loafeihong/math_mmlu_format huggingface dataset:
There are 30 doors marked with numbers 1 to 30. There are 30 individuals marked 1 to 30.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, and 30. If every individual in the group gets one turn, then how many doors are open at the end? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 4 (E) 5
Answer: E
If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 4x years from now? Answer Choice: (A) 31 (B) 35 (C) 30 (D) 40 (E) 28
Answer: A
In a forest 110 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest? Answer Choice: (A) 150 (B) 750 (C) 1,250 (D) 1,500 (E) 2,500
Answer: D
Each of the 47 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 14 students sign up for the poetry club, 22 students for the history club, and 20 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
The product of x and y is a constant. If the value of x is increased by 30%, by what percentage must the value of y be decreased? Answer Choice: (A) 16% (B) 23.07% (C) 25% (D) 30% (E) 35%
Answer: B
Mike's age is 60 years. If he is 3 more than three times the age of his son, find the age of his son. Answer Choice: (A) 25years (B) 22 years (C) 20 years (D) 18 years (E) 19 years
Answer: E
In how many ways can you seat 9 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end? Answer Choice: (A) 720 (B) 1720 (C) 2880 (D) 5040 (E) 241920
Answer: E
On multiplying a number by 3, the product is a number each of whose digits is 7. What is the smallest such number? Answer Choice: (A) 259129 (B) 259219 (C) 259279 (D) 259259 (E) None of the above
Answer: D
A teacher will pick a group of 9 students from a group of 14 students that includes Bart and Lisa. If one of all the possible 9-student groups is picked at random, what is the probability of picking a group that includes both Bart and Lisa? Answer Choice: (A) 11/70 (B) 36/91 (C) 21/47 (D) 121/390 (E) 3/71
Answer: B
The radius of a semi circle is 6.3 cm then its perimeter is? Answer Choice: (A) 12.9 (B) 32.4 (C) 32.1 (D) 32.2 (E) 32.7
Answer: B
Find the odd man out
10,20,40,80,90,160 Answer Choice: (A) 10 (B) 90 (C) 20 (D) 80 (E) 160
Answer: B
Rs. 6000 is lent out in two parts. One part is lent at 5% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest? Answer Choice: (A) 1:1 (B) 5:6 (C) 5:2 (D) 5:8 (E) 5:2
Answer: A
If m and n are positive integers of K 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
On the shelf, there are four books of poetry, four novels, and three reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work? Answer Choice: (A) 7/15 (B) 8/25 (C) 9/35 (D) 11/45 (E) 12/55
Answer: E
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg. What might be the weight of the new person? Answer Choice: (A) 65 kg (B) 90 kg (C) 85 kg (D) Data inadequate (E) None of these
Answer: A
Ms. Popez deposits $ 130 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year? Answer Choice: (A) $118.00 (B) $120.00 (C) $157.30 (D) $122.00 (E) $140.00
Answer: C
Salaries of A, B and C were in the ratio of 3 : 5 : 7 respectively. If their salaries were increased by 50%, 60% and 50% respectively, what will be the new ratio of their respective salaries? Answer Choice: (A) 3 : 6 : 7 (B) 4 : 5 : 7 (C) 4 : 5 : 8 (D) Data inadequate (E) None of these
Answer: E
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 192 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 4 (B) 6 (C) 18 (D) Cannot be determined (E) None of these
Answer: A
If v=(10^10)-47, what is the sum of all the digit of v? Answer Choice: (A) 40 (B) 45 (C) 50 (D) 55 (E) 80
Answer: E
The difference of the squares of two consecutive even integers is divisible by which of the following numbers? Answer Choice: (A) 4 (B) 3 (C) 7 (D) 6 (E) 9
Answer: A
Two trains 170 m and 160 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) 10.9 (B) 10.7 (C) 10.3 (D) 11.88 (E) 12.2
Answer: D
How many different combinations of outcomes can you make by rolling three standard (6-sided) dice if the order of the dice does not matter? Answer Choice: (A) 24 (B) 30 (C) 56 (D) 120 (E) 216
Answer: C
The sale price sarees listed for Rs.600 after successive discount is 10% and 5% is? Answer Choice: (A) 227 (B) 513 (C) 342 (D) 787 (E) 191
Answer: B
The cost of 8 sharpeners and 12 pens is Rs.76/-. What is the cost of 20 sharpeners and 30 pens? Answer Choice: (A) Rs.172 (B) Rs.186 (C) Rs.190 (D) Rs.195 (E) Rs.250
Answer: C
By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost? Answer Choice: (A) Rs. 110 (B) Rs. 120 (C) Rs. 140 (D) Rs. 160 (E) None of these
Answer: E
If r is the square of a positive integer, which of the following must be equal to the square of the next positive integer? Answer Choice: (A) √n + 1 (B) n + 1 (C) n^2 + 1 (D) r + 2√r + 1 (E) n^2 + 2n + 1
Answer: D
