loafeihong/math_mmlu_format huggingface dataset:
The speed of the boat in still water in 12 kmph. It can travel downstream through 48 kms in 3 hrs. In what time would it cover the same distance upstream? Answer Choice: (A) 8 hours (B) 6 hours (C) 4 hours (D) 5 hours (E) 6 hours
Answer: E
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much? Answer Choice: (A) 9680 (B) 2288 (C) 7799 (D) 1777 (E) 2991
Answer: A
A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold. Which of the following expresses this relationship ? Answer Choice: (A) x > 10y (B) x > y + 10 (C) x > y – 10 (D) x = y + 10 (E) x = y – 10
Answer: D
A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices. Answer Choice: (A) 255 (B) 816 (C) 192 (D) 100 (E) 144
Answer: B
How many unique positive odd integers less than 70 are equal to the product of a positive multiple of 5 and an odd number? Answer Choice: (A) 4 (B) 7 (C) 11 (D) 12 (E) 15
Answer: B
if m<0 and x is m percent of y, then, in terms of m, y is what percent of x? Answer Choice: (A) a)10^4m (B) b)1/100m (C) c)1/m (D) d)10/m (E) e)10,000/m
Answer: A
A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 14 km per hour and the level part at the rate of 21 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 21 km per hour for the entire route? Answer Choice: (A) 28 (B) 35 (C) 42 (D) 49 (E) 56
Answer: C
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used? Answer Choice: (A) 6 (B) 5 (C) 9 (D) 7 (E) 2
Answer: D
Fine the volume of cuboid 15 m length, 9 m breadth and 2 m height. Answer Choice: (A) 1440 (B) 1540 (C) 1140 (D) 1220 (E) 1330
Answer: A
If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 4, and 5, what is the greatest number of four-digit extensions that the company can have? Answer Choice: (A) 4 (B) 6 (C) 12 (D) 16 (E) 24
Answer: C
Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6? Answer Choice: (A) 30000 B = 40000 C = 48000 (B) 30060 B = 40800 C = 49000 (C) 33000 B = 40000 C = 48600 (D) 30000 B = 40000 C = 48000 (E) 30000 B = 43000 C = 48060
Answer: A
If (n+2)!/n!=156, n=? Answer Choice: (A) 2/131 (B) 9 (C) 10 (D) 11 (E) 12
Answer: D
What is the length of a bridge (in meters), which a train 156 meters long and travelling at 45 km/h can cross in 30 seconds? Answer Choice: (A) 203 (B) 211 (C) 219 (D) 227 (E) 235
Answer: C
There are 18 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning? Answer Choice: (A) 12 (B) 9 (C) 8 (D) 7 (E) 6
Answer: E
In how many ways can six different rings be worn on four fingers of one hand? Answer Choice: (A) 10 (B) 12 (C) 15 (D) 16 (E) 18
Answer: C
How long does a train 110 metres long running at the speed of 72 km / hr take to cross a bridge 132 metres in length? Answer Choice: (A) 9.8 sec (B) 12.1 sec (C) 12.42 sec (D) 14.3 sec (E) None
Answer: B
Each student is given a four-character identification code. The first character is a number from 0 to 9 inclusive, and the last three characters are selected from the 26 letters of the alphabet. If characters may be repeated and the same characters used in a different order constitute a different code, how many different identification codes can be generated following these rules? Answer Choice: (A) 175,760 (B) 163,120 (C) 152,340 (D) 143,590 (E) 132,670
Answer: A
If a and b are prime numbers and one the value of them is 2, which of the following CANNOT be the value of ab? Answer Choice: (A) 9 (B) 14 (C) 21 (D) 24 (E) 25
Answer: B
Solve:-
222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555) Answer Choice: (A) 888 (B) 333 (C) 555 (D) 988 (E) 777
Answer: E
-20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence? Answer Choice: (A) 0 (B) 200 (C) 440 (D) 668 (E) 762
Answer: E
If m and n are positive integers, and m=2n and k=m, then - Answer Choice: (A) m/2 is a factor of k. (B) 2m is a factor of k. (C) 3m is a factor of k/2. (D) k is a factor of m. (E) k is a factor of m/2.
