loafeihong/math_mmlu_format huggingface dataset:
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money? Answer Choice: (A) 7 months (B) 10 months (C) 9 months (D) 11 months (E) 8 months
Answer: B
Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target? Answer Choice: (A) probability is 1/27 (B) 16/81 (C) 8/27 (D) 19/27 (E) 26/27
Answer: A
When average age of 21 members are 0, how many members greater than 0? Answer Choice: (A) 17 (B) 20 (C) 21 (D) 24 (E) 25
Answer: B
An owner of a pizza stand sold small slices of pizza for Rs. 150 each and large slices for Rs. 250 each. One night he sold 5000 slices, for a total of Rs. 10.50 lakh. How many small slices were sold? Answer Choice: (A) 3000 (B) 2000 (C) 4000 (D) 2500 (E) 3500
Answer: B
Ten years ago, a mother was four times older than her daughter. After ten years, the mother will be twice older than daughter. The present age of the daughter is Answer Choice: (A) 22 (B) 21 (C) 24 (D) 20 (E) 19
Answer: D
In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually Answer Choice: (A) 2 Years (B) 3 Years (C) 4 Years (D) 5 Years (E) None of these
Answer: B
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 13 km/hr respectively. They will meet for the first time in? Answer Choice: (A) 50min (B) 33min (C) 35min (D) 25min (E) 20min
Answer: B
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? Answer Choice: (A) 63 (B) 25 (C) 40 (D) 65 (E) 98
Answer: A
From the below series find the remainder? 1201 × 1203 ×1205 × 1207 is divided by 6? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: A
If 0 < a < b and k = (2a + 12b)/b , which of the following must be true? Answer Choice: (A) k < 2 (B) k < 7 (C) k < 9 (D) k > 9 (E) k > 11
Answer: E
A plant manager must assign 12 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers? Answer Choice: (A) 23760 (B) 47520 (C) 33000 (D) 48600 (E) 54000
Answer: A
In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 5 and a y-intercept of -5. If the two lines intersect at the point (a,b), what is the sum a+b? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
If A= {2, 4, 6}, B= {1, 2, 5, 7}, and C= {2, 3, 4, 6}. Find A-(B U C) Answer Choice: (A) {1 , 2} (B) {2 ,3 ,5 } (C) { } (D) {5 } (E) None of these
Answer: C
A radio station has to choose two days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed? Answer Choice: (A) 9 (B) 15 (C) 21 (D) 35 (E) 56
Answer: C
John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one poetry? Answer Choice: (A) 1/2 (B) 2/5 (C) 3/10 (D) 7/20 (E) 16/45
Answer: E
How many trailing Zeroes does 53! + 54! have? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: B
A person took some amount with some interest for 5 years, but increase the interest for 1%, he paid Rs.250/- extra, then how much amount he took? Answer Choice: (A) Rs.5500/- (B) Rs.6000/- (C) Rs.4000/- (D) Rs.5000/- (E) None of these
Answer: D
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.019 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ? Answer Choice: (A)  $7.15 (B)  $8.87 (C)  $33.92 (D)  $35.57 (E)  $39.62
Answer: C
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast? Answer Choice: (A) 10% (B) 12% (C) 15% (D) 17% (E) 20%
Answer: D
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is Answer Choice: (A) 4:1 (B) 4:2 (C) 4:5 (D) 6:3 (E) 3:6
Answer: D
If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+69)=? Answer Choice: (A) 3675 (B) 3575 (C) 3475 (D) 3375 (E) 3275
Answer: A
The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answer Choice: (A) 227 (B) 299 (C) 276 (D) 750 (E) 900
Answer: E
Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E) Answer Choice: (A) 1/2 (B) 1/7 (C) 1/4 (D) 1/3 (E) 1/5
Answer: C
In 1995, there are 28 days in February and there are 365 days in the year. In 1996, there are 29 days in February and there are 366 days in the year. If the date February 12, 1995 is a Wednesday, then which one of the following would the date February 12, 1996 be? Answer Choice: (A) Thursday (B) Friday (C) Saturday (D) Sunday (E) Monday
Answer: B
In a covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is? Answer Choice: (A) 2 hrs (B) 3 hrs (C) 5 hrs (D) 6 hrs (E) 4 hrs
Answer: A
In a workshop there are 4 kinds of beds, 2 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet? Answer Choice: (A) 168. (B) 80. (C) 56. (D) 48. (E) 72.
