loafeihong/math_mmlu_format huggingface dataset:
A person, by selling an article at three-fourths of the list price incurs a loss of 20%. Find the profit percentage if he sells at the list price? Answer Choice: (A) 25 % (B) 6.66 % (C) 5.45 % (D) 30 % (E) None
Answer: B
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? Answer Choice: (A) 19 (B) 20 (C) 22 (D) 45 (E) 52
Answer: A
A high school has 400 students 1/2 attend the arithmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 3/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs. Answer Choice: (A) 35 (B) 45 (C) 55 (D) 60 (E) 50
Answer: E
The average age of a husband and his wife was 17 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is : Answer Choice: (A) 55/3 (B) 15 (C) 19 (D) 287 (E) 27
Answer: B
The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number? Answer Choice: (A) 5 (B) 7 (C) 9 (D) 11 (E) 10
Answer: C
Two cyclists are running on a circular track of 600m.They start from the same point A at the same time.If they meet for the first time at a point 200 m from A, which of the following could be the possible ratio of their speeds? Answer Choice: (A) 1:2 (B) 2:3 (C) 3:5 (D) 5:7 (E) 7:11
Answer: A
During the break of a football match, the coach will make 3 substitutions. If the team consists of 13 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted? Answer Choice: (A)  21/55 (B)  18/44 (C)  42/143 (D)  28/44 (E)  36/55
Answer: C
A professional janitor can clean a certain high school in (500-20) minutes, working at a constant rate. A student sentenced to detention can clean that same high school in 20 hours, also working at a constant rate. If the student is paid $7 total per hour and the janitor is paid $21 per hour, how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together? Answer Choice: (A) -$56 (B) -$6 (C) $0 (D) $6 (E) $8
Answer: E
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Answer Choice: (A) 7 (B) 5 (C) 8 (D) 12 (E) 15
Answer: C
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) 299 (B) 266 (C) 299 (D) 900 (E) 261
Answer: D
What is value of x if 32-y=16x-y? Answer Choice: (A) 1 (B) 3 (C) 4 (D) 2 (E) 6
Answer: D
A bag contains 15 red jellybeans and 15 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue? Answer Choice: (A) 9/100 (B) 2/19 (C) 1/8 (D) 3/20 (E) 3/10
Answer: E
If a coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 6 times, what is the probability that it will land heads up on all 6 flips? Answer Choice: (A) 1/6 (B) 1/8 (C) 1/32 (D) 1/2 (E) 1/64
Answer: E
4 dice are thrown simultaneously on the board. Find the probability show the same face. Answer Choice: (A) 1/113 (B) 1/115 (C) 1/216 (D) 2/113 (E) 3/111
Answer: C
Steve traveled the first 2 hours of his journey at 30 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey? Answer Choice: (A) 68 mph (B) 56.67 mph (C) 60 mph (D) 64 mph (E) 66.67 mph
Answer: C
A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 400,000? Answer Choice: (A) 200 (B) 216 (C) 300 (D) 400 (E) 2,500
Answer: C
Last year the range of the annual fees of the 50 courses in a college was $300. If the annual fees of each of the 50 courses this year is 10 percent greater than it was last year, what is the range of the annual fees of the 50 courses this year? Answer Choice: (A)  $270 (B)  $300 (C)  $330 (D)  $360 (E)  $630
Answer: C
If a and b are different positive integers and a + b = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a = b = 0 Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) I and III
Answer: A
2^5*3^3*2^4*3 = Answer Choice: (A) 3^5*2^5 (B) 2^9*3^4 (C) 2^4*3^9 (D) 5^8 (E) 6^10
Answer: B
The distance between two towns is 380 km. At the same moment, a passenger car and a truck start moving towards each other from different towns. They meet 4 hours later. If the car drives 5 km/hr faster than the truck, what is the truck's speed? Answer Choice: (A) 35km/hr (B) 40km/hr (C) 76km/hr (D) 60km/hr (E) 50km/hr
Answer: E
The cost price of 20 articles is the same as the selling price of
