loafeihong/math_mmlu_format huggingface dataset:
A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $5,630. By how much was the project over its budget? Answer Choice: (A)  $380 (B)  $540 (C)  $1,050 (D)  $1,380 (E)  $1,430
Answer: E
P is three times as fast as Q and working together, they can complete a work in 10 days. In how many days can Q alone complete the work? Answer Choice: (A) 11 days (B) 16 days (C) 40 days (D) 15 days (E) 19 days
Answer: C
The average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? Answer Choice: (A) 100 kg (B) 80 kg (C) 105 kg (D) 90 kg (E) None
Answer: C
How many even integers n, such that 20<=n<=220 are of the form 3k+4, where k is any natural number? Answer Choice: (A) 28 (B) 31 (C) 34 (D) 37 (E) 40
Answer: C
John has 10 pairs of matched socks. If he loses 5 individual socks, what is the greatest number of pairs of matched socks he can have left? Answer Choice: (A)  8 (B)  7 (C)  5 (D)  4 (E)  3
Answer: B
If a copier makes 5 copies every 5 seconds, then continues at this rate, how many minutes will it take to make 6,000 copies? Answer Choice: (A) 100 (B) 200 (C) 150 (D) 125 (E) 130
Answer: B
Souju's age is 125% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is her present age? Answer Choice: (A) 50 years (B) 62 years (C) 56 years (D) 60 years (E) 76 years
Answer: A
e.	Janet has to pay back her bank loan over 11 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, $125, $140, ?
How much will she pay back on the eleventh month? Answer Choice: (A) $155 (B) $145 (C) $135 (D) $125 (E) $130
Answer: B
If a survey shows that 30 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill? Answer Choice: (A)  56% (B)  64% (C)  72% (D)  85% (E)  86%
Answer: D
A football team lost 5 yards and then gained 13. What is the team's progress? Answer Choice: (A) 2 (B) 4 (C) 5 (D) 6 (E) 8
Answer: E
The average weight of 10 girls increases by 5 kg when a new girl comes in place of one of them weighing 50 kg. What might be the weight of the new girl? Answer Choice: (A) 90 kg (B) 100 kg (C) 95 kg (D) 85 kg (E) 92 kg
Answer: B
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 3 more than the average expenditure of all the nine. The total money spent by all of them was Answer Choice: (A) 26 (B) 40 (C) 29.25 (D) 30.375 (E) None of the above
Answer: D
In a sports club with 30 members, 17 play badminton and 21 play tennis and 2 do not play either. How many members play both badminton and tennis? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: D
How many three letter words are formed using the letters of the word TIME? Answer Choice: (A) 12 (B) 65 (C) 26 (D) 24 (E) 71
Answer: D
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? Answer Choice: (A) 1261 (B) 887 (C) 2889 (D) 277 (E) 2991
Answer: A
If y>x>0, which of the following must be true:
I. x^2>y^2
II. x^3 > y^3
III. |x|<y Answer Choice: (A) I only (B) II only (C) III only (D) II and III (E) I, II and III
Answer: C
A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type? Answer Choice: (A) 1 in 16 (B) 1 in 4 (C) 1 in 8 (D) 1 in 32 (E) 1 in 3
Answer: B
A person borrows 1000000 for 7 years at 3% p.a. simple interest. He immediately lends it to another person at 5 % p.a. for 7 years. Find his gain in the transaction per year. Answer Choice: (A) 20068 (B) 20050 (C) 20000 (D) 25000 (E) 28000
Answer: C
61 + 5 * 12 / (180/3) = ? Answer Choice: (A) 22 (B) 77 (C) 29 (D) 62 (E) 21
Answer: D
Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number? Answer Choice: (A) 126 (B) 230 (C) 120 (D) 144 (E) 250
Answer: A