Answer: A
Rodrick mixes a martini that has a volume of 'n' ounces having 35% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add? Answer Choice: (A) n/6 (B) n/3 (C) 2n/5 (D) 5n/6 (E) 8n/5
Answer: C
A boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 15 minutes. Then the speed of the current is : Answer Choice: (A) 1 kmph (B) 0.5 kmph (C) 3 kmph (D) 2.5 kmph (E) 3.5 kmph
Answer: B
The cost of.275 kgs. of sugar is Rs.26. What is the cost of 6 kgs. of sugar? Answer Choice: (A) Rs.68 (B) Rs.67 (C) Rs.572 (D) Rs.567.275 (E) Rs.75
Answer: D
Ms. Samantha sold two properties, X and Y, for $45,500 each. She sold property X for 30 % more than she paid for it and sold property Y for 30% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ? Answer Choice: (A) $9500 (B) $9000 (C) $9600 (D) $9700 (E) $9800
Answer: B
A motorcyclist made 3 roundtrips to the park until he ran out of gas back at home. Te park is 1500 meters away from his home. His speedometer was broke and he wanted to calculate his speed. It took him two and half hours to complete the journey. How fast was the motorcyclist traveling? Answer Choice: (A) 25 (B) 60 (C) 36 (D) 45 (E) 32
Answer: C
In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability W that the worker is under 25 years old? Answer Choice: (A)  0.30 (B)  0.25 (C)  0.45 (D)  0.70 (E)  0.90
Answer: D
Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 60,000 after completion of one year. What will be Madhu's share of profit? Answer Choice: (A) Rs. 27,000 (B) Rs. 24,000 (C) Rs. 30,000 (D) Rs. 36,000 (E) None of these
Answer: C
A table is bought for Rs.900/- and sold at Rs.810/- find the loss percentage Answer Choice: (A) 5% (B) 10% (C) 15% (D) 20% (E) 22%
Answer: B
The average of 5 numbers is 6.8. If one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 12.8. What number is multiplied by 3? Answer Choice: (A)  15.0 (B)  13.0 (C)  13.9 (D)  10.0 (E)  6.0
Answer: A
Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 60 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following? Answer Choice: (A) 45 (B) 54 (C) 60 (D) 75 (E) 80
Answer: B
In how many ways, a committee of 5 members can be selected from 8 men and 5 ladies, consisting of 3 men and 2 ladies? Answer Choice: (A) 75 (B) 152 (C) 175 (D) 560 (E) 612
Answer: D
The dimensions of a rectangular solid are 4 inches, 5 inches, and 9 inches. If a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube? Answer Choice: (A)  2:5 (B)  5:9 (C)  5:16 (D)  25:7 (E)  32:25
Answer: B
Two trains are moving in the same direction at 108 kmph and 36 kmph. The faster train crosses the slower train in 17 seconds. Find the length of the faster train in meters. Answer Choice: (A) 270 m (B) 340 m (C) 310 m (D) 350 m (E) 327 m
Answer: B
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same? Answer Choice: (A) 10 (B) 9 (C) 11 (D) 10.4 (E) 20
Answer: D
A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.0 km long? Answer Choice: (A) 2 mins 14 sec (B) 2 mins 34 sec (C) 150 sec (D) 164 sec (E) 2 mins 44 sec
Answer: C
Two cyclist start from the same places in opposite directions. One is going towards north at 10kmph and the other is going towards south 15kmph. What time will they take to be 50km apart? Answer Choice: (A) 1hr (B) 2hrs (C) 3hrs (D) 5hrs (E) 6hrs
Answer: B
If 2/z = 2/(z + 1) + 2/(z + 36) which of these integers could be the value of z? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 6
Answer: E
Square ABCD is the base of the cube while square EFGH is the cube's top face such that point E is above point A, point F is above point B etc. What is the distance between the midpoint of edge AB and the midpoint of edge EH if the area of square ABCD is 2? Answer Choice: (A) 1/sqrt2 (B) 1 (C) sqrt2 (D) sqrt3 (E) 2sqrt3
Answer: D
A boy has nine trousers and 14 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 88 (B) 98 (C) 126 (D) 108 (E) 111
Answer: C
If f is a function defined for all k by f(k) = k^(2/3)/16, what is f(64 k) in terms of f(k)? Answer Choice: (A) 1/8 f(k) (B) 5/8 f(k) (C) 2 f(k) (D) 16 f(k) (E) 32 f(k)
Answer: D
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each. The radius of the sphere is Answer Choice: (A) 3 cm (B) 5 cm (C) 6 cm (D) 8 cm (E) None
Answer: B
A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so? Answer Choice: (A) 6 ½ sec (B) 4 ½ sec (C) 9 ½ sec (D) 8 ½ sec (E) 2 ½ sec
Answer: D
