loafeihong/math_mmlu_format huggingface dataset:
A train is 400 meter long is running at a speed of 60 km/hour. In what time will it pass a signal post? Answer Choice: (A) 28 seconds (B) 30 seconds (C) 40 seconds (D) 24 seconds (E) 18 seconds
Answer: D
The product of the squares of two positive integers is 900. How many pairs of positive integers satisfy this condition? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: E
An archer is shooting arrows from various distances. She shoots at a target from 40 yards, 50 yards, and 60 yards. The probability that she hits within the bullseye from 40 yards is 4/5, the probability that she hits within the bullseye from 50 yards is 3/4, and the probability that she hits within the bullseye from 60 yards is 2/3. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed. Answer Choice: (A) 39/40 (B) 49/50 (C) 59/60 (D) 9/10 (E) 14/15
Answer: C
How many seconds will a 600 metre 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) 25 (B) 36 (C) 40 (D) 45 (E) 50
Answer: B
Fortunes, the latest SUV by Toyota Motors, consumes diesel at the rate of 1400×[1000x+x]1400×[1000x+x] litres per km, when driven at the speed of xx km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800 kms? Answer Choice: (A) 34 km per hour (B) 54 km per hour (C) 49 km per hour (D) 65 km per hour (E) 67 km per hour
Answer: C
Find the annual income derived by investing $ 6800 in 40% stock at 136. Answer Choice: (A) 550 (B) 2000 (C) 250 (D) 3000 (E) 400
Answer: B
Express the following as a Decimal 6% Answer Choice: (A) 0.6 (B) 6.0 (C) 0.006 (D) 6.6 (E) 0.06
Answer: E
Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 8 minutes more to walk to work than to ride his bike to work, then x equals? Answer Choice: (A) 4 (B) 7 (C) 12 (D) 15 (E) 20
Answer: C
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D? Answer Choice: (A) 40% (B) 44% (C) 80% (D) 90% (E) 100%
Answer: C
For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 525 what is the least possible value of k? Answer Choice: (A) 10 (B) 14 (C) 15 (D) 21 (E) 25
Answer: A
Three models (P, Q, and R) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model P, 17 cars of Model Q, and 15 cars of Model R. What is the maximum number of cars of model P in any showroom ? Answer Choice: (A) 17 (B) 16 (C) 15 (D) 14 (E) 13
Answer: C
Find the average of first 60 natural numbers? Answer Choice: (A) 50.5 (B) 52 (C) 30.5 (D) 75 (E) 65
Answer: C
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of B. Answer Choice: (A) 240 (B) 288 (C) 277 (D) 390 (E) 361
Answer: D
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 2,400 circuit boards where 64 fail inspection? Answer Choice: (A) 72 (B) 356 (C) 200 (D) 256 (E) 264
Answer: B
A, B and C start at the same time in the direction to run around a circular stadium. A completes a round in 252 seconds and C in 198 seconds, all starting at the same point. after what time will they meet again at the starting point ? Answer Choice: (A) 26 minutes 18 seconds (B) 42 minutes 36 seconds (C) 45 minutes (D) 46 minutes 12 seconds (E) 58 minutes
Answer: D
Diana is painting statues. She has 7/16 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint? Answer Choice: (A) 7 (B) 20 (C) 28 (D) 14 (E) 19
Answer: A
A can do a piece of work in 30 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in? Answer Choice: (A) 30 days (B) 65 days (C) 86 days (D) 45 days (E) 17 days
Answer: A
In the new budget , the price of kerosene oil rose by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase ? Answer Choice: (A) 10 (B) 20 (C) 30 (D) 40 (E) None of them
Answer: B
If six coins are flipped simultaneously, the probability of getting at least one heads and at least one tails is closest to Answer Choice: (A) 3% (B) 6% (C) 75% (D) 94% (E) 97%
Answer: E
