loafeihong/math_mmlu_format huggingface dataset:
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is? Answer Choice: (A) 1/2 (B) 1/7 (C) 1/8 (D) 1/1 (E) 1/3
Answer: B
What is the probability that when a hand of 5 cards is drawn from a well shuffled deck of 52 cards,
it contains all Queens? Answer Choice: (A) 192/379017 (B) 192/379015 (C) 379015/192 (D) 1/379015 (E) 2/379015
Answer: B
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle? Answer Choice: (A) 10 (B) 16 (C) 15 (D) 15 (E) 12
Answer: A
For the past n days, the average (arithmetic mean) daily production at a company was 60 units. If today's production of 90 units raises the average to 65 units per day, what is the value of n ? Answer Choice: (A) 30 (B) 18 (C) 10 (D) 9 (E) 5
Answer: E
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock? Answer Choice: (A) 60 miles (B) 80 miles (C) 75 miles (D) 120 miles (E) 400 miles
Answer: C
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car. Answer Choice: (A) 873 (B) 838 (C) 960 (D) 838 (E) 939
Answer: C
The average earning of amechanic for the first 4days of a week is Rs.18 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is? Answer Choice: (A) Rs. 10 (B) Rs. 20 (C) Rs. 30 (D) Rs. 40 (E) Rs. 50
Answer: B
By selling 50 meters of cloth. I gain the selling price of 20 meters. Find the gain percent? Answer Choice: (A) 42 7/7% (B) 42 5/8% (C) 42 6/4% (D) 42 6/8% (E) 66 2/3%
Answer: E
A Sum of Rs.2600, is lent out in 2 parts SI at 10% for 5yrs is equal to SI on 2nd part at 9% rate for 6 yrs. find the ratio of parts. Answer Choice: (A) 23:21 (B) 27:25 (C) 25:27 (D) 23:29 (E) 21:19
Answer: B
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? Answer Choice: (A) 347 (B) 190 (C) 388 (D) 277 (E) 281
Answer: B
In a park there are two ponds with both brown ducks and green ducks. In the smaller pond there are 20 ducks and in the larger pond there are 80 ducks. If 20% of the ducks in the smaller pond are green and 15% of the ducks in the larger pond are green, then what percentage of ducks are green? Answer Choice: (A) 13% (B) 14% (C) 15% (D) 16% (E) 17%
Answer: D
At a party, everyone shook hands with everybody else. There were 66 handshakes.
How many people were at the party? Answer Choice: (A) 15 (B) 18 (C) 11 (D) 12 (E) 19
Answer: D
Find the area of the square, one of whose diagonals is 5.9 m long ? Answer Choice: (A) 37.14m^2 (B) 17.4m^2 (C) 8.96m^2 (D) 7.8m^2 (E) 27.14m^2
Answer: B
During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 40 miles per hour for the entire trip? Answer Choice: (A) 8.5% (B) 50% (C) 200/x% (D) 60/x% (E) 500/x%
Answer: C
ACME’s manufacturing costs for sets of horseshoes include a $22,450 initial outlay, and $30per set. They can sell the sets $70. If profit is revenue from sales minus manufacturing costs, and the company producessells 1000 sets of horseshoes, what was their profit? Answer Choice: (A) $16550 (B) $18550 (C) $17000 (D) $20550 (E) $17550
Answer: E
The inverse ratio of 9: 2: 1 is? Answer Choice: (A) 1:9:18 (B) 2:9:18 (C) 2:7:18 (D) 2:13:18 (E) 2:9:15
Answer: B
The price of a commodity was raised by 25%. So what is % amount of commodity would be reduced by family so that the amount spent on the commodity remains same Answer Choice: (A) 10% (B) 20% (C) 30% (D) 40% (E) 50%
Answer: B
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 1/4 of their value in 1990. By what percent did the value of the investment drop from 1992 to 1995? Answer Choice: (A) 62.5% (B) 25% (C) 33 1/3% (D) 50% (E) 66 2/3%
Answer: A
