loafeihong/math_mmlu_format huggingface dataset:
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 50 revolutions. How many revolutions does the second wheel make in covering d feet? Answer Choice: (A) 50xy (B) 50y - x (C) 50x - y (D) 50y/x (E) 50x/y
Answer: E
How many 4-letter word with or without meaning can be formed out
of the letters of the word 'LOGARITHMS' if repetition of letters is
not allowed Answer Choice: (A) 2000 (B) 1000 (C) 5040 (D) 5000 (E) 500
Answer: C
Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 9% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest? Answer Choice: (A) 9:3 (B) 9:5 (C) 5:8 (D) 5:4 (E) 9:2
Answer: A
200 is what percent of 50?
. Answer Choice: (A) 0.2% (B) 2% (C) 5% (D) 400% (E) 500%
Answer: D
If 50 honey bees make 50 grams of honey in 50 days, then 1 honey bee will make 1 gram of honey in how many days? Answer Choice: (A) 1 (B) 3.5 (C) 20 (D) 49 (E) 50
Answer: E
A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is Answer Choice: (A) 6 (B) 12 (C) 22 (D) 52 (E) None
Answer: B
The average of first five multiples of 5 is: Answer Choice: (A) 9 (B) 15 (C) 17 (D) 8 (E) 10
Answer: B
The sum of the first 92 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive? Answer Choice: (A)  5,050 (B)  7,500 (C)  10,500 (D)  11,700 (E)  19,600
Answer: D
The third proportional to 1 and 3 is? Answer Choice: (A) 9 (B) 10 (C) 11 (D) 12 (E) 13
Answer: A
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $9,500, what is the bonds face value? Answer Choice: (A)  $6,000 (B)  $6,750 (C)  $7,425 (D)  $7,600 (E)  $9,375
Answer: D
One computer can upload 100 megabytes worth of data in 4 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 20 seconds. How long would it take for the second computer, working on its own, to upload 100 megabytes of data? Answer Choice: (A)  6 (B)  2.5 (C)  9 (D)  11 (E)  13
Answer: B
Suresh age after 15 years will be 5 times his age 5 years back, What is the present age of Suresh Answer Choice: (A) 15 (B) 10 (C) 14 (D) 8 (E) 7
Answer: B
The difference between the length and breadth of a rectangle is 60 m. If its perimeter is 300 m, then its area is: Answer Choice: (A) 1520 m2 (B) 2420 m2 (C) 4258 m2 (D) 4725 m2 (E) None
Answer: D
Which of the following are roots of an equation (x^-2)+(4x^-1)-5=0 Answer Choice: (A) 1/5 and -1 (B) -1/5 and 1 (C) 1/5 and 1 (D) -1/5 and -1 (E) -5/2 and -1
Answer: B
A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 11% profit. He gains 10 % on the whole. Find how much is sold at 7% profit? Answer Choice: (A) 70 lbs (B) 40 lbs (C) 25 lbs (D) 50 lbs (E) 60 lbs
Answer: C
When x is divided by y, the quotient is z with remainder v. Which of the following is equal to v? Answer Choice: (A) yz – x (B) y/x−z (C) x – y – z (D) x – yz (E) zx – y
Answer: D
84/12/0.8 = ? Answer Choice: (A) 8.17 (B) 7.14 (C) 6.23 (D) 4.35 (E) 8.75
Answer: E
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many Y acres were used for corn? Answer Choice: (A)  188 (B)  258 (C)  376 (D)  470 (E)  517
Answer: C
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = f is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-f, -k), then what are the coordinates of the point P? Answer Choice: (A) (-5f, -5k) (B) (-3f, -3k) (C) (2f, 2k) (D) (3f, 3k) (E) (5f, 5k)
Answer: D
There are 5 red balls, 7 blue balls, 6 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color? Answer Choice: (A) 10 (B) 23 (C) 43 (D) 40 (E) 24
Answer: E
A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 8 less, he would have made a profit of 10%. The C.P. of the article was Answer Choice: (A) 1600 (B) 1500 (C) 1200 (D) 1388 (E) 1211
Answer: A
A students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x? Answer Choice: (A) 3 (B) 7 (C) 17 (D) 31 (E) 38
Answer: B
If the class marks in frequency distribution weights of students be 128, 137, 146, 155, 164, 173 and 182 kgs then the first class boundary is Answer Choice: (A) 123.8 (B) 123.7 (C) 123.5 (D) 223.5 (E) 1222.2
Answer: C
