loafeihong/math_mmlu_format huggingface dataset:
Paul sells encyclopedias door-to-door. He earns $140 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000.
His largest paycheck of the year was $1,320. What were his sales for that pay period? Answer Choice: (A) 13,600 (B) 14,800 (C) 16,400 (D) 15,800 (E) 19,600
Answer: A
150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice? Answer Choice: (A) 968 (B) 960 (C) 911 (D) 989 (E) 922
Answer: B
How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed? Answer Choice: (A) 40 (B) 400 (C) 5040 (D) 2520 (E) None
Answer: C
In 15 year’s time the combined age of my four brothers will be 107. What will it be in six year’s time? Answer Choice: (A) 56 (B) 64 (C) 71 (D) 46 (E) 77
Answer: C
Naomi made a scarf for her brother using the yarn that cost $2.50 per skein. He offered to pay
Naomi for the yarn she used. If she used 1.5 skeins of yarn to make the scarf, what was the total
cost of the yarn? Answer Choice: (A) $2.25 (B) $3.25 (C) $4.25 (D) $5.25 (E) $6.25
Answer: C
Carol is Four times Alice’s age but only twice as old as Betty. Alice is eighteen years younger than Carol. How old is Betty? Answer Choice: (A) 6 (B) 9 (C) 12 (D) 18 (E) 24
Answer: B
George baked a total of 100 pizzas for 7 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: A
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.0 sec (B) 2.7 sec (C) 3.5 sec (D) 5.0 sec (E) 9.5 sec
Answer: D
A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 300km less in time. Find his speed? Answer Choice: (A) 20km/hr (B) 30km/hr (C) 60km/hr (D) 50km/hr (E) 60km/hr
Answer: C
How many integers between 324,700 and 375,600 have tens digit 1 and units digit 3? Answer Choice: (A) 509 (B) 624 (C) 756 (D) 832 (E) 947
Answer: A
There were totally 100 men.82 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married? Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: B
In Net's hair salon 38% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures? Answer Choice: (A) 5% (B) 9% (C) 12% (D) 15% (E) 21%
Answer: A
What is the area of a square field whose diagonal of length 26 m? Answer Choice: (A) 287 (B) 269 (C) 338 (D) 200 (E) 230
Answer: C
A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1233. Find the number to be multiplied. Answer Choice: (A) 130 (B) 132 (C) 134 (D) 137 (E) 138
Answer: D
Excluding stoppages, the speed of a train is 60 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour? Answer Choice: (A) A)12 (B) B)18 (C) C)24 (D) D)30 (E) E)36
Answer: C
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 6 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? Answer Choice: (A) 19:2 (B) 18:3 (C) 29:11 (D) 29:5 (E) 29:4
Answer: C
A computer program generates a sequence of numbers a1, a2, a3,... such that a1=1, a2=2, and ak = a(k-1) + 3ak-2 for 2 < k < n for n=20. Find a5. Answer Choice: (A) 10 (B) 24 (C) 28 (D) 32 (E) 38
Answer: C
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio fo the speed of the train to that of the car is : Answer Choice: (A) 3:3 km (B) 3:5 km (C) 3:4 km (D) 2:3 km (E) None
Answer: C
A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard? Answer Choice: (A) 25 m (B) 11 m (C) 77 m (D) 86 m (E) 46 m
Answer: A
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement. Answer Choice: (A) 2/17 (B) 3/37 (C) P(E) 9 by 42 (D) 8/97 (E) 12/31
Answer: C
What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.? Answer Choice: (A) Rs.10123.22 (B) Rs.10823.20 (C) Rs.10123.20 (D) Rs.10123.29 (E) Rs.10123.28
Answer: C
When x is divided by y, the quotient is v with remainder r. What is x in terms of r, y, and v? Answer Choice: (A) y + r +v (B) yv + r (C) x/y+r (D) y/v+r (E) rv + y
Answer: B
In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a11? Answer Choice: (A) 100 (B) 55 (C) 21 (D) 19 (E) 1
Answer: C
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle? Answer Choice: (A) Rs. 1090 (B) Rs. 1160 (C) Rs. 1190 (D) Rs. 1202 (E) Rs. 1092
Answer: C
The number of sailors on a ship is 85% more than the number of officers. The ratio of sailors to officers would be Answer Choice: (A) 37:20 (B) 47:20 (C) 47:25 (D) 22:25 (E) 97:50
Answer: A
which of the following options is the correct value of b, given the equation b^(-2) +b^3 = 64.1? Answer Choice: (A) 2 (B) 1 (C) 3 (D) 7 (E) 4
Answer: E
A circular wheel 28 inches in diameter rotates the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minute does the larger wheelmakes in terms of x ? Answer Choice: (A) 48pi/x (B) 75x (C) 46x (D) 24x (E) 48x
