loafeihong/math_mmlu_format huggingface dataset:
In a certain supermarket, a triangular display of cans is arranged in 10 rows, numbered 1 through 10 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 150 cans in the entire display, how many cans are in the seventh row? Answer Choice: (A) 13 (B) 15 (C) 17 (D) 19 (E) 21
Answer: D
Average of 13 results is 65. If the average of first six results is 61 and average of last six results is 59 Then find the seventh result? Answer Choice: (A) 118 (B) 120 (C) 125 (D) 130 (E) 134
Answer: C
Four bells ring at an interval of 4, 8, 6, 10 minutes. If they toll together at 2:00 A.M, when will they toll together again? Answer Choice: (A) 4 am (B) 5 am (C) 6 am (D) 7 am (E) 8 am
Answer: A
The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short. Answer Choice: (A) 38 (B) 40 (C) 45 (D) 48 (E) 49
Answer: B
A reduction of 20% in the price of salt enables a lady to obtain 4 kgs more for Rs.100, find the original price per kg? Answer Choice: (A) 6.16 (B) 6.21 (C) 6.25 (D) 2.4 (E) 2.7
Answer: C
A rectangular window is twice as long as it is wide. If its perimeter is 12 feet, then what are its dimensions in feet? Answer Choice: (A) 2 by 4 (B) 5/3 by 10/3 (C) 2.5 by 5 (D) 3 by 6 (E) 10/3 by 20/3
Answer: A
99^n is such a number begin with 8, least value of n? Answer Choice: (A) 11 (B) 10 (C) 9 (D) 8 (E) n does not exist
Answer: A
If u clothes can be purchased for v dollars, how many clothes can be purchased for z dollars? Answer Choice: (A) u/z (B) z/uv (C) uv/z (D) uz/v (E) u/vz
Answer: D
The area of a triangle is with base 4m and height 5m? Answer Choice: (A) 65 m2 (B) 10 m2 (C) 70 m2 (D) 90 m2 (E) 12 m2
Answer: B
The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is? Answer Choice: (A) 280 (B) 290 (C) 342 (D) 250 (E) 253
Answer: C
Two pipes can fill a cistern in 14 and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, 32 minutes extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it ? Answer Choice: (A) 110 hours (B) 112 hours (C) 115 hours (D) 100 hours (E) None of these
Answer: B
In how many ways can Ram choose a vowel and a constant from the letters of the word ALLAHABAD? Answer Choice: (A) 4 (B) 6 (C) 9 (D) 5 (E) 3
Answer: A
The ratio of the areas of a square and rhombus whose base is same is: Answer Choice: (A) 1:2 (B) 2:1 (C) 1:1 (D) 3:1 (E) 2:3
Answer: C
A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $200. The cost for 1 bat and 6 balls is $220, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $210 for the purchase? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
If the perimeter of square region W and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of W Answer Choice: (A) 25:16 (B) 24:25 (C) 5:6 (D) 4:5 (E) 4:9
Answer: B
If x and y are numbers such that (x+4)(y-4)=0, what is the smallest possible value of x^2 + y^2 Answer Choice: (A) 0 (B) 9 (C) 12 (D) 16 (E) 18
Answer: D
24 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence. Answer Choice: (A) 24 (B) 23 (C) 44 (D) 45 (E) 46
Answer: A
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal? Answer Choice: (A) 30 (B) 20 (C) 40 (D) 57 (E) 63
Answer: A
In a 6 digit ID number, what is the probability of exactly four digits are the digit 0? Answer Choice: (A) 9/2000 (B) 81/20000 (C) 12/36001 (D) 81/16000 (E) 84/3600
Answer: B
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction Q of the total distance did he cover while the sun was shining on him? Answer Choice: (A) 1/4 (B) 4/5 (C) 1/5 (D) 1/6 (E) 1/7
Answer: E
