loafeihong/math_mmlu_format huggingface dataset:
If b is an even integer and b/18 is an odd integer, which of the following is NOT an even integer? Answer Choice: (A) (b^2)/54 (B) (b^2)/8 (C) (b^2)/9 (D) (b^2)/6 (E) (b^2)/2
Answer: B
If n is a positive integer, which one of the following numbers must have a remainder of 2 when
divided by any of the numbers 4, 5, and 6? Answer Choice: (A) 125n + 2 (B) 240n + 2 (C) 280n + 2 (D) 390n + 2 (E) 520n + 2
Answer: B
Set R consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set R by 50, set Y is derived by multiplying each term in set R by 1.5, and set Z is derived by dividing each term in set R by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation? Answer Choice: (A)  X, Y, Z (B)  X, Z, Y (C)  Y, Z, X (D)  Y, X, Z (E)  Z, Y, X
Answer: D
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers? Answer Choice: (A) 60,88 (B) 60,81 (C) 68,88 (D) 60,84 (E) 60,81
Answer: D
In a certain city each of 6 Bus lines is represented by a colored flag. Each flag consists of either a single color or a pair of two different colors. If each bus lines has a different flag, what is the minimum number of colors needed for the flags. (Assume that the order of colors in a pair on a flag does not matter.) Answer Choice: (A) 2 (B) 4 (C) 3 (D) 1 (E) 5
Answer: C
Sum of the squares of 3 no.'s is 62 and the sum of their products taken two at a time is 131. Find the sum? Answer Choice: (A) 20 (B) 24 (C) 26 (D) 18 (E) 30
Answer: D
The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last of the three numbers? Answer Choice: (A) 15 (B) 17 (C) 19 (D) 21 (E) 23
Answer: C
A 9 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point? Answer Choice: (A) 1/6 (B) 1/5 (C) 2/9 (D) 1/3 (E) 2/5
Answer: C
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 80%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged? Answer Choice: (A) 100% decrease (B) 50% decrease (C) 40% decrease (D) 45% increase (E) 50% increase
Answer: D
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 860 (B) 900 (C) 875 (D) 950 (E) 1000
Answer: A
The ages of two persons differ by 12 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively Answer Choice: (A) 20,20 (B) 20,8 (C) 25,15 (D) 30,10 (E) None of these
Answer: B
The area of a triangle is with base 10m and height 10m? Answer Choice: (A) 11 (B) 10 (C) 50 (D) 122 (E) 12
Answer: C
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 18 men, 4 women and 10 children together complete the piece of work? Answer Choice: (A) 5 days (B) 15 days (C) 28 days (D) 4 days (E) 7 days
Answer: D
The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 198,000. What was the percent increase in the cost of the home? Answer Choice: (A) 65% (B) 50% (C) 55% (D) 40% (E) 33.3%
Answer: A
A person takes 5hrs 45 min in walking to a place and riding back. He would have gained 5 hrs by riding both ways. The time he would take to walk both ways is? Answer Choice: (A) 5 hours 45 min (B) 5 hours 55 min (C) 6 hours 45 min (D) 10 hours 45 min (E) 11 hours
Answer: D
Xavier starts from P towards Q at a speed of 50 kmph and after every 12 mins increases his speed by 10 kmph. If the distance between P and Q is 52km, then how much time does he take to cover the distance? Answer Choice: (A) 40 (B) 60 (C) 48 (D) 70 (E) 80
Answer: C
If 1/(a – 2) = 1/(a + 2) + 1/(a – 1), which of the following is a possible value of a? Answer Choice: (A) 1 (B) 2 (C) -3 (D) 3 (E) 0
Answer: E
What is the sum of all the even numbers between 31 and 99, inclusive? Answer Choice: (A) 3,000 (B) 2,562 (C) 2,500 (D) 2,180 (E) 2,766
Answer: D
The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 2 unit of standard deviation above the mean? Answer Choice: (A) -35.6 degrees Celsius (B) -33.0 degrees Celsius (C) -30.4 degrees Celsius (D) -27.8 degrees Celsius (E) -25.2 degrees Celsius
Answer: D
In a box of 11 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective? Answer Choice: (A) 28/55 (B) 19/33 (C) 7/11 (D) 4/7 (E) 3/5
Answer: A
A bag is filled with pennies and nickels in the ratio of 5to3. There are 30 nickles in the bag, how many coins are there in that bag? Answer Choice: (A) 25 (B) 34 (C) 45 (D) 50 (E) 80
Answer: E
Express a speed of 18 kmph in meters per second? Answer Choice: (A) 10 mps (B) 06mps (C) 09 mps (D) 05 mps (E) 11 mps
Answer: D
Bus 1 and Bus 2 run between cities A and B. Bus 1 leaves city A at the same time Bus 2 leaves city B,
each at a constant rate of speed. Their first meeting is 70 miles from city A. After reaching their
respective destinations and immediately turning around, their second meeting is 30 miles from city B.
