loafeihong/math_mmlu_format huggingface dataset:
BIRLA company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks? Answer Choice: (A)  16 (B)  64 (C)  256 (D)  576 (E)  4096
Answer: C
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1235 (B) 1345 (C) 1450 (D) 1567 (E) 1635
Answer: E
The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > x or x > 0? Answer Choice: (A) 7/8 (B) 5/6 (C) 3/8 (D) 1/2 (E) 3/4
Answer: A
11 is subtracted from 40% of a number and results is 23. What is the number? Answer Choice: (A) 160 (B) 92 (C) 88 (D) 85 (E) 34
Answer: D
22
a2
+ 3b
____
80
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b ? Answer Choice: (A) 2 (B) 7 (C) 9 (D) 11 (E) 14
Answer: E
The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is? Answer Choice: (A) 24 (B) 26 (C) 27 (D) 29 (E) 30
Answer: C
20.05 + 35.603- …… =43.087 Answer Choice: (A) 10.263 (B) 12.566 (C) 15.426 (D) 13.286 (E) 14.286
Answer: B
Four people need to cross a dark river at night.
* They have only one torch and the river is too risky to cross without the torch.
* If all people cross simultaneously then torch light wont be sufficient.
* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes.
What is the shortest time needed for all four of them to cross the river ? Answer Choice: (A) 17 minutes (B) 18 minutes (C) 19 minutes (D) 20 minutes (E) 21 minutes
Answer: A
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part? Answer Choice: (A) 42 (B) 56 (C) 74 (D) 36 (E) 55
Answer: A
A sum of Rs.5000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. Answer Choice: (A) 2888 (B) 3120 (C) 2877 (D) 2999 (E) 3250
Answer: E
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 30%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged? Answer Choice: (A) 100% decrease (B) 60% decrease (C) 40% decrease (D) 40% increase (E) 50% increase
Answer: B
In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 5 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet? Answer Choice: (A) 168. (B) 80. (C) 56. (D) 48. (E) 64.
Answer: E
For a,e,d are the positive integers, and d|a means that “a is divisible by d”, if d|ae, which of the following must be true? Answer Choice: (A) d|a (B) d|e (C) d|2ae (D) d|(a+e) (E) d|(a-e)
Answer: C
The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8600 for a computer table, then what was the cost price of the computer table? Answer Choice: (A) Rs.6289 (B) Rs.6298 (C) Rs.6290 (D) Rs.7166 (E) Rs.7708
Answer: D
How many two-digit numbers yield a remainder of 2 when divided by both 5 and 16? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
A committee has 5 men and 6 boys. What are the number of ways of selecting 2 men and 3 boys from the given committee? Answer Choice: (A) A)165 (B) B)178 (C) C)180 (D) D)200 (E) E)210
Answer: D
Two taps A and B can fill a cistern in 12 minutes and 18 minutes respectively. They are turned on at the same time. If the tap A is turned off after 4 minutes, how long will tap B take to fill the rest of the cistern ? Answer Choice: (A) 8 min. (B) 9 min. (C) 10 min. (D) 7 min. (E) None of these
Answer: A
Two trains 160 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) 10.52 sec (B) 18.8 sec (C) 14.52 sec (D) 10.8 sec (E) 11.52 sec
Answer: E
What is the maximum number of points that 10 circles of different radii intersect? Answer Choice: (A) 24 (B) 26 (C) 33 (D) 90 (E) 100
Answer: D
A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 700,000? Answer Choice: (A) 60 (B) 100 (C) 180 (D) 240 (E) 300
Answer: B
Which of the following is the full form of the term SLR as used in the banking sector? Answer Choice: (A) Social Lending Ratio (B) Statutory Liquidity Ratio (C) Scheduled Liquidity Rate (D) Separate Lending Rate (E) None of these
Answer: B
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 36 minutes. The waste pipe can empty the full cistern in? Answer Choice: (A) 8.2 (B) 7.2 (C) 6.2 (D) 9.2 (E) 5.2
Answer: B
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) 340 (C) 350 (D) 320 (E) 310
Answer: C
If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 5 m of the same rod? Answer Choice: (A) 22.8 kg (B) 25.6 kg (C) 19 kg (D) 26.5 kg (E) None of these
Answer: C
It takes 80 identical printing machines 5 hours to print 200,000 posters. How long would it take 50 of these machines to print the same total? Answer Choice: (A) 6 hr, 40 min (B) 7 hr (C) 7 hr, 30 min (D) 8 hr (E) 10 hr
Answer: B
How many words with or without meaning, can be formed by using all the letters of the word, â€˜MOUSEâ€™, using each letter exactly once? Answer Choice: (A) 120 (B) 140 (C) 160 (D) 720 (E) 820
Answer: A
Find the angle between the hour hand and the minute hand of a clock when
3.25. Answer Choice: (A) 47.5 (B) 46.5 (C) 45.5 (D) 48.5 (E) 44.5
Answer: A
x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median Q of x, y, and z?
