loafeihong/math_mmlu_format huggingface dataset:
A reduction of 40% in the price of bananas would enable a man to obtain 50 more for Rs.40, what is reduced price per dozen? Answer Choice: (A) 1.34 (B) 2.84 (C) 3.84 (D) 4.34 (E) 5
Answer: C
What least whole no. should be added to 532869 to make it divisible by 9? Answer Choice: (A) 5 (B) 6 (C) 9 (D) 10 (E) 11
Answer: C
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? Answer Choice: (A) 63 (B) 12 (C) 45 (D) 72 (E) 36
Answer: A
Find the least number which when divided by 18,32,48,52 leaves remainder 14,28,44,48 respectively. Answer Choice: (A) 2845 (B) 3250 (C) 3740 (D) 4150 (E) 5140
Answer: C
If x is an even integer and y = 5x + 1, which of the following CANNOT be a divisor of y? Answer Choice: (A) 11 (B) 31 (C) 21 (D) 41 (E) 30
Answer: E
Find the compound interest and the amount on Rs.8000 at 5% per annum for 4 years when C.I is reckoned yearly? Answer Choice: (A) s.1261.05 (B) s.1440.05 (C) s.1185.05 (D) s.1346.05 (E) s.1724.05
Answer: E
M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 1.5. Q is a subset of M consisting of 5 terms. Exactly 80% of the numbers in Q are located within 2 standard deviations from the average of M. Which of the following could Q be? Answer Choice: (A) {3, 4, 5, 10, 14} (B) {3, 7, 7, 10, 12} (C) {3, 5, 5, 10, 16} (D) {1, 5, 7, 10, 18} (E) {5, 6, 7, 10, 12}
Answer: B
How many numbers from 10 to 50 are exactly divisible by 9? Answer Choice: (A) 9 (B) 10 (C) 11 (D) 12 (E) 14
Answer: E
3^11 + 3^11 + 3^11 = Answer Choice: (A) 3^12 (B) 3^13 (C) 3^30 (D) 9^10 (E) 9^30
Answer: A
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm? Answer Choice: (A) 600 (B) 881 (C) 767 (D) 261 (E) 121
Answer: A
Two family reunions are happening at the Taj hotel, the Oates reunion and the Hall reunion. All 150 guests at the hotel attend at least one of the reunions. If 70 people attend the Oates reunion and 52 people attend the Hall reunion, how many people attend both reunions? Answer Choice: (A)  2 (B)  5 (C)  10 (D)  16 (E)  28
Answer: E
A certain company has budgeted $1320 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $400, how much was the company under budget or over budget? Answer Choice: (A) $70 under budget (B) $30 under budget (C) $30 over budget (D) $70 over budget (E) $180 over budget
Answer: D
On his drive to work, Leo listens to one of three radio stations A, B or R. 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 R. If R is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 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) 0.09 (C) 0.417 (D) 0.657 (E) 0.9
Answer: D
For which of the following does n(a)−n(b)=n(a−b) for all values of a and b? Answer Choice: (A) n(x)=x^2 (B) n(x)=x/2 (C) n(x)=x+5 (D) n(x)=2x−1 (E) n(x)=|x|
Answer: B
How many factors greater than 50, which are multiples of 3, are possible in 8400? Answer Choice: (A) 41 (B) 31 (C) 21 (D) 11 (E) 01
Answer: C
How many seconds will a 500 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) 23 sec (B) 30 sec (C) 27 sec (D) 28 sec (E) 29 sec
Answer: B
If X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y? Answer Choice: (A) 3 1/13% (B) 3% (C) 3 11/13% (D) 4% (E) None of these
Answer: C
Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length? Answer Choice: (A) 2 <= 3x+4 <= 6 (B) 24 <= 34x+4 <= 6 (C) 2 <= 356x+4 <= 6 (D) 2 <= 378x+4 <= 6 (E) 2 <= 357x+4 <= 6
Answer: A
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions. Answer Choice: (A) 287 m (B) 704 m (C) 168 m (D) 278 m (E) 107 m
Answer: B
The speed of a car is 70 km in the first hour and 90 km in the second hour. What is the average speed of the car? Answer Choice: (A) 79 kmph (B) 80 kmph (C) 34 kmph (D) 23 kmph (E) 14 kmph
Answer: B
