loafeihong/math_mmlu_format huggingface dataset:
There are eight different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models? Answer Choice: (A) 72 (B) 48 (C) 284 (D) 24 (E) 8
Answer: C
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p +2? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: B
Average of 5 numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers? Answer Choice: (A) -33 (B) -35 (C) -39 (D) -42 (E) 32
Answer: A
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons? Answer Choice: (A) 180 (B) 183 (C) 190 (D) 210 (E) 212
Answer: D
If you have 5 New Year greeting cards and you want to send them to 2 of your friends, in how many ways can this be done? Answer Choice: (A) 60 (B) 20 (C) 92 (D) 67 (E) None
Answer: B
Each of the 35 points is placed either inside or on the surface of a perfect sphere. If 88% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere? Answer Choice: (A) 7 (B) 11 (C) 13 (D) 14 (E) 15
Answer: E
Find the average of all the numbers between 11 and 34 which are divisible by 10? Answer Choice: (A) 10 (B) 20 (C) 25 (D) 30 (E) 15
Answer: C
7,12,40,222,1742,17390,208680 which number is wrong in series Answer Choice: (A) 7 (B) 12 (C) 40 (D) 222 (E) 1742
Answer: A
S is a set of 50 consecutive multiples of 2. If the smallest number in S is 56, then the greatest number in S is Answer Choice: (A) 198 (B) 154 (C) 199 (D) 102 (E) 105
Answer: B
A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on convenience he has Rs.1400 left with him,find his expenditure on food and conveyance. Answer Choice: (A) 1000 (B) 3000 (C) 4000 (D) 2000 (E) 5000
Answer: A
The total of the ages of Amar, Akbar and Anthony is 60 years. What was the total of their ages three years ago ? Answer Choice: (A) 50 years (B) 51 years (C) 52 years (D) 53 years (E) 55 years
Answer: B
If x and y are integers such that (x+1)^2 is less than or equal to 81 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy? Answer Choice: (A)  -16 (B)  -20 (C)  0 (D)  14 (E)  16
Answer: B
John can read m pages in 4 minutes. At this rate, how long will it take him to read n pages? Answer Choice: (A) 4m*n (B) (5/m)*n (C) (6/m)*n (D) (4/m)*n (E) (8/m)*n
Answer: D
If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 3.
II. x is an integer multiple of 6
III. x is an integer multiple of 4 Answer Choice: (A) a) I only (B) b) II only (C) c) I and II only (D) d) I and III only (E) e) I,II and III
Answer: C
IN Common Wealth Games an athlete runs 200 meters in 32 seconds. Hisspeed is ? Answer Choice: (A) 25 km/hr (B) 27 km/hr (C) 30 km/hr (D) 32 km/hr (E) None of these
Answer: E
A and B together can do a piece of work in 8 days. If A alone can do the same work in 20 days, then B alone can do the same work in? Answer Choice: (A) 0.075 days (B) 0.45 days (C) 0.55 days (D) 0.25 days (E) 0.15 days
Answer: A
At a certain college, 50 percent of the total number of students are freshmen. If 40 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts? Answer Choice: (A) 14% (B) 4% (C) 15% (D) 5% (E) 25%
Answer: B
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 30% on the cost price? Answer Choice: (A) 65 (B) 69.5 (C) 67.5 (D) 62.5 (E) 22.5
Answer: A
Among the answers given below, which is nearly equal to √7? Answer Choice: (A) 2.3 (B) 1.9 (C) 2.6 (D) 2.5 (E) 3.0
Answer: C
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 7 days ? Answer Choice: (A) X-1/8 (B) X-1/32 (C) X-1/64 (D) X-1/128 (E) X-1/164
Answer: D
Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.32 per ounce, what is the share of Arabica in this blend? Answer Choice: (A) 20% (B) 24% (C) 30% (D) 33% (E) 40%
Answer: A
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/9 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used? Answer Choice: (A) 18 (B) 144 (C) 104 (D) 216 (E) 250
Answer: C
Jim and Reneesh will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Reneesh have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win? Answer Choice: (A) 5/6 (B) 2/3 (C) 1/2 (D) 5/12 (E) 1/3
Answer: E
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 290 m in length? Answer Choice: (A) 18.9 sec (B) 88.9 sec (C) 22.9 sec (D) 24.00 sec (E) 72.0 sec
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 21 seconds. Find the length of the train. Answer Choice: (A) 350 m (B) 145 m (C) 240 m (D) 135 m (E) 255 m
Answer: A
A number is doubled and 4 is added. If the resultant is divided by 5, it becomes 25. What is that number? Answer Choice: (A) 73.5 (B) 68 (C) 60.5 (D) None of these (E) Cannot be determined
Answer: C
A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water? Answer Choice: (A) 7h (B) 3h (C) 4h (D) 2h (E) 9h
Answer: B
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many of Q applicants majored in political science and had a GPA higher than 3.0? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 25 (E) 35
Answer: A
A person buys an article at Rs.340. At what price should he sell the article so as to make a profit of 10%? Answer Choice: (A) 600 (B) 882 (C) 374 (D) 356 (E) 521
Answer: C
At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years? Answer Choice: (A) 4% (B) 7% (C) 9% (D) 3% (E) 1%
Answer: A
A and B are two circles. The radius of A is twice as large as the diameter of B. What is the ratio between the areas of the circles? Answer Choice: (A) 1:8. (B) 1:2. (C) 1:4. (D) 1:16 (E) 1:6.