I. 9
II. 10
III. 11 Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I and III only
Answer: E
The price of a laptop . set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? Answer Choice: (A) A)19009 (B) B)19074 (C) C)19008 (D) D)19000 (E) E)19002
Answer: D
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then Answer Choice: (A) XB < YD (B) XB < YD (C) AX > XB (D) AX < XB (E) CY < AB
Answer: E
In a joint business, the capital of A, B and C were Rs. 45000, Rs. 30000 and Rs. 22500 respectively. A withdrew half of his capital after 4 months. After 9 months of this withdrawal, there was a total profit of Rs. 28400. Find the each share of profit? Answer Choice: (A) 7800 (B) 8000 (C) 8200 (D) 8400 (E) 8600
Answer: A
A, B and C rents a pasture for Rs.638. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? Answer Choice: (A) 270 (B) 198 (C) 676 (D) 156 (E) 122
Answer: B
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 55, what is the compound interest on the same sum at the rate and for the same time? Answer Choice: (A) s. 56.37 (B) s. 53.22 (C) s. 56.219 (D) s. 51.18 (E) s. 51.11
Answer: A
If an amount of Rs 41,800 is distributed equally
amongst 22 persons, how much amount would each
person get? Answer Choice: (A) Rs 1900 (B) Rs 2000 (C) Rs 745 (D) Rs 765 (E) None
Answer: A
The simple interest on a sum of money will be Rs.800 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? Answer Choice: (A) 8981 (B) 3799 (C) 1200 (D) 1600 (E) 1732
Answer: D
Find the simple interest on Rs.620 for 10 months at 10 paisa per month? Answer Choice: (A) 277 (B) 620 (C) 640 (D) 678 (E) 121
Answer: B
You collect coins. Suppose you start out with 18. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 11
Answer: E
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 8 sec. What is the length of the platform? Answer Choice: (A) 287 m (B) 350 m (C) 1267 m (D) 1287 m (E) 1162.5 m
Answer: E
A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is: Answer Choice: (A) 100/17% loss (B) 100/17% gain (C) 20/3% loss (D) None of these (E) Cannot be determined
Answer: B
If the simple interest on $1500 increase by $20,when the time increase by 2 years. Find the rate percent per annum. Answer Choice: (A) 0.6% (B) 0.5% (C) 0.1% (D) 0.2% (E) 0.7%
Answer: E
A train 175 m long, running with a speed of 63 km/hr will pass a tree in? Answer Choice: (A) 22 sec (B) 16 sec (C) 17 sec (D) 88 sec (E) 10 sec
Answer: E
A sum of Rs. 1870 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is: Answer Choice: (A) Rs. 120 (B) Rs. 160 (C) Rs. 240 (D) Rs. 330 (E) None
Answer: D
A parking space have 8 different slots. 8 cars has to arrange in 8 slots. But there are exactly 4 cars between 3 specified cars. In how many ways cars can be arranged? Answer Choice: (A) 720 (B) 650 (C) 1500 (D) 1640 (E) 1440
Answer: A
3/4 of 1/2 of 2/5 of 5060 = ? Answer Choice: (A) 392 (B) 759 (C) 753 (D) 493 (E) 540
Answer: B
A rectangular grass field is 85 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? Answer Choice: (A) 1450 (B) 1971 (C) 9676 (D) 1679 (E) 2691
Answer: A
At a certain conference, 42% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 40% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance? Answer Choice: (A)  18.0% (B)  62.0% (C)  79.2% (D)  70.0% (E)  82.0%
