loafeihong/math_mmlu_format huggingface dataset:
Three consecutive odd integers are in increasing order such that the sum of the last two integers is 21 more than the first integer. Find the three integers? Answer Choice: (A) 7, 9, 29 (B) 7, 2, 10 (C) 15,17,19 (D) 7, 9, 11 (E) 7, 9, 29
Answer: C
If a train, travelling at a speed of 360 kmph, crosses a pole in 5 sec, then the length of train is? Answer Choice: (A) 381 m (B) 112 m (C) 500 m (D) 125 m (E) 433 m
Answer: C
Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 20 such machines produce in 4 minutes ? Answer Choice: (A) 648 (B) 1800 (C) 2700 (D) 10800 (E) 3600
Answer: E
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is: Answer Choice: (A) 15 (B) 16 (C) 18 (D) 25 (E) 27
Answer: B
A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% sunflower. If a customer purchases a mix of the two types of birdseed that is 50% sunflower, what percent of the mix is Brand A? Answer Choice: (A) 40% (B) 45% (C) 50 % (D) 55 % (E) 60 %
Answer: E
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 772 m (B) 167 m (C) 245 m (D) 267 m (E) 127 m
Answer: C
A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at p.a for 2 years. Find his gain in the transaction per year Answer Choice: (A) 112.50 (B) 119.5 (C) 112.58 (D) 112.57 (E) 112.52
Answer: A
Average age of employees working in a department is 30 years. In the next year, ten workers will retire. What will be the average age in the next year?
I.	Retirement age is 60 years.
II.	There are 50 employees in the department. Answer Choice: (A) I alone sufficient while II alone not sufficient to answer (B) II alone sufficient while I alone not sufficient to (C) Either I or II alone sufficient to answer (D) Both I and II are not sufficient to answer (E) Both I and II are necessary to answer
Answer: E
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 5 rows in all and a total of 50 bricks in the wall, how many bricks does the bottom row contain ? Answer Choice: (A) 12 (B) 10 (C) 9 (D) 8 (E) 11
Answer: D
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together? Answer Choice: (A) 720 (B) 730 (C) 750 (D) 800 (E) 900
Answer: A
Alice can fill Q cans of paint in 2 minutes. If there are R cans of paint in one gallon, how many gallons can Alice fill in 36 minutes? Answer Choice: (A) 36Q/R (B) 18Q/R (C) 18QR (D) 18R/Q (E) 36R/Q
Answer: B
The cost price of an book is 64% of the marked price. Calculate the gain percent after allowing a discount of 13%? Answer Choice: (A) 31.5% (B) 35.9% (C) 37.5% (D) 39.5% (E) 30.5%
Answer: B
A is 6 times as fast as B and takes 100 days less to complete a work than B. Find the total number of days taken by A and B to complete the work. Answer Choice: (A) 120/7 (B) 120/9 (C) 120/76 (D) 120/6 (E) 120/1
Answer: A
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat? Answer Choice: (A) 200 m (B) 700 m (C) 800 m (D) 100 metre (E) 1004m
Answer: D
5 x 1.6 - 2 x 1.4/1.3 = ? Answer Choice: (A) 3 (B) 0 (C) 5 (D) 4 (E) 2
Answer: D
Find the odd man out
445, 221, 109, 46, 25, 11, 4 Answer Choice: (A) 221 (B) 109 (C) 46 (D) 25 (E) 21
Answer: C
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 243^5? Answer Choice: (A) 5 (B) 8 (C) 10 (D) 15 (E) 25
Answer: E
If p, q, and r are positive numbers such that (p/(p+q))(10) + (q/(p+q))(20)=r and if p<q which of the following could be the value of r? Answer Choice: (A) 10 (B) 12 (C) 15 (D) 18 (E) 30
Answer: D
A can do a piece of work 20 days. B can do work in 35 days. In how many days they will complete the work together? Answer Choice: (A) 15 days (B) 16.32 days (C) 12.72 days (D) 17 days (E) 18 days
Answer: C
Each of the 48 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 15 students sign up for the poetry club, 23 students for the history club, and 21 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 32% of the boys and 32% of the girls passed, then the total percentage of failed candidates is? Answer Choice: (A) 35.67% (B) 64.75% (C) 68.00% (D) 69.57% (E) none of these
