loafeihong/math_mmlu_format huggingface dataset:
What is the place value of 6 in the numeral 6259 Answer Choice: (A) A)2700 (B) B)2800 (C) C)6000 (D) D)2980 (E) E)3000
Answer: C
A jar contains 5 black and 2 white balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white? Answer Choice: (A) 2/7 (B) 5/21 (C) 4/21 (D) 3/7 (E) 1/2
Answer: B
This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 4 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 4 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print? Answer Choice: (A)  9P6 (B)  9P3 (C)  9C4 (D)  9C6 (E)  69
Answer: C
if m>0 and y is m percent of x, then, in terms of m, x is what percent of y? Answer Choice: (A) a)100m (B) b)1/100m (C) c)10000/m (D) d)10/m (E) e)1000/m
Answer: C
Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $35.88. How much did the meal cost without the tip? Answer Choice: (A) $28.98 (B) $29.91 (C) $30.15 (D) $31.20 (E) $30.85
Answer: D
A man takes
5
5 hours
45
45 min in walking to a certain place and riding back. He would have gained
2
2 hours by riding both ways. The time he would take to walk both ways is Answer Choice: (A) 7 hr 45 mins (B) 12hr (C) 4hr (D) 8 hr 2 min (E) 45 hr
Answer: A
If the average of seven numbers is 35. If one is included. The average become 40. The included number is: Answer Choice: (A) 70 (B) 75 (C) 76 (D) 78 (E) 79
Answer: B
Forty ladies and fifty gentlemen are present at a party. There are 20 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be not be a couple? Answer Choice: (A) 1/200 (B) 1/100 (C) 99/100 (D) 1/40 (E) 1/20
Answer: C
Factory X's bulbs work for over 5000 hours in 75% of cases, whereas factory Y's bulbs work for over 5000 hours in 65% of cases. It is known that factory X supplies 70% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours? Answer Choice: (A) 76.4% (B) 78% (C) 77.4% (D) 72% (E) 73.9%
Answer: D
A certain tire company can produce tires at a cost of $22,500 per batch plus $11 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire? Answer Choice: (A) $7.50 (B) $9.50 (C) $11.00 (D) $13.50 (E) $20.00
Answer: A
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is: Answer Choice: (A) 120 (B) 589 (C) 630 (D) 240 (E) 210
Answer: D
Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Friday, how many croissants will Marina eat on the 28th of that month? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 6
Answer: D
Two stations A and B are 110 km apart on a straight line. One train starts from A at 4 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 11 (B) 10 (C) 8 (D) 12 (E) 7
Answer: E
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was: Answer Choice: (A) 11 years (B) 14 years (C) 77 years (D) 88 years (E) 99 years
Answer: B
64, 81, 100, 144, 196, ?, F ind the missing number(?). Answer Choice: (A) 225 (B) 220 (C) 230 (D) 238 (E) 278
Answer: A
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning? Answer Choice: (A) 17 (B) 12 (C) 15 (D) 19 (E) 65
Answer: D
If 2x = 3y = 10, then 15xy = ? Answer Choice: (A)  1,200 (B)  200 (C)  120 (D)  40 (E)  250
Answer: E
The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is? Answer Choice: (A) 22 (B) 24 (C) 27 (D) 30 (E) 32
Answer: C
In a ratio which is equal to 2:4, if the antecedent is 50, then the consequent is? Answer Choice: (A) 72 (B) 85 (C) 100 (D) 51 (E) 80
Answer: C