Answer: E
Can you please walk me through how to best approach this problem? Thanks
If #p# = ap^3+ bp – 1 where a and b are constants, and #-5# = 10, what is the value of #5#? Answer Choice: (A) 5 (B) -12 (C) -2 (D) -3 (E) -5
Answer: B
Jim is now twice as old as Fred, who is two years older than Sam. Seven years ago, Jim was three times as old as Sam. How old is Jim now? Answer Choice: (A) 18 (B) 20 (C) 24 (D) 32 (E) 40
Answer: E
A child has 12 crayons, then she finds 4 more crayons. Now how many crayons does she have. Answer Choice: (A) A) 8 (B) B) 14 (C) C) 22 (D) D) 18 (E) E) 16
Answer: E
If 63 percent of a class answered the first question on a certain test correctly, 49 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly? Answer Choice: (A) 22% (B) 24% (C) 26% (D) 28% (E) 32%
Answer: E
If m is the average (arithmetic mean) of the first 10 positive multiples of 4 and if M is the median of the first 10 positive multiples of 4, what is the value of M – m ? Answer Choice: (A)  0 (B)  -5 (C)  5 (D)  25 (E)  27.5
Answer: A
The average height of 35 boys in a class was calculated as 182cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).? Answer Choice: (A) 180.27 cm (B) 180.29 cm (C) 978.29 cm (D) 178.89 cm (E) 176.29 cm
Answer: B
A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then what is B's share in the profit? Answer Choice: (A) Rs. 2000 (B) Rs. 3000 (C) Rs. 4000 (D) Rs. 5000 (E) None of these
Answer: C
Find the compound ratio of (1:2), (2:3) and (3:4) is Answer Choice: (A) 1:2 (B) 3:5 (C) 5:7 (D) 1:4 (E) 2:1
Answer: D
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = e is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-e, -k), then what are the coordinates of the point P? Answer Choice: (A) (-5e, -5k) (B) (-3e, -3k) (C) (2e, 2k) (D) (3e, 3k) (E) (5e, 5k)
Answer: D
In Town X, 64 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town X are females? Answer Choice: (A) 16% (B) 25% (C) 32% (D) 40% (E) 34%
Answer: E
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 72 km downstream? Answer Choice: (A) 30/16 hours (B) 36/13 hours (C) 30/73 hours (D) 30/13 hours (E) 50/13 hours
Answer: B
The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 70 on the exam is in what percentile of the school?
Choices Answer Choice: (A) 63rd percentile (B) 68th percentile (C) 84th percentile (D) 96th percentile (E) 98th percentile
Answer: A
David, a painter, has 9 jars of paint: 4 are black, 2 are yellow, and the rest are brown. David will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no black paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of black paint 4) J2, if the paint contains exactly 1 jar of black paint What is the probability that the new colour will be a shade of J (J1 or J2)? Answer Choice: (A) 42/37 (B) 21/37 (C) 37/42 (D) 18/37 (E) 8/37
Answer: C
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is Answer Choice: (A) 4.04% (B) 4.34% (C) 4.45% (D) 4.64% (E) 4.70%
Answer: A
If the quantity 4^2+ 4^4 + 4^8 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b? Answer Choice: (A) 16 (B) 14 (C) 15 (D) 21 (E) 22
Answer: A
lexus car agency has 135 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is? Answer Choice: (A) 36 (B) 37 (C) 38 (D) 39 (E) 40
Answer: E
What is the greatest integer that will always evenly divide the sum of five consecutive integers? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 5
Answer: E
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ? Answer Choice: (A) 100 π (B) 101/π (C) 99 π/12 (D) 54/13π (E) 22/10π
Answer: A
Robin is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of RICE , 3 morsels of white, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Robin drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops? Answer Choice: (A) rye − wheat − wheat (B) RY-R-R (C) white − rye − wheat (D) white − white − white (E) white − white − rye
Answer: B
A train 125 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Answer Choice: (A) 51 (B) 50 (C) 88 (D) 65 (E) 22
Answer: A
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 12 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? Answer Choice: (A) 67 (B) 88 (C) 18 (D) 26 (E) 12
Answer: E
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 45% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game? Answer Choice: (A)  36% (B)  79.75% (C)  80% (D)  82% (E)  84%
Answer: B
