loafeihong/math_mmlu_format huggingface dataset:
A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose? Answer Choice: (A) 485 (B) 431 (C) 391 (D) 381 (E) 481
Answer: C
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 40 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped? Answer Choice: (A) 205 (B) 220 (C) 240 (D) 247 (E) 294
Answer: E
The guidelines at a certain college specify that for the introductory English class, the professor may choose one of six specified novels, and choose two plays from a list of 5 specified plays. Thus, the reading list for this introductory class has one novel and two plays. How many different reading lists could a professor create within these parameters? Answer Choice: (A) 50 (B) 55 (C) 60 (D) 65 (E) 70
Answer: C
One hour before John started walking from P to Q, a distance of 33 miles, Ann had started walking along the same road from Q to P. Ann walked at a constant speed of 3 miles per hour and John at 2 miles per hour. How many miles had Ann walked when they met? Answer Choice: (A) 6 miles (B) 8,4 miles (C) 9 miles (D) 9,6 miles (E) 21 miles
Answer: E
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x Answer Choice: (A) 2643 (B) 5464 (C) 3456 (D) 7554 (E) 3158
Answer: E
A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 55 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke? Answer Choice: (A) A.72 (B) B.115 (C) C.48 (D) D.46 (E) E.44
Answer: B
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 894 in 4 years. The sum is: Answer Choice: (A) s. 650 (B) s. 690 (C) s. 698 (D) s. 700 (E) s. 578
Answer: E
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle? Answer Choice: (A) 7m (B) 8m (C) 3m (D) 2m (E) 4m
Answer: D
A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 23 inches, how many inches of framing material does the carpenter need to frame the painting? Answer Choice: (A) 12 (B) 22 1/2 (C) 37 1/2 (D) 50 (E) 29
Answer: E
The perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm. What is the area of the triangle? Answer Choice: (A) 22 (B) 35 (C) 77 (D) 54 (E) 38
Answer: E
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 70% total profit if he has already sold one of the four cars at Rs. 1.2 lakh? Answer Choice: (A) 1.8 lakh (B) 1.3 lakh (C) 1.9 lakh (D) 8.1 lakh (E) 6.1 lakh
Answer: B
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 12% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research? Answer Choice: (A) 43° (B) 10° (C) 18° (D) 36° (E) 52°
Answer: A
Calculate the percentage gain if a trader bought a bicycle for Rs.640 and sold it for Rs.720? Answer Choice: (A) 14.5% (B) 11.5% (C) 15.5% (D) 12.5% (E) 18.5%
Answer: D
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg. Answer Choice: (A) 1:2 (B) 2:3 (C) 3:4 (D) 3:5 (E) 4:5
Answer: B
A tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 8 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches) Answer Choice: (A) 1440 (B) 2340 (C) 3240 (D) 4320 (E) 5420
Answer: D
A square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8cm and breadth 4cm. What is the perimeter of the newly formed rectangle? Answer Choice: (A) 10 (B) 20 (C) 40 (D) 60 (E) 80
Answer: C
If X = 2 + 1/(1+1/(1-1/2))then the value of 2x+7/3? Answer Choice: (A) 9 2/3 (B) 10 1/3 (C) 7 (D) 11 2/3 (E) 12
Answer: C
Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 80 percent was planted with barley and 10 percent of the cleared land was planted with potato. If the remaining 90 acres of cleared land was planted with tomato, how many acres did the farmer own? Answer Choice: (A) 850 (B) 950 (C) 1025 (D) 975 (E) 1000
Answer: E
In a 5 digit ID number, what is the probability of exactly three digits are the digit 0? Answer Choice: (A) 12/2507 (B) 9/2500 (C) 11/9800 (D) 13/2500 (E) 14/2751
Answer: B
There are 9 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed. Answer Choice: (A) 62 (B) 70 (C) 72 (D) 71 (E) 76
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 524 different signs. If the company used 522 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 524 signs? Answer Choice: (A) 46 (B) 248 (C) 2092 (D) 15,128 (E) 30,256
Answer: C
The mean of 50 observations was 40. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is Answer Choice: (A) 40.46 (B) 36.1 (C) 36.5 (D) 39.1 (E) None
Answer: A
A baker filled with a measuring cup with 1/3 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with? Answer Choice: (A) 1/8 cup (B) 3/8 cup (C) 11/24 cup (D) 1/2 cup (E) 7/8 cup
Answer: C
Excluding stoppages, the speed of a train is 30 kmph and including stoppages it is 21 kmph. Of how many minutes does the train stop per hour? Answer Choice: (A) 16 (B) 17 (C) 12 (D) 15 (E) 18
Answer: E
A certain taxi company charges $2.80 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long? Answer Choice: (A) 15.6 (B) 16.0 (C) 18.4 (D) 18.7 (E) 19.1
Answer: C
What is the least possible value that can be subtracted from 2^586 so that the result is a multiple of 7? Answer Choice: (A) 2 (B) 3 (C) 5 (D) 7 (E) 11
Answer: A
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 30, what will be his grade at the end of the third year? Answer Choice: (A) 44 (B) 56 (C) 64 (D) 75 (E) 80
Answer: C
A student is to take her final exams in two subjects. The probability that she will pass the first subject is 3/4 and the probability that she will pass the second subject is 2/3. What is the probability that she will pass one exam or the other exam? Answer Choice: (A) 5/12 (B) 1/2 (C) 7/12 (D) 5/7 (E) 11/12
Answer: A
In 1995, the Johny spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johny cut back their water usage. By how much must the Johny have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995? Answer Choice: (A) a)	33 1/3 % (B) b)	40 % (C) c) 50 % (D) d)	66 2/3 % (E) e)	100 %
Answer: A
How many pages the book have, if total 309 digits are used to form the page numbers? Answer Choice: (A) 135 pages (B) 136 pages (C) 137 pages (D) 138 pages (E) 139 pages
Answer: E
Pipes A can fill a tank in 5 hours and Pipe B can fill it in 6 hours . If the two pipes are opened together, then the tank will be filled in: Answer Choice: (A) 3 4/11 hours. (B) 2 8/11 hours. (C) 2 3/11 hours. (D) 5 2/11 hours. (E) 4 3/11 hours.
