Quantitative Reasoning
Biology
Chemistry
Physics
Random
100

Which of the following describes all values of x that are solutions to the inequality |x + 2| > 6?

A. x > 4 

B. x > 8 

C. x < - 8 or x > 4 

D. x > 4 or x > 8 

E. -8 < x < 4

C. x < - 8 or x > 4

100

If one parent has the genotype AABb and the other has the genotype AaBB, what is the chance of a child being homozygous recessive for both traits?

0%

100

A student wishes to dilute a 0.5 M solution to 0.1 M. If the final volume of the diluted solution is to be 100 mL, how much of the original solution should be diluted?

20 mL

100

What happens to the entropy of a solid when it is dissolved in a solvent?


A. It increases.

B. It decreases.

C. It remains the same.

D. It decreases then increases.

E. It increases then decreases.


A. It increases

100

Which of the following is most nearly equal to 479.93/.00598?


A. 80,000

B. 90,000

C. 8,000

D. 9,000

E. 802.6


A. 80,000

We can approximate .00598 as .006 to make our division easier.

200

If x≠ 0 and xy + 1 = (x + 1)(y +1), then y⁄x + 1 =


A. -1

B. y + 1⁄x + 1

C. x⁄y - 1

D. 0

E. 2


D. 0

The equation can be simplified to 0= x + y, so y/x must be negative 1. One minus one is zero.

200

Not essential for blood clotting is (are) 

A. Na+ ions. 

B. Ca2+ ions.

 C. prothrombin.

 D. vitamin K. 

E. platelets.

A. Na+ ions 

Water follows salt. Water =/= clotting

200

Which of the following statements is true of ethene? 

A. Both carbon atoms are sp2 hybridized and the molecule is planar.

B. Both carbon atoms are sp2 hybridized and all bond angles are approximately 109.5°.

C. One carbon atom is sp hybridized while the other is sp2.

D. Both carbon atoms are sp3 hybridized and all bond angles are approximately 109.5°.

E. Both carbon atoms are sp hybridized and the molecule is planar.

Both carbon atoms are sp2 hybridized and the molecule is planar.

200

In specular reflection, what is the relationship between the angle of incidence and the angle of reflection?

A. The angle of incidence is double the angle of reflection

B. The angle of incidence is a quarter of the angle of reflection.

C. The angle of incidence is half of the angle of reflection.

D. The angle of incidence is equal to the angle of reflection.


D. The angle of incidence is equal to the angle of reflection.

200

All of the following are enzymes that digest proteins EXCEPT:


A. Carboxypeptidase

B. Pepsin

C. Trypsin

D. Chymotrypsin

E. Amylase


E. Amylase

Amylase breaks down carbohydrates and comes from pancreatic enzymes and saliva.

300

-r⁄4 = 55% of 44; r = ?


A. -2420

B. -320

C. -96.8

D. -9680

E. -24.2


C. -96.8

300

Which germ layer of the human embryo gives rise to the lining of the esophagus?



A. Ectoderm

B. Endoderm

C. Mesoderm

D. Neurula

E. Placenta


Endoderm

300

Which of the following is the weakest base in an aqueous solution? A. OH-
B. NH2-
C. HSO4-
D. CH3COO-
E. NH3

C. HSO4-


"Which of the following has the strongest conjugate acid?"  

300

Use Ohm's law, V = IR, where V is the voltage across the conductor, I is the current flowing through the conductor and R is the resistance provided by the conductor to the flow of current. If the current is 0.75 A and the battery voltage is 9 V, what is the total resistance in ohms? 

A. 14 Ω

B. 6.75 Ω

C. 12 Ω

D. 9 Ω

C. 12 Ω

300

Which of the following is a pyrimidine?

A.

B.

C.

D.

E.

The answer is D!

Choice A is almost, but not quite, the general structural formula for a steroid; it differs from the standard steroidal ring structure in that the ring on the far right has six carbons instead of five. Choices B and E, known as quinoline and pyridine respectively, each have just one nitrogen atom and thus fail to meet the definition of a pyrimidine. Choice C is purine, another essential component of nucleic acids.

400

Evaluate 2⁄x + 5⁄y⁄x⁄4 + y⁄7 when x = 3 and y = 6.

14/15

400

Which of the following associations is correct? 

 A . Coelenterate : mesoderm

B. Annelid : ventral hollow nerve cord

C. Mollusk : chitinous exoskeleton

D. Platyhelminthes : circulatory system

E. Chordata : dorsal hollow nerve cord

Chordata: dorsal hollow nerve cord

400

How many resonance structures exist for the compound phenol shown below?