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/7 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water? Answer Choice: (A) 0 (B) 1/14 (C) 2/15 (D) 1/10 (E) 2/10
Answer: B
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 88 Θ 33 ) Θ 17 ) - ( 90 Θ (33 Θ 17)) ? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
Mohit sold an article for Rs. 18000. Had he offered a discount of 16% on the selling price, he would have earned a profit of 8%. What is the cost price of the article? Answer Choice: (A) 14000 (B) 27767 (C) 16688 (D) 26678 (E) 19987
Answer: A
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? Answer Choice: (A) 1:96 (B) 1:94 (C) 1:98 (D) 1:93 (E) 1:91
Answer: A
If x=-4, which of the following is(are) true? I. x^2=-|x| II x/-4 = 1 III |x|=x Answer Choice: (A) I only (B) III only (C) II only (D) I,II only (E) II,III only
Answer: C
A company that ships boxes to a total of 13 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter) Answer Choice: (A) 6 (B) 5 (C) 8 (D) 9 (E) 10
Answer: B
A man can row 9km/hrin still water. it takes him twice as long to row upas to row down the river find the rate of the stream Rate of the current ? Answer Choice: (A) 2km/hr (B) 63.8km/hr (C) 8.9km/hr (D) 9.6km/hr (E) 7.9km/hr
Answer: A
There are 30 balls which are red, blue or green. If 11 balls are green and the sum of red balls and green balls is less than 25, at most how many red balls are there? Answer Choice: (A) 14 (B) 13 (C) 16 (D) 17 (E) 8
Answer: B
X starts a business with Rs.45000. Y joins in the business after 8 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) 9:2 (C) 1:3 (D) 3:1 (E) 1:1
Answer: B
Clarissa is driving home from work, 110 miles away. After driving 5 miles, she gets a flat tire. The replacement tire can't handle speeds above 35 miles per hour. How long will she have to drive, in hours, on the replacement before she arrives home? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
Gold is 19 times as heavy as water and copper is 9 times heavy. In what ratio must these metals be mixed so that the mixture may be 15 times as heavy as water? Answer Choice: (A) 2 : 3 (B) 3 : 2 (C) 1 : 3 (D) 2 : 1 (E) None of these
Answer: B
Convert the 13/36 m/s into kilometers per hour? Answer Choice: (A) 1.5 (B) 1.9 (C) 1.3 (D) 1.6 (E) 1.1
Answer: C
A can do a piece of work in 40 days; B can do the same in 40 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in? Answer Choice: (A) 20 days (B) 65 days (C) 86 days (D) 45 days (E) 17 days
Answer: A
A train 200 m long passed a pole in 18 sec. How long will it take to pass a platform 600 m long? Answer Choice: (A) 12 sec (B) 73 sec (C) 74 sec (D) 21 sec (E) 46 sec
Answer: B
Find the cost price of an item if by selling at Rs.720, a profit of 13% is made? Answer Choice: (A) Rs.616 (B) Rs.726 (C) Rs.326 (D) Rs.926 (E) Rs.626
Answer: E
Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there? Answer Choice: (A) 15 (B) 20 (C) 25 (D) 35 (E) 30
Answer: E
What is the difference between local value & face value of 5 in the numeral 65793? Answer Choice: (A) 4455 (B) 4955 (C) 4995 (D) 4890 (E) 10000
Answer: C
Mangala completes a piece of work in 15 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) 8 days (B) 10 days (C) 11 days (D) 12 days (E) 14 days
Answer: C
If a function f is defined by f(x)= (1-x)/x for all non zero numbers x. If f(a) = 1 and f(a/b) = 3 then b= ? Answer Choice: (A) 3 (B) 1/3 (C) 2 (D) 1/2 (E) -2
Answer: C
A thief is noticed by a policeman from a distance of 290 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes? Answer Choice: (A) 100 (B) 190 (C) 2987 (D) 278 (E) 271
Answer: B
Compound interest of Rs.3000 at 10% per annum for 1 l/2years will be (interest compounded half yearly). Answer Choice: (A) Rs.473 (B) Rs.374 (C) Rs.495 (D) Rs.347 (E) None of the above
Answer: A
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 10 kmph (B) 67 kmph (C) 22 kmph (D) 88 kmph (E) 15 kmph
Answer: E
The compound interest earned on a sum for the second and the third years are $1200 and $1272 respectively. What is the rate of interest? Answer Choice: (A) 4% (B) 6% (C) 8% (D) 10% (E) 12%
Answer: B
My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed? Answer Choice: (A) 6: 40 AM (B) 1: 90 AM (C) 5: 50 AM (D) 2: 40 AM (E) 6: 20 AM
Answer: A
If n is the smallest integer such that 144 times n is the square of an integer, what is the value of n? Answer Choice: (A)  2 (B)  3 (C)  6 (D)  12 (E)  24
Answer: A
