loafeihong/math_mmlu_format huggingface dataset:
A family had dinner in a restaurant and paid $30 for food. They also had to pay 9.5% sale tax and 10% for the tip. How much did they pay for the dinner? Answer Choice: (A) $35.83 (B) $35.84 (C) $35.85 (D) $35.86 (E) $35.87
Answer: C
Two coins are tossed, find the probability that two Tails are obtained Answer Choice: (A) 1/3 (B) 1/4 (C) 1/5 (D) 1/7 (E) 2/3
Answer: B
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 7 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered? Answer Choice: (A) 60 (B) 56 (C) 84 (D) 90 (E) 108
Answer: B
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches? Answer Choice: (A) 31 (B) 67 (C) 29 (D) 97 (E) 27
Answer: A
A certain airline's fleet consisted of 110 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet? Answer Choice: (A) 15 (B) 16 (C) 17 (D) 18 (E) 19
Answer: B
The circumferences of the wheels of a carriage are 6 3/14 dm and 8 1/18 dm. What is the least distance in which both wheels simultaneously complete an integral number of revolutions ? How often will the points of the two wheels which were lowest at the time of starting touch the ground together in 1 kilometre ? Answer Choice: (A) 47 (B) 24 (C) 45 (D) 34 (E) 56
Answer: C
A tour group of 25 people paid a total of $630 for entrance to a museum. If this price included a 10% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices Answer Choice: (A) $22.68 (B) $23.94 (C) $24 (D) $25.20 (E) $30
Answer: A
What is the next number in the sequence below?
1 4 9 16 25 36 49 64__ ? Answer Choice: (A) 121 (B) 100 (C) 49 (D) 64 (E) 81
Answer: E
A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 884 square feet. What is the width of the deck? Answer Choice: (A) 2 feet (B) 2.5 feet (C) 3 feet (D) 4 feet (E) 5 feet
Answer: C
The probability that B can shoot a target two out of two times is 0.35. What is the probability that the target will be missed by B immediately after such two shots? Answer Choice: (A) 0.25 (B) 0.65 (C) 0.75 (D) 0.4 (E) 0.8
Answer: D
Rectangular Floors X and Y have equal area. If Floor X is 8 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet? Answer Choice: (A)  13 1/2 (B)  18 (C)  18 3/4 (D)  21 (E)  16
Answer: E
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction x of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution? Answer Choice: (A) 11/14 (B) 13/18 (C) 4/7 (D) 3/7 (E) 3/14
Answer: A
How many positive integers less than 250 are there such that they are multiples of 15 or multiples of 16? Answer Choice: (A) 28. (B) 29. (C) 30. (D) 31. (E) 32.
Answer: C
A boy can reach a certain place in 18 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed. Answer Choice: (A) 5 km/hr. (B) 6 km/hr (C) 8 km/hr (D) 14 km/hr (E) None of these
Answer: A
There are 6 identical pens and 8 identical books. In how many different ways can a person select at least one object from this set? Answer Choice: (A) 14 (B) 28 (C) 45 (D) 62 (E) 75
Answer: D
A boat takes 19 hours for travelling downstream fro poin A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B? Answer Choice: (A) 180 km (B) 190 km (C) 220 km (D) 230 km (E) None
Answer: A
If the cost price of 10 articles is same as the selling price of 25 articles. Find the gain or loss percentage? Answer Choice: (A) 30% Gain (B) 30% Loss (C) 40% Gain (D) 60% Loss (E) 50% Loss
Answer: D
If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work ? Answer Choice: (A) 33 (B) 66 (C) 55 (D) 32 (E) 88
Answer: D
If 1/12 of the passengers on a ship are from North America, 1/4 are Europeans, 1/9 are from Africa, 1/6 are from Asia and the remaining 42 people are citizens of other continents, then how many passengers are on board the ship? Answer Choice: (A) 96 (B) 100 (C) 104 (D) 108 (E) 112
Answer: D
A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.160. Find the unknown rate of two towels? Answer Choice: (A) A)400 (B) B)450 (C) C)500 (D) D)550 (E) E)600
Answer: D
