loafeihong/math_mmlu_format huggingface dataset:
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Answer Choice: (A) 81 : 121 (B) 81 : 126 (C) 81 : 120 (D) 81 : 128 (E) 81 : 122
Answer: A
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: A
Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done? Answer Choice: (A) 16 (B) 77 (C) 88 (D) 55 (E) 41
Answer: A
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, x Answer Choice: (A) 8 (B) 3 (C) 4 (D) 5 (E) 6
Answer: A
How many seconds will a 400 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 20 (B) 30 (C) 40 (D) 24 (E) 60
Answer: D
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? Answer Choice: (A) 30/17 hours (B) 30/15 hours (C) 36/13 hours (D) 30/13 hours (E) 80/13 hours
Answer: D
Of the 28 participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age? Answer Choice: (A) 341 (B) 441 (C) 641 (D) 941 (E) 201
Answer: B
Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0? Answer Choice: (A) 3x2 + 5x - 2 = 0 (B) 3x2 + 5x + 2 = 0 (C) 3x2 - 5x + 2 = 0 (D) 3x2 - 5x - 2 = 0 (E) None of these
Answer: B
A train covers a distance of 100km in 1 hour. If its speed is decreased by 20km/hr, the time taken by the car to cover the same distance will be? Answer Choice: (A) 1hr (B) 1hr 15min (C) 50min (D) 1hr 30min (E) 1hr 45min
Answer: B
Ram completes a piece of work in 15 days, Raja completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is? Answer Choice: (A) 6 days (B) 8 days (C) 10 days (D) 8.57 days (E) 14 days
Answer: D
A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained? Answer Choice: (A) 10 (B) 100 (C) 1000 (D) 10000 (E) 102
Answer: C
Four 6 faced dice are thrown together. The probability that all the four show the same number on them is ? Answer Choice: (A) 1/248 (B) 1/216 (C) 1/144 (D) 1/200 (E) 1/242
Answer: B
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit Answer Choice: (A) 70 (B) 77 (C) 289 (D) 27 (E) 10
Answer: A
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days? Answer Choice: (A) 8 days (B) 12 days (C) 15 days (D) 16 days (E) 3.75 days
Answer: E
The area of square ABCD above is 20. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region? Answer Choice: (A) 18−9/4∗π (B) 18−10/2∗π (C) 9+9/4∗π (D) 9+9/2∗π (E) 9/2−9/4∗π
Answer: B
In the equation p = 36.12q, q and p are integers. If p/q leaves a remainder of r, which of the following must divide into r? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 12
Answer: B
Working alone, A can complete a certain kind of job in 6 hours. A and D, working together at their respective rates, can complete one of these jobs in 4 hours. In how many hours can D, working alone, complete one of these jobs? Answer Choice: (A)  8 (B)  10 (C)  12 (D)  14 (E)  16
Answer: C
Some part of a 50% solution of acid was replaced with an equal amount of 30% solution of acid. If, as a result, 40% solution of acid was obtained, what part of the original solution was replaced? Answer Choice: (A) 1/5 (B) 1/4 (C) 1/2 (D) 3/4 (E) 4/5
Answer: C
If y ¤ z = y^(2z) for all positive integers, then (3 ¤ 4) ¤ 2 = Answer Choice: (A) 3^8 (B) 3^12 (C) 3^16 (D) 3^24 (E) 3^32
Answer: E
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 4 as its largest number? Answer Choice: (A) 1/2 (B) 1/4 (C) 1/8 (D) 1/16 (E) 5/32
Answer: B
A fruit seller had some apples. He sells 80% and still has 500 apples. Originally, he had ? Answer Choice: (A) 1588 apples (B) 2500apples (C) 500 apples (D) 2000 apples (E) None
Answer: B
In what proportion must rice at Rs 3.10 per kg be mixed with rice at Rs 3.60 per kg, so that the mixture be worth Rs 3.25 a kg? Answer Choice: (A) 3/5 (B) 3/2 (C) 5/3 (D) 5/7 (E) 7/3
Answer: E
Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 10 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)? Answer Choice: (A) 48 km/hr (B) 56 km/hr (C) 64 km/hr (D) 72 km/hr (E) 80 km/hr
Answer: A
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 20min will be. Answer Choice: (A) 60 km/h (B) 55 km/h (C) 40 km/h (D) 120 km/h (E) 65 km/h
Answer: D
The present ratio between the ages of Paul and Ben is 5:2. In 4 years time Paul will be 28. What is the present age of Ben? Answer Choice: (A) 13 (B) 12 (C) 11 (D) 15 (E) 10
Answer: B
Jennie’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month? Answer Choice: (A) 1/7 (B) 1/5 (C) 1/4 (D) 1/3 (E) 1/2
Answer: B
Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank? Answer Choice: (A) IX (B) XXIII (C) XVII (D) XV (E) X
Answer: C
A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform? Answer Choice: (A) Rs.80 (B) Rs.85 (C) Rs.90 (D) Rs.100 (E) Rs.120
Answer: D
Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 7's are there?