Answer: B
If M is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT Answer Choice: (A) z - w = 3(y - x) (B) M is divisible by 8 (C) The average of w, x, y, and z is odd (D) M is divisible by 4 (E) w + x + 8 = y + z
Answer: B
The population of a town increased from 1,24,300 to 1,62,400 in a decade. The average percent increase of population per year is: Answer Choice: (A) 4.37% (B) 4% (C) 2.3% (D) 3.75% (E) None
Answer: C
if log 4 = 0.60205, the number of digits in 4128 is Answer Choice: (A) 22 (B) 39 (C) 78 (D) 28 (E) 11
Answer: C
What is the place value of 3 in the numeral 3259 Answer Choice: (A) 2800 (B) 2900 (C) 2970 (D) 3000 (E) 3500
Answer: D
In a regular week, there are 5 working days and for each day, the working hours are 8. A
man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns
Rs. 432 in 4 weeks, then how many hours does he work for ? Answer Choice: (A) 160 (B) 175 (C) 180 (D) 195 (E) 200
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 8 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) 178 m (B) 168 m (C) 120 m (D) 160 m (E) 178 m
Answer: D
Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 45 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order? Answer Choice: (A)  3 (B)  5 (C)  6 (D)  16 (E)  9
Answer: E
Fill in the missing number:
18 ? 12 11 10.5 10.25 Answer Choice: (A) 10.1 (B) 10.4 (C) 10.2 (D) 14 (E) 10.3
Answer: D
Find the length ofa rectangle is decreased by 40cm & the width is increased by 5cm, a square with the same area asthe original rectangle result. Find the perimeter ofthe original rectangle? Answer Choice: (A) 30 cm (B) 40 cm (C) 50 cm (D) 60 cm (E) 70 cm
Answer: C
A man can row a boat at 26 kmph in still water. If the speed of the stream is 12 kmph, what is the time taken to row a distance of 66 km downstream? Answer Choice: (A) 30/16 hours (B) 33/19 hours (C) 34/15 hours (D) 36/13 hours (E) 30/13 hours
Answer: B
The ratio of the volumes of two cubes is 1728 : 1331. What is the ratio of their total surface areas? Answer Choice: (A) 144 : 121 (B) 141 : 127 (C) 144 : 191 (D) 181 : 161 (E) 81 : 182
Answer: A
How many 4-digit numerals begin with a digit that represents a prime and end with a digit that represents a prime number? Answer Choice: (A) 1600 (B) 80 (C) 160 (D) 180 (E) 240
Answer: A
The arithmetic mean of the 13 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 6? Answer Choice: (A) 2 + s + a (B) 22 + a (C) 2s (D) 2a + 2 (E) a
Answer: E
When the positive integer g is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer h is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of g-h? Answer Choice: (A)  12 (B)  24 (C)  35 (D)  16 (E)  30
Answer: C
A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in four hours. What is the boat's speed in calm water? How far did the boat travel one way? Answer Choice: (A) .14 (B) 2.14 (C) 3.14 (D) 5.14 (E) 7.14
Answer: D
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is? Answer Choice: (A) 12% (B) 13% (C) 15% (D) 14% (E) 18%
Answer: C
In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is: Answer Choice: (A) 10 (B) 11 (C) 12 (D) 15 (E) 14
Answer: B
On a purchase of $130, a store offered a payment plan consisting of a $30 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan? Answer Choice: (A) 23.5% (B) 24.5% (C) 23.1% (D) 25.5% (E) 26.5%
Answer: C
A straight fence is to be constructed from posts 3 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot) Answer Choice: (A) 17 (B) 28 (C) 34 (D) 39 (E) 50
Answer: C
Which of the following cannot be the range of a set consisting of 5 odd multiples of 7? Answer Choice: (A) 56 (B) 112 (C) 224 (D) 448 (E) 425
Answer: E
Find the area of circle whose diameter is 8 m. Answer Choice: (A) 50.00 square meter (B) 50.04 square meter (C) 50.28 square meter (D) 50.24 square meter (E) 50.43 square meter
Answer: C
