loafeihong/math_mmlu_format huggingface dataset:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers? Answer Choice: (A) 160 (B) 220 (C) 240 (D) 360 (E) 420
Answer: C
The product of the squares of two positive integers is 9. How many pairs of positive integers satisfy this condition? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
If xy ≠ 0 and x^2y^2 − 3xy = 28, which of the following could be y in terms of x?
I. 1/(2x)
II. -4/x
III. 7/x Answer Choice: (A) I only (B) II only (C) I and II (D) I and III (E) II and III only
Answer: E
4, 7, 13, 25, 49, (...) Answer Choice: (A) 22 (B) 35 (C) 97 (D) 32 (E) 25
Answer: C
What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm? Answer Choice: (A) 20 cm (B) 23 cm (C) 25cm (D) 10 cm (E) 28 cm
Answer: A
For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 3, -3, 2, 5, -4, -6 ? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
It is required to seat 3 boys and 2 girls in a row so that the girls occupy the even places. How many such arrangements are possible? Answer Choice: (A) 28 (B) 21 (C) 30 (D) 22 (E) 12
Answer: E
The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 20%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount? Answer Choice: (A) 66.67 (B) 35 (C) 48 (D) 65 (E) 67.5
Answer: A
walking at ¾ of his usual speed ,a man is late by 2 ½ hr. the usual time is Answer Choice: (A) 7 1/9 (B) 7 1/2 (C) 7 1/5 (D) 7 1/8 (E) 7 1/7
Answer: B
United Telephone charges a base rate of $6.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same? Answer Choice: (A) 20 minutes (B) 110 minutes (C) 120 minutes (D) 140 minutes (E) 160 minutes
Answer: C
Eight people are on an elevator that stops at exactly 8 floors. What is the probability that exactly one person will push the button for each floor? Answer Choice: (A) 8!/8^8 (B) 8^8/8! (C) 8/8! (D) 8/8^8 (E) 1/8^8
Answer: A
How long does a train 150 m long traveling at 36 kmph takes to cross a signal post? Answer Choice: (A) 8 sec (B) 15 sec (C) 20 sec (D) 10 sec (E) 22 sec
Answer: B
A boat running downstream covers a distance of 20 km in 2 hours while for covering the same distance upstream,it takes 5 hours.What is the speed of the boat in still water ? Answer Choice: (A) 4 km/hr (B) 6 km/hr (C) 7 km/hr (D) Data inadequate (E) None of these
Answer: C
The editor of an anthology of short stories will select authors from a pool of 11 authors, of which 4 are female. If the anthology is to include the work of 7 authors of which at least 2 are female, in how many ways can the editor select the authors? Answer Choice: (A) 301 (B) 312 (C) 323 (D) 334 (E) 345
Answer: A
Tough and Tricky questions: Arithmetic.
(14^2 + 14^2)/7^2 = Answer Choice: (A) 4 (B) 58 (C) 29 (D) 8 (E) 116
Answer: D
Find out Difference between SI and CI if p=1000000 r=4% ant t=3 yr? Answer Choice: (A) 4864 (B) 4854 (C) 4844 (D) 4868 (E) 4866
Answer: A
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle? Answer Choice: (A) 432 (B) 787 (C) 288 (D) 212 (E) 233
Answer: A
Find the curved surface area, if the radius of a cone is 21 m and slant height is 15 m? Answer Choice: (A) 660 (B) 770 (C) 880 (D) 900 (E) 990
Answer: E
A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length? Answer Choice: (A) 27 seconds (B) 33 seconds (C) 40 seconds (D) 11 seconds (E) 12 seconds
Answer: B
Find the value of (70+ 28/100) × 100 Answer Choice: (A) 7028 (B) 4028 (C) 3128 (D) 3256 (E) 5264
Answer: A
A circular well with a diameter of 2 meters, is dug to a depth of 14 meters. What is the volume of the earth dug out. Answer Choice: (A) 48m3 (B) 94m3 (C) 44m3 (D) 04m3 (E) 14m3