5 7 2 6 5 7 3 8 7 3 2 5 7 2 7 3 4 8 2 6 7 8 Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: A
Each factor of 230 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42? Answer Choice: (A) 1/16 (B) 5/42 (C) 1/8 (D) 3/16 (E) 1/4
Answer: D
What is the average (arithmetic mean) of all the multiples of ten from 10 to 150 inclusive? Answer Choice: (A) 80 (B) 95 (C) 100 (D) 105 (E) 110
Answer: A
Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 11 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately. Answer Choice: (A) 80 days (B) 100 days (C) 120 days (D) 110 days (E) 200 days
Answer: E
If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =? Answer Choice: (A) −48 (B) −2 (C) 6 (D) 48 (E) 46
Answer: E
A rectangular field is to be fenced on three sides leaving a side of 34 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required? Answer Choice: (A) 74ft (B) 88ft (C) 22ft (D) 11ft (E) 66ft
Answer: A
In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = 5? Answer Choice: (A) -1 (B) 7 (C) 10 (D) 14 (E) 20
Answer: B
A grocery shop has a sale of Rs. 6235, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Answer Choice: (A) 4857 (B) 4184 (C) 4012 (D) 5191 (E) 5291
Answer: D
The ratio of numbers is 3:4 and their H.C.F is 3. Their L.C.M is: Answer Choice: (A) 12 (B) 16 (C) 36 (D) 48 (E) 98
Answer: C
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Answer Choice: (A) 6.25 (B) 7 (C) 7.25 (D) 7.5 (E) 8
Answer: A
In the next Cricket World Cup T-20, Team T has decided to score 200 runs only through 4s and 6s. In how many ways can the Team T score these 200 runs? Answer Choice: (A) 13 (B) 15 (C) 16 (D) 17 (E) 18
Answer: D
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004? Answer Choice: (A) Saturday (B) Tuesday (C) Friday (D) Sunday (E) monday
Answer: D
The average of four consecutive odd numbers is 24. Find the largest number Answer Choice: (A) 25 (B) 27 (C) 29 (D) 31 (E) 32
Answer: B
What is difference between biggest and smallest fraction among 1/3, 3/4, 4/5 and 5/6 Answer Choice: (A) 2/5 (B) 1/2 (C) 1/6 (D) 1/7 (E) None of these
Answer: B
X does a work in 15 days. Y does the same work in 45 days. In how many days they together will do the same work? Answer Choice: (A) 10 (B) 12 (C) 20 (D) 11.25 (E) 15
Answer: D
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 5 ½ hours if they are walking in the same direction? Answer Choice: (A) 7 km (B) 6 km (C) 6 7/8 km (D) 9 km (E) 5 km
Answer: C
Population is 22000. Population increases by 10% every year, then the population after 3 years is? Answer Choice: (A) 26630 (B) 29282 (C) 36620 (D) 26620 (E) 26820
Answer: B
The average age of three boys is 30 years and their ages are in the proportion 3 : 6 : 12. The age of the youngest boy is: Answer Choice: (A) 21 years (B) 18 years (C) 15 years (D) 8.5 years (E) None of these
Answer: D
A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 4:5:2, respectively, by weight. If 44 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes? Answer Choice: (A) 15 (B) 12 (C) 8 (D) 6 (E) 4
Answer: C
If 13x + < 2z and z + 3 = 5y2 then Answer Choice: (A) x is necessarily less than y (B) x is necessarily greater than y (C) x is necessarily equal to y (D) None of the above is necessarily true (E) Cannot be determined
Answer: D
An electric motor makes 3,600 revolutions per minutes. How many degrees does it rotate in one second? Answer Choice: (A) 18.000 d/sec (B) 28.000 d/sec (C) 38.000 d/sec (D) 21.600 d/sec (E) 35.000 d/sec