In a certain store, the profit is 300% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? Answer Choice: (A) 65% (B) 66.7% (C) 68.75% (D) 70% (E) 71.2%
Answer: C
If ‘MADRAS’ is coded as ‘DADIAA’, then ‘HARYANA’ is coded as Answer Choice: (A) HRAAYNA (B) HAIGAEA (C) GARYNDA (D) GARYNDB (E) None
Answer: B
Place a mathematical symbol between the numerals 5 and 9 in such a way that the resulting number is greater than 5 but smaller than 9. Answer Choice: (A) 5.9 (B) 7.8 (C) 5.5 (D) 8.1 (E) 6.3
Answer: A
The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If q of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present? Answer Choice: (A)  y/R (B)  y/(R-x) (C)  xy/(R-x) (D)  qy/(R(R-q)) (E)  y/(R(R-x))
Answer: D
Raj writes a number. He sees that the number of two digits exceeds four times the sum of its digit by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digit. Find the number Answer Choice: (A) 3 (B) 5 (C) 6 (D) 7 (E) 87
Answer: A
If A : B = 4 : 7 and B : C = 5 : 9 then A : B : C is : Answer Choice: (A) 20 : 35 : 63 (B) 35 : 36 : 63 (C) 30 : 35 : 65 (D) 25 :34: 68 (E) None of these
Answer: A
Raman's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss. Answer Choice: (A) 75 (B) 65 (C) 45 (D) 25 (E) 85
Answer: D
Two pipes A and B can separately fill a tank in 10 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank? Answer Choice: (A) 6min (B) 9min (C) 7min (D) 8min (E) 10min
Answer: B
one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 40 workers in the Palabras bookstore, how many of them have read both books? Answer Choice: (A) 3 (B) 2 (C) 9 (D) 8 (E) 7
Answer: B
A group of men decided to do a work in 20 days, but 8 of them became absent. If the rest of the group did the work in 28 days, Find the original number of men? Answer Choice: (A) 60 (B) 28 (C) 40 (D) 50 (E) 25
Answer: B
A group of boy scouts and girls scouts is going on a rafting trip. 70% of the scouts arrived with signed permission slips. If 60% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the nearest percent. Answer Choice: (A) 50% (B) 60% (C) 63% (D) 66% (E) 70%
Answer: C
If the operation @ is defined for all a and b by the equation a@b =(a-b)/5,then (3@-2)@6=? Answer Choice: (A) 0 (B) 1 (C) 2 (D) -2 (E) -1
Answer: E
A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 4¢ envelopes and 5¢ envelopes. If the company requested 3 more 4¢ envelopes than 5¢ envelopes, which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ? Answer Choice: (A) 3x+32 (B) 5x-1 (C) (7x+15)/2 (D) (9x-4)/2 (E) 6x+2
Answer: B
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 6%. What was its profit on the items sold in February? Answer Choice: (A) 27.5% (B) 30% (C) 35% (D) 37.5% (E) 41%
Answer: E
Taps A and B can fill a bucket in 15 minutes and 30 minutes respectively. If both are opened and A is closed after 4 minutes, how much further time would it take for B to fill the bucket? Answer Choice: (A) 19 mins. (B) 15 mins. (C) 18 mins. (D) 16 mins. (E) 17 mins.
Answer: C
If y>x>0, which of the following must be true:
I. y^2>x^2
II. y^3 > x^3
III. |y|>x Answer Choice: (A) I only (B) II only (C) I, II and III (D) II and III (E) III only
Answer: C
Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 1.5 times the amount of the second solution? Answer Choice: (A) 61 (B) 65 (C) 68 (D) 70 (E) 72
Answer: A
In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 655200000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election. Answer Choice: (A) 1300000000 (B) 12500 (C) 14000 (D) 12000 (E) None of these
Answer: A
Laura took out a charge account at the General Store and agreed to pay 7% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments? Answer Choice: (A) $2.10 (B) $37.10 (C) $37.45 (D) $38.10 (E) $38.80
Answer: C
In a games hour 4 different types of players came to the ground? cricket 11, hockey 15, football 21, softball 15. In these 4 people play both cricket and hockey, 3people play both softball and football. 3 people play both cricket and football. How many people play only cricket? Answer Choice: (A) 11 (B) 4 (C) 5 (D) 3 (E) 9
Answer: B
If an item that originally sold for A dollars was marked up by x percent and then discounted by M percent, which of the following expressions represents the final price of the item? Answer Choice: (A) (10,000z + 100z(x – y) – xyz)/10,000 (B) (10,000z + 100z(y – x) – xyz)/10,000 (C) (100z(x – y) – xyz)/10000 (D) (A+ Ax/100) - M/100 ( A +Ax/100) (E) 10000 /(x – y)
Answer: D