Answer: C
What is the smallest five digit number that is divisible by 15, 32, 45, and 54? Answer Choice: (A) 11260 (B) 11860 (C) 12360 (D) 12960 (E) 13560
Answer: D
Horse started to chase a dog as it relived stable two hours ago. And horse started to ran with average speed of 22kmph, horse crossed 10 meters road and two ponds with depth 3 meters and it crossed 2 small streets with 200 meters length. After travelling 6 hours, 2 hours after the sunset it got dog. Compute the speed of dog? Answer Choice: (A) 16.5 kmph (B) 16.6 kmph (C) 16.4 kmph (D) 16.9 kmph (E) 16.2 kmph
Answer: A
A & B can make paintings in 6 days, B & C can can make those paintings in 10 days. If A, B & C together can finish the work in 4 days, then A & C together will do it in ________ days. Answer Choice: (A) 4 (2/7) days (B) 1/ 8 days (C) 2 (2/5) days (D) 6 (3/ 8) days (E) 1/ 9 days
Answer: A
a = 4^15 - 625^3 and a/x is an integer, where x is a positive integer greater than 1, such that it does NOT have a factor p such that 1 < p < x, then how many different values for x are possible? Answer Choice: (A) None (B) One (C) Two (D) Three (E) Four
Answer: C
the average distance between the sun and a certain planet is approximatly 2.6 10^9 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches) Answer Choice: (A) 7 x (10)^5 (B) 7 x (10)^7 (C) 6.7 x (10)^4 (D) 7 x (10)^8 (E) 7 x (10)^12
Answer: C
If W is the set of all the integers between 59 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers? Answer Choice: (A) 27 (B) 32 (C) 33 (D) 34 (E) 35
Answer: A
Which of the following equations has a solution in common with x^2 + 5x + 4 = 0? Answer Choice: (A) 2x^2 + 5x +4 = 0 (B) x^2 - 3x - 4 = 0 (C) 2x^2 - 14 1/2x + 7/2 = 0 (D) x^2 + 4x - 21 = 0 (E) none of the above
Answer: B
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to? Answer Choice: (A) 5 (B) 3 (C) 4 (D) 7 (E) 9
Answer: B
A train running at the speed of 52 km/hr crosses a pole in 9 sec. What is the length of the train? Answer Choice: (A) 130 m (B) 786 m (C) 566 m (D) 546 m (E) 440 m
Answer: A
Approximately how many revolutions will be made by a car tire with a 14-inch diameter if the car travels 1 mile? Answer Choice: (A) 120 (B) 180 (C) 1,231 (D) 1,433 (E) 1,440
Answer: D
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m? Answer Choice: (A) 29798 (B) 27908 (C) 78902 (D) 25000 (E) 27991
Answer: D
In X game of billiards, X can give Y 20 points in 60 and he can give Z 50 points in 60. How many points can Y give Z in X game of 100? Answer Choice: (A) 30 (B) 20 (C) 25 (D) 40 (E) 75
Answer: E
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 5 : 6 : 7 : 8 : 9. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 1
Answer: D
20, 19, 17, ?, 10, 5 Answer Choice: (A) 15 (B) 14 (C) 13 (D) 12 (E) 11
Answer: B
.05% of seeds in a packet do not germinate. How many seeds must be in the packet for 6 seeds not to germinate? Answer Choice: (A) 10000 (B) 11000 (C) 12000 (D) 14000 (E) 6000
Answer: C
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank? Answer Choice: (A) 15 (B) 10 (C) 81 (D) 71 (E) 12
Answer: B
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 9 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today? Answer Choice: (A) $10,350 (B) $10,395 (C) $10,791 (D) $11,500 (E) $12,705
Answer: C
The average age of 25 students in a class is 12years. If teacher's age is also included then average increases 1year then find the teacher's age? Answer Choice: (A) 40 (B) 35 (C) 29 (D) 38 (E) 42
Answer: D
