loafeihong/math_mmlu_format huggingface dataset:
If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 25000 sheets of xerox paper? Answer Choice: (A) $1250 (B) $1060 (C) $1350 (D) $900 (E) $1000
Answer: B
Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 500 nuts and 500 bolts? Answer Choice: (A) 250 seconds (B) 500 seconds (C) 750 seconds (D) 2,000 seconds (E) 3,000 seconds
Answer: C
Two trains, traveling towards each other, left from two stations that are 900 miles apart, at 4 pm. If the rate of the first train is 72 mph and the rate of the second train is 78 mph, at whatt time will they pass each other? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10
Answer: C
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article? Answer Choice: (A) 3377 (B) 268 (C) 1200 (D) 2877 (E) 1681
Answer: C
Find the compound interest on $ 66,000 at 20% per annum for 9 months, compounded quarterly Answer Choice: (A) 2532.12 (B) 2552.2 (C) 9524.32 (D) 10403.25 (E) 20512.54
Answer: D
10 t-shirts are available to choose. 5 of them are printed, and 5 of them are plain t-shirts. If 3 t-shirts are to be selected at random from the 10, what is the probability that at least one of them is a printed t-shirt. Answer Choice: (A) 1/12 (B) 7/12 (C) 5/12 (D) 11/12 (E) 13/12
Answer: D
All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 152 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A? Answer Choice: (A) 1216 (B) 1723 (C) 1129 (D) 2613 (E) 1372
Answer: A
A walks at 10 kmph and 4 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A? Answer Choice: (A) 100km (B) 150km (C) 80km (D) 120km (E) 200km
Answer: C
Albert and Bob are painting rooms at constant, but different rates. Albert takes 1 hour longer than Bob to paint n rooms. Working side by side, they can paint a total of 3n/6 rooms in 4/3 hours. How many hours would it take Albert to paint 3n rooms by himself? Answer Choice: (A) 7 (B) 9 (C) 11 (D) D.13 (E) 18
Answer: E
A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Thursday at 11 AM, what will be the time at the end of 10 days? Answer Choice: (A) 11:54:24 AM (B) 11:56:24 AM (C) 12:16:40 PM (D) 11:54:40 AM (E) 12:06:36 PM
Answer: A
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Answer Choice: (A) 40 (B) 56 (C) 41 (D) 42 (E) 34
Answer: A
If the average marks of three batches of 40, 50 and 60 students respectively is 45, 55, 65, what is the average marks of all the students? Answer Choice: (A) 56.33 (B) 34.89 (C) 23.67 (D) 54.65 (E) 43.98
Answer: A
a, b are positive integers. The remainder of a to be divided by 5 is 2 and the remainder of b to be divided by 7 is 3.
Which is possible to be the remainder of a*b to be divided by 48 Answer Choice: (A) a) 2 (B) b) 6 (C) c) 8 (D) d) 12 (E) e) 20
Answer: B
What is the length of a bridge (in meters), which a train 156 meters long and travelling at 45 km/h can cross in 40 seconds? Answer Choice: (A) 308 (B) 320 (C) 332 (D) 344 (E) 356
Answer: D
10 groups have applied for funding from the rec board. After dividing the budget equally among the 10, the rec board finds that there are 4 dollars left over, as funding allocations must be in whole numbers of dollars.
