loafeihong/math_mmlu_format huggingface dataset:
Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fourth widget, starting with the fourth, and Steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector? Answer Choice: (A) 50 (B) 52 (C) 53 (D) 55 (E) 56
Answer: C
How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 36 sec (B) 30 sec (C) 13 sec (D) 19 sec (E) 12 sec
Answer: A
In a series of football matches, the probability that Team P wins a match against Team Q is 1/3 and the probability that the match ends in a draw is 1/5. If the two teams play five matches, what is the probability that all five matches end in a draw? Answer Choice: (A) 1/1625 (B) 1/2225 (C) 1/3125 (D) 1/4225 (E) 1/5425
Answer: C
A man gets a simple interest of Rs.600 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate. Answer Choice: (A) Rs.500 (B) Rs.250 (C) Rs.307.5 (D) Rs.5062.50 (E) None of these.
Answer: C
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 167 ways (B) 828 ways (C) 627 ways (D) 108 ways (E) 622 ways
Answer: D
A factory produces 5500 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day? Answer Choice: (A) 1375 toys (B) 2375 toys (C) 3375 toys (D) 4375 toys (E) 5375 toys
Answer: A
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? Answer Choice: (A) 20 kmph (B) 40 kmph (C) 27 kmph (D) 28 kmph (E) 22 kmph
Answer: B
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.? Answer Choice: (A) 87 (B) 98 (C) 12 (D) 27 (E) 28
Answer: C
The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer Answer Choice: (A)  12 (B)  24 (C)  46 (D)  48 (E)  60
Answer: C
Solving a linear equation with several occurrences of the variable, solve for w. Simplify answer as much as possible.
(7w + 6)/6 + (9w +8)/2 = 22 Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
What is the square root of 81, divided by 3? Answer Choice: (A) 9 (B) 36 (C) 122 (D) 3 (E) 1
Answer: D
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 56 more. What was his original selling price? Answer Choice: (A)  $770 (B)  $660 (C)  $700 (D)  $1100 (E)  $880
Answer: E
Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 222 runs? Answer Choice: (A) 6 (B) 6.25 (C) 7.25 (D) 7.5 (E) 4.75
Answer: E
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 48 kmph respectively. In how much time will they cross each other, if they are running in the same direction? Answer Choice: (A) 72 sec (B) 132 sec (C) 157.5 sec (D) 252 sec (E) None
Answer: C
A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock? Answer Choice: (A) 23277 (B) 20000 (C) 28778 (D) 28788 (E) 18881
Answer: B
If a real number x is chosen at random in the interval [0,5] and a real number y is chosen at random in the interval [0,7], what is the probability that x < y? Answer Choice: (A) 5/7 (B) 2/3 (C) 9/14 (D) 4/5 (E) 7/8
Answer: C
Three bottles whose capacities are as 5 : 3 : 2 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of bottles are as 3 : 2, 2 : 1 and 3 : 1 respectively. Find the percentage of water in the new mixture obtained when 1/3rd of first, 1/2 of second and 2/3rd of the third bottle is taken out and mixed together Answer Choice: (A) 66.66% (B) 50% (C) 16.66% (D) 33.33% (E) 36.33%
Answer: D
The total of a company's assets in 1994 was 100% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994? Answer Choice: (A) 5N (B) 7N (C) 10N (D) 15N (E) 20N
Answer: C
If A and B get profits of Rs.5,000 and Rs.2,000 respectively at the end of year then ratio of their investments are Answer Choice: (A) 4:1 (B) 1:4 (C) 5:2 (D) 2:3 (E) 2:5
Answer: C
If the cost price of 44 chocolates is equal to the selling price of 24 chocolates, the gain percent is : Answer Choice: (A) 83.55% (B) 83.33% (C) 80% (D) 83.39% (E) 84.33%
Answer: B
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor A of 2x and 3y? Answer Choice: (A) A=1 (B) A=Cannot be determined (C) 2 (D) 5 (E) 6
Answer: B
The original price of a certain TV set is discounted by d percent, and the reduced price is then discounted by 2d percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts? Answer Choice: (A) P(1 - 0.03x + 0.02x^2) (B) P(1 - 0.03d + 0.0002d^2) (C) P(1 - 0.03x + 0.002x^2) (D) P(1 - 2x^2) (E) P(1 - 3x + 2x^2)
Answer: B
Of 300 surveyed students, 20% of those who read book A also read book B and 50% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B? Answer Choice: (A) 120 (B) 125 (C) 130 (D) 135 (E) 150
Answer: E