A, B, C, D, E, F are the only six families in Indira Nagar. A, B, C, D, E and F has 7, 8, 10, 13, 6, and 10 member in their families respectively. If 1 member from all the six families left their respective families to accommodate themselves in the hostel of IIM Lucknow, then the average number of member now in each family of Indira nagar is Answer Choice: (A) 8 (B) 9 (C) 10 (D) 13 (E) 15
Answer: A
Two taps can fill a tank in 12 and 18 minutes respectively. Both are kept open for 2 minutes and the first is turned off. In how many minutes more will the tank be filled ? Answer Choice: (A) 15 min. (B) 20 min. (C) 11 min. (D) 13 min. (E) None of these
Answer: D
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) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: E
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is? Answer Choice: (A) 176 m (B) 198 m (C) 197 m (D) 150 m (E) 168 m
Answer: D
The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 40 percent, then the value of T decreases by what percent? Answer Choice: (A) 25% (B) 33 ¹/₃% (C) 50% (D) 66 ²/₃% (E) 75%
Answer: B
If 10 litres of an oil of Rs.55 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre? Answer Choice: (A) Rs.49.17 (B) Rs.51.03 (C) Rs.58.66 (D) Rs.55.33 (E) None of the above
Answer: C
What should be added to 4872 so that it may become a perfect square? Answer Choice: (A) 24 (B) 25 (C) 26 (D) 27 (E) 28
Answer: E
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1234 (B) 1345 (C) 1564 (D) 1670 (E) 1635
Answer: E
There is a sequence An for a positive integer n such that when An-2 is divided by An-1 the remainder is An. If A3=6, A4=0, which of the following can be the value of A1? Answer Choice: (A) 48 (B) 50 (C) 52 (D) 56 (E) 58
Answer: A
In a colony of 70 residents, the ratio of the number of men and women is 5: 2. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony? Answer Choice: (A) A)1:5 (B) B)1:1 (C) C)1:8 (D) D)1:9 (E) E)1:3
Answer: A
Keats Library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 32% of the total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased? Answer Choice: (A) 60% (B) 72% (C) 88% (D) 95% (E) 110%
Answer: C
Which of the following is the best approximation for y?
1/2−1/3+1/6−1/10+1/12−1/14+1/16 Answer Choice: (A) 0.1 (B) 0.31 (C) 0.35 (D) 0.4 (E) 0.6
Answer: B
The students of a particular class were given two tests for evaluation. Twenty Five percent of the class cleared both the tests and forty five percent of the students were able to clear the first test.
You have to calculate the percentage of those students who passed the first test and were also able to pass the second test. How will you do it? Answer Choice: (A) 48% (B) 55% (C) 60% (D) 71% (E) 80%
Answer: C
How many different possible arrangements can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's? Answer Choice: (A) 360 (B) 720 (C) 900 (D) 1800 (E) 5040
Answer: C
Caleb spends $70.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy? Answer Choice: (A) 5 (B) 10 (C) 20 (D) 41 (E) 45
Answer: D
A tourist purchased a total of $1,700 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost? Answer Choice: (A) $1,430 (B) $1,310 (C) $1,290 (D) $1,470 (E) $1,150
Answer: D
The least number which when divided by 2,3, 4 and 6 leaves a remainder 3, but when divided by 9 leaves no remainder, is Answer Choice: (A) 17 (B) 27 (C) 25 (D) 33 (E) None of these
Answer: B
A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 20% so that the customer could not buy the required amount of the product. The customer managed to buy only 70% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase? Answer Choice: (A) 16% (B) 18% (C) 20% (D) 22% (E) 24%
Answer: A
If (A-B-C+D = 12) and (A+B-C-D = 6), what is the value of (B-D)^2? Answer Choice: (A) 4. (B) 9. (C) 12. (D) 16. (E) 64.