A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 4 hours? Answer Choice: (A) 40% (B) 44% (C) 48% (D) 52% (E) 56%
Answer: A
Today my car meter reads as 72227 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom. Answer Choice: (A) 700 kms (B) 625 kms (C) 600 kms (D) 210 kms (E) 120 kms
Answer: A
A man crosses a 600 m long street in 5 minutes. What is his speed in km per hour? Answer Choice: (A) 7.2 (B) 8.2 (C) 3.5 (D) 4.5 (E) 6.5
Answer: A
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 36 days. If 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last? Answer Choice: (A) 15 days (B) 18 days (C) 21 days (D) 24 days (E) 27 days
Answer: B
The average age 10 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number? Answer Choice: (A) 20 (B) 99 (C) 77 (D) 26 (E) 12
Answer: A
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? Answer Choice: (A) 19 : 6 (B) 19 : 4 (C) 19 : 1 (D) 19 : 5 (E) 19 : 3
Answer: D
Kelly and Jody packed boxes with books. If Jody packed 30% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed? Answer Choice: (A) 1 to 6 (B) 1 to 4 (C) 3 to 7 (D) 3 to 5 (E) 2 to 3
Answer: C
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through how much? Answer Choice: (A) 175° (B) 155° (C) 145° (D) 165° (E) 195°
Answer: B
A plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD? Answer Choice: (A) 1828 sq.m (B) 2767 sq.m (C) 2789 sq.m (D) 7200 sq.m (E) 2651 sq.m
Answer: D
The cost of 5 kgs. of sugar is Rs.279. What is the cost of 1 kg of sugar? Answer Choice: (A) Rs.55 (B) Rs.55.80 (C) Rs.65.80 (D) Rs.65 (E) Rs.75
Answer: B
By how much is three-fifth of 350 greater than four- seventh of 210 ? Answer Choice: (A) 95 (B) 110 (C) 120 (D) None of these (E) Cannot be determined
Answer: D
What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.? Answer Choice: (A) Rs.10123.77 (B) Rs.10123.21 (C) Rs.10123.20 (D) Rs.10123.28 (E) Rs.10123.21
Answer: C
Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 80 watch exactly two channels. How many watch exactly one channel? Answer Choice: (A) 185 (B) 160 (C) 175 (D) 190 (E) 195
Answer: B
A bag contains 4 yellow, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls? Answer Choice: (A) 1/5 (B) 2/9 (C) 3/11 (D) 4/17 (E) 2/3
Answer: A
Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.2,10,000 earned at the end of 3 years from the start of the business in 1999? Answer Choice: (A) Rs 45000 (B) Rs 50000 (C) Rs 70000 (D) Rs 75000 (E) None
Answer: C
How many integers from 0 to 56, inclusive, have a remainder of 1 when divided by 3 ? Answer Choice: (A) 15 (B) 16 (C) 17 (D) 18 (E) 19
Answer: E
How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months? Answer Choice: (A) 3587.58 (B) 3587.59 (C) 3587.5 (D) 3587.52 (E) 3587.56
Answer: C
N number of persons decide to raise 3 lakhs by equal contributions from each. If they contributed 50 each extra, the contribution would be 3.25 lakhs. How many persons are there? Answer Choice: (A) 600 (B) 400 (C) 450 (D) Cannot be determined (E) None of these
Answer: E
If the sales tax be reduced from 4 (1/3) % to 2 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 8000? Answer Choice: (A) 146.69 (B) 146.66 (C) 146.62 (D) 146.61 (E) 146.6
Answer: B
In how many ways can you seat 8 people on a bench if one of them does not want to sit in one of the two middle seats or at either end? Answer Choice: (A) 17,540 (B) 18,360 (C) 19,320 (D) 20,160 (E) 21,480
Answer: D
Express 25 mps in kmph? Answer Choice: (A) 22 (B) 87 (C) 90 (D) 77 (E) 22
Answer: C
How many odd factors does 250 have? Answer Choice: (A)  3 (B)  4 (C)  5 (D)  6 (E)  8
Answer: B