What is the minimum value of |x-4| + |x+5| + |x-5| ? Answer Choice: (A) -3 (B) 3 (C) 5 (D) 7 (E) 10
Answer: E
How many positive integers less than 100 are neither multiples of 2 or5. Answer Choice: (A) a)30 (B) b)31 (C) c)40 (D) d)33 (E) e)34
Answer: C
Two representatives must be selected from each of two groups of students. One group consists of three men and two woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ? Answer Choice: (A) 1/6 (B) 1/4 (C) 2/7 (D) 1/3 (E) 5/12
Answer: E
Divide Rs.32000 in the ratio 1:7? Answer Choice: (A) 12000, 20000 (B) 12000, 200098 (C) 4000, 28000 (D) 12000, 20006 (E) 12000, 20001
Answer: C
If the same letters represent the same digit and different letters represent different digits, what digit does the letter A represent? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
Convert the following in a fraction: 0.75% Answer Choice: (A) 75/100 (B) 3/4 (C) 1/75 (D) 2/5 (E) None of the Above
Answer: B
A bowl was filled with 100 ounces of milk, and 0.0001 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period? Answer Choice: (A) A)0.005% (B) B)0.05% (C) C)5% (D) D)50% (E) E)52%
Answer: A
Ashley and Vinie work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashley and Vinie will be chosen? Answer Choice: (A) 1/10 (B) 3/28 (C) 2/9 (D) 1/4 (E) 1/2
Answer: C
AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 7 of them still work in AMS is ? Answer Choice: (A) 0.19 (B) 1.22 (C) 0.1 (D) 0.04096 (E) none of these
Answer: D
Virat buys an old car for Rs. 40000 and spends Rs. 4000 on its repairs. If he sells the car for Rs. 60000, his gain percent is: Answer Choice: (A) 3 (4/7) % (B) 11 (1/9) % (C) 12 (2/3) % (D) 12% (E) 36.36%
Answer: E
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 50 minutes, how many times do they toll together? Answer Choice: (A) 4 (B) 10 (C) 15 (D) 16 (E) 26
Answer: E
If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is? Answer Choice: (A) 426 (B) 526 (C) 207 (D) 204 (E) 297
Answer: D
Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 56, 91 Answer Choice: (A) 22 (B) 91 (C) 37 (D) 28 (E) 21
Answer: B
rahul played weel in this season.his current batting averagge is 46.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season. Answer Choice: (A) 8 (B) 10 (C) 3 (D) 6 (E) 5
Answer: C
The simple interest on Rs. 34 for 8 months at the rate of 6 paise per rupeeper month is Answer Choice: (A) 16.32 (B) 16.9 (C) 12.25 (D) 13.21 (E) None
Answer: A
A train running at the speed of 58 km/hr crosses a pole in 9 seconds. Find the length of the train? Answer Choice: (A) 145 (B) 272 (C) 278 (D) 277 (E) 112
Answer: A
Calculate the average mark scored by Andrea if he had the following scores in an examination: 66, 60, 72, 77, 55 and 85 marks (out of 100) in English, Mathematics, Chemistry, Biology, French Language and Physics respectively? Answer Choice: (A) 74 (B) 76 (C) 70 (D) 67 (E) 69.2
Answer: E
A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 70 paise per sq. metre Answer Choice: (A) s595 (B) s780 (C) s880 (D) s480 (E) s980
Answer: A
The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average one number, namely 36 was wrongly read as 26. The correct average is : Answer Choice: (A) 12.4 (B) 14 (C) 16 (D) 18.6 (E) None of these
Answer: C
A woman sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss? Answer Choice: (A) 11% (B) 700% (C) 430% (D) 9% (E) 125
Answer: D
A man sells an article at 15% loss. Had he sold it for Rs. 70/- more he could have gained 20%. What is the cost price of the article? Answer Choice: (A) Rs.200/- (B) Rs.400/- (C) Rs.460/- (D) Rs.480/- (E) None of these
Answer: A
The sector of a circle has radius of 21 cm and central angle 180o. Find its perimeter? Answer Choice: (A) 91.5 (B) 92 (C) 108 (D) 94 (E) 95
Answer: C
If 40% of a number exceeds 25% of it by 18, then find the number? Answer Choice: (A) 120 (B) 150 (C) 200 (D) 64 (E) 100
Answer: A
Among the first 1 million numbers, 40 is a number that is pretty unique.