John have a 630ml mixture of milk and water in the ratio 7:2. How much water must be added to make the ratio 7:3? Answer Choice: (A) 50 ml (B) 60 ml (C) 70 ml (D) 80 ml (E) 90 ml
Answer: C
By investing Rs. 1620 in 8% stock,Michael earns Rs. 135.The stock is then quoted at : Answer Choice: (A) Rs. 80 (B) Rs. 96 (C) Rs. 106 (D) Rs. 108 (E) Rs. 109
Answer: B
The least number which must be subtracted from 509 to make it exactly divisible by 9 is: Answer Choice: (A) A)2 (B) B)3 (C) C)5 (D) D)5 (E) E)6
Answer: C
A watch was sold at a loss of 10%. If the watch was sold for $28 more, there would have been a gain of 4%. What is the cost price? Answer Choice: (A) $180 (B) $200 (C) $220 (D) $240 (E) $260
Answer: B
In Net's hair salon 54% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures? Answer Choice: (A) 5% (B) 9% (C) 12% (D) 15% (E) 21%
Answer: E
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 60 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Answer Choice: (A) 22 (B) 27 (C) 40 (D) 99 (E) 12
Answer: C
An unbiased die is tossed .find the probability of getting a multiple of 3 Answer Choice: (A) 3/7 (B) 4/9 (C) 1/3 (D) 3/5 (E) 2/7
Answer: C
Find a sum for first 8 prime number'ss? Answer Choice: (A) 25 (B) 28 (C) 77 (D) 60 (E) 32
Answer: C
There are 20 balls which are red, blue or green. If 7 balls are green and the sum of red balls and green balls is less than 13, at most how many red balls are there? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: B
A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 15% impurities to the product. Find the net profit percentage of the dealer? Answer Choice: (A) 46.85% (B) 43.75% (C) 50% (D) 56.25% (E) 36%
Answer: B
A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long? Answer Choice: (A) 65 sec (B) 89 sec (C) 100 sec (D) 150 sec (E) 120 sec
Answer: B
(4300231)-?=2535618 Answer Choice: (A) 1865113 (B) 1775123 (C) 1764613 (D) 1675123 (E) None of them
Answer: C
A train 605 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) 81 (B) 16 (C) 33 (D) 54 (E) 12
Answer: C
From the top of a 9 metres high building AB, the angle of elevation of the top of a tower CD is 30º and the angle of depression of the foot of the tower is 60º. What is the height of the tower? Answer Choice: (A) 11 (B) 12 (C) 88 (D) 27 (E) 10
Answer: B
If one person completes a journey in 10 hrs. He travels 1st half of the journey at the rate of 21 km/hr and 2nd half at therate of 24 km/hr. Find the total journey in km. Answer Choice: (A) 189 km (B) 210 km (C) 224 km (D) 256 km (E) 274 km
Answer: C
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 6 sec. What is the length of the fast train? Answer Choice: (A) 27 7/6 (B) 27 7/5 (C) 277/2 (D) 300/9 (E) 27 7/1
Answer: D
If each of 4 subsidiaries of Corporation R has been granted a line of credit of $626,500 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R? Answer Choice: (A)  $1,568,000 (B)  $448,000 (C)  $406,000 (D)  $313,600 (E)  $116,000
Answer: C
A rainstorm increased the amount of water stored in State J reservoirs from 160 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 40 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm? Answer Choice: (A) 260 (B) 280 (C) 325 (D) 340 (E) 355
Answer: D
The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? Answer Choice: (A) 76 kg (B) 76.5 kg (C) 85 kg (D) Data inadequate (E) None of these
Answer: C
Each week the forensics teams at Roslyn High School and Manchester High School debate each other. Each team has several members, and each week three are selected to debate. Whenever Aviva debates for Roslyn, Roslyn wins; and whenever Zachary debates for Roslyn, Roslyn wins. Whenever Josh debates for Roslyn, Manchester wins. Answer Choice: (A) 287 (B) 268 (C) 26 (D) 17 (E) 191
Answer: A
If x is the sum of six consecutive integers, then x is divisible by which of the following: I. 12 II. 3 III. 6 Answer Choice: (A) I only (B) II only (C) III only (D) I and III (E) I, II, and III
Answer: B
if x:y = 1:2, then find the value of
(7x+3y):(2x+y) Answer Choice: (A) 13:4 (B) 15:5 (C) 16:5 (D) 17:5 (E) None of these
Answer: A
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: C
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet? Answer Choice: (A) 267 (B) 2667 (C) 200 (D) 269 (E) 265
Answer: C
Four persons enter the lift of a four storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor Answer Choice: (A) 81 (B) 129 (C) 154 (D) 182 (E) 250
