loafeihong/math_mmlu_format huggingface dataset:
How many diagonals does a 63-sided convex polygon have? Answer Choice: (A) 3780 (B) 1890 (C) 3843 (D) 3906 (E) 1953
Answer: B
Country X taxes each of its citizens an amount equal to 13 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income? Answer Choice: (A) $54,000 (B) $56,000 (C) $64,000 (D) $66,667 (E) $80,000
Answer: A
A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the amount of money that the student earned per day for the 5th day?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2 Answer Choice: (A) (1) $96 (B) (2) $84 (C) (3) $80 (D) (4) $70 (E) (5) $48
Answer: D
A sum of money is put out at compound interest for 2 years at 20%. It would earn Rs.482 more if the interest were paid half-yearly. Calculate the sum. Answer Choice: (A) 2878 (B) 279 (C) 279 (D) 482 (E) 661
Answer: D
A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^12 and 5^11, respectively, what is the value of A? Answer Choice: (A) -24(5^12) (B) -23(5^12) (C) -24(5^6) (D) 23(5^12) (E) 24(5^12)
Answer: D
To be considered grade AB, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AB eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AB eggs are used, the shells are all discarded, and no mass is lost in the cooking process? Answer Choice: (A) 800 (B) 840 (C) 864 (D) 900 (E) 1,080
Answer: B
In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt? Answer Choice: (A) 20 (B) 40 (C) 216 (D) 720 (E) 729
Answer: A
Find large number from below question The difference of two numbers is 1360. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1254 (B) 1376 (C) 1456 (D) 1555 (E) 1629
Answer: E
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? Answer Choice: (A) 2 cm (B) 7 cm (C) 1 cm (D) 4 cm (E) 9 cm
Answer: E
Find the unit's digit in 264 ^102+264^103 Answer Choice: (A) zero 0 (B) 1 (C) 2 (D) 4 (E) 5
Answer: A
Amit and Sumit started a business with initial investments in the ratio 2 : 3, after some months Sumit withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long Sumit was in the business ? Answer Choice: (A) 6 months (B) 8 months (C) 9 months (D) 5 months (E) 7 months
Answer: E
A boat can move upstream at 15 kmph and downstream at 35 kmph, then the speed of the current is? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 10 (E) 32
Answer: D
There are 12 magazines lying on a table; 6 are fashion magazines and the other 6 are sports magzines. If 5 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected? Answer Choice: (A) 521/525 (B) 522/525 (C) 520/525 (D) 519/525 (E) 517/525
Answer: A
If {g} denote the remainder when 3g is divided by 2 then which of the following is equal to 1 for all positive integers g?
I. {2g+1}
II. {2g}+1
III. 2{g+1} Answer Choice: (A) I only (B) II only (C) I and II (D) III only (E) II and III
Answer: C
One pipe can fill a pool three times faster than a second pipe. When both pipes are opened, they fill the pool in seven hours. How long would it take to fill the pool if only the slower pipe is used? Answer Choice: (A) 10 hr (B) 12 hr (C) 15 hr (D) 20 hr (E) 28 hr
Answer: E
If the price of an article went up by 25%, then by what percent should it be brought down to bring it back to its original price? Answer Choice: (A) 20% (B) 2/8% (C) 2/1% (D) 1/3% (E) 2/7%
Answer: A
A factory has 500 workers, 16 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent? Answer Choice: (A)  3 (B)  10 (C)  25 (D)  30 (E)  35
Answer: D
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 100 sq cm. Find the area of the square? Answer Choice: (A) 482 (B) Cannot be determined (C) 260 (D) 120 (E) 632
Answer: B
Two trains 119 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Answer Choice: (A) 7.19 (B) 7.17 (C) 7.2 (D) 7.15 (E) 7.05
Answer: E
A meeting has to be conducted with 5 managers. Find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together. Answer Choice: (A) 36 (B) 40 (C) 45 (D) 51 (E) 56
Answer: A
A man buys 52 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent? Answer Choice: (A) 7.6 % (B) 7.7 % (C) 11.32 % (D) 11.91 % (E) 7.8 %
Answer: D
The total cost of 100 paper plates and 200 paper cups is $7.50 At the same rates what is the total cost of 20 of the plates and 40 of the cups? Answer Choice: (A) $.90 (B) $1.00 (C) $1.20 (D) $1.50 (E) $1.60
Answer: D
Felix earned 60% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar? Answer Choice: (A) 20% (B) 9.09% (C) 34% (D) 30.90% (E) It cannot be determined from the information given.
