loafeihong/math_mmlu_format huggingface dataset:
A and B started a business with initial investments in the ratio 12 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ? Answer Choice: (A) 42 months (B) 8 months (C) 9 months (D) 5 months (E) 7 months
Answer: A
What is the perimeter of a square field whose diagonal is 8√2? Answer Choice: (A) 33 (B) 32 (C) 88 (D) 99 (E) 221
Answer: B
What are the last two digits of 5in2007th ? Answer Choice: (A) 75 (B) 65 (C) 55 (D) 25 (E) 05
Answer: D
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor? Answer Choice: (A) 16 (B) 13 (C) 18 (D) 11 (E) 19
Answer: C
In Orange County one sixth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County? Answer Choice: (A) 60. (B) 42. (C) 85. (D) 140. (E) 252.
Answer: B
Pipe A can empty a tank in 12 hrs and pipe B can empty it in 24 hrs. If both the pipes are opened to empty in the fully filled tank . In how many hours will it be emptied tank? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: C
Sum of two numbers is 25 and their difference is 13. Find their product. Answer Choice: (A) 104 (B) 108 (C) 114 (D) 124 (E) 142
Answer: C
Of the families in City X in 1998, 20 percent owned a personal computer. The number of families in City X owning a computer in 2002 was 40 percent greater than it was in 1998, and the total number of families in City X was 8 percent greater in 2002 than it was in 1998. what percent of the families in City X owned a personal computer in 2002? Answer Choice: (A) 49.66% (B) 52.66% (C) 28.22% (D) 33.33% (E) 25.92%
Answer: E
What is the remainder when 617 + 1176 is divided by 7? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
What percent of 60 is 100? Answer Choice: (A) 133 1⁄3 (B) 75 (C) 166.66 (D) 33 1⁄3 (E) 25
Answer: C
If the average of ten numbers is 50, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 50 Answer Choice: (A) I (B) II (C) III (D) all three options (E) I&II
Answer: D
The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 7 (E) 8
Answer: A
If a and b are positive integers, and a=20b-15, the greatest common divisor of a and b CANNOT be Answer Choice: (A) 1 (B) 3 (C) 18 (D) 15 (E) 5
Answer: C
If an article with marked price of $600 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay? Answer Choice: (A) 360 (B) 300 (C) 230 (D) 342 (E) 320
Answer: D
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 4 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 6 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again? Answer Choice: (A) 16:00. (B) 18:00 (C) 20:00 (D) 22:00. (E) 24:00.
Answer: E
If x > 0, x/25 + x/20 is what percent of x? Answer Choice: (A) 5% (B) 25% (C) 37 1/2% (D) 60% (E) 75 %
Answer: A
If a is an integer greater than 2 but less than 7 and b is an integer greater than 4 but less than 13, what is the range of a/b? Answer Choice: (A) 23/34 (B) 57/60 (C) 51/67 (D) 19/71 (E) 75/64
Answer: B
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is? Answer Choice: (A) 150 (B) 377 (C) 297 (D) 266 (E) 971
Answer: A
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the T % profit made by the merchant? Answer Choice: (A) 66.67 % (B) 50 % (C) 200 % (D) 100 % (E) 33.33 %
Answer: A
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P? Answer Choice: (A) 60 km/hr (B) 70 km/hr (C) 120 km/hr (D) Data inadequate (E) None of these
Answer: B
Two heavily loaded sixteen-wheeler transport trucks are 940 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway? Answer Choice: (A) 90 (B) 130 (C) 150 (D) 140 (E) 450
Answer: D
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 20 km/hr. Find the total journey in km. Answer Choice: (A) 220 km (B) 224 km (C) 230 km (D) 232 km (E) 200 km
Answer: E
A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 21 gallons of gasoline? Answer Choice: (A) 190 (B) 284.6 (C) 300 (D) 256 (E) 312
Answer: D
What is the difference between the place value and face value of 4 in the numeral 46? Answer Choice: (A) 36 (B) 45 (C) 52 (D) 44 (E) 39
Answer: A
Which of the following are roots of an equation (x^-2)+(x^-1)-20=0 Answer Choice: (A) 1/5 and -1/4 (B) -1/5 and 1/4 (C) 1/5 and 1/4 (D) -1/5 and -1/4 (E) -5/2 and -1/4
Answer: B
Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in? Answer Choice: (A) 17 hours (B) 12 hours (C) 18 hours (D) 10 hours (E) 97 hours
Answer: B
A librarian has a set of eleven books, including four different books about Abraham Lincoln. The librarian wants to put the eleven books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other seven books. How many different arrangements of the eleven books are possible? Answer Choice: (A) (11!)/(4!) (B) (4!)(7!) (C) (4!)(8!) (D) (4!)(11!) (E) (4!)(7!)(11!)
