loafeihong/math_mmlu_format huggingface dataset:
The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1200, then what is the income of P1? Answer Choice: (A) s.800 (B) s.2400 (C) s.3000 (D) s.3200 (E) s.4200
Answer: C
If x : y = 4 : 7, find the value of (6x + 2y) : (5x – y) Answer Choice: (A) 7:13 (B) 38:7 (C) 3:13 (D) 2:3 (E) 38:13
Answer: E
If w/x = 1/3 and w/y = 2/3, then (x + y)/y = Answer Choice: (A) 2 (B) 4 (C) 5 (D) 3 (E) 7
Answer: D
Mike, Jim and Bob are all professional fisherman. Mike can catch 15 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour? Answer Choice: (A) 64 (B) 70 (C) 85 (D) 98. (E) 112.
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train? Answer Choice: (A) 120 m (B) 180 m (C) 324 m (D) Cannot be determined (E) None of these
Answer: E
Two tailors P and Q are paid a total of Rs. 550 per week by their employer. If P is paid 120 percent of the sum paid to Q, how much is Q paid per week? Answer Choice: (A) 200 (B) 300 (C) 150 (D) 100 (E) 250
Answer: E
Choose the missing terms out of the given alternatives.
QPO, SRQ, UTS, WVU, ? Answer Choice: (A) XVZ (B) ESD (C) ZYA (D) VWX (E) YXW
Answer: E
If a*b*c=130, b*c*d = 65, c*d*e=1000 and d*e*f=150 the (a*f)/(c*d) = ? Answer Choice: (A) 1/2 (B) 1/4 (C) 3/4 (D) 1/3 (E) None of these
Answer: D
Two unbiased coin are tossed .what is the probability of getting atmost one head? Answer Choice: (A) 1/3 (B) 3/4 (C) 5/7 (D) 8/9 (E) 2/3
Answer: B
Anne bought doughnuts for a class breakfast party. She bought 9 chocolate doughnuts, 7 coconut doughnuts, and 9 jam-filled doughnuts. How many doughnuts did Anne buy in all? Answer Choice: (A) 25 (B) 36 (C) 39 (D) 21 (E) 11
Answer: A
Four people are to be seated on a bench. How many different sitting arrangements are possible if Erik must sit next to Joe? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 12 (E) 16
Answer: C
If the sides of a rectangle are increased by 25%, what is the percentage increase in the area? Answer Choice: (A) 54.25% (B) 56.25$ (C) 53.25% (D) 55.25% (E) 58.25%
Answer: B
The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 3 as its largest number? Answer Choice: (A) 1/2 (B) 1/4 (C) 1/8 (D) 1/16 (E) 1/32
Answer: C
The age of father 10 years ago was thirce the age of his son.Ten years hence,father’s age will be twice that of his son.The ration of their present ages is : Answer Choice: (A) 5:2 (B) 7:3 (C) 9:2 (D) 13:4 (E) None of these
Answer: B
Mary’s annual income is $15,000 and John’s annual income is $16,000. By how much must Mary’s annual income increase so that it constitutes 50% of Mary and John’s combined income? Answer Choice: (A)  $1,000 (B)  $4,000 (C)  $7,000 (D)  $11,000 (E)  $25,000
Answer: A
The area of the largest circle that can be drawn inside a square of side 28 Cm in length is: Answer Choice: (A) 600 (B) 646 (C) 616 (D) 636 (E) 606
Answer: C
Find the curved surface area, if the radius of a cone is 7 m and slant height is 14 m? Answer Choice: (A) 308 (B) 369 (C) 434 (D) 476 (E) 513
Answer: A
Two brothers took the GMAT exam, the higher score is U and the lower one is V. If the difference between the two scores is equal to their average, what is the value of V/U ? Answer Choice: (A) 3 (B) 2 (C) 1/2 (D) 1/3 (E) There isn't enough data to answer the question.
