loafeihong/math_mmlu_format huggingface dataset:
In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 36° of the chart, how much of the Roberts’s $40,000 annual budget is dedicated to clothes and shoes? Answer Choice: (A) $1,500 (B) $3,000 (C) $4,500 (D) $4,000 (E) $5,400
Answer: D
Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajay’s income? Answer Choice: (A) Rs.60000 (B) Rs.80500 (C) Rs.60700 (D) Rs.70500 (E) None of these
Answer: A
A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . How many feet does the squirrel travels if the post is 18 feet tall and 3 feet in circumference? Answer Choice: (A) 10 feet (B) 12 feet (C) 13 feet (D) 15 feet (E) 18 feet
Answer: E
During the last four years, a large truck company purchased diesel at rates of $1.2, $1.4, $1.7 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year? Answer Choice: (A) $2.5 (B) $2.55 (C) $1.53 (D) $3.25 (E) $3.0
Answer: C
Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6 Answer Choice: (A) 5/7 (B) 3/4 (C) 7/18 (D) 5/17 (E) 7/9
Answer: C
A can do a work in 4 days. B can do the same work in 6days. Both A&B together will finish the work and they got $1000 from that work. Find their shares? Answer Choice: (A) 600,400 (B) 500,500 (C) 300,700 (D) 800,200 (E) 550,450
Answer: A
Find the odd man out. 742, 743, 633, 853, 871, 990, 532 Answer Choice: (A) 532 (B) 742 (C) 990 (D) 633 (E) 871
Answer: B
A man sells a horse for Rs.800 and loss something, if he had sold it for Rs.820, his gain would have been trible the former loss. Find the cost price of the horse? Answer Choice: (A) 605 (B) 905 (C) 815 (D) 805 (E) 705
Answer: D
The average weight of 30 boys sitting in a bus had some value. A new person added to them whose weight was 40 kg only. Due to his arrival, the average weight of all the boys decreased by 2 kg. Find the average weight of first 30 boys? Answer Choice: (A) 150 (B) 122 (C) 30 (D) 120 (E) 102
Answer: E
Dacid obtained 96, 98, 99, 100 and 98 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? Answer Choice: (A) 79 (B) 99 (C) 88 (D) 88 (E) 98
Answer: E
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 64 hours respectively. The ratio of their speeds is Answer Choice: (A) 2 : 3 (B) 5 : 9 (C) 6 : 7 (D) 8 : 11 (E) None
Answer: E
The speed of a car is 90 km in the first hour and 80 km in the second hour. What is the average speed of the car? Answer Choice: (A) 12 (B) 75 (C) 85 (D) 54 (E) 15
Answer: C
How many pieces of 85 cm length can be cut from a rod of 34 meters long? Answer Choice: (A) 50 (B) 40 (C) 30 (D) 20 (E) 10
Answer: B
Reema took a loan of Rs 800 with simple interest for as many years as the rate of interest. If she paid Rs. 632 as interest at the end of the loan period, what was the rate of interest. Answer Choice: (A) 8.62% (B) 8.88% (C) 8.32% (D) 8% (E) 9%
Answer: B
In the youth summer village there are 175 people, 100 of them are not working,75 of them have families and 125 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) 70 (B) 75 (C) 85 (D) 80 (E) 100
Answer: B
By selling 18 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 35%? Answer Choice: (A) 11 (B) 13 (C) 15 (D) 18 (E) 12
Answer: E
If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain? Answer Choice: (A) 25% (B) 28% (C) 29% (D) 50% (E) 55%
Answer: D
A gardener sells 100 metres of fencing for Rs. 7500 at a loss of Rs. 3 per metre. Find his cost price for one metre of fencing? Answer Choice: (A) 54 (B) 67 (C) 62 (D) 78 (E) 72
Answer: D
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. What is the length of the garden? Answer Choice: (A) 30 m (B) 28 m (C) 26 m (D) 24 m (E) 22 m
Answer: D
Find the area of a parallelogram with base 24 cm and height 16 cm? Answer Choice: (A) 281 (B) 284 (C) 288 (D) 255 (E) 122
Answer: B
If 45% of z is 39% of y and y is 75% of x, what percent of x is z? Answer Choice: (A) 200 (B) 160 (C) 100 (D) 65 (E) 50
Answer: D
A fort had provision of food for 150 men for 45 days. After 15 days, 25 men left the fort. The number of days for which the remaining food will last, is: Answer Choice: (A) 29	1/5 (B) 37	1/4 (C) 42 (D) 54 (E) 36
Answer: E
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current? Answer Choice: (A) 1.9 (B) 1.5 (C) 1.7 (D) 1.4 (E) 1.1
Answer: B
A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics? Answer Choice: (A) 54 (B) 76 (C) 87 (D) 80 (E) 82