Answer: C
If the cost price of 26 apples is equal to the selling price of 20 apples, the gain percent is Answer Choice: (A) 25 (B) 30 (C) 35 (D) 40 (E) 45
Answer: B
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $126 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings? Answer Choice: (A) 600 (B) 720 (C) 1080 (D) 1200 (E) 1440
Answer: D
Weights of two friends Ram and Shyam are in the ratio 2:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased? Answer Choice: (A) 17% (B) 10% (C) 21% (D) 16% (E) None
Answer: A
A cubical block of metal weighs 8 pounds. How much will another cube of the same metal weigh if its sides are twice as long? Answer Choice: (A) 48 (B) 32 (C) 24 (D) 18 (E) 64
Answer: E
Of the 500 people attending a conference, 240 have signed up for the Marketing workshop and 400 have signed up for the Accounting workshop. If 80 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is: Answer Choice: (A) 170 (B) 220 (C) 250 (D) 275 (E) 300
Answer: B
If each data point in a certain set Q is increased by a factor of 9, what happens with the set's standard deviation? Answer Choice: (A) Doesn't Change (B) Increases by Factor 9 (C) Decreases by Factor 9 (D) Increases by 9 (E) Can't be determined
Answer: B
Each truck from Rubins Removal Company can haul 1500 pounds of trash at a time.
On Wednesday the company has jobs to remove 10,500 pounds of trash from one
site, 500 from another site, and 4,000 from a third site. How many total pounds of
trash will be moved by Jones Company that day? How many trips will it take for the
Jones Company to remove all of the trash? Answer Choice: (A) 5500 lbs.-2 Trips (B) 4500 lbs.-9 Trips (C) 15000 lbs.-10 Trips (D) 3500 lbs.-7 Trips (E) 6500 lbs.-8 Trips
Answer: C
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? Answer Choice: (A) Rs.1261 (B) Rs.1440 (C) Rs.1185 (D) Rs.1346 (E) Rs.1400
Answer: A
A shirt goes on sale for 90% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price? Answer Choice: (A) 72% (B) 81% (C) 52% (D) 50% (E) 28%
Answer: B
John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4202. What is the difference between Rose ’s and Tom ’s share in the profit? Answer Choice: (A) s.340 (B) s.362 (C) s.370 (D) s.382 (E) s.390
Answer: D
A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 20% less than B, and C costs 25% less than A,and D costs 20% less than C what percent of B's cost is D? Answer Choice: (A) 40% (B) 38% (C) 44% (D) 36% (E) 48%
Answer: E
The average expenditure of a labourer for 7 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is Answer Choice: (A) 70.11 (B) 72.02 (C) 86.5 (D) 78.2 (E) None of the above
Answer: C
A is a set containing 8 different numbers. B is a set containing 7 different numbers, all of which are members of A . Which of the following statements CANNOT be true? Answer Choice: (A)  The range of A is less than the range of B. (B)  The mean of A is greater than the mean of B . (C)  The range of A is equal to the range of B. (D)  The mean of A is less than the mean of B. (E)  The mean of A is equal to the mean of B.
Answer: A
How many figures are required to number the pages the pages of a book containing 365 pages? Answer Choice: (A) 987 (B) 977 (C) 967 (D) 897 (E) 997
Answer: A
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 4 hours? Answer Choice: (A) 240X/Y. (B) 120X/Y. (C) 60Y/X. (D) 120Y/X. (E) (X + Y)/60.