Answer: D
When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 6, the quotient is 3y and the remainder is 1. What is the value of 7y – x ? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
Because of the economic slowdown, a multinational company curtailed some of the allowances of its employees. John, the marketing manager of the company whose monthly salary has been reduced to Rs.42,000 is unable to cut more on his expenditure. He finds that there is a deficit of Rs.2,000 between his earning and expenses in the first month. This deficit, because of inflationary pressure, will keep on increasing by Rs.500 every month. John has a saving of Rs 60,000 which will be used to fill the deficit. After his savings get exhausted, John would start borrowing from his friends. How soon will he start borrowing? Answer Choice: (A) 1st months (B) 10th months (C) 11th months (D) 12th months (E) 13th months
Answer: E
A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow? Answer Choice: (A) 2/91 (B) 1/81 (C) 1/8 (D) 2/81 (E) 3/81
Answer: A
In a certain store, the profit is 350% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? Answer Choice: (A) 72.2% (B) 70% (C) 100% (D) 250% (E) 120%
Answer: A
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his woman, as the song says? Answer Choice: (A) 12 (B) 24 (C) 48 (D) 60 (E) 120
Answer: C
A cistern 7m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is: Answer Choice: (A) 49 m2 (B) 50 m2 (C) 53.5 m2 (D) 55.5 m2 (E) 57 m2
Answer: D
A man has Rs. 384 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) 70 (C) 72 (D) 80 (E) 60
Answer: C
What is the divisor? The dividend is 76, the remainder is 8, the quotient is 4 Answer Choice: (A) 32 (B) 48 (C) 67 (D) 17 (E) 26
Answer: D
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train? Answer Choice: (A) 200 (B) 230 (C) 240 (D) 270 (E) 260
Answer: D
Find the simple interest on Rs.500 for 9 months at 6 paisa per month? Answer Choice: (A) 299 (B) 270 (C) 277 (D) 266 (E) 212
Answer: B
Mary charges $8.50 per hour to clean a house. If she works 29 hours, how much
does she earn in one week? Answer Choice: (A) $612.50 (B) $112.50 (C) $246.50 (D) $446.50 (E) $312.50
Answer: C
Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary? Answer Choice: (A) 3% (B) 8% (C) 1% (D) 4% (E) 9%
Answer: C
A baseball coach is choosing 9 players out of 14 to start the game today. He considers 8 of his players to be better hitters than fielders and 6 of his players to be better fielders or pitchers than hitters. If he wants to choose 6 hitters and 3 defensive players (those better at fielding or pitching), how many starting lineups are possible? Answer Choice: (A) 480 (B) 500 (C) 520 (D) 540 (E) 560
Answer: E
A rectangular-shaped carpet that measures x feet by y feet is priced at $36. What is the cost of the carpet, in dollars per square yard? (1 square yard = 7 square feet) Answer Choice: (A) xy/297 (B) 252/(xy) (C) 3xy/11 (D) 297/(xy) (E) 297xy
Answer: B
Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01) Answer Choice: (A) 0.845 (B) 0.849 (C) 0.842 (D) 0.828 (E) 0.8419
Answer: A
What is the sum of the integers from -160 to 162, inclusive? Answer Choice: (A) 325 (B) 327 (C) 323 (D) 330 (E) 350
Answer: C
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 61 kg. What is the correct weight? Answer Choice: (A) 58kgs (B) 58.65kgs (C) 58.95kgs (D) 59kgs (E) 59.85kgs
Answer: B