What is the distance in miles between city A and city B? Answer Choice: (A) 90 (B) 120 (C) 125 (D) 150 (E) 180
Answer: E
Two friends Simpson & Stewie decide to get together
So they start driving cars towards each other. They plan to meet halfway. Each is riding at 6 Km/hr. They live 36 kms apart. Stewie has a pet "eagle" and it starts flying the instant they start traveling. The eagle flies back and forth at 18 Km/hr between them until the two meet.
How many kms does the eagle travel ? Answer Choice: (A) 54 (B) 55 (C) 86 (D) 45 (E) 62
Answer: A
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? Answer Choice: (A) 4 years (B) 8 years (C) 6 years (D) 5 years (E) 2 years
Answer: A
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 36 seconds, the speed of each train (in km/hr) is Answer Choice: (A) 12 (B) 36 (C) 28 (D) 20 (E) 24
Answer: A
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women? Answer Choice: (A) 37 (B) 26 (C) 30 (D) 18 (E) 11
Answer: C
What will come in place of the x in the following Number series? 6, 12, x, 33 , 48 Answer Choice: (A) 33 (B) 35 (C) 39 (D) 41 (E) 21
Answer: E
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 37. In the company, what is the maximum number of non-managers in a department that has 11 managers? Answer Choice: (A) 56 (B) 57 (C) 58 (D) 59 (E) 60
Answer: C
Pane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums? Answer Choice: (A) 30 (B) 36 (C) 70 (D) 80 (E) 150
Answer: B
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B. Answer Choice: (A) 2:1 (B) 1:2 (C) 1:1 (D) 4:3 (E) 5:6
Answer: D
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 32.5 meters. How many times did the ball bounce? Answer Choice: (A) 2 (B) 6 (C) 7 (D) 8 (E) 9
Answer: A
How many 4 digit numbers can be formed which are divisible by 3 using the numerals 0, 1, 2, 3, 4, 5 (WITHOUT REPETITION) Answer Choice: (A) 216 (B) 3152 (C) 240 (D) 600 (E) 168
Answer: E
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform? Answer Choice: (A) 11 (B) 77 (C) 36 (D) 47 (E) 99
Answer: D
Among the employees of a certain company, 50 percent of the employees are male and 48 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married? Answer Choice: (A)  0.3 (B)  0.4 (C)  0.5 (D)  0.6 (E)  0.7
Answer: B
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is: Answer Choice: (A) 500 (B) 277 (C) 266 (D) 288 (E) 261
Answer: A
subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 20 pages. Answer Choice: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16
Answer: A
When a 186 meters long rod is cut down into small pieces of length 2.0 meters each. Then how many pieces are available ? Answer Choice: (A) 52 (B) 68 (C) 62 (D) 67 (E) 93
Answer: E
The measurement of a rectangular box with lid is 25cmx24cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere) Answer Choice: (A) 288 (B) 2302 (C) 2304 (D) 8640 (E) 964
Answer: C
A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 6 games? Answer Choice: (A) x + 3y/(n + 3) (B) x + y/(n + 3) (C) (x + 3y)/(n + 3) (D) (nx + 3y)/(n + 6) (E) (3x + ny)/(n + 3)
Answer: D
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 42 films, and broke even on none of them, how many of their films were profitable? Answer Choice: (A) 18 (B) 19 (C) 20 (D) 21 (E) 41
Answer: E
There are 40 people and 3 clubs M, S, and Z in a company. 12 people joined M, 14 people joined S and 7 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not
join any club? Answer Choice: (A) 22 (B) 20 (C) 18 (D) 16 (E) 14
Answer: E
A mother and father have seven children, and the family receives an invitation with four tickets to the circus. If the family decides to randomly select the four members who get to attend the circus, but determine that the chosen group must include at least one of the mother and father, how many different groups are possible to send to the circus? Answer Choice: (A) 70 (B) 84 (C) 91 (D) 108 (E) 126
Answer: C
In how many ways Chief Minister and Minister be elected from a team of 12 members? Answer Choice: (A) 128 (B) 134 (C) 132 (D) 167 (E) 169
Answer: C
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years? Answer Choice: (A) 5% (B) 6% (C) 4 1/2% (D) 3 1/2 % (E) 4%
Answer: A
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ? Answer Choice: (A) 45 m (B) 50 m (C) 55 m (D) 60 m (E) 65 m
Answer: B
If the mean of numbers 28, x, 70, 88 and 104 is 67, what is the mean of 50, 62, 97, 124 and x? Answer Choice: (A) 76.5 (B) 75.6 (C) 73.5 (D) 79 (E) 77
Answer: B
A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 920gm. for a kg.His gain is …%. Answer Choice: (A) 5.26% (B) 5.36% (C) 4.26% (D) 6.26% (E) 8.69%