The next semester, the rec board has 4 times as much money to allocate to the 10 groups. How much money will be left over this semester? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 0
Answer: C
Increasing the original price of a certain item by 15 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent? Answer Choice: (A) 31.25 (B) 37.5 (C) 50.0 (D) 52.5 (E) 43.75
Answer: E
Two employees X and Y are paid a total of Rs. 700 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Answer Choice: (A) s.200.18 (B) s.240.18 (C) s.290.18 (D) s.300.18 (E) s.318.18
Answer: E
Sum of the squares of three numbers is 467 and the sum of their products taken two at a time is 131. Find the sum? Answer Choice: (A) 20 (B) 27 (C) 25 (D) 27 (E) 29
Answer: B
A train 140 m long is running at 60 kmph. In how much time wiU it pass a platform 260 m long? Answer Choice: (A) 21sec (B) 22sec (C) 23sec (D) 24sec (E) 26sec
Answer: D
Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 6 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her? Answer Choice: (A) 8 mph (B) 5.25 mph (C) 3.5 mph (D) 4 mph (E) 0.5 mph
Answer: C
A charity is raising Â£1000 for disabled children. If it spends Â£20 for every Â£100 raised, how much money do they need to raise to reach the goal? Answer Choice: (A) A - 1200 (B) A - 1200 (C) A - 1200 (D) D - 12 (E) 155
Answer: C
There are three persons A, B and C when the age of A is added to half of the age of B, the result is equal to C's age. One-third of the age of 'B' is equal to one-fourth of the age of 'C'. If one-fifth of A's age is added to half of B's age, the result is equal to half of C's age. Then what is the age of 'B' ? Answer Choice: (A) 16 yrs (B) 20 yrs (C) 24 yrs (D) 30 yrs (E) 35 yrs
Answer: C
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony eight hours from now? Answer Choice: (A) 4,960,000 (B) 6,860,000 (C) 9,920,000 (D) 11,720,000 (E) 14,960,000
Answer: C
A train covered a distance at a uniform speed .if the train had been 6 km/hr faster it would have been 4 hour less than schedule time and if the train were slower by 6 km/hr it would have been 6 hrs more.find the distance. Answer Choice: (A) 720 km (B) 820 km (C) 920 km (D) 620 km (E) 780 km
Answer: A
The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? Answer Choice: (A) 40, 68 kmph (B) 40, 30 kmph (C) 90, 60 kmph (D) 40, 60 kmph (E) 60, 20 kmph
Answer: E
The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 5 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house? Answer Choice: (A) 25 km (B) 30 km (C) 40 km (D) 50 km (E) 60 km
Answer: A
Three table runners have a combined area of 220 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner? Answer Choice: (A)  18 square inches (B)  20 square inches (C)  24 square inches (D)  28 square inches (E)  30 square inches
Answer: D
In 10 years, A will be twice as old as B was 10 years ago. If A is now 4 years older than B the present age of B is Answer Choice: (A) 37 (B) 38 (C) 39 (D) 34 (E) 41
Answer: D
Jimâ€™s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.4 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles? Answer Choice: (A) $3.15 (B) $4.45 (C) $4.80 (D) $5.05 (E) $5.85
Answer: E
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is : Answer Choice: (A) 45 (B) 46 (C) 47 (D) 48 (E) 49
Answer: A
The number N is H,284, where H represents the ten's digit. If N is divisible by 6, what is the value of H? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 8
Answer: A
How many keystrokes are needed to type numbers from 8 to 180? Answer Choice: (A) 360 (B) 180 (C) 325 (D) 425 (E) None of these
Answer: D
Peter purchased 30 kg of rice at the rate of $11.50 per kg and 20 kg of rice at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit? Answer Choice: (A) 17.2 (B) 15.3 (C) 16.3 (D) 19.3 (E) 10.12
Answer: C
How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length? Answer Choice: (A) 22 sec (B) 20 sec (C) 15 sec (D) 23 sec (E) 16 sec
