1. Someone wishes to deduce the conclusion that there are at least two men in Calcutta who have exactly the same number of hair on their heads. He begins with a premise that there are more men in Calcutta than there are hair on the head of any person in the entire world(whether men or women). The desired conclusion can be validly deduced
a. From the original premise just as it stands
b. If we add a premise that no man in Calcutta is completely bald, but not from the original premise as it stands.
c. If we add the premise that there are at least as many men in Calcutta as women, but not from the original premise as it stands.
d. Only if we add the premise that no man in Calcutta is completely bald, but not from the premise as it exactly stands. e. Only if we add the premise that there are at least as many men in Calcutta as women, but not from the original premise as it stands.
2. Department stores range from two to eight floors in height .If a store has more than three floors, it has an elevator. If the statements above are true, which of the following must also be true?
a. Second floors do not have elevators
b. Seventh floors have elevators
c. Only floors above the third floors have elevators
d. All floors may be reached by elevators
e. Some two-floor department stores do not have elevators
3. A valid argument is often defined as one in which it is not possible for all the premises to be true and the conclusion false. A circular argument is sometimes defined as one on which one of the premises is identical to the conclusion. From these definitions we can infer that…
a. Every circular argument is valid
b. Every argument is circular.
c. No circular argument is valid
d. Some circular arguments are valid, and some are not.
e. Some circular arguments are not valid, and some valid arguments are not circular.
Questions 13 and 14 refer to the following scenario:
In a horse race involving six horses, three of the entries were Bag O’Bones, Cold Molasses, and Three-Leg Charlie. All six horses finished, one after the other.
1. No horse finished ahead of Cold Molasses, and no horse finished behind Bag O’Bones. Also, no horse finished between Cold Molasses and Three-Leg Charlie. Therefore,
a. Cold Molasses finished second or third.
b. Bag O’Bones came in fourth or better.
c. Three-Leg Charlie finished second or third.
d. Three-Leg Charlie may have finished first, but atleast he did not finish last. e. Bag O’Bones finished ahead of Cold Molasses.
1. Four horses finished between Bag O’Bones and Cold Molasses. Therefore,
a. Cold Molasses finished last.
b. Bag O’Bones finished second or third.
c. Bag O’Bones finished fifth.
d. Three-Leg Charlie did not finish last.
e. Either Bag O’Bones finished fifth, or Three-Leg Charlie came in third.
1. Administrators and executives are members of the most stable occupation. The stability mentioned in the above statement could be dependent on each of the following factors except
a. Training and skills.
b. Nature of the occupation.
c. Status
d. Relatively high income
e. Rate of turnover
1. A recent newspaper feature story listed several factors, as “predictors” of likelihood of premature death .Two of these factors were a sedentary life style without regular physical exercise, and sleeping more than 12 hours daily. If a person were to respond to this news by both joining as an exercise club and buying an alarm clock, that person would probably be
a. Mistaking an explanation for an argument
b. Mistaking an argument for an explanation
c. Mistaking a premise for a conclusion
d. Mistaking a cause for an indicator
e. Mistaking an indicator by a cause
1. Ellen : “All three of Shirley’s children have the measles!” Lois: “As a matter of fact, all three of Shirley’s children are fine!” Accepting the assumption that nobody who has measles is fine, which of the following is true about this exchange?
a. It is possible that both Ellen and Lois are right about Shirley’s children.
b. It is possible that both Ellen and Lois are mistaken about Shirley’s children.
c. Either Ellen is right about Shirley’s children, or Lois is right about them, but they are not both right.
d. Ellen and Lois might be both right about Shirley’s children, and they might both be wrong about them.
e. None of these alternatives correctly identifies the possibilities for this scenario.
I. Problem Solving Ability A. Part I : Problem Solving Ability [1 x 25 = 25 Marks]
1. A truck departed from Newton at 11:53a.m. and arrived in Far City, 240 miles away, at 4:41 p.m. on the same day. What was the approximate average speed of the truck on this trip?