Robert spent $104 in buying raw materials, $175 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount? Answer Choice: (A) A)$150 (B) B)$210 (C) C)$250 (D) D)$310 (E) E)$200
Answer: D
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is? Answer Choice: (A) 40 (B) 42 (C) 43 (D) 45 (E) 50
Answer: B
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. Find the average
speed for first 320 km of tour. Answer Choice: (A) 70.11 km/hr (B) 71.11 km/hr (C) 72.11 km/hr (D) 73.11 km/hr (E) None of these
Answer: B
A no.when divided by 125 gives a remainder 40, what remainder will be obtainedby dividingthe same no.15? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14
Answer: B
A man bought 10 crates of pine apples for $160 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 30 percent of the total cost? Answer Choice: (A) $36 (B) $46 (C) $26 (D) $16 (E) $6
Answer: C
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 14%? Answer Choice: (A) 34.375% (B) 48% (C) 50.5% (D) 52% (E) 56%
Answer: A
How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months? Answer Choice: (A) 3587.58 (B) 3587.52 (C) 3587.5 (D) 3587.51 (E) 3587.57
Answer: C
In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 60%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
Albert invested Rs. 1000 in a scheme for 3 years at compound interest rate 10% p.a. How much amount will Albert get on maturity of the fixed deposit? Answer Choice: (A) s.1300 (B) s.1005 (C) s.1031 (D) s 1331 (E) s.1120
Answer: D
A club has has $329,864 in its savings account. What is the least amount of money (in whole number of dollars) that must be added to the account the money needs to be spent evenly among nine different scouts for scouting? Answer Choice: (A) $1 (B) $2 (C) $3 (D) $4 (E) $6
Answer: D
Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 456? Answer Choice: (A) 18% (B) 26.57% (C) 20% (D) 19% (E) None of these
Answer: B
Find the average of all prime numbers between 30 and 50? Answer Choice: (A) 95.3 (B) 12.8 (C) 75.3 (D) 45.1 (E) 39.8
Answer: E
In how many no. between 100 and 1000 exactly one of the digits is 3? Answer Choice: (A) 648 (B) 512 (C) 252 (D) 225 (E) 26
Answer: D
In a kickball competition of 6 teams, how many possible matches can each team play with each other? Answer Choice: (A)  9 (B)  15 (C)  24 (D)  36 (E)  54
Answer: B
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Answer Choice: (A) 6 kmph (B) 9 kmph (C) 7 kmph (D) 5 kmph (E) 1 kmph
Answer: A
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Answer Choice: (A) 6 (B) 6.25 (C) 6.5 (D) 6.75 (E) 7
Answer: B
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction T of the cookies that were placed in the other tins were placed in the green tin? Answer Choice: (A) 15/2 (B) 9/4 (C) 5/9 (D) 7/5 (E) 9/7
Answer: C
If 0 < a < b and k = (2a + 5b)/b , which of the following must be true? Answer Choice: (A) k < 2 (B) k < 7 (C) k < 9 (D) k > 9 (E) k > 11
Answer: B
what rate percentage is 1 minute 48 seconds to an hour? Answer Choice: (A) 1% (B) 2% (C) 3% (D) 4% (E) 5%
Answer: C
A cube has two of its faces painted half red and half blue. The other faces are completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube? Answer Choice: (A) 1:9 (B) 2:3 (C) 2:5 (D) 1:6 (E) 1:4
Answer: E
A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transaction was: Answer Choice: (A) 10% loss (B) 1% loss (C) 1% gain (D) Neither loss nor profit (E) 2% gain
Answer: C
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 8 feet and a height of 10 feet, how far (in feet) did the oil level drop in the stationary tank? Answer Choice: (A) 0.008 (B) 0.08 (C) 0.064 (D) 0.64 (E) 6.4
Answer: C
A man with his bike travels to a place 150 km away at an average speed of 50 km per hour and returns at 30 km per hour. His average speed for the whole journey in km per hour is Answer Choice: (A) 35 (B) 37 (C) 37.5 (D) 40 (E) 39
Answer: C
Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $2 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed? Answer Choice: (A) $430 (B) $620 (C) $650 (D) $680 (E) $770
Answer: B
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 20 terms of the arithmetic progression? Answer Choice: (A) 300 (B) 120 (C) 150 (D) 170 (E) 200
Answer: E
The value of x + x(xx) when x = 5 is: Answer Choice: (A) A)36 (B) B)16 (C) C)18 (D) D)130 (E) E)10
Answer: D
A train 400 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is? Answer Choice: (A) 32 (B) 56 (C) 29 (D) 27 (E) 21
Answer: B
A woman has three blouses of different colors, four skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear? Answer Choice: (A) 8 (B) 12 (C) 16 (D) 17 (E) 22
Answer: E
I bought two stocks, for Rs. 500. I sold one at a loss of 20% and other at a gain of 25% and then I found each stick was sold at the same price. Find the cost of the stock sold at a loss? Answer Choice: (A) A)657 (B) B)280 (C) C)438 (D) D)306 (E) E)427