Answer: D
River A and River B have a combined length of 650 miles and River B is 250 miles shorter than river A. How many miles long in river B? Answer Choice: (A) 100 (B) 200 (C) 300 (D) 400 (E) not be determined
Answer: B
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is Answer Choice: (A) 1/37 (B) 1/36 (C) 1/28 (D) 1/29 (E) 1/23
Answer: B
Jackson has $313,193 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors? Answer Choice: (A) $1 (B) $2 (C) $3 (D) $4 (E) $5
Answer: B
The angles of a triangle are in the ratio 2: 3 : 4. Find the measurement of the 3 angles of triangle. Answer Choice: (A) 75° (B) 25° (C) 40° (D) 80° (E) 20°
Answer: D
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is? Answer Choice: (A) 86% (B) 98% (C) 96% (D) 06% (E) 92%
Answer: C
The price of a new SUV is $50,000 and you have $10,000 cash to make a down-payment. You will be able to finance the remainder of the balance over 60 months. Regarding the principle only, what percent of the original price of the SUV will you pay monthly? Answer Choice: (A)  1/2 % (B)  1 % (C)  1 1/3 % (D)  2 % (E)  3 %
Answer: C
Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts S1,S2,S3 and S4 comined as shown in the table above. What is the expected number Q of defective chips in a shipment of 60000 chips? Answer Choice: (A) 14 (B) 20 (C) 22 (D) 24 (E) 25
Answer: B
Miguel is 41 years old. He is 3 years older than twice his son’s age. Find the age of his son. Answer Choice: (A) 11years (B) 12years (C) 13years (D) 18years (E) 19years
Answer: E
The area of a rectangular plot is 20 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth? Answer Choice: (A) 10 metres (B) 5 metres (C) 7.5 metres (D) Data inadequate (E) None of these
Answer: A
Q' = 3Q - 3, what is the value of (7')' ? Answer Choice: (A)  6 (B)  106 (C)  206 (D)  306 (E)  406
Answer: D
In a park there are two ponds with both brown ducks and green ducks. In the smaller pond there are 45 ducks and in the larger pond there are 55 ducks. If 20% of the ducks in the smaller pond are green and 40% of the ducks in the larger pond are green, then what percentage of ducks are green? Answer Choice: (A) 25% (B) 27% (C) 29% (D) 31% (E) 33%
Answer: D
People were sitting in a circle.7th one is direct opposite to 18th one..Then how many were there in that group? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 24 (E) 20
Answer: B
If 3^x = 2, then 3^(4x+3) = Answer Choice: (A) 429 (B) 454 (C) 432 (D) 438 (E) 108
Answer: C
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 20,000 and at the same time n is a perfect square and a perfect cube? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: C
There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess? Answer Choice: (A) 38 (B) 40 (C) 42 (D) 45 (E) 80
Answer: C
A certain fraction has the same ratio to 1/36, as 4/7 does to 5/9. What is this certain fraction? Answer Choice: (A) 1/35 (B) 1/42 (C) 1/49 (D) 1/56 (E) 1/63
Answer: A
A man has some hens and cows. If the number of heads be 50 and the number of feet equals 144, then the number of hens will be Answer Choice: (A) 22 (B) 24 (C) 26 (D) 20 (E) 28
Answer: E
34, 45, 56, 67,78, _ ? Answer Choice: (A) 33 (B) 82 (C) 99 (D) 89 (E) 27
Answer: D
Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction? Answer Choice: (A) Rs.689 (B) Rs.179 (C) Rs.189 (D) Rs.187 (E) Rs.119
Answer: C
A committee of four students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: D
Superman flies at a heroic rate of 10 miles per second- wow! What is his speed in kilometers per hour? [1km = 0.6 miles] Answer Choice: (A) 1,000 (B) 12,000 (C) 60,000 (D) 30,000 (E) 120,000
Answer: C
A train met with an accident 90km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train? Answer Choice: (A) 60 km/hr (B) 55 km/hr (C) 65 km/hr (D) 90 km/hr (E) 48 km/hr
Answer: D
What is the principal sum?
