GAT-A Business and Engineering Quantitative MCQ's Test Preparation for Pakistani Students

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

If 4^x+5 = 8^x-1 , what is the value of x ?

• 3/5 A
• - 5/3 B
• - 3/5 C
• 4 D

If the radius of a circle is increased by 20% then the area is increased by:

• 14% A
• 120% B
• 144% C
• 40% D

• 20 A
• 17 1/2 B
• 35 C
• 12 1/2 D

What is the value of x² + 14x + 24, when x=854 ?

• 1000 A
• 100,000 B
• 741,296 C
• 742,398 D

• 50 A
• 30 B
• 45 C
• 40 D

The cube of 1/2 is:

• 1/4 A
• 1/8 B
• 1/2 C
• 1/16 D

If 81¹⁰ = 3^x-7 , what is the value of x ?

• 47 A
• 27 B
• 51 C
• 14 D

Find the value of x if 3 : b = x : c.

• 3b/c A
• c/3b B
• 2c/3b C
• 3c/b 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

4x/3

Column B

Y

x/y = 3/4

• A A
• B B
• C C
• D D

If a < c and a < b, assume a ≥ 0 then which of the following statements are always true ?

i. b < c

ii. a < bc

iii. 2a < b + c

• only 1 A
• only 2 B
• only 3 C
• 1 and 2 D

The tanneries claim that chemical waste dumps pose no threat to people living near them. If this is true, then why do they locate the plants in sparsely populated regions? By not locating the chemical dumps in densely populated areas the tanneries tacitly admits that these chemicals are potentially dangerous to the people living nearby.

Q:Which of the following, if true, would most weaken the author's argument?

• Funding through the environmental Super Fund to clean up poorly run waste dumps is reserved for rural areas only A
• Until chemical dumps are proven 100% safe, it would be imprudent to locate them were they could potentially do the most harm. B
• Locating the dumps in sparsely populated areas is less expensive and involves less government red tape C
• The potential for chemicals to leach into the water table has in the past been underestimated D
• People in cities are more likely to site the industry if their health is harmed by the drumps E

(a + b)(a - b) =

• a(a - b) - b(a - b) A
• a(b - a) + b(a - b) B
• a(a + b) - b(b + a) C
• a(a - b) + b(b - a) D

What fractional part of a week is 98 hours ?

• 7/98 A
• 7/12 B
• 1/20 C
• 1/7 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

0/√8

Column B

1

• A A
• B B
• C C
• D D

There are 28 players in a college cricket team. What is the probability that at least 3 of them have their birthday in the same month ?

• 0 A
• 1/5 B
• 1 C
• 1/2 D

• 100^o A
• 60^o B
• 80^o C
• 40^o D

The product of 313 with itself is:

• 97969 A
• 17.69 B
• 5536.97 C
• 195938 D

The Positive difference between k and 1/8 is same as the positive difference between 1/2 and 1/3. Which of the following could be the value of K?

• 1/7 A
• 7/24 B
• 23/24 C
• 1/6 D

• 4/π A
• 1/1 B
• 2/3 C
• 1/2 D

If 2m= 4x and 2w= 8x, what is m in terms of w?

• w - 1 A
• w + 1 B
• 2w - 1 C
• 2w + 1 D

• 3 + 4√3 A
• 18(3 + 4√3) B
• 54 C
• 84√3 D

The solution of the inequality -1 < 5x - 6 ≤ 4 in whole number is

• 1 A
• 2 B
• 4 C
• 5 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

x

^{Column B}

(11/13)⁵

x⁵ = 11/13

• A A
• B B
• C C
• D D

Most citizens are very conscientious about observing a law when they can see the reason behind it. For instance, there has been very little need to actively enforce the recently-Implemented law that increased the penalty for motorists caught leaving a gas station without paying for gas they had pumped into their vehicles. This is because citizens are very concerned about the high cost of gasoline and they know that stealing gas will only further increase the price of gasoline for everyone.

Q:With which of the following statements would the author of this passage be most likely to agree?

• The increased penalty alone is a significant motivation for most citizens to obey the law. A
• There are still too many inconsiderate citizens in the local community B
• High gasoline prices can be brought down if everyone does his or her part and pays for the gasoline they use at the pumps C
• Society should make an effort to teach citizens the reasons for its laws D

The average height of a class of 14 boys is 5.3 feet. A new boy is admitted to the class. The new average of height now becomes 5.25. What is the height of the new boy?

• 4.55 A
• 5.0 B
• 6.0 C
• 3.5 D

• 4 A
• 4.5 B
• 6 C
• 1.5 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

5/√6

Column B

5√2/√12

• A A
• B B
• C C
• D D

As any economist knows, healthy people pose less of an economic burden to society than unhealthy people. Not ,surprisingly, then, every rupee our government spends prenatal care for undocumented immigrants will save taxpayers of this country three rupees.

Q:Which of the following, if true, would best explain why the statistics cited above are not surprising?

• The taxpayers pay for prenatal care of all immigrants A
• Pregnant women who do not receive prenatal care are more likely to experience health problems than other pregnant women B
• Benefits for prenatal care serve to promote undocumented immigration C
• Babies whose mothers did not receive prenatal care are just as healthy as other babies D

More sports journals are sold in Horn by than in Milston. Therefore, the residents of Horn by are better informed about major sporting events than are the residents or Milston.

Q:Each of the following, if true, weakens the cor clu,on above EXCEPT:

• Horn by has a larger population than Milston A
• Most residents of Milston work in Horn by and buy their reading material there B
• The average newsstand price of journals sold in Horn C
• None of these D