Answer: B
Of the families in City X in 2001, 25 percent owned a personal computer. The number of families in City X owning a computer in 2008 was 15 percent greater than it was in 2001, and the total number of families in City X was 6 percent greater in 2008 than it was in 2001. what percent of the families in City X owned a personal computer in 2008? Answer Choice: (A) 27.12% (B) 23.12% (C) 25.55% (D) 31.22% (E) 56.22%
Answer: A
A rectangular cube has a volume of 9 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices Answer Choice: (A) 24 (B) 48 (C) 81 (D) 72 (E) 100
Answer: D
John throws a coin until a series of seven consecutive heads or three consecutive tails appears. What is the probability that the game will end after the eighth throw? Answer Choice: (A) 1/128 (B) 2/16 (C) 3/16 (D) 7/16 (E) 9/16
Answer: A
Bhajan Singh purchased 120 reams of paper at Rs 80 per ream. He spent Rs 280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs 72 to the coolie. If he wants to have a gain of 8 %, what must be the selling price per ream? Answer Choice: (A) 90 (B) 89 (C) 87.48 (D) 86 (E) 85
Answer: A
Seed mixture X is 40% ryegrass and 60% bluegrass by weight; seed mixture Y is 25% ryegrass and 75% fescue. If a mixture of X and Y contains 34% ryegrass, what percent of the weight of the mixture is from mixture X? Answer Choice: (A) 25% (B) 40% (C) 50% (D) 60% (E) 75%
Answer: D
The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275 , then the other is Answer Choice: (A) 344 (B) 387 (C) 308 (D) 299 (E) 882
Answer: C
Find the greatest number, which will divide 260, 281 and 303, leaving 7, 5 and 4 as remainders respectively. Answer Choice: (A) 23 (B) 24 (C) 25 (D) 26 (E) 27
Answer: A
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years. Answer Choice: (A) 893.09 (B) 392.98 (C) 306.04 (D) 830.48 (E) 345.91
Answer: C
In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 6 rows in all and a total of 135 bricks in the wall, how many bricks does the bottom row contain ? Answer Choice: (A) 21 (B) 20 (C) 22 (D) 19 (E) 24
Answer: B
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 57 kmph, find the speed of the stream? Answer Choice: (A) 19 (B) 88 (C) 14 (D) 12 (E) 17
Answer: A
In how many ways can you line up 7 wrestlers in a row if one of them, Houdidi, cannot be in the middle or at the either end? Answer Choice: (A) 1,850 (B) 929 (C) 828 (D) 724 (E) 2,880
Answer: E
A total of 115 homes within Verde county were damaged during a terrible storm. The county had an emergency fund of $509,862.50 to be disbursed among households that incurred damage. The funds were distributed so that two story homes received $6,219.70 whereas one story homes received $3109.85. What was the number of damaged one story homes? Answer Choice: (A) 75 (B) 80 (C) 95 (D) 100 (E) 115
Answer: A
If the area of circle is 960 sq cm then its circumference? Answer Choice: (A) 11 (B) 88 (C) 99 (D) 266 (E) 110
Answer: E
How many arrangements can be made out of the letters of the word 'ENGINEERING'? Answer Choice: (A) 277200 (B) 92400 (C) 69300 (D) 23100 (E) 85600
Answer: A
If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 5x+ 5y >5z
III. yz > xz
IV. xy > y + z Answer Choice: (A)  I only (B)  II only (C)  II and III only (D)  II and IV only (E)  III and IV only
Answer: B
On a map the distance between two mountains is 310 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain? Answer Choice: (A) 14.83 (B) 14.81 (C) 14.91 (D) 14.82 (E) 14.12
Answer: C
If the fraction 9/6 is equivalent to 6/a, then a is Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: A
Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=2/5, what is the ratio of rectangle A’s area to rectangle B’s area? Answer Choice: (A) 2/5 (B) 2/25 (C) 5/2 (D) 5/4 (E) 4/25
Answer: E
The sum of four consecutive even numbers is 52, Find the third number ? Answer Choice: (A) 14 (B) 10 (C) 12 (D) 16 (E) 20
Answer: A
An insect leaps 48 centimeters in 1.2 seconds. What is its speed? Answer Choice: (A) 0.4 meters per second (B) 4 meters per second (C) 40 meters per second (D) 4 centimeters per second (E) 0.4 centimeters per second
Answer: A