Answer: A
The perimeters of two squares are 40 cm and 36 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares . Answer Choice: (A) 17.6 cm (B) 24 cm (C) 26 cm (D) 28 cm (E) 29 cm
Answer: A
A group of 10 representatives is to be selected out of 14 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors? Answer Choice: (A) 14C₅ * 10 (B) 14C₇ * 10 (C) 14C9 * ¹⁰C₅ (D) 12 * ¹⁰C₅ (E) None of these
Answer: C
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office? Answer Choice: (A) 8km/h (B) 9km/h (C) 10km/h (D) 12km/h (E) 14km/h
Answer: A
In how many ways can you sit 8 people on a bench if 3 of them must sit together? Answer Choice: (A) 720 (B) 2,160 (C) 2,400 (D) 4,320 (E) 40,320
Answer: D
By investing in 16 % stock at 64, one earns Rs. 1500. The investment made is? Answer Choice: (A) 2288 (B) 2877 (C) 5760 (D) 7636 (E) 5728
Answer: C
Find the area of circle whose radius is 5.5m? Answer Choice: (A) 138 (B) 95.1 (C) 288 (D) 280 (E) 371
Answer: B
How many positive integers less than 25 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4? Answer Choice: (A) 27 (B) 25 (C) 24 (D) 22 (E) 20
Answer: E
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? Answer Choice: (A) 1055 (B) 1075 (C) 1065 (D) 1070 (E) 1080
Answer: A
In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond? Answer Choice: (A) 400 (B) 625 (C) 1250 (D) 2500 (E) 1000
Answer: E
Compound interest of Rs.1000 at 10% per annum for 1 1/2years will be (interest compounded half yearly). Answer Choice: (A) Rs.473 (B) Rs.374 (C) Rs.495 (D) Rs.157 (E) None of the above
Answer: D
Sripad has scored average of 67 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ? Answer Choice: (A) 85 (B) 28 (C) 38 (D) 27 (E) 21
Answer: A
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Seven years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years? Answer Choice: (A) Can't be determined (B) 56 (C) 27 (D) 24 (E) None of these
Answer: B
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.4 m and its walls are 5 cm thick. The thickness of the bottom is: Answer Choice: (A) 90 cm (B) 4 dm (C) 1 m (D) 1.1 cm (E) None of these
Answer: B
If x≠5 and (x^2 - 25)/(2y) = (x - 5)/4, then in terms of y, x = ? Answer Choice: (A) (y - 6)/2 (B) (y - 10)/2 (C) y - 3 (D) y - 6 (E) (y + 6)/2
Answer: B
A, B and C started a business with a total investment of Rs. 90000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find C's share. Answer Choice: (A) Rs. 3240 (B) Rs. 2520 (C) Rs. 2880 (D) Rs. 3360 (E) None of these
Answer: C
How many three digit numbers that do not contain the digit 2 are there? Answer Choice: (A) 100 (B) 200 (C) 512 (D) 648 (E) 729
Answer: D
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 16000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is: Answer Choice: (A) 23 (B) 19 (C) 22 (D) 35 (E) 21
Answer: D
For how many integers n is 2^x = n^x ? Answer Choice: (A) None (B) One (C) Three (D) Two (E) More than Three
Answer: D
What is the dividend. divisor 14, the quotient is 12 and the remainder is 8 Answer Choice: (A) 175 (B) 176 (C) 177 (D) 178 (E) 179
Answer: B
When n is divided by 25, the remainder is 4. What is the remainder when n + 15 is divided by 5? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
A train 140 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Answer Choice: (A) 13 km/hr (B) 55.4 km/hr (C) 17 km/hr (D) 18 km/hr (E) 12 km/hr
Answer: B
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is: Answer Choice: (A) 10m (B) 245m (C) 25m (D) 18m (E) 12m
Answer: B
A train is 700 meter long is running at a speed of 21 km/hour. In what time will it pass a bridge of 130 meter length? Answer Choice: (A) 142.286 (B) 251.228 (C) 34 (D) 200 (E) 150.627