Can you find out why ? Answer Choice: (A) 36 (B) 31 (C) 45 (D) 39 (E) 40
Answer: E
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent? Answer Choice: (A) 22 (B) 77 (C) 18 (D) 77 (E) 65
Answer: C
If l / r is an integer, which of the following statements must be true? Answer Choice: (A) both l and r are integers (B) r / l is an integer (C) r is an integer (D) l = nr where n is an integer (E) either l or r is negative
Answer: D
Amy, Max and Nim, each have a basket full of apples. The number of apples each have is in the ratio 7:8:9 respectively. what could be the product of the number of apples. Answer Choice: (A) 4032 (B) 5012 (C) 1033 (D) 4123 (E) 5102
Answer: A
A bicyclist's wheel has a circumference of 4 meters. if the bicyclist covers 40 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: A
How many perfect squares less than 1000 end with the digit 6? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
5 friends went to a restaurant and decided to pay the bill amount equally. But 4 of them could pay Rs. 50 each as a result 5th has to pay Rs. 40 extra than his share. Find the amount paid by him. Answer Choice: (A) 130 (B) 110 (C) 50 (D) 100 (E) None
Answer: D
A glass was filled with 40 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period? Answer Choice: (A) 0.005% (B) 0.02% (C) 0.5% (D) 5% (E) 20%
Answer: C
If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio D of the resistors’ sum of A and C to the resistors’ sum of A and B? Answer Choice: (A) 2(R1+R2):(R1+2R2) (B) (R1+R2):(R1+2R2) (C) (2R1+R2):(R1+2R2) (D) 2(R1+R2):(2R1+R2) (E) 2(R1-R2):(R1+2R2)
Answer: A
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours? Answer Choice: (A) 456 kms (B) 482 kms (C) 552 kms (D) 556 kms (E) 500 kms
Answer: C
The dimensions of a field are 20 m by 5 m. A pit 10 m long, 4 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ? Answer Choice: (A) 1m (B) 5m (C) 4m (D) 2m (E) 3m
Answer: D
79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,073 bacteria each. How many bacteria are there approximately? Answer Choice: (A) 10^7 (B) 10^9 (C) 10^8 (D) 10^10 (E) 10^11
Answer: C
Each shelf of a bookcase contained 11 books. If the librarian took out 32 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 3 books, how many shelves does the bookcase have? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: C
Five kg of butter was bought by a shopkeeper for 300. One kg becomes unsaleable. He sells the remaining in such a way that on the whole he incurs a loss of 10%. At what price per kg was the butter sold? Answer Choice: (A) 67.5 (B) 52.5 (C) 60 (D) 72.5 (E) None of these
Answer: A
If C = 2D+1 where C is an Integer then which of the following is true? Answer Choice: (A) C is always Odd (B) C is always Even (C) C is a non multiple of 2 (D) C= 1 (E) C is even if D is a non integer and a multiple of 0.5
Answer: E
A man can row upstream at 7kmph and downstream at 10kmph. Find man's rate in still water ? Answer Choice: (A) 8.5km/hr (B) 6.7km/hr (C) 5km/hr (D) 1.5km/hr (E) 2.6km/hr
Answer: A
A man can row a boat at 20 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 60 km downstream? Answer Choice: (A) 12/5 hours (B) 80/13 hours (C) 30/73 hours (D) 30/13 hours (E) 50/13 hours
Answer: A
In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together? Answer Choice: (A) 240 (B) 340 (C) 430 (D) 450 (E) 480
Answer: E
A man can do a piece of work in 5 days, but with the help of his son he can do it in 4 days. In what time can the son do it alone ? Answer Choice: (A) 2 days (B) 6 days (C) 12 days (D) 20 days (E) None of these
Answer: D
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 6, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room? Answer Choice: (A) 600 (B) 1200 (C) 1500 (D) 1600 (E) 2000