Answer: D
The sale price bags listed for Rs.2000 after successive discount is 25% and 15% is? Answer Choice: (A) 415 (B) 425 (C) 435 (D) 445 (E) 455
Answer: B
The perimeters of two squares are 36 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares? Answer Choice: (A) 16.4 cm (B) 24 cm (C) 88 cm (D) 55 cm (E) 34 cm
Answer: A
In a class of 28 students in an examination in maths 4 students scored 95 marks each, 3 get zero each and the average of the rest was 45. What is the average of the whole class? Answer Choice: (A) A)47.3 (B) B)45.6 (C) C)44 (D) D)48 (E) E)49
Answer: A
Find the average marks of all the students in classes A and B, if :
classes A = 43 students (average marks of students is 65)
classes B = 54 students (average marks of students is 72) Answer Choice: (A) 41.9 (B) 68.9 (C) 65.9 (D) 61.9 (E) 62.9
Answer: B
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.2 km? Answer Choice: (A) 600 m (B) 200 m (C) 300 m (D) 400 m (E) 100 m
Answer: C
Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 35 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses? Answer Choice: (A) 17.5 minutes. (B) 35 minutes. (C) 52.5 minutes. (D) 70 minutes. (E) 105 minutes.
Answer: A
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in? Answer Choice: (A) 3 (B) 3 9/11 (C) 3 9/17 (D) 4 (E) 4 1/7
Answer: C
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 24 different signs. If the company used 22 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 24 signs? Answer Choice: (A) 246 (B) 248 (C) 92 (D) 15,128 (E) 30,256
Answer: C
Company T produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company T last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos? Answer Choice: (A) 5/17 (B) 7/17 (C) 4/17 (D) 3/17 (E) 5
Answer: B
If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a + 2)+ 2^(a + 3)+ 2^(a + 4)+ 2^(a + 5) = Answer Choice: (A) 3^(a + 1) (B) 2^(a + 1) (C) 2a (D) 2a^(a + 1) (E) 63(2^a)
Answer: E
Andrew purchased 10kg of grapes at the rate of 82 per kg and 6 kg of mangoes at the rate of 62 per kg. How much amount did he pay to the shopkeeper? Answer Choice: (A) 1000 (B) 1055 (C) 1378 (D) 1075 (E) 1080
Answer: C
If log10 2 = 0.3010, then log2 10 is equal to: Answer Choice: (A) 1000/301 (B) 0.301 (C) 600/301 (D) 0.6992 (E) 0.7254
Answer: A
Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 2 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt? Answer Choice: (A) 12 (B) 15 (C) 20 (D) 24 (E) 28
Answer: B
If pq = 3(p+ 1) + q and p and q are integers, p could be any of the following values EXCEPT: Answer Choice: (A) 2 (B) 4 (C) 3 (D) 7 (E) 9
Answer: E
If by selling 110 apples, the cost price of 120 apples is realised. The gain % is? Answer Choice: (A) 9% (B) 10% (C) 11% (D) 12% (E) 13%
Answer: C
If a:b=3:1 and b:c=1:4 find a:b:c? Answer Choice: (A) 1:6:2 (B) 3:1:4 (C) 2:3:4 (D) 2:3:3 (E) 1:4:2
Answer: B
Anne earned $3 an hour baby-sitting, and $4 an hour working in the garden. Last week she did
baby-sitting for 5 hours and garden work for 3 hours. How much more money does she need to
buy a game that costs $35? Answer Choice: (A) $8 (B) $12 (C) $6 (D) $21 (E) $10
Answer: A
What is the CP of Rs 100 stock at 6 discount, with 1/5% brokerage? Answer Choice: (A) 96.9 (B) 96.3 (C) 94.2 (D) 96.7 (E) 96.21
Answer: C
Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that all three will make a basket? Answer Choice: (A) 1/336 (B) 5/336 (C) 11/336 (D) 1/168 (E) 1/84
Answer: A
A team scored a total of 154 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team? Answer Choice: (A) A)6 (B) B)7 (C) C)8 (D) D)9 (E) E)11
Answer: E
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black? Answer Choice: (A) 21/112 (B) 36/145 (C) 3/115 (D) 2/115 (E) 3/116
Answer: B
If a + xy = a and x is not equal to 0, which of the following must be true? Answer Choice: (A) y=0 (B) x>y (C) y<x (D) x-y=0 (E) x+y=0
Answer: A