At present, the ratio between the ages of Arun and Deepak is 4:3. After 7 years, Arun's age will be 19 years. What is the age of Deepak at present? Answer Choice: (A) 16 (B) 14 (C) 12 (D) 9 (E) 15
Answer: D
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.10 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost? Answer Choice: (A) 399 (B) 272 (C) 732.6 (D) 277 (E) 311
Answer: C
The average of 65 numbers is 40. If two numbers, 83 and 30 are discarded, then the average of the remaining numbers is nearly Answer Choice: (A) 28.32 (B) 39 (C) 38.78 (D) 29 (E) 39.47
Answer: E
If W is the set of all the integers between 69 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers? Answer Choice: (A) 20 (B) 32 (C) 33 (D) 34 (E) 35
Answer: A
Joshua and Jose work at an auto repair center with 2 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen? Answer Choice: (A) 1/15 (B) 1/12 (C) 1/9 (D) 1/6 (E) 1/3
Answer: D
The average of 7 numbers is 25. If each number be multiplied by 5. Find the average of new set of numbers? Answer Choice: (A) A)110 (B) B)122 (C) C)120 (D) D)125 (E) E)145
Answer: D
Solve 2log53 X log9x + 1 = log53 Answer Choice: (A) 3/5 (B) 4/5 (C) 4 (D) 4/6 (E) 5
Answer: A
The perimeter of a semi circle is 144 cm then the radius is? Answer Choice: (A) 22 (B) 28 (C) 98 (D) 37 (E) 13
Answer: B
If log1087.5 = 2.9421, then the number of digits in (875)10 is? Answer Choice: (A) 30 (B) 28 (C) 27 (D) 26 (E) 40
Answer: E
The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas? Answer Choice: (A) 9:22 (B) 9:20 (C) 9:25 (D) 9:26 (E) 9:21
Answer: C
For every positive odd integer n, the function h(n) is defined to be the product of all the odd integers from 1 to n, inclusive. If p is the smallest prime factor of h(100) +1, then p is? Answer Choice: (A) between 1 and 20 (B) between 10 and 20 (C) between 20 and 30 (D) between 30 and 40 (E) 1
Answer: E
Set S consists of numbers 2, 3, 6, 48, and 164. Number K is computed by multiplying one random number from set S by one of the first 10 non-negative integers, also selected at random. If Z=6^K, what is the probability that 678,463 is not a multiple of Z? Answer Choice: (A) 10% (B) 25% (C) 50% (D) 90% (E) 100%
Answer: D
In a certain game, a player begins with a bag containing tiles numbered 1 through 15, each of which has an equal probability of being selected. The player draws one tile. If the tile is even, the player stops. If not, the player draws another tile without replacing the first. If this second tile is even, the player stops. If not, the player draws a third tile—without replacing either of the first two tiles—and then stops. What is the probability that at the conclusion of the game, the sum of the tiles that the player has drawn is odd? Answer Choice: (A) 5/18 (B) 13/36 (C) 3/8 (D) 5/8 (E) 23/36
Answer: E
A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area Q of the triangle in terms of h? Answer Choice: (A) h/ √2 (B) h/2 (C) h/4 (D) (h)^2 (E) (h)^2/4
Answer: E
HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is? Answer Choice: (A) 36 (B) 66 (C) 132 (D) 264 (E) 152
Answer: C
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 8 pumps work to empty the tank in 1 day? Answer Choice: (A) 6 (B) 10 (C) 11 (D) 12 (E) 13
Answer: A
A bus leaves Los Angeles at 9:00 a.m. traveling north at 50 miles per hour. At 11:00 a.m. a plane leaves Los Angeles traveling north at 200 miles per hour. At what time will the plane overtake the bus? Answer Choice: (A) 11:40 a.m. (B) 12:15 p.m. (C) 10:00 a.m. (D) 11:25 a.m. (E) 10:40 a.m.
Answer: A
What is the smallest no. that should be added to 31110 to make it exactly divisible by 9? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 6 (E) 9
Answer: B
An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of? Answer Choice: (A) 600 km/hr (B) 720 km/hr (C) 730 km/hr (D) 750 km/hr (E) 760 km/hr
Answer: B
The below sequence is a bit tricky. Can you solve it to find the next number?
