Module 3: Pharmaceutical Calculations - Practice Questions - PACOP Green

C

How many milliliter of U-100 insulin should be used to obtain 50 units of insulin?

a. 5 mL b. 50 mL c. 0.5 mL d. 500 mL

A

How many drops would be prescribed in each dose of a liquid medicine if 20 mL contained 60 doses? The

dispensing dropper calibrates 35 gtts per mL.

a. 12 gtts b. 15 gtts c. 8 gtts d. 23 gtts

B

How many milligrams of a drug will be needed to prepare 74 dosage forms if each is to contain 1/10 grain?

a. 58 mg b. 480 mg c. 4800 mg d. 4.8mg

D

If a pint of a certain liquid weighs 9200 grains, what is the specific gravity of the liquid?

a. 1.0 b. 1.32 c. 1.276 d. 1.26

B

How many grams of dextrose are required to prepare 4500 L of a 5% solution?

a. 80,000 g b. 225,000g c. 4 f3 d. 8 f3

B

How many grams of a drug substance should be dissolved in 250 mL of water to make a 5% (w/w) solution?

a. 9.6 g b. 13.16 g c. 60 g d. 10 g

A

Convert 5% to mg/mL:

a. 50 mg/mL b. 500 mg/mL c. 5000 mg/mL d. 5 mg/mL

B

In what proportion should alcohols of 90% and 50% strengths should be mixed to make 70% alcohol?

a. 3 parts / 5 parts

b. 1 part / 1 part

c. 5 parts / 4 parts

d. 4 parts / 5 parts

A

How many milliliters of two liquids with specific gravities of 0.950 and 0.875 should be used to prepare 1500 mL of a

liquid having a specific gravity of 0.925?

a. 1000 mL (sp gr 0.950) c. 500 mL (sp gr 0.950)

500 mL (sp gr 0.875) 1000 mL (sp gr 0.875)

b. 2250 mL (sp gr 0.950) d. 1125 mL (sp gr 0.950)

1125 mL (sp gr 0.875) 2250 mL (spgr 0.875)

A

Zinc chloride is a three-ion electrolyte, dissociating 80% in a certain concentration. Calculate its dissociation factor

(I):

a. 2.6 b. 1.6 c. 2.9 d. 3

A

If 10 mg of a drug are added to a 500 mL large-volume parenteral fluid, what should be the rate of flow, in mL/hour,

to deliver 1 mg of drug per hour?

a. 50 mL/hour b. 20 mL/hour c. 500 mL/hour d. 5 mL/hour

B

How many milliequivalents are there in 15 mL of a 50% MgSO4 solution? (mol. Wt. 246)

a. 6.097 mEq b. 60.97 mEq c. 6.96 mEq d. 69.7 mEq

B

You are directed to weigh 10 grams of a substance so as to limit the error to 0.2%. Calculate the maximum potential

error, in terms of grams, that you would not be permitted to exceed.

a. 0.05 g b. 0.02 g c. 0.002 g d. 0.2 g

B

A prescription is to be taken as follows: 1 tablet q.i.d. the first day; 1 tablet t.i.d. the second day; 1 tablet b.i.d. x 5 d;

and 1 tablet q.d. thereafter. How many tablets should be dispensed to equal a 3-day supply?

a. 18 tablets b. 40 tablets c. 22 tablets d. 47 tablets

B

Tetracycline has been shown to form a calcium complex in bone-forming tissue in infants given oral tetracycline in

doses of 0.011 g/lb body weight every 6 hours. Express the dose in terms of milligrams per kilogram of body

weight.

a. 5 mg/Kg b. 24.2 mg/Kg c. 25 mg/Kg d. 11 mg/Kg

A

How many colchicines tablets, each containing 600 mcg, may be prepared from 30 g of colchicines?

a. 50,000 tablets

b. 20,000 tablets

c. 20 tablets

d. 50 tablets

D

Digitoxin is available for parenteral pediatric use in a concentration of 0.1mg/mL. How many milliliters would provide

dose of 40 mcg?