Answer: A
Find large number from below question The difference of two numbers is 1000. On dividing the larger number by the smaller, we get 10 as quotient and the 10 as remainder Answer Choice: (A) 1234 (B) 1110 (C) 1456 (D) 1200 (E) 1600
Answer: B
Of the science books in a certain supply room, 30 are on botany, 45 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science? Answer Choice: (A) 125 (B) 180 (C) 236 (D) 284 (E) 311
Answer: D
Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 360 feet in circumference.After how many minutes are the three of them together again? Answer Choice: (A) 6 mins (B) 10 mins (C) 15 mins (D) 3 mins (E) 7 mins
Answer: A
A fair coin is tossed 5 times. What is the probability of getting more heads than tails in 5 tosses? Answer Choice: (A) 1/2 (B) 63/128 (C) 4/7 (D) 61/256 (E) 63/64
Answer: A
Gary drove from point A to point B at 60 Km/h. On his way back he took a train travelling at 110 Km/h and therefore his trip back lasted 5 hours less. What is the distance (in Km) between A and B? Answer Choice: (A) 600. (B) 630. (C) 660. (D) 690. (E) 720.
Answer: C
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction D of the area of triangle ABC is the area of triangle XYZ? Answer Choice: (A)  1/9 (B)  1/8 (C)  1/6 (D)  1/5 (E)  1/3
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 54 km/hr. What is the length of the platform? Answer Choice: (A) 229 (B) 240 (C) 288 (D) 277 (E) 221
Answer: B
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is? Answer Choice: (A) 24 kg (B) 62 kg (C) 34 kg (D) 31 kg (E) 37 kg
Answer: D
A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/3, and the probability of selecting a blue paper clip is 3/5. What is the probability of selecting a silver paper clip? Answer Choice: (A)  1/12 (B)  2/15 (C)  7/15 (D)  3/4 (E)  11/15
Answer: B
One hour before John started walking from P to Q, a distance of 38 miles, Ann had started walking along the same road from Q to P. Ann walked at a constant speed of 3 miles per hour and John at 2 miles per hour. How many miles had Ann walked when they met? Answer Choice: (A) 6 miles (B) 8,4 miles (C) 19 miles (D) 19,6 miles (E) 24 miles
Answer: E
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 2x km. Answer Choice: (A) 16kmph (B) 20kmph (C) 25kmph (D) 30kmph (E) 35kmph
Answer: A
A1, A2 and A3 enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After 4 months, A1 increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then A2's share in the profit is: Answer Choice: (A) 3000 (B) 3200 (C) 3450 (D) 4000 (E) 3570
Answer: D
A lady builds 10cm length, 18cm width, and 4cm height box using 12cubic cm cubes. What is the minimum number of cubes required to build the box? Answer Choice: (A) 107 (B) 70 (C) 78 (D) 60 (E) 111
Answer: D
At a local supermarket, a box of cereal usually costs 18 dollars. This week, the supermarket sells the box of cereal for 12 dollars. How much money will you save if you buy this cereal at this supermarket? Answer Choice: (A) 5 dollars (B) 3 dollars (C) 6 dollars (D) 2 dollars (E) 4 dollar
Answer: C
A person covered one-fourth of the total distance at 20 kmph and remaining distance at 24 kmph. What is the average speed for the total distance? Answer Choice: (A) 21 (6/7)kmph (B) 22 (6/7)kmph (C) 21 (7/3)kmph (D) 27 (6/7)kmph (E) 21 (1/8)kmph
Answer: B
3 Years ago, the average age of a family of 5 members was 16 years. A baby having been born, the average age of the family is the same today. The present age of the baby is Answer Choice: (A) 1 year. (B) 1.5 Years. (C) 2 Years. (D) 3 Years. (E) 4 Years.