Answer: D
2 pipes function simultaneously the reservoir will be filled in 12 hrs. One pipe fills reservoir 10 hrs faster thanthe other. How many hours does the faster pipe take to fill the reservoir? Answer Choice: (A) 10 (B) 20 (C) 30 (D) 34 (E) 36
Answer: B
The percentage profit earned by selling an article for Rs. 1820 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit? Answer Choice: (A) 3000 (B) 1230 (C) 2000 (D) 5600 (E) 1937.5
Answer: E
If x - 8 = |x - 9|, then x=? Answer Choice: (A) 8.5 (B) 8 (C) 9 (D) 6 (E) 4
Answer: A
If a*b*c=130, b*c*d = 65, c*d*e=500 and d*e*f=250 the (a*f)/(c*d) = ? Answer Choice: (A) 1/2 (B) 1/4 (C) 3/4 (D) 2/3 (E) 1
Answer: E
Average weight of 10 people increased by 0.5 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is Answer Choice: (A) 50 (B) 55 (C) 60 (D) 65 (E) 70
Answer: A
A coin is tossed 4 times. What is the probability of getting exactly 3 heads? Answer Choice: (A) 1/2 (B) 1/4 (C) 1/8 (D) 1/16 (E) 3/16
Answer: B
Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations Y of classes are available? Answer Choice: (A) 3 (B) 6 (C) Y=7 (D) Y=9 (E) Y=12
Answer: D
If 20 men can build a water fountain 56 metres long in 3 days, what length of a similar water fountain can be built by 35 men in 3 days? Answer Choice: (A) 40 m (B) 64 m (C) 77 m (D) 89 m (E) 98 m
Answer: E
What is the sum of all possible solutions to |x - 5|^2 + |x - 5| = 20 ? Answer Choice: (A) -1 (B) 6 (C) 7 (D) 10 (E) 14
Answer: D
Approximately how many revolutions will be made by a car tire with a 10-inch diameter if the car travels 1⁄2 mile? Answer Choice: (A) 120 (B) 180 (C) 1003 (D) 1000 (E) 1,440
Answer: C
Robin mixes two liquids, one blue in coloUr and other red in colour in the ratio 2:3 and sells the mixture at the rate of $20 per liter, thereby making a 25% profit on his outlay. The blue liquid costs Robin $5 per litre lesser than the red liquid. How much does a liter of red liquid cost? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: C
A cricketer scored 136 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets. Answer Choice: (A) 46.2% (B) 54.54 % (C) 55.88% (D) 70% (E) None of these
Answer: C
A set of numbers has the property that for any number t in the set, 2t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. -3
II. 1
III. 6 Answer Choice: (A)  I only (B)  II only (C)  I and II only (D)  II and III only (E)  I, II, and III
Answer: A
John has on his shelf four books of poetry, three novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work? Answer Choice: (A) 1/6 (B) 2/5 (C) 3/10 (D) 7/20 (E) 8/45
Answer: A
The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is Answer Choice: (A)  587 × 108 miles (B)  587 × 1010 miles (C)  587 × 10-10 miles (D)  587 × 1012 miles (E)  587 × 10-12 miles
Answer: D
3 building 3 floors how many floors are in the 3 buildings? Answer Choice: (A) 1 (B) 6 (C) 3 (D) 9 (E) 10
Answer: C
Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 3,000, how much money did investors B and C earn in total? Answer Choice: (A) $4,000 (B) $4,900 (C) $5,600 (D) $9,000 (E) $10,500
Answer: D
If (x-11)(x-3) < 0, which of the following must be true? Answer Choice: (A) x^2 + 5x + 6 < 0 (B) x^2 + 5x + 6 > 0 (C) 5 - x < 0 (D) x - 5 < 0 (E) 11 - x > 0