The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). If a line through (4,4) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line? Answer Choice: (A) 0 (B) 2/5 (C) 4/7 (D) 1 (E) -4
Answer: E
Beginning in Town A, Biker Bob rides his bike 8 miles west, 5 miles north, 4 miles east, and then 15 miles north, to Town B. How far apart are Town A and Town B? (Ignore the curvature of the earth.) Answer Choice: (A) 25 miles (B) 20.4 miles (C) 30 miles (D) 32 miles (E) 33 miles
Answer: B
A tourist purchased a total of $1,100 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost? Answer Choice: (A) $1,430 (B) $1,310 (C) $1,290 (D) $1,270 (E) $870
Answer: E
Find the cost of fencing around a circular field of diameter 40 m at the rate of Rs.3 a meter? Answer Choice: (A) 400 (B) 370.4 (C) 376.98 (D) 340.9 (E) 350.03
Answer: C
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work? Answer Choice: (A) 26 (B) 22 (C) 12 (D) 24 (E) None of these
Answer: D
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres? Answer Choice: (A) 16 seconds (B) 65 seconds (C) 78 seconds (D) 12 seconds (E) 21 seconds
Answer: A
The average monthly salary of 660 workers in a factory is Rs. 380. The average monthly salary of officers is Rs. 2100 and the average monthly salary of the other workers is Rs. 340. Find the number of other workers. Answer Choice: (A) 645 (B) 650 (C) 640 (D) 642 (E) none
Answer: A
There are 6 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them? Answer Choice: (A) 90 (B) 120 (C) 225 (D) 180 (E) 200
Answer: C
mixture contains alcohol and water in the ratio 4 : 3. If 4 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture. Answer Choice: (A) 20 (B) 99 (C) 27 (D) 22 (E) 29
Answer: A
If the value of a piece of office decreases by 10% while the new tax rate on the office represent 110% of the original tax rate, what is the effect on the taxes? Answer Choice: (A) a - taxes increase by 10% (B) b- taxes increase by 1% (C) c- there is no change in taxes (D) d- taxes decrease by 1% (E) c- taxes decrease by 10%
Answer: D
A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 16,200, then what is B's share in the profit? Answer Choice: (A) Rs. 2000 (B) Rs. 3000 (C) Rs. 4000 (D) Rs. 5000 (E) None of these
Answer: B
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? Answer Choice: (A) 1:96 (B) 1:29 (C) 2:29 (D) 1:38 (E) 1:97
Answer: A
Connie has a number of gold bars, all of different weights. She gives the 24 lightest bars, which weigh 45% of the total weight, to Brennan. She gives the 13 heaviest bars, which weigh 26% of the total weight, to Maya. She gives the rest of the bars to Blair. How many bars did Blair receive? Answer Choice: (A) 14 (B) 15 (C) 16 (D) 17 (E) 18
Answer: B
If thrice the age of the son is added to the father then the sum would be 56. But if twice the age of father is added to the son then the total would be 72. Find the ages of father and son. Answer Choice: (A) 32, 8 (B) 8, 32 (C) 56, 72 (D) 72, 56 (E) 32, 4
Answer: A
A box contains 8 red marbles, 6 green marbles & 10 pink marbles. One marble is drawn at random from box. What is the probability that the marble drawn is green? Answer Choice: (A) 6/4 (B) 8/4 (C) 10/4 (D) 7/4 (E) 1/4
Answer: E
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate? Answer Choice: (A) 10 years (B) 77 years (C) 88 years (D) 44 years (E) 33 years
Answer: A
If x > 0, which of the following could be true?