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 10 pumps work to empty the tank in 1 day? Answer Choice: (A) 4.8 (B) 3.6 (C) 1.1 (D) 1.2 (E) 1.3
Answer: A
In how many ways can the letters of the word RECPECT be arranged? Answer Choice: (A) 1234 (B) 1643 (C) 2520 (D) 2856 (E) 3977
Answer: C
The sale price sarees listed for Rs.345 after successive discount is 12% and 25% is? Answer Choice: (A) 321 (B) 276 (C) 342 (D) 228 (E) 245
Answer: D
If taxi fares were $1.00 for the first 1/5 mile and $0.50 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was Answer Choice: (A) $1.56 (B) $2.40 (C) $3.80 (D) $4.20 (E) $8.00
Answer: E
P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work? Answer Choice: (A) 8 (B) 5 (C) 4 (D) 6 (E) 3
Answer: D
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is ? Answer Choice: (A) 25% (B) 26% (C) 27% (D) 28% (E) 29%
Answer: D
A computer wholesaler sells nine different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display? Answer Choice: (A) 15/56 (B) 3/28 (C) 1/12 (D) 1/56 (E) 1/168
Answer: C
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time, how many books of the special collection were loaned out during that month? Answer Choice: (A) 20 (B) 30 (C) 35 (D) 40 (E) 55
Answer: D
If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ? Answer Choice: (A) 600 (B) 1200 (C) 1800 (D) none of these (E) 1900
Answer: C
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years? Answer Choice: (A) 6% (B) 6.5% (C) 7% (D) 7.5% (E) 8%
Answer: A
Calculate the circumference of a circular field whose radius is 6 centimeters. Answer Choice: (A) 2 π cm (B) 1 π cm (C) 15 π cm (D) 12 π cm (E) 19 π cm
Answer: D
A certain list of 240 test scores has an average (arithmetic mean) of 85 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 242 test scores with a standard deviation less than d ? Answer Choice: (A)  80 and 80 (B)  80 and 85 (C)  80 and 90 (D)  85 and 86 (E)  85 and 90
Answer: D
x, 17, 3x - y2 - 2 and 3x + y2 - 30 are four consecutive terms of an increasing arithmetic sequence. The sum of the four numbers is divisible by: Answer Choice: (A) 2 (B) 3 (C) 5 (D) 7 (E) 11
Answer: A
If d and y are integers, then dy(d + y) is Answer Choice: (A) Always positive (B) Always negative (C) Positive when d is positive (D) Negative when d is negative (E) It cannot be determined by the information given
Answer: E
The market value of a certain machine decreased by 20 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later? Answer Choice: (A)  $8,000 (B)  $5,600 (C)  $3,200 (D)  $2,400 (E)  $4,800
Answer: E
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State? Answer Choice: (A) 7000 (B) 8000 (C) 6000 (D) 5000 (E) 4000
Answer: B
The ratio of three numbers is 1:2:3 and the sum of their squares is 2016. The sum of the numbers is? Answer Choice: (A) A)10 (B) B)12 (C) C)15 (D) D)14 (E) E)9
Answer: B
A and B start a business jointly. A invests Rs.16000 for 5 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? Answer Choice: (A) A)Rs.8000 (B) B)Rs.8200 (C) C)Rs.12293 (D) D)Rs.12804 (E) E)Rs.12830
Answer: A
A box contains ten bulbs out of which 6 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective? Answer Choice: (A) 1/127 (B) 1/210 (C) 1/128 (D) 1/198 (E) 1/126
Answer: B
If paint costs $3.10 per quart, and a quart covers 20 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge? Answer Choice: (A) $ 1.60 (B) $ 16.00 (C) $ 93.00 (D) $108.00 (E) $196.00
Answer: C
The sum of the ages of 4 children born at the intervals of 4 years each is 36 years. what is the age of the youngest child ? Answer Choice: (A) 3 (B) 18 (C) 10 (D) 99 (E) 38
Answer: A
Find the compound interest on $1200 for 2 years at 20% p.a. if CI is component yearly? Answer Choice: (A) $120 (B) $150 (C) $548 (D) $250 (E) $300
Answer: C
What is the missing number of the following sequence.