a. 0.04 mL b. 40 Ml c. 40 mL d. 0.4 mL

A

Nitrostat Sublingual tablets are available as 1/200-gr tablets. What is the approximate equivalent in

milligrams?

a. 0.325 b. 0.077 c. 0.005 d. 0.65

D

Four thousand (4000) nanograms equals 4:

a. centigrams b. grams c. milligrams d. micrograms

B

If a physician prescribed 4 grams of aspirin to be taken by a patient daily, about how many 5-grain tablets should the

patient take each day?

a. 10 tablets b. 12 tablets c. 15 tablets d. 8 tablets

B

he prophylactic dose of riboflavin is 2 mg. How many micrograms of riboflavin are in a multiple vitamin

capsule containing 1/5 the prophylactic dose?

a. 500 mcg b. 300 mcg c. 5000 mcg d. 200 mcg

A

A commercial package contains thirty-six 200-mg tablets of ibuprofen. How many kilograms of ibuprofen

were used in the manufacture of 1000 packages of product?

a. 7.2 Kg b. 5 Kg c. 7.8 Kg d. 6.9 Kg

B

How many grams of ethyl estradiol are needed to prepare 2,500 tablets, each containing 50 mcg of the medicinal

substance?

a. 1.25 g b. 12.5 g c. 0.125 g d. 125 g

A

Pico denotes _____ of the basic unit:

a. 10-12

b. 10-15

c. 10-18

d. 10-10

A

1 milliliter is 1,000x greater than:

a. microliter b. picoliter c. nanoliter d. liter

C

Sudafed cough syrup contains 0.09 g of dextromethorphan hydrobromide in each fluidounce. How many milligrams

of this agent would be present in each teaspoonful dose?

a. 10 mg b. 12 mg c. 15 mg d. 20 mg

D

The usual dose of digoxin for rapid digitalization is a total of 1.0 mg, divide into two or more portions at

intervals of 6 to 8 hours. How many milliliters of digoxin elixir containing 50 mcg/ mL would provide this dose?

a. 15 mL b. 10 mL c. 25 mL d. 20 mL

A

The dose of beclamethasone, an aerosolized inhalant, is 200 cg twice daily. The commercial inhaler delvers 50

mcg per metered inhalation and contains 200 inhalations. How many inhalers should be dispensed to a patient if a

60-day supply is prescribed?

a. 3 b. 2 c. 4 d. 5

B

If a physician prescribed Keflex, 250 mg q.i.d. x 10 days, how many milliliters of Keflex suspension containing 250

mg per 5 mL should be dispensed?

a. 250 mL b. 200 mL c. 150 mL d. 100 mL

A

Terpin hydrate and codeine elixir contains 60 mg of codeine per 30 mL. How much additional codeine should be

added to 180 mL of the elixir so that each teaspoonful will contain 15 mg of codeine?

a. 180 mg b. 200 mg c. 170 mg d. 190 mg

C

The directions intended for the patient on a prescription read 1 Tbsp a.c. and h.s. for 10 days. What is the minimum

volume the pharmacist should dispense?

a. 200 mL b. 150 mL c. 600 mL d. 450 mL

A

If the cost of human growth hormone is P40/mg q 4 h six times daily. How many will a 180-lb patient receive daily?

a. 12 mg b. 164 mg c. 650 mg d. 980 mg

C

The pediatric dose of cefadroxil is 30mg/Kg/day. If a child was given a daily dose of 2 teaspoonfuls of pediatric

suspension containing 125 mg of cefadroxil per 5 mL, what was the weight, in pounds, of the child?

a. 19 lbs b. 17.3 lbs c. 18.3 lbs d. 18.5 lb

A

A Ferrous Sulfate syrup contains 220 mg of FeSO4.7H2O per teaspoon dose. How many milligrams of elemental

iron are present in the dose? (mol wt FeSO4.7H2O = 278; at. Wt. of Fe = 55.9, s = 32.1, O = 16, H = 1.0)

a. 44 mg b. 50 mg c. 88 mg d. 100 mg

A

An antacid tablet contains 80 mg off dried aluminum hydroxide gel and 20 g of magnesium trisilicate. How many

kilograms of aluminum hydroxide gel are required to manufacture 250000 bottles of the product, each containing 100

tablets?