A man sells two articles for Rs.3600 each and he gains 40% on the first and loses 40% on the next. Find his total gain or loss? Answer Choice: (A) 16% loss (B) 400 (C) 4000 (D) 324 (E) 8% LOSS
Answer: A
If x and y are integers and x divided by y is 22.15, then which of the following integers is a possible value for the remainder when x is divided by y? I. 15 II. 5 III. 3 Answer Choice: (A) II,III only (B) I,III only (C) I,II only (D) I only (E) III only
Answer: B
Solution for 4.75+.303+.432 Answer Choice: (A) 2.91 (B) 5.911 (C) 5.485 (D) 5.986 (E) 2.999
Answer: C
The price of an item is discounted 6 percent on day 1 of a sale. On day 2, the item is discounted another 6 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1? Answer Choice: (A) 82.3% (B) 84.6% (C) 85.6% (D) 89.6% (E) 79.2%
Answer: B
In a recent head-to-head run-off election, 12,000 absentee ballets were cast. 1/2 of the absentee ballets were thrown out and 1/2 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive? Answer Choice: (A) 2,000 (B) 3,000 (C) 6,000 (D) 8,000 (E) 9,000
Answer: B
A person covered one-fourth of the total distance at 22 kmph and remaining distance at 24 kmph. What is the average speed for the total distance? Answer Choice: (A) 21 (7/8)kmph (B) 23 (7/15)kmph (C) 23 (7/3)kmph (D) 27 (1/13)kmph (E) 21 (1/8)kmph
Answer: B
In what time will a train 120 m long cross an electric pole, it its speed be 160 km/hr? Answer Choice: (A) 2.5 sec (B) 2.9 sec (C) 2.7 sec (D) 8.7 sec (E) 8.5 sec
Answer: C
A person travels equal distances with speeds of 50km/hr,100km/hr and 120km/hr and takes a total time of 23 minutes. The total distance is? Answer Choice: (A) 15km (B) 30km (C) 45km (D) 50km (E) 60km
Answer: B
The price of a book is increased from $300 to $360. What is the % of increase in its price? Answer Choice: (A) 10% (B) 20% (C) 40% (D) 50% (E) 60%
Answer: B
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If the rabbit`s diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture? Answer Choice: (A) 100 (B) 140 (C) 150 (D) 160 (E) 200
Answer: B
50 % of 2 is equal to Answer Choice: (A) 0.2 (B) 1.0 (C) 0.6 (D) 0.7 (E) 0.9
Answer: B
Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 40 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science? Answer Choice: (A) 81 (B) 159 (C) 166 (D) 285 (E) 314
Answer: E
The time a passenger train takes to cross another freight train is twice when the passenger train crosses the freight train running in opposite directions. What is the ratio of their speeds? Answer Choice: (A) 1:3 (B) 3:1 (C) 1:4 (D) 4:1 (E) 1:5
Answer: B
A person took some amount with some interest for 3 years, but increase the interest for 1%, he paid Rs.240/- extra, then how much amount he took? Answer Choice: (A) Rs.8000/- (B) Rs.6000/- (C) Rs.4000/- (D) Rs.7000/- (E) None of these
Answer: A
The present worth of a sum due sometime hence is Rs.576 and the banker’s gain is Rs.16.The true discount is Answer Choice: (A) Rs.36 (B) Rs.72 (C) Rs.48 (D) Rs.96 (E) None
Answer: D
In a certain school, 25% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 36. What is the total number of students in the school? Answer Choice: (A) 72 (B) 80 (C) 120 (D) 150 (E) 100
Answer: B
If 1+2+3+...+n=n (n+1), then
3 (1+3+5+....+99)=? Answer Choice: (A) 7000 (B) 7250 (C) 7500 (D) 7750 (E) 6750
Answer: C
ASvennumber is defined as a five-digit number which goes according to the following rules: the leftmost digit is even, any digit to the right of an even digit must be an odd digit, and any digit to the right of an odd digit can only be one of the digits 1 or 7. How many different 4-digit numbers areSvennumbers? Answer Choice: (A) 20 (B) 80 (C) 160 (D) 220 (E) 250
Answer: A
Rajan and Rakesh started a business and invested Rs. 20,000 and Rs. 25,000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs. 15,000. At the end of the year there was a profit of Rs. 4,600. What is the share of Mukesh? Answer Choice: (A) 900 (B) 100 (C) 1100 (D) 1200 (E) 1500
Answer: D
A single discount equivalent to the discount series of 20%, 10% and 5% is? Answer Choice: (A) 31.9 (B) 31.7 (C) 31.6 (D) 31.54 (E) 31.1
Answer: C
W, B, C are three consecutive positive integers (W>B>C). What is the value of the expression 2W +B +3C? Answer Choice: (A) 6A+7. (B) 5A+1. (C) 5A-1. (D) 6A-5. (E) 6W-7.
