loafeihong/math_mmlu_format huggingface dataset:
At a dinner party 4 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group? Answer Choice: (A) 6 (B) 10 (C) 24 (D) 32 (E) 120
Answer: A
Anna worked for h hours each day for d consecutive days. If she earns $3.50 per hour, what is the total amount she earned? Answer Choice: (A) 3.50/d + h (B) 3.50 + d + h (C) 3.50 + dh (D) 3.50h + d (E) 3.50dh
Answer: E
The probability of a team winning a match given Matt is playing the match is 0.65. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match? Answer Choice: (A) 0.8321 (B) 0.7 (C) 0.8571 (D) 0.7531 (E) 0.8387
Answer: E
A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on thediscounted price. If a staff member buysthe dress what will she have to pay in terms of X? Answer Choice: (A) 0.560X (B) 0.560X (C) 0.765X (D) 0.608X (E) 0.895X
Answer: C
A password consists of two letters of the alphabet followed by three digits chosen from 0 to 9. Repeats are allowed. How many different possible passwords are there? Answer Choice: (A) 492,804 (B) 650,000 (C) 676,000 (D) 1,757,600 (E) 757,600
Answer: C
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer Q that must divide n is? Answer Choice: (A) 6 (B) 12 (C) 24 (D) 36 (E) 48
Answer: B
If 0 < x ≤ 6, then which one of the following is the maximum value of (x – 1)^2 + x ? Answer Choice: (A) –2 (B) –1 (C) 0 (D) 31 (E) 2
Answer: D
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) 16 sec (B) 15 sec (C) 48 sec (D) 44 sec (E) 21 sec
Answer: C
Machines P and Q are two different machines that make items in a factory. When Machine P works alone, it covers 15 items in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 15 items in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 15item? Answer Choice: (A) m (B) n (C) 15n/225-mn (D) m+n (E) m-n
Answer: C
There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 9 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art? Answer Choice: (A) 25 (B) 32 (C) 36 (D) 48 (E) 67
Answer: E
A and B started business in partnership investing Rs. 18,000 and Rs. 16,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business? Answer Choice: (A) A)7500 (B) B)7389 (C) C)7379 (D) D)7453 (E) E)7653
Answer: E
Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 9% sugar. What percentage of the gallon is dye? Answer Choice: (A)  6 (B)  6.5 (C)  7.2 (D)  8 (E)  24
Answer: C
City A to city B, Michael drove for 1 hour at 80 mph and for 3 hours at 60 mph. What was the average speed for the whole trip? Answer Choice: (A) 57 (B) 57.5 (C) 58.2 (D) 60 (E) 62
Answer: D
If in a race of 80m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by: Answer Choice: (A) 20m (B) 16m (C) 11m (D) 10m (E) 15m
Answer: B
Kelsey travelled for 10 hours. He covered the first half of the distance at 25 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by Kelsey? Answer Choice: (A) 583 km (B) 400 km (C) 670 km (D) 360 km (E) 234 km
Answer: B
In how many ways can 6 boys and 3 girls sit around a table in such a way that no two girls sit together? Answer Choice: (A) 10000 (B) 14000 (C) 14400 (D) 18000 (E) 19000
Answer: C
John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $74000, what is their combined tax rate? Answer Choice: (A) 32% (B) 34.4% (C) 35% (D) 35.6% (E) 36.4%
Answer: D