A train 300 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train? Answer Choice: (A) 5 sec (B) 9 sec (C) 12 sec (D) 18 sec (E) 19 sec
Answer: D
A trader has 1600 kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11% on the whole , find the quantity sold at 12%? Answer Choice: (A) 1000 (B) 1200 (C) 1400 (D) 1450 (E) 1500
Answer: B
The price of the jewel, passing through three hands, rises on the whole by 65%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller. Answer Choice: (A) 20 (B) 10 (C) 15 (D) 25 (E) 30
Answer: B
Juan is a gold medalist in athletics. In the month of May, if Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate? Answer Choice: (A) 10x/y (B) 11x/y (C) 9x/y (D) 12x/y (E) 13x/y
Answer: D
x^2 + dx + 72 = 0 has two distinct integer roots; how many values are possible for d? Answer Choice: (A) 3 (B) 6 (C) 8 (D) 12 (E) 24
Answer: D
1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum Q of the 24 integers ? Answer Choice: (A)  26,996 (B)  44,406 (C)  60,444 (D)  66,660 (E)  99,990
Answer: E
495 x 495 = ? Answer Choice: (A) 250000 (B) 250025 (C) 5000 (D) 245025 (E) 240000
Answer: D
An gun can take a maximum of four shotsat an enemyplane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired? Answer Choice: (A) 0.6976 (B) 0.7893 (C) 0.8212 (D) 0.7541 (E) 0.9847
Answer: A
If j and k are two positive integers and j/k = 1.05, then j can equal which one of the following? Answer Choice: (A)  15 (B)  21 (C)  20 (D)  22 (E)  23
Answer: B
It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 2 cms, How much did it rain on Wednesday? Answer Choice: (A) 10.9 (B) 7 (C) 10.2 (D) 10.1 (E) 10.6
Answer: B
A rectangular grass field is 95 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? Answer Choice: (A) 1350 (B) 1550 (C) 9676 (D) 1679 (E) 2691
Answer: B
Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 360 pastries ? Answer Choice: (A) 6 hours. (B) 1 hours. (C) 5 hours. (D) 4 hours. (E) 3 hours.
Answer: A
In a simultaneous throw of pair of dice .find the probability of getting the total more than 7 Answer Choice: (A) 3/7 (B) 12/5 (C) 5/12 (D) 5/7 (E) 2/5
Answer: C
ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $52.00. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit? Answer Choice: (A) $20,380.75 (B) $30,943.25 (C) $41,308.50 (D) $51,817.50 (E) $53,624.25
Answer: A
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man? Answer Choice: (A) 22 (B) 35 (C) 56 (D) 70 (E) 105
Answer: D
The average (arithmetic mean) of the integers from 100 to 200, inclusive, is how much lesser than the average of the integers from 150 to 950, inclusive? Answer Choice: (A)  350 (B)  475 (C)  300 (D)  425 (E)  400
Answer: E
In a throw of dice what is the probability of getting number greater than 5 Answer Choice: (A) 1/2 (B) 1/3 (C) 1/5 (D) 1/6 (E) None of these
Answer: D
Points A and B are both in the line segment PQ and on the same side of its midpoint. A divides PQ in the ratio 2:3, and B divides PQ in the ratio 3:4. If AB=2, then the length of PQ is: Answer Choice: (A) 70 (B) 75 (C) 80 (D) 85 (E) 90
Answer: A
Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna, Lena or Jake can drive, how many seat allocations are possible? Answer Choice: (A) 30 (B) 42 (C) 120 (D) 360 (E) 1080
Answer: E
In a six-sided polygon EQRSTV ∠E measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠E equal to, in degrees? Answer Choice: (A)  72 (B)  80 (C)  88 (D)  96 (E)  104
Answer: B
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class. Answer Choice: (A) 48.0 (B) 48.55 (C) 49.05 (D) 49.0 (E) 45.0