On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.4, what is the probability that Malachi will return home at the end of the day on the following Monday? Answer Choice: (A) 0.008 (B) 0.125 (C) 0.144 (D) 0.512 (E) 0.64
Answer: C
If four cards are drawn at random from a well shuffled pack of cards, what is the probability that each card is an ace? Answer Choice: (A) 6/52C4 (B) 4/52C4 (C) 1/52C4 (D) 3/52C4 (E) 5/52C4
Answer: C
A football team lost 5 yards and then gained 9. What is the team's progress? Answer Choice: (A) 1 (B) 3 (C) 2 (D) 4 (E) 5
Answer: D
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate go? Answer Choice: (A) 57% (B) 60% (C) 65% (D) 90% (E) None
Answer: A
Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print the same in 12 hours. All the machines started printing at 9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed? Answer Choice: (A) 3 pm (B) 2 pm (C) 1:00 pm (D) 11 am (E) 12 am
Answer: C
The distance from City A to City B is 200 miles. While driving from City A to City B, Glen drives at a constant speed of 40 miles per hour. Hannah leaves City A 108 minutes after Glen. What is the minimum constant speed in miles per hour that Hannah must exceed in order to arrive in City B before Glen? Answer Choice: (A) 52.5 (B) 55 (C) 57.5 (D) 60 (E) 62.5
Answer: E
The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group? Answer Choice: (A) 87 (B) 67 (C) 23 (D) 75 (E) 25
Answer: C
The value for A=(0.889 × 55)/9.97 to the nearest tenth is Answer Choice: (A) 0.5 (B) 4.63 (C) 4.9 (D) 7.7 (E) 49.1
Answer: C
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Answer Choice: (A) 87 cm2 (B) 28 cm2 (C) 98 cm2 (D) 26 cm2 (E) 40 cm2
Answer: E
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 9000 interest. The principal amount borrowed by him was. Answer Choice: (A) Rs 14000 (B) Rs 25000 (C) Rs 16000 (D) Rs 17000 (E) None of these
Answer: B
A motor pool has 500 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel? Answer Choice: (A) 165% (B) 90% (C) 53% (D) 55% (E) 10%
Answer: C
Find the average of all prime numbers between 30 and 50. Answer Choice: (A) 30 (B) 33.6 (C) 39.8 (D) 44.9 (E) None
Answer: C
An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is? Answer Choice: (A) 4.1% (B) 4.04% (C) 4.35% (D) 5.04% (E) 4%
Answer: B
A man can row at 5 kmph in still water. If the velocity of current is 2 kmph and it takes him 1 hour to row to a place and come back, how far is the place? Answer Choice: (A) 2.1 km (B) 2.9 km (C) 3.4 km (D) 4.4 km (E) 5.6 km
Answer: A
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded? Answer Choice: (A) 0.14 (B) 0.26 (C) 0.49 (D) 0.55 (E) 0.86
Answer: C
If the odd numbers between 20 to 40 are arranged in a row, what will be the 6th number from the right? Answer Choice: (A) 27 (B) 31 (C) 33 (D) 25 (E) 29
Answer: E
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a black and the second card is a spade is? Answer Choice: (A) 1/16 (B) 1/8 (C) 1/13 (D) 1/26 (E) 1/52
Answer: B
What would be the seventh rung of the following pyramid?
1
11
21
1211
111221
312211
13112221 Answer Choice: (A) 1113213211 (B) 1223213211 (C) 1527321321 (D) 1112343211 (E) 1532213211
Answer: A
Cindy wants to buy dolls for her playhouse. Each doll costs $10. Cindy's mother gives her $30 to spend. How many dolls can Cindy buy with the money her mother gave her? Answer Choice: (A) 5 (B) 10 (C) 2 (D) 1 (E) 3
Answer: E
Which of the following inequalities is equivalent to 2 + 5x > 17? Answer Choice: (A)  x > -2 (B)  x > 3 (C)  x > -3 (D)  x < -3 (E)  x < 3
Answer: B
A man has Rs. 560 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Answer Choice: (A) 90 (B) 94 (C) 96 (D) 105 (E) 99
Answer: D
I. x2 - x - 42 = 0,
II. y2 - 17y + 72 = 0 to solve both the equations to find the values of x and y? Answer Choice: (A) If x < y (B) If x > y (C) If x ≤ y (D) If x ≥ y (E) If x = y or the relationship between x and y cannot be established.