A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 70 extra yellow balls and making ratio of white balls to yellow balls 8/13. How many tennis balls did the retailer order originally. Answer Choice: (A) 180 (B) 130 (C) 140 (D) 160 (E) 224
Answer: E
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate? Answer Choice: (A) Rs. 2160 (B) Rs. 3120 (C) Rs. 3972 (D) Rs. 6240 (E) Rs. 5240
Answer: C
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1.5 screws and 4.5 nails? Answer Choice: (A) a. 4 (B) b. 5/2 (C) c. 2 (D) d. 3/2 (E) e. 20/11
Answer: E
A train 800 m long can cross a pole in 10 sec and then find the speed of the train? Answer Choice: (A) 280 (B) 282 (C) 284 (D) 286 (E) 288
Answer: E
Given that there are 6 basketball players per team, how many ways can you select 3 basketball players from 3 teams if no more than one player can be selected from each team? Answer Choice: (A)  15 (B)  216 (C)  60 (D)  75 (E)  90
Answer: B
Look at this series: 75000,25000,5000... What number should come next? Answer Choice: (A) 1000 (B) 10 (C) 15 (D) 18 (E) 8
Answer: A
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ? Answer Choice: (A) Rs. 4082.40 (B) Rs. 1024.21 (C) Rs. 2810.6 (D) Rs. 3214 (E) None of these
Answer: A
By selling 150 mangoes, a fruit-seller gains the selling price of 10 mangoes. Find the gain percent? Answer Choice: (A) 7% (B) 25% (C) 21% (D) 85% (E) 24%
Answer: A
a man buys postage stamps of denomination of 30ps. and 50 ps. for rs.10.00. he buys 22 stamps in all. find the no of 30ps. stamps bought by him. Answer Choice: (A) 5 (B) 6 (C) 17 (D) 8 (E) 9
Answer: A
If the ratio of a to b is 5 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c? Answer Choice: (A) 4/15 (B) 1/3 (C) 2/5 (D) 4/5 (E) 7/6
Answer: B
A, B AND C ARE EMPLOYED TO DO A PIECE OF WORK FOR RS. 529. A AND B TOGETHER ARE SUPPOSED TO DO 19/23 OF THE WORK AND B AND C TOGETHER 8/23 OF THE WORK. WHAT AMOUNT SHOULD A BE PAID? Answer Choice: (A) RS. 315 (B) RS. 345 (C) RS. 355 (D) RS. 375 (E) NONE OF THESE
Answer: B
The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum W of all the digits of the integers from 0 to 99 inclusive? Answer Choice: (A) 450 (B) 810 (C) 900 (D) 1000 (E) 1100
Answer: C
A certain Sky Blue paint contains 10 percent blue pigment and 90 percent red pigment by weight. A certain green paint contains 70 percent blue pigment and 30 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight? Answer Choice: (A) 1.5 (B) 2.5 (C) 3.5 (D) 4.5 (E) 5.5
Answer: D
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 6%? Answer Choice: (A) 0—1.5 gal (B) 1.5—3 gal (C) 3—4.5 gal (D) 4.5—6 gal (E) 6+ gal
Answer: E
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 Â½ hours after the first, and reaches Pune Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car? Answer Choice: (A) 1:2 (B) 1:3 (C) 10:27 (D) 5:4 (E) 10:40
Answer: A
Renu can do a piece of work in 5 days, but with the help of her friend Suma , she can do it in 4 days. In what time Suma can do it alone? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 15 (E) 20
Answer: E
Set X consists of 15 integers and has median of 20 and a range of 20. What is the value of the greatest possible integer that can be present in the set? Answer Choice: (A) 32 (B) 37 (C) C.40 (D) 60 (E) 50
Answer: D
In a T.V. factory, an average of 60 TVs are produced per day for the fist 25 days of the months. A few workers fell ill for the next five days reducing the daily average for the month to 58 sets per day . The average production per day for day last 5 days is ? Answer Choice: (A) 45 (B) 48 (C) 52 (D) 58 (E) None
Answer: B
The music class consists of 4 girls and 5 boys. How many ways can a group of 3 be formed if it has to include at least one boy? Answer Choice: (A) 80 (B) 158 (C) 161 (D) 165 (E) 172
Answer: A
How many digits are in the number 50^8 × 8^3 × 11^3? Answer Choice: (A) 22 (B) 20 (C) 19 (D) 18 (E) 17
Answer: B
There are 10 oranges in a basket. Find the no. of ways in which 3 oranges are chosen from the basket? Answer Choice: (A) 60 (B) 90 (C) 120 (D) 150 (E) 180
Answer: C