I. x^3 > x^2
II. x^2 = x
III. x^2 > x^3 Answer Choice: (A) I only (B) I & II (C) II & III (D) All of the above (E) None of the above
Answer: D
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 54 (E) 3
Answer: A
Company A has an annual budget for a certain project, and 1/4 of this budget was spent during the first quarter of the year. If 1/8 of the remainder of the budget was spent during the second quarter, what fraction of the budget was left at the end of the second quarter? Answer Choice: (A) 5/8 (B) 13/16 (C) 21/32 (D) 37/48 (E) 53/64
Answer: C
Country X taxes each of its citizens an amount equal to 12 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income? Answer Choice: (A) $40,000 (B) $56,000 (C) $64,000 (D) $66,667 (E) $80,000
Answer: B
A professor will assign seven projects to three students. If two students each got 2 projects, and the other one got 3 projects, how many ways are possible? Answer Choice: (A) 600 (B) 630 (C) 650 (D) 670 (E) 690
Answer: B
If C + D = 9 and C and D are any numbers, which of the following is a possible value for 2C+3D? Answer Choice: (A) 19 (B) 09 (C) 29 (D) 39 (E) 38
Answer: B
A & B are two towns. A person covers the distance from A to B on cycle at 17kmph and returns to A by a boat running at a uniform speed of 8kmph. His average speed for the whole journey is Answer Choice: (A) 12.5 km/h (B) 12.33 km/h (C) 10.75 km/h (D) 10.88 km/h (E) 10.78 km/h
Answer: D
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent E? Answer Choice: (A) 20% (B) 80% (C) 100% (D) 180% (E) 200%
Answer: C
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by: Answer Choice: (A) 5 (B) 10 (C) 11 (D) 16 (E) 18
Answer: C
To fill an art exhibit, the gents in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many gents are in the art class? Answer Choice: (A) 80 (B) 120 (C) 240 (D) 320 (E) 400
Answer: C
Each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 12 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed? Answer Choice: (A) 3 (B) 6 (C) 9 (D) 12 (E) 15
Answer: E
fill in ht blank:(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,(b) to find the y-intercept of a line, we let ___ equal ___ and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___ Answer Choice: (A) (a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for y (B) (a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for x ; to find x- intercept , we let y equal 0 and solve for y (C) (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let y equal z and solve for x ; to find x- intercept , we let x equal 0 and solve for z (D) (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x (E) none of the above
Answer: D
Jack and Paul are running 1000m. Jack runs 1.5Km/hr faster than Paul but also finishes the race 1.5 sec earlier. What is the speed of Jack?? Answer Choice: (A) 20.61 (B) 21.61 (C) 22.61 (D) 23.61 (E) 24.61
Answer: A
A shop keeper marked 20% above the cost price and offered 15% discount then find it's net profit? Answer Choice: (A) 2% (B) 5% (C) 8% (D) 10% (E) 15%
Answer: A
If q is not equal to zero, andq+1/q = 3, then what is the value of q^4 + (1/q)^4? Answer Choice: (A) 184 (B) 194 (C) 254 (D) 324 (E) 354
Answer: B
Pipes A and B can fill a tank in 9 and 6 hours respectively. Pipe C can empty it in 18 hours. If all the three pipes are opened together, then the tank will be filled in? Answer Choice: (A) 3 9/97 hrs (B) 4 2/4 hrs (C) 3 9/17 hrs (D) 3 9/27 hrs (E) 3 9/19 hrs
Answer: B
A batsman had a certain average of runs for 16 innings. In the 17th innings, he made a score of 87 runs thereby increasing his average by 3. What is his average after 17 innings? Answer Choice: (A) 39 (B) 88 (C) 266 (D) 278 (E) 221
Answer: A
If x ≠ 0 and (y-x)/x=(y+x)/y, which of the following expressions is equal to its opposite? Answer Choice: (A) (x+y) (x-y) (B) x^2 – y^2 (C) y^2 (D) (y + x)^2 (E) (x – y)^2
Answer: A
Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 70 feet across and 9 feet deep? Answer Choice: (A) 4000 (B) 10000 (C) 20000 (D) 35000 (E) 45000
Answer: D
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is Answer Choice: (A) 1/216 (B) 1/36 (C) 5/9 (D) 5/12 (E) 7/12
Answer: B
Solve the given two equations and find the inequality of X and Y. (a) x^2-1=0 and (b) y^2+4y+3=0 Answer Choice: (A) If x>y (B) If x>=y (C) If x < y (D) If x<=y (E) x=y or relationship cannot be established
Answer: B
After decreasing 50% in the price of an article costs Rs.1200. Find the actual cost of an article? Answer Choice: (A) 1200 (B) 50 (C) 2400 (D) 100 (E) 600
Answer: C
In f is a positive integer smaller than 200 and (14f)/60 is an integer, then f has how many different positive prime factors? Answer Choice: (A) 2 (B) 3 (C) 5 (D) 6 (E) 8
Answer: B
The perimeter of a semi circle is 198 cm then the radius is? Answer Choice: (A) 22 (B) 28 (C) 98 (D) 38.5 (E) 13
Answer: D
. A boy has six trousers and 8 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 9 (B) 18 (C) 27 (D) 36 (E) 48
Answer: E
(0.8)(power 3) - (0.5)(power 3)/ (0.8)(power 2) + 0.40 + (0.5)(power 2) is: Answer Choice: (A) 0.6 (B) 0.5 (C) 0.35 (D) 0.3 (E) None of them
Answer: D
If the value of a piece of plaza decreases by 10% while the new tax rate on the plaza represent 110% of the original tax rate, what is the effect on the taxes? Answer Choice: (A) a - taxes increase by 10% (B) b- taxes increase by 1% (C) c- there is no change in taxes (D) d- taxes decrease by 1% (E) c- taxes decrease by 10%
Answer: D
A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is: Answer Choice: (A) 16 % (B) 22 % (C) 25 % (D) 10 % (E) 15 %
Answer: D
A solution of cough syrup has 15% alcohol. Another solution has 5% alcohol. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% alcohol? Answer Choice: (A) 10 (B) 5 (C) 15 (D) 20 (E) 25
Answer: D
A librarian has a set of nine books, including four different books about Abraham Lincoln. The librarian wants to put the nine books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other five books. How many different arrangements of the nine books are possible? Answer Choice: (A) (9!)/(4!) (B) (4!)(5!) (C) (4!)(6!) (D) (4!)(9!) (E) (4!)(5!)(9!)
Answer: C
Which of the following is a prime number ?? Answer Choice: (A) 33 (B) 81 (C) 89 (D) 93 (E) 10
Answer: C
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 55, then how long is the base of isosceles triangle? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25
Answer: C
One fourth of one third of two fifth of a number is 15. What will be40% of that number Answer Choice: (A) 140 (B) 150 (C) 180 (D) 200 (E) 300
Answer: C
Pipe A fills a tank of capacity 800 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full? Answer Choice: (A) 48 minutes (B) 14 minutes (C) 39 minutes (D) 40 minutes 20 seconds (E) None of these
Answer: A
What was the day of the week on, 16th July, 1776? Answer Choice: (A) Saturday (B) Monday (C) Tuesday (D) Friday (E) Sunday
Answer: C
Each of the positive integers a and c is a four-digit integer. If each of the digits 0 through 9 appears in one of these three integers, what is the maximum possible value of the sum of a and c? Answer Choice: (A) 18695 (B) 18325 (C) 18365 (D) 18395 (E) 18485
Answer: D
In a series of consecutive numbers, 26 is the eighth smallest number and 25 is the tenth largest number. What is the range of the series? Answer Choice: (A)  32 (B)  30 (C)  31 (D)  16 (E)  14
Answer: C
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions. Answer Choice: (A) 252 m (B) 704 m (C) 352 m (D) 808 m (E) None of these
Answer: B
Best friends Sprite and Icey have are playing a game of marbles. They invite 16 of their friends to play with them. There are 36 marbles in the bag. If all 18 people are playing, how many marbles does each person get? Answer Choice: (A) 3 (B) 2 (C) 5 (D) 6 (E) 7
Answer: B
