loafeihong/math_mmlu_format huggingface dataset:
A cube of edge 15 cm is imersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20 cm * 15 cm, find the rise in waer level. Answer Choice: (A) 11.25 cm. (B) 12.25 cm (C) 13.25 cm (D) 14.25 cm (E) None of these
Answer: A
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 63 km/hr. What is the length of the platform? Answer Choice: (A) 240 (B) 288 (C) 277 (D) 226 (E) 280
Answer: E
An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 9 o'clock in the morning? Answer Choice: (A) 120° (B) 60° (C) 30° (D) 90° (E) 150°
Answer: C
A train moves past a post and a platform 264 metre long in 8 seconds and 20 seconds respectively. What is the speed of the train? Answer Choice: (A) 79.2 km/hr (B) 69 km/hr (C) 74 km/hr (D) 61 km/hr (E) 55 km/hr
Answer: A
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train? Answer Choice: (A) 270 m (B) 278 m (C) 290 m (D) 270 m (E) 220 m
Answer: A
In a certain match all the teams were to play with each other. If there are 10 teams, how many matches will have to be played? Answer Choice: (A) 40 (B) 45 (C) 60 (D) 90 (E) None of the above
Answer: B
5220/? * 15 = 2175 Answer Choice: (A) 34 (B) 36 (C) 33 (D) 42 (E) 24
Answer: B
If x - 3 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers? Answer Choice: (A)  -3 and 10 (B)  -3 and 4 (C)  2 and 7 (D)  3 and 4 (E)  5 and 10
Answer: E
Two numbers N and 16 have LCM = 48 and GCF = 4. Find N. Answer Choice: (A) 35 (B) 56 (C) 76 (D) 87 (E) 12
Answer: E
A man can row with a speed of 30 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is? Answer Choice: (A) 40 (B) 27 (C) 20 (D) 99 (E) 2
Answer: A
A trader purchases several articles at the rate of 13 for Rs. 10 and sells them at the rate of 10 for Rs. 13. What is his gain/loss? Answer Choice: (A) 68 % (B) 69 % (C) 66 % (D) 63 % (E) 29 %
Answer: B
Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 30 kg of fresh grapes? Answer Choice: (A) 3.75 kg (B) 2.4 kg (C) 2.5 kg (D) 10 kg (E) none of these
Answer: A
Mangoes sell for $3.25 for a piece that costs a total of $2.85 to source. Oranges sell $2.80 for a piece that costs $2.65 to get. If you sell 55,000 mangoes in a month, how many oranges you must sell to make at least as much in total gross profit as for mangoes ? Answer Choice: (A) 7,858 (B) 8,301 (C) 14,667 (D) 63,840 (E) 146,667
Answer: E
A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water? Answer Choice: (A) 2.75 (B) 5.95 (C) 7.95 (D) 3.25 (E) 4.95
Answer: E
The length of a rectangular floor is more than its breadth by 200%. If Rs. 640 is required to paint the floor at the rate of Rs. 5 per sq m, then what would be the length of the floor? Answer Choice: (A) 19.6m. (B) 20.0m. (C) 19.3m. (D) 18.5m. (E) 18.9m.