In one alloy there is 15% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy. Answer Choice: (A) 8.8% (B) 9% (C) 10.1% (D) 8.6% (E) 8.4%
Answer: C
If the price has fallen by 12% what percent of its consumption be: increased so that the expenditure may be the same as before? Answer Choice: (A) A)3/22% (B) B)10% (C) 1/9 % (D) 1/11 % (E) %
Answer: A
How many integers k greater than 100 and less than 1000 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90
Answer: D
If two dice are thrown together, the probability of getting a square number on both the dice is Answer Choice: (A) 5/12 (B) 1/3 (C) 1/4 (D) 1/12 (E) 2/3
Answer: D
Suresh borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 13 years is Rs.8160, how much money did he borrow? Answer Choice: (A) s.8500 (B) s.6375 (C) s.8000 (D) s.9000 (E) s.7000
Answer: B
100 identical coins each with probability 'pp' showing up heads & tossed. If 0 Answer Choice: (A) 23/113 (B) 25/114 (C) 51/101 (D) 56/117 (E) 57/157
Answer: C
What is the largest 4 digit number exactly divisible by 88? Answer Choice: (A) 9944 (B) 9999 (C) 9988 (D) 9900 (E) 9987
Answer: A
In how many ways can the letters of the word AFRAID be rearranged such that the vowels always appear together? Answer Choice: (A) 6!/2! (B) 3!*3! (C) 4!/2! (D) (4! *3!)/2! (E) 3!*3!/2
Answer: D
Of the three-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two? Answer Choice: (A) 24 (B) 36 (C) 72 (D) 1 (E) 216
Answer: E
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 35∘, the temperature of Friday was : Answer Choice: (A) 43∘ (B) 40∘ (C) 38∘ (D) 30∘ (E) None of these
Answer: A
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ? Answer Choice: (A) 5 (B) 6 (C) 13 (D) 18 (E) 24
Answer: C
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? Answer Choice: (A) 50 (B) 88 (C) 77 (D) 66 (E) 44
Answer: A
What is the smallest possible common multiple of three integers, all larger than 21? Answer Choice: (A) 27. (B) 54. (C) 846. (D) 22 (E) 21,924.
Answer: D
.
On dividing a number by 357, we get 41 as remainder. On dividing the same number 17, what will be the remainder ? Answer Choice: (A) 0 (B) 7 (C) 5 (D) 8 (E) 11
Answer: B
A and B entered into a partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. At the end of 10 months, the gain was Rs.760. What is A's share in the profit? Answer Choice: (A) 310 (B) 320 (C) 330 (D) 340 (E) 350
Answer: C
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km. Answer Choice: (A) 16 (B) 18 (C) 24 (D) 19 (E) 12
Answer: C
If the product of the integers from 1 to n is divisible by 686, what is the least possible value of n? Answer Choice: (A) 7 (B) 14 (C) 21 (D) 28 (E) 35
Answer: C
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed: Answer Choice: (A) 10 (B) 15 (C) 26 (D) 87 (E) 30
Answer: E
Due to construction, the speed limit along an 5-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? Answer Choice: (A)  3.12 (B)  8 (C)  10 (D)  15 (E)  24
Answer: A
.002/?= .01 Answer Choice: (A) .2 (B) .09 (C) .009 (D) .0009 (E) None of them
Answer: A
If two integers between –5 and 3, inclusive, are chosen at random, which of the following is most likely to be true? Answer Choice: (A) The sum of the two integers is even (B) The sum of the two integers is odd (C) The product of the two integers is even (D) The product of the two integers is odd. (E) The product of the two integers is negative
Answer: C
6x − 12 = 6y
6y + 6x = 18