Answer: E
What is the ratio G of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled? Answer Choice: (A) 1/4 (B) 3/8 (C) 1/2 (D) 3/5 (E) 2
Answer: D
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent? Answer Choice: (A) Rs.45 (B) Rs.45 (C) Rs.55 (D) Rs.60 (E) None
Answer: A
The sum of three consecutive even numbers is 42. Find the middle number of the three? Answer Choice: (A) 14 (B) 15 (C) 52 (D) 25 (E) 32
Answer: A
If 5^5 × 5^7 = (5^4)^x , then what is the value of x? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: B
A loan has a variable interest rate that fluctuates between 5% and 9% of the base payment per month. If base payments remain at $250 each month and an additional monthly surcharge of 1% is added to the combined (base + interest), what would be the greatest possible payment due in any given month? Answer Choice: (A) $ 262.50 (B) $ 265.13 (C) $ 272.50 (D) $ 275.23 (E) $ 286.13
Answer: D
5020−(1004÷20.08)=? Answer Choice: (A) 4520 (B) 4350 (C) 4210 (D) 4100 (E) 4970
Answer: E
If a lies in the range (-4,3) then which of the following statements must be true? Answer Choice: (A) a^4 >a^3 > a^2 > a (B) a > a^2 > a^3 > a^4 (C) a^4 > a^2 > a^3 >a (D) a^2 > a^4 > a^3 >a (E) a^2 > a^4 > a > a^3
Answer: D
Half of the volume of the milk and water mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by the substitution(or replacement method) the mixture of ratio 7:5 was formed from the mixture 7:3 by adding the water in it. if 240 L milk is required in the replacement method ,what it the total amount of water was added t6o prepare the mixture 7:5 ? Answer Choice: (A) 100 L (B) 50 L (C) 400 L (D) 300 L (E) 200 L
Answer: D
By selling 32 apples in a dollar, a man loses 40%. How many apples must he sell in a dollar to gain 20% profit? Answer Choice: (A) 16 (B) 18 (C) 20 (D) 25 (E) 28
Answer: A
A and B together can do a work In 4 days. A alone can do it in 12days.what time B will take to do the work alone? Answer Choice: (A) 6 days (B) 8 days (C) 12 days (D) 10 days (E) 5 days
Answer: A
A store owner estimates that the average price of type A products will increase by 15% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year? Answer Choice: (A) $14,305 (B) $15,325 (C) $16,000 (D) $16,225 (E) $17,155
Answer: A
A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight then find the loss incurred. Answer Choice: (A) Rs. 5750 (B) Rs. 6000 (C) Rs. 5500 (D) Rs. 5000 (E) Rs. 7000
Answer: D
a man and a woman, walking together start out by boyh taking a step with the left foot.in order to keep together, the man whose stride is longer,takes two steps while the woman takes three.how many steps will the woman have taken they are both about to step out on the right foot for the first time together? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: B
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 59 liters and they are all empty, how much money total will it cost to fuel all cars? Answer Choice: (A) 320.20$ (B) 380.20$ (C) 421.20$ (D) 451.20$ (E) 481.20$
Answer: E
If it takes Alex 20 minutes to walk from home to School and it takes him 10 minutes to walk from home to the supermarket, which of the following COULD be true?