A mirror 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches? Answer Choice: (A) 96 (B) 94 (C) 28 (D) 44 (E) 18
Answer: A
If the perimeter of a rectangular garden is 700 m, its length when its breadth is 100 m is? Answer Choice: (A) 299 m (B) 777 m (C) 200 m (D) 250 m (E) 128 m
Answer: D
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds Q that it is an ace? Answer Choice: (A) 1/52 (B) 1/26 (C) 1/13 (D) 1/4 (E) 5/13
Answer: C
A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 10 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes? Answer Choice: (A) 1200 (B) 996 (C) 1110 (D) 896 (E) 1400
Answer: C
In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B? Answer Choice: (A) 8 (B) 9 (C) 7 (D) 6 (E) 2
Answer: A
Boy purchased two flats for Rs.5,00,000. On one he gains 15 % while on the other he losses 15%. How much does he gain or lose? Answer Choice: (A) 1.25% (B) 2.1% (C) 2.25% (D) 2.65% (E) 3%
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is: Answer Choice: (A) 3 : 1 (B) 3 : 2 (C) 3 : 6 (D) 3 : 7 (E) 3 : 9
Answer: B
A no.when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no.17? Answer Choice: (A) 2 (B) 7 (C) 9 (D) 10 (E) 15
Answer: D
How many cuboids of length 5 m, width 4 m and height 3 m can be farmed from a cuboid of 16 m length, 10 m width and 12 m height. Answer Choice: (A) 32 (B) 28 (C) 36 (D) 40 (E) 50
Answer: A
A school has received 50% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise? Answer Choice: (A) $400 (B) $177.78 (C) $320 (D) $277 (E) $200
Answer: C
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a × b × c < a^3
II. 5b < bc
III. a + b + c > a^3 Answer Choice: (A) I only (B) II only (C) III only (D) II and III (E) I, II, and III
Answer: C
Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 7000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally? Answer Choice: (A) 10,000 (B) 11,600 (C) 17,000 (D) 14,000 (E) 16,400
Answer: C
72 hens cost Rs. __ 96.7__. Then what does each hen cost, where two digits in place of ‘__’ are not visible or are written in illegible hand? Answer Choice: (A) Rs. 3.23 (B) Rs. 5.11 (C) Rs. 5.51 (D) Rs. 7.22 (E) None
Answer: C
what is the nearest no. to 2304 which is divisible by 21? Answer Choice: (A) 2289 (B) 2310 (C) 2333 (D) 2456 (E) 2309
Answer: B
A manufacturer of a certain type of screw rejects any screw whose length is less than 2.47 centimeters or greater than 2.53 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable? Answer Choice: (A) |k + 0.03| > 2.5 (B) |k — 0.03| <= 2.5 (C) |k — 2.5| > 0.03 (D) |k — 2.5| >= 0.06 (E) |k — 2.5| <= 0.03
Answer: E
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present? Answer Choice: (A) 22 (B) 77 (C) 40 (D) 26 (E) 18
Answer: C
The least perfect square, which is divisible by each of 21, 36 and 66 is Answer Choice: (A) 213414 (B) 213424 (C) 213434 (D) 213444 (E) None of these
Answer: D
What is the perimeter of a triangle with sides 7 and 4 that has the maximum possible area? Answer Choice: (A) 11 + √5 (B) 11 + √6 (C) 11 + 4√7 (D) 11 + √65 (E) 11 + 3√17
Answer: D
A certain collage has total of 700 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects? Answer Choice: (A) 100 (B) 80 (C) 75 (D) 155 (E) 50
Answer: D
If 20% of a = b, then b% of 20 is the same as: Answer Choice: (A) 4% of a (B) 5% of a (C) 6% of a (D) 3% of a (E) 2% of a
Answer: A
If (1+y)x=xwhich of the following must be true? Answer Choice: (A) x=-1 or y=0 (B) x=0 or y=-1 (C) x=1 or y=1 (D) x=-1 or y=-1 (E) y=0 or x=0
Answer: E
If −2≤e≤0 and n > 19, which of the following CANNOT be the value of en? Answer Choice: (A) -48 (B) -38 (C) -20 (D) 0 (E) 19
Answer: E