Answer: E
What is the average of first 21 multiples of 6 ? Answer Choice: (A) A)66 (B) B)77 (C) C)79 (D) D)81 (E) E)82
Answer: A
Machine A and machine B are each used to manufacture 550 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machineAproduce? Answer Choice: (A) 5.5 (B) 6.6 (C) 60 (D) 100 (E) 110
Answer: A
Which of the following numbers is two more than the square of an odd integer? Answer Choice: (A) 14,173 (B) 14,361 (C) 15,131 (D) 15,737 (E) 15,981
Answer: C
How many positive integers S less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ? Answer Choice: (A) 19 (B) 18 (C) 17 (D) 16 (E) 15
Answer: E
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 16 km apart, if they walk in the same direction? Answer Choice: (A) 5hours (B) 6hours (C) 8hours (D) 16hours (E) 12hours
Answer: C
John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) 19 (B) 19.7 (C) 19.9 (D) 20.9 (E) 21
Answer: B
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother six years younger to her was born. What is the difference between the ages of her parents? Answer Choice: (A) 2 years (B) 4 years (C) 6 years (D) 7 years (E) 8 years
Answer: E
A group of tourists wants to visit only two or three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary. Answer Choice: (A) 24 (B) 28 (C) 32 (D) 36 (E) 40
Answer: D
The difference between a number and its two-fifth is 510. What is 12% of that number? Answer Choice: (A) 58 (B) 110 (C) 76 (D) 102 (E) 86
Answer: D
A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then? Answer Choice: (A) 144 (B) 121 (C) 256 (D) 320 (E) 169
Answer: A
subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 10 pages. Answer Choice: (A) 8 (B) 10 (C) 12 (D) 4 (E) 16
Answer: D
What is the absolute value of twice the difference of the roots of the equation W=5y^2 − 20y + 15 = 0 ? Answer Choice: (A)  0 (B)  1 (C)  2 (D)  3 (E)  4
Answer: E
The product Z of two prime numbers is between 15 and 36. If one of the prime numbers is greater than 2 but less than 6 and the other prime number is greater than 8 but less than 24, then what is Z? Answer Choice: (A) 35 (B) 33 (C) 28 (D) 21 (E) 15
Answer: B
Laura can paint 1/x of a certain room in 20 minutes. What fraction Z of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates? Answer Choice: (A) 1/(3x) (B) 3x/(x-3) (C) (x – 3)/(3x) (D) x/(x-3) (E) (x-3)/x
Answer: C
The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 100% capacity, how long will it take to drain the pool? Answer Choice: (A) 1400 (B) 1600 (C) 1800 (D) 1500 (E) 2000
Answer: E
If one-third of one-fourth of a number is 25, then three-tenth of that number is:
A. 35 Answer Choice: (A) 23 (B) 90 (C) 26 (D) 54 (E) 01
Answer: B
13 sheeps and 9 pigs were bought for Rs. 1291.85.If the average price of a sheep be Rs. 74. What
is the average price of a pig. Answer Choice: (A) Rs. 26.65 (B) Rs. 36.55 (C) Rs. 35.65 (D) Rs. 36.65 (E) Rs. 33.65
Answer: D
The probability that a number selected at random from the first 50 natural numbers is a composite number is ? Answer Choice: (A) 17/27 (B) 17/25 (C) 17/17 (D) 17/88 (E) 17/22
Answer: B
What percent is 36 paisa's of 12 rupees? Answer Choice: (A) 3 % (B) 4 % (C) 5 % (D) 6 % (E) 7 %
Answer: A
add 11% of 36 and 12% of 64. Answer Choice: (A) 9.5 (B) 10.5 (C) 11.5 (D) 12 (E) 15
Answer: C
Without stoppages, a train travels certain distance with an average speed of 400 km/h, and with stoppages, it covers the same distance with an average speed of 360 km/h. How many minutes per hour the train stops ? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