If two integers x,y (x>y) are selected from -3 to 4 (inclusive), how many cases are there? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 26 (E) 28
Answer: E
How many integers between 100 and 400 are there such that their unit digit is odd? Answer Choice: (A) 100 (B) 120 (C) 200 (D) 50 (E) 150
Answer: E
A ball is bought for Rs.400 and sold at a gain of 20% find its selling price Answer Choice: (A) Rs.400/- (B) Rs.420/- (C) Rs.480/- (D) Rs.500/- (E) Rs.520/-
Answer: C
Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes? Answer Choice: (A) 2 kg (B) 2.5 kg (C) 2.4 kg (D) None of these (E) Cannot be determined
Answer: B
If "WATER" is given a code of 67, then what is the difference between "RIVER" and "LAKE"? Answer Choice: (A) 101 (B) 29 (C) 43 (D) 42 (E) 30
Answer: C
If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 ) is an odd negative integer Answer Choice: (A) I only (B) II only (C) I (D) I and III (E) II and III
Answer: C
Find large number from below question The difference of two numbers is 1200. On dividing the larger number by the smaller, we get 5 as quotient and the 4 as remainder Answer Choice: (A) 1234 (B) 1345 (C) 1456 (D) 1567 (E) 1499
Answer: E
Find 62976 ÷ ? = 123 Answer Choice: (A) 412 (B) 502 (C) 512 (D) 522 (E) None
Answer: C
An investor bought 200 shares of stock in ABCD company in 1990. By 1992, the investment was worth only 2/3 of its original value. By 1995, the 200 shares were worth only 1/3 of their value in 1990. By what percent did the value of the investment drop from 1992 to 1995? Answer Choice: (A) 16 2/3% (B) 25% (C) 33 1/3% (D) 50% (E) 66 2/3%
Answer: D
The numerator of a fraction is 1 less than twice the denominator. If the numerator and denominator are both increased by 1, the fraction becomes 4/5. Find the fraction? Answer Choice: (A) A)2/3 (B) B)3/5 (C) C)7/4 (D) D)5/9 (E) of these
Answer: C
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 42, the how old is B? Answer Choice: (A) 16 (B) 9 (C) 8 (D) 11 (E) 10
Answer: A
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train? Answer Choice: (A) 87 Kmph (B) 68 Kmph (C) 54 Kmph (D) 15 Kmph (E) 12 Kmph
Answer: B
Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and five times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket? Answer Choice: (A) 9 (B) 10 (C) 18 (D) 24 (E) 21
Answer: D
A train running at the speed of 40 km/hr crosses a pole in 9 seconds. What is the length of the train? Answer Choice: (A) 120 metres (B) 180 metres (C) 324 metres (D) 150 metres (E) 100 meters
Answer: E
To reach her destination, Jeanette must drive 90 miles. If she drives 5 miles every 9 minutes, how much time will it take her to reach her destination? Answer Choice: (A) 2 hours and 2 minutes (B) 2 hours and 42 minutes (C) 2 hours and 10 minutes (D) 2 hours and 12 minutes (E) 2 hours and 15 minutes
Answer: B
For the positive integers x, x + 2, x + 4, x + 7, and x + 37, the mean is how much greater than the median? Answer Choice: (A) 6 (B) 1 (C) 2 (D) 4 (E) 7
Answer: A
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is Answer Choice: (A) 1/2 (B) 2/3 (C) 3/5 (D) 3/7 (E) 4/9
Answer: A
In how many different ways can the letters of the word ‘PROBE’ be arranged ? Answer Choice: (A) 120 (B) 130 (C) 150 (D) 110 (E) 160
Answer: A
Statement : Company X has marketed the product. Go ahead, purchase it if price and quality are your considerations.
Conclusions :