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, $0.023 per millisecond of computer time, and $5.35 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)  $28.96 (D)  $35.57 (E)  $40.92
Answer: E
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Answer Choice: (A) 28 sec (B) 19 sec (C) 48 sec (D) 18 sec (E) 38 sec
Answer: C
36 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 10
Answer: E
In a stack of cards, 8 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 1/2. What is the number of cards in the stack? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 15 (E) 18
Answer: B
Machine P and Machine Q are each used to manufacture 770 sprockets. It takes Machine P 10 hours longer to produce 770 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce? Answer Choice: (A) 3 (B) 5 (C) 7 (D) 9 (E) 11
Answer: C
In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 90%, what was the average score for the entire class? Answer Choice: (A) 65% (B) 67% (C) 69% (D) 72% (E) 75%
Answer: C
A mixture contains alcohol and water in the ratio 4 : 3. If 5 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) 12 (C) 15 (D) 18 (E) 20
Answer: A
A man spends 10% of his income on food and 80% of the remaining income on clothing. If he still has a balance of Rs. 180. what is his total income? Answer Choice: (A) 1100 (B) 1000 (C) 804 (D) 934 (E) 230
Answer: B
An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible? Answer Choice: (A) 12 (B) 19 (C) 60 (D) 180 (E) 720
Answer: C
If x is an even integer, which of the following is an odd integer? Answer Choice: (A) 3x + 2 (B) 7x (C) 8x +5 (D) x^2 (E) x^3
Answer: C
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 24 times, A has killed: Answer Choice: (A) 27 birds (B) 72 birds (C) 30 birds (D) 80 birds (E) 20 birds
Answer: A
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is: Answer Choice: (A) 10 (B) 15 (C) 18 (D) 36 (E) 72
Answer: D
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
-- Answer Choice: (A) 12 (B) 19 (C) 72 (D) 180 (E) 720
Answer: C
A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is Answer Choice: (A) 4 hours 95 minutes (B) 4 hours 49 minutes (C) 4 hours 45 minutes (D) 4 hours 75 minutes (E) 7 hours 45 minutes
Answer: C
In the formula V = 1/(5r)^2, if r is halved, then V is multiplied by Answer Choice: (A) 64 (B) 8 (C) 1 (D) 1/8 (E) 4
Answer: E
The mean of set Y does not exceed mean of any subset of set Y. Which of the following must be true about set Y?
I. Set Y contains only one element
II. All elements in set Y are equal
III. The median of set Y equals the mean of set Y Answer Choice: (A) of the three qualities is necessary (B) II only (C) III only (D) II and III only (E) I, II, and III
Answer: D
2, 1, (1/2), (1/4), ? Answer Choice: (A) 1/3 (B) 1/9 (C) 1/5 (D) 1/8 (E) 1/4
Answer: D
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir? Answer Choice: (A) 22 (B) 29 (C) 20 (D) 11 (E) 13
Answer: C
The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be :- Answer Choice: (A) 101 : 88 (B) 87 : 100 (C) 110 : 111 (D) 85 : 98 (E) 97 : 84
Answer: E
Each child has 2 pencils and 13 Skittles. If there are 6 children, how many pencils are there in total? Answer Choice: (A) 16 (B) 12 (C) 18 (D) 22 (E) 08
Answer: B
An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum No. of marks obtained by him is? Answer Choice: (A) 300 (B) 400 (C) 500 (D) 600 (E) 700
Answer: B
Marts income is 60 percent more than Tims income and Tims income is 60 percent less than Juans income. What percentage of Juans income is Marts income Answer Choice: (A) 124% (B) b) 64 % (C) c) 96 % (D) d) 80 % (E) e) 64 %
Answer: B
What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 7 (E) 9
Answer: C
If A is an even integer and q is an odd integer, which of the following must be an odd integer? Answer Choice: (A) A/q (B) Aq (C) 2A+q (D) 2(A+q) (E) 3A/q
Answer: C
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize? Answer Choice: (A) 16 (B) 18 (C) 20 (D) 24 (E) 29
Answer: D
The time it took car P to travel 900 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour? Answer Choice: (A) 40 (B) 54 (C) 62 (D) 70 (E) 80
Answer: C
If a truck is traveling at a constant rate of 216 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters) Answer Choice: (A) 10 (B) 24 (C) 30 (D) 36 (E) 48
Answer: A