30 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus? Answer Choice: (A) 625 (B) 870 (C) 576 (D) 676 (E) 700
Answer: B
Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 240 envelopes Answer Choice: (A) 6 minutes (B) 5 minutes (C) 7 minutes (D) 3 minutes (E) 4 minutes
Answer: E
A man buys 25 lts of liquid which contains 20% of the liquid and the rest is water. He then mixes it with 25 lts of another mixture with 30% of liquid. What is the % of water in the new mixture? Answer Choice: (A) 55 (B) 82 (C) 73 (D) 75 (E) 85
Answer: D
1300 boys and 700 girls are examined in a test; 52% of the boys and 43% of the girls pass. The percentage of the total who failed is ? Answer Choice: (A) A)63.3% (B) B)52.4% (C) C)81.2% (D) D)51.15% (E) E)69.1%
Answer: D
he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence? Answer Choice: (A) 1797787 (B) 1797723 (C) 179776 (D) 179728 (E) 179718
Answer: C
How many positive integers less than 50 are multiples of 2 but NOT multiples of 5? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 10 (E) 20
Answer: E
Rewrite (10^38) – 85 as a base 10 integer, what is the sum of the digits in that integer? Answer Choice: (A) 354 (B) 357 (C) 330 (D) 370 (E) 360
Answer: C
JC has to visit at least 2 European cities on his vacation trip. If he can visit only London, Paris, Rome, or Madrid, how many different itineraries, defined as the sequence of visited cities, can JC create? Answer Choice: (A) 12 (B) 36 (C) 48 (D) 60 (E) 72
Answer: D
If two of the four expressions a + b , b + 7b, a - b, and 7a - b are chosen at random, what is the probability that their product will be of the form of a^2-(xb)^2, where x is an integer? Answer Choice: (A) 1/2 (B) 1/7 (C) 1/6 (D) 1/8 (E) 1/5
Answer: C
A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 65% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight? Answer Choice: (A)  7/12 (B)  1/4 (C)  1/2 (D)  7/24 (E)  17/24
Answer: E
Shiwani thought of a two-digit number and divided the number by the sum of the digits of the number. He found that the remainder is 3. Devesh also thought of a two-digit number and divided the number by the sum of the digits of the number. He also found that the remainder is 3. Find the probability that the two digit number thought by Shiwani and Devesh is TRUE? Answer Choice: (A) 1/15 (B) 1/14 (C) 1/12 (D) 1/13 (E) 1/17
Answer: B
In a certain pond, 90 fish were caught, tagged, and returned to the pond. A few days later, 90 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond? Answer Choice: (A) 400 (B) 625 (C) 1250 (D) 2500 (E) 4091
Answer: E
How many seconds will a 500 meter 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) 338 (B) 277 (C) 500 (D) 127 (E) 181
Answer: C
In how many of ways can 4 balls be placed in 3 tins if any number of balls can be placed in any tin? Answer Choice: (A)  5C4 (B)  5P4 (C)  3^4 (D)  4^5 (E)  5^5
Answer: C
If the number 653ab is divisible by 90, then (a + b) = ? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 8
Answer: C
For all positive integers x, f(x)=f(x+1). If f(3)=15, then what is f(7)? Answer Choice: (A) 8 (B) 12 (C) 15 (D) 21 (E) 35
Answer: C
A shopkeeper sold an article for 720 after giving 10% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’? Answer Choice: (A) 25% (B) 30% (C) 23% (D) 28% (E) None of these
Answer: E
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss? Answer Choice: (A) 337 (B) 280 (C) 299 (D) 266 (E) 299
Answer: B
In the new budget the price of milk rose by 20%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase? Answer Choice: (A) 7.5% (B) 9.1% (C) 10.9% (D) 16.67% (E) 15%
Answer: D