Answer: D
2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened tofill the tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank? Answer Choice: (A) 12 hrs (B) 14 hrs (C) 16 hrs (D) 18 hrs (E) 20 hrs
Answer: C
Find the 25% of Rs. 600. Answer Choice: (A) s. 150 (B) s. 70 (C) s. 100 (D) s. 80 (E) s. 60
Answer: A
Ramu & Sangeetha went for biological analysis to an island which is 34km from their place. They traveled in a boat which went at a speed of 2m/s. when they are in half a distance in the boat Sangeetha noted there are 7 leg & 8 leg octopuses under the water. Ramu counted the total number of legs of octopuses and got 54. Sangeetha instantly said I know how many 7 legged octopuses are there under the water. They both reached the island after 20 min they left. How many seven legged octopuses does Sangeetha calculate? Answer Choice: (A) 2 (B) 5 (C) 6 (D) 7 (E) 8
Answer: A
How many positive integers E between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5? Answer Choice: (A) 3 (B) 16 (C) 75 (D) 24 (E) 26
Answer: E
Find the simple interest on Rs. 3000 at 6 1/4% per year for the period from 4th Feb., 2005 to 18th April, 2005. Answer Choice: (A) 36.5 (B) 33.5 (C) 35.5 (D) 37.5 (E) None of them
Answer: D
A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 9 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions? Answer Choice: (A)  84 (B)  94 (C)  545 (D)  315 (E)  220
Answer: A
r, b, and c are positive integers. If r, b, and c are assembled into the six-digit number rbcrbc, which one of the following must be a factor of rbcrbc? Answer Choice: (A)  16 (B)  13 (C)  5 (D)  3 (E)  none of the above
Answer: B
What are the maximum value and minimum values of f(x) = |2sin(2x - pi/3) - 5| + 3 Answer Choice: (A) max 8-min 2 (B) max 9-min 1 (C) max 10-min 6 (D) max 11-min 5 (E) max 12-min 3
Answer: C
The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is: Answer Choice: (A) 18% (B) 14% (C) 94% (D) 11% (E) 54%
Answer: B
A man purchased a grinder for Rs. 320 and sold it at a profit of 10%. The selling price is: Answer Choice: (A) Rs. 736 (B) Rs. 352 (C) Rs. 684 (D) None of these (E) Cannot be determined
Answer: B
Stacy was 5 days late returning items to the library. Stacy had checked out 40 books, 2 movies, and 3 magazines. Books are fined $0.25 per day, movies are fined $3.00 per day, and magazines are fined $0.50 per day. What is the average fine per item per day Stacy paid? Answer Choice: (A) $0.25 (B) $0.30 (C) $0.35 (D) $0.40 (E) none of the above
Answer: E
A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every three leaps of the hare, the jackal takes five leaps. Find the ratio of the speed of the hare to the speed of the jackal. Answer Choice: (A) 6:7 (B) 4:5 (C) 5:8 (D) 25:64 (E) 3:5
Answer: B
The length of a rectangular floor is more than its breadth by 300%. If Rs. 423 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) 24 (B) 25 (C) 26.6m (D) 26 (E) 27
Answer: C
What will be the output of the following code statements?
