loafeihong/math_mmlu_format huggingface dataset:
Excluding stoppages, the speed of a bus is 60 kmph and including stoppages, it is 50 kmph. For how many minutes does the bus stop per hour? Answer Choice: (A) 10 min (B) 15 min (C) 12 min (D) 8 min (E) 16 min
Answer: A
The sum of the first 70 positive even integers is 4,970. What is the sum of the first 70 odd integers? Answer Choice: (A) 4500 (B) 4600 (C) 4300 (D) 4900 (E) 5000
Answer: D
A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 11:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke? Answer Choice: (A) 34 (B) 38 (C) 36 (D) 40 (E) 42
Answer: E
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together ? Answer Choice: (A) 10080 (B) 4989600 (C) 120960 (D) 250035 (E) None of these
Answer: C
When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/6 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year? Answer Choice: (A) 3/10 (B) 2/5 (C) 1/2 (D) 2/3 (E) 6/5
Answer: C
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $620 (before payroll deductions)? Answer Choice: (A) 670 (B) 710 (C) 750 (D) 790 (E) 830
Answer: C
The three competitors in a race have to be randomly chosen from a group of four men and five women. How many different such trios contain at least one woman? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90
Answer: D
Find the face value of 5 in 5432100 Answer Choice: (A) 50 (B) 5 (C) 50000 (D) 500000 (E) 5000000
Answer: B
An analyst will recommend a combination of 2 industrial stocks, 3 transportation stocks, and 3 utility stocks. If the analyst can choose from 6 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 9 stocks are possible? Answer Choice: (A) 12 (B) 19 (C) 60 (D) 180 (E) 720
Answer: C
In a certain encryption pattern, HARD is coded as 1357 and SOFT is coded as 2468, What will 21448 stand for? Answer Choice: (A) SHAFT (B) SHORT (C) SHOOT (D) SHART (E) SHAOT
Answer: C
if 5x*x+14*x+k=0 having two reciprocal roots find the value of k. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: E
If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 7 * 10 =? Answer Choice: (A) 65 (B) 68 (C) 72 (D) 80 (E) 82
Answer: E
A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, and 4, how many palindromes are possible? Answer Choice: (A) 32 (B) 64 (C) 96 (D) 128 (E) 256
Answer: B
Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in. Answer Choice: (A) 17 (B) 13 (C) 15 (D) 16 (E) 12
Answer: E
f the LCM of two integers a, b (where b> a and a>1) is a*b, then which of the following can not be true? Answer Choice: (A) Both a and b can be Prime Numbers. (B) Both a and b can be consecutive integers. (C) All Prime factors of a must be Prime factors of b. (D) a and b do not share any Prime factors. (E) a and b do not have a common factor
Answer: C
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? Answer Choice: (A) 1350 (B) 1357 (C) 1328 (D) 1329 (E) 1829
Answer: A
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 8 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) 7.2 hrs (E) 8 hrs
Answer: E
Which of the following numbers doesn't belong to the group? Answer Choice: (A) 14 (B) 16 (C) 20 (D) 28 (E) 36
Answer: A
In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 10,290,000, how many red beads were removed? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: B
By selling an article at Rs.700, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%? Answer Choice: (A) s.600 (B) s.480 (C) s.500 (D) s.450 (E) s.420
Answer: E
If the area of circle is 706 sq cm then its circumference? Answer Choice: (A) 21 (B) 88 (C) 66 (D) 94 (E) 90
Answer: D
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 54 seconds. What is the length of each train (in meters)? Answer Choice: (A) 45 (B) 55 (C) 65 (D) 75 (E) 85
Answer: D
Which of the following fractions is greater than 3/4 and less than 5/6?
1. 3/4 2. 5/6 3. 1/2 4. 2/3 5. 4/5 6. 9/10 Answer Choice: (A) 4/5 (B) 1/2 (C) 9/10 (D) 5/6 (E) 2/3
Answer: A
Find the sum of prime numbers lying between 58 and 72? Answer Choice: (A) 198 (B) 258 (C) 252 (D) 272 (E) None
Answer: B
If a and b are different positive integers and a + b = ab(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) I and III
Answer: A
A car travels uphill at 30 km/hr and downhill at 50 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car? Answer Choice: (A) 32kmph (B) 33kmph (C) 34kmph (D) 35kmph (E) 36kmph
Answer: D
A circle passes through two adjacent vertices of a square and is tangent to one side of the
square. If the side length of the square is 2, what is the radius of the circle? Answer Choice: (A) 3/2 (B) 4 /3 (C) 5 /4 (D) 6 /5 (E) None of these
Answer: C
n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1800, then what is the smallest possible value of n? Answer Choice: (A) 8 (B) 10 (C) 12 (D) 15 (E) 18
Answer: B
One hour after Yolanda started walking from X to Y, a distance of 80 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 8 miles per hour and Bobâs was 9 miles per hour, how many miles had Bob walked when they met? Answer Choice: (A) 38.07 (B) 40 (C) 42 (D) 39 (E) 40.07
Answer: A
Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 33 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?