If a 3-digit integer is selected at random from the integers 100 through 199, inclusive, what is the probability that the second digit is two greater than the first digit and the third digit is less than the second digit? Answer Choice: (A)  1/100 (B)  3/100 (C)  2/103 (D)  2/150 (E)  1/50
Answer: B
Find the odd man out
31, 37, 41, 45, 55, 58, 61, 67 Answer Choice: (A) 31 (B) 41 (C) 67 (D) 58 (E) 61
Answer: D
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%? Answer Choice: (A) 16 2/3% loss (B) 16 2/8% loss (C) 16 3/3% loss (D) 36 2/3% loss (E) 56 2/3% loss
Answer: A
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Answer Choice: (A) 227 (B) 350 (C) 881 (D) 277 (E) 271
Answer: B
A straight pipe 1 yard in length was marked off in halves and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard? Answer Choice: (A)  1/6 and 1/4 only (B)  1/6 and 1/3 only (C)  1/6, 1/4, and 1/3 (D)  1/12, 1/6 and 1/4 (E)  1/12, 1/6, and 1/3
Answer: B
In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed? Answer Choice: (A) 5 (B) 4 (C) 3 (D) 2 (E) 0
Answer: D
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years? Answer Choice: (A) 187 (B) 400 (C) 168 (D) 286 (E) 268
Answer: B
Two water pumps, working simultaneously at their respective constant rates, took exactly five hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate? Answer Choice: (A) 5 (B) 16/3 (C) 11/2 (D) 6 (E) 25/3
Answer: E
The speed of a boat in upstream is 120 kmph and the speed of the boat downstream is 154 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 17 (B) 99 (C) 88 (D) 66 (E) 23
Answer: A
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 7 minutes, then the area of the park (in sq. m) is: Answer Choice: (A) 153601 (B) 153600 (C) 153602 (D) 117600 (E) 153604
Answer: D
The sequence a1, a2, … , an, … is such that an=2an−1−x for all positive integers n ≥ 2 and for certain number x. If a5=99 and a3=27, what is the value of x? Answer Choice: (A) 3 (B) 9 (C) 18 (D) 36 (E) 45
Answer: A
The combined age of husband and wife on their 20th wedding anniversary was twice than it was at the time of wedding. If the husband is 3 years older than his wife. How old was he at the time of his marriage? Answer Choice: (A) 21.5 years (B) 21.9 years (C) 31.5 years (D) 21.7 years (E) 61.5 years
Answer: A
The length of a rectangle is three - 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) 240 sq.units (B) 140 sq.units (C) 120 sq.units (D) 130 sq.units (E) 150 sq.units
Answer: A
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm. Answer Choice: (A) 227 (B) 299 (C) 285 (D) 161 (E) 212
Answer: C
We have 7 people and 4 chairs. In how many ways chairs can be occupy? Answer Choice: (A) 840 (B) 720 (C) 650 (D) 914 (E) 796
Answer: A
A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water? Answer Choice: (A) 2 (B) 5 (C) 9 (D) 7 (E) 9
Answer: A
The function f is defined for all positive integers r by the following rule. f(r) is the number of positive integers each of which is less than r and has no positive factor in common with r other than 1. If x is any prime, number then f(x)= Answer Choice: (A) (x+1)/2 (B) x-2 (C) x-1 (D) (x-1)/2 (E) 2
Answer: C
What is the solution of the following simultaneous equations?
x + y + z = 6, x + 2y + 3z = 14 and x + 3y + z = 10 Answer Choice: (A) 3 (B) 7 (C) 8 (D) 1 (E) 2
Answer: A
If 9 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days? Answer Choice: (A) 127 (B) 237 (C) 387 (D) 400 (E) 481
Answer: D
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.50 for every box, and if the university needs 2.4 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes? Answer Choice: (A) $250 (B) $275 (C) $510 (D) $1,250 (E) $2,550
Answer: A
Erica is four times as old as Blair. Nicole is three years older than Erica.
The sum of their ages is 21. How old is Erica? Answer Choice: (A) 8 (B) 18 (C) 19 (D) 22 (E) 29
Answer: A
What is the lowest positive integer that is divisible by each of the integers 1 through 10 inclusive? Answer Choice: (A) 420 (B) 840 (C) 1260 (D) 2520 (E) 5020
Answer: D