Answer: A
The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If r of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present? Answer Choice: (A)  y/R (B)  y/(R-x) (C)  xy/(R-x) (D)  ry/(R(R-r)) (E)  y/(R(R-x))
Answer: D
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 22,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got five times as many votes as the other candidate, how many people have voted in each round? Answer Choice: (A) 15,000 (B) 66,000 (C) 40,000 (D) 50,000 (E) 60,000
Answer: B
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: Answer Choice: (A) No profit, no loss (B) 5% (C) 8% (D) 10% (E) None of these
Answer: B
Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3? Answer Choice: (A) 2345 (B) 2445 (C) 2653 (D) 3334 (E) 3456
Answer: D
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 3? Answer Choice: (A) $0.50 (B) $1.00 (C) $1.25 (D) $1.50 (E) $1.75
Answer: A
Rain is falling at a rate of 10 centimeters per hour all over North Carolina. Somewhere downtown in North Carolina a group of people are waiting for the rain to stop. If the rain filled a round puddle the with a base area of 300 square centimeters and a depth of 30 centimeters, how long did the people wait for the rain to stop? Answer Choice: (A) 4 hours (B) 11 hours (C) 7 hours 15 minutes (D) 3 hours (E) 14 hours
Answer: D
C and D start a business with Rs.25000 and Rs.35000 respectively. Hoe should they share their profits at the end of one year? Answer Choice: (A) 5:7 (B) 7:5 (C) 4:7 (D) 7:4 (E) 3:7
Answer: A
Two trains 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Answer Choice: (A) 12.6 sec (B) 10.1 sec (C) 10.6 sec (D) 10.8 sec (E) 10.2 sec
Answer: A
The fourth proportional to 7, 9, 14 is: Answer Choice: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18
Answer: C
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product? Answer Choice: (A) 10% (B) 11% (C) 12.5% (D) 13% (E) 15%
Answer: C
The shopkeeper sale, all of the prices of the items sold were different. If the price of a radio sold at the shopkeeper sale was both the 9th highest price and the 14th lowest price among the prices of the items sold, how many items were sold at the shopkeeper sale? Answer Choice: (A) 23 (B) 22 (C) 32 (D) 26 (E) 17
Answer: B
What is the minimum percentage increase in the mean of set F {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes? Answer Choice: (A)  25% (B)  50% (C)  75% (D)  100% (E)  200%
Answer: D
Judges will select 6 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible? Answer Choice: (A) 10 (B) 21 (C) 210 (D) 420 (E) 560
Answer: E
If a^5 ≤ a, which of the following must be true?
I. –1 ≤ a ≤ 0
II. a=0
III. 0 ≤ a ≤ 1 Answer Choice: (A) None of the above (B) I only (C) II only (D) III only (E) I and III only
Answer: A
How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph? Answer Choice: (A) 54 sec (B) 65 sec (C) 25 sec (D) 22 sec (E) 24 sec
Answer: D
A 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Answer Choice: (A) 288 (B) 350 (C) 400 (D) 276 (E) 234
Answer: C
How many times digit 6 is used while writing numbers from 150 to 1000? Answer Choice: (A) 648 (B) 300 (C) 252 (D) 225 (E) 26
Answer: C
Tough and Tricky questions: Combinations.
The product of the digits of the four-digit number h is 42. No two digits of h are identical. How many different numbers are possible values of h? Answer Choice: (A) 12 (B) 36 (C) 24 (D) 42 (E) 54
Answer: C
What is the cost of leveling the field in the form of parallelogram at the rate of Rs.50/10 sq.metre, whose base & perpendicular distance from the other side being 94m & 54m respectively? Answer Choice: (A) s. 6420 (B) s. 3563 (C) s. 2400 (D) s. 5480 (E) s. 5076
Answer: E
If 'a' and 'b' are non-zero numbers such that their sum is eight times the product, what is the value of 1/a + 1/b? Answer Choice: (A) 2 (B) 4 (C) 8 (D) 12 (E) 16
Answer: C
If [x] is the greatest integer less than or equal to x, what is the value of [1.6]+[-3.4]+[10.7]? Answer Choice: (A)  3 (B)  4 (C)  5 (D)  6 (E)  7
Answer: E
Of the three numbers, second is twice the first and is also thrice the third.If the average of the three numbers is 44.Find the largest number. Answer Choice: (A) 70 (B) 72 (C) 66 (D) 74 (E) 71
Answer: B
Tim and Élan are 30 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan? Answer Choice: (A) 20 miles. (B) 35 miles. (C) 45 miles. (D) 60 miles. (E) 65 miles.