8, 28, 328, 4328, ? Answer Choice: (A) 29816 (B) 38291 (C) 54325 (D) 38290 (E) 54328
Answer: E
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is? Answer Choice: (A) 300 (B) 230 (C) 245 (D) 250 (E) 260
Answer: C
The curved surface of a sphere is 64 π cm2. Find its radius? Answer Choice: (A) 9 (B) 8 (C) 4 (D) 5 (E) 6
Answer: C
A card is drawn at random from a pack of 52 cards. What is the probability that it is neither a spade nor a jack? Answer Choice: (A) 9/13 (B) 4/13 (C) 2/13 (D) 6/13 (E) 5/13
Answer: A
At a contest with 3000 participants, 1/2 of the people are aged 8 to 14. Next year, the number of people aged 8 to 14 will increase by 1/6. After this change, what percentage of the total 3000 people will the 8- to 14-year-olds represent? Answer Choice: (A) 53.33% (B) 50% (C) 58.33% (D) 55.33% (E) 68%
Answer: C
Strawberries are purchased for $5/lb at the Farmer's Market. 4/5 of the strawberries will be used for making jam (1/5 of strawberries are rotten and thrown out). The strawberries are crushed and 1 lb of strawberries produces 2 cups of strawberry juice which is mixed with sugar to make the jam. If 3 cups of strawberry juice can make one jar of jam, how much money is needed to buy strawberries to make x number of jars of jam, in dollars? Answer Choice: (A) 2x (B) 75x/8 (C) 8x/15 (D) 2x/3 (E) x/2
Answer: B
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square? Answer Choice: (A) 398 (B) 379 (C) 237 (D) 480 (E) 111
Answer: D
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) 62% (B) 18% (C) 72% (D) 12% (E) 13%
Answer: D
If N is a positive integer and 14N/60 is an integer. What is the smallest Value of N for which N has exactly four different prime factors.? Answer Choice: (A) 30 (B) 60 (C) 180 (D) 210 (E) cannot be determined
Answer: D
The decimal 0.1 is how many times greater than the decimal (0.01)^4? Answer Choice: (A) 10^5 (B) 10^6 (C) 10^7 (D) 10^8 (E) 10^9
Answer: C
A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph of 3 edges and 3 points. The degree of a point is the number of edges connected to it. For, example, a triangle is a graph with 3 points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any through sequence of edges. The number of edges 'e' in the graph must satisfy the condition Answer Choice: (A) 11 ≤ e ≤ 66 (B) 10 ≤ e ≤ 66 (C) 11 ≤ e ≤ 65 (D) 0 ≤ e ≤ 11 (E) None
Answer: A
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 177 m (B) 176 m (C) 240 m (D) 187 m (E) 186 m
Answer: C
If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ? Answer Choice: (A) 2m/n + 1 (B) 2n/m + 1 (C) 2n/(m+1) (D) 2m/n (E) 2n/m
Answer: E
Jake remembers only the last three letters of his four-letter Klingon name. If he is sure that the first letter is neither "N" nor "X", and assuming that there are only 12 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant? Answer Choice: (A) A)8/100 (B) B)9/100 (C) C)1/8 (D) D)4/5 (E) E)1/10
Answer: E
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue? Answer Choice: (A) 1/455 (B) 1/458 (C) 1/453 (D) 1/456 (E) 1/454
Answer: A
For any real number x, the operatoris defined as:
(x) = x(5 − x)
If p + 1 =(p + 1), then p = Answer Choice: (A) −2 (B) 0 (C) 1 (D) 2 (E) 4
Answer: E
Last year Elaine spent 20% of her annual earnings on rent. This year she earned 20% more than last year and she spent 30% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year? Answer Choice: (A)  185.5 (B)  180.0 (C)  167.5 (D)  172.5 (E)  177.5
Answer: B
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? Answer Choice: (A) 150m (B) 157m (C) 750m (D) 850m (E) 350m
Answer: A
Calculate the average of all the numbers between 10 and 86 which are divisible by 9. Answer Choice: (A) 49.5 (B) 41.5 (C) 45.5 (D) 40.5 (E) 47.5
Answer: A
Two stations P and Q are 200 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 10 am (B) 12 noon (C) 10.30 am (D) 12.30 am (E) 11 am