Answer: B
When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.? Answer Choice: (A) 4.5 (B) 5 (C) 5.5 (D) 5.8 (E) 6
Answer: A
At a certain organisation, the number of male members went up by 12% in the year 2001 from year 2000, and the number of females members went down by 4% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000? Answer Choice: (A) 1:2 (B) 1:3 (C) 2:3 (D) 3:2 (E) 2:1
Answer: A
Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 8 hours to paint a wall with dimensions a and c. He takes 4 hours to paint a wall with dimensions b and c and 12 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 7, then what is the volume of the room? Answer Choice: (A) 18 cubic meters (B) 24 cubic meters (C) 30 cubic meters (D) 36 cubic meters (E) 57.1 cubic meters
Answer: E
A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.20 per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy? Answer Choice: (A) $94.03 (B) $96.75 (C) $98.68 (D) $102.07 (E) $105.3
Answer: C
The length of a rectangle is reduced by 22%. By what % would the width have to be increased to maintain the original area? Answer Choice: (A) 14% (B) 15% (C) 28% (D) 30% (E) 35%
Answer: C
A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 70 meters, what is the height of the building (in meters)? Answer Choice: (A) 20 (B) 24 (C) 28 (D) 32 (E) 36
Answer: C
A 160 meter long train crosses a man standing on the platform in 4 sec. What is the speed of the train? Answer Choice: (A) 176 kmph (B) 144 kmph (C) 176 kmph (D) 134 kmph (E) 161 kmph
Answer: B
The price of the jewel, passing through three hands, rises on the whole by 68%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller. Answer Choice: (A) 20 (B) 12 (C) 15 (D) 25 (E) 30
Answer: B
Kamal bought a house, whose sale price was Rs. 8 lakh. He availed 20% discount as an early bird offer and then 10% discount due to cash payment. After that he spent 10% of the cost price in interior decoration and lawn of the house. At what price should he sell the house to earn a profit of 25%? Answer Choice: (A) Rs. 9 lakh (B) Rs. 7.99 lakh (C) Rs. 7.92 lakh (D) Rs. 7 lakh (E) None of These
Answer: C
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? Answer Choice: (A) 2/3 (B) 3/4 (C) 7/19 (D) 8/21 (E) None
Answer: D
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 3,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride? Answer Choice: (A) 6.43% (B) 6.89% (C) 7.69% (D) 8.21% (E) 8.75%
Answer: C
If x and y are two different prime numbers, which of the following cannot be true? Answer Choice: (A) xy is odd. (B) x + y is even. (C) x + y is odd (D) xy is even (E) x/y is an integer
Answer: E
What is the principal sum?
I. The sum amounts to Rs. 690 in 3 years at S.I.The rate of interest is 5% p.a.
II. The sum amounts to Rs. 750 in 5 years at S.I.The rate of interest is 7% p.a.
III. The sum amounts to Rs. 580 in 3 years at S.I. The rate of interest is 6% p.a. Answer Choice: (A) I and III only (B) II and III only (C) I and II only (D) Any two of the three (E) Any one of the above
Answer: E
What was the day on 15th august 1947 ? Answer Choice: (A) Friday (B) Monday (C) Wednesday (D) Thursday (E) Sunday
Answer: A
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 0vers to reach the target of 282 runs? Answer Choice: (A) 6.25 (B) 6.5 (C) 6.75 (D) 7 (E) None
Answer: A
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 6 muffins remained. How many guests did Monica plan on? Answer Choice: (A) 3. (B) 4. (C) 2. (D) 6. (E) 7.