Answer: C
Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid $ 2178? Answer Choice: (A) $ 2300 (B) $ 2650 (C) $ 2670 (D) $ 2200 (E) $ 2540
Answer: D
A shopkeeper sold an article at $100 with 30% profit. Then find its cost price? Answer Choice: (A) $120 (B) $100 (C) $91 (D) $77 (E) $69
Answer: D
The price of a VCR is marked at Rs. 12,000. If the successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it? Answer Choice: (A) Rs. 8400 (B) Rs. 8500 (C) Rs. 8721 (D) Rs. 8856 (E) None
Answer: C
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.5 sec (B) 2.9 sec (C) 3.5 sec (D) 7.5 sec (E) 5 sec
Answer: E
Sahil purchased a machine at Rs 12000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it. Answer Choice: (A) Rs. 22000 (B) Rs. 24000 (C) Rs. 26000 (D) Rs. 27000 (E) None of these
Answer: D
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is: Answer Choice: (A) 49 (B) 50 (C) 53.5 (D) 55 (E) 57
Answer: A
A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400 Answer Choice: (A) 4% (B) 5% (C) 6% (D) 7% (E) 8%
Answer: D
If two positive numbers are in the ratio 1/9 : 1/7, then by what percent is the second number more than the first? Answer Choice: (A) 67%. (B) 70%. (C) 60%. (D) 28.6%. (E) 80%.
Answer: D
Which of the following fractions T, if written as a decimal, would have a 2 in the thousandths place ? Answer Choice: (A)  3/11 (B)  7/9 (C)  1/8 (D)  4/7 (E)  1/6
Answer: A
What number has a 5:1 ratio to the number 10? Answer Choice: (A) 74 (B) 50 (C) 94 (D) 59 (E) 48
Answer: B
In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 4 out of 10 consecutive days in Rwanda? Answer Choice: (A) 4/7 (B) 3/7 (C) 105/512 (D) 4/28 (E) 28/135
Answer: C
A walks at 10 kmph and 10 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A? Answer Choice: (A) 100km (B) 150km (C) 50km (D) 120km (E) 200km
Answer: E
20% of a 6 liter solution and 60% of 4 liter solution are mixed. What percentage of the mixture of solution Answer Choice: (A) 36% (B) 18% (C) 35% (D) 34% (E) 30%
Answer: A
Ravi purchased a car and a mobile phone for Rs. 150000 and Rs. 10000 respectively. He sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent. Overall he make a. Answer Choice: (A) loss of Rs. 200 (B) loss of Rs. 2000 (C) profit of Rs. 100 (D) profit of Rs. 200 (E) None of these
Answer: B
If a positive integer n is divisible by both 2 and 7, then n must also be divisible by which of the following?
I. 14
II. 9
III. 42 Answer Choice: (A) None (B) I only (C) II only (D) I and II (E) II and III
Answer: B
A student chose a number, multiplied it by 4, then subtracted 138 from the result and got 102. What was the number he chose? Answer Choice: (A) 60 (B) 120 (C) 130 (D) 140 (E) 150
Answer: A
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 289 m (B) 676 m (C) 240 m (D) 239 m (E) 186 m
Answer: C
If a is a positive integer then 6^(2a) + (144^a)/(2^(2a)) = Answer Choice: (A) 2 × 36^a (B) 2 / 36^a (C) 3 × 36^a (D) 2 × 64^a (E) 2 × 18^a
Answer: A
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? Answer Choice: (A) 30/16 (B) 30/10 (C) 30/14 (D) 30/13 (E) 30/11
Answer: D
The profit earned by selling on article for 900 is double the loss incurred when the same article is sold for 450. At what price should the article be sold to make 25% profit? Answer Choice: (A) 750 (B) 800 (C) 850 (D) 860 (E) 890
Answer: A
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 480. The number of hares in the zoo is? Answer Choice: (A) 40 (B) 99 (C) 77 (D) 66 (E) 221
Answer: A
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Answer Choice: (A) Rs. 4991 (B) Rs. 5991 (C) Rs. 6001 (D) Rs. 6991 (E) Rs. 6976
Answer: A
The probability of pulling a black ball out of a glass is 1/X. The probability of pulling a black ball out of a glass and breaking the glass is 1/Y. What is the probability of breaking the glass? Answer Choice: (A) 1/(XY). (B) Y/X (C) X/Y (D) 1/(X+Y). (E) 1/(X-Y).