I. The School is closer to Alex's home than the supermarket.
II. To walk to School, Alex will spend double the time it takes him to walk to the supermarket.
III. Alex will spend more time walking to the school than walking to the supermarket. Answer Choice: (A)  I only (B)  I and II only (C)  I and III only (D)  II and III only (E)  I, II and III
Answer: D
A house is getting ready for dinner table. There are 15 members in the family, and the butler must assign 10 people to the following positions: 1 main chair, 4 on left side, 4 on right side, and 1 most further away seat. Only 3 of the family members are elderly enough to sit on the main chair, and they will not sit at any other place. The other members can sit on any seat. How many different groupings are possible? Answer Choice: (A) 64585 (B) 100 (C) 80 (D) 59400 (E) 789300
Answer: D
A works twice as fast as B.If B can complete a work in 18 days independently,the number of days in which A and B can together finish the work is: Answer Choice: (A) 4 days (B) 6 days (C) 8 days (D) 10 days (E) 12 days
Answer: B
A train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 37 (B) 240 (C) 288 (D) 267 (E) 165
Answer: E
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent? Answer Choice: (A) 18 2/61% (B) 18 2/11% (C) 18 2/81% (D) 18 2/12% (E) 18 2/21%
Answer: B
If the difference of two numbers is 3 and the difference of their square is 39, then the larger number is: Answer Choice: (A) 9 (B) 2 (C) 12 (D) 14 (E) 8
Answer: E
9 people decided to split the food order evenly. If the bill was $86.14 dollars, how much money should be removed with 1 cent as the smallest unit? Answer Choice: (A) $86.10 (B) $86.11 (C) $86.12 (D) $86.13 (E) $86.19
Answer: D
How many words can be formed by using all letters of the word 'BIHAR'? Answer Choice: (A) 720 (B) 24 (C) 120 (D) 60 (E) None of these
Answer: C
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is: Answer Choice: (A) 542 (B) 546 (C) 566 (D) 548 (E) 589
Answer: D
The least number which must be subtracted from 909 to make it exactly divisible by 9 is: Answer Choice: (A) A)2 (B) B)3 (C) C)0 (D) D)5 (E) E)6
Answer: C
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $11,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college? Answer Choice: (A) 62,000 (B) 85,500 (C) 95,500 (D) 100,500 (E) 100,000
Answer: C
Find the maximum value of n such that 50! is perfectly divisible by 2520^n Answer Choice: (A) 7 (B) 8 (C) 9 (D) 6 (E) 5
Answer: B
A comic collector sells his memorabilia through an on-line distributor, which take a commission of 5% of the price set by the collector. The on-line store obtains the product from an artist at the price of $100 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 5% profit on the cost of the item? Answer Choice: (A) 98.42 (B) 105.15 (C) 110.53 (D) 107.22 (E) 66.68
Answer: C
The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is Answer Choice: (A) 1.2 km (B) 1.8 km (C) 2.4 km (D) 3.6 km (E) 1.6 km
Answer: D
(5568 / 87)1/3 + (72 x 2)1/2 = (?)1/2 ? Answer Choice: (A) 256 (B) 4 (C) √2 (D) 16 (E) None
Answer: A
A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours? Answer Choice: (A) 425 miles (B) 625 miles (C) 325 miles (D) 225 miles (E) 625 miles
Answer: C
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present? Answer Choice: (A) 32 years (B) 36 years (C) 40 years (D) 48 years (E) None
Answer: C
If 4 people are selected from a group of 7 married couples, what is the probability that none of them would be married to each other? Answer Choice: (A) 1/33 (B) 2/33 (C) 1/3 (D) 16/33 (E) 47/84
Answer: E
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red? Answer Choice: (A) 5/21 (B) 5/24 (C) 5/26 (D) 5/31 (E) 6/29
Answer: C
There are 8 orators A, B, C, D, E, F, G and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C. Answer Choice: (A) 8! / 3! (B) 8! / 6! (C) 5! x 3! (D) 8! / (5! x 3!) (E) 8! / (5! x 4!)
Answer: A
A copy machine, working at a constant rate, makes 40 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ? Answer Choice: (A) 90 (B) 2,700 (C) 4,500 (D) 5,400 (E) 2,850
Answer: E
The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 12 years more than twice the age of the son. Find the present age of the father. Answer Choice: (A) 33 (B) 39 (C) 29 (D) 40 (E) 48
Answer: B