A loan has a variable interest rate that fluctuates between 7% and 10% of the base payment per month. If base payments remain at $300 each month and an additional monthly surcharge of 1% is added to the combined (base + interest), what would be the greatest possible payment due in any given month? Answer Choice: (A) $330.00 (B) $331.00 (C) $332.30 (D) $333.30 (E) $334.60
Answer: D
4 bells first begin to toll together with an intervals of 5, 10, 15 & 20 sec. How many times does they toll together in an hr? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90
Answer: B
Find 30 % of 240 Answer Choice: (A) 72 (B) 94 (C) 86 (D) 74 (E) 110
Answer: A
If X is to be chosen at random from the set {5,7,4,3,8} and Y is to be chosen at random from the set {6,3,4,2}, what is the probability that XY will be odd? Answer Choice: (A) 12 (B) 8 (C) 11 (D) 6 (E) 1
Answer: E
In an entrance exam, 3 marks is awarded for every correct answer and (-1) for every wrong answer. If a student gets 38 marks after attempting all questions, find the number of questions answered correctly if the total questions were 70. Answer Choice: (A) 38 (B) 40 (C) 27 (D) 43 (E) 56
Answer: C
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004? Answer Choice: (A) Sunday (B) Friday (C) Saturday (D) Monday (E) Tuesday
Answer: A
A box contains 6 black, 8 red and 4 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color? Answer Choice: (A) 49/153 (B) 18/153 (C) 49/153 (D) 40/153 (E) 24/72
Answer: A
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 3 years? Answer Choice: (A) 14300 (B) 17280 (C) 14500 (D) 14600 (E) 15400
Answer: B
There was a match to be held.And 100 nations were to participate in that match.It was totally an elimination match,that is if a team loses a match it must be eliminated.Find out the total number of matches played to find out the grand winner? Answer Choice: (A) 96 (B) 97 (C) 98 (D) 99 (E) 92
Answer: D
Find the missing figures :
?% of 60 = 2.125 Answer Choice: (A) 8.54 (B) 6.54 (C) 8.7 (D) 3.54 (E) 4.54
Answer: E
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word SUCCESS could be arranged to create a seven-letter code? Answer Choice: (A) 6! (B) 6! − (3! + 2!) (C) 7!/(3! × 2!) (D) 7!/(3! + 2!) (E) 8!/(2! x 2!)
Answer: C
The average of first 32 natural numbers is? Answer Choice: (A) 16.5 (B) 17.5 (C) 18.4 (D) 15.4 (E) 15.1
Answer: A
A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 8 km in stationary water Answer Choice: (A) 40 min (B) 1hr (C) 1hr 15 min (D) 1hr 30 min (E) 2 hr
Answer: E
A rectangular lawn of length 50 m and breadth 35 m is to be surrounded externally by a path which is 2 m wide. Find the cost of turfing the path at the rate of $3 per m². Answer Choice: (A) $1008 (B) $1031 (C) $1028 (D) $1068 (E) $1088
Answer: D
A boy can reach a certain place in 45 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed. Answer Choice: (A) 2 km/hr. (B) 6 km/hr (C) 8 km/hr (D) 14 km/hr (E) None of these
Answer: A
One-fourth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/20 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective? Answer Choice: (A) 4.4% (B) 5.5% (C) 6.6% (D) 11.3% (E) 16.2%
Answer: C
If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 6/15 Find P(B|A) Answer Choice: (A) 1/2 (B) 2/3 (C) 3 (D) 4/5 (E) 4/7
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train. Answer Choice: (A) 150 (B) 278 (C) 179 (D) 200 (E) 191
Answer: D
The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 7:8 then what is the number of visitors on the 5th day of the library? Answer Choice: (A) 17 (B) 17 (C) 64 (D) 19 (E) 01
Answer: C