I. The sum amounts to Rs. 690 in 3 years at S.I.
II. The sum amounts to Rs. 750 in 5 years at S.I.
III. The rate of interest is 5% 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) None of these
Answer: D
How many times in a day, are the hands of a clock in straight line but opposite in direction? Answer Choice: (A) 21 (B) 22 (C) 17 (D) 26 (E) 25
Answer: B
A committee is to be formed by randomly choosing 5 people from 7 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not? Answer Choice: (A) 3/7 (B) 4/7 (C) 5/21 (D) 6/21 (E) 9/42
Answer: C
What approximate value should come in place of the question mark (?) in the following equation?64.85 Ã— 12.25 â€“ 30.22 Ã— 8.95 = (52 + ?) Ã— 10 Answer Choice: (A) 5.39435 (B) 3.39435 (C) 2.39435 (D) 0.39435 (E) 1.39435
Answer: D
One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the faster pipe is used? Answer Choice: (A) 11.25 (B) 11.52 (C) 1.25 (D) 7.2 (E) 9
Answer: E
After decreasing 24% in the price of an article costs Rs.320. Find the actual cost of an article? Answer Choice: (A) 400 (B) 520 (C) 651 (D) 525 (E) 421
Answer: E
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Answer Choice: (A) 21 (B) 19 (C) 23 (D) 25 (E) 26
Answer: E
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work? Answer Choice: (A) 2 (B) 4 (C) 18 (D) 6 (E) 9
Answer: C
A GOLF BALL HAS DIAMETER EQUAL TO 4.1CM. ITS SURFACE HAS 150 DIMPLES EACH OF RADIUS 2MM (0.2 CM) .CALCULATE TOTAL SURFACE AREA WHICH IS EXPOSED TO SURROUNDINGS ASSUMING THAT THE DIMPLES ARE HEMISPHERCAL. Answer Choice: (A) 81.62cm2 (B) 71.62cm2 (C) 61.62cm2 (D) 51.62cm2 (E) 41.62cm2
Answer: B
A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work? Answer Choice: (A) 4/3 days (B) 2 days (C) 8 days (D) 3 days (E) 9 days
Answer: A
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour? Answer Choice: (A) 18 (B) 77 (C) 12 (D) 99 (E) 12
Answer: C
How many different combinations of clothes can rahul make if he have 2 pairs of pants, 4 shirts, and 3 jackets? Answer Choice: (A) 10 (B) 18 (C) 24 (D) 20 (E) 15
Answer: C
If x and y are odd integers, which of the following must always be a non-integer? Answer Choice: (A) xy (B) x/y (C) y/x (D) xy/2 (E) -xy
Answer: D
A work can be finished in 11 days by forty women. The same work can be finished in eleven days by four men. The ratio between the capacity of a man and a woman is Answer Choice: (A) 4:1 (B) 3:4 (C) 2:3 (D) 3:2 (E) 4:5
Answer: A
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years? Answer Choice: (A) 200 (B) 400 (C) 378 (D) 883 (E) 732
Answer: B
A train passes a station platform in 40 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 328 (B) 279 (C) 240 (D) 288 (E) 300
Answer: E
A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsalable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate? Answer Choice: (A) 180 (B) 280 (C) 380 (D) 480 (E) 580
Answer: D
The ratio of radius of a circle and the side of a square is 2 : 7. Find the ratio of their areas: Answer Choice: (A) 2 : 1 (B) 4 : 7 (C) 8 : 77 (D) 4 : 49 (E) None
Answer: D
How many members are there between 1 to 100 which are divisible by 9 and the sum of two digits is 9? Answer Choice: (A) 13 (B) 11 (C) 7 (D) 9 (E) 10
Answer: D
A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture? Answer Choice: (A) 150 (B) 225 (C) 325 (D) 425 (E) 550
Answer: D
The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas? Answer Choice: (A) 6:25 (B) 3:5 (C) 9:25 (D) 16:25 (E) 19:25
Answer: C
Fifteen participants are participating in a competition. In how many ways can the first three prizes be won? Answer Choice: (A) 920 (B) 680 (C) 2730 (D) 720 (E) 620
Answer: C
If x is equal to the sum of the integers from 20 to 40, inclusive, and y is the number of even integers from 20 to 40, inclusive, what is the value of x + y? Answer Choice: (A) 601 (B) 611 (C) 621 (D) 631 (E) 641