x articles. If the profit is ,25%, find the value of x Answer Choice: (A) 16 (B) 17 (C) 19 (D) 20 (E) 25
Answer: A
A jogger running at 9 kmph along side a railway track is 260 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger? Answer Choice: (A) 3.6 sec (B) 38 sec (C) 36 sec (D) 72 sec (E) None of these
Answer: B
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is: Answer Choice: (A) 2/109 (B) 7/109 (C) 8/223 (D) 14/263 (E) 13/102
Answer: E
A person lent out some money for 1 year at 6% per annum simple interest and after 18 months, he again lent out the same money at a simple interest of 24% per annum. In both the cases, he got Rs.4704. Which of these could be the amount that was lent out in each case if interest is paid half-yearly? Answer Choice: (A) 2200 (B) 3000 (C) 3200 (D) 4200 (E) 5000
Answer: D
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area? Answer Choice: (A) 120 (B) 278 (C) 292 (D) 234 (E) 287
Answer: A
In a partnership between A, B and C. A's capital is Rs.10000. If his share of a profit of Rs.1200 is Rs.400 and C's share is Rs.330, what is B's capital? Answer Choice: (A) Rs.20750 (B) Rs.22750 (C) Rs.21750 (D) Rs.21200 (E) Rs.21320
Answer: C
A and B together have USD. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have? Answer Choice: (A) USD 460 (B) USD 484 (C) USD 550 (D) USD 664 (E) None of above
Answer: B
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is? Answer Choice: (A) 26.4 m2 (B) 39.6 m2 (C) 52.8 m2 (D) 79.2 m2 (E) 80.2 m2
Answer: C
Which of the following options is an appropriate approximate value in the following equation’? 5 2/3 of 234.92+39% of 1205= ? - 625.7 Answer Choice: (A) 2326.85 (B) 2426.85 (C) 2526.85 (D) 2436.85 (E) 2427.85
Answer: B
What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 1? Answer Choice: (A) 0.5 (B) 1 (C) π/2 (D) 2 (E) π
Answer: D
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed? Answer Choice: (A) 4 min (B) 2 min (C) 8 min (D) 9 min (E) 5 min
Answer: A
Tom runs everyday for exercise and running burns 500 calories/mile. If Tom wants to lose 10 pounds, how many miles for how many days does Tom have to run in total. (Assume it takes 3000 calories to lose 1 pound of weight) Answer Choice: (A) 3 miles for 10 days (B) 1 mile for 20 days (C) 10 miles for 6 days (D) 5 miles for 2 days (E) 15 miles for 10 days
Answer: C
The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is Answer Choice: (A) 22 (B) 27 (C) 35 (D) 87 (E) 98
Answer: C
The number of words from the letters of the words BHARAT in which B and H will never come together, is Answer Choice: (A) 360 (B) 240 (C) 120 (D) None of these (E) Cannot be determined
Answer: B
Dravid is 9 years older than his daughter Rosy. In 3 years Dravid will be twice as old as Rosy. What is Rosy current age. Answer Choice: (A) 6 (B) 8 (C) 10 (D) 7 (E) 11
Answer: A
Letters of alphabets no from 1 to 26 are consecutively with 1 assigned to A and 26 to Z. By 27th letter we mean A, 28th B. In general 26m+n, m and n negative intezers is same as the letters numbered n.
Let P = 6, strange country military general sends this secret message according ot the following codification scheme. In codifying a sentence, the 1st time a letter occurs it is replaced by the pth letter from it. 2nd time if occurred it is replaced by P^2 letter from it. 3rd time it occurred it is replaced by p^3 letter from it. What is the code word for ABBATIAL Answer Choice: (A) DFHASDO (B) HDFAHLOU (C) LDOIHYAD (D) GHLKZOIR (E) LODIHFAD
Answer: D
Roses can be purchased individually for $6.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680? Answer Choice: (A)  156 (B)  162 (C)  316 (D)  324 (E)  325
Answer: C
The class mean score on a test was 40, and the standard deviation was 15. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received? Answer Choice: (A) 20 (B) 31 (C) 45 (D) 90 (E) 89
Answer: A
John purchased some shirts and trousers for $1300. He paid $500 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 9
Answer: E