a. 2000 Kg b. 20,000 Kg c. 200 Kg d. 8000 Kg

B

An estradiol transdermal system contains in each skin patch 4 mg of estradiol and 0.3mL of alcohol. How many

liters of alcohol would be required to manufacture a half-million patches?

a. 15 L b. 150 l c. 1,500 L d. 300 L

A

From the ff. formula:

Benzyl benzoate 250 mL

Triethanolamine 5 mL

Purified water, to make 1000 mL

Calculate the quantity of benzyl benzoate required to make 6 fl. Oz. of benzyl benzoate lotion.

a. 45 mL b. 40 mL c. 4.5 mL d. 25 mL

B

If 150 mL of polyethylene glycol 400 weighs 74.1 g, what is its specific gravity?

a. 0.88 b. 0.494 c. 2.35 d. 1.3

C

A sunscreen lotion contains 5 g of methyl salicylate (sp gr 1.045) per 1000 mL. How many milliliters of

methyl salicylate should be used in preparing 1 gallon of the lotion?

a. 189.25 mL b. 197.77 mL c. 181.10 mL d. 190 mL

D

Cocoa butter, which is solid at room temperature and melts at 34°C, has a specific gravity of 0.86. If a formula calls

for 48 mL of theobroma oil, what would be the corresponding weight of cocoa butter to use?

a. 40 g b. 55.81 g c. 50 g d. 41.3 g

D

A formula for a mouth rinse contains 1/10% (w/v) of zinc chloride. How many grams of zinc chloride should be used

in preparing 25 liters of the mouth rinse?

a. 35 g b. 30 g c. 20 g d. 25 g

C

If a pharmacist dissolves the contents of 8 capsules, each containing 250mg of clindamycin hydrochloride, into a

sufficient amount of Ionex Astringent to prepare 120 mL of solution, what is the percentage strength (w/v) of

clindamycin hydrochloride in the prescription?

a. 1% b. 1.5% c. 1.67% d. 2%

B

If an intravenous dose of mannitol is 1.5% (w/v) sodium chloride solution can be made from 1 lb of sodium chloride?

a. 50,444 mL b. 30,000 mL c. 50,400 mL d. 1,000 mL

C

If 10 mL f a nitroglycerin injection (5mg of nitroglycerin per milliliter) are added to make a liter of intravenous fluid,

what is the percentage (w/v) of nitroglycerin in the final product?

a. 0.025% b. 0.05% c. 0.005% d. 0.0005%

A

How many milliliters of resorcinol monoacetate should be used to prepare 1 pint of a 15% (v/v) lotion?

a. 71 mL b. 65 mL c. 76 mL d. 69 mL

B

How many liters of a mouthwash can be prepared from 100 mL of cinnamon flavor if its concentration is to be 0.5%

(v/v)?

a. 10 L b. 20 L c. 15 L d. 18 L

C

One pound of a fungicidal ointment contains 9.08 g of undecylenic acid. Calculate the percentage (w/w) of

undecylenic acid in the ointment.

a. 1.81% b. 1.5% c. 2% d. 2.5%

B

A vaginal foam contains 0.01% (w/v) of dienestrol. Express this concentration as a ratio strength.

a. 1:100 b. 1:10,000 c. 1:1,000 d. 1:100,000

A

A sample of white petrolatum contains 10 mg of tocopherol per kilogram as a preservative. Express the amount of

tocopherol as a ratio strength.

a. 1:100,000 b. 1:1,000 c. 1:1,000,000 d. 1:10,000

B

Hepatitis B immune globulin is preserved with 1:10,000 (w/v) of thimerosal. If the dose of the injection is 0.06 mL/Kg

of body weight, how many micrograms of thimerosal would be contained in the dose for a 150-lb patient?

a. 400 mcg b. 409 mcg c. 415 mcg d. 450 mcg

C

What is the percent concentration of cholesterol in a patient's blood serum if the cholesterol level is determined to be

260 mg%?

