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Calculations

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0% found this document useful (0 votes)
357 views105 pages

Calculations

Uploaded by

azizansy
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
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‫)‪Pearsonvue (KSA‬‬

‫اأسئ ه خ صه أسئ بيرس ن في لتخصص الصيدله ل حص ل ع‬


‫ترخيص مزا ل الم ن من قبل هيئ السع ديه ل تخصص الصحيه‬
‫يتك ن ااختب ر من ‪ ϭϬϬ‬سؤال اختي ر يتك ن من ‪ ϯ‬اجزاء ‪ -ϭ‬أسئ ه‬
‫ف رم ك لجي ‪ -Ϯ‬مس ئل ري ضي ‪Cases -ϯ‬‬

‫س ه ف تجميع هذه‬ ‫المذكره مج نيه ليس ل بيع المق بل ال حيد ه الدع ء لمن تع‬
‫المذكره رج ء مراجع الجر ص ح فكرةانش ء هذه المذكره كل فتره لمت بع كل م‬
‫ه جديد نظراً ل تحديث الذى يت كل فتره ع اأسئ ه من قبل شرك بيرس ن في رابط‬
‫الجر ‪:‬‬
‫‪https://www.facebook.com/groups/pearsonvue.questions‬‬

‫‪/‬‬
1.Laws:
 Vd=dose/co
Vd = Volume of distribution
Co = Conc. of drug in plasma at zero time
 Loading dose = Vd x Css
Loading dose = Vd [C2 – C1]
- Loading dose .. is the dose needed to reach steady state
- Css = Concentration of the drug in blood at steady state
- C1 = Concentration of the drug in plasma
- C2 = Concentration of the drug needed to add to C1 to reach equired conc.

 At steady state rate of drug input=rate of elimination


 Time required to reach steady state (Tss) = 4.5 or 5 t1/2
 Half life (T1/2) = the time required for the concentration of a substance in the
body to decrease by half.

 Therapeutic index (TI) =LD50/ED50


- LD50 = Median Lethal Dose is the amount of an agent that is sufficient to kill
50 percent of a population of animals
- ED50 = Median Effective Dose is the dose that produces a quantal effect in
50% of the population
- Drugs with narrow TI = highly dangerous

 Bioavailability =AUC/conc
Bioavailability = AUC ((oral)) /AUC ((iv)) x 100
Bioavailability =plasma conc of drug by any route/plasma conc of drug by iv
AUC = Area Under Curve

 Specific gravity = Wt. of substance ((Kg)) / Wt. of equal amount of water ((L))
Specific gravity = mass unit volume of sub. / mass unit volume of water
Specific gravity = Denisty of sub. / Denisty of equal amount of water
Denisty = Mass ((gm)) / Volume ((ml)) .. or Kg/L

 mEq = Wt. ((mg)) x valency / M.wt


mEq = milliequivalent

Clearance Laws:

 Clearance (Cls) = 0.693 x Vd / T 1/2


 Vd=dose/co
 Cls=rate of elimination/drug conc
 Cls =renal cls +non renal cls
 Cls = Ke x Vd ………. Ke = elimination rate conistant
 Creatinine clearance for male =(140 – age)x weight /72 x ser.
Creatinine

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 Cr.cls for female = Cr.cls for male x 0.85

Molality Laws :

 Molality ((m)) = No. of moles of solute / Kg mass of solvent


 No. of moles = Wt. of solute / M.wt
 Mass ((M)) = Denisty ((D)) x Volume ((V))

Molarity Laws :

 Molarity ((M)) = No. of moles of solute / L volume of solution

Osmolarity laws:

 Millimoles = [ wt. of sub. ((gm)) / M.wt ] x 1000


 mosm = millimoles x no. of species
Examples Of no. of species:
Ex1: NaCl = 1 Na + 1 Cl = 2 -------- Ex2: CaCl2 = 1 Ca + 2 Cl = 3
--- check problems No. 11 & 12

Some Conversions :

Weight:

 Kg = 2.2 Pound (( lb ))
 Grain = 0.065gm
Volume:

 Tea spoonful (( tsp )) = 5 ml


 Table spoonfull (( tbsp )) = 15 ml
 16 drop (( dp )) = 1 ml
 1 fluid ounce = 30 ml
 1 L = 0.22 Gallon
 1 L = 10 Decilitre
Tempreture:

 5F = 9C + 160
F = Fehrenhiet --------- C = clsius
Length:

 1fool (( ft )) = 12 inch
 1inch =2.54 cm
Others :

 PPM = Part Per Milion = mg / L


 10% w/w = 10 gm in 90 gm (( total wt. = 100 gm )) --------- w/w = gm in
gm

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 10% w/v = 10 gm in 100 ml (( total voume = 100 ml )) --------- w/v = gm
in ml
 10% v/v = 10 ml in 90 ml (( total voume = 100 ml )) ----------- v/v = ml in
ml

Some Molculer weights you may use:

 HCl = 36.4
 NaCl = 58.5
 CaCl2 = 111
 Kcl = 74.5
 NH4Cl = 53.5
 MgCl2 = 95.2

Some other laws haven't be used till now but may be useful for you (( just
read )) :

 Child dose = wt (( lb )) / 150 x adult dose


Child dose = age / (age+12) x adult dose
 E = Extraction ration = drug elimination of an organ ((
eg. Liver ))
E = [arterial drug conc. - venous drug conc.] / arterial
drug conc.
Cls of liver = E x hepatic blood flow

2.Problems :
1- amount of drug is 5 mg in 1 ml what the amount of drug in 1
tsp in microgram
a)5
b ) 25
c ) 500
d ) 2500
e ) 25000

