loafeihong/math_mmlu_format huggingface dataset:
At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 10. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 13. How many cooks does the restaurant have? Answer Choice: (A) 4 (B) 6 (C) 9 (D) 12 (E) 15
Answer: D
How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,U,R,S,and T so that letter P is to the left of letter R? Answer Choice: (A) 60 (B) 30 (C) 90 (D) 120 (E) 75
Answer: A
If the product 4864*9 P 2 is divisible by 12, the value of p? Answer Choice: (A) 1 (B) 5 (C) 6 (D) 7 (E) 9
Answer: A
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 144 of the workers of that company are men, how many of the workers are women? Answer Choice: (A) 80 (B) 95 (C) 105 (D) 120 (E) 126
Answer: E
The average (arithmetic mean) of eight numbers is 44.1. If the sum of half of these numbers is 156.4, what is the average of the other half? Answer Choice: (A) 12.8 (B) 24.2 (C) 49.1 (D) 72.1 (E) 96.8
Answer: C
What is the median from the below series 90, 92, 93, 88, 95, 88, 97, 87, and 98 Answer Choice: (A) 80 (B) 85 (C) 92 (D) 97 (E) 100
Answer: C
12 men can complete any work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only the women were to complete the remaining work in 4 days, then how many women would be required? Answer Choice: (A) 60 (B) 74 (C) 68 (D) 75 (E) 70
Answer: B
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Answer Choice: (A) 7 sec. (B) 6 sec (C) 3 sec. (D) 1 sec. (E) 8 sec.
Answer: B
An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second? Answer Choice: (A) 23.000 degrees / second (B) 43.000 degrees / second (C) 52.000 degrees / second (D) 18.000 degrees / second (E) 29.000 degrees / second
Answer: D
A car traveled the first quarter of a certain distance at five times the speed it traveled the remaining distance. What proportion of the total time traveled, was the time taken to travel the first quarter of the distance? Answer Choice: (A) 1/14 (B) 1/15 (C) 1/16 (D) 1/17 (E) 1/18
Answer: C
Jerry received a 10% raise each month for two consecutive months. What was his starting salary if after the two raises his salary is $1452? Answer Choice: (A) $1,200 (B) $1,300 (C) $1,331 (D) $1,380 (E) $1,403
Answer: A
A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is? Answer Choice: (A) 32 (B) 28 (C) 40 (D) 27 (E) 21
Answer: C
30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work? Answer Choice: (A) 11 (B) 10 (C) 19 (D) 187 (E) 12
Answer: B
A baseball player just signed a new contract in which he will earn a 12% raise in base pay over last year. Last year he earned no performance bonus, but this year he will have the opportunity to earn up to $50,000 in extra pay through performance. If he earns the full performance bonus, his salary will effectively have been raised by 12.5% from the last year. Assuming he earns the full performance bonus, what will his new salary be? Answer Choice: (A) 5,150,000 (B) 10,550,000 (C) 11,250,000 (D) 11,450,000 (E) 12,250,000
Answer: C
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000? Answer Choice: (A) 6620 (B) 6628 (C) 6520 (D) 6629 (E) 6609
Answer: A
The average of 6 observations is 12. A new observation is included and the new average is decreased by 1. The seventh observation is? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 6 (E) 7
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 3 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: C
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is: Answer Choice: (A) 20 (B) 30 (C) 40 (D) 50 (E) None of these
Answer: A
A cylindrical water tower with radius 28 m and height 10 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank? Answer Choice: (A) 840 2/7 (B) 820 6/7 (C) 821 (D) 821 3/7 (E) 840
Answer: E
Which of the following numbers has four distinct prime factors? Answer Choice: (A) 204 (B) 231 (C) 308 (D) 320 (E) 390
Answer: E
A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads? Answer Choice: (A) 9% (B) 10% (C) 11% (D) 13% (E) 15%
Answer: B
For the symbol, m”n=n^2−m for all values of m and n. What is the value of 4”2? Answer Choice: (A) 5 (B) 3 (C) 2 (D) 1 (E) 0