a. 2.6% b. 26% c. 0.26% d. 0.026%

B

If a serum sample is determined to contain 270 mg/dL of cholesterol, what is the concentration of cholesterol (mol wt

386) in terms of millimoles per liter?

a. 6.5 mmol/L b. 6.9 mmol/L c. 69.9 mmol/L d. 5.66 mmol/L

A

A glucose meter shows that a patient's blood contains 125mg% of glucose. Express this value as mg/mL.

a. 1.25 mg/mL b. 12.5 mg/mL c. 125 mg/mL d. 0.125 mg/mL

C

If 250 mL of a 1:800 (v/v) solution are diluted to 1000 mL, what will be the ratio strength (v/v)?

a. 1:320 b. 1:3000 c. 1: 3,200 d. 1: 32,000 DNA

B

If 400 ml of a 20% (w/v) solution are diluted to 2 liters, what will be the percentage strength (w/v)?

a. 8% b. 4% c. 5% d. 2%

C

How many milliliters of water must be added to 250 mL of a 25% (w/v) stock solution of sodium chloride to prepare a

0.9% (w/v) sodium chloride solution?

a. 6,5100 mL b. 6,600 mL c. 6,694 mL d. 6,490 mL

C

How many milliliters of a syrup containing 85% (w/v) of sucrose should be mixed with 150mL of a syrup containing

60% (w/v) of sucrose to make a syrup containing 80% (w/v) of sucrose?

a. 500 mL b. 550 mL c. 600 mL d. 650 mL

D

How many milliliters of 95% (w/w) sulfuric acid having a specific gravity of 1.820 should be used in preparing 2 liters

of 10% (w/v) sulfuric acid?

a. 110 mL b. 120 mL c. 114 mL d. 116 mL

B

How many grams of zinc oxide should be added to 3,400 g of a 10% zinc oxide ointment to prepare a product

containing 15% of zinc oxide?

a. 150 g b. 200 g c. 250 g d. 210 g dipole

A

How many grams of petrolatum (diluent) should be added to 925 g of zinc oxide paste to prepare an ointment

containing 6% of coal tar?

a. 59 g b. 60 g c. 50 g d. 55 g

D

Four equal amounts of belladonna extract, containing 1.15%, 1.30%, 1.35% and 1.20% of alkaloids respectively,

were mixed. What was the percentage strength of the mixture?

a. 1.2% b. 1.4% c. 1.5% d. 1.25%

A

How many milliliters of a 2% (w/v) solution of lidocaine hydrochloride should be used in preparing 500 mL of a

solution containing 4 mg of lidocaine hydrochloride per milliliter of solution?

a. 100 mL b. 150 mL c. 250 mL d. 120 mL

D

How many milliliters of a 37% (w/v) concentrate of saline solution should be used in preparing 750 mL of a solution

such that 10 mL diluted to a liter will yield a 9% solution?

a. 225 mL b. 156.5 mL c. 67.5 mL d. 182.4 mL

C

How many milliliters of a 23.5% (w/v) concentrate of sodium chloride solution should be used in preparing 650 mL of

a stock solution such that 30 mL diluted to a liter will yield a 1:5000 solution?

a. 0.2 mL b. 4.33 mL c. 18.44 mL d. 11.75 mL

A

A 35-mL aliquot was obtained from a mixture of 98% unknown solution. If half the sample is diluted to 100 mL, what

is its final concentration?

a. 17.15% b. 2.94% c. 280.0% d. 34.3%

B

Prepare 30% alcohol cooling sponge from 1 pint of 70% isopropyl rubbing alcohol using the whole bottle.

a. add 500 ml of distilled water to 1 pt of 70% alcohol

b. add 656.6 ml of distilled water to 1 pt of 70% alcohol

c. add 333.33 ml of distilled water to 1 pt of 70% alcohol

d. add 200 ml of distilled water to 1 pt of 70% alcohol

A

Rx

Procaine hydrochloride 1%

Sodium chloride q.s.

Sterile water for injection ad 100.0

Make isoton. Sol.