I. The product must be good in quality.
II. The price of product must be reasonable. Answer Choice: (A)  I only (B)  II only (C)  I and II only (D)  I and III only (E)  II and III only
Answer: C
If Nick gains 10 pounds, he will weigh 50% more than his brother. Currently, their combined weight is 340 pounds. What is Nick's current weight? Answer Choice: (A) 140 (B) 160 (C) 170 (D) 190 (E) 200
Answer: E
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent? Answer Choice: (A) 233 (B) 877 (C) 100 (D) 286 (E) 181
Answer: C
A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 250 more than A : Answer Choice: (A) 2348 (B) 7250 (C) 2767 (D) 1998 (E) 2771
Answer: B
How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 24 percent alcohol? Answer Choice: (A)  7/2 (B)  5 (C)  20/3 (D)  100/19 (E)  39/4
Answer: D
Area of four walls of a room is 99 m2. The length and breadth of the room are 7.5 m and 3.5m respectively. The height of the room is: Answer Choice: (A) 2.5m (B) 3.5m (C) 1.5m (D) 4.5m (E) 5.5m
Answer: D
3 OUT OF 2500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH Answer Choice: (A) 11/50 (B) 1/8 (C) 1/45 (D) 2/45 (E) NONE OF THESE
Answer: B
How many multiples of 5 are there between 1 and 100 (both are inclusive)? Answer Choice: (A) 1.2 (B) 20.8 (C) 2.3 (D) 6.7 (E) 8.2
Answer: B
A truck covers the distance of 550 meters in 1 minute where as a bus covers a distance of 33kms in 45 minutes.Find the ratio of their speed? Answer Choice: (A) 3:1 (B) 4:3 (C) 5:2 (D) 3:4 (E) 2:2
Answer: D
The area of a circular place is 17.56 hectares. Find the cost of fencing it at the rate of Rs. 3/meter approximately. Answer Choice: (A) Rs. 4233 (B) Rs. 4350 (C) Rs. 4457 (D) Rs. 4670 (E) Rs. 4756
Answer: C
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A? Answer Choice: (A) 9179 (B) 3000 (C) 2997 (D) 2678 (E) 2682
Answer: B
As x increases from 111 to 112, which of the following increases? I) x−1/x II) 17−1/x III) (17+x)/x Answer Choice: (A) II only (B) I,II only (C) III only (D) I only (E) I,III only
Answer: B
If the probability T of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period? Answer Choice: (A) 8/125 (B) 2/25 (C) 5/16 (D) 8/25 (E) 3/4
Answer: C
a father said to his son ,i was as old as your are at the present at the time of your birth. if the father's age is 38 years now. the son's age five years back was: Answer Choice: (A) 14 (B) 19 (C) 33 (D) 38 (E) 12
Answer: A
On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.15 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes? Answer Choice: (A) 0.027 (B) 0.386 (C) 0.417 (D) 0.657 (E) 0.9
Answer: B
Three students appear at an examination of Mathematics. The probability of their success are 2/3, 1/4, 1/5 respectively. Find the probability of success of at least two. Answer Choice: (A) 17/60 (B) 2/50 (C) 3/40 (D) 13/50 (E) 14/60
Answer: A
A train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? Answer Choice: (A) 150 (B) 230 (C) 77 (D) 62 (E) 52
Answer: B
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) 2:96 (C) 1:86 (D) 1:94 (E) 2:96
Answer: A
Two persons starting from the same place walk at a rate of 4kmph and 5.5kmph respectively. What time will they take to be 9km apart, if they walk in the same direction? Answer Choice: (A) 6 hrs (B) 22 hrs (C) 25 hrs (D) 12 hrs (E) 14 hrs
Answer: A
If 4a^4 − 41a^2 + 100 = 0, then what is the sum of the two greatest possible values of a ? Answer Choice: (A) 4 (B) 9/2 (C) 7 (D) 41/4 (E) 25
Answer: B
Only a single rail track exists between stations A and B on a railway line. One hour after the north bound super fast train N leaves station A for station B, a south-bound passenger train S reaches
station A from station B. The speed of the super fast train is twice that of a normal express train E, while the speed of a passenger train S is half that of E. On a particular day, N leaves for B from A, 20 min behind the normal schedule. In order to maintain the schedule, both N and S increased their speeds. If the super fast train doubles its speed, what should be the ratio (approximately) of the speeds of passenger train to that of the super fast train so that the passenger train S reaches exactly at the scheduled time at A on that day? Answer Choice: (A) 1 : 3 (B) 1 : 4 (C) 1 : 5 (D) 1 : 6 (E) None of these
Answer: D
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 52, the dividend is: Answer Choice: (A) 5324 (B) 5334 (C) 6812 (D) 7356 (E) 7400
Answer: C
P, Q, R subscribe Rs. 50,000 for a business. P subscribes Rs. 4000 more than Q and Q Rs. 5000 more than R. Out of a total profit of Rs. 25,000, what will be P's share? Answer Choice: (A) 10,509 (B) 10,502 (C) 10,500 (D) 10,501 (E) 10,506
Answer: C
Sravan and Bhavan began business with Rs.16000 and Rs.20000 after 8 months, Sravan advances Rs.4000 more and Bhavan withdraws Rs.4000. At the end of two years, their profits amounted to Rs.5535 find the share of Sravan. Answer Choice: (A) 2850 (B) 2870 (C) 3000 (D) 2800 (E) 2825
Answer: B
In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class? Answer Choice: (A) 10.6 (B) 11.6 (C) 12.6 (D) 13.6 (E) 14.6
Answer: C
A certain school supplies store arranges pencils on display such that each of the six different colors of pencils, yellow, orange, green, red, blue, and purple are consecutive in a repeating pattern. If seven consecutively displayed pencils are purchased, what is the probability that two of the pencils
are purple? Answer Choice: (A) 1/6 (B) 1/36 (C) 1/20 (D) 2/3 (E) 2/5
Answer: A
From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 20 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009? Answer Choice: (A) 80 (B) 90 (C) 95 (D) 100 (E) 108
Answer: E
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $20.95. What is the greatest number of hot dogs you can buy at this store with $300? Answer Choice: (A)  3,108 (B)  3,100 (C)  3,108 (D)  3,540 (E)  3,256
Answer: D
if A and B both work for 6 hrs,B and C work for 7.5 hrs,C and A work for 10 hrs .