Answer: E
If 7 spiders make 7 webs in 7 days, then how many days are needed for 1 spider to make 1 web? Answer Choice: (A) 1 (B) 7 (C) 3 (D) 14 (E) 15
Answer: B
In a party every person shakes hands with every other person. If there were a total of 190 handshakes in the party then what is the number of persons present in the party ? Answer Choice: (A) 15 (B) 16 (C) 17 (D) 18 (E) 20
Answer: E
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Answer Choice: (A) 7 (B) 8 (C) 5 (D) 6 (E) 3
Answer: B
A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent? Answer Choice: (A) 6% (B) 8% (C) 5% (D) 2% (E) 4%
Answer: E
The difference between the place values of two threes in the numerical 40378273 is Answer Choice: (A) 29997 (B) 299997 (C) 297 (D) 0 (E) None of them
Answer: B
Find the C.I. on Rs. 15,625 for 9 months at 16% per annum compounded quarterly? Answer Choice: (A) Rs.1978 (B) Rs.1979 (C) Rs.1951 (D) Rs.1968 (E) Rs.1929
Answer: C
Kiran, an eight years old boy has 27 toys. He gave 19 toys to his brother Gourav, while Gourav playing all but 6 got destroyed. While Kiran playing all but 3 got destroyed. Finally how many toys left with both of them? Answer Choice: (A) 9 (B) 1 (C) 8 (D) 76 (E) 2
Answer: A
What is the units digit of (5!*5! + 6!*5!)/3? Answer Choice: (A) 4 (B) 3 (C) 2 (D) 1 (E) 0
Answer: E
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work? Answer Choice: (A) 3 days. (B) 2 days. (C) 4 days. (D) 1 days. (E) 6 days.
Answer: E
(x —1)(x + 3) > 0
(x +5)(x—4) < 0
Which of the following values of x satisfy both inequalities shown?
I. 3
II. -4
III. 8
IV. 5 Answer Choice: (A) I and II only (B) I and III only (C) II and III only (D) II and IV only (E) I, II, III, and IV
Answer: A
If x < 0 and 0 < y < 1, which of the following has the greatest value W? Answer Choice: (A) x^2 (B) (xy)^2 (C) (x/y)^2 (D) x^2/y (E) x^2*y
Answer: C
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40 Answer Choice: (A) 23 (B) 25 (C) 40 (D) 46 (E) 48
Answer: C
A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 17 (E) 20
Answer: E
In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and chuck are not seated next to each other? Answer Choice: (A) 72 (B) 48 (C) 56 (D) 76 (E) 96
Answer: A
The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is : Answer Choice: (A) 6 months (B) 8 months (C) 9 months (D) 10 months (E) None
Answer: D
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Answer Choice: (A) 532 m (B) 537 m (C) 500 m (D) 846 m (E) 536 m
Answer: C
Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is Answer Choice: (A) Rs. 4250 (B) Rs. 4228 (C) Rs. 4128 (D) Rs. 4988 (E) Rs. 4192
Answer: A
A taxi driver states that his cab number is divisible by the no 2,3,4,5,6 with a remainder of 1 and when the number is divided by 11 it does not give any remainder Answer Choice: (A) 101 (B) 11 (C) 121 (D) 111 (E) 131
Answer: C
Company S produces two kinds of radios: basic and deluxe. Of the radios produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe radio as it does to produce a basic radio, then the number of hours it took to produce the deluxe radio last month was what fraction of the total number of hours it took to produce all the radios? Answer Choice: (A) 7/17 (B) 2/3 (C) 8/17 (D) 6/17 (E) 3/4
Answer: A
A train 100 meters long completely crosses a 300 meters long bridge in 12 seconds. What is the speed of the train is? Answer Choice: (A) 32 kmph (B) 76 kmph (C) 120 kmph (D) 43 kmph (E) 40 kmph
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 reference work? Answer Choice: (A) 1/2 (B) 2/5 (C) 3/10 (D) 7/20 (E) probability= 8/45
Answer: E
One student to pass the subject as probability 1/4. another man to get driving licence and student passed subject probability 1/6. find the probability man get driving licence. Answer Choice: (A) 1/3 (B) 2/3 (C) 4/3 (D) 5/3 (E) 1/4
Answer: B
In how many ways can be 5 boys and 5 girls sit around circular table so that no two boys sit next to each other? Answer Choice: (A) (5!)^2 (B) (6!)^2 (C) 5!4! (D) 11! (E) (5!)^2*6!