A 8% stock yielding 10% is quoted at : Answer Choice: (A) 80 (B) 110 (C) 112 (D) 120 (E) 160
Answer: A
A women paid $1650 a year in interest on a loan with an annual rate of 11%. How w\much more money could she have borrowed for the same amount of interest if she had been able to get a loan amount with an annual rate of 10%? Answer Choice: (A) $165 (B) $1500 (C) $1815 (D) $ 15000 (E) $16500
Answer: B
Train A left station T at 3:30 p.m. and traveled on straight tracks at a constant speed of 60 miles per hour. Train B left station T on adjacent straight tracks in the same direction that train A traveled on. Train B left station T 40 minutes after train A, and traveled at a constant speed of 75 miles per hour. Train B overtook train A on these straight tracks. At what time did train B overtake train A? Answer Choice: (A) 4:10 (B) 5:40 (C) 6:10 (D) 6:50 (E) 7:30
Answer: D
An error 2% in excess is made while measuring the side of asquare. The % of error in the calculated area of the square is? Answer Choice: (A) 4.00% (B) 4.04% (C) 4.26% (D) 4.56% (E) 4.67%
Answer: B
Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 38 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture? Answer Choice: (A) 2:5 (B) 5:16 (C) 3:5 (D) 4:7 (E) 14:5
Answer: B
What is the unit digit in (4137)754? Answer Choice: (A) 1 (B) 3 (C) 7 (D) 9 (E) 6
Answer: D
If x and y are integers and x + y = 6, which of the following must be true? Answer Choice: (A) x and y are consecutive integers. (B) If x < 0, then y > 0. (C) If x > 0, then y < 0. (D) Both x and y are even. (E) Both x and y are less than 5.
Answer: B
The greatest possible length which can be used to measure exactly the length 6m, 3m 85cm, 12 m 95 cm is Answer Choice: (A) 2 (B) 7 (C) 5 (D) 8 (E) 9
Answer: C
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone. Answer Choice: (A) 1 ½ days (B) 2 ½ days (C) 3 ½ days (D) 4 ½ days (E) 5 ½ days
Answer: A
The probability of having a girl is identical to the probability of having a boy. In a family with four children, what is the probability that all the children are of the same gender? Answer Choice: (A) 1/8. (B) 1/3 (C) 1/4 (D) 1/6 (E) 1/2
Answer: A
The sum of two consecutive number is 67. Which is the larger number? Answer Choice: (A) 34 (B) 43 (C) 44 (D) 45 (E) 46
Answer: A
A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train? Answer Choice: (A) 270 m (B) 210 m (C) 340 m (D) 130 m (E) 140 m
Answer: A
Simplify (3^y + 3^y + 3^y) (3^y + 3^y + 3^y) Answer Choice: (A)  4^4y * 3^3y (B)  9^y+1 (C)  16^y + 9^y (D)  12^y (E)  4^y * 12^y
Answer: B
A circular well with a diameter of 2 meters, is dug to a depth of 14 meters. What is the volume of the earth dug out. Answer Choice: (A) 40m3 (B) 42m3 (C) 44m3 (D) 46m3 (E) None of these
Answer: C
D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 144:25 and BC=13 cm, then find the length of DE. Answer Choice: (A) 12 (B) 13 (C) 14 (D) 11 (E) 15
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good? Answer Choice: (A) 20/67 (B) 20/63 (C) 20/68 (D) 20/28 (E) 20/27
Answer: B
Which of the following inequalities is always true for any non-negative real number 'x' and 'y'? Answer Choice: (A) √(x+y) <= √x + √y (B) √(x-y) <= √x - √y (C) √(x+y) = √x + √y (D) √(x-y) >= √x - √y (E) √(x+y) >= √x + √y
Answer: A
The number 83 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers? Answer Choice: (A) 17 (B) 16 (C) 15 (D) 14 (E) 13
Answer: C
After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ? Answer Choice: (A) 37 (B) 29 (C) 11 (D) 15 (E) 12
Answer: D
Suppose you flip a fair coin 8 times. What is the probability that, in 8 flips, you get at least one head? Answer Choice: (A) 55/256 (B) 255/256 (C) 155/256 (D) 5/256 (E) 201/256