I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks Answer Choice: (A) 1/3 (B) 3 (C) 27/8 (D) 9 (E) 12
Answer: C
There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ? Answer Choice: (A) 20 (B) 30 (C) 50 (D) 60 peacocks (E) 80
Answer: D
What is the two-digit number? I. Sum of the digits is 7. II. Difference between the number and the number obtained by interchanging the digits is 9. III. Digit in the ten's place is bigger than the digit in the unit's place by 1. Answer Choice: (A) I and II (B) II and III (C) I and III (D) I and II as well as I and III (E) All
Answer: D
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 3000 Km? Answer Choice: (A) 100. (B) 25. (C) 30. (D) 150. (E) 50.
Answer: D
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ? Answer Choice: (A) 1/4 (B) 3/4 (C) 4/7 (D) 4/11 (E) 5/7
Answer: B
55th word of SHUVANK in dictionary?? Answer Choice: (A) AHSNKUV (B) AHNKSVU (C) AHNKUSV (D) AHNKUVS (E) AHNKUVV
Answer: A
If the price of a book is first decreased by 25% and then increased by 20%, then the decrease in the price will be? Answer Choice: (A) 20% (B) 10% (C) 25% (D) 18% (E) 30%
Answer: B
A person covers a distance in 21 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes. Answer Choice: (A) 18 m/s (B) 4 m/s (C) 14 m/s (D) 10 m/s (E) 5 m/s
Answer: C
Barbara has 10 shirts and 8 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants? Answer Choice: (A) 41 (B) 66 (C) 36 (D) 70 (E) 74
Answer: D
A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 960gm. for a kg.His gain is …%. Answer Choice: (A) 4.16% (B) 5.36% (C) 4.26% (D) 6.26% (E) 7.26%
Answer: A
The average age of a group of persons going for picnic is 16 years. Twelve new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is Answer Choice: (A) 5 (B) 10 (C) 12 (D) 40 (E) 50
Answer: C
What percent is 36 paisa's of 12 rupees? Answer Choice: (A) 2 % (B) 3 % (C) 4 % (D) 5 % (E) 6 %
Answer: B
9C2 + 9C3 +10C4=? Answer Choice: (A) 300 (B) 330 (C) 360 (D) 390 (E) 410
Answer: B
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize? Answer Choice: (A) 10 (B) 15 (C) 17 (D) 24 (E) 26
Answer: D
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ? Answer Choice: (A) 60.5 (B) 35.5 (C) 25.5 (D) 62 (E) 62.5
Answer: E
In 12 pumps can raise 1218 tons of water in 11 days of 9 hrs each, how many pumps will raise 2030 tons of water in 12 days of 11 hrs each? Answer Choice: (A) 12 (B) 15 (C) 18 (D) 21 (E) 22
Answer: B
In the City 45% of the population lived in the East at the Beginning of the Year and the rest of the City lived in the West. During the Same Year, the population of City grew by 5.0%. If the population in the West grew by 2.5%, by how much did the population grow in the remaining side? Answer Choice: (A) 5.9% (B) 2.5% (C) 5.0% (D) 8.2% (E) 7.5%
Answer: E
What is the difference between the C.I. on Rs. 7000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly? Answer Choice: (A) s.2.04 (B) s.2.08 (C) s.2.02 (D) s.2.86 (E) s.2.42
Answer: D
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m^3) is: Answer Choice: (A) 2130 (B) 3620 (C) 4512 (D) 5620 (E) 5120
Answer: E
Weights of two friends Ram and Shyam are in the ratio 3:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased? Answer Choice: (A) 18% (B) 10% (C) 21% (D) 16% (E) None
Answer: A
The average age of 20 students in a class is 5years. If teacher's age is also included then average increases 1year then find the teacher's age? Answer Choice: (A) 28 (B) 24 (C) 20 (D) 22 (E) 18
Answer: C
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 108. What was the number he chose? Answer Choice: (A) 123 (B) 267 (C) 277 (D) 267 (E) 120
Answer: A
140 college students were asked in a survey if they preferred Windows or Mac brand computers. 80 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 50 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers? Answer Choice: (A) 25 (B) 10 (C) 50 (D) 60 (E) 75
Answer: B
If n is a positive integer such that
n!/(n-2)! = 342, find n. Answer Choice: (A) 17 (B) 18 (C) 19 (D) 20 (E) 21
Answer: C
The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 19 positive perfect squares? Answer Choice: (A) 1,010 (B) 1,164 (C) 1,240 (D) 1,316 (E) 2,470
Answer: E
A merchant marks his goods up by 40% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount? Answer Choice: (A) 12% (B) 10% (C) 21% (D) 15% (E) 17%
Answer: A
The radius of a cone is 49 m, slant height is 35 m. Find the curved surface area? Answer Choice: (A) 5160 (B) 5390 (C) 6430 (D) 6720 (E) 7280
Answer: B
Amit Kumar invested an amount of 15,000 at compound interest rate of 10 pcpa for a period of two years. What amount will he receive at the end of two years? Answer Choice: (A) 18,000 (B) 18,500 (C) 17,000 (D) 17,500 (E) None of these
Answer: E
At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling "rock on!", what are the chances that the next person who yells "rock on!" will be a geek? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: C
The product of n^2 consecutive positive integers is always divisible by Answer Choice: (A) n^2 -1 (B) (n+1)! (C) 2n +1 (D) n^2 + 1 (E) n!