Answer: B
A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 55 paise per sq m is Answer Choice: (A) Rs. 209.20 (B) Rs. 309.20 (C) Rs. 409.20 (D) Rs. 509.20 (E) None of these
Answer: C
Working at a constant rate, P can finish a job in 3 hours. Q, also working at a constant rate, can finish the same job in 15 hours. If they work together for 2 hours, how many more minutes will it take P to finish the job, working alone at his constant rate? Answer Choice: (A) 30 (B) 36 (C) 40 (D) 45 (E) 48
Answer: B
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit? Answer Choice: (A) 2205 (B) 2229 (C) 2205 (D) 2984 (E) 2223
Answer: A
Find the least number of five digits which is exactly divisible by 12 and 18? Answer Choice: (A) A)1080 (B) B)10080 (C) C)10025 (D) D)11080 (E) E)12080
Answer: B
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. 22,140, then what is B's share in the profit? Answer Choice: (A) Rs. 2000 (B) Rs. 3100 (C) Rs. 4100 (D) Rs. 5200 (E) None of these
Answer: C
Which number, when found in the denominator of any given fraction, gives a terminating decimal? Answer Choice: (A) 75 (B) 80 (C) 85 (D) 90 (E) 95
Answer: B
an article with cost price of 180 is sold at 15% profit. what is the selling price? Answer Choice: (A) 198 (B) 200 (C) 204 (D) 207 (E) 210
Answer: D
Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 120kmph. When will Raghu overtake Anup? Answer Choice: (A) 8:00am (B) 9:40am (C) 10:00am (D) 12:00pm (E) 11:10am
Answer: A
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Answer Choice: (A) 81:121 (B) 81:131 (C) 81:145 (D) 81:167 (E) 81:113
Answer: A
The sum of three consecutive multiples of 3 is 99. What is the largest number? Answer Choice: (A) 36 (B) 33 (C) 30 (D) 27 (E) 24
Answer: A
Find the average of the series : 4555,250,355,450,150 Answer Choice: (A) 129 (B) 1152 (C) 267 (D) 207 (E) 174
Answer: B
If x is a positive integer, then the least value of x for which x! is divisible by 1,000,0000 is?
Can someone please explain intuitively what the question is asking? Answer Choice: (A) 5 (B) 9 (C) 25 (D) 15 (E) 30
Answer: C
population is 20000. Pop increases by 10% every year, then the pop after 3 years is? Answer Choice: (A) 26630 (B) 26640 (C) 36620 (D) 26620 (E) 26820
Answer: D
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is: Answer Choice: (A) 288 (B) 66 (C) 245 (D) 77 (E) 29
Answer: C
The value of (4 3) + 2 is Answer Choice: (A) 33 (B) 10 (C) 14 (D) 24 (E) 11
Answer: C
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? Answer Choice: (A) 150 (B) 878 (C) 277 (D) 992 (E) 187
Answer: A
A train ,125 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is Answer Choice: (A) 250 m (B) 245 m (C) 235 m (D) 220 m (E) 240 m
Answer: A
Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.18750 then B's share is (in Rs.) Answer Choice: (A) 10000 (B) 6250 (C) 5000 (D) 7500 (E) 8500
Answer: B
If the probability that the Chicago Bears win the Super Bowl is 1/20 and the probability that the Chicago Cubs win the World Series is 1/7, what is the probability that either the Bears win the Super Bowl or the Cub win the World Series (but not both)? Answer Choice: (A) 2/7 (B) 3/16 (C) 4/25 (D) 5/28 (E) 6/37
Answer: D
The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $52.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall? Answer Choice: (A) 20.8 (B) 24.6 (C) 31.8 (D) 32.5 (E) 33.8
Answer: B
What day of the week was 1 January 1701 Answer Choice: (A) Tuesday (B) Monday (C) Friday (D) Saturday (E) Sunday
Answer: D
An American cafeteria offers 3 flavors of pizza - chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ? Answer Choice: (A) 4 (B) 8 (C) 12 (D) 9 (E) 32
Answer: D
Michael is twice as old as he was 8 years ago. What is his present age? Answer Choice: (A) 10 years (B) 4 years (C) 8 years (D) 6 years (E) 16 years