How much time will a train of length 300 m moving at a speed of 72 kmph take to cross another train of length 500 m, moving at 36 kmph in the same direction? Answer Choice: (A) 50 (B) 80 (C) 88 (D) 76 (E) 12
Answer: B
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is? Answer Choice: (A) 20% loss (B) 20% profit (C) 10% profit (D) 25% loss (E) None of these
Answer: E
In a recent election, James received 0.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election? Answer Choice: (A) 901 (B) 989 (C) 990 (D) 991 (E) 1,001
Answer: D
If 2x-y=4 then 6x-3y=? Answer Choice: (A) 15 (B) 12 (C) 18 (D) 10 (E) 14
Answer: B
An assembly line produces 20 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time? Answer Choice: (A) 25 (B) 30 (C) 35 (D) 40 (E) 45
Answer: B
A dual sink has a right side and left side. Working alone, the right side can fill up in 5 hours. Working alone, the left side can empty in 15 hours. If it is desired that the sink should be filled, from empty, exactly 6 hours after the right side is turned on at 9:30am, then at what time should the left side also be turned on? Answer Choice: (A) 10:00am (B) 10:45am (C) 12:00pm (D) 12:30pm (E) 1:30pm
Answer: D
Some persons can do a piece of work in 8 days. Two times the number of these people will do half of that work in? Answer Choice: (A) 2 (B) 4 (C) 5 (D) 6 (E) 8
Answer: A
A number when divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is: Answer Choice: (A) 214 (B) 476 (C) 954 (D) 1908 (E) 1910
Answer: A
After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work? Answer Choice: (A) 27 (B) 28 (C) 20 (D) 24 (E) 12
Answer: C
A boy wants to go abroad by boat and return by flight. He has a choice of 8 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey? Answer Choice: (A) 20 (B) 25 (C) 30 (D) 40 (E) 50
Answer: D
At what rate p.a a sum of Rs. 2400 will become Rs. 3600/- in 5 years. Answer Choice: (A) 10% (B) 15% (C) 20% (D) 12% (E) 22%
Answer: A
Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number. Answer Choice: (A) 4 /12 (B) 4 /17 (C) 4 /15 (D) 4 /11 (E) 4 /03
Answer: A
A and B can finish a work together in 12 days, and B and C together in 16 days. If A alone works for 5 days and then B alone continues for 7 days, then remaining work is done by C in 13 days. In how many days can C alone finish the complete work? Answer Choice: (A) 24 (B) 6 (C) 5 (D) 4 (E) 3
Answer: A
A, B and C completed a piece of work, A worked for 16 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480? Answer Choice: (A) Rs.80 (B) Rs.120 (C) Rs.71.15 (D) Rs.51.15 (E) Rs.180
Answer: C
A 340-liter solution of Kola is made from 64% water, 9% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 8 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar? Answer Choice: (A) 6%. (B) 7.5%. (C) 9.2%. (D) 10.5%. (E) 26.5%.
Answer: E
In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (5,5) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A. Answer Choice: (A) (-2,6) (B) (0,4) (C) (2,-6) (D) (2,6) (E) (4,0)
Answer: D
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is? Answer Choice: (A) 87 (B) 27 (C) 90 (D) 26 (E) 29
Answer: C
Which of the following CANNOT be the median R of the four consecutive positive integers w, x, y, and z, where w < x < y < z ? Answer Choice: (A) (w+x)/2 - 1 (B) (w+z)/2 (C) (x+y)/2 (D) (y+z)/2 -1 (E) (w+x+y+z)/4
Answer: A
A money lender lends Rs.1800 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) 1984.5 (C) 2834 (D) 2827 (E) 2781
Answer: B
John has $1,600 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have? Answer Choice: (A) $200 (B) $400 (C) $600 (D) $800 (E) $1,200
Answer: B
The present ratio of students to teachers at a certain school is 35 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers? Answer Choice: (A) 5 (B) 8 (C) 10 (D) 12 (E) 15
Answer: B
Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together? Answer Choice: (A) 12 days (B) 5 days (C) 9 3/8 days (D) 8 days (E) 6 days
Answer: C
Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 6 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter? Answer Choice: (A) 1/2 (B) 1/3 (C) 1/4 (D) 2/3 (E) 2/5
Answer: A
A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage Answer Choice: (A) 4 1/2 (B) 3 1/2 (C) 2 1/2 (D) 1 1/2 (E) None of these
Answer: C
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction? Answer Choice: (A) 76 sec (B) 12 sec (C) 15 sec (D) 14 sec (E) 13 sec
Answer: B
A train passes a platform in 18 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is Answer Choice: (A) 120 (B) 250 (C) 260 (D) 230 (E) 220