Answer: A
If a boat goes 5km upstream in 25 minutes and the speed of the stream is 7 kmph, then the speed of the boat in still water is ? Answer Choice: (A) 18 (B) 19 (C) 20 (D) 21 (E) 22
Answer: B
How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6, 7 and 8 such that the numbers are divisible by 9? Answer Choice: (A) 2 (B) 4 (C) 5 (D) 6 (E) 8
Answer: E
Write 450,000,000,000 in scientific notation. Answer Choice: (A) 400.50 * 10 11 (B) 400.5 * 10 11 (C) 40.5 * 10 11 (D) 4.5 * 10 11 (E) 450.00 * 10 11
Answer: D
The Racing magic takes 60 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time? Answer Choice: (A) 3 (B) 6 (C) 9 (D) 12 (E) 15
Answer: B
Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’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.45,000 (B) Rs.50,000 (C) Rs.70,000 (D) Rs.75,000 (E) None of these
Answer: C
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table? Answer Choice: (A) Rs.6727 (B) Rs.6735 (C) Rs.6721 (D) Rs.6725 (E) Rs.6729
Answer: D
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 2500 resolutions? Answer Choice: (A) 1187 m (B) 1704 m (C) 2179 m (D) 3520 m (E) 4297 m
Answer: D
The present population of a town is 500. Population increase rate is 10% p.a. Find the population of town before 2 years? Answer Choice: (A) 512 (B) 615 (C) 810 (D) 413 (E) 123
Answer: D
70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 23.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times? Answer Choice: (A) one (B) two (C) three (D) four (E) five
Answer: B
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be: Answer Choice: (A) 12 years (B) 14 years (C) 18 years (D) 20 years (E) 22 years
Answer: D
In the third grade of Windblown School there are 108 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests? Answer Choice: (A) 0. (B) 6. (C) 8. (D) 10 (E) 12
Answer: A
There are 4 more women than men on Centerville's board of education. If there are 14 members on the board, how many are women? Answer Choice: (A)  3 (B)  4 (C)  6 (D)  7 (E)  9
Answer: E
One urn contains two pieces of candy{one green and one red. A second urn
contains four pieces of candy{one green and three red. For each urn, each piece of candy is
equally likely of being picked. You pick a piece of candy from each urn and eat the two chosen
candies.
If you eat exactly one piece of green candy, you draw a second piece of candy from the urn
still containing a green piece of candy. You now eat the candy you just chose. What is the
probability that you ate two pieces of green candy? Answer Choice: (A) 1/8 (B) 1/4 (C) 3/8 (D) 1/2 (E) 5/8
Answer: C
An athlete runs 200 meters in 24 seconds. His speed is ? Answer Choice: (A) 10 km/hr (B) 17 k/hr (C) 27 km/hr (D) 30 km/hr (E) None of these
Answer: D
In an election between the two candidates ,The candidates who gets 60% of votes polled is wined by 280 votes majority. What is the total number of votes polled? Answer Choice: (A) 1400 (B) 1500 (C) 1550 (D) 1600 (E) 1650
Answer: A
Two numbers are in the ratio 3 : 4. If their L.C.M. is 48. what is sum of the numbers? Answer Choice: (A) 28 (B) 56 (C) 76 (D) 84 (E) 85
Answer: A
How many options are there for a code consisting of 2 even digits followed by 2 odd digits? Answer Choice: (A) 4^5 (B) 5^4 (C) 5^5 (D) 4^4 (E) 10^4
Answer: B
Evaluate the expression
[x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 = ?
