loafeihong/math_mmlu_format huggingface dataset:
Aishwarya was first to board to her flight to delhi.
She forgot her seat number and picks a random seat for herself.
After this, every single person who get to the flight sits on his seat if its available else chooses any available seat at random.
Abhishek is last to enter the flight and at that moment 99/100 seats were occupied.
Whats the probability what Abhishek gets to sit in his own seat ? Answer Choice: (A) 2 (B) 1/2 (C) 2/2 (D) 3 (E) None
Answer: B
A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.He is left with Rs 100/- How much did he have with him in the beginning ? Answer Choice: (A) 150 (B) 200 (C) 250 (D) 270 (E) 280
Answer: C
How many positive integers less than 5,000 are evenly divisible by neither 14 nor 21? Answer Choice: (A) 4,514 (B) 4,475 (C) 4,521 (D) 4,428 (E) 4,349
Answer: E
Ajay can walk 6km in 1 hour. In how many hours he can walk 45km? Answer Choice: (A) 5hrs (B) 10hrs (C) 7.5hrs (D) 20hrs (E) 30hrs
Answer: C
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is? Answer Choice: (A) 15 (B) 16 (C) 18 (D) 21 (E) 22
Answer: B
Anup was asked to find the value of 7/12 of a sum of money Q. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is: Answer Choice: (A)  48 (B)  89 (C)  84 (D)  69 (E)  49
Answer: E
In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ? Answer Choice: (A) 48400 (B) 23777 (C) 12387 (D) 48213 (E) 37882
Answer: A
The sides of a square region, measured to the nearest centimeter, are 10 centimeters long. The least possible value of the actual area of the square region is Answer Choice: (A) 96.25 sq cm (B) 98.25 sq cm (C) 92.25 sq cm (D) 100.25 sq cm (E) 90.25 sq cm
Answer: E
A division of a company consists of five men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female? Answer Choice: (A) 2/5 (B) 2/7 (C) 2/9 (D) 2/11 (E) 2/13
Answer: C
Let a be a positive integer. If w is divisible by 2^a and w is also divisible by 3^(2a), then it is possible that w is NOT divisible by Answer Choice: (A) 6 (B) 3 × 2^a (C) 2 × 3^(2a) (D) 6^a (E) 6^(2a)
Answer: E
Simplify: 839478 x 625 Answer Choice: (A) 524673750 (B) 546273750 (C) 562473750 (D) 564273750 (E) None of them
Answer: A
The probability of pulling a black ball out of a glass jar is 1/R. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar? Answer Choice: (A) 1/(XY) (B) R/Y (C) Y/X (D) 1/(X+Y) (E) 1/(X-Y)
Answer: B
The average age of the mother and her six children is 13 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother? Answer Choice: (A) 40 (B) 41 (C) 42 (D) 43 (E) 44
Answer: D
A+B+C = 500
A+C = 200
B+C = 350
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A+B+2C = 550
A+B+C = 500
----------------
C = 50
Answer: A Answer Choice: (A) 50 (B) 27 (C) 26 (D) 28 (E) 24
Answer: C
An intelligence agency decides on a code of 2 digits selected from 0, 1, 2, …, 9. But on the slip on which the code is hand written allows confusion between top and bottom, because there are indistinguishable. Thus, for example, the code 91 could be confused with 16. How many codes are there such that there is no possibility of any confusion? Answer Choice: (A) 90 (B) Required numbers = 80 (C) 40 (D) 50 (E) 89
Answer: B
A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of X square inches. Which of the following equations must be true? Answer Choice: (A) 2W^2 − PW + 2X = 0 (B) 2W^2 + PW + 2X = 0 (C) 2W^2 − PW − 2X = 0 (D) W^2 + PW + X = 0 (E) W^2 − PW + 2X = 0
Answer: A
If x+y=4, x-y=36, for integers of x and y, x=? Answer Choice: (A) 20 (B) 15 (C) 25 (D) 13 (E) 42
Answer: A
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 50 and the turban. Find the price of the turban. Answer Choice: (A) 27 (B) 36 (C) 29 (D) 10 (E) 70
Answer: E
The length of a side of a hexagon is 4 inches. What is the perimeter? Answer Choice: (A) 22 (B) 23 (C) 24 (D) 25 (E) 26
Answer: C
For a positive integer n, let PnPn denote the product of the digits of nn and SnSn denote the sum of the digits of nn. The number of integers between 10 and 100 for which Pn+Sn=n Answer Choice: (A) 9 (B) 8 (C) 7 (D) 6 (E) 5
Answer: A
A small pool filled only with water will require an additional 800 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 800 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons? Answer Choice: (A) 1000 (B) 1250 (C) 1300 (D) 2000 (E) 2250
Answer: E
In a new Engineering Hostels containing 100 rooms. Ankit Garg was hired to paint the numbers 1 to 100 on the doors.