Integer a = 20, b = 30, c = 8 print (a × b / c) – c Answer Choice: (A) 65 (B) 67 (C) 70 (D) 26 (E) 81
Answer: B
A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles? Answer Choice: (A) 42 minutes (B) 72 minutes (C) 62 minutes (D) 32 minutes (E) 42 minutes
Answer: D
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places? Answer Choice: (A) 117 (B) 144 (C) 177 (D) 155 (E) 121
Answer: B
18 buckets of water fill a tank when the capacity of each bucket is 60 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 5 litres? Answer Choice: (A) 216 (B) 200 (C) 212 (D) 220 (E) 210
Answer: A
It takes 4 workers a total of 8 hours to build a giant machine with each worker working at the same rate. If four workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 3:00 PM, at what time will the machine be complete? Answer Choice: (A) 5:43 (B) 5:56 (C) 6:09 (D) 6:22 (E) 6:35
Answer: A
The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 40%, then the value of X is ? Answer Choice: (A) 25 (B) 18 (C) 16 (D) 8.9 (E) 14
Answer: D
What is the value of 4^5+4^7? Answer Choice: (A) 4^12 (B) 4^35 (C) 17(4^5) (D) 8^12 (E) 7(4^5)
Answer: C
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit W on this shipment? Answer Choice: (A) a) $100 (B) b) $115 (C) c) $125 (D) d) $130 (E) e) $135
Answer: C
In the equation x^2+bâ€¢x+c=0, b and c are constants, and x is a variable. If m is a root of x^2+bâ€¢x+c=0, and (x+n) is a factor of x^2+bâ€¢x+c=0, then b= Answer Choice: (A) m:n (B) m-n (C) m+n (D) n-m (E) m
Answer: D
A woman sells an article at 5% loss. Had she sold it for Rs.60 more she could have gained 10%. What is the cost price of the article? Answer Choice: (A) Rs.200/- (B) Rs.400/- (C) Rs.500/- (D) Rs.600/- (E) Rs.650/-
Answer: B
how many internal diagonals does a pentagon (five sided polygon) have? Answer Choice: (A) 5 (B) 8 (C) 9 (D) 10 (E) 12
Answer: A
A can do a job in 3 days less time than B. A works at it alone for 4 days and then B takes over and completes it. If altogether 14 days were required to finish the job, how many days would each of them take alone to finish it? Answer Choice: (A) 17 days, 20 days (B) 12 days, 15 days (C) 13 days, 16 days (D) 14 days, 11 days (E) None of these
Answer: B
The average weight of a group of boys is 20 kg. After a boy of weight 25 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Answer Choice: (A) 7.0 (B) 5.0 (C) 6.0 (D) 4.0 (E) 8.0
Answer: D
A military garrison in a wild frontier has 600 men who have provisions to last 20 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last? Answer Choice: (A) 13 1/3 (B) 9 1/3 (C) 11 3/3 (D) 12 1/2 (E) 12 3/4
Answer: B
Two trains of length 60 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? Answer Choice: (A) 10 sec (B) 32 sec (C) 17 sec (D) 20 sec (E) 89 sec
Answer: C
Tough and Tricky questions: Functions.
Let a be a positive integer. Let n#a equal n^(2a) . Then (2#3) + (3#2) – (3#3) is equal to Answer Choice: (A) 64 (B) 82 (C) -584 (D) 512 (E) 1522
Answer: C
Abby and Bobby type at constant rates of 80 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 500 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby? Answer Choice: (A) 1:40 PM (B) 1:50 PM (C) 2:05 PM (D) 2:10 PM (E) 2:20 PM
Answer: C
How many of the positive divisors of 120 are also multiples of 4 not including 120? Answer Choice: (A) 3. (B) 4. (C) 5. (D) 7. (E) 8.
Answer: C
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 81 hours and 9 hours respectively. The ratio of their speeds is Answer Choice: (A) 1 : 2 (B) 2 : 3 (C) 1 : 3 (D) 4 : 5 (E) None
Answer: C
In a group of cows and hens, the number of legs are 20 more than twice the number of heads. The number of cows is Answer Choice: (A) 5 (B) 7 (C) 10 (D) 12 (E) 14
Answer: C
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most? Answer Choice: (A) 172 (B) 268 (C) 215 (D) 257 (E) 652
Answer: C
A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 40 pints of Perfect Pink paint? Answer Choice: (A) 9 (B) 16 (C) 21 (D) 25 1/3 (E) 28 1/2
Answer: C