Answer:
1 tsp = 5 ml
5 mg …. 1 ml
X mg …. 5 ml

X = 5 x 5/1 = 25 mg = (25 x 1000) 25000 mcg

***

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2- A solution is made by dissolving 17.52 g of NaCl exactly 2000 ml.
What is the molarity of this solution?
a- 3.33
b- 0.15
c- 1.60
d-3.00 x 10 -4
e-1.6x10 -4

Answer :
Molarity=mole/volume (L)
1 Mole=molecular weight of subs. In 1 grams
No of Moles = wt / Mwt
So, molecular weight of NACL=23+34=57
So, Mole=17.52/57=0.307
So, Morality=0.307/2=0.153

***

3-5ml of injection that conc. 0.4% calculate the amount of drug?

a-0.2mg
b-2mg
c-200mg
d-2000mg
e-20mg

Answer:
0.4 gm … 100 ml
X gm … 5 ml
X = 5 x 0.4/100 = 0.02 gm = (0.02 x 1000) = 20 mg

***

4-An elixir contains 0.1 mg of drug X per ml. HOW many micrograms are
there in one tsp of the elixir

A. 0.0005 micrograms
B. 0.5 micrograms
C. 500 micrograms
D. 5 micrograms
E. 1500 micrograms

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Answer :
0.1 mg in 1 ml
X mg in 5 ml

X = 0.1×5 /1 = 0.5 mg = 500 micro

***

5- sol contain D5W another one contain D50W we want to prepare sol cotain
D15W its volune is 450ml ... how much ml we need of each sol
a) D50w/D5w=10/35

Answer:
try the choices ratio in the equation :
(C1 × V1) + (C2 × V2) = (C × V)
( 50 × 10 ) + ( 5 × 35 ) = ( 15 × 45 )

Another answer :
(X) 50 ---------- 10 15 – 5 = 10
15
(Y) 5 ----------- 35 50 – 15 = 35

X / Y = 10 / 35 ---------- Y = 3.5 X
X + Y = 450 ---------- X + 3.5 X = 450
4.5 X = 450 --------- X = 450 /4.5 = 100
Y = 3.5 X = 3.5 x 100 = 350
X = amount of D50w …. Y = amount of D5w

***

6- prescription
hydrocortisone 2%
Cold cream 60gm
You have concentrations of hydrocortisone 2.5% & 1% how many grams will
you use from two concentration?

a- 20gm from 1% and 40gm from 2.5%


b- 40gm from 1% and 20gm from 2.5%
c- 30gm from both

Answer:
try the choices ratio in the equation
( C1 × V1 ) + ( C2 × V2 ) = ( C × V )
( 1 × 20 ) + ( 2.5 × 40 ) = ( 2 × 60 )

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Another answer :
(X) 2.5% ---------- 1 2–1=1
2%
(Y) 1% ----------- 0.5 2.5 – 2 = 0.5

X / Y = 1 / 0.5 -------------- X = 0.5 Y


X + Y = 60 -------- 0.5 Y + Y = 60
1.5 Y = 60 ----------- Y = 60 /1.5 = 40
X = 0.5 Y = 0.5 x 40 = 20
X = amount of 2.5 % …. Y = amount of 1%

***

7-Prescription
hydrocortisone 2% w/w
Cold cream 60gm
you have hydrocortisone solu. 100 mg/ml .. how many milliliters will you use
from the solution ?

a.10 ml
b.20 ml
c.40 ml

Answer :
2% w/w = 2% x 100gm = 2 gm means the prep. needs 2 gm of
hydrocortisone
0.1 gm in 1 ml
2 gm in X ml

X = 1 x 2/0.1 = 20 ml

***

8- if we have 0.8687g cacl2 in 500 ml solvent , denisty of the solvent is 0.95


g\cm3 ....Find the molality

a- 0.0165 Molal
b- 0.0156 Molal
c- 0.0165 m
d- 0.0156 m

Answer :
Moles = mass/m.wt = 0.8687 / 111 = 0.00782
Weight = density × volume = 0.95 × 500 = 475 gm = 0.475 kg
Molality = moles / kg of solvent = 0.00782/0.475 = 0.0165 molal

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***

9. How gm of substance X must added to 2000 gm of 10% substance X


solution in order to prepare 25% of substance x solution

a) 10000 gm
b) 400 gm
c) 40 gm
d) 10 gm
e) 0.4 gm

Answer:
(C1 × V1) + (C2 × V2) = ( C × V )
( 100% × Xgm ) + ( 10% × 2000 gm ) = ( 25% × 2000+X gm )
100X + 20,000 = 50,000 + 25X
100X - 25X = 50,000 - 20,000
75X = 30,000 ..... X = 30,000/75 = 400 gm

Another answer :
100% -------------- 15 25 - 10 = 15
25%
10% ---------------- 75 100 - 25 = 75
so the ratio between 100% : 10 % to reach 25% = 15 : 75
2000 gm ------ 75
X gm ------------ 15
X = 2000 x 15 / 75 = 400 gm

***

10- How much water (in milliliters) should be added to 250 mL of 1:500 w/v
solution of benzalkonium chloride to make a 1:2000 w/v solution

A/0.4L
B/2L
C/0.2L
D/ 0.05L

Answer:
250/500 = 0.5
250/2000 = 0.125
0.5 – 0.125 = 0.375

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***

11-How many mOsm are present in 1 liter of sodium chloride injection


(Mwt: sodium chloride= 58.5) ?
308 mosm

Answer :