Answer: A
4
x
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y
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0
which of the following is greatest? Answer Choice: (A) x+3y (B) 2x-y (C) -(5x+y) (D) -x+2y (E) 4x+3y
Answer: C
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of 11,400 at the end of nine years, how much money did he borrow? Answer Choice: (A) 10,000 (B) 12,000 (C) 14,000 (D) 16,000 (E) None of these
Answer: B
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 110 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Answer Choice: (A) 28 sec (B) 16 sec (C) 35 sec (D) 18 sec (E) 17 sec
Answer: C
If 12 persons are seated in a row, the number of ways of selecting 3 persons from them, so that no two of them are seated next to each other is Answer Choice: (A) 85 (B) 100 (C) 120 (D) 240 (E) None of these
Answer: C
A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in. Answer Choice: (A) 11 days (B) 13 days (C) 21 days (D) 16 days (E) 18 days
Answer: C
An ant and a blind spider are on opposite corners of a cube. The ant is stationary and the spider moves at random from one corner to another along the edges only. What is the expected number of turns before the spider reaches the ant? Answer Choice: (A) 20 (B) 43 (C) 38 (D) 10 (E) 55
Answer: D
Find the value of 72519 x 9999 = m? Answer Choice: (A) 345454621 (B) 565767443 (C) 457672466 (D) 725117481 (E) 665355224
Answer: D
The average of five numbers is 70. If one number is excluded, the average becomes 72. The excluded number is? Answer Choice: (A) 8 (B) 6 (C) 58 (D) 35 (E) 62
Answer: E
Convert the 12/36 m/s into kilometers per hour? Answer Choice: (A) 3.5 kmph. (B) 2.5 kmph. (C) 1.2 kmph. (D) 1.5 kmph. (E) 1.9 kmph.
Answer: C
The average age 4 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number? Answer Choice: (A) 8 years (B) 17 years (C) 18 years (D) 12 years (E) 11 years
Answer: A
Real-estate salesman Z is selling a house at a 10 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 10 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 10 percent discount. Salesman Y's final price is what fraction of salesman X's final price? Answer Choice: (A) 38/6 (B) 38/5 (C) 77/81 (D) 38/7 (E) 38/10
Answer: C
10 play kabadi, 35 play kho kho only, 5 play both gmaes. Then how many in total? Answer Choice: (A) 30 (B) 35 (C) 38 (D) 40 (E) 45
Answer: E
If a toy store's revenue in November was 4/5 of its revenue in December and its revenue in January was 1/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? Answer Choice: (A)  1/4 (B)  1/2 (C)  2/3 (D)  2 (E)  4
Answer: D
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 246 m, what is its area? Answer Choice: (A) 2510 (B) 3650 (C) 2530 (D) 2515 (E) 2520
Answer: B
If a randomly selected non-negative single digit integer is added to {2, 3, 5, 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
There are 12 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to? Answer Choice: (A) 9!*2! (B) 7!*2! (C) 6!*1! (D) 2!*1! (E) 5!*1!
Answer: A
The C.P of 20 pens is equal to the S.P of 22 pens. Find his gain % or loss%? Answer Choice: (A) 6 2/11% (B) 7 2/11% (C) 9 1/11% (D) 8 1/11% (E) 10 1/11%
Answer: C
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed. Answer Choice: (A) 36 (B) 54 (C) 67 (D) 76 (E) None
Answer: B
which of the following could be the greatest common factor of positive integers 4 and 8 ?
I) 8 II) 4 III) 2 Answer Choice: (A) III only (B) II only (C) I only (D) I,II only (E) II,III only
Answer: B
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers? Answer Choice: (A) 82,92 (B) 63,98 (C) 83,98 (D) 60,84 (E) 63,98
Answer: D
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day? Answer Choice: (A) 10 (B) 5 (C) 15 (D) 20 (E) 25
Answer: C
In a School, 69 percent of students Participated in Chess, 74 percent of students Participated in Table Tennis, 84 percent Participated in Carom and 79 percent Participated in shuttle.