Answer: E
Helen went to the stationers and bought things worth Euro 21, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) uro 16.70 (B) uro 19.70 (C) uro 13.70 (D) uro 18.70 (E) uro 15.70
Answer: E
Set S has a mean of 10 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most? Answer Choice: (A) {2, 10} (B) {16, 16} (C) {10, 18} (D) {9, 11} (E) {7, 13}
Answer: D
A semicircle has a radius of 14. What is the approximate perimeter of the semicircle? Answer Choice: (A) 72 (B) 76 (C) 80 (D) 84 (E) 88
Answer: A
15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men? Answer Choice: (A) 13 (B) 65 (C) 30 (D) 88 (E) 12
Answer: C
If the two-digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N? Answer Choice: (A) 181 (B) 165 (C) 121 (D) 99 (E) 44
Answer: A
How many terms are there in 2,4,8,16……1024? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 16 (E) 15
Answer: A
Rs 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 8000 Find money given by 10%? Answer Choice: (A) 20000 (B) 40000 (C) 50000 (D) 60000 (E) 70000
Answer: A
Seven cards numbered from 1 to 7 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 9, what is the probability that one of the two cards drawn is numbered 6? Answer Choice: (A) 1/3 (B) 2/3 (C) 1/5 (D) 2/5 (E) 2/7
Answer: A
If a number W between 0 and 1 is selected at random, which of the following will the number most likely be between? Answer Choice: (A) 0 and 3/20 (B) 3/20 and 1/5 (C) 1/5 and 1/4 (D) 1/4 and 3/10 (E) 3/10 and 1/2
Answer: E
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 5 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour? Answer Choice: (A) (a) 60/11 (B) (b) 5 (C) (c) 26/5 (D) (d) 27/5 (E) (e) 28/5
Answer: A
the perimeter of an equilateral triangle is 45.if one of the side is the side of an isoceles triangle of perimeter 40 then what is the lenght of base of isoceles triangle. Answer Choice: (A) 10 units (B) 20 units (C) 30 units (D) 40 units (E) 15 units
Answer: A
What annual payment will discharge a debt of Rs. 1090 due in 2 years at the rate of 5% compound interest? Answer Choice: (A) 993.2 (B) 586.21 (C) 534.33 (D) 543.33 (E) 646.33
Answer: B
The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 10, which of the following represents the maximum possible value of the largest integer? Answer Choice: (A) 4 (B) 6 (C) 20 (D) 10 (E) 1
Answer: C
A man can row with a speed of 23 kmph in still water. If the stream flows at 9 kmph, then the speed in downstream is? Answer Choice: (A) 32 (B) 26 (C) 20 (D) 87 (E) 24
Answer: A
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Answer Choice: (A) 7/11 (B) 6/7 (C) 1/5 (D) 2/7 (E) None of these
Answer: C
Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 80 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take? Answer Choice: (A) 40 (B) 50 (C) 150 (D) 80 (E) 90
Answer: C
What approximate value should come in place of the question mark (?) in the following equation?
152√? + 795 = 8226 – 3486 Answer Choice: (A) 425 (B) 985 (C) 1225 (D) 1025 (E) 675
Answer: E
The average of seven numbers is 27. If one number is excluded, the average becomes 25. The excluded number is Answer Choice: (A) 25 (B) 27 (C) 30 (D) 39 (E) 40
Answer: D
If a young child was 14 months old one year ago, how old was the child, in months, x months ago? Answer Choice: (A) x − 26 (B) x − 12 (C) 14 − x (D) 24 − x (E) 26 − x
Answer: E
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally w% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar? Answer Choice: (A) 100w/(1-w) (B) 80w/(1-w) (C) 75w/(1-w) (D) 100w/(80-0.2w) (E) 100w/(80+0.2w)
Answer: E
In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,-5) and (t,-7). What is the least possible value of the slope of line L? Answer Choice: (A) 6 (B) -1 (C) -2 (D) -6 (E) -10
Answer: B