Answer: C
A statue is being carved by a sculptor. The original piece of marble weighed 200 kg. In the first week 20 percent is cut away. In the second week 25 percent of the remainder is cut away. In the third week the statue is completed when 35 percent of the remainder is cut away. What is the weight of the final statue? Answer Choice: (A) 97.5 kg (B) 103 kg (C) 108 kg (D) 125 kg (E) 117 kg
Answer: A
A collection of books went on sale, and 2/3 of them were sold for $1.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold? Answer Choice: (A) $180 (B) $135 (C) $108 (D) $60 (E) $54
Answer: C
If the perimeter of a rectangular garden is 500 m, its length when its breadth is 100 m is? Answer Choice: (A) 299 m (B) 777 m (C) 200 m (D) 167 m (E) 150 m
Answer: E
At what rate percent on simple interest will Rs.1800 amount to Rs.2000 in 5 years? Answer Choice: (A) 4 % (B) 3 6/7 % (C) 2 6/7 % (D) 3.47% (E) 6 %
Answer: D
we have 5 weights one of 2 kg one of 3 kg one of 5 kg one of 1 kg one of 10 kg by using only four weight how many wight u can weight Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: E
In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 25 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake? Answer Choice: (A) 36 (B) 2^4*3 (C) 24 (D) 38 (E) 47
Answer: C
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 14 days. If B starts, they take a day more. How long does it take to complete the task if they both work together? Answer Choice: (A) 12 (B) 14 (C) 10 (D) 11 (E) 13
Answer: B
A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered? Answer Choice: (A) 70% (B) 60% (C) 30% (D) 10% (E) 20%
Answer: C
How much is 40% of 60 is greater than 4/5 of 25? Answer Choice: (A) 2 (B) 5 (C) 12 (D) 8 (E) 4
Answer: E
If 0.12 ÷ x2 = 12, than x = ? Answer Choice: (A) 0.001 (B) 0.01 (C) 0.1 (D) 1 (E) 0
Answer: C
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done? Answer Choice: (A) 14 days (B) 21 days (C) 22 days (D) 11 days (E) 43 days
Answer: D
From 2008 to 2009, the number of Easter eggs in a certain egg hunt rose 20%, then fell 17% from 2009 to 2010. From 2008 to 2009, the ratio of Easter eggs to Easter bunnies in the same hunt fell 20%, then rose 22% from 2009 to 2010. By what approximate percent did the number of bunnies change over the full period from 2008 to 2010? Answer Choice: (A) 5% increase (B) 2% increase (C) 1% decrease (D) 3% decrease (E) 6% decrease
Answer: B
If Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate? Answer Choice: (A) 12x/y (B) 12y/x (C) x/(12y) (D) 13/(xy) (E) xy/12
Answer: A
The area of a rectangular field is equal to 500 square meters. Its perimeter is equal to 90 meters. Find the width of this rectangle. Answer Choice: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25
Answer: D
The sum of two numbers is 30 and their product is 1050. What will be the sum of their reciprocals? Answer Choice: (A) (1/35) (B) (11/210) (C) (35/4) (D) (75/8) (E) None
Answer: A
Tough and Tricky questions: Remainders.