i dont remember but ......its arrange in increasing order by their work Answer Choice: (A) cab (B) cba (C) abc (D) bac (E) none of these
Answer: D
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? Answer Choice: (A) Rs.1300 (B) Rs.1599 (C) Rs.7290 (D) Rs.15000 (E) Rs.72821
Answer: D
If x is a positive integer with fewer than 3 digits, what is the probability Q that x*(x + 1) is a multiple of either 4 or 5? Answer Choice: (A) 4/99 (B) 2/25 (C) 8/99 (D) 49/100 (E) 86/99
Answer: E
A can do piece of work in 15 days and B in 20 days they finished the work with the assistance of c in 5 days and got Rs.45 as their wages find the share for each in wages? Answer Choice: (A) 11,12,13 (B) 15,11,13 (C) 15,11.25,18.75 (D) 11,15.25,18.75 (E) None of these
Answer: C
The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 6400 meters per second, what was the speed, in meters per second, when the stopwatch was started? Answer Choice: (A) 25/2 (B) 25/4 (C) 25/8 (D) 25/16 (E) 25/32
Answer: A
If v and t are integers and v^2 – t^2 is an odd integer, which of the following must be an even integer?
I. v + t + 2
II. v^2 + 2vt + t^2
III. v^2 + t^2 Answer Choice: (A) None (B) I only (C) II only (D) III only (E) I, II, and III
Answer: A
If Jesse flips a coin seven times in a row, what is the probability that the result will be heads at all the times? Answer Choice: (A) 1/128 (B) 29/128 (C) 35/128 (D) 1/16 (E) 1/4
Answer: A
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 1251. Find the number to be multiplied. Answer Choice: (A) 130 (B) 132 (C) 134 (D) 136 (E) 139
Answer: E
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? Answer Choice: (A) 7% (B) 4% (C) 5% (D) 2% (E) 1%
Answer: B
How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together. Answer Choice: (A) 17280 (B) 4320 (C) 720 (D) 80 (E) None of thsee
Answer: A
15 + sqrt(- 6 + 8Ã—5Ã·4) =? Answer Choice: (A) 31 (B) 32 (C) 33 (D) 34 (E) 35
Answer: A
How many of the positive factors of 63 , 84 and how many common factors are there in numbers? Answer Choice: (A) 2 (B) 4 (C) 3 (D) 5 (E) 1
Answer: B
A numberais squared and then multiplied by negative 3. The result of this operation R is equal to three times the sum of three timesaand two. What is one possible value ofa? Answer Choice: (A) -3 (B) -2 (C) 1 (D) 2 (E) 3
Answer: B
Let the number which when multiplied by 13 is increased by 180. Answer Choice: (A) 14 (B) 20 (C) 15 (D) 28 (E) 30
Answer: C
5 persons a, b, c, d, e are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there? Answer Choice: (A) 24 (B) 36 (C) 48 (D) 72 (E) 144
Answer: B
A rower whose speed is 4 km/hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 2 km/hr. What is the rower's average speed (in km/hr) for the total journey? Answer Choice: (A) 6 (B) 4 (C) 9 (D) 3 (E) 2
Answer: D
What is the probability of getting exactly 2 heads in a single throw of four fair coins? Answer Choice: (A) 1/2 (B) 3/4 (C) 3/8 (D) 3/16 (E) 5/16
Answer: C
The sale price sarees listed for Rs.750 after successive discount is 20% and 15% is? Answer Choice: (A) 227 (B) 570 (C) 342 (D) 680 (E) 230
Answer: B
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Answer Choice: (A) 49 (B) 88 (C) 25 (D) 18 (E) 11