Answer: A
After spending 40 percent machinery, 25 percent inbuilding , 15 percent in raw material and 5 percent on furniture. John had a balance of Rs.1305. Total money with him was? Answer Choice: (A) 7600 (B) 8700 (C) 9000 (D) 9200 (E) 9400
Answer: B
Which of the following CAN be the least common multiple of two positive integers 4 and 6? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 10 (E) 12
Answer: E
Last year, sales at Company Zora were 12% greater in February than in January, 15% less in March than in Feb, 30% greater in April than in March, 10% less in May than in April, and 5% greater in June than in May. In which month were sales closest to Jan? Answer Choice: (A) April (B) March (C) May (D) Feb (E) June
Answer: B
A salesman's income consists of a commission and a base salary of $450 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period? Answer Choice: (A) $150 (B) $245 (C) $365 (D) $715 (E) $265
Answer: E
From 6 officers and 10 clerks in how many can 5 be chosen to include exactly one officer? Answer Choice: (A) 1452 (B) 1562 (C) 2456 (D) 1260 (E) 660
Answer: D
Sally, Mark, Sarah, Steve and Jim are inheriting the money from their grandmother. She left them $527,500 to split equally between all of them. If the money is split equally, how much money will each person receive? Answer Choice: (A) $135,875 (B) $52,700 (C) $127,900 (D) $105,500 (E) $105,000
Answer: D
Every day Daniel drives 96 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent? Answer Choice: (A) 10% (B) 20% (C) 30% (D) 40% (E) 50%
Answer: E
When positive integer N is divided by positive integer D, the quotient is 16, with a remainder of 7. When N is divided by (D + 2), the quotient is 15 and the remainder is 1. What is the value of N? Answer Choice: (A) 151 (B) 391 (C) 511 (D) 691 (E) 871
Answer: B
R campers fished for 4 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour? Answer Choice: (A) 2m + n(R-m) (B) (2m + n(R-m))/3 (C) (2m + n(m-R))/3 (D) (2m + n)/3 (E) (2m + n)/4
Answer: E
If f(2, 4) = 24 and f(1, 5) = 26, what is the value of f(2, 10)? Answer Choice: (A) 107 (B) 127 (C) 147 (D) 108 (E) Cannot be determined
Answer: D
In a garden, there are three blue flowers, three red flowers, three green flowers, and three pink flowers. What is the probability that a florist will choose two flowers of the same color when randomly picking three flowers? Answer Choice: (A) 11/10 (B) 1/55 (C) 31/10 (D) 3/55 (E) 2/11
Answer: E
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 300 girls, the total number of
students in the college is Answer Choice: (A) 420 (B) 520 (C) 780 (D) 620 (E) None of these
Answer: C
What is the least number of digits (including repetitions) needed to express 10^400 in decimal notation? Answer Choice: (A) a) 401 (B) b) 100 (C) c) 101 (D) d) 1000 (E) e) 1001
Answer: A
The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 17 positive perfect squares? Answer Choice: (A) 1,010 (B) 1,164 (C) 1,240 (D) 1,316 (E) 1,785
Answer: E
A can give B 50 meters start and C 100 meters start in a kilometer race. How much start can B give C in a kilometer race? Answer Choice: (A) 111.12 (B) 111.67 (C) 111.64 (D) 52.63 (E) 101.12
Answer: D
A powder tin has a square base with side 8 cm and height 14 cm. Another tin has a circular base with diameter 8 cm and height 14 cm. The difference in their capacities is : Answer Choice: (A) 168 cm³ (B) 192 cm³ (C) 228 cm³ (D) 236 cm³ (E) None
Answer: B
The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum? Answer Choice: (A) 8 (B) 2 (C) 9 (D) 4 (E) 6
Answer: A
0, 1, 4, 15, 64, ____ Answer Choice: (A) 225 (B) 325 (C) 125 (D) 145 (E) none
Answer: B
Mangala completes a piece of work in 14 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is? Answer Choice: (A) 8 3/4 days (B) 10 1/2 days (C) 9 1/2 days (D) 12 1/4 days (E) 14 1/4 days
Answer: C