1^1 + 2^2 + 3^3 + ... + 10^10+11^11 is divided by 5. What is the remainder? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
What is 35% of 4/13 of 780? Answer Choice: (A) 62 (B) 73 (C) 84 (D) 95 (E) 106
Answer: C
If a + b - c = 2d, and if a - b + c =-2e, then a = Answer Choice: (A) 2(d + e) (B) d – e (C) (d + e)/2 (D) d-2e (E) e-d
Answer: B
Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it. Answer Choice: (A) 4000 (B) 5000 (C) 6000 (D) 7000 (E) None of these
Answer: C
A typist uses a sheet measuring 20cm by 30 cm lenghtwise. If a margin of 2 cm is left on each side and a 3 cm margin on the top and bottom, then what is the percentage of page used by the typist? Answer Choice: (A) 62 % (B) 63 % (C) 64 % (D) 65 % (E) 66 %
Answer: C
A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre Answer Choice: (A) Rs680 (B) Rs780 (C) Rs880 (D) Rs480 (E) Rs980
Answer: A
A semicircle has a radius of 12. What is the approximate perimeter of the semicircle? Answer Choice: (A) 58 (B) 62 (C) 66 (D) 70 (E) 74
Answer: B
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit? Answer Choice: (A) 20000 (B) 24000 (C) 34000 (D) 35000 (E) 30000
Answer: E
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 600 resolutions. Answer Choice: (A) 843.03 m (B) 844.03 m (C) 845.03 m (D) 846.03 m (E) 847.03 m
Answer: B
The probability of two events A and B are 0.15 and 0.40 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________ Answer Choice: (A) 0.45 (B) 0.4 (C) 0.5 (D) 0.05 (E) 0.6
Answer: E
The area of a square is 144 m². Find its perimeter. Answer Choice: (A) 18 m (B) 28 m (C) 38 m (D) 42 m (E) 48 m
Answer: E
In a room filled with 7 people, 1 people have exactly 1 sibling in the room and 6 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings? Answer Choice: (A) 5/21 (B) 3/7 (C) 4/21 (D) 5/7 (E) 16/21
Answer: C
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is? Answer Choice: (A) 158 m (B) 150 m (C) 110 m (D) 130 m (E) 157 m
Answer: B
Two pipes can fill a tank in 12 minutes and 15 minutes. An outlet pipe can empty the tank in 10 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 26 (E) 28
Answer: A
If x% of y is the same as 4/5 of 80, then the value of xy is? Answer Choice: (A) 4250 (B) 6205 (C) 5260 (D) 4852 (E) 6400
Answer: E
A bag holds 5 red marbles and 5 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red? Answer Choice: (A) 1/6 (B) 2/5 (C) 3/10 (D) 2/9 (E) 1/2
Answer: D
If you drove at average speed of 66 miles per hour, what distance, in miles, did you drive in 99 minutes? Answer Choice: (A) 100.2 miles (B) 112.7 miles (C) 120.5 miles (D) 108.9 miles (E) 105.6 miles
Answer: D
How many pieces of 85 cm length can be cut from a rod of 17 meters long? Answer Choice: (A) 50 (B) 40 (C) 30 (D) 20 (E) 10
Answer: D
The midpoints of three of the edges of a cube are
labelled A, B, and C as shown in the diagram. What
is the measure of L ABC ? Answer Choice: (A) 90o (B) 105o (C) 120o (D) 135o (E) 150o
Answer: C
If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 6? Answer Choice: (A) 2/3 (B) 3/8 (C) 1/2 (D) 5/8 (E) 3/4
Answer: A
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together. Answer Choice: (A) 720 (B) 740 (C) 770 (D) 780 (E) 790
Answer: A
A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is: Answer Choice: (A) 50 (B) 90 (C) 80 (D) 28 (E) 93
Answer: C
Find large number from below question The difference of two numbers is 1385. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1235 (B) 1345 (C) 1678 (D) 1767 (E) 1659
Answer: E
There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that boys and girls sit alternately? Answer Choice: (A) 1/12! (B) 12C6/12! (C) 6!6!/12! (D) 2∗6!6!/12! (E) 6!7!/12!