Answer: A
When m divided by 288, the remainder is 47. Find the remainder when the same m is divided by 24? Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 26
Answer: D
Two good train each 650 m long, are running in opposite directions on parallel tracks. Their speeds are 45 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) 12.4 sec (B) 24.3 sec (C) 62.4 sec (D) 60.1 sec (E) None
Answer: C
How many ways are there for 5 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall? Answer Choice: (A) 6 (B) 12 (C) 240 (D) 100 (E) 720
Answer: C
There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is Answer Choice: (A) 55 (B) 21 (C) 42 (D) 51 (E) 21
Answer: E
In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg? Answer Choice: (A) 16.55 (B) 16.59 (C) 16.54 (D) 16.5 (E) 16.51
Answer: D
19 times a number gives 342. The number is Answer Choice: (A) 18 (B) 19 (C) 16 (D) None (E) Cannot be determined
Answer: A
A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 5 days. How many more days are required to complete the remaining work if they work together? Answer Choice: (A) 3 (5/18) (B) 3 (5/16) (C) 3 (5/11) (D) 3 (5/13) (E) 5/11
Answer: E
If -1<x<0, what is the median N of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3 Answer Choice: (A) 1/x (B) x^2 (C) x^2(x+1)/2 (D) N=x(x^2+1)/2 (E) x^2/2x
Answer: D
The average of two numbers is P. If one number is Q, then the other number is Answer Choice: (A) 2Q (B) 2P (C) P - Q (D) 2P-Q (E) None of these
Answer: D
The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 3. If p is any prime number then f(p)= Answer Choice: (A) p-1 (B) p-2 (C) (p+1)/2 (D) (p-1)/2 (E) 2
Answer: D
The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choice: (A) 16/35 (B) 16/39 (C) 16/36 (D) 18/33 (E) 18/32
Answer: A
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 140 square feet and its length is 4 feet longer than its width. If the uniform width between the rug and room is 4 feet, what is the area of the region uncovered by the rug (shaded region), in square feet? Answer Choice: (A) 32 (B) 36 (C) 40 (D) 46 (E) 256
Answer: E
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed musthe travel to reach A at 1 PM? Answer Choice: (A) 9 kmph (B) 11 kmph (C) 12 kmph (D) 15 kmph (E) 18 kmph
Answer: C
A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 210 kilometers? Answer Choice: (A) 8.25 gallons (B) 7.5 gallons (C) 6.55 gallons (D) 5.25 gallons (E) 4.5 gallons
Answer: D
Carolyn bought 16 gumballs, Lew bought 12 gumballs, and Bob bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 26 (E) 18
Answer: E
Exactly 28% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics? Answer Choice: (A) 20% (B) 42% (C) 44% (D) 60% (E) 84%
Answer: D
A certain country had a total annual expenditure of $1.2 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure? Answer Choice: (A)  $ 500 (B)  $1,000 (C)  $2,000 (D)  $3,000 (E)  $5,000
Answer: A
8796 x 223 + 8796 x 77 = ? Answer Choice: (A) 2736900 (B) 2738800 (C) 2658560 (D) 2716740 (E) None of them
Answer: B
The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short. Answer Choice: (A) 20 (B) 40 (C) 50 (D) 60 (E) 90
Answer: B
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect? Answer Choice: (A) 1/6 (B) 1/2 (C) 5/8 (D) 5/6 (E) 15/16
Answer: D
If x and y are integers such that (x+1)^2 is less than or equal to 9 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy? Answer Choice: (A)  -16 (B)  -8 (C)  0 (D)  14 (E)  16
Answer: B
Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/5 of an ounce and one to measure exactly 1/6 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12 Answer Choice: (A) I only (B) III only (C) 1/30 and 11/30 (D) II and III only (E) I, II, and III
Answer: C
A year ago the proportion between Sham and Amir’s age was 4:3. 1 year hence the proportion of their ages will be 5:4. The total of their current ages is : Answer Choice: (A) 16 years (B) 17 years (C) 18 years (D) 19 years (E) 20 years
Answer: A
The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together. Answer Choice: (A) 40 (B) 99 (C) 77 (D) 66 (E) 12
Answer: A
What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 843.095 + ? Answer Choice: (A) 870 (B) 790 (C) 680 (D) 770 (E) 890
Answer: C
A van takes 5 hours to cover a distance of 435 km. What speed in kph should the van maintain to cover the same distance in 3/2 of the previous time? Answer Choice: (A) 50 (B) 52 (C) 54 (D) 56 (E) 58
Answer: E