Answer: E
Find the compound interest on $ 16,000 at 20% per annum for 9 months, compounded quarterly Answer Choice: (A) 2532 (B) 2552 (C) 2524 (D) 2522 (E) 2512
Answer: D
Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.? Answer Choice: (A) 109 (B) 12 (C) 99 (D) 81 (E) 22
Answer: B
A man can row 4.8 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ? Answer Choice: (A) 1.9 (B) 1.7 (C) 1.2 (D) 1.5 (E) 1.6
Answer: E
What is the area of an equilateral triangle whose one side length is 40? Answer Choice: (A) 100√3 (B) 200√3 (C) 300√3 (D) 350√3 (E) 400√3
Answer: E
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck. Answer Choice: (A) $ 231 (B) $ 545 (C) $ 145 (D) $ 643 (E) $ 112
Answer: C
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B - 2C? Answer Choice: (A) 6A+7. (B) A+3. (C) 5A-1. (D) 6A-5. (E) 6A-7.
Answer: B
50, 47, 45, 42, 40, 37, 35, ? Answer Choice: (A) 33 (B) 32 (C) 31 (D) 30 (E) 29
Answer: B
ramesh,ram,kareem and Mohan collected coins of different countries. they collected 100 together. none collected less than 10.each collected an even number. each collected a different number. based on these, we can say that the number of coins collected by the boy who collected the most could not have exceeded Answer Choice: (A) 54 (B) 64 (C) 58 (D) 60 (E) 62
Answer: B
64 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part? Answer Choice: (A) 13.25 (B) 28 (C) 30 (D) 13.2 (E) 14
Answer: B
A woman is 18 years older than her son. In 3 years, her age will be twice the age of her son. The present age of her son is Answer Choice: (A) 18 (B) 17 (C) 15 (D) 16 (E) 14
Answer: C
Rs.8000 become Rs.9724 in a certain interval of time at the rate of 5% per annum of C.I. Find the time? Answer Choice: (A) 6 YEARS (B) 7 (C) 5 (D) 3 (E) 4
Answer: E
Robert ate 7 chocolates, Nickel ate 5 chocolates. How many more chocolates did Robert ate than nickel? Answer Choice: (A) A)4 (B) B)7 (C) C)9 (D) D)5 (E) E)2
Answer: E
The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is? Answer Choice: (A) 22 (B) 67 (C) 40 (D) 88 (E) 11
Answer: C
What is the Positive integer that can be Added by 595 to make it a perfect square? Answer Choice: (A) 2*3*6 (B) 3*2*5 (C) 5*3*3 (D) 2*3 (E) 3*5*4
Answer: B
Two airplanes take off from one airfield at noon. One flies due east at 203 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.? Answer Choice: (A) 166 (B) 332 (C) 406 (D) 483 (E) 566
Answer: C
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 9 (E) 5
Answer: B
A grocer stacked oranges in a pile. The bottom layer was rectangular with 5 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer? Answer Choice: (A)  2 (B)  4 (C)  6 (D)  7 (E)  9
Answer: E
If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction. Answer Choice: (A) 1/12 (B) 1/8 (C) 1/6 (D) 1/4 (E) 1/2
Answer: A
In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/12 of the housing units, including 1/3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders? Answer Choice: (A) 23/30 (B) 11/15 (C) 47/60 (D) 1/6 (E) 2/15
Answer: C
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1792? Answer Choice: (A) 1600 (B) 2777 (C) 2889 (D) 27670 (E) 2771
Answer: A
The ratio of ducks and frogs in a pond is 31 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond ? Answer Choice: (A) 148 (B) 152 (C) 156 (D) 169 (E) None
Answer: D
If n is an integer greater than 7, which of the following must be divisible by 3? Answer Choice: (A) 1. n (n+1) (n-4) (B) 2. n (n+2) (n-1) (C) 3. n (n+3) (n-5) (D) 4. n (n+4) (n-2) (E) 5. n (n+5) (n-6)
Answer: D
A miniature roulette wheel is divided into 9 equal sectors, each bearing a distinct integer from 1 to 9, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun four times, approximately what is the probability that the product of the four winning sectors’ integers will be even? Answer Choice: (A) 50% (B) 67% (C) 80% (D) 90% (E) 95%
Answer: D