P and Q started a business investing Rs. 45,000 and Rs. 10,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively? Answer Choice: (A) 9:2 (B) 4:5 (C) 9:3 (D) 17:9 (E) 17:4
Answer: A
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age? Answer Choice: (A) 7 (B) 9 (C) 8 (D) 4 (E) 5
Answer: C
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.723 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum. Answer Choice: (A) 22200 (B) 21897 (C) 28799 (D) 30000 (E) 32782
Answer: D
The negative and positive charge symbols are assigned (in that order) to the: Answer Choice: (A) 22 (B) 77 (C) 77 (D) 88 (E) 21
Answer: B
Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit? Answer Choice: (A) 8840 (B) 2776 (C) 2998 (D) 2662 (E) 8820
Answer: E
P is three times as fast as Q and working together, they can complete a work in 42 days. In how many days can Q alone complete the work? Answer Choice: (A) 16 (B) 77 (C) 56 (D) 55 (E) 778
Answer: C
Tom is 7 years older than Sam, and Jack is thrice as old as Tom. If S is Sam’s age and J is Jack’s age, what is the relationship between S and J? Answer Choice: (A) J = 3S + 10 (B) J = 3S + 21 (C) J = 3S + 5 (D) J = 3S − 11 (E) J = 3S − 4
Answer: B
If the least common addition of two prime numbers x and y is 36, where x < y, then the value of 4x + y is Answer Choice: (A) 32 (B) 45 (C) 59 (D) 73 (E) 87
Answer: E
If 15 men, working 9 hours a day, can reap a field in 16 days, in how many
days will 18 men reap the field, working 8 hours a day? Answer Choice: (A) 12 (B) 16 (C) 8 (D) 15 (E) 10
Answer: D
The measures of the 2 acute angles of a triangle are in the ratio of 2:7. What are the measures of the 2 angles? Answer Choice: (A) 60° (B) 70° (C) 80° (D) 90° (E) 100°
Answer: B
Two trains 141 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Answer Choice: (A) 7.18 (B) 7.12 (C) 7.43 (D) 7.59 (E) 7.71
Answer: D
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800. Deepak's share is? Answer Choice: (A) Rs. 9600 (B) Rs. 8500 (C) Rs. 8450 (D) Rs. 8400 (E) Rs. 9400
Answer: D
If there is exactly one root of the equation x^2 + ax + 2b, where a and b are positive constants, what is b in terms of a? Answer Choice: (A) a/2 (B) a (C) 3a/2 (D) a^2/2 (E) a^2/8
Answer: E
If x > 0.5, which of the following could be the value of x? Answer Choice: (A) √0.007 (B) √0.006 (C) √0.008 (D) √0.5 (E) √0.009
Answer: D
A man sells a horse for Rs.860 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 287 (B) 879 (C) 967 (D) 900 (E) 998
Answer: D
(23341379 x 72) = ? Answer Choice: (A) 1680579288 (B) 1223441288 (C) 2142579288 (D) 2142339288 (E) None of these
Answer: A
Average marks of a,b,c is 48. When d joins average becomes 47. E has 3 more marks than d. Average marks of b,c,d,e is 48. What is the marks of a? Answer Choice: (A) 43 (B) 44 (C) 45 (D) 46 (E) 47
Answer: A
In a 2000 census, 51.27% of the population are male, and 48.73% are female. What is the ratio of men to every 100 women? Answer Choice: (A) 110:100 (B) 105:100 (C) 95:100 (D) 85:100 (E) 120:100
Answer: B
During the first two weeks of January, the total rainfall in Springdale was 35 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January? Answer Choice: (A) 5 inches (B) 6 inches (C) 9 inches (D) 10 inches (E) 21 inches
Answer: E
In Country X a returning tourist may import goods with a total value of $500 or less tax free, but must pay an 8 percent tax on the portion of the total value in excess of $500. What tax must be paid by a returning tourist who imports goods with a total value of $730 ? Answer Choice: (A) $58.40 (B) $40 .00 (C) $24.60 (D) $18.40 (E) $16.00
Answer: D
The length of the bridge, which a train 145 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 76 m (B) 178 m (C) 230 m (D) 187 m (E) 176 m
Answer: C
The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 90 black cars in the lot, how many red cars are there in the lot? Answer Choice: (A) 11 (B) 33 (C) 24 (D) 27 (E) 32
Answer: B
If P (A) = 0.18, P (B) = 0.5 and P (B|A) = 0.2, find P(A n B)? Answer Choice: (A) 0.28 (B) 0.36 (C) 0.45 (D) 0.56 (E) 0.7