A. One

B. Two

C. Three

D. Four

E. Five 

E. Five

Resonance structures exist when bonds shift between similarly hybridized atoms (e.g. sp2) within the same molecule. These structures must not change the charge of the molecule.

All carbons in the molecule are sp2 hybridized. The oxygen is sp3 hybridized in the original image, but its position on the phenyl ring allows it to also become sp2 hybridized and undergo resonance stabilization with the rest of the ring. 

400

A car accelerates by an unknown value for 8 seconds. The car begins at rest and its final velocity is 52 m/s. What is the acceleration?


A. 6.5 m/s^2

B. 7 m/s^2

C. 5.5 m/s^2

D. 6 m/s^2


A. 6.5 m/s^2

The equation is velocity = initial velocity + acceleration * time.

400

Which part of the human eye provides most of the refraction for the light rays entering the eye?

A. The fovea centralis

B. The cornea

C. The vitreous 

D. The lens

B. The cornea

Since the transition from air into the cornea is the largest change of index therefore most of the refraction occurs at the surface of the cornea. The other parts of the eye have less change in index.

500

Suzanne picks 60% more apples than Sam in the same amount of time, and Bert picks 5% more than Suzanne in the same amount of time. If Bert picks apples for one hour and Sam picks apples for 1 1/2 hours, what is Bert's output expressed as a percentage of Sam's?

A. 66.67%
B. 112%
C. 150%
D. 168%
E. 336%

B. 112%

500

How does the production of a proton gradient aid in the production of ATP? 

A. It catalyzes the H+/ATP pump, which exchanges 1 ATP for every 3 H+ moved. 

B. It allows H+ to pass through ATP synthetases, which phosphorylate ADP into ATP. It helps oxidize NADH to NAD+, which creates ATP as a byproduct.

 C. It helps oxidize NADH to NAD+, which creates ATP as a byproduct. 

D. It increases the formation of water (H2O), which drives the ATP synthetase. 

E. It is a necessary component for the Na+/K+ pump, which generates ATP as it moves Na+ and K+ along their concentration gradients.

B. It allows H+ to pass through ATP synthetases, which phosphorylate ADP into ATP. It helps oxidize NADH to NAD+, which creates ATP as a byproduct

500

A general formula for para-substituted benzoic acids is shown below. The Ka of a particular para-substituted benzoic acid will be smallest when X is which of the following?

A. NH2

B. CHO

C. NO2

D. Cl

E. CH3

A. NH2

Recall that a smaller Ka corresponds to a weaker acid. Recall next that electron-withdrawing groups increase acid strength since they help to stabilize the anion formed upon dissociation, so a further translation is, "Which of the following is the least electron-withdrawing as a substituent?" Of the choices offered, B, C, and D are electron-withdrawing groups, while choices A and E are electron-donating.

500

If at a certain temperature, the resistivity of gold is 2 x 10^-8 and the resistivity of iron is 1 x 10^-7, which of the following would have the greatest total resistance?

A. 0.1 m gold resistor with an area of 0.01m^2       B. 0.2 m gold resistor with an area of 0.02m^2       C. 0.1 m iron resistor with an area of 0.01m^2         D. 0.2 m iron resistor with an area of 0.01m^2       E. 0.1 m iron resistor with an area of 0.02m^2

0.1 m iron resistor with an area of 0.02m^2

A larger surface area and shorter wire are more conductive. You can use this equation: Resistance = (resistivity x Length) / Area  

500

At 760 torr, solution X boils at 100.26 °C and solution Y boils at 101.04 °C. If both aqueous solutions contain the same nonvolatile solute, which of the following statements must be true?

A. The freezing point of solution X is lower than that of solution Y.

B. Solution Y is saturated.

C. The vapor pressure of solution X is higher than that of solution Y at 25 °C.

D. Solution X is hypertonic to solution Y.

E. The vapor pressure of solution X at boiling is greater than the vapor pressure of solution Y at boiling.

C. The vapor pressure of solution X is higher than that of solution Y at 25 °C.


Of the solutions named, solution Y has a higher boiling point than solution X at the given pressure. Since both solutions are aqueous and contain the same nonvolatile solute, it follows that solution Y is more concentrated  and thereby experiences a more significant boiling point elevation.

Vapor pressure is decreased by increasing solute concentration, so the vapor pressure above the less concentrated solution, solution X, will be greater than that above solution Y at the same temperature.

 

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