The proportion of the ages of Pooja and Charlie is 2 : 5, After 8 years, their ages will be in the proportion of 1 : 2. Then what is the variance in their current ages? Answer Choice: (A) 36 years (B) 28 years (C) 24 years (D) 19 years (E) 30 years
Answer: C
The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 50 minutes after it was poured was how many degrees Fahrenheit? Answer Choice: (A) 63.75 (B) 75 (C) 80 (D) 85 (E) 90
Answer: A
A man can row 9 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? Answer Choice: (A) 5.98 (B) 9.98 (C) 9.06 (D) 9.87 (E) 9.82
Answer: C
Two employees X and Y are paid a total of Rs. 560 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.254 (B) s.284 (C) s.290 (D) s.304 (E) s.380
Answer: A
Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 7 and 13.? Answer Choice: (A) 87 (B) 65 (C) 35 (D) 39 (E) 91
Answer: E
1480 men have provisions for 14 days. If 460 more men join them, for how many days will the provisions last now? Answer Choice: (A) 9.9 (B) 8.0 (C) 12.5 (D) 12.2 (E) 12.1
Answer: A
Given a certain number (Q), find Q given that 1 is 5% of 25% of Q? Answer Choice: (A) 80 (B) 60 (C) 95 (D) 100 (E) 110
Answer: A
Ravi purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit? Answer Choice: (A) 23% (B) 1.2% (C) 5.6% (D) 34.1% (E) 12.2%
Answer: C
The average of six numbers is 3.95. The average of two of them is 3.1, while the average of the other two is 3.85. What is the average of the remaining two numbers? Answer Choice: (A) 4.5 (B) 4.6 (C) 4.7 (D) 4.8 (E) 4.9
Answer: E
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station? Answer Choice: (A) 4/5 km (B) 4/6 km (C) 4/9 km (D) 4/1 km (E) 4/3 km
Answer: A
The price of rice falls by 40%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously? Answer Choice: (A) 5 kg (B) 15 kg (C) 25 kg (D) 30 kg (E) None
Answer: E
Rebecca's annual income is $20,and Jimmy's annual income is $10,. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income? Answer Choice: (A) 8 (B) 9 (C) 7.77 (D) 10 (E) 11
Answer: C
How many positive integers arethere from 0 to 1000 that leave a remainder of 3 on division by 7 & a remainder of 2 on division by 4? Answer Choice: (A) 30 (B) 36 (C) 38 (D) 42 (E) 46
Answer: B
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ? Answer Choice: (A) 5/6 (B) 5/9 (C) 2/9 (D) 5/7 (E) 1/9
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 C square inches. Which of the following equations must be true? Answer Choice: (A) 2W^2 + PW + 2C = 0 (B) 2W^2 − PW + 2C = 0 (C) 2W^2 − PW − 2C = 0 (D) W^2 + PW + C = 0 (E) W^2 − PW + 2C = 0
Answer: B
If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms R in the sequence are smaller than the average Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: C
The cost of an article is decreased by 10%. If the original cost is $60, find the decrease cost. Answer Choice: (A) 33 (B) 12 (C) 68 (D) 36 (E) 54
Answer: E
A and B started a business with their capitals Rs. 36,000 and 12,000 respectively. Annual profit will be distributed between them in the ratio Answer Choice: (A) 2:5 (B) 1:5 (C) 2:3 (D) 1:3 (E) 3:1
Answer: E
Which expression is the greatest? Answer Choice: (A) 3252/3257 (B) 3456/3461 (C) 3591/3596 (D) 3346/3351 (E) 3453/3458
Answer: C
The ratio of spinsters to cats is 2 to 9. If there are 63 more cats than spinsters, how many spinsters are there? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18
Answer: E
If the mode of Set D is equal to the median of Set D, Set D could be Answer Choice: (A) [0, 1, 2, 2, 3, 4, 5, 6] (B) [2, 2, 5, 7, 9] (C) [x, x+1, x+2, x+2, x+3, x+3] (D) [10, 102, 105, 105] (E) [4, 7, 10, 11, 25/2, 13, 13, 17, 29, 51, 51, 51]
Answer: C
The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 5 type B widgets is equal to the weight of 7 type C widgets. What is the ratio of the total weight of 1 type A widget and 1 type B widget, to the total weight of 1 type B widget and 1 type C widget? Answer Choice: (A) 1:2 (B) 2:3 (C) 3:4 (D) 4:5 (E) 5:6
Answer: C
If x and y are different integers and x^2 = xy, which of the following must be true ?