The mean of 30 values was 140. It was detected on rechecking that one value 145 was wrongly copied as 135 for the computation of the mean. Find the correct mean. Answer Choice: (A) 151 (B) 140.33 (C) 152 (D) 148 (E) None of the above
Answer: B
In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Answer Choice: (A) 400 (B) 625 (C) 1,250 (D) 2,500 (E) 1,000
Answer: E
11, 22, 14, 28, 20, 40, ? Answer Choice: (A) 21 (B) 25 (C) 31 (D) 31 (E) 32
Answer: E
A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.120/- extra, then how much amount he took? Answer Choice: (A) Rs.5500/- (B) Rs.6000/- (C) Rs.4000/- (D) Rs.7000/- (E) Rs.8000/-
Answer: B
The mantissa of log 3274 is 0.5150. The value of log(0.3274) is Answer Choice: (A) 1.5150 (B) 1.5150 (C) 2.515 (D) None of these (E) Cannot be determined
Answer: A
Find the area of a parallelogram with base 18 cm and height 16 cm? Answer Choice: (A) 423 cm2 (B) 122 cm2 (C) 420 cm2 (D) 251 cm2 (E) 288 cm2
Answer: E
A,B, and C are on a trip by a car. A drives during the 1st hour at an average speed of 50km/hr. B drives during the next 2 hours at an average speed of 48km/hr. C drives for the next 3 hours at an average speed of 52km/hr. They reached their destination exactly after 6 hours. Their mean speed is? Answer Choice: (A) 45.5km/hr (B) 50.3km/hr (C) 56.9km/hr (D) 62.5km/hr (E) 38.9km/hr
Answer: B
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? Answer Choice: (A) 140 sq.units (B) 170 sq.units (C) 190 sq.units (D) 940 sq.units (E) 149 sq.units
Answer: A
Tanya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 3 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address? Answer Choice: (A) 1/24 (B) 1/8 (C) 1/4 (D) 1/3 (E) 3/8
Answer: B
The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it? Answer Choice: (A) 18% (B) 82% (C) 72% (D) 12% (E) 11%
Answer: D
You roll P (P > 1) number of Q (Q > 1) sided dice at once. What is the probability that at least two of the P dice will land on difference numbers. Answer Choice: (A) 1 - P/(Q^P) (B) 1 - Q/(P^Q) (C) 1 - 1/(P^(Q-1)) (D) 1 - 1/(Q^(P-1)) (E) 1 - 1/(Q-1)^P
Answer: D
The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $76,875, how much profit did the business make? Answer Choice: (A) $98,000 (B) $106,000 (C) $112,000 (D) $118,000 (E) $123,000
Answer: E
Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $112 and $120 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings? Answer Choice: (A) 600 (B) 784 (C) 1080 (D) 1200 (E) 1440
Answer: B
Solution Y is 30 percent liquid A and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid A? Answer Choice: (A) 30% (B) 33 1/3% (C) 37 1/2% (D) 40% (E) 50%
Answer: C
Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel six times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 7 (E) 12
Answer: D
150 candies are distributed to children with the same number of candies for each child. What can’t be the range which includes the number of children? Answer Choice: (A) 1~10 (B) 10~20 (C) 20~30 (D) 45~55 (E) 55~65
Answer: E
Which of the following inequalities is equivalent to –2 < x < 4 ? Answer Choice: (A) | x – 2 | < 4 (B) | x – 1 | < 3 (C) | x + 1 | < 3 (D) | x + 2 | < 4 (E) None of the above
Answer: B
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire? Answer Choice: (A) 2 : 5 (B) 2 : 8 (C) 2 : 1 (D) 2 : 0 (E) 2 : 2
Answer: A
3,5,11,29,83,245,? Answer Choice: (A) 731 (B) 728 (C) 715 (D) 705 (E) 645
Answer: A
As part of a game, seven people each must secretly choose an integer between 1 and 7, inclusive. What is the approximate likelihood that all seven people will choose different numbers? Answer Choice: (A) 1% (B) 12% (C) 16% (D) 20% (E) 25%
Answer: A
When positive integer N is divided by positive integer P, the quotient is 20, with a remainder of 7. When N is divided by (P + 2), the quotient is 15 and the remainder is 2. What is the value of N? Answer Choice: (A) 107 (B) 331 (C) 511 (D) 691 (E) 871
Answer: A
The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations T of soloists can appear in the liner notes? Answer Choice: (A) 5! (B) 10!/(5!5!) (C) 10!/5! (D) 10! (E) 10!*5!