Answer: A
If y exceeds x by 15%, then x is less than y by? Answer Choice: (A) 1/12% (B) 1/17% (C) 1/21% (D) 1/22% (E) 1/23%
Answer: E
A rectangular-shaped carpet that measures x feet by y feet is priced at $8. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet) Answer Choice: (A) 72/(xy) (B) 90xy (C) xy/90 (D) xy/10 (E) 10/(xy)
Answer: A
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 26 years now, the son's age 3 years back was: Answer Choice: (A) 14 years (B) 19 years (C) 33 years (D) 38 years (E) 10 years
Answer: E
An aeroplane covers a certain distance at a speed of 240 kmph in 6 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of: Answer Choice: (A) 520 (B) 620 (C) 820 (D) 740 (E) 864
Answer: E
In a sample of National college students, 30 percent are third year students and 60 percent are not second-year students. What fraction of those students who are not third-year students are second-year students? Answer Choice: (A)  3/4 (B)  2/3 (C)  4/7 (D)  1/2 (E)  3/7
Answer: C
In a class of 250 students, 130 study Spanish and 100 study French. If a student must study at least one of these two languages, what percent of the students study French but NOT Spanish? Answer Choice: (A) 60% (B) 40% (C) 30% (D) 20% (E) 10%
Answer: A
Volume of a right circular cylinder is 6o L. If radius of cylinder is doubled, then what will be the increase in volume? Answer Choice: (A) 120 L (B) 180 L (C) 240 L (D) 300 L (E) 360 L
Answer: B
A 1000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely? Answer Choice: (A) 6 (B) 12 (C) 18 (D) 24 (E) 48
Answer: A
10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? Answer Choice: (A) A or V (B) A or C (C) A or B (D) A or D (E) A or J
Answer: C
The diagonals of a rhombus are 13 cm and 20 cm. Find its area? Answer Choice: (A) 176 (B) 130 (C) 150 (D) 179 (E) 172
Answer: B
30^10 / 240^5=? Answer Choice: (A) 6^5 (B) (15/4)^5 (C) 3^6 (D) 6^3 (E) 15^3
Answer: B
The school's basketball team scores for a five game series were 70, 75, 100, 70 and x. If their median score was 5 points lower than their average (arithmetic mean) score in the series, which of the following could be x? Answer Choice: (A) 75 (B) 80 (C) 85 (D) 90 (E) 95
Answer: C
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area? Answer Choice: (A) 120 (B) 77 (C) 66 (D) 211 (E) 12
Answer: A
Y is an even number and X is a positive odd number. Which of the following expressions cannot be even? Answer Choice: (A) X^3 (B) X*3Y*3 (C) (XY)^Y (D) XY (E) Y^2
Answer: A
A shop sells bicycles and tricycles. In total there are 8 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels. Answer Choice: (A) b=2,t=3 (B) b=5,t=3 (C) b=6,t=2 (D) b=2,t=5 (E) b=3,t=4
Answer: B
How many seconds will a 150 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 12 sec (B) 30 sec (C) 86 sec (D) 15 sec (E) 18 sec
Answer: D
What is the greatest of 3 consecutive integers whose sum is 24 ? Answer Choice: (A) 3 (B) 76 (C) 8 (D) 9 (E) 10
Answer: D
Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 3. Based on this information, how many gold coins would there be in this collection after the proposed trade? Answer Choice: (A) 50 (B) 60 (C) 180 (D) 200 (E) 300
Answer: C
An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second? Answer Choice: (A) 18,000 degrees / second (B) 26,000 degrees / second (C) 32,000 degrees / second (D) 47,000 degrees / second (E) 55,000 degrees / second
Answer: A
The ratio of flour to water to sugar in a recipe is 11:5:2. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 7.5 cups of water, how much sugar is required? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: E
If a certain number X is divided by 62, the reminder is 7. what is the reminder when X+11 is divided by 31? Answer Choice: (A) 3 (B) 5 (C) 18 (D) 6 (E) 8
Answer: C
The population of a city increases by 4% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years? Answer Choice: (A) 9% (B) 9.27% (C) 27% (D) 12% (E) None of these
Answer: B
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%? Answer Choice: (A) 323 (B) 144 (C) 278 (D) 279 (E) 171
Answer: B