A house wife saved $4 in buying an item on sale. If she spent $29 for the item, approximately how much percent she saved in the transaction? Answer Choice: (A) 8% (B) 9% (C) 10% (D) 11% (E) 12%
Answer: E
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 13 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate? Answer Choice: (A)  4 (B)  6 (C)  7.2 (D)  7.8 (E)  9
Answer: A
In a certain production lot, 40 percent of the toys are red and the remaining toys are green. Half of toys are small and half are large. If 10 percent of the toys are red and small, and 40 toys are green and large. How many of the toys are red and large? Answer Choice: (A) 40 (B) 60 (C) 70 (D) 80 (E) 90
Answer: B
Find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm. Answer Choice: (A) 81 (B) 91 (C) 99 (D) 108 (E) 111
Answer: A
During a two-week period, the price of an ounce of silver increased by 8 percent by the end of the first week and then decreased by 12 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period? Answer Choice: (A) 0.93x (B) 0.95x (C) 0.97x (D) 0.99x (E) 1.01x
Answer: B
Soja finished 2/3 of a book. She calculated that she finished 100 more pages than she has yet to read. How long is her book? Answer Choice: (A) A)300 (B) B)150 (C) C)130 (D) D)90 (E) E)210
Answer: A
A clock is started at noon. By 10 minutes past 2, the hour hand has turned through how many degrees? Answer Choice: (A) 55Â° (B) 60Â° (C) 65Â° (D) 70Â° (E) 75Â°
Answer: C
If g is the smallest positive integer such that 3,150 multiplied by g is the square of an integer, then g must be Answer Choice: (A)  2 (B)  5 (C)  6 (D)  7 (E)  14
Answer: E
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is? Answer Choice: (A) 11 (B) 66 (C) 88 (D) 10 (E) 27
Answer: D
A shopkeeper sold 30 articles at the cost price of 35 articles. Then find the profit% or lost% Answer Choice: (A) 12% (B) 15% (C) 16.67% (D) 18% (E) 22%
Answer: C
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 30% solution? Answer Choice: (A) A)6.7 (B) B)1.3 (C) C)9.6 (D) D)12.5 (E) E)28.6
Answer: E
A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in? Answer Choice: (A) 8 days (B) 10 days (C) 15 days (D) 11 3/7 days (E) 16 days
Answer: D
If n = (33)^43 + (53)^33 what is the units digit of n? Answer Choice: (A) 0 (B) 2 (C) 4 (D) 6 (E) 8
Answer: C
The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 1 percent, what was the annual interest rate last year? Answer Choice: (A) 1% (B) 1.1% (C) 9.1% (D) 10% (E) 10.8%
Answer: C
The average employee age of a certain company which has 80 employees is 38. One employee aged 60 got retired and replaced by a fresher of age 22. What is the new average age of employees? Answer Choice: (A) 35.5 (B) 36.2 (C) 36.8 (D) 37.5 (E) 38.2
Answer: D
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? Answer Choice: (A) Rs:1000 (B) Rs:1067 (C) Rs:1278 (D) Rs:1028 (E) Rs:1027
Answer: A
A committee of 4 people is to be selected from 8 people. How many different committees are possible? Answer Choice: (A) 28 (B) 40 (C) 56 (D) 420 (E) 336
Answer: D
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%? Answer Choice: (A) 6 (B) 9 (C) 5 (D) 1 (E) 2
Answer: C
A, B, and C working alone can finish constructing a house in 6, 9, and 18 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish? Answer Choice: (A) 11:45 am (B) 11:55 am (C) 12:10 pm (D) 12:25 pm (E) 12:40 pm
Answer: E
If k^3 = m^3, which of the following must be true? Answer Choice: (A) k = m (B) k = -m (C) k = |m| (D) k = -|m| (E) |k| = |m|
Answer: E
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems? Answer Choice: (A) 676 (B) 833 (C) 1023 (D) 839 (E) 1035
Answer: C
7122,6521,8332,4743,9911,387?