A computer manufacturer produces a certain electronic component at a cost of $70 per component. Shipping costs for delivering the components are $4 per unit. Further, the manufacturer has costs of $14,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 250 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues? Answer Choice: (A) 132 (B) 138 (C) 144 (D) 128 (E) 116
Answer: A
The sum of three consecutive even numbers is 30. Find the middle number of the three? Answer Choice: (A) 14 (B) 16 (C) 18 (D) 25 (E) 34
Answer: D
If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is L: Answer Choice: (A) L=1 (B) L=2 (C) L=3 (D) L=4 (E) 5
Answer: B
The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 15 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera? Answer Choice: (A) $207 (B) $210 (C) $230 (D) $213 (E) $215
Answer: C
How many positive three-digit integers are divisible by both 3 and 7? Answer Choice: (A) 43 (B) 45 (C) 47 (D) 50 (E) 52
Answer: A
Three partners A,B,C start a business.A invested 3000 for 8 month,B invested
4000 for 9 month.and C invested 5000 for 1 years.at the end of year there is total profit of 15000 rs.what is profit share of B? Answer Choice: (A) 3000 (B) 4500 (C) 4000 (D) 4200 (E) 3500
Answer: B
If p/q = 5/4 , then 2p+q= ? Answer Choice: (A) 12 (B) 14 (C) 13 (D) 15 (E) 16
Answer: B
A sum of money at simple interest amounts to $ 815 in 3 years and to $854 in 4 years. The sum is: Answer Choice: (A) $153 (B) $698 (C) $398 (D) $549 (E) $675
Answer: B
When n is divided by 19, the remainder is 7. Find thee difference between previous remainder and the remainder when 18n is divided by 9 ? Answer Choice: (A) 7 (B) 5 (C) 0 (D) 3 (E) 9
Answer: A
There are 437 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital? Answer Choice: (A) 152 (B) 253 (C) 57 (D) 171 (E) 181
Answer: B
In how many ways can live boys and three girls sit in a row such that all boys sit together? Answer Choice: (A) 3877 (B) 2778 (C) 2880 (D) 2987 (E) 1231
Answer: C
What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 150? Answer Choice: (A) 10 (B) 25 (C) 50 (D) 75 (E) 100
Answer: D
Kiran has 85 currency notes in all, some of which were of Rs. 100 denomination and the
remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs.
5000. How much amount did she have in the denomination of Rs. 50?
A. B. C. None of these D.
Answer: Option B
Explanation: Answer Choice: (A) 1900 (B) 3500 (C) 4000 (D) 2000 (E) 2500
Answer: B
If 4 is the remainder when m is divided by 10, what is the remainder when 4m is divided by 10? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 0
Answer: C
If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 45 degrees? Answer Choice: (A) π (B) 3π/2 (C) 2π (D) 5π/2 (E) 8π
Answer: A
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be: Answer Choice: (A) 1 (B) 5 (C) 3 (D) 4 (E) 11
Answer: A
Find the fourth proportional to 2.4, 4.6 and 7.6? Answer Choice: (A) 14 (B) 14.56 (C) 15.14 (D) 15.17 (E) 15.26
Answer: B
Two goods trains each 250 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) 24 (B) 45 (C) 48 (D) 51 (E) 44
Answer: A
Find the sum of all 2 digit numbers divisible by 3. Answer Choice: (A) 1565 (B) 1665 (C) 1300 (D) 1448 (E) 1465
Answer: B
A restaurant serves 600 bowls of noodles for Rs. 12000 at a loss of Rs. 2 per bowl. Find the cost price for one bowl? Answer Choice: (A) 12 (B) 18 (C) 22 (D) 35 (E) 26
Answer: C
Entry fee is Re.1.there are 3 rides each is of Re.1. total boys entering are 3000.total income is Rs.7200. 800 students do all 3 rides. 1400 go for atleast 2 rides.none go the same ride twice. then no of students who do not go any ride is? Answer Choice: (A) 1328 (B) 1000 (C) 2378 (D) 8287 (E) 1872
Answer: B
A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work? Answer Choice: (A) 30 days (B) 20 days (C) 25 days (D) 35 days (E) 45 days
Answer: A