Answer: C
R is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in R?
I. 9
II. 15
III. 27 Answer Choice: (A) I only (B) II only (C) I and II only (D) I and III only (E) I, II, and III
Answer: C
A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ? Answer Choice: (A) 4/9 (B) 5/4 (C) 5/8 (D) 5/9 (E) 6/9
Answer: D
What will come in place of (a) in the following expression?
a - 796.21 + 498.05 = 215.50 – 300.01 Answer Choice: (A) 431.65 (B) 488.6 (C) 388.67 (D) 431.2 (E) 488.61
Answer: A
Mangala completes a piece of work in 30 days, Raju completes the same work in 45 days. If both of them work together, then the number of days required to complete the work is Answer Choice: (A) 18 days (B) 6 days (C) 8 days (D) 10 days (E) 11 days
Answer: A
In what time will a train 120 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.5 (B) 3 (C) 4 (D) 5 (E) 6
Answer: B
4 liters of a 20 percent solution of alcohol in water are mixed with 5 liters of a 10 percent alcohol in water solution. What is the percentage of alcohol in the new solution? Answer Choice: (A) 14.4% (B) 14.8% (C) 15.2% (D) 15.6% (E) 16.0%
Answer: A
Amit and Ian paint a wall in alternating shifts. First Amit paints alone, then Ian paints alone, then Amit paints alone, etc. During each of his shifts, Amit paints 1/2 of the remaining unpainted area of the wall, while Ian paints 1/3 of the remaining unpainted area of the wall during each of his shifts. If Amit goes first, what fraction of the wall's area will remain unpainted after Amit has completed his 3th shift? Answer Choice: (A) 1/17 (B) 1/54 (C) 1/81 (D) 1/162 (E) 1/216
Answer: A
Company P had 15 percent more employees in December than it had in January. If Company P had 490 employees in December, how many employees did it have in January? Answer Choice: (A)  391 (B)  426 (C)  410 (D)  423 (E)  445
Answer: B
Today is Tuesday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come? Answer Choice: (A) Saturday (B) MONDAY (C) TUESDAY (D) WEDNESDAY (E) FRIDAY
Answer: A
Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing milk and water in the ratio 9:4 Answer Choice: (A) 2:7 (B) 5:2 (C) 3:5 (D) 5:7 (E) 6:7
Answer: A
There are 6 magazines lying on a table; 3 are fashion magazines and the other 3 are sports magzines. If 2 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected? Answer Choice: (A) 4/5 (B) 8/9 (C) 4/6 (D) 1/2 (E) 3/6
Answer: A
Two employees X and Y are paid a total of Rs. 660 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Answer Choice: (A) s.150 (B) s.200 (C) s.250 (D) s.350 (E) s.300
Answer: E
A certain sum of money at simple interest amounted Rs.850 in 10 years at 3% per annum, find the sum? Answer Choice: (A) 651.85 (B) 652.85 (C) 653.85 (D) 654.85 (E) 655.85
Answer: C
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 14km? Answer Choice: (A) 3 (B) 6 (C) 8 (D) 9 (E) 7
Answer: E
800 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ? Answer Choice: (A) 162 (B) 138 (C) 16 (D) 38 (E) 12
Answer: C
If the selling price of 50 articles is equal to the cost price of 25 articles, then the loss or gain percent is: Answer Choice: (A) 45% (B) 23% (C) 20% (D) 60% (E) 50%
Answer: E
3 women and a few men participated in a chess tournament. Each player played two matches with each of the other players. If the number of matches that men played among themselves is 78 more than those they played with the women, how many more men than women participated in the tournament? Answer Choice: (A) 20 (B) 15 (C) 11 (D) 10 (E) 19
Answer: D
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: B