Answer: B
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is: Answer Choice: (A) 250 (B) 276 (C) 280 (D) 285 (E) None of these
Answer: D
P, Q and R have Rs.8000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R? Answer Choice: (A) Rs.3200 (B) Rs.3600 (C) Rs.2400 (D) Rs.4000 (E) None of these
Answer: A
Which of the following numbers is prime? Answer Choice: (A) 2^16+1 (B) 2^31+3^31 (C) 4^66+7^66 (D) 5^82−2^82 (E) 5^2881+7^2881
Answer: A
In how many different ways can the letters of the word BOOKLET be arranged such that B and T always come together? Answer Choice: (A) 360 (B) 720 (C) 480 (D) 5040 (E) None of these
Answer: B
In an examination, 34% of total students failed in Hindi, 44% failed in English and 22% in both. The percentage of these who passed in both the subjects is : Answer Choice: (A) 23 (B) 37 (C) 28 (D) 44 (E) 81
Answer: D
The radius of a cylinder is 10 m, height 12 m. The volume of the cylinder is: Answer Choice: (A) 2200 (B) 5500 (C) 3300 (D) 3771.4 (E) 4400
Answer: D
A boat has a speed of 14kmph in standing water. The stream has a speed of 1.2kmph. What time does the boat take to go to a distance of 4864 km and come back? (hours) Answer Choice: (A) 700 (B) 378 (C) 2696 (D) 1207 (E) 1712
Answer: A
If n is a prime number greater than 7, 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
700 + 6 × 4 = ? Answer Choice: (A) 820 (B) 202 (C) 420 (D) 724 (E) None of these
Answer: D
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present? Answer Choice: (A) 32 years (B) 36 years (C) 40 years (D) 48 years (E) 58 years
Answer: C
5 letters have to be put in 5 different envelopes numbered 1 through 5 such that each of the letters go into only 1 envelope.The letter is said to be put in correct position if for example letter 1 goes into envelope 1.Now what is the probability that all letters be put into wrong envelopes? Answer Choice: (A) 1/3 (B) 2/3 (C) 11/120 (D) 11/30 (E) 76/120
Answer: D
A and B walk around a circular track. They start at 9 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 11:00 a.m.? Answer Choice: (A) 8 (B) 7 (C) 6 (D) 15 (E) 3
Answer: D
In track last week, the boys ran 20 laps. The girls ran 10 more
laps. Each lap is a 1/10th of a mile. How many miles did the girls run? Answer Choice: (A) 1 mile (B) 3 miles (C) 5 miles (D) 7 miles (E) 9 miles
Answer: B
Which of the following is a prime number Answer Choice: (A) 9 (B) 2 (C) 4 (D) 8 (E) 7
Answer: B
In covering a distance of 30 km, Amla takes 2 hours more than Peter. If Amla doubles his speed, then he would take 1 hour less than Peter. Amla’s speed is : Answer Choice: (A) 7 kmph (B) 6.5 kmph (C) 5.5 kmph (D) 5 kmph (E) None
Answer: D
If n=4p where p is a prime number greater than 2, how many different positive even divisors does n have, including n? Answer Choice: (A) two (B) three (C) four (D) six (E) eight
Answer: C
S, T and U are inner angles in a triangle. If S= T+ U, what can't be the size of T? Answer Choice: (A) 960 DEGREES (B) 9770 DEGREES (C) 9570 DEGREES (D) 940 DEGREES (E) 90 DEGREES
Answer: E
When n is divided by 11, the remainder is 6. When n is divided by 19, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers? Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: A
A beggar on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays,the beggar finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found? Answer Choice: (A) 4 (B) 14 (C) 34 (D) 27 (E) 46
Answer: B
If pqr = 0 , rst = 1 , and spr = 0, which of the following must be zero? Answer Choice: (A) P (B) Q (C) R (D) S (E) T
Answer: A
In the rectangular coordinate system, if the line x = 8y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p? Answer Choice: (A) 1/2 (B) 1/3 (C) 1/4 (D) 1/5 (E) 1/6
Answer: C
A whale goes on a feeding frenzy that lasts for 9 hours. For the first hour he catches and eats x kilos of plankton. In every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 540 kilos of plankton, how many kilos did he consume on the sixth hour? Answer Choice: (A) 38 (B) 47 (C) 50 (D) 53 (E) 63