Answer: D
A car is traveling 85 kilometers per hour. How many meters does the car travel in one minute? Answer Choice: (A) 1250m/min (B) 1360m/min (C) 2560m/min (D) 1670m/min (E) 1416.67m/min
Answer: E
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it? Answer Choice: (A) 87 days (B) 20 days (C) 16 days (D) 19 days (E) 36 days
Answer: B
A certain country had a total annual expenditure of $7.2 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure? Answer Choice: (A)  $ 500 (B)  $1,000 (C)  $2,000 (D)  $3,000 (E)  $5,000
Answer: D
Two employees M and N are paid a total of $583 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week? Answer Choice: (A) $245 (B) $255 (C) $265 (D) $275 (E) $285
Answer: C
Product of two co-prime numbers is 117. Their L.C.M should be: Answer Choice: (A) 1 (B) 117 (C) 116 (D) equal to their H.C.F (E) Cannot be calculated
Answer: B
Brand A coffee costs twice as much as brand B coffee. If a certain blend is 1/2 brand A and 1/2 brand B. what fraction of the cost of the blend is Brand A? Answer Choice: (A) a. 1/3 (B) b. 2/5 (C) 3. 1/2 (D) 4. 2/3 (E) 5. 3/4
Answer: D
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is: Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: A
Set A = {1, 2, 3, 4, 5, 6, d}
Which of the following possible values for d would cause Set A to have the smallest standard deviation? Answer Choice: (A)  1 (B)  2.5 (C)  3 (D)  3.5 (E)  7
Answer: D
A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 3 days. B can do the work alone in? Answer Choice: (A) 18 (B) 12 (C) 11 (D) 19 (E) 114
Answer: A
Three friends Alice, Bond and Charlie divide $1105 amongs them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive? Answer Choice: (A) $495 (B) $510 (C) $480 (D) $375 (E) $360
Answer: A
A man is 30 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is Answer Choice: (A) 28 years (B) 22 years (C) 23 years (D) 24 years (E) 26 years
Answer: A
The average weight of A, B and C is 42 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is: Answer Choice: (A) 33 kg (B) 31 kg (C) 32 kg (D) 40 kg (E) 37 kg
Answer: D
A and B can do a piece of work in 8 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in? Answer Choice: (A) 13 1/3 (B) 878 (C) 30 (D) 88 (E) 11
Answer: A
The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits Q of the larger integer? Answer Choice: (A) Q=2 (B) Q=5 (C) Q=8 (D) Q=10 (E) 11
Answer: A
Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $25 per month and Plan B costs $75 per month per customer. If the company’s average revenue per customer per month is $100, then what percent of the company's revenue comes from customers with Plan A? Answer Choice: (A) 25% (B) 30% (C) 37.5% (D) 56.25% (E) 50%
Answer: E
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction Q of the cookies that were placed in the other tins were placed in the green tin? Answer Choice: (A) 15/2 (B) 9/4 (C) 5/9 (D) 7/5 (E) 9/7
Answer: C
If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 5, which of the following could NOT be a possible value of M+N? Answer Choice: (A) 84 (B) 52 (C) 34 (D) 29 (E) 14
Answer: B
A water tank is three-fifths full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely? Answer Choice: (A) 6 min (B) 8 min (C) 7 min (D) 9 min (E) 1 min
Answer: D
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape? Answer Choice: (A) 90 (B) 100 (C) 120 (D) 130 (E) 140
Answer: C
If n and y are positive integers and 450y = n^3, which of the following must be an integer? Answer Choice: (A) y/(3*2^2*5) (B) y/(3^2*2*5) (C) y/(3*2*5^2) (D) y/(5^3*2^2) (E) y/(5*3*2)
Answer: A
If x and y are prime numbers such that x > y > 2, then x^2 − y^2 must be divisible by which one of the following numbers? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 9 (E) 12
Answer: B
How many positive integers between 1 and 300 are there such that they are multiples of 9? Answer Choice: (A) 31 (B) 33 (C) 35 (D) 36 (E) 23
Answer: B
A can work three times as fast as B. Together they can finish a job in 18 days. In how many days can A complete the job alone? Answer Choice: (A) 20 (B) 24 (C) 28 (D) 32 (E) 36
Answer: B
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 850 grams. Find the profit percent. Answer Choice: (A) 300/17% (B) 100/23% (C) 100/19% (D) 100/13% (E) None of these
Answer: A
Three workers have a productivity ratio of 2 to 3 to 4. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest? Answer Choice: (A) 12 to 1 (B) 6 to 1 (C) 5 to 1 (D) 1 to 6 (E) 10 to 3
Answer: E