 Note ; normally conc. of NaCl injection = 0.9%


that means 0.9 gm in 100 ml ..... that means 9 gm in 1 L
 Step 1.
millimoles = wt (gm) / Mwt (gm) × 1000 = 9 /58.5 ×1000 = 154
Note ; millimole = wt (mg) / Mwt (gm)
 Step 2.
mOsm = millimoles x no. of dissosation particles =154 × 2 =308 mosm

***

12-A solution contains 448 mg of KCl (MW=74.5) and 468 mg of NaCl (MW =
58.5) in 500mL. What is the osmolar conc. of this solution ?
0.056 Osm/l

Answer :

 For ( KCl )
0.448 gm in 500ml
X gm in 1000 ml ...... X= 0.896 gm
moles= 0.896/74.5 = 0.012
Osm= moles × no. of dissosation particles =0.012 × 2= 0.024
 For NaCl
0.468 gm in 500 ml
X gm in 1000 ml ..... X= 0.936 gm
moles= 0.936 /58.5 = 0.016
Osm= 0.016 × 2= 0.032
 Total osmalar conc. of sol. = 0.032 + 0.024 = 0.056 Osm/l

***

13. A Patient weighting 80 Kg is supposed to receive a drug at a dose of


2mg/kg/day. What is the dose that the patient should take for each day:

A. 80 mg ..... B. 160 mg ..... C. 240 mg ..... D. 320 mg ..... E. 400 mg

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***

14. Drug X is a given to a 70 Kg patient at an infusion rate of 0.95 mg/kg/hr.


How much drug we need for a 12-hr infusion bottle

A. 798 mg ..... B.66.5 mg ..... C. 665 mg ..... D. 84 mg

***

15. how many gm of water add to 5% KCL soln to make 180 gm of


solution(w\w)?
171 gm

Answer:
5gm--------------100
Xgm--------------180

X= 5x180/100=9 gm
So, the amount of water is:- 180 - 9 =171 gm

***

16. hypoparathyroid patient with tingling and numbness has the following lab
result so what is value of calcium correlative to albumin when below 45

Result normal value


Calcium 1.6 2.25-2.6
Albumin 34 18-56

a.2.3 b-1.5 c-2.5

N.B: 2.3 is a Conistant value you have to know

***

17. in clinic patient prescriped with a 500mg dose of aspirin , initial plasma
conc is 100mg .. With half life 6 hours calculate total body clearance ?

a.0.5 L/hr
b.5 L/hr
c.50 L/hr

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Answer:
Vd = dose / initial conc = 500/ 100 = 5L ..... T1-2 = 6 hr
Cl = 0.693 Vd / T1-2 = 0.693 × 5 / 6 = 0.5775 L/hr

***

18. - aminophylline (80%theophylline) was prescriped for asthmatic patient in


a dose of 500mg , half life =6.93 hours how many hours will it take to reach
below 2 % ?
42 hr

Answer:
(80%) ...T1... (40%) ...T2... (20%) ...T3... (10%) ...T4... (5%) ...T5... (2.5%)
...T6... (1.25%)

Time = 6 × T1/2 = 6 × 6.93 = 41.5 hr

***

19. Drug aminophylline (80% theophylline) in 500ml sln . Half life 6 h .what is
the concn of theophylline after 1 day ?
5%

Answer:
1 day = 24 hr = 4 T1-2
(80%) ....T1... (40%) ...T2... (20%) ...T3... (10%) ...T4... (5%)

***

20.For 1 litre of NaCl 3% calculate the osmolarity m.wt=58.5


1026

Answer:
3% means 3gm in 100 ml ... that means 30gm in 1L
No. of moles = wt / Mwt = 30 / 58.5 = 0.513 mole
Osm = no. of mole × no. of dissosation particles = 0.513 × 2 = 1.026
1.026 x 1000 = 1026 mosm

***

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21. If we give 250 ml of a drug and the area under curve was 112mg/hr/L and
after that we give 500 ml and the area under curve was 56 mg/hr/ml
The bioavilability decreased by
A-25%
b-50%
c-75%

Answer:
250ml ........ 112
500 ml .........X

X= 122×500 / 250 = 224


But real auc was = 56
So the bioavilability decreasing = 56/224 ×100 = 25%

***

22. drug A taken IV and drug B taken orally


the AUC of A =300 and Auc of b =225
what is biovalbility of drug

A. 85%
B. 90%
C. 75%
D. 80%

Answer:
Bioavailability= auc oral /auc iv ×100 = 225/300 × 100 = 75%

***

23.T 1/2 .. in frist line is ....


A .1/k
B . 0.693/ k

***

24. a drug is given as iv infusion in a rate of 2mg/hr ,its T1-2 = 2hr , how much
mg of the drug we need to reach steady state

A. 4mg
B. 16mg
C .20mg
D. 40mg

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Answer :
We reach steady state after 5 T1-2 = 5 × 2 = 10hr
2mg ...ever... 1 hr
Xmg ...after... 10 hr
X = 2×10/1 = 20mg

***

25. a drug with T1/2 = 72hr , the body will recive complete dose after ;

A. 1 day
B. 2days
C. 1week
D. 2weeks

Ans: We will reach Steady state after 5 half-life = 5×72= 360hr = 2weeks

***

26. A patient takes levofloxacin 250mg/ml , the pharmacist has levoflaxacin


injection 500mg / 20 ml , the concentration needs to be dilated for patient ..
which of the following concentration is more accurate:

A/ 10 ml
B/ 15 ml
C/ 7.5 ml

Answer :
500 mg in 20 ml
250 mg in X
X = 20 x 250 / 500 = 10 ml

***

27. priscription for a child contain Omeprazol syr. 10 mg/ml twice daily for a
week .. you have Omeprazol capsul 20 mg in your pharmacy,
how many capsules are needed to prepare solution with concantration 2
mg/ml ??
7 cap.