Sig. for injection

How many grams of sodium chloride should be used in compounding the prescription? (NaCl equivalent of procaine

HCl is 0.21)

a. 0.690 g b. 0.5 g c. 0.6 g d. 0.65 g

A

What is the concentration, in milligrams per milliliter, of a solution containing 5 mEq of potassium chloride (KCl) per

milliliter?

a. 372.5 mg b. 375 mg c. 370 mg d. 368.5 mg

C

Calculate the sodium (Na) content, in terms of mEq, of 1 g of ampicillin sodium (C16H18N3NaO4S, mol wt 371)

a. 2.5 mEq b. 2.8 mEq c. 2.7 mEq d. 3 mEq

A

Ammonium chloride (NH4Cl, mol wt 53.5) is to be used as a urinary acidifier with a dose of 150 mEq. How many

500 mg tablets should be administered?

a. 16 tablets b. 20 tablets c. 15 tablets d. 13 tablets

A

A physician places a patient on a daily dose of 60 units of u-80 units' insulin. How many ml should the patient inject

each day?

a. 0.75 b. 1.33 c. 0.6 d. 0.5

A

Give anti-diphtheria serum 6000 U by intramuscular 2injections to a patient. The patient stock is 10000 U/ 5mL vial.

How many mL are you going to inject?

a. 3 mL b. 5 mL c. 2 mL d. 1 mL

C

A jar of cleansing cream is sold for P7.50, thereby yielding a gross profit of 60% on the cost. What did it cost?

a. P5.00 b. P4.00 c. P4.69 d. P4.50

A

A pharmacist buys 20,000 tablets for P4000.00 with discounts of16% and 2%. At what price per 10 must the tablets

be sold to yield a gross profit of 40% on the selling price?

a. P27.50 b. P25.50 c. P27.00 d. P28.00

D

A prescription item costs a pharmacist P122.00. Using a markup of 25% on the cost plus a professional fee of

P50.00, calculate the prescription price.

a. P200.00 b. P250.00 c. P215.00 d. P202.50

B

A saturated solution of sodium chloride boils at 227.1°F. What is its boiling point on the centigrade scale?

a. 100°C b. 108.24°C c. 105°C d. 107°C

A

A manufacturing pharmacist received a drawback of P1500 on the alcohol that was used during a certain period. If

the drawback on alcohol is P12.50 per proof gallon, how many wine gallons of95% alcohol were used during the

period?

a. 63.2 b. 60 c. 58 d. 65

A

160 proof strength alcohol is equivalent to:

a. 80% b. 320% c. 100% d. all of the above

D

What is the solubility of anhydrous chemical if 100 g of a saturated aqueous solution leaves a residue of 25 g after

evaporation?

a. 1:5 b. 1:4 c. 1:2 d. 1:3

B

A formula for a dermatologic cream calls for a 15 g of an emulsifier blend consisting of Tween 20 and Span 40. If the

required HLB is 11.70, how many grams of each emulsifier should be used in emulsifying the cream? (HLB of

Tween 20 is 16.7 and Span 40 is 6.7)

a. 5 g Tween 20 and 10 g Span 40

b. 7.5 g Tween 20 and 7.5 g Span 40

c. 2.5 g Tween 20 and 12.5 g of Span 40

d. none of the above

B

How many 1-fluidounce bottles of lagundi syrup can e prepared form 5 gallons of the syrup?

a. 740 b. 640 c. 639 d. 540

B

A formula for a cough syrup contains 1/8 grain f codeine phosphate per teaspoonful. How many grams of

codeine phosphate should be used to prepare a quart of the cough syrup?

a. 1.75 g b. 1.54 g c. 1.84 g d. 2.54 g

C

The inhalant dose of amyl nitrite is 0.18 mL. Express the dose in minims.

a. 4 m b. 2 m c. 3 m d. 5 m

A

A patient weighing 8 lbs is prescribed 2mEq/kg/day of potassium chloride (mol wt 74.5). How many mg of

potassium chloride will be administered to the patient per day?

a. 541.8 b. 538 c. 436.4 d. 648

D

How many grams of sodium chloride (mol wt 58.5) should be used to prepare 1 gallon of an isotonic solution?