How many times will Ankit have to paint the number eight ? Answer Choice: (A) 10 times (B) 15 times (C) 30 times (D) 20 times (E) 35 times
Answer: D
The profits of QRS company rose 20% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June? Answer Choice: (A) 15% (B) 32% (C) 44% (D) 62% (E) 80%
Answer: C
A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 16%. What is the value of x? Answer Choice: (A) 33.33 litres (B) 36.67 litres (C) 37.67 litres (D) 36.5 litres (E) 36 litres
Answer: A
In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a13? Answer Choice: (A) 100 (B) 55 (C) 25 (D) 19 (E) 1
Answer: C
In a set of 5 black balls and 3 red balls, how many selections of 5 balls can bemade such that at least 3 of them are black balls? Answer Choice: (A) 24 (B) 26 (C) 46 (D) 49 (E) 50
Answer: C
a sixth grade teacher asked her students to draw rectangles with positive integer length and a perimeter of 42.the difference between the largest and smallest possible ares of the rectangles that the students could have come up with is? Answer Choice: (A) 50 sq units (B) 60 sq units (C) 70 sq units (D) 80 sq units (E) 90 sq units
Answer: E
Working at constant rate, pump X pumped out half of the water in a flooded basement in 2 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement? Answer Choice: (A) a. 10 (B) b. 12 (C) c. 14 (D) d. 18 (E) e. 24
Answer: D
Donald duck can can swim his pool downstream(with the pool current helping time) in exact 40 seconds and upstream(against the pool current) in a pool in exact 60 seconds. The length of pool is 2 kilometers.
How long Donald duck can cover distance of one side at a still pool (with no current). Answer Choice: (A) 48 minutes. (B) 58 minutes. (C) 68 minutes. (D) 88 minutes. (E) 78 minutes.
Answer: A
If the given two numbers are respectively 6% and 18% of a third number, then what percentage is the first of the second ? Answer Choice: (A) 20% (B) 25% (C) 18% (D) 33 1/3% (E) none of these
Answer: D
A invested Rs. 76,000 in a business. After few months, B joined him Rs. 57,000. At the end of the year, the total profit was divided between them in ratio 2 : 1. After bow many months did B join? Answer Choice: (A) 4 (B) 3 (C) 2 (D) 1 (E) None of them
Answer: A
If n is a positive integer, which of the following expressions must be even? Answer Choice: (A) (n − 1)( n + 3) (B) (n − 6)( n + 1) (C) (n − 2)( n + 6) (D) (n − 3)( n + 3) (E) (n − 3)( n + 7)
Answer: B
A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters? Answer Choice: (A) 1777 meters (B) 1822 meters (C) 400 meters (D) 1111 mete (E) None of these
Answer: C
If x2−1/x+1, then, x = ? Answer Choice: (A) 1 (B) 0 (C) 2 (D) Can’t be determined (E) None of these
Answer: E
Simplfy
b - [b -(a+b) - {b - (b - a+b)} + 2a] Answer Choice: (A) a (B) 2a (C) 4a (D) 0 (E) 1
Answer: D
If a die has 3,4 and 1,6 and 2,5 opposite each other, then how many such dies can be made. Answer Choice: (A) 13 (B) 3 (C) 5 (D) 12 (E) 11
Answer: D
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km? Answer Choice: (A) 11000 (B) 11008 (C) 11006 (D) 110054 (E) 11001
Answer: A
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 10 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? Answer Choice: (A) 2.9 hrs (B) 8.9 hrs (C) 2.9 hrs (D) 6.7 hrs (E) 8.6 hrs
Answer: D
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank? Answer Choice: (A) 18 (B) 10 (C) 12 (D) 11 (E) 17
Answer: B
1/3rd of work is completed by kiran in 6days. In how many days he can finish the remaining work? Answer Choice: (A) 6days (B) 10days (C) 12days (D) 15days (E) 20days
Answer: C
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is Answer Choice: (A) 6 (B) 12 (C) 24 (D) 36 (E) 48
Answer: B
A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr? Answer Choice: (A) 10 km/hr. (B) 20 km/hr. (C) 30 km/hr. (D) 40 km/hr. (E) None
Answer: D
The average age of a class of 32 students is 15 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Answer Choice: (A) 45 Years (B) 46 Years (C) 49 Years (D) 52 Years (E) 48 Years