At the end of each year, the value of a certain antique watch is "c" percent more than its value one year earlier, where "c" has the same value each year. If the value of the watch was "k" dollars on January 1, 1992, and "m" dollars on January 1, 1994, then in terms of "m" and "k", what was the value of the watch, in dollars, on January 1, 1995? Answer Choice: (A) m+1/2(m-k) (B) m+1/2((m-k)/k)m (C) (m*sqrt(m))/sqrt(k) (D) m^2/2k; (E) km^2
Answer: C
A digital wristwatch was set accurately at 8.30 a.m and then lost 2 seconds every 5 minutes. What time was indicated on the watch at 6.30 p.m of the same day if the watch operated continuously that time ? Answer Choice: (A) 5.56 (B) 5.58 (C) 6.0 (D) 6.23 (E) 6.26
Answer: E
Find out the C.I on Rs.8000 at 4% p.a. compound half-yearly for 1 1/2 years Answer Choice: (A) 489.66 (B) 406.07 (C) 406.04 (D) 306.03 (E) 306.01
Answer: A
In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes X of the competition are possible? Answer Choice: (A) 18 (B) 20 (C) 54 (D) 84 (E) 120
Answer: D
ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,35) and (-5,15). Which can be the coordinate of fourth vertex? Answer Choice: (A) (-5,-5) (B) (5,15) (C) (-5,-35) (D) (-5,10) (E) (15,35)
Answer: E
X^Y + Y^X =2408
Find the values of X ? Answer Choice: (A) 2407 (B) 2408 (C) 2409 (D) 2405 (E) 32
Answer: A
30 pens and 75 pencils were purchased for 750. If the average price of a pencil was 2.00, find the average price of a pen. Answer Choice: (A) 20 (B) 11 (C) 12 (D) 13 (E) 14
Answer: A
The length and breadth of a square are increased by 40% and 30% respectively. The area of the rectangle so formed exceeds the area of the square by ? Answer Choice: (A) 82% (B) 78% (C) 80% (D) 90% (E) none of these
Answer: A
How many odd integers X between 200 and 600 are there such that their tens digit is even? Answer Choice: (A) 20 (B) 25 (C) 100 (D) 150 (E) 200
Answer: C
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 7 books and the last shelf contained 11 books, how many shelves does the bookcase have? Answer Choice: (A) 7 (B) 6 (C) 4 (D) 5 (E) 3
Answer: D
The population of a town increased from 1,45,000 to 2,30,500 in a decade. The average percent increase of population per year is: Answer Choice: (A) 4.37% (B) 5.8% (C) 6.8% (D) 8.75% (E) None
Answer: B
An article is bought for Rs.600 and sold for Rs.900, find the gain percent? Answer Choice: (A) 33 1/7% (B) 33 1/6% (C) 50% (D) 38 1/3% (E) 33 2/3%
Answer: C
If x ≠ 0 and x - (2+ x^2)/x = y/x, then y = Answer Choice: (A) -5 (B) -2 (C) -4 (D) -3 (E) -1
Answer: B
tell the smaller no. if its subtraction is 5 and ration is 4:3. Answer Choice: (A) 15 (B) 10 (C) 8 (D) 5 (E) 4
Answer: A
Vinay got thrice as many marks in Maths as in English. The proportion of his marks in Maths and History is 4:3. If his total marks in Maths, English and History are 250, what are his marks in English ? Answer Choice: (A) 120 (B) 90 (C) 40 (D) 80 (E) 70
Answer: C
When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 134.08, what is value of J? Answer Choice: (A) 22 (B) 56 (C) 78 (D) 112 (E) 200
Answer: E
The difference between the ages of A and B is 10 years. Ten years ago, A was twice as old as B. Find the age of A, 10 years hence. Answer Choice: (A) 20 years (B) 30 years (C) 40 years (D) 50 years (E) 60 years
Answer: C
What is the sum of natural numbers between 40 and 100 Answer Choice: (A) 4800 (B) 4270 (C) 5000 (D) 5500 (E) 5550
Answer: B
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot? Answer Choice: (A) 8.5 m (B) 17 m (C) 34 m (D) 51 m (E) None of these
Answer: B
If e is a positive integer, then 3^e + 3^(e +1) = Answer Choice: (A) 4^a (B) 3^a − 1 (C) 3^(2a) + 1 (D) 3^a*(a − 1) (E) 4(3^e)
Answer: E
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 400 m? Answer Choice: (A) 122.9 m (B) 127.5 m. (C) 122.2 m (D) 85 m (E) 12289 m
Answer: D
Two representatives must be selected from each of two groups of students. One group consists of three men and one woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ? Answer Choice: (A) 1/6 (B) 1/4 (C) 2/7 (D) 1/3 (E) 1/2
Answer: E
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITH', if repetition of letters is not allowed? Answer Choice: (A) 690 (B) 336 (C) 740 (D) 760 (E) 780
Answer: B
Janet has to pay back her bank loan over 10 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, $125, ?