Answer: D
Nathan is 3.4 miles from home and is traveling at 60 mph. How long until he is home? Answer Choice: (A) About 9 minutes (B) About 5 and a half minutes (C) About 12 minutes and a half (D) About 16 minutes (E) About 2 minutes
Answer: B
Two persons starting from the same place walk at a rate of 9kmph and 12.5kmph respectively. What time will they take to be 24.5km apart, if they walk in the same direction? Answer Choice: (A) 7 hrs (B) 22 hrs (C) 5 hrs (D) 12 hrs (E) 16 hrs
Answer: A
An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $1,925, what was the total number of pairs of contact lenses that she sold? Answer Choice: (A)  11 (B)  13 (C)  15 (D)  17 (E)  19
Answer: C
X can finish a work in 20 days. Y can finish the same work in 16 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work? Answer Choice: (A) 2 (B) 3 (C) 9 (D) 5 (E) 8
Answer: D
In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x. Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) None of the above
Answer: E
In how many different ways can the letters of the word ATRIUMS be arranged in such a way that the vowels occupy only the even positions? Answer Choice: (A) 72 (B) 96 (C) 120 (D) 144 (E) 180
Answer: D
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected? Answer Choice: (A) 187 ways (B) 500 ways (C) 168 ways (D) 659 ways (E) 175 ways
Answer: B
Recently, I decided to walk down an escalator of a tube station. I did some quick calculation in my mind. I found that if I walk down twenty " six steps, I require thirty seconds to reach the bottom. However, if I am able to step down thirty " four stairs, I would only require eighteen seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time I step off the last step at the bottom? Answer Choice: (A) 43 (B) 44 (C) 45 (D) 40 (E) 46
Answer: E
A person bought 114 glass bowls at a rate of Rs. 13 per bowl. He sold 108 of them at Rs. 17 and the remaining broke. What is the percentage gain for A? Answer Choice: (A) 40 (B) 3000/11 (C) 5900/247 (D) 2790/11 (E) 2709/8
Answer: C
A man can hit the target once in four shots. If he fires four shots in succession, what is the probability that he will hit the target? Answer Choice: (A) 1 (B) 1/256 (C) 81/256 (D) 175/256 (E) 185/256
Answer: D
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x? Answer Choice: (A) -4 (B) -2 (C) 11 (D) 13 (E) 22
Answer: C
Among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from the 2,500 people, what is the probability that the person selected will be one who invests in municipal bonds but NOT in oil stocks? Answer Choice: (A) 9/50 (B) 7/25 (C) 7/20 (D) 21/50 (E) 27/50
Answer: B
If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 2
II. y = 0
III. x = 0 Answer Choice: (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III
Answer: C
Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. if he sells the scooter for Rs. 5800, his gain percent is : Answer Choice: (A) 4 4/7& (B) 5 5/11% (C) 10% (D) 12% (E) 15%
Answer: B
If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004? Answer Choice: (A) Sunday (B) Wednesday (C) Friday (D) Monday (E) Tuesday
Answer: B
The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is? Answer Choice: (A) 35yr (B) 25yr (C) 20yr (D) 30yr (E) 40yr
Answer: A
How many triangles can be formed by joining the vertices of an octagon? Answer Choice: (A) 50 (B) 56 (C) 23 (D) 12 (E) 89
Answer: B
In the equation m = 36.12n, n and m are integers. If m/n 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
Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for p dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month? Answer Choice: (A) x/(y - p) (B) x/(p - y) (C) x (D) x/p (E) x/y
Answer: B
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by: Answer Choice: (A) 33 (B) 25 (C) 88 (D) 29 (E) 10
Answer: B
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be: Answer Choice: (A) Rs. 169.50 (B) Rs. 170 (C) Rs. 175.50 (D) Rs. 180 (E) Rs. 190
Answer: C
Find the largest 4 digit number which isexactly divisible by 88? Answer Choice: (A) 4567 (B) 3588 (C) 9944 (D) 5465 (E) 6784
Answer: C
Angelina walked 180 meters from her home to the grocery at a constant speed. She then walked 240 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 12
Answer: B