Which of the following is the number of solutions to the system of equations shown above? Answer Choice: (A) More than three (B) Exactly three (C) Exactly two (D) Exactly one (E) None
Answer: C
The price of 3 pants and 6 t-shirts is Rs. 1500. With the same money one can buy 1 pant and 12 t-shirts. If one wants to buy 8 t-shirts, how much shall she have to pay ? Answer Choice: (A) 700 (B) 300 (C) 250 (D) 550 (E) 800
Answer: E
There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17 B. 29 C. 23 D. 31 Answer Choice: (A) 17 (B) 29 (C) 23 (D) 31 (E) 33
Answer: B
Four pipes fill a cistern in 15,20,30 and 60 hours.The first was opened at 6 am,the second at 8 am,third at 10 am and fourth at noon.When will the reservoir be full? Answer Choice: (A) 1PM (B) 2PM (C) 3PM (D) 4PM (E) 5PM
Answer: B
John and David were each given X dollars in advance for each day they were expected to perform at a community festival. John eventually performed on all 40 days of the festival, while David performed on 5 fewer days than John performed. If David gives John y dollars of her advance payment so that they would have each received the same daily rate, what was John paid in advance, in terms of Y? Answer Choice: (A) 10Y (B) 12Y (C) 15Y (D) 18Y (E) 24Y
Answer: C
A man can row 11 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man? Answer Choice: (A) 6.24 km (B) 6 km (C) 5.76 km (D) 5.66 km (E) 10.87 km
Answer: E
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely? Answer Choice: (A) 22 (B) 88 (C) 12 (D) 87 (E) 29
Answer: C
The salaries of A,B and C are in the ratio 2:3:5. If the increments of 15%,10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries? Answer Choice: (A) 11:23:55 (B) 23:33:60 (C) 15:45:66 (D) 23:59:77 (E) 15:63:71
Answer: B
A 6% stock yields 8%.The market value of the stock is : Answer Choice: (A) Rs. 48 (B) Rs. 75 (C) Rs. 96 (D) Rs. 133.33 (E) None
Answer: B
If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM ? Answer Choice: (A) 32 (B) 76 (C) 29 (D) 27 (E) 11
Answer: A
If 10^(c-1)< 0.000125 <10^c, what is the value of an integer c? Answer Choice: (A) -4 (B) -3 (C) -2 (D) 3 (E) 4
Answer: B
The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is Answer Choice: (A) 88 (B) 28 (C) 55 (D) 25 (E) 71
Answer: C
If there is exactly one root of the equation 2x^2 + ax + b, where a and b are positive constants, what is b in terms of a? Answer Choice: (A) a/2 (B) a (C) 3a/2 (D) a^2/8 (E) a^2/4
Answer: D
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 40% Vermouth by volume. How many ounces of Gin must he add? Answer Choice: (A) 0 (B) n/3 (C) 3n/5 (D) 5n/6 (E) 8n/5
Answer: A
If n = 30! + 25, then n is divisible by which of the following?
I. 25
II. 27
III. 29 Answer Choice: (A) None (B) I only (C) II only (D) I and II (E) II and III
Answer: B
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price? Answer Choice: (A) 288 (B) 375 (C) 267 (D) 298 (E) 121
Answer: B
Insert the missing number
2, 4, 8, 16, ..., 64, 128, 256 Answer Choice: (A) 36 (B) 35 (C) 32 (D) 33 (E) 38
Answer: C
Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer E between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it? Answer Choice: (A) 12 (B) 15 (C) 17 (D) E=18 (E) 20
Answer: D
The price of 2 skirts and 4 shirts is Rs. 1600. With the same money one can buy 1 skirt and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? Answer Choice: (A) Rs. 2300 (B) Rs. 2400 (C) Rs. 2420 (D) Rs. 2460 (E) Rs. 2480
Answer: B