Answer: E
A car traveling at a certain constant speed takes 12 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Answer Choice: (A) 60 (B) 72 (C) 72.5 (D) 73 (E) 73.5
Answer: A
A certain sum of money at simple interest amounted Rs.1448 in 9 years at 4% per annum, find the sum? Answer Choice: (A) 1064 (B) 1080 (C) 1980 (D) 646 (E) 168
Answer: A
In what time a debt of Rs.7920 due may be cleared by immediate cash down
payment of Rs.3600 at 1/2% per month Answer Choice: (A) 10years (B) 20years (C) 30years (D) 40years (E) NONE OF THESE
Answer: B
A person crosses a 500 m long street in 4 minutes. What is his speed in km per hour? Answer Choice: (A) 7.5 (B) 2.6 (C) 3.9 (D) 8.2 (E) 2.7
Answer: A
In how many ways can eight different rings be worn on four fingers of one hand? Answer Choice: (A) 10 (B) 12 (C) 70 (D) 60 (E) 18
Answer: C
(1^2+2^2+3^2+.....+11^2)=? Answer Choice: (A) 506 (B) 345 (C) 365 (D) 385 (E) None of them
Answer: A
The car A has an average speed of 40 miles/hour and car B has an average speed of 60. How much time(in minutes) does the car A take more than car B to cover a distance of 60 miles? Answer Choice: (A) 10 (B) 20 (C) 25 (D) 30 (E) 40
Answer: D
For which of the following functions is f(z+b)=f(z)+f(b) for all positive numbers z and b? Answer Choice: (A) a) f(x)=x^2 (B) b) f(x)=x+1 (C) c) f(x)=root x (D) d) f(x)=2/x (E) e) f(x)= -3x
Answer: E
In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6? Answer Choice: (A) 80 rooms (B) 90 rooms (C) 70 rooms (D) 60 rooms (E) 10 rooms
Answer: B
Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 18% and its breadth is decreased by 16%? Answer Choice: (A) 5.88% decrease (B) 0.88% decrease (C) 0.88% increase (D) 1.88% decrease (E) 2.88% decrease
Answer: B
How many numbers from 10 to 50 are exactly divisible by 3 Answer Choice: (A) 11 (B) 13 (C) 15 (D) 18 (E) 19
Answer: B
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 180 votes. Find the total number of valid votes? Answer Choice: (A) 430 (B) 450 (C) 436 (D) 434 (E) 422
Answer: B
If x is a negative integer, which of the following must be a negative integer? Answer Choice: (A) x + 1 (B) x/2+3 (C) x^4 (D) x – y (E) x^11
Answer: E
The food in a camp lasts for 40 men for 30 days. If ten more men join, how many days will the food last? Answer Choice: (A) 32days (B) 30days (C) 28days (D) 26days (E) 24days
Answer: E
2 corner most boxes of a chess board(diagonally opposite) haven been cut out
there's a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ?” Answer Choice: (A) 27 (B) 28 (C) 29 (D) 30 (E) 31
Answer: D
A can finish a piece of work in 5 days. B can do it in 15 days. They work together for two days and then A goes away. In how many days will B finish the work? Answer Choice: (A) 3 days (B) 5 days (C) 4 days (D) 6 days (E) 7 days
Answer: E
In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $60,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000? Answer Choice: (A) $80,000 (B) $130,000 (C) $240,000 (D) $290,000 (E) $220,000
Answer: E
If |x - 20| = 40 what is the sum of all the values of x. Answer Choice: (A) 0 (B) 60 (C) -80 (D) 40 (E) 80
Answer: D
If your mother asked you to bring her 7 water bottles, and one bottle costs 1.5 $, how much money should she give you? Answer Choice: (A) 9 $ (B) 9.5 $ (C) 10 $ (D) 10.5 $ (E) 11 $
Answer: D
At what rate of interest (compounded yearly)will Rs.10,000 amount to Rs.12100 in 2 years? Answer Choice: (A) 11% (B) 8% (C) 10% (D) 9% (E) 7%
Answer: C
15 and 5 are the first two terms in a geometric sequence. What is the arithmetic difference between the 7th term and the 9th term? Answer Choice: (A) (40/3) * (1/3)^7 (B) (40/6) * (1/3)^7 (C) (40/9) * (1/3)^7 (D) (1/3)^7 (E) (100/3) * (1/3)^7
Answer: A
The mean of 1^3,2^3,3^3,4^3,5^3 is? Answer Choice: (A) 30 (B) 45 (C) 50 (D) 60 (E) 75
Answer: B
Convert the 18/42 m/s into kilometers per hour? Answer Choice: (A) 3.5 kmph. (B) 2.5 kmph. (C) 1.2 kmph. (D) 1.54 kmph. (E) 1.9 kmph.