Answer: B
The average of first 18 natural numbers is? Answer Choice: (A) 9.6 (B) 9.5 (C) 9.9 (D) 9.4 (E) 9.1
Answer: B
In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 54° of the chart, how much of the Roberts’s $30,000 annual budget is dedicated to clothes and shoes? Answer Choice: (A) $1,500 (B) $3,000 (C) $4,500 (D) $5,000 (E) $5,400
Answer: C
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table? Answer Choice: (A) 7297 (B) 6625 (C) 2871 (D) 6725 (E) 2981
Answer: B
A rectangular table seats 2 people on each of two sides, with every person directly facing another person across the table. If four people choose their seats at random, what is probability that any two of them directly face other? Answer Choice: (A) 1/3 (B) 1/8 (C) 1/7 (D) 15/56 (E) 4/7
Answer: A
The average of first 25 prime numbers is? Answer Choice: (A) 9.9 (B) 8.8 (C) 5.6 (D) 11.9 (E) 11.11
Answer: E
A train A leaves Mysore at 6 a.m. and reaches Bangalore at 10 a.m. Another train leaves B Bangalore at 8 a.m. and reaches Mysore at 11.30 a.m. At what time do the two trains cross each other ? Answer Choice: (A) 8.30 a.m. (B) 8.45 a.m. (C) 8.56 a.m. (D) 9 a.m. (E) None of these
Answer: C
The smallest number when increased by "2 " is exactly divisible by 12, 30, 48, 74 and 100 is: Answer Choice: (A) 14439 (B) 44398 (C) 44400 (D) 44402 (E) 15005
Answer: B
Four different books (A, B, C and D) are to be arranged on a shelf. Books A and B are to be arranged first and second starting from the right of the shelf. The number of different orders in which books C and D may be arranged is Answer Choice: (A) 16! (B) 12! (C) 8! (D) 11! (E) 2!
Answer: E
The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 174,000. What was the percent increase in the cost of the home? Answer Choice: (A) 60% (B) 50% (C) 55% (D) 40% (E) 45%
Answer: E
Find the greatest number of four digits which is perfectly divisible by 3 and when divided by 5, 7 and 9 leaves a remainder 3 in each case. Answer Choice: (A) 1128 (B) 1659 (C) 2687 (D) 1667 (E) 1891
Answer: B
Three friends are buying a gift for a friend. Declan contributes 9 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 22 dollars. What is the cost of the gift? Answer Choice: (A) 48 (B) 54 (C) 60 (D) 66 (E) 72
Answer: E
In the exam the average was found to be p mark. After deducting typographical error the average marks of 85 student reduced from 75 to 50 . Due to this the average came down by 25 marks. What was the number of students who took the exam? Answer Choice: (A) 100 (B) 85 (C) 110 (D) 130 (E) 160
Answer: B
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 3? Answer Choice: (A) 3/8 (B) 1/16 (C) 7/8 (D) 1/2 (E) 1/4
Answer: C
Three partners A, B, C in a business invested money such that 4(Aâ€™s capital) = 2(Bâ€™s capital) = 12(Câ€™s capital) then, The ratio of their capitals is Answer Choice: (A) 63 : 45 : 34 (B) 63 : 54 : 34 (C) 36 : 54 : 28 (D) 3 : 6 : 1 (E) None of these
Answer: D
A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 230 per month. What is his monthly salary? Answer Choice: (A) 5000 (B) 5750 (C) 2878 (D) 2990 (E) 2771
Answer: B
Find the average of the first 9 natural numbers? Answer Choice: (A) 8 (B) 5 (C) 10 (D) 11 (E) 12
Answer: B
If a and b are positive integers, which of the following cannot be an integer? Answer Choice: (A) (2b)/(4a+1) (B) (2b)/(3a+1) (C) (2a+1)/(4b) (D) (2a+1)/(4b+1) (E) (2a·b)/(4b+2)
Answer: C
Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has ten iron coins and ten copper coins, how many different sums from 1¢ to 70¢ can he make with a combination of his coins? Answer Choice: (A) 66 (B) 67 (C) 68 (D) 69 (E) 70
Answer: A
What is the greatest prime factor of 12!11! + 11!10!? Answer Choice: (A) 7 (B) 11 (C) 13 (D) 17 (E) 19
Answer: E
An empty wooden vessel weighs 12% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled. Answer Choice: (A) 3/5 (B) 5/11 (C) 1/24 (D) 4/9 (E) 2/5
Answer: B
A sum fetched a total simple interest of Rs. 750 at the rate of 6 p.c.p.a. in 5 years. What is the sum? Answer Choice: (A) 2600 (B) 2500 (C) 2900 (D) 2800 (E) 2700
Answer: B
A salesman sold twice as much pears in the afternoon than in the morning. If he sold $420 kilograms of pears that day, how many kilograms did he sell in the afternoon? Answer Choice: (A) 120 (B) 180 (C) 240 (D) 280 (E) 320
Answer: D
If x = 5/8 and y = -1/2, what is the value of the expression -2x – y^2? Answer Choice: (A) -3/2 (B) -1 (C) 1 (D) 3/2 (E) 7/4
Answer: A
A train left station X at A hour B minutes. It reached station Y at B hour C minutes on the same day, after travelling C hours A minutes (clock shows time from 0 hours to 24 hours). Number of possible value(s) of A is: Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: A
From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 20 percent. The enrollment on January 1, 1993, was 50 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ? Answer Choice: (A)  38 (B)  39 (C)  40 (D)  41 (E)  42
Answer: E
A = {2, 3, 5, 7, 11}
B = {2, 4, 6, 17}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained? Answer Choice: (A) 15 (B) 16 (C) 25 (D) 20 (E) 36
Answer: C
In the first hour of a two-hour trip, a car traveled 3d kilometers, and in the second hour of the trip, the car traveled one-half that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour? Answer Choice: (A)  d (B)  1/3*d (C)  1/2*d (D)  5/4*d (E)  3/2*d
Answer: D
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 53% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class? Answer Choice: (A) 60% (B) 50% (C) 25% (D) 18% (E) 10%
Answer: D
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train? Answer Choice: (A) 27 7/6 (B) 27 7/5 (C) 27 7/3 (D) 27 7/9 (E) 27 7/1
Answer: D
What is the least positive integer X for which (X^2) + 164 is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11? Answer Choice: (A) 27556 (B) 800 (C) 796 (D) 87 (E) 166
Answer: E
The sum of three consecutive odd natural numbers, each divisible by 3 is 72. What is the largest among them? Answer Choice: (A) 21 (B) 24 (C) 27 (D) 36 (E) 45
Answer: C
Which of the following statements must be true?
1) If x/y is a fraction and y has 17 as one of its prime factors then the resulting decimal will be terminating
2) If x/y is a fraction where 2 and 5 are the only two prime factors of y then the resulting decimal will be terminating.
3) If x/y is a fraction such that y=(10^n -1) for n≥1 then the repeating decimals in the result would just be the digits of the numerator.
4) If the interest is accounted annually then for the first compounded interest would be equal to the simple interest. Answer Choice: (A) 2,3 (B) 2,3,4 (C) 1,2,3 (D) 2,4 (E) 1,3
Answer: B
There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament? Answer Choice: (A) 10 (B) 20 (C) 40 (D) 60 (E) 120
Answer: C
The unit digit in the product (293 * 567 * 917 * 343) is: Answer Choice: (A) 2 (B) 1 (C) 6 (D) 8 (E) 10
Answer: B