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is Answer Choice: (A) 22030 (B) 220030 (C) 23030 (D) 24030 (E) 25030
Answer: B
In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-two students are registered for Math, and thirty-five students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes? Answer Choice: (A) 13 (B) 10 (C) 9 (D) 8 (E) 7
Answer: D
Sum of the squares of three numbers is 579 and the sum of their products taken two at a time is 131. Find the sum? Answer Choice: (A) 20 (B) 22 (C) 25 (D) 29 (E) 28
Answer: D
If the sides of a triangle are 52 cm, 48 cm and 20 cm, what is its area? Answer Choice: (A) 480 cm2 (B) 765 cm2 (C) 216 cm2 (D) 197 cm2 (E) 275 cm2
Answer: A
If a and b are integer numbers which is greater then one, which of the following CANNOT be the value of ab? Answer Choice: (A) 9 (B) 14 (C) 21 (D) 23 (E) 25
Answer: D
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream. Answer Choice: (A) 2 hours (B) 3 hours (C) 4 hours (D) 5 hours (E) 6 hours
Answer: C
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 40 per kg. His profit percent is: Answer Choice: (A) No profit, no loss (B) 5% (C) 8% (D) 40% (E) None of these
Answer: D
Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has four times as many candies as Tina has. Rebecca has now how many candies? Answer Choice: (A) 36 (B) 64 (C) 54 (D) 55 (E) 60
Answer: B
An engine moves at the speed of 90 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 78 kmph.What will be the speed of train when 16 coaches are attached. Answer Choice: (A) 66 (B) 72 (C) 80 (D) 68 (E) 73
Answer: A
For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *8 + 3 and *8 + 8, inclusive? Answer Choice: (A)  None (B)  One (C)  Two (D)  Three (E)  Four
Answer: A
A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss? Answer Choice: (A) Rs. 19 (B) Rs. 15 (C) Rs. 11 (D) Rs. 13 (E) Rs. 01
Answer: B
3 boys and 7 girls can complete a work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work? Answer Choice: (A) 20 days (B) 30 days (C) 40 days (D) 50 days (E) 60 days
Answer: C
if C is a whole number , C+1 is whole number after that. if A is whole number, what is whole number before that Answer Choice: (A) 1 whole number (B) -1, not a whole number (C) 0 whole number (D) -A whole number (E) none
Answer: B
How many three digit numbers Z greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once? Answer Choice: (A) 72 (B) 48 (C) 120 (D) 96 (E) 76
Answer: A
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it? Answer Choice: (A) 10 days (B) 20 days (C) 5 days (D) 4 days (E) 3 days
Answer: B
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age seven years back was? Answer Choice: (A) 10 years (B) 12 years (C) 14 years (D) 16 years (E) 18 years
Answer: B
A batsman makes a score of 200 runs in the 17th inning and thus increases his averages by 10 What is his average after 17th inning? Answer Choice: (A) 39 (B) 35 (C) 42 (D) 40 (E) 41.5
Answer: D
Of 30 applicants for a job, 9 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree? Answer Choice: (A) 14 (B) 10 (C) 9 (D) 7 (E) 5
Answer: B
The average of 45 results is 13. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result? Answer Choice: (A) 600 (B) 480 (C) 750 (D) 650 (E) 695
Answer: E
A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is? Answer Choice: (A) 3600 (B) 2992 (C) 2209 (D) 2889 (E) 7881
Answer: A
The simple form of the ratio 2/3:2/5 is? Answer Choice: (A) 5:0 (B) 5:3 (C) 5:1 (D) 5:2 (E) 5:7
Answer: D
In a lottery draw there are 4 jars containing 5 choices with only one choice as the lucky draw. A candidate wins the lottery draw if he/she picks up all the lucky draws from all the jars. What is the total number of ways in which a candidate will not win the lucky draw? Answer Choice: (A) 19 (B) 85 (C) 120 (D) 624 (E) 1024
Answer: D
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally? Answer Choice: (A) 11 (B) 16 (C) 12 (D) 18 (E) 19
Answer: C
A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 20% profit on the cost of the item? Answer Choice: (A) 18 (B) 21.6 (C) 22 (D) 22.5 (E) 27
Answer: D
P sells an article to Q at 10 % profit. Q sells it to R at 25 % profit. If R pays Rs. 250 for it, What did P pay for it ? Answer Choice: (A) Rs. 225 (B) Rs. 198.50 (C) Rs. 181.81 (D) Rs. 162.30 (E) None of these
Answer: C
If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true?