Answer: D
The ratio of salary of a worker in July to that in June was 21⁄2 : 21⁄4, by what % the salary of July more than salary of June. Also find by what %, salary of June was less than that of July. Answer Choice: (A) 11 1⁄9% and 10% (B) 10% and 11 1⁄9% (C) Both 10% (D) Both 11 1⁄9% (E) None of these
Answer: A
In expressing a length of 77.470 km as nearly as possible with the three significant digits, find the percentage error Answer Choice: (A) 0.39% (B) 0.34% (C) 0.039% (D) 0.035% (E) None of these
Answer: C
The average of 40 numbers is 32. If two numbers namely 34 and 39 are discarded, The average of
remaining numbers is? Answer Choice: (A) 31.7 (B) 37.5 (C) 39.5 (D) 34.5 (E) 38.5
Answer: A
The cube root of .000343 is Answer Choice: (A) 0.7 (B) 0.07 (C) 0.007 (D) 7 (E) None of these
Answer: B
The probability that a arrow fired from a point will hit the target is 1/4. Three such arrows are fired simultaneously towards the target from that very point. What is the probability that the target will be hit? Answer Choice: (A) 19/64 (B) 23/64 (C) 23/67 (D) 37/64 (E) 37/50
Answer: D
A and B together can do a piece of work in 3 days. If A alone can do the same work in 20 days, then B alone can do the same work in? Answer Choice: (A) 0.28 days (B) 0.45 days (C) 0.55 days (D) 0.25 days (E) 0.15 days
Answer: A
By travelling at 60 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time? Answer Choice: (A) 30 kmph (B) 28 kmph (C) 26 kmph (D) 24 kmph (E) 22 kmph
Answer: A
Find the invalid no.from the following series 10, 17, 22, 29, 34, 36 Answer Choice: (A) 36 (B) 18 (C) 40 (D) 37 (E) 25
Answer: A
Present ages of X and Y are in the ratio 4:5 respectively. 6 years hence this ratio will become 5:6 respectively. What is X's present age in years? Answer Choice: (A) 35 (B) 24 (C) 37 (D) 39 (E) 40
Answer: B
In a 2000 m race, A beats B by 100 meters or 50 seconds. Find the speed of B? Answer Choice: (A) 10m/s (B) 2m/s (C) 5m/s (D) 7m/s (E) 3m/s
Answer: B
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 16:36. Find the ratio of their corresponding heights . Answer Choice: (A)  4/6 (B)  5/4 (C)  3/2 (D)  5/7 (E)  2/3
Answer: A
65% of x = 20% of 422.50. Find the value of x? Answer Choice: (A) 100 (B) 130 (C) 150 (D) 180 (E) 199
Answer: B
The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+48, what is the perimeter of the garden in feet? Answer Choice: (A) 36 (B) 40 (C) 44 (D) 48 (E) 52
Answer: D
The perimeter of a triangle is 24 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Answer Choice: (A) 30 cm2 (B) 85 cm2 (C) 65 cm2 (D) 45 cm2 (E) 35 cm2
Answer: A
What is the rate percent when the simple interest on Rs.9100 amount to Rs.455 in 3 Years? Answer Choice: (A) 3.7% (B) 5.7% (C) 6.7% (D) 8.7% (E) 9.7%
Answer: A
How many digits are in the number 50^8 × 8^3 × 11^2? Answer Choice: (A) 22 (B) 20 (C) 19 (D) 18 (E) 17
Answer: C
. If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is? Answer Choice: (A) 3:2 (B) 9:5 (C) 9:1 (D) 9:9 (E) 9:7
Answer: C
If mn > 0, which of the following must be negative? Answer Choice: (A) mn (B) mn^2 (C) m/-n (D) m/n (E) m+n
Answer: C
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start? Answer Choice: (A) 2 hours (B) 9 hours (C) 6 hours (D) 3 hours (E) 12 hours
Answer: A
If the radius of a circle is increased by 20% then the area is increased by: Answer Choice: (A) 44 (B) 219 (C) 16 (D) 18 (E) 11
Answer: A
A certain fruit stand sold apples for $0.70 each and guava for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ? Answer Choice: (A) 12 (B) 13 (C) 11 (D) 14 (E) 5
Answer: C
Cathy and Jim begin running at the same time and they start at the same place on a straight path. Cathy runs at 10 miles per hour, and Jim runs at 6 miles per hour. After 18 minutes, Cathy stops to stretch. If it takes Cathy 27 minutes to stretch and Jim continues to run during this time, how many minutes will it take Cathy to catch up to Jim? Answer Choice: (A) 20.5 (B) 21.5 (C) 22.5 (D) 23.5 (E) 24.5
Answer: C
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 600 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day? Answer Choice: (A) 2880. (B) 4320. (C) 5780. (D) 5760. (E) 6380.
