GAT-B Arts, Humanities and Social Science Quantitative MCQ's Test Preparation for Pakistani Students

What is the probability of getting all six in a single throw of three unbiased dice?

• 1/6 A
• 125/216 B
• 1/36 C
• 1/216 D

Clarinet reeds often lose their freshness - become less responsive - after a few weeks of intense use. One clarinetist has hypothesized that a buildup of oil, rather than changes in the material properties of the reed, were responsible.

Q:Which of the following investigations is most likely to yield significant information that would help to evaluate the hypothesis?

• Determining what kind of wood is used to make the reeds used by jazz clarinetists A
• Determining whether jazz clarinetists make their reeds lose their freshness faster than do classical clarinetists B
• Determining whether identical lengths of reeds, of the same thickness, lose their freshness at different rates when put onto various brands of clarinets C
• Determining whether rubbing various substances on the new reed causes them to lose their freshness. D

Excavations on the now uninhabited isle of Kelton reveal a scene typical of towns decimated by volcanic ash. Archaeologists have hypothesized that the destruction was due to volcanic activity known to have occurred in the vicinity of the island in 160 B. C.

Q:Which of the following, if true, most strongly supports the archaeologist's' hypothesis?

• No coins minted after 160 B.C. were found in Kelton, but coins minted before that year were found in abundance A
• Pieces of gold and pearl jewelry that are often found in graves dating from years preceding and following 160 B.C. were also found in several graves on the island. B
• Most modern histories of the region mention that several major volcanoes eruptions occurred near the island in 160 B.C
  C
• Several small jugs carved in styles popular in the region in the century between 200 B.C. and 100 B.C. were found in Kelton
  D

If the mean (average) of 6 numbers is 4.5. What is the sum of the numbers ?

• 0.75 A
• 10.5 B
• 12 C
• 27 D

The total number of even prime numbers is:

• 0 A
• 1 B
• 2 C
• None of these D

If 1/x +1/y = 1/z and xy = z, what is the average of x and y ?

• 1/2 A
• 1 B
• x + y + z/3 C
• x + y + z/2 D

A chemical solution contains 8% of acid. If there is 15 ml of acid, what is the volume of the solution ?

• 125.5 ml A
• 187.5 ml B
• 225.5 ml C
• 171.5 ml D

• 3√3 A
• 36√3 B
• 81 C
• 81√3 D

If the ratio of x and y is 11/3, what is the value of 2x to y ?

• 11/6 A
• 22/6 B
• 22/3 C
• 11/5 D

How many tens are equal to the number whose hundreds, tens, and units digits are a, b, and c respectively?

• b A
• a+1/10 b + 1/100 c B
• 10a + b + c C
• 10a+b+c/10 D

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

The average (arithmetic mean) of the measures of the three angles of an equilateral triangle.

Column B

The average (arithmetic mean) of the measure of the three angles of a right triangle.

• A A
• B B
• C C
• D D

A poster in an eye clinic advises people, who have received eye drops X that blur vision, refrain from driving until they can do so safely. In a Gov't initiated hospital study, however, subjects questioned immediately after they received such drops and underestimated the time necessary to regain their driving ability. This result indicates that many people with eye drops X will be unlikely to follow the advice.

Q:Which of the following, if true, most strongly supports the argument above?

• Many people, if they know they will receive eye drops X, make arrangements beforehand for a friend or relative to drive them home A
• The subjects in the hospital study generally rated their abilities more conservatively than they would if they were outside the framework of a scientific experiment B
• Some people ask their doctors not to give them eye drops X that blur vision if they will have to drive to get home afterward C
• The subjects in the study were also questioned about the time necessary to regain abilities that do not play an important role in driving safely D

If the length of a rectangle is 4 times its width, and if its area is 196, what is its perimeter ?

• 60 A
• 28 B
• 35 C
• 70 D

The average height of five men is 68 inches.If one man is 70 inches tall and three others have an average of 67 inches, the height of the fifth man, in inches, is

• 68 A
• 69 B
• 70 C
• 71 D

If P²+ 5 = 22, then P²- 5 =

• 12 A
• 17 B
• 39 C
• 144 D

If 5x + 12 = 44, what is the value of 5x - 12 ?

• 24 A
• 32 B
• 20 C
• 22 D

Fatima and Maryium each roll a sheet of 9 × 18 paper to form a cylinder. Fatima tapes the two 9-inch edge together and Maryium tapes the two 18-inch edge together. Refer to this question and tell which of the following statement is true ?

• The volume of Fatima cylinder is greater than Maryium cylinder A
• The volume of Fatima cylinder is less than Maryium cylinder B
• The volume of Fatima cylinder is equal to the Maryium cylinder C
• Both cylinders have the same circumference D

A square lawn having area 0.25 sq km has to be enclosed with iron railings at the rate of Rs. 10100 per metre. What will be its cost ?

• Rs. 20200 A
• Rs. 2000 B
• Rs. 202000 C
• Rs. 100100 D

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

The average (arithmetic mean) of the even numbers between 1 and 13

Column B

The average (arithmetic mean) of the odd numbers between 2 and 14

• A A
• B B
• C C
• D D

When 4 dice are thrown, what is the probability that the same number appears on each of them?

• 1/36 A
• 1/18 B
• 1/216 C
• 1/5 D