zero.031
Ramon 2: 1.1/(82.Four-38.eight) = zero.025
Subsequently, Houston AA has the very best calibration price relative to its whole price.
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Question Assignment #eight
Marsha is answerable for shopping for writing provides for the workplace. Paper is £20 per field,
pencils are £10 per package deal and pens are £35 per package deal. When Marsha goes to
purchase the provides, she discovers that there’s a 10% off sale on pens. If Marsha has
£300 to spend on provides, and she or he should purchase one field of paper for each package deal of
pencils or pens, and extra packages of pencils than packages of pens, what’s the
best variety of packages of pens that Marsha can purchase?
A. zero
B. 1
C. 2
D. Three
E. Four
The proper reply is (D).
To ensure that Marsha to purchase the best variety of pens, she wants to purchase the
smallest variety of pencils and paper:
1. We all know that Marsha has to purchase one field of paper for each package deal of
pens/pencils she buys. Subsequently, for her to purchase the smallest variety of
paper, she wants to purchase one package deal of paper for every package deal of
pencils/pens (and not more than that).
2. We additionally know that Marsha has to purchase extra pencils than pens. Thus, in
order to purchase the minimal variety of pencils, she has to purchase another
package deal of pencils than pens.
In response to (1), we will say that Marsha has to purchase combos of pencils + paper
and pens + paper at a most value of £300 .
A pencils + paper combo will price £30, and a pens + paper combo will price
£51.50 (Pens are 10% off, so that they price £31.50 as a substitute of £35.).
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Now, we will calculate the utmost variety of pens as follows:
0x(pens+paper)+1x(pencils+paper)=0x£51.50+1x£30=£zero+£30=£30
1x(pens+paper)+2x(pencils+paper)=1x£51.50+2x£30=£51.50+£60=£111.50
2x(pens+paper)+3x(pencils+paper)=2x£51.50+3x£30=£103+£90=£193
3x(pens+paper)+4x(pencils+paper)=3x£51.50+4x£30=£154.50+£120=£274.50
4x(pens+paper)+5x(pencils+paper)=4x£51.50+5x£30=£206+£150=£356
Since Four pens (+ paper) and 5 pencils (+ paper) prices greater than £300, the
most variety of pens that may be purchased is Three.
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