when x = -5 and y = -2 Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) None
Answer: A
If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ? Answer Choice: (A) 20% (B) 25% (C) 18% (D) 30% (E) none of these
Answer: B
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely? Answer Choice: (A) 11 sec (B) 15 sec (C) 19 sec (D) 12 seconds (E) 20 sec
Answer: D
If y = 35p, and p is prime, what is the greatest common factor of y and 14p, in terms of p? Answer Choice: (A) p (B) 2p (C) 5p (D) 7p (E) p^2
Answer: D
A man can do a piece of work in 6days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone? Answer Choice: (A) 5 (B) 5 1/2 (C) 7 1/2 (D) 6 (E) 9 1/2
Answer: D
Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true?
I. The maximum possible range of the set is greater than 33.
II. The median can never be an even number.
III. If y = 37, the average of the set will be greater than the median. Answer Choice: (A) I only (B) I and II only (C) I and III only (D) III only (E) I, II, and III
Answer: E
A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Answer Choice: (A) 5/12 (B) 0.3489 (C) 1/2 (D) 3/4 (E) 5/6
Answer: B
If apples are bought at the rate of 30 for Rs.100. How many apples must be sold for Rs.100 so as to gain 20%? Answer Choice: (A) 28 (B) 25 (C) 20 (D) 22 (E) 23
Answer: B
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length? Answer Choice: (A) 13.1 sec (B) 12.1 sec (C) 22.1 sec (D) 32.1 sec (E) 13.2 sec
Answer: B
Nicky and Cristina are running a 300 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him? Answer Choice: (A) 40 (B) 50 (C) 30 (D) 60 (E) 45
Answer: C
Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of (a - b)/2 ? Answer Choice: (A) 1 (B) 10 (C) 19 (D) 5 (E) 2
Answer: D
Replace X with the appropriate number in
4 , 5 , 14 , 15 , 24 , 25 , X Answer Choice: (A) 30 (B) 29 (C) 34 (D) 21 (E) 20
Answer: C
What should come in place of the question mark (?) in the following equation?
10000+ 566 = 45+ ? Answer Choice: (A) 73689 (B) 35876 (C) 45943 (D) 10521 (E) 35786
Answer: D
By selling 15 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Answer Choice: (A) 8 (B) 7 (C) 6 (D) 4 (E) 10
Answer: E
A train 500 m long can cross an electric pole in 10 sec and then find the speed of the train? Answer Choice: (A) 140 (B) 150 (C) 160 (D) 170 (E) 180
Answer: E
A sum at simple interests at 13 ½ % per annum amounts to Rs.2502.50 after 4 years find the sum. Answer Choice: (A) 1525 (B) 1625 (C) 1725 (D) 1825 (E) 1925
Answer: B
Chang Li has pet cockroaches that multiply at the same rate every week.
The first week he had 5, the next week he had 10, the second week he had 20, and the fourth week he had 80. How many did he have on week 3? Answer Choice: (A) 30 (B) 25 (C) 40 (D) 60 (E) 50
Answer: C
If the positive integer x is a multiple of 5 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?
I. 8
II. 12
III 18 Answer Choice: (A) II only (B) I and II only (C) I and III only (D) II and III only (E) I, II and III
Answer: C
Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is? Answer Choice: (A) 767 km (B) 975 km (C) 678 km (D) 900 km (E) 546 km
Answer: D
All of the students of the Music High School are in the band, the orchestra, or both. 90 percent of the students are in only one group. There are 84 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only? Answer Choice: (A) 24 (B) 27 (C) 30 (D) 33 (E) 36
Answer: E
Danny bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents? Answer Choice: (A) 50RW/Q. (B) 50QR/W. (C) 25RQ/W. (D) 25RW/Q. (E) RW/(4Q).
Answer: D
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is? Answer Choice: (A) 23 (B) 21 (C) 52 (D) 56 (E) 12
Answer: B
When a certain perfect square is increased by 148, the result is another perfect square. What is the value of the original perfect square? Answer Choice: (A) 1296 (B) 1369 (C) 1681 (D) 1764 (E) 2500
Answer: A
If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was? Answer Choice: (A) 120000 (B) 120029 (C) 187899 (D) 178968 (E) 789698
Answer: A
If G = 775 × 778 × 781, what is the remainder when G is divided by 14? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: A
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? Answer Choice: (A) 1245 (B) 4175 (C) 5412 (D) 4712 (E) 6400
Answer: E
ABCDEFGHI is a regular polygon with nine sides. What is the measure in degrees of angle ACB? Answer Choice: (A) 18 (B) 20 (C) 25 (D) 27 (E) 30
Answer: B