Answer:
10 mg/ml twice daily for a week = 140
20 _____1
140 _____ X

X=140/20=7

***

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28.Drug 500mg and 300mg eleminated outside the body and t1/2=5hr and
another drug same first one but with conc 1000mg .. how many hrs it take to
eliminate 600mg ot of the body?
5 hrs

Answer :
CLs=rate of elimination /drug conc
CLs1=300/500=0.6
Vd=t1/2×cls/0.693=5×0.6/0.693=4.3
CLs2=600/1000=0.6
t1/2=0.693×vd/cls=0.693×4.3/0.6=5 hrs

***
29. HOW can prepare 100 ml of 12% MgCl by taking?
a-12ml of MGCL dissolve in 100 ml water
b-12 gm of MGCL dissolve in 100 ml water
c-12ml of MGCL dissolve in 1000 ml water
d-90.5 ml of MGCL dissolve in 100 ml water

Note ; w/v = g/ml ..... ex ; 4% w/v means 4 gm in 100 ml

***
30. man 40 years and 80 kg sr ce 0.5 mg\dl find creatinie clearance mg\ml :
a.222
b.232
Answer :
Cr.cl for male = (140 – age)x weight /72 x ser. Creatinine
=(140 – 40 ) x 80 / 72 x 0.5 = 222

N.B : The same data for female the answer is : 189


Cr.cl for female = Cr.cl for male x 0.85 = 222 x 0.85 = 188.7

***

31.15 g of drug is added in 150mg of a solvent. Then what is the total


concentration of drug in the final mixture:
a- 6.01%
b- 9.10%
c- 10%
d- 15%

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Answer:
15 + 150 = 165
15 g in 165
X g in 100
X = 100 x 15 / 165 = 9.10

***

32. A bag containing 250 ml of 25000 IU heparin


The patient weigh 70 kg should recieve 10 IU/kg/hr...calculate the amount in
ml the the patient should recieve in one hour...
7 ml

Answer:
10 iu for 1 kg
X iu for 70 kg
X = 70 x 10 /1 = 700 iu

250 ml of 25000 iu
X ml of 700 iu
X = 700 x 250 / 25000 = 7 ml

***

33.Patient with prescription of Captopril 50 mg per tab with a dose of 100 mg


daily for 4days and you only have the 25 mg tab .. How many tablets you will
dispense ?

16 Tab

Answer :
100 mg daily for 4 days = 400 mg
400/25 = 16 tab

***

34.A problem with the following data


Dose = 1000
Initial conc =10
Elimination rate constant=0.1
Calculate total clearance ??

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a-250
b-200
c-150
d-100
e-10 litre

Answer:
Cl= vd × kel
Vd=dose/conc=1000/10=100
Cl=0.1×100=10

***

35.Problem with the following data :


Density = 1.75 g/cm3
Mass = 15 gm
Calculate the Volume ?

a.11
b.10
c.8.52

Answer:
Denisty = mass / volume
volume = 15 / 1.75 = 8.57

***

36.Prescription contain :
Clindamycin 1.5%
dilultion with alcohol up to 300 ml
you have a bottle 100 ml of 10% clindamycin
how many millelitres will you use ?

a.7.5
b.45

Answer:
1.5 ..... 100
X ..... 300
X=4.5

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10 ...... 100
4.5 ..... X
X=45

***

37.A drug with Conc. 400 m and T1/2 = 12 hr.s


the concentration will decrease after 1 day by …

a.10%
b.25%
c.75%
d.90%

Answer:
24 hr.s = 2 half lives
(400) …T1 … (200) … T2 … (100)
so you lose 300 of the drug
( 300 / 400 ) x 100 = 75%

***
38. A drug should be given 50 ml of 2 meq/ml , but available concentration is
10 meq/ml, How many ml should dispense to patient?
a.5 ml
b.10 ml
c.15 ml
d.20 ml
e.25 ml
Answer:
2mg -----1ml
X mg-----50ml
X = 50 x 2 =100ml
10 mg-------1ml
100 mg------ X
X = 100 x 1 / 10 =10 ml

***
39. 30gm of 1% hydrocortisone mixed with 40 gm 2.5% hydrocortisonen what
is the concentration of the resulting solution?
a) 3%

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b) 1.85%
c)10%
d) none of the above

Answer :
C1.V1 + C2.V2 = C3.V3
30gm × 1% = 0.3gm
40gm × 2.5% = 1gm
So, 1.3 gm is in 70 gm
So, the con. =1.3/70=1.857%

***
40. if we have 90% of substance X solution , 50% of substance X solution ,
how mixing both to give 80% of substance X solution ?
a- 3 : 1
b-1:3
c-10:30
d- 5:9
Answer :
We should try all answer with that equation
(C1×V1) + (C2×V2) = (C×V)
(90% × 3) + (50% × 1) = (80% × 4)
( 270 ) + ( 50 ) = ( 320 )
( 320 ) = ( 320 ) so the answer is 80%
Another answer :
90% 50%
80%
30 10
So .. 90/50 to reach 80 % equal 30/10 = 3/1

***
41. - prep. contain coal tar 30 part ... petroleum 15 part ... adeq. to 150 part ...
what conc. of coal tar in 500 ml:
100 part

Answer:
30 part present in 150ml of prep.
X part present in 500ml of prep.