find the value of the question tag. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
The average of 25 result is 18.The average of 1st 12 of them is 14 & that of last 12 is 17.Find the 13th result. Answer Choice: (A) 68 (B) 80 (C) 78 (D) 60 (E) 87
Answer: C
Evaluate: 13 + sqrt(- 4 + 5Ã—3Ã·3) =? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: C
If a tire rotates at 400 revolutions per minute when the car is traveling 120km/h, what is the circumference of the tire? Answer Choice: (A) 2 (B) 1 (C) 4 (D) 3 (E) 5
Answer: E
How many 5-digit positive integers exist the sum of whose digits are odd? Answer Choice: (A) 36000 (B) 38000 (C) 45000 (D) 90000 (E) None
Answer: C
In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is: Answer Choice: (A) 86 (B) 90 (C) 92 (D) 94 (E) 95
Answer: A
Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 3 hours and machine B produces k bottles in 5 hours. How many hours does it take machines A and B, working simultaneously, to produce 16k bottles? Answer Choice: (A) 24 (B) 26 (C) 28 (D) 30 (E) 32
Answer: D
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? Answer Choice: (A) 7/8 (B) 4/5 (C) 3/2 (D) 2/3 (E) 1/3
Answer: E
A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by g meteres, What is the area of the rug in square meters? Answer Choice: (A) mn - p(m+n) (B) mn – 2p(m+n) (C) mn – p^2 (D) (m - p)(n - p) (E) (m - 2p)(g - 2p)
Answer: E
The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall? Answer Choice: (A) 29.43 (B) 30.43 (C) 31.43 (D) 32.43 (E) 33.43
Answer: B
The closest approximation of A(69.28 × 0.004)/0.03 is Answer Choice: (A) 0.092 (B) 0.92 (C) 9.2 (D) 92 (E) 920
Answer: C
97 students take part in a test and the median score is 85. Which of the following descriptions must be correct?
I.At least 49 students’ score are less than 85.
II. At least 49 students’ score are equal to or more than 85
III. At most 49 students’ score are equal to or more than 85. Answer Choice: (A) I (B) II (C) III (D) III (E) IIII
Answer: B
A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 9 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour? Answer Choice: (A) 2:42 pm (B) 2:50 pm (C) 3:07 pm (D) 3:21 pm (E) 3:30 pm
Answer: D
Each factor of 200 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 40? Answer Choice: (A) 1/6 (B) 5/42 (C) 1/8 (D) 3/16 (E) 1/4
Answer: A
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours? Answer Choice: (A) 61.25 (B) 62.5 (C) 63.75 (D) 70.0 (E) 77.5
Answer: D
A certain country had a total annual expenditure of $1.2x10^12. If the population of the country was 240 million last year, what was the per capita expenditure? Answer Choice: (A) $500 (B) $1000 (C) $2000 (D) $3000 (E) 5000 dollar
Answer: E
5862 is to 714
and 3498 is to 1113
and 9516 is to 156
therefore 8257 is to ? Answer Choice: (A) 157 (B) 236 (C) 274 (D) 123 (E) 234
Answer: A
A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $7.00? Answer Choice: (A)  40 (B)  84 (C)  90 (D)  120 (E)  240
Answer: B
The original price of a certain TV set is discounted by f percent, and the reduced price is then discounted by 2f percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts? Answer Choice: (A) P(1 - 0.03x + 0.02x^2) (B) P(1 - 0.03f + 0.0002f^2) (C) P(1 - 0.03x + 0.002x^2) (D) P(1 - 2x^2) (E) P(1 - 3x + 2x^2)
Answer: B
A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 120 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) 32 (B) 20 (C) 36 (D) 88 (E) 34
Answer: A
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 10:40 a.m., how long will the conference last if there are a total of 6 seminars that day? Answer Choice: (A) hours and 15 minutes (B) hours and 20 minutes (C) hours and 25 minutes (D) hours and 30 minutes (E) hours and 35 minutes
Answer: D
If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+6) for all positive integers n, what is the third term of the sequence? Answer Choice: (A) 10 (B) 4 (C) 6 (D) 8 (E) 9