Answer: C
The distance light travels in one year is approximately 5,880,000,000,000 miles. The distance light travels in 100 years is Answer Choice: (A) A) 587 × 108 miles (B) B) 587 × 1010 miles (C) C) 587 × 10-10 miles (D) D) 588 × 1012 miles (E) E) 587 × 10-12 miles
Answer: D
what is the angle between the hands of a clock when time is 16:40? Answer Choice: (A) 625deg (B) 420deg (C) 145deg (D) 150deg (E) 300deg
Answer: B
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? Answer Choice: (A) 175 (B) 185 (C) 165 (D) 155 (E) 125
Answer: A
During the months May through October, Teddy the bear triples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976? Answer Choice: (A) 9m−1300 (B) 9m−300 (C) 4m−1200 (D) 3m−300 (E) m−1300
Answer: A
Stephanie wants to buy lipsticks. Each lipstick costs $20. How much will she pay if she decides to buy 5 lipsticks? Answer Choice: (A) $500 (B) $100 (C) $20 (D) $10 (E) 0
Answer: B
The distance between A&B is 600km. A person is traveling from A to B at 80km/hr started at 11AM and another person is traveling from B to A at 70km/hr and started at same time. Then at what time they meet together.? Answer Choice: (A) A)2PM (B) B)4PM (C) C)1PM (D) D)3PM (E) E)5PM
Answer: D
There are two concentric circles with radii 6 and 4. If the radius of the outer circle is increased by 50% and the radius of the inner circle decreased by 25%, by what percent does the area between the circles increase? Answer Choice: (A) 160 (B) 210 (C) 260 (D) 310 (E) 360
Answer: C
During the first two weeks of January, the total rainfall in Springdale was 40 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January? Answer Choice: (A) 5 inches (B) 6 inches (C) 9 inches (D) 10 inches (E) 24inches
Answer: E
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is? Answer Choice: (A) 25/42 (B) 25/421 (C) 35/42 (D) 25/82 (E) 23/42
Answer: A
Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination? Answer Choice: (A) 90 (B) 250 (C) 75 (D) 85 (E) None of these
Answer: D
Two pipes A and B can fill a tank in 18 hours and 24 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank? Answer Choice: (A) 20 hours (B) 15 hours (C) 10 hours (D) 10 2/7 hours (E) 8 hours
Answer: D
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers? Answer Choice: (A) 3 (B) 5 (C) 9 (D) 8 (E) 2
Answer: B
Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3? Answer Choice: (A) 3/11 (B) 3/7 (C) 3/10 (D) 2/5 (E) 2/7
Answer: C
9548 + 7314 = 8362 + (?) Answer Choice: (A) 8300 (B) 8400 (C) 8500 (D) 8700 (E) 9000
Answer: C
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.04 for operating-system overhead, $0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ? Answer Choice: (A)  $39.89 (B)  $48.87 (C)  $58.96 (D)  $65.57 (E)  $69.92
Answer: A
Reema took a loan of Rs 1500 with simple interest for as many years as the rate of interest. If she paid Rs. 735 as interest at the end of the loan period, what was the rate of interest. Answer Choice: (A) 5% (B) 6% (C) 7% (D) 8% (E) 9%
Answer: C
The tax on a commodity is diminished by 30% but its consumption is increased by 20%. Find the decrease percent in the revenue derived from it? Answer Choice: (A) 18% (B) 72% (C) 32% (D) 16% (E) 52%
Answer: D
If y exceeds x by 20%, then x is less than y by? Answer Choice: (A) 16 2/7% (B) 16 2/8% (C) 16 2/3% (D) 16 2/9% (E) 16 2/13%
Answer: C
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long? Answer Choice: (A) 2 mins (B) 3 mins (C) 9 mins (D) 8 mins (E) 6 mins
Answer: B
Scott's average (arithmetic mean) golf score on his first four rounds was 18.What score does he need on his fifth round to drop his average score by 2 points? Answer Choice: (A) 68 (B) 72 (C) 8 (D) 88 (E) 312
Answer: C
In a hockey league there are 10 teams. Each team plays every other team once. If we can play 5 games every week, how many weeks long is one season? Answer Choice: (A) 8 (B) 9 (C) 18 (D) 20 (E) 22
Answer: B