Answer: E
A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability T that all 3 jellybeans removed from the bag are blue? Answer Choice: (A) 9/100 (B) 2/19 (C) 1/8 (D) 3/20 (E) 3/10
Answer: B
817 + 8.017 + 0.817 + 8.0017 = ? Answer Choice: (A) 839.3657 (B) 833.8357 (C) 839.6357 (D) 819.5637 (E) 819.6753
Answer: B
How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 2 cannot appear more than once in the number. Answer Choice: (A) 2200 (B) 2295 (C) 2375 (D) 2380 (E) 2385
Answer: C
Two numbers A and B are such that the sum of 7% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B. Answer Choice: (A) 2 : 1 (B) 1 : 2 (C) 4 : 9 (D) 1 : 1 (E) 3 : 2
Answer: C
Two identical circles intersect such that their centers and the points at which they intersect form a square of side 3 cm. What is the area of the region where the two circles intersect? Answer Choice: (A) 9 - pi (B) 9pi - 9 (C) 4.5pi - 9 (D) 9 - 2pi (E) pi^2 - 3
Answer: C
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q’s age? Answer Choice: (A) 1 year (B) 2 years (C) 25 years (D) Data inadequate (E) None of these
Answer: D
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 149 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A? Answer Choice: (A) 1289 (B) 1192 (C) 281 (D) 1184 (E) 282
Answer: B
On dividing a number by 56, we get 27 as remainder. On dividing the same number by 8, what will be the remainder ? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: B
Which of the following CANNOT be the median Q of the four consecutive positive integers w, x, y, and z, where w < x < y < z ? Answer Choice: (A) (w+x)/2 - 1 (B) (w+z)/2 (C) (x+y)/2 (D) (y+z)/2 -1 (E) (w+x+y+z)/4
Answer: A
Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 4 hours and machine B produces k bottles in 7 hours. How many hours does it take machines A and B, working simultaneously, to produce 22k bottles? Answer Choice: (A) 48 (B) 52 (C) 56 (D) 60 (E) 64
Answer: C
How many cubes of 20 cm edge can be put in a cubical box of 1 m edge. Answer Choice: (A) 177 cm (B) 125 cm (C) 786 cm (D) 617 cm (E) 187 cm
Answer: B
A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare, the jackal takes eleven leaps. Find the ratio of the speed of the hare to the speed of the jackal. Answer Choice: (A) 4:7 (B) 8:11 (C) 5:8 (D) 3:11 (E) 5:2
Answer: B
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg? Answer Choice: (A) 55 (B) 66 (C) 40 (D) 88 (E) 12
Answer: C
An artist wishes to paint a circular region on a square poster that is 5 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet? Answer Choice: (A) 1/pi (B) sqrt(2/pi) (C) 2/sqrt(pi) (D) sqrt(12.5/pi) (E) pi/2
Answer: D
Given that r = 98.3, which of the following best approximates the value of r/(2r + 2) ? Answer Choice: (A) 1/4 (B) 1/3 (C) 1/2 (D) 4/7 (E) 2/3
Answer: C
r=3^(n+1), then in terms of r, 9^n= Answer Choice: (A) r^2/81 (B) r^2/9 (C) r^2 (D) r/3 (E) r
Answer: B
12.5 * 3.2 * 8.8 = ? Answer Choice: (A) 352 (B) 435 (C) 224 (D) 646 (E) 742
Answer: A
The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time D will it take to fill the tank now? Answer Choice: (A)  50% less time (B)  50% more time (C)  75% less time (D)  75% more time (E)  100% more time
Answer: A
There are 720 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female? Answer Choice: (A) 75 (B) 100 (C) 120 (D) 175 (E) 225
Answer: C
On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006? Answer Choice: (A) Sunday (B) Thursday (C) Tuesday (D) Friday (E) KDDSS
Answer: D
Ratio of two numbers x and y is 5:7. If x is increased by 20% and y is increased by 2 then the new ratio becomes 2:3. What is the ratio 3y:(x+6) Answer Choice: (A) 7:8 (B) 8:7 (C) 6:7 (D) 7:6 (E) 2:7
Answer: A
Raviraj invested an amount of 100000000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years? Answer Choice: (A) 12,310 (B) 13,210 (C) 13,320000 (D) 13,1200000 (E) 133100000
Answer: E
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell? Answer Choice: (A) 16 (B) 18 (C) 20 (D) 24 (E) 30
Answer: D
A train 150 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Answer Choice: (A) 7 (B) 6 (C) 8 (D) 2 (E) 4
Answer: C
A batsman makes a score of 86 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning? Answer Choice: (A) 19 (B) 29 (C) 38 (D) 49 (E) 59
Answer: C
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much? Answer Choice: (A) Rs.1056 (B) Rs.1112 (C) Rs.1182 (D) Rs.992 (E) Rs.702
Answer: D
In how many different ways can 3 identical blue pants and 3 identical yellow pants be distributed among 6 children such that each child receives a pair of pants? Answer Choice: (A) 20 (B) 2662 (C) 519 (D) 46 (E) 1