Can you find out the percentage of students who Participated in all 4 Competition? Answer Choice: (A) 12% (B) 10% (C) 6% (D) 18% (E) 19%
Answer: C
Sam's grade was 60th percentile of the 100 grades for his class. Of the 120 grades from another class, 48 were higher than Sam's, and the rest were lower. If no other grade was the same as Sam's grade, then Sam's grade was what percentile of the grades of the two classes of two classes combined? Answer Choice: (A) 51st (B) 60th (C) 67th (D) 72nd (E) 92nd
Answer: B
How many numbers amongst the numbers 7 to 41 are there which are exactly divisible by 9 but not by 3? Answer Choice: (A) Nil (B) 1 (C) 2 (D) 3 (E) More than 3
Answer: A
A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $300,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment? Answer Choice: (A) $1,250 (B) $1,733 (C) $3,466 (D) $13,333 (E) $20,796
Answer: A
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ? Answer Choice: (A) 339 (B) NONE (C) 349 (D) 369 (E) 379
Answer: C
A farm has chickens, horses and sheep. There are six times the number of chickens and cows than sheep. If there are more horses than chickens or sheep, and together, horsess and chickens have a total of 100 feet and heads, how many sheep live at the farm? Answer Choice: (A) 5 (B) 4 (C) 10 (D) 14 (E) 17
Answer: B
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 42 kmph, find the speed of the stream? Answer Choice: (A) 77 (B) 88 (C) 14 (D) 12 (E) 17
Answer: C
A fort had provision of food for 180 men for 45 days. After 25 days, 40 men left the fort. The number of days for which the remaining food will last, is: Answer Choice: (A) 29	1/5 (B) 25	3/4 (C) 42 (D) 54 (E) 45
Answer: B
A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary?
I. Number of toys sold.
II. Cost price of each toy. Answer Choice: (A) Only I is necessary (B) Only II is necessary (C) Both I and II are necessary (D) Either I or II ins necessary (E) None of these
Answer: B
Two trains 140 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 sec (B) 10.1 sec (C) 10.6 sec (D) 10.8 sec (E) 10.2 sec
Answer: D
Mr. Yutaro’s class contains 6 boys and 10 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen? Answer Choice: (A) 9/48 (B) 9/20 (C) 1/2 (D) 27/48 (E) 13/16
Answer: C
David started a business investing Rs. 70,000. Robert joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio amoung David, Robert and Sagar respectively, 3 years after David started the business? Answer Choice: (A) 12 : 10 : 16 (B) 12 : 15 : 16 (C) 15 : 12 : 16 (D) 16 : 15 : 12 (E) None
Answer: B
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1860 are infected, how manyworkersinhabit the colony? Answer Choice: (A) 1500 (B) 2500 (C) 2750 (D) 3000 (E) 3250
Answer: A
A travel agent offers a vacation plan which costs 'a' dollars for the first day, and a/10 for each additional day. How much does a vacation of b days cost, where b > 1. Answer Choice: (A) (ab+9a)/5 (B) (ab+8a)/10 (C) (ab+9a)/2 (D) (ab+5a)/10 (E) (ab+9a)/10
Answer: E
Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities -4 <= x <= 5 and 6<= y<= 16. How many different triangles with these properties could be constructed? Answer Choice: (A) 110 (B) 1,100 (C) 9,900 (D) 10,000 (E) 12,100
Answer: C
How many cases do you need if you have to pack 50 dozens of bar soaps into cases that each hold 50 soaps? Answer Choice: (A) 15 (B) 14 (C) 13 (D) 12 (E) 10
Answer: D
If 3^w - 3^(w-1) = 162 then w(w-1) = Answer Choice: (A) 12 (B) 16 (C) 20 (D) 30 (E) 81
Answer: C
In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together? Answer Choice: (A) 610 (B) 720 (C) 825 (D) 920 (E) 925
Answer: B
For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value. Answer Choice: (A) 13 (B) 42 (C) 55 (D) 27 (E) 19
Answer: D
Find the average of first 60 natural numbers. Answer Choice: (A) 20.5 (B) 18 (C) 30.5 (D) 19 (E) 17
Answer: C