I. y = 0
II. x = 0
III. x = -y Answer Choice: (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III
Answer: B
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? Answer Choice: (A) 50 (B) 23 (C) 26 (D) 28 (E) 27
Answer: A
A man can row with a speed of 40 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is? Answer Choice: (A) 48 (B) 28 (C) 32 (D) 82 (E) 34
Answer: A
In a race, Mohan beats Sohan by 40m and Sohan beats Rohan by 80m. Mohan beats Rohan by 104m. Find the length of the race (in m). Answer Choice: (A) 50 (B) 100 (C) 150 (D) 200 (E) 250
Answer: D
Increasing the original price of a certain item by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by what percent? Answer Choice: (A) 31.25 (B) 37.5 (C) 30.0 (D) 32.75 (E) 32.25
Answer: E
80 is what percent of 160? Answer Choice: (A) 35% (B) 40% (C) 45% (D) 50% (E) 55%
Answer: D
In a business, A and C invested amounts in the ratio 2 : 1, and B also invest some amount . If Rs 180000 was their profit, B receive 48000, what was the investment ratio between A and B? Answer Choice: (A) 4 : 9 (B) 5 : 8 (C) 7 : 11 (D) 4 : 7 (E) None of these
Answer: A
If (1/2)^16 (1/81)^k = 1/18^16, then k = Answer Choice: (A) 8 (B) 12 (C) 16 (D) 24 (E) 36
Answer: A
If log	a/b	+	log	b/a= log (a + b), then: Answer Choice: (A) a + b = 1 (B) a - b = 1 (C) a = b (D) a2 - b2 = 1 (E) None of these
Answer: A
Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=2/3, what is the ratio of rectangle A’s area to rectangle B’s area? Answer Choice: (A) 4/9 (B) 2/3 (C) 3/2 (D) 9/2 (E) 9/4
Answer: A
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement. Answer Choice: (A) 9/41 (B) 3/42 (C) 9/42 (D) 7/41 (E) 7/40
Answer: C
Seven carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if six of the carpenters work together at their respective rates ? Answer Choice: (A) 11/15 (B) 3/5 (C) 11/30 (D) 47/70 (E) 5/9
Answer: D
If f(a)=6a+6, what is the value of (f(2a)+f(a)) ? Answer Choice: (A) 2a-4 (B) 8a-7 (C) 10a+12 (D) 12a+12 (E) 3a+5
Answer: C
If x = 6 and y = −2, what is the value of (x − 2y)^y? Answer Choice: (A) −100 (B) 0.01 (C) 0.25 (D) 4 (E) 8
Answer: B
Ted’s score was in the 80th percentile out of 200 students in one class. In another class of 100 students there were 15 scores higher than ted’s. If nobody had Ted’s score, then Ted’s was what percentile of the two classes combined? Answer Choice: (A) 86 (B) 84 (C) 82 (D) 80 (E) 78
Answer: E
Twenty people at a meeting were born during the month of September, which has 30 days. The probability that at least two of the people in the room share the same birthday is closest to which of the following? Answer Choice: (A) 10% (B) 33% (C) 67% (D) 90% (E) 99%
Answer: E
An aeroplane covers a certain distance at a speed of 120 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of: Answer Choice: (A) 520 (B) 620 (C) 820 (D) 740 (E) 720
Answer: A
A person was asked to state his age in years. His reply was , "Take my age 5 years hence, multiply it by 3 and subtract 3 times my age 5 years ago and you will know how old I am." What was the age of the person ? Answer Choice: (A) 18 (B) 92 (C) 27 (D) 26 (E) 30
Answer: E
A boy needs to deliver three different newspaper to three different house. The problem is that he doesn't know which newspaper belong to which house. Find the probability that the boy only got one house with the wrong newspaper. Answer Choice: (A) 0 (B) 1/3 (C) 2/3 (D) 4/27 (E) 1/27
Answer: A
Find the total number of prime factors in the expression (4)^11 x (7)^7 x (11)^2 Answer Choice: (A) 31 (B) 22 (C) 25 (D) 27 (E) 29
Answer: A
If ‘n‘ integers taken at random and multiplied together, then what is the probability that the last digit of the product is 1, 3, 7 or 9 ? Answer Choice: (A) (2/5)^n (B) (1/5)^n (C) (3/5)^n (D) (4/5)^n (E) (6/5)^n
Answer: A
A man sold 18 toys for Rs. 18900, gaining thereby the cost price of 3 toy find the cost price of a toy Answer Choice: (A) s. 600 (B) s. 800 (C) s.500 (D) s.900 (E) s. 990
Answer: D