Answer: E
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%? Answer Choice: (A) 20% (B) 29% (C) 70% (D) 27% (E) 5%
Answer: E
A farmer has 3,000 seeds which is enough for him to plant seeds every day for 50 days. After 10 days he loses some of the seeds and the remaining seeds is now enough for him to plant for the same period of 50 days as before. How many seeds did he lose? Answer Choice: (A) 200 (B) 600 (C) 1,000 (D) 900 (E) 700
Answer: B
What will come in place of the x in the following Number series? 3, 6, 12, x , 33 Answer Choice: (A) 33 (B) 37 (C) 39 (D) 21 (E) 43
Answer: D
If 50% of x is 30 less than 25% of 1500, then x is? Answer Choice: (A) 690 (B) 860 (C) 560 (D) 875 (E) 880
Answer: A
$600 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is Answer Choice: (A) $100 (B) $150 (C) $125 (D) $200 (E) $240
Answer: E
A sum of 14,800 amounts to 19,800 in 3 years at the rate of simple interest. What is the rate of interest? Answer Choice: (A) 12% (B) 11% (C) 16% (D) 15% (E) 18%
Answer: B
A basket contains 8 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple? Answer Choice: (A) 1/2 (B) 1/3 (C) 1/4 (D) 1/5 (E) 1/6
Answer: C
A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 5 days before the project is completed, in how many days will the project be completed? Answer Choice: (A) 18 days (B) 27 days (C) 26.67 days (D) 15 days (E) 12 days
Answer: D
The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be after they subtract an antenna with a height of z feet to the top? Answer Choice: (A) (x+z)/2 + 37 (B) 2x−(37+z) (C) (x−37)/2 + z (D) x/2 - 37 + z (E) (x−37)/2 + z
Answer: E
There are 12 cans in the refrigerator. 7 of them are red and 5 of them are blue. In how many ways we can remove 11 cans so that at least one red and at least one blue cans to remain the refrigerator. Answer Choice: (A) 4 (B) 490 (C) 493 (D) 455 (E) 445
Answer: A
What is the area of the given rectangle?
I.	Perimeter of the rectangle is 60 cm.
II.	Breadth of the rectangle is 12 cm.
III.	Sum of two adjacent sides is 30 cm. Answer Choice: (A) I only (B) II only (C) I and II only (D) II and III only (E) II and either I or III
Answer: E
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 54 kmph? Answer Choice: (A) 22 sec (B) 77 sec (C) 16.7 sec (D) 18 sec (E) 17 sec
Answer: C
If d + xy = d and x is not equal to 0, which of the following must be true? Answer Choice: (A) x=0 (B) x+y=0 (C) x<y (D) y=0 (E) x=d
Answer: D
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 60 liters and they are all empty, how much money total will it cost to fuel all cars? Answer Choice: (A) 320$ (B) 389$ (C) 420$ (D) 450$ (E) 489$
Answer: E
(1-1/n)+( 1-2/n)+(1-3/n)+…… up to n terms=? Answer Choice: (A) 1/2n (B) 1/2(n-1) (C) 1/2n(n-1) (D) none of these (E) cannot be determined
Answer: B
In a fraction, if numerator is added by 2 and denominator by 1 it results 1, and if numerator added again by 4 and denominator by 2 it results 1/2. Find the fraction? Answer Choice: (A) 3/4 (B) 5/4 (C) 7/4 (D) 9/4 (E) 11/4
Answer: B
LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is Answer Choice: (A) 269 (B) 285 (C) 300 (D) 275 (E) None of these
Answer: D
There are two numbers whose sum is 72. One number is twice the other. What are the
numbers? Answer Choice: (A) 32-55 (B) 24-48 (C) 35-42 (D) 20-40 (E) 33-55
Answer: B
In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 100 bricks in the wall, how many bricks does the bottom row contain ? Answer Choice: (A) 18 (B) 16 (C) 17 (D) 15 (E) 19
Answer: A
In track last week, the boys ran 15 laps. The girls ran 5 more
laps. Each lap is a one-fifth of a mile. How many miles did the girls run? Answer Choice: (A) 2 miles (B) 3 miles (C) 4 miles (D) 5 miles (E) 6 miles