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so, conc. of coal tar in 500ml=30x500/150= 100 part

***
42.How many grams needed from drug in one teaspoonful , if 5 tspfull doses
contain 7.5 gm of drug ?
a) 0.0005
b) 0.5
c) 500
d) 1.5

Answer:
7.5gm in 5 tsp .....
X gm in 1 tsp .....
X = 7.5×1 /5 = 1.5 gm
N.B: 1 tsp = 5 ml

***

43.KI solu. has 0.5mg/ml dissolve in 30ml water calculate the amount of KI in
the solu. ?
15mg

Answer :
0.5 mg in 1 ml
X mg in 30 ml

X= 0.5×30 /1 = 15 mg

***

44. - the dose of drug is 0.5ml per day and the total amount of the drug Is
100ml what is the total dose ?
200

Answer :
no. of doses = amount of drug / amount of one dose = 100/0.5= 200

***

45.if we have a solvent costs 150 riyal/kg and its specific gravity =1.07 ,so the
cost for 100ml of the solvent is :
16.05 riyal

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Answer :
Weight (Kg) = volume (L) × sp. Gravity …….. 100 ml = 0.1 L
wt = 0.1 × 1.07 = 0.107 Kg

1 kg cost 150 riyal


0.107 kg cost X riyal

X = 0.107×150 /1 = 16.05 riyal

***

46- A patient cholesterol level is equal to 4mM/L. This cholesterol level can be
expressed in terms of mg/dL
( molecular weight of cholesterol = 386)

A.0.0154 mg/dL
B. 0.154 mg/dL
C. 1.54 mg/dL
D. 15.4 mg/dL
E. 154 mg/dL

Answer :
Conversion from (mM) to (mg) = conc. × molecular weight
Conversion from (L) to (dL) = conc. / 10
Conc (mg/dl) = conc. (mMol /L) × mwt / 10 = 4×386 /10=154.4

***
47.drug container contain 90 mg each tablet contain 0.75mg.
how many doses ?
No. of doses = total wt / wt of one dose = 90 / 0.75 = 120 dose

***
48- How need prepare benzacainamid conc. 1:1000 ,30cc of benzocainamid
solution?

a-30 mg
b-50 mg
c-80 mg
d-100 mg
e-130 mg

Note : cc = cubic centimeter = cm3 = ml

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Answer :
1 gm ----- 1000 ml
X gm ----- 30 ml

X = 30 x 1 / 1000 = 0.03 gm = 30 mg

***
49. The Molal concentration of 0.559 M solution is ;
(Mwt=331.23 g/mol) (density of solution =1.157g/ml)
a-1.882
b-0.882
c-0.559
d-0.575

Answer :
Mass = moles × Mwt = 0.559 × 331.23 = 185.15 gm
wt of solution = Volume × Destiny = 1000 ml × 1.157=1157 gm
so wt of solvent = 1157 - 185.15 = 971.85gm = 0.971 kg
molality = moles / kg of solvent = 0.559 / 0.971= 0.575 molal

***

50.Problem asked to calculate Plasma Osmolarity


an you have given some data
Na 140
Cl 103
Hco3 18
Bun 8
S.cl 8

Answer is : 263

N.B:

 the data of this problem isn't complete here .. 263 is the right answer
just know it
 in general .. to calculate plasma osmolarity follow this equation :
2[Na] +[Glucose]/18 +[BUN]/2.8

***

51. drug decrease after 2hr to 50% &the user takes it every 2 hr how many
hours needed to reach steady state ?

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A/2-4
B/6-8
C/10-12

Answer:
Time to reach steady state ((Tss)) = 4 to 5 T1/2
4 x 2 = 8 ….. 5 x 2 = 10
N.B: if there is (( 8-10 )) if choices … choose it

***

52. 10g of a drug was dissolved in 150g of solvent, what is the final
concentration?
6.25%

Answer:
10 … 160
X …. 100
X = 100 x 10 / 160 = 6.25 %

***

53.A physician prescribed paracetamol 120mg/5ml to take 10ml every 8 hours


but the pharmacist has only paracetamol 160mg/5ml . what is the volume to
be administered to give the effect of the first dose :

a- 6.5 ml
b- 7.5 ml
c- 10 ml
d - 11 ml

Answer:
dose = 240 mg paracetamol
160 mg in 5 ml
240 mg in X ml
X = 240 x 5 / 160 = 7.5 ml

***

54.A drug with conc. 100 mg/ml .. after 1 hr. it decreased to 50 mg/ml ..
calculate its concantraion after 3 hours :

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a.25
b.12.5
c.6.25

Answer :
100 .. [1hr] .. 50 .. [2hr] .. 25 .. [3hr] .. 12.5

***

55. how many gm of water add to 5% KCL soln to make 100 gm of solution
(w\w) ?
95gm

N.B: 5% (w/w) means 5gm of KCl in 95gm of water and solution total wt=100

***

56. 1000 mg of drug follow one compartment.. calculate vd ?