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is? Answer Choice: (A) 36.6 (B) 36.1 (C) 36.5 (D) 36.2 (E) 36.9
Answer: C
If Greg buys 3 shirts, 4 trousers and 2 ties, the total cost is $40. If Greg buys 7 shirts, 2 trousers and 2 ties, the total cost is $60. How much will it cost him to buy 3 trousers, 5 shirts and 2 ties? Answer Choice: (A) $50 (B) $64 (C) $75 (D) $96 (E) Cannot be determined
Answer: A
How many combinations of three letters taken from letters (a, b, b, c, c, d,d) are possible? Answer Choice: (A) 4C3+4 (B) 4C3+9 (C) 4C3+2 (D) 4C3 (E) 4C3+6
Answer: B
In how many ways can you seat 6 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end? Answer Choice: (A) 360 (B) 1720 (C) 2880 (D) 5040 (E) 10080
Answer: A
The area of a triangle is with base 8.4m and height 5.8m? Answer Choice: (A) 11.36 m2 (B) 10.36m2 (C) 18.36 m2 (D) 19.36 m2 (E) 24.36 m2
Answer: E
8 fruits are tpo kept on a table. A pair of oranges and apples must be kept together. in how many arrangements can the fruits be arranged? Answer Choice: (A) A.1296 (B) B.1850 (C) C.4200 (D) D.3546 (E) E.2880
Answer: E
What is the perimeter of a rectangular field whose diagonal is 5m and length is 4m ? Answer Choice: (A) 20 m (B) 15 m (C) 14 m (D) 10 m (E) 25 m
Answer: C
The average (arithmetic mean) of four different positive integers is 16. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer? Answer Choice: (A) 5 (B) 4 (C) 3 (D) 2 (E) 1
Answer: D
John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet? Answer Choice: (A) 1/16 (B) 1/12 (C) 1/8 (D) 1/6 (E) 1/3
Answer: B
Amber works 20 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay? Answer Choice: (A) m/(20d) (B) 20d (C) 10md/6 (D) 20d/m (E) 20md
Answer: C
Find the set of all points (x, y) such that the area of the triangle with vertices (0, 0), (6, 4) and (x, y) is 4. Answer Choice: (A) 3 (B) 9 (C) 7 (D) 8 (E) 2
Answer: D
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize? Answer Choice: (A) 2/7 (B) 3/7 (C) 4/8 (D) 9/2 (E) 3/8
Answer: A
The average of six numbers is S and the average of three of these is T.If the average of the remaining three is U, then Answer Choice: (A) S= T + U (B) 2S= T + U (C) S= 2T + 2U (D) None of these (E) Cannot ne determined
Answer: B
3889 + 15.952 - ? = 3854.002 Answer Choice: (A) 47.95 (B) 50.95 (C) 45.97 (D) 47.59 (E) 45.79
Answer: B
October 9, 2012, fell on a Tuesday. On which day of the week did June 25, 2013, fall? (Note: 2012 was a leap year.) Answer Choice: (A) Sunday (B) Monday (C) Tuesday (D) Wednesday (E) Thursday
Answer: C
When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 5, the quotient is 3y and the remainder is 4. What is the value of 4y – x ? Answer Choice: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2
Answer: C
Two sides of a triangle have lengths q and y and meet at a right angle. If the perimeter of the triangle is 4q, what is the ratio of q to y ? Answer Choice: (A) a) 2 : 3 (B) b) 3 : 4 (C) c) 4 : 3 (D) d) 3 : 2 (E) e) 2 : 1
Answer: B
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players? Answer Choice: (A) 1243 (B) 1345 (C) 1788 (D) 1346 (E) 1365
Answer: E
What is the minimum value of |x-4| + |x+2| + |x-5| ? Answer Choice: (A) -3 (B) 3 (C) 5 (D) 7 (E) 8
Answer: D
Which of the following ratios is greatest ? Answer Choice: (A) 7 :15 (B) 15 :23 (C) 17 :25 (D) 21 :29 (E) 1 : 2
Answer: D
If f(a)=a^2, what is the value of (f(a-b)−f(a))/b ? Answer Choice: (A) a (B) b (C) 2a (D) -2a + b (E) 2b - a
Answer: D
36.	A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h? Answer Choice: (A) 48 (B) 60 (C) 56 (D) 64 (E) 68
Answer: D
A vessel of capacity 2 litre has 20% of alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture? Answer Choice: (A) 31%. (B) 71%. (C) 49%. (D) 29%. (E) 28%.