Answer: B
If athul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream Answer Choice: (A) 1kmph (B) 2 kmph (C) 1.5 kmph (D) 12 kmph (E) 15 kmph
Answer: A
The breath of a rectangular landscape is 6 times its length. There is a playground in it whose area is 4200 square mtr & which is 1/7 th of the total landscape. What is the breath of the landscape? Answer Choice: (A) 520 (B) 420 (C) 320 (D) 550 (E) 450
Answer: B
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 12 years at the same rate? Answer Choice: (A) 2P (B) 3P (C) 4P (D) 5P (E) 7P
Answer: B
A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? Answer Choice: (A) 50 (B) 8 (C) 60 (D) 42 (E) 32
Answer: C
What is the greatest positive integer n such that 3^n is a factor of 36^300? Answer Choice: (A) 100 (B) 200 (C) 300 (D) 600 (E) 900
Answer: D
If x and y are different prime numbers, each greater than 6, which of the following must be true? I. x+y is an even integer II. xy is an odd integer III. (x/y) is not an integer Answer Choice: (A) II only (B) II,III only (C) I,II and III (D) III only (E) I only
Answer: C
A sum of Rs. 2795 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? Answer Choice: (A) 1642 (B) 1640 (C) 1720 (D) 2795 (E) 6386
Answer: C
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.0 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007? Answer Choice: (A) 63,000 (B) 2,000,000 (C) 2,030,000 (D) 2,040,000 (E) 2,300,000
Answer: C
7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.4 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean? Answer Choice: (A) Four (B) Six (C) Nine (D) Ten (E) Twelve
Answer: E
If x/y = 5/z, then 25z^2 = Answer Choice: (A) x²y² (B) 25y²/ x² (C) 625x²y² (D) y²/ x² (E) 625y²/ x²
Answer: E
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24. Answer Choice: (A) 9974 (B) 9125 (C) 9565 (D) 9997 (E) None of these
Answer: E
If 50! × 50!/50^n is an integer, what is the largest possible value of n? Answer Choice: (A) 36 (B) 24 (C) 8 (D) 4 (E) 2
Answer: B
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is? Answer Choice: (A) 56.8 m2 (B) 82.9 m2 (C) 52.8 m2 (D) 17.9 m2 (E) 72.9 m2
Answer: C
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3:7. If 5 kg of the mixture is sold at 25% profit, find the profit made? Answer Choice: (A) Rs. 15.50 (B) Rs. 16.90 (C) Rs. 13.50 (D) Rs. 16.50 (E) Rs. 16.40
Answer: D
A car averages 75 mph for the first 4 hours of a trip and averages 60 mph for each additional hour. The average speed for the entire trip was 70 mph. How many hours long is the trip? Answer Choice: (A) 6 (B) 78 (C) 8 (D) 9 (E) 10
Answer: A
Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip? Answer Choice: (A) 7 (B) 8 (C) 6 (D) 5 (E) 4
Answer: B
In covering a distance of 42 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is: Answer Choice: (A) 5 kmph (B) 6 kmph (C) 6.25 kmph (D) 7 kmph (E) 7.8 kmph
Answer: D
On a map, 1 inch represents 28 miles. How many C inches would be necessary to represent a distance of 383.6 miles? Answer Choice: (A) 5.2 (B) 7.4 (C) 13.7 (D) 21.2 (E) 28.7
Answer: C
Each side of a certain parallelogram has length 8. If the area of the parallelogram is 16. Which of the following is the measure of one of its angles? Answer Choice: (A) 14.5 (B) 45 (C) 60 (D) 90 (E) 120
Answer: A
Half a number plus 5 is 11.What is the number? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14
Answer: C
How many seconds will a 900 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 287 (B) 288 (C) 500 (D) 400 (E) 121
Answer: D