Time 0 hr 2 hrs 4 hrs 6 hrs 12 hrs


Conc 80 58 34 28 10
mg/ml

A.12.5 litre
B. 4 litre
C. 45 litre

Answer :
Vd = dose / initial conc.
Vd = 1000 / 80 = 12.5 L

***
57. Drug dose 1000 mg orally
Time 0 hr 2 hr.s 4 hr.s
Conc. 40 18 8

What is the Vd of the drug ?


a.55 litre
b.45 litre
c.75 litre
d.25 litre

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Answer:
Vd= 1000/40 = 25 L

***

58. HOW can prepare 100 ml of 12% MgCl by taking?

a-12ml of MgCl dissolve in 100 ml water


b-12 gm of MgCl dissolve in 100 ml water
c-12ml of MgCl dissolve in 1000 ml water
d-90.5 ml of MgCl dissolve in 100 ml water
e-0.95 ml of MgCl dissolve in 100 ml water

***

59. How many grams of drug used to prepare 150 ml solution ,, if one tsp
contains 7.5 mg of drug
a. 4 gm
b. 0.225 gm
c. 2.25 gm
Answer:
7.5 mg in 5 ml
X mg in 150 ml
X = 150 x 7.50 / 5 = 225 mg = ((225/1000)) 0.225 gm

***

60. Patient takes dose 20 mg/kg/day


what is the dose if patient weight 60 pound ?
545 mg/day

Answer:
you have to know .. 1 kg = 2.2 pound (lb)

20 mg -------- 2.2 lb
X mg ---------- 60
X = 60 x 20 / 2.2 = 545.45 mg/day
***
61.A child was prisciped a drug with dose 65 mg/kg/hr .. his body weight =
35.2 pound
Calculate the dose ..
a.1.040 gm
b.10.40 gm
Answer:
35.2 pound = 15.97 kg = about 16 kg

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65 mg … 1 kg
X mg … 16 kg
X = 16 x 65 = 1040 mg = 1.040 gm

***
62.Calculate the Specific gravity of a substance of volume = 121.92 ml & wt =
107.5
A/1.88 s.g.
B/2.88 s.g.
C/0.88 s.g.
D/8.8 s.g.
Answer:
Denisty = wt. / volume
= 107.5 / 0.12192 = 881.7
Sp. Gravity = denisty Of substance / den. Of water = 881.7 / 1000 = 0.88

***

63. The ppm concentration of a 6.35x1 0-6M solution of sucrose (Mwt of


sucrose is 342.3 g/mole) is:

A. 2.174 × 10-3ppm
B.2.174 ppm
C.2.174 × 10-6 ppm

Answer :
ppm concentration = mass in mg / volume in liters
Molar conc means no. of mole in 1 liter .... then volume= 1L
mass = moles × Mwt = 6.35x10-6 x 342.3 = 2.174x10-3gm = 2.174 mg
Then 2.174 mg is in 1L = 2.174 ppm

***

64. A 500 infusion bottle contains 11.729 mg of potassium chloride (KCI).


How many mEq of KCI are present? ( Mwt of KCI = 74.6)

A. 0.1571 mEq
B. 1571 mEq
C. 6.37 mEq
D. 0.00637 mEq

Answer :
mEq = wt (mg) × valency / Mwt = 11.729 ×1 / 74.6 mEq = 0.1572

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***
65. Fifty micrograms equals:
a-50000 ( nanogrames )
b- 0.05 ( milligrams )
c- 0.0005 g
d- a and b
e- a and c
Note; ... mc-g = 1000 nano-g ... milli-g = 1000 mc-g ... g = 1000 mg

***
66. a 2 mg/L solution , according ppm
a-2 ppm
b-0.002 ppm
c-0.000002 ppm

Note ; ppm = mg / L
ppm : part per milion

***

67. What is The Specific gravity of substance has Weight=Y & The volume is
X?
Y/X

Answer :
The Specific gravity =Density of the substance/Density of water
Density of water = 1 .... Density of substance = weight/volume
So, the sp. gravity of sub. =weight (Y) /volume(X)/1 = Y/X

***
68. drug decrease to 50% of its plasma conc. after 2hr .. we have dose A
given each 2hr and dose B given each 4 hour … in dose B what is the plasma
conc. at steady state ?
A/0.25
B/0.5
C/2

***

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69.Calculate C av .ss
1gm vancomycin for patient 78 kg Taken by infusion rate 12 hr /7 day
T 1/2 =8
Vd = 1 k/l
A. 3
B. 5
C. 17
D.19
We can't find the right answer .. try to solve it 

***

70.Paitents on treatment with acyclovir and famcyclovir .. group that treated


by acyclovir show recurrence by 27% and who treated by famcyclovir show
recurrence by 25%
the ques. is how many patients should take famcyclovir over than who take
acyclovir per year to reach equivilant results ?
The answer is : cannot be calculated because of low information

***

71.Patient's dose of some drug is 0.5 mg daily and Vd = 500 L .. his body
elimination rate is 110.16 Litre per day … in the last day about 80 % of the
drug was in his blood
Calculate half life ..
3 days
Answer:
Cl=0.693 x vd / T1.5
T1/2 = 0.639 x 500 / 110.16 = 3.14 day

***
72.Problem with data :
drug 10 mg/ml and t1/2= 3 hrs
how much hrs needed to reach steady state??
12 – 15
Answer:
Time required to reach steady state (Tss) = 4 – 5 t1/2
4x3=12 ……. 5x3=15

***

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73. drug t1/2= 2h .. dose A taken every 2h and dose B taken every 4h
compare plasma concentration a to b ..
a.1/2
b.2

***

74. A half life of a drug decrease by 50% , after how hours will the time
needed to decrease to 2%
a.2 …. b.10 …. c.5 …. d.12
Answer :
100% .. [T1] .. 50% .. [T2] .. 25% .. [T3] .. 12.5% .. [T4] .. 6.25% .. [T5] .. 3.1%
.. [T6]
1.5% so we need 6 half lives to reach below 2% ......... T1/2 = 2 h.
2 x 6 = 12 h.

***

75.A problem with thin curve and ask for therapeutic range
answer : 8/2 = 4
- in other exams the same curve with LD50 = 20 & ED50 = 5
so TI = LD50/ED50 = 20/5 = 4

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***

76.which drug has higher bioavailability ?