In the infinite sequence 50, 60, 70, 80, 90, . . . , where each term is 10 greater than the previous term, the 100th term is Answer Choice: (A) 1330 (B) 1807 (C) 1910 (D) 1040 (E) 2060
Answer: D
If C.P. of 26 books is equal to S.P of 30 books , then your gain or loss is ? Answer Choice: (A) 23 1/3 gain % (B) 30 10/23 loss % (C) 13 1/3 loss % (D) 30 1/3 loss % (E) 40 1/3 loss %
Answer: C
Beth received 3/12 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast? Answer Choice: (A) 1/5 (B) 2/7 (C) 3/9 (D) 7/20 (E) 1/2
Answer: C
Four barrels of water have an average capacity of 8 gallons. What is the maximum possible capacity of the smallest barrel Y if the median is 10 gallons? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
A circular grass lawn of 35 metres in radius has a path 7 metres wide running around it on the outside. Find the area of path. Answer Choice: (A) 1694 m2 (B) 1700 m2 (C) 1598 m2 (D) 1500 m2 (E) None of thes
Answer: A
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year? Answer Choice: (A) 1:2 (B) 2:1 (C) 1:3 (D) 3:1 (E) 4:2
Answer: B
In how many ways can three boys can be seated on five chairs? Answer Choice: (A) 30 (B) 40 (C) 60 (D) 80 (E) 90
Answer: C
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 600 resolutions? Answer Choice: (A) 844.8 m (B) 704 m (C) 774 m (D) 714 m (E) 744 m
Answer: A
We have a 630 ml of mixture of milk and water in the ratio 7:2. How much water must be added to
make the ratio 7:3? Answer Choice: (A) 70 ml (B) 60 ml (C) 80 ml (D) 50 ml (E) None of these
Answer: A
When the integer y is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2y
II. 6y
III. 4y + 6 Answer Choice: (A)  I only (B)  II only (C)  III only (D)  I and II only (E)  I, II, and III
Answer: E
How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,V,and T so that letter P is to the left of letter R? Answer Choice: (A) 90 (B) 60 (C) 120 (D) 144 (E) 160
Answer: B
If s and t are positive integers such that s/t = 17.14, which of the following could be the remainder when s is divided by t ? Answer Choice: (A) 20 (B) 45 (C) 49 (D) 23 (E) 45
Answer: C
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 24 sec. What is the length of the platform? Answer Choice: (A) 389 m (B) 350 m (C) 187.5 m (D) 299 m (E) 219.5 m
Answer: C
How much interest will $8,000 earn in 9 months at an annual rate of 6%? Answer Choice: (A) $250 (B) $350 (C) $360 (D) $550 (E) $650
Answer: C
Today is Monday. After 61 days, it will be: Answer Choice: (A) Wednesday (B) Saturday (C) Tuesday (D) Thursday (E) Friday
Answer: B
Line k is in the rectangular coordinate system. If the c-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k? Answer Choice: (A) -3c + 2y = 6 (B) 3c + 2y = -6 (C) 3c - 2y = 6 (D) 2c - 3y = 6 (E) -2c - 3y = 6
Answer: A
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is: Answer Choice: (A) Rs. 500 (B) Rs. 515 (C) Rs. 550 (D) Rs. 600 (E) Rs. 700
Answer: A
In an election between two candidates, one got 60% of the total valid votes, 30% of the votes were invalid. If the total number of votes was 9000, the number of valid votes that the other candidate got, was: Answer Choice: (A) 2500 (B) 2520 (C) 3000 (D) 3100 (E) None of these
Answer: B
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is? Answer Choice: (A) 12 (B) 687 (C) 26 (D) 96 (E) 12
Answer: C
A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 50 paise per sq. metre Answer Choice: (A) s425 (B) s780 (C) s880 (D) s480 (E) s980
Answer: A
An article is bought for Rs.685 and sold for Rs.900, find the gain percent? Answer Choice: (A) 33 1/8% (B) 33 8/3% (C) 33 1/3% (D) 31 12/31% (E) 32 1/3%
Answer: D
1/0.04 is equal to Answer Choice: (A) 25.5 (B) 2.5 (C) 25 (D) .25 (E) None of these
Answer: C