Answer: C
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was? Answer Choice: (A) 16 years (B) 14 years (C) 18 years (D) 19 years (E) 15 years
Answer: B
P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? Answer Choice: (A) 4/5 (B) 2/7 (C) 8/15 (D) 7/5 (E) 2/8
Answer: C
3*14 + 3*15 + 3*18 + 11 = ? Answer Choice: (A) 125 (B) 126 (C) 130 (D) 148 (E) 152
Answer: E
A man can row upstream at 25 kmph and downstream at 37 kmph, and then find the speed of the man in still water? Answer Choice: (A) 86 (B) 67 (C) 31 (D) 15 (E) 17
Answer: C
A number exceeds 20% of itself by 40. The number is Answer Choice: (A) 50 (B) 60 (C) 80 (D) 320 (E) None
Answer: A
Calculate the time it will take for a train that is 120 meter long to pass a bridge of 160 meter length, if the speed of the train is 40 km/hour ? Answer Choice: (A) 21.2 seconds (B) 25.2 seconds (C) 29.2 seconds (D) 35.2 seconds (E) 11.2 seconds
Answer: B
The least value of expression 2log10 x - logx (1/100) for x>1 is: Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
A person covered one-fourth of the total distance at 22 kmph and remaining distance at 24 kmph. What is the average speed for the total distance? Answer Choice: (A) 21 (1/8) (B) 21 (1/15) (C) 23 (7/15) (D) 29 (1/15) (E) 21 (4/15)
Answer: C
24 oz of juice P and 25 oz of juice E are mixed to make smothies X and Y . The ratio of p to E in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25
Answer: D
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability T that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls? Answer Choice: (A) T=8/28 (B) T=9/28 (C) T=10/28 (D) T=10/18 (E) T=11/18
Answer: B
How many different subsets of the set {10, 14, 13, 24} are there that contain an odd number of elements? Answer Choice: (A)  3 (B)  6 (C)  8 (D)  10 (E)  12
Answer: C
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 12 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together? Answer Choice: (A) 4 (B) 4.5 (C) 6 (D) 8 (E) 6.5
Answer: C
How many possible positive integer values are there for k if -24 < 9k – 6 ≤ 3? Answer Choice: (A) Zero (B) One (C) Two (D) Three (E) Four
Answer: B
hree number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is: Answer Choice: (A) 40 (B) 50 (C) 60 (D) 70 (E) 80
Answer: A
John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4125. What is the difference between Rose ’s and Tom ’s share in the profit? Answer Choice: (A) s.340 (B) s.362 (C) s.375 (D) s.382 (E) s.390
Answer: C
By travelling at 80 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time? Answer Choice: (A) 25 kmph (B) 40 kmph (C) 35 kmph (D) 46 kmph (E) 50 kmph
Answer: B
On a particular mathematics exam, the student has 5 answers to choose from. If the student guesses at the answers, the probability of the student getting a correct answer on each question is 1/5. What is the least number of times that the student should guess in order to take the probability of getting a correct answer at least once to more than 50%. Answer Choice: (A) 4 (B) 1 (C) 2 (D) 5 (E) 6
Answer: A
Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 8 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex? Answer Choice: (A) R-4 (B) R/(R+4) (C) R/(R-16) (D) 8/(R-8) (E) 2R - 4
Answer: C
The ratio between the presents of the A and B is 2:3. If B is 5 years older than A, what will be the ratio of the ages of A and B after 5 years? Answer Choice: (A) 3:4 (B) 1:2 (C) 2:3 (D) 5:6 (E) 1:3
Answer: A
If a randomly selected non-negative single digit integer is added to {2, 3, 6, 8}. What is the probability that the median of the set will increase but the range still remains the same? Answer Choice: (A) 0.2 (B) 0.3 (C) 0.4 (D) 0.5 (E) 0.6
Answer: C