Answer: A
The side of a square is increased by 25% then how much % does its area increases? Answer Choice: (A) 56.29 % (B) 56.25 % (C) 56.75 % (D) 58.25 % (E) 51.25 %
Answer: B
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Answer Choice: (A) 4338 (B) 4536 (C) 4538 (D) 4530 (E) 4531
Answer: D
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is? Answer Choice: (A) 25 (B) 20 (C) 10 (D) 15 (E) 35
Answer: B
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors Q does the number 4x have? Answer Choice: (A) 4y (B) 3y (C) 16y (D) 5y (E) Cannot be determined
Answer: E
In the coordinate plane, points (x, 6) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x * y = Answer Choice: (A) 52 (B) 46 (C) 60 (D) 50 (E) 35
Answer: C
In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 32 people were made to stand in a column, how many columns could be formed? Answer Choice: (A) 15 (B) 20 (C) 25 (D) 30 (E) 35
Answer: A
Set W consists of all the prime numbers between 10 and 25. What is the range of set W? Answer Choice: (A) 12 (B) 13 (C) 16.6 (D) 17 (E) 23
Answer: A
Fake City has a population of 200,221 people and nine districts that are represented by nine members of the city council.They wish to redraw the district lines so that each district consists of the same amount of people. How many people would have to move into Fake City for them to achieve their goal? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
The number of new words that can be formed by rearranging the letters of the word 'LIVE' is? Answer Choice: (A) 15 (B) 20 (C) 25 (D) 32 (E) 23
Answer: E
I have an amazing bath tub having both hot and cold water taps.
The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approx 4 hours.
I turned them on simultaneously but forgot to close the lid which remove water out of tub.
The lid can empty the tub in exact 13 hours.
Since both taps are open along with the lib , can you estimate the time needed to fill the bath tub ? Answer Choice: (A) 1 hours (B) 2 hours (C) 3 hours (D) 4 hours (E) 5 hours
Answer: C
Three numbers are in the ratio 1:4:6 and their H.C.F is 9. The numbers are: Answer Choice: (A) 1,4,6 (B) 12,24,36 (C) 10, 20, 30 (D) 12, 24, 36 (E) 9,36,54.
Answer: E
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction? Answer Choice: (A) 33 1/8% (B) 33 7/3% (C) 33 1/3% (D) 33 1/6% (E) 32 1/3%
Answer: C
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets 1000 more than D, what is B’s share? Answer Choice: (A) 500 (B) 1500 (C) 2000 (D) 1400 (E) None of these
Answer: C
Martha takes a road trip from point A to point B. She drives x percent of the distance at 60 miles per hour and the remainder at 40 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator? Answer Choice: (A)  110 (B)  300 (C)  24,000 (D)  3,000 (E)  30,000
Answer: C
The perimeter of a semi circle is 122 cm then the radius is? Answer Choice: (A) 17 (B) 28 (C) 24 (D) 11 (E) 12
Answer: C
Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 47 years. The age of E is? Answer Choice: (A) 45 (B) 47 (C) 48 (D) 35 (E) 46
Answer: D
A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If15 were to be added to each score, which of these three statistics would change? Answer Choice: (A) The mean and the median (B) The median only (C) The standard deviation only (D) The mean only (E) The mean and the standard deviation
Answer: A
A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 20% above the original cost per share of stock, then interns of m for how many dollars was each share sold? Answer Choice: (A) a) 2m/300 (B) b) m/300 (C) c) m/200 (D) d) 3m/250 (E) e) 350/m
Answer: D
Find the value of 72514 x 9999 = m? Answer Choice: (A) 725067486 (B) 436567874 (C) 653658791 (D) 725117481 (E) 357889964
Answer: A
If e is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of e ? Answer Choice: (A)  10 (B)  12 (C)  14 (D)  16 (E)  18
Answer: C
An enterprising businessman earns an income of Re 5 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 10th day of business, he earns an income of: Answer Choice: (A) 21 (B) 22 (C) 20 (D) 45 (E) 30
Answer: D
2,345
2,354
2,435
.....
....
+5,432
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 2,3,4,5 exactly once in each integer. What is the sum of these 24 integers? Answer Choice: (A) 81,218 (B) 85,546 (C) 89,928 (D) 93,324 (E) 97,716
Answer: D
A man sitting in a train which is travelling at 60 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed? Answer Choice: (A) 52 kmph. (B) 62 kmph. (C) 72 kmph. (D) 80 kmph. (E) None
Answer: A