A car is running at a speed of 90 kmph. What distance will it cover in 15 second? Answer Choice: (A) 375 m (B) 395 m (C) 373 m (D) 372 m (E) 371 m
Answer: A
A motor car starts with the speed of 70km/hr with its speed increasing every two hours by 10kmph. In how many hours will it cover 345 kms Answer Choice: (A) 4 hrs (B) 5 hrs (C) 6 hrs (D) 4 ½ hrs (E) 5 hrs
Answer: D
A military commander has to choose 2 soldiers out of a company of 4 for guarding the headquarters. How many different group combinations of 2 does he have to choose from? Answer Choice: (A) 4 (B) 10 (C) 12 (D) 15 (E) 35
Answer: B
In a group of 140 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20? Answer Choice: (A) 0.35 (B) 0.55 (C) 0.65 (D) 0.75 (E) 0.85
Answer: A
In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi? Answer Choice: (A) 1/3 (B) 2/7 (C) 2/5 (D) 3/7 (E) 3/11
Answer: C
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction. Answer Choice: (A) 8/27 (B) 1 1/3 (C) 2 2/3 (D) 3 /3 (E) None of these
Answer: C
If 6 spiders make 3 webs in 7 days, then how many days are needed for 1 spider to make 1 web? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 15 (E) 16
Answer: C
Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift? Answer Choice: (A) 56 (B) 231 (C) 336 (D) 350 (E) 406
Answer: E
3 Years ago, the average age of a family of 5 members was 20 years. A baby having been born, the average age of the family is the same today. The present age of the baby is Answer Choice: (A) 1 year. (B) 1.5 Years. (C) 2 Years. (D) 3 Years. (E) 5 Years.
Answer: E
The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary? Answer Choice: (A) 910% increase (B) 10% increase (C) 9% decrease (D) 12% decrease (E) 15% increase
Answer: C
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and Q. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of Q if J is negative? Answer Choice: (A) -2 (B) Q=0 (C) 1 (D) 2 (E) 5
Answer: B
To asphalt 1km road, 30 men spent 12 days working 8 hours per day. How many days, 20 men will spend to asphalt a road of 2km working 14 hours a day? Answer Choice: (A) 24 (B) 23 (C) 24 (D) 20.57 (E) 22
Answer: D
The average age of a committee of 10 members is 25 years. A member aged 55 years retired and his place was taken by another member aged 35 years . The average age of
present committee is; Answer Choice: (A) 23 years (B) 38 years (C) 36 years (D) 35 years (E) 37 years
Answer: A
A board 6ft. 9 inches long is divided into 3 equal parts . What is the length of each part? Answer Choice: (A) 5ft. 7 inches (B) 3ft. 7 inches (C) 2ft. 3 inches (D) 2ft. 7 inches (E) 1ft. 7 inches
Answer: C
A company pays 18.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares? Answer Choice: (A) 25 (B) 66 (C) 18 (D) 37 (E) 01
Answer: D
A man saves 30% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 30%, he is only able to save Rs. 300 per month. What is his monthly salary? Answer Choice: (A) Rs. 4000 (B) Rs. 3750 (C) Rs. 5000 (D) Rs. 5500 (E) Rs. 6500
Answer: B
What least number should be subtracted from 3,381 so that the remainder when divided by 9, 11, and 17 will leave in each case the same remainder 8 ? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 12 (E) 15
Answer: B
Company X provides bottled water to its employees in 10 liter bottles, $2 each. At least how many 10L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 50L bottle each paid off? (Assume that no other costs apply) Answer Choice: (A)  28 (B)  29 (C)  30 (D)  31 (E)  32
Answer: A
X completes a work in 120 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be? Answer Choice: (A) 24 days. (B) 22days. (C) 34 days. (D) 40 days. (E) 45 days.