1.A … 2.B … 3.C … 4.D


N.B : bioavilability measured by comparing plasma level
higher plasma level = higher bioavailability

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***

77.Which drug of the following has the safest margine ?

1.A … 2.B … 3.C … 4.D

N.B : safest margine = higher therapeutic index

***

Summary of the important problems :


1.Molarity of 17.52 NaCl solution : 0.15

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2.Cold cream with two concentrations : 20gm from 1% and 40gm from 2.5%

3.Cold cream (( how many ml uses )) : 20 ml

4.Ca correvted to albumin : 2.3

5.Osmolarity of NaCl : 1026

6.AUC bioavailability ((112, 500)) : 25%

7.AUC bioavailability ((300, 225)) : 75%

8.Levofloxacin : 10 ml

9. Omeprazol : 7 cap.

10.Crcl of Male, 40 y, 80 kg with Scr: 0.5 mg/dL: 222ml/min

11.the same problem but for female : 189ml/min

12.Heparin bag : 7 ml

13.Captopril : 16 tablets

14.Clindamycin : 45

15. Plasma Osmolarity : 263

16.Paracetamol : 7.5 ml

17 .gm of water add to 5% KCL (( w/w )) : 95 gm

***
Don’t Forget to Study the other Files (Cases &Pharma
Questions)
Good luck 

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Answer ( C )
20 g in 100 ml
8.4 g in X ml
X ml = ( 8.4 x 100 ) / 20
= 42 ml

The Answer is ( D )
The total dose for 3 days = {( 800 mg x 2) x 3}
= 4800 mg
200 mg in 1 tablet
4800 mg in x tablets
X tablets ={ (4800 x 1 ) / 200 }
= 24 tablets
The Answer is ( B )

The Answer is ( C )
12.5 mg in 5 ml
X mg in 60 ml
X mg = { ( 60 x 12.5 ) / 5 }
= 150 mg

50 mg tablets in 1 stock
150 mg in x stock
X = { (150 x 1) / 50 }
= 3
The Answer is ( B )
40 mg for 1 m²
X mg for 1.5 m²
X mg = { ( 1.5 x 40 ) / 1 }
= 60 mg
160 mg in 16 ml
60 mg in x ml
X ml = { ( 60 x 16 ) / 160 }
= 6 ml

The Answer is ( C )
0.2 % means
0.2 g in 100 ml
Xg in 5 ml
X g = { ( 5 x 0.2 ) / 100 }
= 0.01 g = 0.01 g x 1000 = 10 mg
The Answer is ( B )
10 % means
10 g in 100 ml
Xg in 10 ml
X g = { ( 10 x 10 ) / 100 }
= 1g
1mEq = 0.0735 g
X mEq = 1 g
X mEq = { ( 1 x 1 ) / 0.0735 }
= 13.605 g
The Answer is ( D )
The dose for 1 day for 1 kg
20 mg x 4 times = 80 mg
80 mg for 1 kg
X mg for 28 kg
X mg = { (28 x 80 ) / 1 }
= 2240 mg for one day
The stock
200 mg in 5 ml
2240 mg in X ml
X ml = { ( 2240 x 5 ) / 200 } = 56 ml
The Answer is ( A )

The Answer is ( C )
0.25 g in 100 ml
Xg in 10 ml
X g = {(10 x 0.25) / 100 } = 0.025 g = 25 mg
0.1 mg in 1 ml
25 mg in X ml
X ml = 250 ml
250 – 10 = 240 ml
The Answer is ( D )

The Answer is ( C )
12.5 x 2 x 14 = 350 mg for 1 kg
350 mg x 20 = 7000 mg
The bottle is 125 mg in 5 ml
7000 mg in X ml
X ml = 280 ml
One bottle = 100 ml
X bottle = 280 ml
X bottle = 3 bottle
The Answer is ( A )
One dose = 2.5 x 25 = 62.5 mg

25 mg in 1 ml
62.5 mg in X ml
X ml = 2.5 ml

The Answer is ( A )
Teaspoonful = 5 ml
7.5 mg in 5 ml
X mg in 150 ml
X mg = 225 mg = 0.225 g
The Answer is ( D )
The dose = 10 ml x 3 x 5 = 150 ml

The Answer is ( A )
10 g in 100 ml
Xg in 10 ml x = 1g
1 g in 500 ml
X g in 100 ml
X = 0.2 g in 100 ml mean 0.2 %
The Answer is (C )
5 g in 25 ml
X g in 1 ml
X g = 0.2 g = 200 mg

The Answer is ( C )
The Answer is ( A )
X°= 1000 mg C°= 10 mg/l
Vd = X° / C°
Vd = 1000 / 10 = 100 L/kg
Cl = K Vd
Cl = 0.1 x 100 = 10 L/h

The Answer is ( D )
15% mean 15 g in 100 ml
Xg in 60 ml
so, X = (60 x15)/100 = 9 g ( we need)
the stock is 30% mean 30 g in 100 ml
9 g in X ml
So, X = (9 x 100 )/30 = 30 ml
The Answer is ( B )
The total dose need = 500 x 3 x 7 = 10500 mg
So, 250 mg in 1 tablet
10500 mg in X tablets
X = (1 x 10500 )/ 250 = 42 tablets

The Answer is (B)


The dose for 15 kg child for 1 day = 75 x 15 x 4
= 4500 units
The stock 2.5 ml contain 12500 units
X ml contain 4500