Answer: A
A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 160 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $400, how many of the books sold were paperbacks? Answer Choice: (A) 60 (B) 80 (C) 100 (D) 120 (E) 140
Answer: B
Cost of 1 chair is Rs. 214 and cost of one table is Rs. 937, then what is the approximate cost of 6 dozen chairs and 4 dozen table ? Answer Choice: (A) Rs. 60000 (B) Rs. 58000 (C) Rs. 55000 (D) Rs. 62000 (E) None
Answer: A
Three hundred multiples of seven are chosen at random, and 200 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd? Answer Choice: (A) 20% (B) 25% (C) 30% (D) 35% (E) 40%
Answer: C
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Answer Choice: (A) 300 (B) 320 (C) 350 (D) 345 (E) 568
Answer: C
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Answer Choice: (A) 477 (B) 444 (C) 279 (D) 276 (E) 291
Answer: B
A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth. Answer Choice: (A) 5 th Floor (B) 4 th Floor (C) 6 th Floor (D) 1 st Floor (E) None of these
Answer: A
In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election? Answer Choice: (A) 16800 (B) 15268 (C) 14800 (D) 15620 (E) 16850
Answer: A
If 48 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ? Answer Choice: (A) 80 hours (B) 75 hours (C) 70 hours (D) 65 hours (E) 60 hours
Answer: A
Two boats are heading towards each other at constant speeds of 3 miles/hr and 21 miles/hr respectively. They begin at a distance 20 miles from each other. How far are they (in miles) one minute before they collide ? Answer Choice: (A) 1/12 (B) 5/12 (C) 1/6 (D) 1/3 (E) 3/15
Answer: E
There are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 7
Answer: B
If A is thrice as fast as B and together can do a work in 18 days. In how many days A alone can do the work? Answer Choice: (A) 36 (B) 42 (C) 24 (D) 54 (E) 45
Answer: C
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ? Answer Choice: (A) 4236 (B) 4306 (C) 4336 (D) 5336 (E) None of these
Answer: D
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 2 ½ hours if they are walking in the same direction? Answer Choice: (A) 7 km (B) 6 km (C) 3 1/8 km (D) 9 km (E) 5 km
Answer: C
Kelly and Jody packed boxes with books. If Jody packed 40% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed? Answer Choice: (A) 1 to 6 (B) 1 to 4 (C) 2 to 5 (D) 3 to 5 (E) 3 to 2
Answer: E
How many 1/8's are there in 371/2 ? Answer Choice: (A) 1384 (B) 1484 (C) 1584 (D) 1684 (E) 1784
Answer: B
Three candidates contested an election and received 1136, 7636 and 14628 votes respectively. What percentage of the total votes did the winning candidate got? Answer Choice: (A) 55% (B) 56% (C) 62.5% (D) 58% (E) 59%
Answer: C
what is the least number by which 2,100 must be divided to get a number perfect square Answer Choice: (A) 21 (B) 42 (C) 24 (D) 40 (E) 45
Answer: A
Rick deposited $750 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit? Answer Choice: (A) 5. (B) 45. (C) 50. (D) 55. (E) 65.
Answer: B
Find large number from below question The difference of two numbers is 1390. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1245 (B) 1345 (C) 1455 (D) 1577 (E) 1665
Answer: E
10 litres of water are poured into an aquarium of dimensions 50cm length, 20cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³) Answer Choice: (A) 6 (B) 8 (C) 10 (D) 20 (E) 40
Answer: C
The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination Answer Choice: (A) 12 years 8 month (B) 13 years (C) 14 years 8 month (D) 15 years 7 month (E) 16 years 9 month
Answer: C
What is the approx. value of W, if W=(1.5)11, Given log2 = 0.301, log3 = 0.477 Answer Choice: (A) 85 (B) 84 (C) 86 (D) 87 (E) 99
Answer: C
Jane had an average of 87 on his first 7 tests. She had an average score of 90 on her first 6 tests. What did he score on the 7th test? Answer Choice: (A) 69 (B) 75 (C) 90 (D) 86 (E) 50
Answer: A
Find the remainder when 6^23 is divided by 5 ? Answer Choice: (A) 3 (B) 2 (C) 1 (D) 0 (E) 4
Answer: C
60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 50 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day? Answer Choice: (A) 12 (B) 18 (C) 32 (D) 40 (E) 44
Answer: E
Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, 16 is 6? Answer Choice: (A) 168 (B) 172 (C) 170 (D) 174 (E) 176
Answer: C