Answer: E
A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is : Answer Choice: (A) 8% (B) 11% (C) 21% (D) 10% (E) none of the above
Answer: D
In a bag there are 10 black balls and 25 blue balls and 15 white balls. A ball is drawn at random. What is the probability of getting a white ball? Answer Choice: (A) 2/5 (B) 3/10 (C) 4/10 (D) 5/10 (E) 3/5
Answer: B
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 6 : 3? Answer Choice: (A) 16 (B) 45 (C) 277 (D) 92 (E) 11
Answer: B
An article is bought for Rs.675 and sold for Rs.900, find the gain percent? Answer Choice: (A) 30 1/3% (B) 33 1/3% (C) 23 1/3% (D) 35 1/3% (E) 29 1/3%
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 18 seconds. Find the length of the train? Answer Choice: (A) 150 meter (B) 170 meter (C) 156 meter (D) 300 meter (E) 154 meter
Answer: D
Walking at 40% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? Answer Choice: (A) 16 (B) 36 (C) 42 (D) 48 (E) 54
Answer: A
If x^4 + y^4 = 85, then the greatest possible value of x is between: Answer Choice: (A) 0 to 2 (B) 2 to 4 (C) 4 to 6 (D) 6 to 8 (E) 8 to 10
Answer: B
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction? Answer Choice: (A) 33 1/7% (B) 33 6/3% (C) 33 1/3% (D) 39 1/3% (E) 33 1/4%
Answer: C
Two water pumps, working simultaneously at their respective constant rates, took exactly 9 hours to fill a swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate? Answer Choice: (A) 12 (B) 14 (C) 15 (D) 16 (E) 18
Answer: C
A sum of Rs. 125000 amounts to Rs. 14500 in 4 years at the rate of simple interest. What is the rate of interest? Answer Choice: (A) 3% (B) 4% (C) 5% (D) 6% (E) 7%
Answer: B
The largest 4 digit number exactly divisible by 77 is? Answer Choice: (A) 9935 (B) 9933 (C) 9944 (D) 9954 (E) 9960
Answer: B
Q=√[2√63 + 2/(8+3√7)] = Answer Choice: (A) 8 + 3√7 (B) 4 + 3√7 (C) 8 (D) 4 (E) √7
Answer: D
A library has an average of 140 visitors on Sundays and 80 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is : Answer Choice: (A) 90 (B) 100 (C) 105 (D) 110 (E) 125
Answer: A
If 4a = 16b and 5b = 13c, Find a:b:c? Answer Choice: (A) 52:13:5 (B) 13:7:52 (C) 7:13:52 (D) 7:13:54 (E) None of these
Answer: A
50 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 4 like all. How many people like apple? Answer Choice: (A) 47 (B) 46 (C) 54 (D) 57 (E) 62
Answer: D
There are some pigeons and hares in a zoo. If heads are counted, there are 130. If legs are counted, there are 580. The number of hares in the zoo is? Answer Choice: (A) 120 (B) 182 (C) 190 (D) 137 (E) 160
Answer: E
If the sales tax be reduced from 4 (1/2) % to 3 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 10500? Answer Choice: (A) Rs. 105 (B) Rs. 150 (C) Rs. 146 (D) Rs. 135 (E) None of these
Answer: A
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result? Answer Choice: (A) 26 (B) 56 (C) 22 (D) 29 (E) 21
Answer: B
A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 5/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails? Answer Choice: (A) 9/80 (B) 3/10 (C) 303/800 (D) 69/160 (E) 497/800
Answer: D
30 pens and 75 pencils were purchased for 630. If the average price of a pencil was 2.00, find the average price of a pen. Answer Choice: (A) 10 (B) 11 (C) 12 (D) 13 (E) 16
Answer: E
Which one of the following numbers is divisible by 11? Answer Choice: (A) 4823718 (B) 8423718 (C) 8432718 (D) 4832718 (E) 4852718
Answer: D
In an electric circuit, three resistors with resistances r1, r2 and r3 are connected in parallel. In this case, if R is the combined resistance of these three resistors, then the reciprocal of R is equal to the sum of the reciprocals of r1, r2 and r3. What is R in terms of r1, r2 and r3? Answer Choice: (A) (r1 + r2 + r3) (B) r1r2r3 (C) 1/(x + y) (D) r1r2r3/(r1 + r2 + r3) (E) (r1 + r2 + r3)/r1r2r3
Answer: D
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot at the rate of 26.50 per metre is 5,300, what is the length of the plot (in metres)? Answer Choice: (A) 40 (B) 120 (C) 50 (D) Data inadequate (E) None of these
Answer: E