X ml = (4500 x 2.5 ) / 12500 = 0.9 ml


The Answer is ( A )
The total need = 10 x 7 = 70 mg
If the capsule strength is 40 mg
so, we need 2 capsule (2 x 40) = 80 mg
2 mg in ml
80 mg in X ml
X ml = (80 x 1 ) / 2 = 40 ml
So, we need prepare 2 capsule and 40 ml water to
prepare 40 ml (2 mg / ml )

The Answer is ( B )
20 x 0.25 = 5 mg
The Answer is ( D )

The Answer is (C )

The Answer
The dose = (20 x 8 ) / 2 = 80 micrograms Not: how many
milliliter ( not correct ) this is volume not Wight
The Answer is ( A )
The dose = 2.5 x 25= 62.5 mg
The stock 25 mg in 1 ml
62.5 mg in X ml
So, X = (62.5 x 1 )/ 25 = 2.5 ml

The Answer is (D)


2.5 % W/W means 2.5 g in 100 g
Xg in 1 g
So, X = 0.025 g drug in 1 supp.
X g drug in 24000 supp. So, X = 600 g
The Answer (B)
10% means 10 g in 100 ml

The Answer (A)


40 mEq in 1000 ml
X mEq in 40 ml So, X = 1.6 mEq in 1 h
1.6 mEq for total 16 kg
X mEq for 1 kg
So, X = 0.1 mEq in 1h = 2.4 mEq in 24 hr
The Answer (B)
(% w/v) = ( g / 100ml)

The Answer (D)


10 ml = 1 g CL HCl
3 ml = X g CL HCl X = 0.3 g CL HCl = 300 mg
1 mg CL HCl = 800 mic CL
300 mg CL HCl = X mic CL X = 240000 mic CL
٠.٣=٣/١٠
٨٠٠*٣٠٠
=٥٠٠|٢٧*٣

The Answer ( A)

The Answer ( C )
The Answer (D)

The Answer ( B)
Flow rate = (Drop factor X volume)/ Time in
minutes
= ( 30 x 20 ) / 60 = 10
The Answer (D)

The Answer (A)


The Answer ( A)

The Answer ( C)

100x10=1000/25=40/5=8

The Answer ( D)
The Answer (C)
In fed state of stomach the blood perfusion is
high
So, the hepatic clearance = (2.5 x 40)/100 = 1 L/h

The Answer ( B)
150/15x100

The answer (D)

1.5x60=90
2.5x90=225x10=
The answer (D)

The Answer (A)


By alligation method
5x60\50=

The answer (A)

3x8=

The answer (D)

.2x5/100=.1/1000

The answer (C )
The answer (C )

25x4=100mg/d
125x2=250ml
500x10/5=500mg
500/100=5 day

The answer (B )
5x4=20mg/d
20x10/25=8

The answer (C )

2000mgx1/74.6=

The answer (C )
70x250/25000=0.7x10=7ml

The answer ( B )

mass=dxv
0.92x60

The answer ( C )

The answer ( B )
The answer ( D )
K = 0.693 / t 0.5 = 0.1 h-1
Vd = X° / Cp° = 5 L
CL = K x Vd = 0.5 L/h

3x14=42/2=21

The answer ( D )
1172/74.6

The answer ( D )

The answer ( C )

140x0.9/1=126mg
126x5/50=12.6

The answer ( B )
10x750/5x60

The answer ( C )
Flow rate = (Drop factor X volume)/ Time in minutes

500x60x250/400000=18.75

The answer ( B )
5t1/2=5x3=15

The answer ( B )

70x500/100=350

The answer ( C )

‫نص‬

The answer ( C )
WT=36X20=720X4X5=14400MG
14400X5\200=360

The answer (

250x10/100=25

The answer ( B )
ab=IV X ORAL/IV XOARAL
0.2 X340/20 X4=0.85X100=85%

The answer (B )

10KG X100ML=1000
3X50=150
1000+150=1150

The answer ( C )
The answer ( D )

The answer ( D )
Vd = X° / C° = 400 / 0.01 = 40000 ml = 40 L

2000000/1600

The answer ( B )
0.2X10/100=0.02X1000=20

The answer ( D )

The answer ( A )

The answer ( D )
200X100/1000=20MG

The answer ( B)

1172/74.6X100

The answer ( D )

The answer ( B ) 100X1.5/


(2.5X100=250)=60
5X150=750

The answer ( B)

20X1000=20000X1600

The answer ( D )

The answer ( D )
The answer ( A )

The answer ( A )

The answer ( B )
5x1/1000x15x60x24=108
108/80=1.35=1.4ml

The answer ( B )

The answer ( B )
12x0.95x70=

The answer ( D )

20x4=80x5=400/200=2x28
The answer ( D )

500/50=10/100=0.1

The answer ( A )
50/2.5=20ml
20x30=600/60=10
The answer ( B )

The answer ( B )

2.5x1.5/100=0.0375gmx1000
=37.5x60
The answer ( D )
18000x5/120

The answer ( D )

50x0.0535

The answer ( D )

The answer ( D )
The answer ( B )

The answer ( B )
The answer ( A )

The answer ( D )
The answer ( B )

The answer ( A )
Osmolarity = molarity x number of dissociated parteclis
For KCl 445 mg in 500 ml = 869 mg in 1000L /
74500=0.012x 2= 0.024 osmolar
For NaCl 468 mg in 500 ml = 936 mg in 1000 ml / 58500
= 0.016 x 2 = 0.032 osmolar
0.024 + 0.032 = 0.056
The answer ( C )

The answer ( C )

The answer ( B )
The answer ( D )

The answer ( D )

The answer ( A )
The answer ( C )
Total Mwt = 25 mg 318.04 g = 25 mg
Mwt of diclofenac = X mg 295.05 = X mg
X mg = 23.19

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