The jogging track in a sports complex is 627 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in? Answer Choice: (A) 4.56 min (B) 5.28 min (C) 5.08 min (D) 9.28 min (E) 5.988 min
Answer: A
A train passes a platform in 35 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is Answer Choice: (A) 280 meter (B) 240 meter (C) 225 meter (D) 200 meter (E) None of these
Answer: C
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is? Answer Choice: (A) 110 km/hr (B) 145 km/hr (C) 151 km/hr (D) 180 km/hr (E) 120 km/hr
Answer: E
Having scored 99 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings? Answer Choice: (A) 28 (B) 27 (C) 26 (D) 22 (E) 24
Answer: B
An investor deposited $5,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened? Answer Choice: (A) $5300.50 (B) $5304.50 (C) $5405.50 (D) $5604.50 (E) $5805.50
Answer: B
Car A runs at the speed of 55 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 70 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B? Answer Choice: (A) 3 : 7 (B) 4 : 9 (C) 11 : 7 (D) 5 : 7 (E) 6 : 11
Answer: C
Can anyhow help me with an easy solution for this
2, 7, 36, 4, 14, 225, 6, 21, ? Answer Choice: (A) 576 (B) 476 (C) 376 (D) 276 (E) 676
Answer: A
Simple interest on a certain sum of money for 2 years at16% per annum is one fourth the compound interest on Rs. 4000 for 2 years at 8% per annum. The sum placed on simple interest is Answer Choice: (A) Rs.4000 (B) Rs.665.6 (C) Rs.520 (D) Rs.166.4 (E) None
Answer: C
Each week, Harry is paid x dollars per hour for the first 35 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ? Answer Choice: (A) 35 (B) 36 (C) 34 (D) 38 (E) 39
Answer: C
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days? Answer Choice: (A) 7.75 days (B) 2.75 days (C) 5.75 days (D) 3.75 days (E) 8.75 days
Answer: D
Find the distance covered by a man walking for 30min at a speed of 10km/hr? Answer Choice: (A) 1km (B) 3km (C) 4km (D) 5km (E) 6km
Answer: D
How many possible integer values are there for x if |x - 3| < 6 ? Answer Choice: (A) One (B) Two (C) Three (D) eleven (E) Five
Answer: D
Find the odd man out
2886, 480, 96, 24, 8, 4, 4 Answer Choice: (A) 480 (B) 96 (C) 24 (D) 8 (E) 2886
Answer: E
’A’ sold an article to ’B’ at a profit of 20%. ’B’ sold the same article to ’C’ at a loss of 25% and ’C’ sold the same article to ’D’ at a profit of 40%. If ’D’ paid Rs 252 for the article, then find how much did ’A’ pay for it? Answer Choice: (A) Rs 175 (B) Rs 200 (C) Rs 180 (D) Rs 210 (E) Rs 230
Answer: B
A starts a business with a capital of Rs. 30,000. B joins in the business with Rs.12000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1? Answer Choice: (A) 5 months (B) 6 months (C) 7 months (D) 10 months (E) None of these
Answer: D
If â€œ*â€ is called â€œ+â€, â€œ/â€ is called â€œ*â€, â€œ-â€ is called â€œ/â€, â€œ+â€ is called â€œ-â€. 240-80 / 60 - 40 * 10 = ? Answer Choice: (A) 14.5 (B) 13.5 (C) 12.5 (D) 17.5 (E) 11.5
Answer: A
The tax on a commodity is diminished by 30% but its consumption is increased by 15%. Find the decrease percent in the revenue derived from it? Answer Choice: (A) 20% (B) 18% (C) 15% (D) 12% (E) 14%
Answer: A
Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages? Answer Choice: (A) 33 (B) 67 (C) 29 (D) 31 (E) 35
Answer: E
A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability E that the sum of the two integers will equal 9 ? Answer Choice: (A)  0.15 (B)  0.20 (C)  0.25 (D)  0.30 (E)  0.33
Answer: B
Two digits in John's age are the same as the digit in the Wilson's age, but in reverse order. In 21 years John will be twice as old as Wilson will be then. what is the difference in their current age ? Answer Choice: (A) 25 (B) 43 (C) 14 (D) 36 (E) 12
Answer: D
The function f is defined for all positive integers x by the following rule. f(x) is the number of positive integers each of which is less than x and has no positive factor in common with x other than 1. If p is any prime, number then f(p)= Answer Choice: (A) 2 (B) p-2 (C) (p+1)/2 (D) (p-1)/2 (E) p-1
Answer: E