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the total share of A & B in profit of Rs.12100 after a year? Answer Choice: (A) Rs.6030 (B) Rs.4050 (C) Rs.6050 (D) Rs.7050 (E) Rs.6080
Answer: C
One fourth of a solution that was 12% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight? Answer Choice: (A) 34% (B) 28% (C) 22% (D) 18% (E) 8.5%
Answer: B
Nathan took out a student loan for 1200$ at 10 percent annual interest, compounded annually. If he did not repay any of the loan or interest during the first 3 years, which of the following is the closest to the amount of interest he owed for the 3 years. Answer Choice: (A) 360 (B) 390 (C) 400 dollars (D) 410 (E) 420
Answer: C
In a race with 30 runners where 5 trophies will be given to the top 9 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done? Answer Choice: (A) 9^5 ways (B) 8^9 ways (C) 7^8 ways (D) 8^7 ways (E) 8^6 ways
Answer: A
Look at this series: 65, 77, 84, __, 91, 98, 65, 105, ... What number should fill the blank? Answer Choice: (A) 60 (B) 70 (C) 82 (D) 77 (E) 65
Answer: E
What will come in place of the x in the following Number series? 1, 2, 4, 7, 12, 19, X Answer Choice: (A) 23 (B) 30 (C) 31 (D) 41 (E) 29
Answer: B
If soundharya rows 49 km upstream and 77 km down steam taking 7 hours each, then the speed of the stream Answer Choice: (A) 6 kmph (B) 5 kmph (C) 2 kmph (D) 3 kmph (E) 4 kmph
Answer: C
In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $1,500 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $6,000 higher that M, then what percentage of apartments in the building are two-bedroom apartments? Answer Choice: (A) 40% (B) 35% (C) 30% (D) 20% (E) 28%
Answer: D
3 6 7 12 13 18 19 24 . ? Answer Choice: (A) 24 (B) 25 (C) 26 (D) 27 (E) 28
Answer: B
The sum W of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by Wn = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted. Answer Choice: (A) 4345 (B) 4302 (C) 4258 (D) 4214 (E) 4170
Answer: D
o mow a grass field a team of mowers planned to cover 15 hectares a day. After 4 working days they increased the daily productivity by 33×13%33×13%, and finished the work 1 day earlier than it was planned.
A) What is the area of the grass field?
B) How many days did it take to mow the whole field?
C) How many days were scheduled initially for this job? Answer Choice: (A) 387 (B) 39 (C) 37 (D) 20 (E) 28
Answer: D
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following? Answer Choice: (A) 13 (B) 31 (C) 49 (D) 53 (E) 67
Answer: D
A cube of side 1.5 meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained? Answer Choice: (A) 2878 (B) 3375 (C) 1000 (D) 2997 (E) 2701
Answer: B
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.5 years, The ratio of the number of boys to the number of girls in the class is Answer Choice: (A) 1 : 2 (B) 2 : 3 (C) 9 : 3 (D) 6 : 3 (E) 2 : 5
Answer: A
Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $50 per month and Plan B costs $150 per month per customer. If the company’s average revenue per customer per month is $100, then what percent of the company's revenue comes from customers with Plan A? Answer Choice: (A) 25% (B) 50% (C) 37.5% (D) 56.25% (E) 75%
Answer: A
There are 456 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital? Answer Choice: (A) 264 (B) 209 (C) 57 (D) 171 (E) 181
Answer: A
The true discount on a bill of Rs. 540 is Rs. 90. The Banker’s discount is Answer Choice: (A) Rs. 60 (B) Rs. 108 (C) Rs. 110 (D) Rs. 112 (E) None of these
Answer: B
(1/34)+(1/35)+……+(1/64)+(1/65) is including in which of the following ranges? Answer Choice: (A) 1/2~1 (B) 1 (C) 2 (D) 3 (E) 4
Answer: A
The S.I. on a certain sum of money for 2 years at 4% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is? Answer Choice: (A) 5250 (B) 1267 (C) 5750 (D) 2267 (E) 5262
Answer: A
The speed of a boat in still water is 90kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? Answer Choice: (A) 40, 68 kmph (B) 110, 70 kmph (C) 90, 60 kmph (D) 40, 60 kmph (E) 20, 60 kmph
Answer: B
If A speaks the truth 80% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time Answer Choice: (A) 0.49 (B) 0.48 (C) 0.41 (D) 0.482 (E) 0.411
Answer: B
In the third grade of Windblown School there are 78 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests? Answer Choice: (A) 0. (B) 6. (C) 8. (D) 10. (E) 12.