Answer: D
The maximum number of student amoung them 1080 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : Answer Choice: (A) 91 (B) 40 (C) 80 (D) 90 (E) None of these
Answer: B
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 30,000, B receives: Answer Choice: (A) s. 10,000 (B) s. 10,200 (C) s. 10,400 (D) s. 10,700 (E) s. 10,800
Answer: B
A person travels equal distances with speeds of 6km/hr, 12km/hr,18km/hr. and takes a total time of 11minutes. Find the total distance ? Answer Choice: (A) 1km (B) 1500mts (C) 1800mts (D) 2km (E) 1250mts
Answer: C
If x and y are both odd prime numbers and x < y, how many distinct positive integer factors does 2xy have? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 8 (E) 12
Answer: D
At a meeting, 6 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group? Answer Choice: (A) 12 (B) 72 (C) 120 (D) 144 (E) 720
Answer: C
The average weight of a group of boys is 20 kg. After a boy of weight 34 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Answer Choice: (A) 12 (B) 14 (C) 18 (D) 13 (E) 10
Answer: D
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? Answer Choice: (A) 1261 (B) 1262 (C) 2686 (D) 2687 (E) 2676
Answer: A
Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank? Answer Choice: (A) 9 (B) 8 (C) 6 (D) 4 (E) 10
Answer: B
A thief steals a car at 4.05 P.M. and drives it at 55 km/hr. The theft is discovered at 4.20 P.M. and the owner sets off in another car at 70 km/hr. when will he overtake the thief ? Answer Choice: (A) 4.50 P.M. (B) 5 P.M. (C) 5.10 P.M. (D) 5.15 P.M. (E) None of these
Answer: D
A trained covered x km at 70 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km. Answer Choice: (A) 22.25 (B) 99 (C) 26.25 (D) 66 (E) 887
Answer: C
If r and s are positive integers and r-s=6, which of the following has the greatest value R? Answer Choice: (A) 2r (B) 2s (C) r +s (D) 2r-s (E) 2s-r
Answer: A
Each shelf of a bookcase contains 24 books. If the librarian took out 40 books and rearranged the remaining books so that all shelves but the last one contained 20 books and the last shelf contained 20 books, how many shelves does the bookcase have? Answer Choice: (A) A)4 (B) B)5 (C) C)6 (D) D)8 (E) E)10
Answer: E
The sum of money will be triple itself in 20years and simple interest find rate of interest? Answer Choice: (A) A)5% (B) B)10% (C) C)15% (D) D)20% (E) E)25%
Answer: B
66 out of 100 the how much out of 75 Answer Choice: (A) 49.5 (B) 48.5 (C) 47.5 (D) 46.5 (E) 45.5
Answer: A
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) 226 (B) Rs.992 (C) 665 (D) 771 (E) 211
Answer: B
A trader bought a car at 20% discount on its original price. He sold it at a 100% increase on the price he bought it. What percent of profit did he make on the original price? Answer Choice: (A) 18% (B) 13% (C) 60% (D) 40% (E) 15%
Answer: C
A shopkeeper sells an item at Rs 36 and incurs a loss of 10 %. At what price should the shopkeeper sell it to gain 30 % ? (in Rs) Answer Choice: (A) 37 (B) 26 (C) 28 (D) 269 (E) 52
Answer: E
In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average? Answer Choice: (A) 20 (B) 30 (C) 34 (D) 24 (E) 12
Answer: D
How many 4-digit Q numbers (ABCD) can be formed such that |A – D| = 2? Answer Choice: (A) 2,000 (B) 1,900 (C) 1,800 (D) 1,600 (E) 1,500
Answer: E
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 36 kmph, find the speed of the stream? Answer Choice: (A) 12 kmph (B) 13 kmph (C) 14 kmph (D) 15 kmph (E) 16 kmph
Answer: A
The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 18 minutes is: Answer Choice: (A) 9.5 (B) 5.5 (C) 7.5 (D) 6.5 (E) 5.1
Answer: C
A mixture has milk and water in the ratio 5:1. 20 liters of water is added and the ratio now becomes 5:6. How much milk was present in original mixture? Answer Choice: (A) 20 liters (B) 22 liters (C) 24 liters (D) 26 liters (E) 28 liters
Answer: A
Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 4x boxes? Answer Choice: (A) 3 minutes (B) 4 minutes (C) 8 minutes (D) 6 minutes (E) 12 minutes
Answer: C
A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord Q, in feet? Answer Choice: (A) 30 (B) 25 (C) 15 (D) 10 (E) 5
Answer: D
A rectangular garden is to be twice as long as it is wide. If 240 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards? Answer Choice: (A) 40 (B) 50 (C) 60 (D) 80 (E) 100
Answer: D
A car is traveling 55 kilometers per hour. How many meters does the car travel in one minute? Answer Choice: (A) 1250m/min (B) 1360m/min (C) 2560m/min (D) 916.67m/min (E) 1890m/min
Answer: D
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 2 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 6 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again? Answer Choice: (A) 16:00. (B) 18:00 (C) 20:00 (D) 22:00. (E) 24:00.