a. 16/1,200 MPH b. 40/288 MPH c. 1,494/240 MPH d. 50 MPH
1. If m,n,o and p are real numbers, each of the following expressions equals m(nop) EXCEPT
a. (op)(mn) b. ponm c. (mn)(mo)(mp) d. (mp)(no)
1. If the ratio of women to men in a meeting is 4 to 1, what percent of the persons in the meeting are men? a. 20% b. 25% c. 33 1/3% d. 80%
1. Tom received 89, 94, 86, and 96 on the first algebra tests. What grade must he receive on his last test to have an average of 92? a. 92 b. 94 c. 91 d. 95
1. If the measures of the three angles of a triangle are (3x + 15), (5x-15), and (2x + 30), what is the measure of each angle? a. 75 b. 60 c. 45 d. 25
1. Which of the following equations can be used to find a number x, if the difference between the square of this number and 21 is the same as the product of 4 times the number? a. x - 21 = 4x b. x2- 21 = 4x c. x2 = 21-4x d. x + 4×2=21
1. Emile receives a flat weekly salary of Rs.240 plus 12% commission of the total volume of all sales he makes. What must his rupees volume be in a week if he is to make a total weekly of Rs.540? a. Rs.2,880 b. Rs.3,600 c. Rs.6,480 d. Rs.2,500
1. A and B undertake to do a work for Rs.56. A can do it alone in 7 days and B in 8 days. If with the assistance of a boy they finish the work in 3 days then the boy gets Rs.– a. 11 b. 45 c. 43 d. 21
1. A postal truck leaves its station and heads for Chicago, averaging 40mph. An error in the mailing schedule is spotted and 24 minutes after the truck leaves, a car is sent to overtake the truck. If the car averages 50mph. how long will it take to catch the postal truck? a. 1.6 hours b. 3 hours c. 2 hours d. 1.5 hours
1. In a class of 40 students, 30 speak French and 20 speak German. What is the lowest possible number of students who speak both languages? a. 5 b. 20 c. 15 d. 10
1. The value of B in the equation a = (h/2)(B+b) is
a. (2a - b)/h
b. 2h/a - b
c. 2a - b
d. 2a/h - b
1. 2. The perimeter of a square inscribed in the circumference of radius R is a. 4R b. 8R c. 2R(2)1/2 d. 4R(2)1/2
1. If R,S, and Q can wallpaper a house in 8 hours and R and S can do it in 12 hours, how long will it take Q alone to wallpaper the house ? a. 12 hours b. 24 hours c. 8 hours d. 20 hours
1. An old picture has dimensions 33 inches by 24 inches. What one length must be cut from each dimension so that the ratio of the shorter side to the longer side is 2:3? a. 2 inches b. 6 inches c. 9 inches d. 10 1/2 inches
1. In a group of 30 people the average height is 6 feet and 2 inches. Therefore, we can assume that 1. everyone is 6ft and 2 inches 2. most of the people are 6ft and 2 inches. 3. not all could be taller than 6ft and 2 inches. a. 2 only b. 3 only c. 1 and 2 only d. 1, 2 and 3
1. One wall being made entirely of bricks is 40% built. If we need 1,200 more bricks to complete the wall, how many bricks will the wall have ? a. 1,500 b. 1,800 c. 2,000 d. 2,400
1. In a College Bookstore where all books are the same price, a + b books are selling for Rs.1,000. Myron buys 12 books and for each one has a discount of Rs.1. How much does Myron need to pay ? a. [(a + b) - 1] x 12 b. [(a + b)/1000 - 1] x 12 c. [(1000/(a + b)) - 1] x 12 d. [a + b] x 1
1. A square is inscribed in a circle of area 18p. What is the length of a side of the square ? a. 6 b. 3 c. 3(2)1/2 d. 6(2)1/2 .
A box contains 6 red marbles and 4 blue marbles. What is the probability that if 2 marbles are simultaneously drawn from the box, both will be red ? a. 2/3 b. 1/3 c. 1/2 d. 1/5
1. If it is 250 kms from Delhi to Chandigarh and 120 kms from Delhi to Jaipur, what percentage of the distance from Delhi to Chandigarh is the distance from Delhi to Jaipur? a. 12 b. 24 c. 36 d. 48
1. A car goes 15 kms on a litre of petrol. When it is driven at 60 kms per hour it only goes 80% as far. How many litres of petrol will it take to travel 120 kms driving at 60 kms per hour? a. 2 b. 6.4 c. 8 d. 9.6
1. The solution of the equation 4 - 5(2y + 4) = 4 is a. 1.-2/5 b. 8 c. 4 d. -2
1. I went to Lucky Duck Casino and in the first game I lost one-third of my money, in the second game I lost half of the rest. If I still have Rs.1,000, how much money did I have when I arrived at the Casino? a. Rs.1,000 b. Rs.2,000 c. Rs.3,000 d. Rs.6,000 e.
1. For each Rupee spent by the sales department, the research department spends 20 paise. For every Rs. 4 spent by the research department, the packing department spends Rs.1.50. The triple ratio of the money spent by the sales department to the money spent by the research department to the money spent by the packing department can be expressed as a. 40 : 8 : 3 b. 20 : 4 : 1 c. 8 : 4 : 1 d. 1 : 1 : 5 e. 2 : 1 : 5
1. From the beginning to the end of 1996, the price of a rare book rose 20 percent. In 1997, it dropped 25 percent. In 1998, it rose 20 percent. What percent of 1996`s starting price is 1998`s starting price? a. 90 b. 95 c. 100 d. 108
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