a. 24 b. 28 c. 32 d. 34.1

A

A sterile solution of potassium chloride ( mol wt 74.5) contains 2 mEq/ mL. If a 20-ml ampoule of the solution

is diluted to 1 liter, what is the percentage strength of the resulting solution?

a. 0.298 b. 0.124 c. 1.298 d. .3241

B

How many milliliters of a 3% (w/v) solution of ammonium chloride (mol wt 53.5) should be administered

intravenously to provide 50 mEq?

a. 99.2 b. 89.2 c. 69.2 d. 79.2

A

An initial dose of not less than 150 units/kg of body weight has been recommended for open heart surgery.

How many mL of an injection containing 5000 heparin units per mL should be administered to a 300-lb

patient?

a. 4.1 mL b. 4.1 microliter c. 5.1 mL d. 5.1 microliter

A

Acetazolamide sodium is available in 500-mg vials to be reconstituted to 5 mL with sterile water for injection prior to

use. The dose of the drug for children is 5mg/ kg of body weight. How many mL of the injection should be

administered to a child weighing 25 lbs?

a. 0.57 mL b. 0.52 mL c. 0.50 mL d. 0.54 mL

A

Rx

Dextrose anhydrous 25%

Sodium chloride q.s.

Sterile water for injection ad 1000mL

Label: Isotonic Dextrose and Saline Solution.

How many grams of sodium chloride should be used in preparing the solution? The sodium chloride equivalent of

dextrose anhydrous is 0.18.

a. 4.7 g b. 4.2 g c. 4.5 g d. 4.0 g

A

Rx

Zinc sulfate 0.06

Boric acid q.s.

Purified water ad 30.0

Make isoton. Sol.

How many grams of boric acid should be used in compounding the prescription? The sodium, chloride

equivalents of zinc sulfate and boric acid are 0.16 and 0.52, respectively.

a. 0.50 g b. 0.45 g c. 0.59 g d. 0.30 g

C

In using isoproterenol hydrochloride solution (1:5000 w/v), 1 mL of the solution is diluted to 10 mL with

sodium chloride injection prior to IV administration. What is he percentage concentration of the diluted

solution?

a. 0.001 b. 0.005 c. 0.002 d. 0.008

B

How many grams of lactose should be added to 80 g belladonna extract assaying 2.5% (w/w) of alkaloids to reduce

its strength to 1.4%?

a. 52.5 b. 62.8 c. 42.8 d. 60.2

A

If 500 mL of mineral oil which has a specific gravity of 0.87, is used to prepare 2 pints of mineral oil emulsion, how

many g of the oil would be used to prepare 1 gallon of the emulsion?

a. 1740.4 b. 1430.4 c. 1750.4 d. 1741.4

A

A perfume oil has a specific gravity of 0.960 and costs P776.25 per kg. How much would 5 fluidounces cost?

a. P110.15 b. P111.15 c. P109.15 d. P 180.15

A

If 800 g of a 5% coal tar ointment is mixed with 1200 g of a 10% coal tar ointment, what is the concentration of coal

tar in the finished product?

a. 8% b. 8.5% c. 9% d. 9.5%

A

How many mL of a 5% (w/v) solution of lidocaine hydrochloride should be used in preparing 500 mL of a solution

containing 25 mg of lidocaine hydrochloride per mL of solution?

a. 250 mL b. 260 mL c. 240 mL d. 270 mL

C

In what proportion should 10% and 2% coal tar ointments be mixed to prepare a 5% ointment?

a. 3:7 b. 2:5 c 3:5 d. 2:3

D

How many g of isoflurophate are contained in 15 g of a 1:10,000 ophthalmic solution of isoflurophate in peanut oil?

a. 1.8 mg b. 1.9 mg c. 1.7 mg d. 1.5 mg

B

The normal range of specific gravity of urine is about 1.003 to 1.030. Using 5-mL urine samples, what would be

the difference in weight, in mg, between these extremes?

a. 145 mg b. 135 mg c. 136 mg d. 155 mg