Answer: B
The value of a machine depreciates at 20% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made? Answer Choice: (A) $250000 (B) $430000 (C) $120000 (D) $170000 (E) $150000
Answer: C
consider the sequence 1,-2,3,-4,5,-6........what is the average of first 200 terms of sequence? Answer Choice: (A) -1 (B) -0.5 (C) 0 (D) 0.5 (E) 1
Answer: B
How many factors of 270 are odd numbers greater than 1? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 9
Answer: E
If 28% of a number exceeds 18% of it by 7.2, then find the number? Answer Choice: (A) 50 (B) 34 (C) 55 (D) 60 (E) 90
Answer: E
If z = 4p, where p is a prime number greater than 2, how many different positive even divisors does z have, including z ? Answer Choice: (A)  Two (B)  Three (C)  Four (D)  Six (E)  Eight
Answer: C
A and B undertake to do a piece of work for Rs 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they can finish it in 3 days, Find the share of each? Answer Choice: (A) 300, 225, 75 (B) 200, 225, 80 (C) 400, 300, 100 (D) 500, 300, 100 (E) None of these
Answer: A
The cash realised on selling a 14% stock is Rs.109.25, brokerage being 1/4% is? Answer Choice: (A) 366 (B) 106 (C) 102 (D) 109 (E) 122
Answer: D
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following? Answer Choice: (A) 13 (B) 31 (C) 49 (D) 55 (E) 67
Answer: D
Zaya purchase 13 jars in a store then she returned 10 jars to store .Now how many jars she had? Answer Choice: (A) A)5 (B) B)11 (C) C)19 (D) D)3 (E) E)4
Answer: D
Indu gave Bindu Rs.4375 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Answer Choice: (A) s.10 (B) s.7 (C) s.5 (D) s.3 (E) s.4
Answer: B
The number of defects in the first five cars to come through a new production line are 8, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12 Answer Choice: (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III
Answer: C
Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished the course in 3 fewer hours than team Q. If team A's average speed was 5 mph greater than team Q's, what was team Q's average mph? Answer Choice: (A) 12 (B) 15 (C) 18 (D) 20 (E) 25
Answer: D
A triangle has two angles with ratio of 4:3, and the third angle is the sum of the first two. Find the smallest angle of the triangle in degrees. Answer Choice: (A) 130/11 (B) 270/7 (C) 270/11 (D) 310/7 (E) 35
Answer: B
Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose? Answer Choice: (A) 3/140 (B) 1/280 (C) 3/280 (D) 4/56 (E) 77/280
Answer: E
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number? Answer Choice: (A) 19 (B) 22 (C) 27 (D) 29 (E) 31
Answer: C
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 36 white marbles. How many red marbles could be in bag A? Answer Choice: (A) 1 (B) 3 (C) 4 (D) 6 (E) 8
Answer: E
Sum of the squares of three numbers is 314 and the sum of their products taken two at a time is 131. Find the sum? Answer Choice: (A) 20 (B) 25 (C) 26 (D) 28 (E) 24
Answer: E
Of the 3,600 employees of Company X, 1/6 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical? Answer Choice: (A)  13% (B)  22.2% (C)  20% (D)  12.5% (E)  11.1%
Answer: A
Birla company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible? Answer Choice: (A)  3,024 (B)  4,536 (C)  5,040 (D)  9,000 (E)  10,000
Answer: B
The duplicate ratio of 3:4 is? Answer Choice: (A) 9:19 (B) 9:13 (C) 9:16 (D) 9:12 (E) 9:11
Answer: C