Answer: E
A man spend 1/5 of his salary on food , 1/10 of his salary on house rent and 3/5 salary on clothes. he still has $16000 left with him. find salary.. Answer Choice: (A) $10800 (B) $18000 (C) $160000 (D) $1800 (E) None
Answer: C
Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations S of project assignments are possible? Answer Choice: (A) 252 (B) 1,680 (C) 2,340 (D) 362,880 (E) 592,704
Answer: B
A car travels the first 1/3 of certain distance with a speed of 10km/hr the next 1/3 distance with a speed of 20 km/hr, and the last 1/3 distance with a speed of 10 km/hr. the average speed of the car for the whole journey is? Answer Choice: (A) 12km/hr (B) 18km/hr (C) 89km/hr (D) 52km/hr (E) 79km/hr
Answer: A
Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 125 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond? Answer Choice: (A)  280 (B)  400 (C)  540 (D)  625 (E)  840
Answer: D
y =2x^2 +2bx + 512 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b? Answer Choice: (A) 256 (B) -256 (C) -128 (D) -64 (E) -257
Answer: E
Calculate the share of profit made by 2 business partners, who invested $800 and $1200 respectively in a business if the profit made is $600. Answer Choice: (A) $241,$360 (B) $240,$2260 (C) $240,$360 (D) $230,$360 (E) $220,$360
Answer: C
What is the average of xx, 2x2x, and 66? Answer Choice: (A) x+2 (B) x+3 (C) x+2x+2 (D) x+4 (E) 2x+5
Answer: C
If the average (arithmetic mean) of x, x + 2, and x + 4 is 73, what is the value of x? Answer Choice: (A) 71 (B) 75 (C) 85 (D) 83 (E) 82
Answer: A
The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 5 :4. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science? Answer Choice: (A) 18 : 35 : 50 (B) 3 : 10 : 10 (C) 4 : 8 : 5 (D) 8 : 35 : 25 (E) None of these
Answer: D
The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 539, Krishan has ? Answer Choice: (A) s. 2890 (B) s. 2330 (C) s. 1190 (D) s. 1620 (E) s. 3179
Answer: E
Find the Missing Number 1, 5, 13, 25, ? Answer Choice: (A) 41 (B) 44 (C) 23 (D) 26 (E) 29
Answer: A
Lucy deposited $62500 in an investment fund that provided 22 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $5100? Answer Choice: (A) 1/2 (B) 1/7 (C) 3 (D) 6 (E) 6.1
Answer: B
What is the greatest prime factor of 5^6 - 1? Answer Choice: (A) 29 (B) 31 (C) 37 (D) 41 (E) 43
Answer: B
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 <= 8x+10 <= 6 (B) 2 <= 34x+4 <= 6 (C) 2 <= 3x+4 <= 6 (D) 2 <= 3465x+4 <= 6 (E) 2 <= 346x+4 <= 6
Answer: C
In a series of eight football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 8 draws in the series? Answer Choice: (A) 24/576 (B) 125/864 (C) 1/25 (D) 1/65536 (E) 1/5
Answer: D
The perimeter of a rectangle is equal to the perimeter of aright-angled triangle of height 12 cm. If the base of the triangle is equal to the breadth of the rectangle, what is the length of the rectangle” Answer Choice: (A) 18 cm (B) 24 cm (C) 22 cm (D) Data inadequate (E) None of these
Answer: D
At a meeting, 25 attendants used a pencil and 15 attendants used a pen. If exactly 20 attendants used only one of the two types of writing tools, how many attendants wrote with both types of writing tools? Answer Choice: (A) 10 (B) 6 (C) 7 (D) 4 (E) 14
Answer: A
A numberais squared and then multiplied by negative 3. The result of this operation E is equal to three times the sum of three timesaand two. What is one possible value ofa? Answer Choice: (A) -3 (B) -2 (C) 1 (D) 2 (E) 3
Answer: B
There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to? Answer Choice: (A) 7!*3! (B) 7!*2! (C) 6!*3! (D) 5!*2! (E) 8!*3!
Answer: B
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph? Answer Choice: (A) 28 (B) 26 (C) 25 (D) 21 (E) 20
Answer: E