I. b-a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an integer. Answer Choice: (A)  I only (B)  II only (C)  I and II only (D)  II and III only (E)  I, II, and III
Answer: D
There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 58% Answer Choice: (A) 18.75 (B) 19.75 (C) 26.89 (D) 21.75 (E) 22.75
Answer: C
On the number line, if x is halfway between -6 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y? Answer Choice: (A) -2.5 (B) -1.5 (C) -0.5 (D) 0.5 (E) 1.5
Answer: D
Today is wednesday. 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) SUNDAY (B) MONDAY (C) TUESDAY (D) WEDNESDAY (E) FRIDAY
Answer: A
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election? Answer Choice: (A) 45% (B) 67% (C) 57% (D) 69% (E) 70%
Answer: C
If n is a prime number greater than 5, what is the remainder when n^2 is divided by 12? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 5
Answer: B
1, 2, 9, 64, ? Answer Choice: (A) 388 (B) 625 (C) 278 (D) 277 (E) 191
Answer: B
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team? Answer Choice: (A) 23 years (B) 24 years (C) 25 years (D) None of these (E) Cannot be determined
Answer: A
Choose a number between 1 and 10. Add 4 and double the result. Subtract 3, then, multiply by 3. Subtract 5 times one more than the original number. Tell me the answer and I will tell you your original number. Answer Choice: (A) 10x (B) x+10 (C) x-10 (D) x/10 (E) 10-x
Answer: B
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 5 years old. At what age did the father get married ? Answer Choice: (A) 23years (B) 24years (C) 25years (D) 26years (E) 27years
Answer: A
Addison High School’s senior class has 160 boys and 200 girls. If 75% of the boys attended the college and 40% of the girls did not attend the college, what percentage of the total class attended college? Answer Choice: (A) 35 (B) 64 (C) 66.67 (D) 60 (E) 84
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.30000? Answer Choice: (A) 9930 (B) 1879 (C) 2779 (D) 2672 (E) 2782
Answer: A
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually? Answer Choice: (A) 2778 (B) 2997 (C) 2677 (D) 2197 (E) 9680
Answer: E
If 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers? Answer Choice: (A) 1 minutes (B) 12 minute (C) 120 minutes (D) 10000 minutes (E) 1000 minutes
Answer: B
Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 12, 13, 15, 12, 14, 24
II. 42, 52, 62, 72, 82, 92
III. 37, 38, 39, 40, 41, 42 Answer Choice: (A) I, II, III (B) I, III, II (C) II, I, III (D) III, I,II (E) III, II, I
Answer: D
18 men can complete a piece of work in 30 days. In how many days can 15 men complete that piece of work? Answer Choice: (A) 23 days (B) 36 days (C) 22 days (D) 29 days (E) 20 days
Answer: B
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg? Answer Choice: (A) 2.8 (B) 2.3 (C) 2.5 (D) 2.1 (E) 2.9
Answer: C
Find the probability that a year chosen at random has 53 Mondays. Answer Choice: (A) 5/28 (B) 3/28 (C) 1/28 (D) 3/28 (E) 3/27
Answer: A
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area? Answer Choice: (A) 120 (B) 130 (C) 140 (D) 149 (E) 133
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 committees
Answer: E
In b is a positive integer smaller than 200 and (14b)/60 is an integer, then b has how many different positive prime factors? Answer Choice: (A) 2 (B) 3 (C) 5 (D) 6 (E) 8
Answer: B
What is the sum of three consecutive numbers if the product of the numbers can be expressed as 3079+3080+3081? Answer Choice: (A) 62 (B) 63 (C) 61 (D) 65 (E) 67
Answer: B
A and B are two fixed points 5 cm apart and C is a point on AB such that AC is 3cm. if the length of AC is increased by 6%, the length of CB is decreased by Answer Choice: (A) 6% (B) 7% (C) 8% (D) 9% (E) None
Answer: D
If y = 2 + 2K and y≠0y≠0, then 2/y + 2/y + 1/y + 1/y = ? Answer Choice: (A) 1/(8+8k) (B) 3/(1+k) (C) 1/(8+k) (D) 4/(8+k) (E) 4/(1+k)
Answer: B
A bowl has only 3 apples and 3 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples? Answer Choice: (A) 1/10 (B) 1/5 (C) 2/9 (D) 2/5 (E) 1/2
Answer: B
The cross section of a canal is trapezium in shape. The canal is 12m wide at the top and 8m wide at the bottom. If the area of the cross section is 840 sq.m, the depth of the canal is: Answer Choice: (A) 42m (B) 84m (C) 63m (D) 8.75m (E) 9.75m
Answer: B