Answer: E
Smita Was Making A Cube With Dimensions 5*5*5 Using 1*1*1 Cubes. What Is The Number Of Cubes Needed To Make A Hollow Cube Looking Of The Same Shape? Answer Choice: (A) 98 (B) 104 (C) 100 (D) 61 (E) 51
Answer: A
Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 15, 10, and 20 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates? Answer Choice: (A) 5/2 (B) 8/3 (C) 9/4 (D) 10/3 (E) 12/5
Answer: C
Alice walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk? Answer Choice: (A) 24 (B) 44 (C) 58 (D) 60 (E) 62
Answer: E
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B? Answer Choice: (A) 2500 (B) 3000 (C) 3500 (D) 4000 (E) 4500
Answer: A
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 1.5, 3.5, 5.5, 7.5, ... What number should come next? Answer Choice: (A) 4.7 (B) 3.6 (C) 9.5 (D) 5.0 (E) 4.4
Answer: C
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km? Answer Choice: (A) 660 m (B) 650 m (C) 570 m (D) 670 m (E) 680 m
Answer: D
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio? Answer Choice: (A) 21:22 (B) 7:8 (C) 2:1 (D) 21:24 (E) 14:16
Answer: A
Akhil's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees. Answer Choice: (A) 5 (B) 7 (C) 8 (D) 10 (E) 12
Answer: D
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 24 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: A
Find the compound interest on $15,624 for 9 months at 16% per annum compounded quarterly. Answer Choice: (A) $4152 (B) $1951 (C) $2258 (D) $8978 (E) $8875
Answer: B
Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP? Answer Choice: (A) Rs.320 (B) Rs.450 (C) Rs.550 (D) Rs.640 (E) Rs.680
Answer: C
In what time will a railway train 65 m long moving at the rate of 36 kmph pass a telegraph post on its way? Answer Choice: (A) 8 sec (B) 7 sec (C) 2 sec (D) 6.5 sec (E) 9 sec
Answer: D
In a group of 22 boys, 13 play basketball and 15 play football. 3 of the boys play neither. how many play both ? Answer Choice: (A) 18 (B) 20 (C) 21 (D) 22 (E) 25
Answer: A
If n is an integer and 5^n > 40,000,000, what is the least possible value of n? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: E
Suppose we have six marbles: 3 yellow marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible? Answer Choice: (A) 180 (B) 160 (C) 149 (D) 150 (E) 175
Answer: A
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings? Answer Choice: (A) 2 : 5 (B) 5 : 2 (C) 3 : 5 (D) 1 : 1 (E) None of these
Answer: D
There are 36 students in a certain geometry class. If two thirds of the students are boys and one half of the boys are under six feet tall, how many boys in the class are under six feet tall? Answer Choice: (A) 6 (B) 12 (C) 18 (D) 24 (E) 27
Answer: B
If 2^z is a factor of 22!, which of the following could be the value of z?
I. 22
II. 23
III. 24 Answer Choice: (A) I ​ only (B) II only (C) I​ and II (D) I, II, and III (E) None
Answer: E
A certain bacteria colony doubles in size every day for 25 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit? Answer Choice: (A) 6.33 (B) 7.5 (C) 10 (D) 15 (E) 24
Answer: E
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 70 percent of books that were loaned out are returned and there are 57 books in the special collection at that time, how many books of the special collection were loaned out during that month? Answer Choice: (A) 20 (B) 30 (C) 35 (D) 40 (E) 60
Answer: E
Which of the following numbers completes
the sequence 3, 8, 14, 21, 29,38, 48, ___? Answer Choice: (A) 35 (B) 36 (C) 37 (D) 59 (E) 89
Answer: D
The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is Answer Choice: (A) 27 (B) 29 (C) 11 (D) data inadequate (E) 28
Answer: D