Answer: A
There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? Answer Choice: (A) 120 (B) 720 (C) 1,060 (D) 1,520 (E) 1,980
Answer: E
The LCM of two numbers is 2310 and HCF is 30. If one of the numbers is 210. Then what is the other number ? Answer Choice: (A) 715 (B) 825 (C) 330 (D) 582 (E) 465
Answer: C
Between 100 and 200, how many numbers are there in which one digit is the average of the other two? Answer Choice: (A) 11 (B) 12 (C) 10 (D) 8 (E) 9
Answer: A
mixture contains alcohol and water in the ratio 4 : 3. If 8 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture. Answer Choice: (A) 10 (B) 99 (C) 27 (D) 4 (E) 29
Answer: D
A is 20 percent more efficient than B. If the two person can complete a piece of work in 60 days.in how many days. A working alone can complete the work Answer Choice: (A) 110 (B) 277 (C) 287 (D) 279 (E) 2781
Answer: A
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $6 more than 1/4 of the fine and Peter paid $6 less than 1/3 of the fine, leaving pay $10 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay? Answer Choice: (A) $50 (B) $40 (C) $35 (D) $44 (E) $45
Answer: A
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year? Answer Choice: (A) 32 : 48 (B) 32 : 42 (C) 32 : 45 (D) 32 : 41 (E) 42 : 45
Answer: C
65 + 5 * 12 / (180/3) = ? Answer Choice: (A) 22 (B) 77 (C) 29 (D) 66 (E) 21
Answer: D
Mother is aged 3times more than her daughter Rose. After 8 years, she would be two and a 1/2times of Rose's age. After further 8 years, how many times would he be of Rose's age? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 6
Answer: B
What approximate value should come in place of the question mark (?) in the following equation ?
2⁄7 of 1596 + 3015 = ? – 2150 Answer Choice: (A) 7200 (B) 48000 (C) 5610 (D) 58000 (E) 6300
Answer: C
If (1 – 1.25)N = 3, then N = Answer Choice: (A)  −400 (B)  −140 (C)  −4 (D)  4 (E)  -12
Answer: E
If a and b are positive integers, which of the following cannot be odd? Answer Choice: (A) (2+4a)/(4+4b) (B) (4a)/(b) (C) a/b (D) (4+a)/(2+4b) (E) (4+a)/(1+4b)
Answer: A
The telephone bill of a certain establishment is party fixed and partly varies as the number of calls consumed. When in a certain month 540 calls made the bill is Rs.1800. In another month 620 calls are consumed then the bill becomes Rs.2040. In another month 500 units are consumed due to more holidays. The bill for that month would be : Answer Choice: (A) Rs.1560 (B) Rs.1680 (C) Rs.1840 (D) Rs.1950 (E) Rs.1850
Answer: B
Three people each took 4 tests. If the ranges of their scores in the 4 practice tests were 17, 28 and 35, what is the minimum possible range in scores of the three test-takers? Answer Choice: (A) a 17 (B) b) 28 (C) c) 35 (D) d) 45 (E) e) 80
Answer: B
Mary rolls a die 5 times. What is the probability that she gets a one on the last one of the five rolls? Answer Choice: (A) 100/1000 (B) 7775/7776 (C) none (D) 1 (E) 888/881
Answer: B
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is? Answer Choice: (A) 15 (B) 16 (C) 18 (D) 25 (E) 20
Answer: B
Three grades of milk are 1 percent,4 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z? Answer Choice: (A) y + 3z (B) (y +z) / 4 (C) 2y + 3z (D) 3y + z (E) 4y + 3z
Answer: E