Answer: A
If 1535/1038 = a+1/[b+1 /{c+(d+1/e)}]. Find a*b*c*d*e? Answer Choice: (A) 165/2 (B) 175/2 (C) 178/3 (D) 187 by 2 (E) 197/2
Answer: D
(469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ? Answer Choice: (A) 174 (B) 178 (C) 171 (D) 176 (E) 170
Answer: A
Which of the following numbers is divisible by 11? Answer Choice: (A) 4424 (B) 2232 (C) 1522 (D) 8524 (E) 9515
Answer: E
A no. Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3? Answer Choice: (A) 1/5 (B) 2/5 (C) 3/7 (D) 3/11 (E) 2/7
Answer: C
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 2. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased? Answer Choice: (A) 3, 8, 24 (B) 7, 9, 17 (C) 6, 9, 12 (D) 5, 15, 18 (E) 9, 10, 13
Answer: B
Two partners in a business (James and Kelly) invested $900 and $1600 in a business respectively. At the end of the year they made a profit of $950. Find share of each partner? Answer Choice: (A) $352,$657 (B) $392,$608 (C) $342,$408 (D) $342,$608 (E) $347,$608
Answer: D
Jason flips a coin three times. What is the probability X that the coin will land on the same side in all three tosses? Answer Choice: (A) 1/16 (B) 1/8 (C) 1/4 (D) 1/3 (E) 1/2
Answer: C
The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ? Answer Choice: (A) 15 (B) 29 (C) 64 (D) 39 (E) 35
Answer: B
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Answer Choice: (A) 228 (B) 240 (C) 887 (D) 166 (E) 1811
Answer: B
IN Common Wealth Games an athlete runs 200 meters in 30 seconds. Hisspeed is ? Answer Choice: (A) 24 km/hr (B) 27 km/hr (C) 30 km/hr (D) 32 km/hr (E) None of these
Answer: A
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children A & B must sit next to each other, and child C must be somewhere to the right of A & B. How many possible configurations are there for the children? Answer Choice: (A) 600 (B) 720 (C) 1440 (D) 4320 (E) 4800
Answer: B
January 25, 2014, fell on a Saturday. On which day of the week did January 25, 2016, fall? (Note: 2016 was a leap year.) Answer Choice: (A) Sunday (B) Monday (C) Tuesday (D) Wednesday (E) Thursday
Answer: B
A person buys an article at $800. At what price should he sell the article so as to make a profit of 12%? Answer Choice: (A) 896 (B) 890 (C) 990 (D) 789 (E) 740
Answer: C
How many T ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles? Answer Choice: (A) 120 (B) 240 (C) 360 (D) 540 (E) 720
Answer: B
If the sum of all consecutive integers from A to B (A<B), inclusive, is S and the average (arithmetic mean) of these integers is M, then, in terms of A, B, and S, what is the value of M? Answer Choice: (A) 2S/(A+B+1) (B) 2S/(A+B) (C) (B−A)/2 (D) S/(B−A+1) (E) (B−A)/(2S)
Answer: D
In the first hour of a two-hour trip, a car traveled d kilometers, and in the second hour of the trip, the car traveled one third that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour? Answer Choice: (A)  d (B)  1/3*d (C)  1/2*d (D)  3/4*d (E)  2/3*d
Answer: E
What is the place value of 4 in the numeral 488? Answer Choice: (A) 40 (B) 400 (C) 4 (D) 4000 (E) 20
Answer: B
If x <<< 1000, then the value of (x-1)/(3x+1) is closest to? Answer Choice: (A) 1/5 (B) 1/7 (C) 1/2 (D) 1/3 (E) 1/4
Answer: D
The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choice: (A) 20,35,45 (B) 8,20,28 (C) 16,28,36 (D) 16,28,46 (E) None of these
Answer: C
Two trains 100 meters and 120 meters long are running in the same direction with speeds of 100 km/hr, 82 km/hr. In how much time will the first train cross the second Answer Choice: (A) 37 sec (B) 35 sec (C) 48 sec (D) 44 sec (E) 36 sec
Answer: D
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.20000, my total savings for the two-year is Answer Choice: (A) s. 8000 (B) s. 9000 (C) s. 9900 (D) s. 9990 (E) s. 11000
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) 9000 (D) 10000 (E) 11000
Answer: B
How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together? Answer Choice: (A) 42 (B) 20 (C) 72 (D) 54 (E) 43
Answer: C
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 100%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged? Answer Choice: (A) 100% decrease (B) 50% decrease (C) 40% decrease (D) 40% increase (E) 50% increase
Answer: D
A man two flats for $512456 each. On one he gains 20% while on the other he loses 20%. How much does he gain or lose in the whole transaction? Answer Choice: (A) 10% (B) 5% (C) 12% (D) 6% (E) 4%
Answer: E