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ? Answer Choice: (A) 226 (B) 523 (C) 775 (D) 890 (E) 270
Answer: E
All of the students of Music High School are in the band, the orchestra, or both. 70 percent of the students are in only one group. There are 111 students in the band. If 30 percent of the students are in the band only, how many students are in the orchestra only? Answer Choice: (A) 84 (B) 69 (C) 78 (D) 81 (E) 74
Answer: E
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother seven 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) 9 years
Answer: E
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now? Answer Choice: (A) 3800 (B) 4800 (C) 5100 (D) 5300 (E) 5400
Answer: E
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 800 more than D, what is B's share? Answer Choice: (A) Rs. 1600 (B) Rs. 1500 (C) Rs. 2000 (D) Rs. 2500 (E) none of the above
Answer: A
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 two of the seven weekdays can be chosen. How many different two-day combinations of the seven weekdays can be constructed? Answer Choice: (A) 9 (B) 15 (C) 21 (D) 35 (E) 56
Answer: C
How many positive integers H less than 10,000 are such that the product of their digits is 210? Answer Choice: (A) 24 (B) 30 (C) 48 (D) 54 (E) 72
Answer: D
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 45 percent of the pack would be outfielder cards? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: C
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between Answer Choice: (A) 0 and 3/20 (B) 3/9 and 1/2 (C) 1/5 and 1/4 (D) 1/4 and 3/10 (E) 3/10 and 1/2
Answer: B
A person buys an article at $600. At what price should he sell the article so as to make a profit of 8%? Answer Choice: (A) 670 (B) 689 (C) 648 (D) 740 (E) 889
Answer: C
A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed? Answer Choice: (A) 3 : 7 (B) 4 : 7 (C) 1 : 4 (D) 3 : 4 (E) 2 : 5
Answer: D
How much time does a train 150 metres long running at 90 km/hr take to pass a pole? Answer Choice: (A) 7.9s (B) 6s (C) 7.5s (D) 7.6s (E) 7.4s
Answer: B
Find the compound interest and the amount on Rs.4000 at 5% per annum for 3 years when C.I is reckoned yearly? Answer Choice: (A) s.261.50 (B) s.440.50 (C) s.630.50 (D) s.346.50 (E) s.446.50
Answer: C
Karthikeyan arranged a party to celebrate his birth day.20 of his close friends were invited. One friend left before the cake was cut due to an urgent phone call.The big cake was drawing the attention of the party visitors. This cake is to be divided among friends and of course Karthikeyan will get his share. A man eats 3 pieces, a woman eats two pieces and a child eats half a piece of cake. Including Karthikeyan count the number of men,women and children in the party. There are 20 pieces of cake in all. Answer Choice: (A) 6 women, 2 men and 12 children (B) 7 women, 1 men and 12 children (C) 5 women, 1 men and 14 children (D) 4 women, 2 men and 14 children (E) None of these
Answer: C
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: Answer Choice: (A) 1677 (B) 1683 (C) 2523 (D) 3363 (E) 4352
Answer: B
Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 60, find the ages of Toby and Debby? Answer Choice: (A) 8 and 12 (B) 5 and 9 (C) 6 and 10 (D) 5 and 10 (E) 12 and 16
Answer: A
In the youth summer village there are 100 people, 50 of them are not working,25 of them have families and 75 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower? Answer Choice: (A) 100 (B) 75 (C) 25 (D) 50 (E) 125
Answer: D
An employee’s annual salary was increased $5,000. If her new annual salary now equals $70,000, what was the percent increase? Answer Choice: (A) 15% (B) 0.77% (C) 20% (D) 22% (E) 24%
Answer: B