How much will she pay back on the tenth month? Answer Choice: (A) $155 (B) $140 (C) $135 (D) $125 (E) $130
Answer: B
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire? Answer Choice: (A) 2:5 (B) 2:6 (C) 2:9 (D) 2:1 (E) 2:4
Answer: A
If taxi fares were $1.00 for the first 1/5 mile and $0.20 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was Answer Choice: (A) $1.56 (B) $2.40 (C) $3.80 (D) $4.20 (E) $2.80
Answer: C
The average of 20, 100 and 180 is twice the average of 10, 30, and which of the following ? Answer Choice: (A) 1)110 (B) 2)30 (C) 3)60 (D) 4)90 (E) 5)180
Answer: A
A person was dialing a telephone. He forgot the last three digits of the six-digit telephone number but rembered that the number formed by the last three digits in the same order was a perfect square. What is the probability he dialed a right number? Answer Choice: (A) 1/32 (B) 1/46 (C) 1/49 (D) 1/36 (E) 1/18
Answer: A
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 550 ? Answer Choice: (A) 249 (B) 498 (C) 676 (D) 823 (E) 274
Answer: E
A grandmother lent $20,000 to her grandson at the beginning of the year. At the end of the year, she received y dollars more than than the amount she lent due to interest. She also received an additional amount $300, as a gift. In terms of y, what fraction of the amount that grandmother received was the gift? Answer Choice: (A) 50Y (B) 300/(20300+Y) (C) 300Y/20000Y (D) 2/3Y (E) 300Y/(Y+1)
Answer: B
The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be: Answer Choice: (A) 22 (B) 18 (C) 19 (D) 27 (E) 62
Answer: B
If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 0
II. x = 0
III. x =y Answer Choice: (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III
Answer: B
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%? Answer Choice: (A) 600 (B) 729 (C) 278 (D) 268 (E) 308
Answer: A
The L.C.M. of 2 numbers is 40. The numbers are in the ratio 4:5. Find their sum? Answer Choice: (A) 18 (B) 40 (C) 48 (D) 32 (E) 56
Answer: A
For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.5? Answer Choice: (A) 12.6. (B) 14.4. (C) 15.8. (D) 15.7. (E) 16.4.
Answer: D
The mean proportional between 4 and 9 is? Answer Choice: (A) 33 (B) 77 (C) 35 (D) 88 (E) 29
Answer: B
How many different committees can be formed from a group of four women and eight men if three people are on the committee and at least one member must be a man? Answer Choice: (A) 215 (B) 220 (C) 225 (D) 216 (E) 210
Answer: D
The square root of 636 is between which set of integers? Answer Choice: (A) 24 and 25 (B) 25 and 26 (C) 26 and 27 (D) 27 and 28 (E) 28 and 29
Answer: B
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon? Answer Choice: (A) 560 (B) 240 (C) 329 (D) 443 (E) 544
Answer: B
What is the place value of 7 in the numeral 57468? Answer Choice: (A) 7000 (B) 5000 (C) 7 (D) 700 (E) 70
Answer: A
Which of the following is closer to (7!+5!)-(7!-5!)? Answer Choice: (A) 120 (B) 150 (C) 200 (D) 240 (E) 360
Answer: D
For what k value(s) is the following equation satisfied: 2k-9-k = 4k+6-3k Answer Choice: (A) a. -5 (B) b. 0 only (C) c. 5/2 only (D) d. No value (E) e. Any value
Answer: D
x+(1/x) = 2.5 find x^2 + (1/x^2) Answer Choice: (A) 2.25 (B) 3.25 (C) 4.25 (D) 5.25 (E) 6.25
Answer: C
A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day? Answer Choice: (A) 1 (B) 4 (C) 3 (D) 2 (E) 6
Answer: D
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 20% solution? Answer Choice: (A) 6.7 (B) 1.3 (C) 9.6 (D) 12.5 (E) 7.9
Answer: D
On a trip covering 350 km, a bicyclist travels the first 200 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip? Answer Choice: (A) 15.5 (B) 16.0 (C) 17.5 (D) 19.0 (E) 18.5
Answer: C
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 360 votes. Find the number of votes casted to the winning candidate? Answer Choice: (A) 288 (B) 744 (C) 788 (D) 298 (E) 930
Answer: E