Answer: A
A certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions? Answer Choice: (A) 42 (B) 70 (C) 540 (D) 565 (E) 560
Answer: E
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train? Answer Choice: (A) 45 (B) 46 (C) 47 (D) 79.2 (E) 76
Answer: D
A train is 360 meter long is running at a speed of 48 km/hour. In what time will it pass a bridge of 140
meter length. Answer Choice: (A) 27.5 seconds (B) 37.5 seconds (C) 47.5 seconds (D) 57.5 seconds (E) None of these
Answer: B
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? Answer Choice: (A) 200 (B) 205 (C) 209 (D) 250 (E) 300
Answer: C
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ? Answer Choice: (A) 58300 (B) 60800 (C) 55600 (D) 50400 (E) 45200
Answer: D
An 11-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point? Answer Choice: (A) 3/7 (B) 5/8 (C) 3/10 (D) 5/11 (E) 6/11
Answer: E
Krishna bought some wheat at Rs. 10 per kilogram. He buys 2 kg wheat from a ration shop at the rate of Rs. 8 per kilogram. He mixes the two and sells at Rs. 11 per kilogram. He makes 25% profit. What is the ratio of non-ration to ration wheat? Answer Choice: (A) 1:4 (B) 1:5 (C) 5:1 (D) 2:5 (E) None of the above
Answer: E
20 litres of water are poured into an aquarium of dimensions 50cm length, 20cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³) Answer Choice: (A) 6 (B) 8 (C) 10 (D) 20 (E) 40
Answer: D
A cistern 8m 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) 62 m2 (B) 50 m2 (C) 53.5 m2 (D) 55 m2 (E) 57 m2
Answer: A
Arrange the words given below in a meaningful sequence.
1. Poverty 2. Population 3. Death 4. Unemployment 5. Disease Answer Choice: (A) 2, 4, 1, 5, 8 (B) 2, 4, 1, 5, 7 (C) 2, 4, 1, 5, 3 (D) 2, 4, 1, 5, 9 (E) 2, 4, 7, 5, 3
Answer: C
What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ? Answer Choice: (A) 1286 (B) 1436 (C) 1216 (D) 1386 (E) 1298
Answer: D
A space shuttle orbits the earth at about 9 kilometers per second. This speed is equal to how many kilometers per hour? Answer Choice: (A)  480 (B)  2,880 (C)  4,800 (D)  28,800 (E)  32,400
Answer: E
The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers? Answer Choice: (A) 22 (B) 42 (C) 44 (D) 55 (E) 77
Answer: B
Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 3w widgets? Answer Choice: (A) 4 (B) 6 (C) 18 (D) 10 (E) 12
Answer: C
How many different possible arrangements X can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's? Answer Choice: (A) 360 (B) 720 (C) 900 (D) 1800 (E) 5040
Answer: C
Average age of 18 men is decreased by 1 year when one man whose age is 49 years is replaced by a new man. Find age of the new man Answer Choice: (A) 31 (B) 77 (C) 88 (D) 29 (E) 22
Answer: A
If a:b=2:5, b:c=3:7 and c:d=1:3 find a:b:c:d? Answer Choice: (A) 6:15:25:115 (B) 6:15:35:115 (C) 6:15:35:105 (D) 6:15:35:125 (E) None of these
Answer: C
How many 5 digit number contain number 3 ? Answer Choice: (A) 31512 (B) 32512 (C) 33512 (D) 34512 (E) 37512
Answer: E
Which of the following is equal to 1(1/7)%? Answer Choice: (A) 0.012/100 (B) 0.12/100 (C) 1.14/100 (D) 12/100 (E) 12/10
Answer: C
In a college of 525 students, each student takes at least 2 items from among idly, dosa, puri, and chapati for his breakfast. If 375 students take idly, 375 take dosa, 375 students take puri nad 375 students take chapati for their breakfast, the number of students who take all the four items is at most ? Answer Choice: (A) 275 (B) 300 (C) 225 (D) 325 (E) None of these
Answer: C
Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 30 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B? Answer Choice: (A) 80 lakh (B) 50 lakh (C) 48 lakh (D) 60 lakh (E) None of these
Answer: C
How many positive integers less than 5,000 are there in which the sum of the digits equals 5? Answer Choice: (A) 64 (B) 62 (C) 63 (D) 61 (E) 56
Answer: E