Answer: A
How many odd factors does 520 have? Answer Choice: (A)  3 (B)  4 (C)  5 (D)  6 (E)  8
Answer: B
Population of a city in 20004 was 1300000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007 Answer Choice: (A) 354354 (B) 545454 (C) 465785 (D) 456573 (E) 2818075/2
Answer: E
Find the area of a parallelogram with base 32 cm and height 14 cm? Answer Choice: (A) 498 cm2 (B) 384 cm2 (C) 430 cm2 (D) 128 cm2 (E) 448 cm2
Answer: E
The probability of Sam passing the exam is 1/5. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test? Answer Choice: (A) 1/24. (B) 1/2. (C) 5/6. (D) 2/3. (E) 2/5
Answer: C
A shipment of 8 television sets contains 2 black-and-white sets and 4 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set? Answer Choice: (A) 1/7 (B) 1/4 (C) 5/14 (D) 11/14 (E) 13/28
Answer: D
An office supply store stocks three sizes of notebooks, each in five colors: blue, green, yellow, red, or pink. The store packs the notebooks in packages that contain either 3 notebooks of the same size and the same color or 3 notebooks of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible? Answer Choice: (A) 24 (B) 30 (C) 42 (D) 45 (E) 60
Answer: D
A train 175 m long pass a telegraph pole in 5 seconds. Find the speed of the train Answer Choice: (A) 66 km/hr (B) 68.4 km/hr (C) 72 km/hr (D) 126 km/hr (E) None
Answer: D
A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in? Answer Choice: (A) 20 years (B) 1 years (C) 15 years (D) 39 years (E) 39 years
Answer: C
Set F consists of all the prime numbers between 10 and 25. What is the range of set F? Answer Choice: (A) 12 (B) 13 (C) 16.6 (D) 17 (E) 23
Answer: A
If a mixture is 5⁄9 alcohol by volume and 4⁄9 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture? Answer Choice: (A) 1/4 (B) 3/4 (C) 5/4 (D) 6/4 (E) 7/4
Answer: C
when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 12 Answer Choice: (A) 1 (B) 3 (C) 4 (D) 5 (E) 12
Answer: D
The mean of set L does not exceed mean of any subset of set L. Which of the following must be true about set L?
I. Set L contains only one element
II. All elements in set L are equal
III. The median of set L equals the mean of set L 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
The ratio of number of students studying Arts, Commerce and Science in a College is 7 : 5 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science? Answer Choice: (A) 18 : 35 : 50 (B) 3 : 10 : 10 (C) 4 : 8 : 5 (D) 21 : 35 : 50 (E) None of these
Answer: D
xy=1 then what is (4^(x+y)^2) / (4^(x-y)^2) Answer Choice: (A) 2 (B) 4 (C) 8 (D) 256 (E) 32
Answer: D
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car? Answer Choice: (A) 1:2 (B) 1:9 (C) 1:1 (D) 1:9 (E) 3:2
Answer: A
A researcher computed the mean, the median, and the standard deviation Q 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 X = Y/Z+1, -1 < Z < 0 and 2 < Y, which of the following is correct? Answer Choice: (A) 1 < X <2 (B) 0 < X <-2. (C) -4 < X < 0 (D) 0 < X <-4 (E) X < -20
Answer: A
If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region? Answer Choice: (A) 25/√π (B) 30/√π (C) 20 (D) twenty five (25) (E) 30
Answer: D