3 48,?,24,30,12,90 Answer Choice: (A) 56 (B) 10 (C) 33 (D) 61 (E) 16
Answer: B
Last year Carlos saved 10 percent of his annual earnings. This year he earned 5 percent more than last year and he saved 12 percent of his annual earnings. The amount saved this year was what percent of the amount saved last year? Answer Choice: (A) 122% (B) 124% (C) 126% (D) 128% (E) 130%
Answer: C
The smallest number which when diminished by 15, is divisible 10, 15, 25, 30 and 35 is: Answer Choice: (A) 1008 (B) 1055 (C) 1022 (D) 1032 (E) 1048
Answer: B
Synthia can buy watches at a price of Z dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of X by selling Y watches, then in terms of Z and X and Y, what is the percent of the markup from her buy price to her sell price? Answer Choice: (A) (YZ)/100X (B) 100X-(YZ) (C) 100X+(YZ) (D) 100X*(YZ) (E) 100X/(YZ)
Answer: E
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube? Answer Choice: (A) 33 m3 (B) 77 m3 (C) 60 m3 (D) 27 m3 (E) 29 m3
Answer: C
The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle? Answer Choice: (A) 22 cm (B) 40 cm (C) 28 cm (D) 10 cm (E) 11 cm
Answer: B
If x/5 - 6/x = 1/5, what are the values of 3x - 7? Answer Choice: (A) -22 and 11 (B) 8 and 24 (C) 17 and 21 (D) 12 and 29 (E) 17 and 29
Answer: A
A man sells a car to his friend at 14% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was : Answer Choice: (A) Rs.22325.58 (B) Rs.32325.58 (C) Rs.52325.58 (D) Rs.62325.58 (E) None of these
Answer: C
The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 4 years is Answer Choice: (A) s.9621 (B) s.6921 (C) s.9724 (D) s.6261 (E) s.6361
Answer: C
What is the least value of x. So that 22x57 is divisible by 3. Answer Choice: (A) 2 (B) 0 (C) 1 (D) 3 (E) 4
Answer: A
A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train. Answer Choice: (A) 15 kmph (B) 36 kmph (C) 21 kmph (D) 17 kmph (E) 19 kmph
Answer: B
How many positive integers n have the property that when 1,000,063 is divided by n, the
remainder is 63? Answer Choice: (A) 29 (B) 37 (C) 39 (D) 49 (E) 79
Answer: B
A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in? Answer Choice: (A) 11 days (B) 77 days (C) 30 days (D) 88 days (E) 17 days
Answer: C
What is the probability that when a hand o f 6 cards is drawn from a well shuffled deck of 52 cards, It contains 2 Queen? Answer Choice: (A) 1/23445 (B) 113/22434 (C) 29187by1017926 (D) 1017926/29187 (E) None of these
Answer: C
What is the probability P of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R? Answer Choice: (A) 1/13 (B) 1/20 (C) 1/26 (D) 1/50 (E) 1/100
Answer: C
Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.18750 then A's share is (in Rs.) Answer Choice: (A) 10000 (B) 6500 (C) 5000 (D) 7500 (E) 8500
Answer: C
This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 7 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 7 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print? Answer Choice: (A)  9C7 (B)  9P3 (C)  9C9 (D)  9C6 (E)  69
Answer: A
If a Ã— b = 2a - 3b + ab, then 1 Ã— 2 + 2 Ã— 1 is equal to : Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
Ratio of present age of P and Q is 7 : 3. After four years their ages are in the ratio of 2 : 1. What is the present age of P ? Answer Choice: (A) 24 years (B) 28 years (C) 32 years (D) Data inadequate (E) None of these
Answer: B
If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 4n years to that after 2n years? Answer Choice: (A) (1+k)^n (B) (1+k/100)^2n (C) (1+kn/100) (D) (1+n/100)^k (E) (1+kn)
Answer: B
Which of the following inequalities is represented by the following number line?
–7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 Answer Choice: (A) –5 < x < 5 (B) –5 ≤ x < 5 (C) –5 < x ≤ 5 (D) |x| < 5 (E) 5 ≤ |x|
Answer: B
The largest number in a series of consecutive even integers is w. If the number of integers is n, what is the smallest number in terms of w and n? Answer Choice: (A) w– 2n (B) w–n + 1 (C) w– 2(n– 1) (D) n– 6 + w (E) w – n/2
Answer: C
8 books are to be arranged in a shelf. Among these, 3 are copies of the same Math book, 3 are copies of the same Physics book and the remaining are copies of the same Chemistry book. How many different arrangements can be created? Answer Choice: (A) 8!/{3!^3} (B) 8!/{3!3!2!2!} (C) 8!/{3!^2} (D) 8!/{(2!)(3!^2)} (E) 8!/{2!^3}
Answer: D