A researcher computed the mean, the median, and the standard deviation W for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change? Answer Choice: (A) The mean only (B) The median only (C) The standard deviation only (D) The mean and the median (E) The mean and the standard deviation
Answer: D
If 9 ministers are to be seated at a round table conference, then how many different ways can they be seated? Answer Choice: (A) 24 (B) 60 (C) 40320 (D) 720 (E) 180
Answer: C
If the productivity of a brigade grows by 12% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade? Answer Choice: (A) 0.21 (B) 0.82 (C) 1.2 (D) 1.232 (E) 1.44
Answer: D
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square. Answer Choice: (A) 5 : 12 (B) 5 : 14 (C) 5 : 17 (D) 5 : 18 (E) 5 : 16
Answer: E
A mixture containing 6% boric acid is to be mixed with 2 quarts of a mixture which is 15% acid in
order to obtain a solution which is 12% acid. How much of the 6% solution must be used? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket. Answer Choice: (A) 33 (B) 75 (C) 23 (D) 20 (E) 287
Answer: B
A train speeds past a pole in 15 seconds and a platform 140 meters long in 25 seconds. What is the length of the train (in meters)? Answer Choice: (A) 190 (B) 200 (C) 210 (D) 220 (E) 230
Answer: C
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 4 attempts? Answer Choice: (A) 3/4 (B) 5/8 (C) 7/8 (D) 11/16 (E) 15/16
Answer: E
(525 + 275) Ã— 4 Ã— (3 + 2) = ? Answer Choice: (A) 12000 (B) 24000 (C) 16000 (D) 14000 (E) 16200
Answer: C
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 43 legs. How many cats does the ship host? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: D
How long will a boy take to run round a square field of side 40 meters, if he runs at the rate of 9km/hr? Answer Choice: (A) 64sec (B) 45sec (C) 1min (D) 32sec (E) 25sec
Answer: A
A triangle has a perimeter 17. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 3
Answer: D
For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-third of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his earnings for the entire year, what is the value of N? Answer Choice: (A) 8/5 (B) 5/2 (C) 3 (D) 33/25 (E) 4
Answer: D
The average of first nine prime numbers is? Answer Choice: (A) 10 (B) 11.1 (C) 12.5 (D) 15.8 (E) 13.6
Answer: B
If an integer t is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that t(t + 1)(t + 2) will be divisible by 8? Answer Choice: (A) 1/4 (B) 3/8 (C) 1/2 (D) 5/8 (E) 3/4
Answer: D
If integers w and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. wb + b^2
II. (w+ b)^2
III. w + b Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III
Answer: B
Find the invalid no.from the following series 3, 6, 15, 31, 63, 127, 255 Answer Choice: (A) 6 (B) 7 (C) 27 (D) 63 (E) 127
Answer: A
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 4 candidates are there to fill the 4 positions? Answer Choice: (A) 420 (B) 770 (C) 840 (D) 165 (E) 315
Answer: C
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps? Answer Choice: (A) 10 : 5 (B) 15 : 2 (C) 20 : 2 (D) 25 : 2 (E) 28 : 2
Answer: D
. A boy has five trousers and 11 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 45 (B) 55 (C) 65 (D) 75 (E) 80
Answer: B
Jim is able to sell a hand-carved statue for $540 which was a 35% profit over his cost. How much did the statue originally cost him? Answer Choice: (A) $400.00 (B) $412.40 (C) $455.40 (D) $474.90 (E) $488.20
Answer: A
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent? Answer Choice: (A) 988 (B) 500 (C) 378 (D) 373 (E) 287
Answer: B
In a car wheel, ten spokes cover 60 degrees. Then for the entire car,how many spokes are there? Answer Choice: (A) 120 (B) 140 (C) 240 (D) 320 (E) 340
Answer: C
If y = x^2 + cx + d, y is minimum when x is: Answer Choice: (A) c/d (B) -c/d (C) -c/2 (D) -d/2 (E) d/c
Answer: C
If two sides of a triangle are 12 and 4, which of the following could be the area of triangle?
1. 35
2. 48
3. 56 Answer Choice: (A) a) 1 only (B) b) 1 and 2 only (C) c) 1 and 3 only (D) d) 2 and 3 only (E) e) 1, 2 and 3 only
Answer: D