Answer: B
A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is: Answer Choice: (A) 130 (B) 360 (C) 500 (D) 540 (E) 580
Answer: C
Find the sum of all 2 digit numbers divisible by 3. Answer Choice: (A) 99 (B) 199 (C) 1665 (D) 2452 (E) 2547
Answer: C
The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream? Answer Choice: (A) 87 kmph (B) 40 kmph (C) 16 kmph (D) 20 kmph (E) 18 kmph kmph
Answer: D
49 Ã— 49 = 7^? Answer Choice: (A) 4 (B) 7 (C) 8 (D) 16 (E) None of these
Answer: A
If pipe A can fill the tank in 45 minutes and pipe B in 30 minutes, find the time to fill the tank if both the pipes are opened together. Answer Choice: (A) 12 minutes (B) 20 minutes (C) 18 minutes (D) 15 minutes (E) None of these
Answer: C
The average of 5 quantities is 11. The average of 3 of them is 4. What is the average of remaining 2 numbers? Answer Choice: (A) 21.5 (B) 10.6 (C) 8 (D) 9.5 (E) None of these
Answer: A
How many cubes of 5cm edge can be cut out of a cube of 15cm edge Answer Choice: (A) 36 (B) 232 (C) 27 (D) 48 (E) None of these
Answer: C
Sum of the squares of three numbers is 431 and the sum of their products taken two at a time is 265. Find the sum? Answer Choice: (A) 32 (B) 35 (C) 25 (D) 31 (E) 29
Answer: D
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 63 as quotient. What is the correct quotient ? Answer Choice: (A) 0 (B) 36 (C) 13 (D) 20 (E) 25
Answer: B
Suresh drives his car to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. What is his average speed for the whole journey ? Answer Choice: (A) 32.5 km/hr (B) 35 km/hr (C) 37.5 km/hr (D) 40 km/hr (E) 42 km/hr
Answer: C
The average height of 30 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm. What was the actual average height of the students in the class? Answer Choice: (A) 174.5 (B) 173.5 (C) 172.5 (D) 171.5 (E) 170.5
Answer: A
What is the value of n if the sum of the consecutive odd intergers E from 1 to n equals 169? Answer Choice: (A) 47 (B) 25 (C) 37 (D) 33 (E) 29
Answer: B
A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ? Answer Choice: (A) 115 (B) 117 (C) 116 (D) 114 (E) 113
Answer: B
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is Answer Choice: (A) 1/4 (B) 1/2 (C) 3/4 (D) 3/5 (E) None of these
Answer: B
How many terms are there in 2, 4, 8, 16,..., 16384? Answer Choice: (A) 14 (B) 11 (C) 12 (D) 10 (E) 8
Answer: A
The probability that A speaks truth is 3/5 and that of B speaking truth is 2/7. What is the probability that they agree in stating the same fact? Answer Choice: (A) 18/35 (B) 18/38 (C) 18/36 (D) 16/35 (E) 18/31
Answer: D
If the TV is selling for $1200 its cost price is $800. Then what is the profit percentage Answer Choice: (A) 60% (B) 70% (C) 80% (D) 90% (E) 50%
Answer: E
A hotel has 4 available rooms. One room has a view to the garden and the others has a view to the pool. If you sleep in the hotel, what is the probability that you get a room in the side of the garden? Answer Choice: (A) 1/4 (B) 1/2 (C) 1/3 (D) none (E) 2
Answer: A
If 425/999=0.125, what is the 81st digit to the right of the decimal point in the decimal equivalent of the fraction? Answer Choice: (A) 0 (B) 2 (C) 3 (D) 4 (E) 5
Answer: E
In what time will a train 80 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.0 sec (B) 2.8 sec (C) 7.5 sec (D) 2.3 sec (E) 1.5 sec
Answer: A
A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 300,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes? Answer Choice: (A) a) 500 (B) b) 750 (C) c) 1,000 (D) d) 1,250 (E) e) 1,500
Answer: C
If 2^(2w) = 8^(w−6), what is the value of w? Answer Choice: (A) 12 (B) 15 (C) 18 (D) 21 (E) 24
Answer: C