loafeihong/math_mmlu_format huggingface dataset:
When sold at a 60% discount, a sweater nets the merchant a 35% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price? Answer Choice: (A) 20% (B) 40% (C) 50% (D) 70.38% (E) 100%
Answer: D
The total age of A and B is 16 years more than the total age of B and C. C is how many years younger than A? Answer Choice: (A) 16 (B) 24 (C) C is elder than A (D) Data inadequate (E) None
Answer: A
Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together? Answer Choice: (A) 1448 (B) 1440 (C) 1478 (D) 1477 (E) 1432
Answer: B
Which of the numbers below is the odd one out
2,6,15,31,56,59,92. Answer Choice: (A) 6 (B) 31 (C) 56 (D) 92 (E) 59
Answer: E
a+b=4,ab=3,find the sum of receiprocals of a and b Answer Choice: (A) 4/3 (B) 3/4 (C) 5/3 (D) 3/5 (E) 1/5
Answer: A
An oil cylinder was 3/4th full. When THREE bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold? Answer Choice: (A) 60 (B) 15 (C) 40 (D) 30 (E) 35
Answer: A
A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number ofboxes that can be carried in the wooden box, is Answer Choice: (A) 9800000 (B) 1000000 (C) 7500000 (D) 1200000 (E) None of these
Answer: B
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? Answer Choice: (A)  5 (B)  7 (C)  10 (D)  15 (E)  24
Answer: B
The largest number of four digits exactly divisible by 77 is Answer Choice: (A) 9768 (B) 9933 (C) 9988 (D) 9944 (E) 9955
Answer: B
There are 280 doctors and nurses at a hospital. If the ratio of doctors to nurses is 5 to 9, how many nurses are at the hospital? Answer Choice: (A) 165 (B) 170 (C) 175 (D) 180 (E) 185
Answer: D
Riya and Priya set on a journey. Riya moves eastward at a speed of 24kmph and Priya moves westward at a speed of 35 kmph.How far will be priya from Riya after 45 minutes Answer Choice: (A) 25kms (B) 10kms (C) 50kms (D) 30kms (E) 44kms
Answer: E
At the end of the day, February 14th, a florist had 150 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 15 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red? Answer Choice: (A) 50% (B) 25% (C) 250% (D) 75% (E) 80%
Answer: A
The price of 2 saris and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? Answer Choice: (A) Rs. 2400 (B) Rs. 2490 (C) Rs. 2500 (D) Rs. 2550 (E) Rs. 2600
Answer: A
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in Answer Choice: (A) 144 mins (B) 140 mins (C) 136 mins (D) 132 minw (E) None of these
Answer: A
7 points are marked on a straight line and another 6 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points? Answer Choice: (A) 281 (B) 91 (C) 168 (D) 196 (E) 364
Answer: A
40 men shake hands with each other. Maximum no of handshakes without cyclic handshakes. Answer Choice: (A) 780 (B) 200 (C) 210 (D) 220 (E) 230
Answer: A
Find the C.I. on a sum of Rs.10000 for 6 months at 20% per annum, interest being compounded halfyearly? Answer Choice: (A) 3010 (B) 2010 (C) 1000 (D) 3100 (E) 2100
Answer: C
A music store has 90 different CD's. If an average price is $12 per CD and 20 of the most expensive ones are $20 each, what is the average price of the remaining CD's? Answer Choice: (A) 8.33 (B) 8.75 (C) 9.23 (D) 9.71 (E) 10.07
Answer: D
Find the value of 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] Answer Choice: (A) 800 (B) 500 (C) 900 (D) 1600 (E) None
Answer: D
While camping, 3 people are to be seated around a stool. two seating arrangement are considered different only when the position of the people are different relative to each other. what is the total number of possible seating arrangement for the group? Answer Choice: (A) a.2 (B) b.10 (C) c.8 (D) d.32 (E) e.600
Answer: A
In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way? Answer Choice: (A) 5 sec (B) 4 sec (C) 3 sec (D) 6 sec (E) 1 sec
Answer: B
The speeds of 3 trains in the ratio 2:6:16 The ratio between time taken by them to travel the same distance is? Answer Choice: (A) 6:4:3 (B) 1:2:3 (C) 24:8:3 (D) 26:5:2 (E) 24:8:7
Answer: C
Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 20% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease? Answer Choice: (A) $20 (B) $40 (C) $50 (D) $80 (E) $100
Answer: D
On increasing the number of lines in a page by 80, they become 240. What is the % of increase in the no. of lines in the page? Answer Choice: (A) 30% (B) 40% (C) 50% (D) 70% (E) 80%
Answer: C
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 100 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars? Answer Choice: (A) (B + 200)/2. (B) (B + 2)/6. (C) (2B + 200)/3. (D) (B + 2)/3. (E) (B - 2)/6.
Answer: A
The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by? Answer Choice: (A) 1/49 (B) 1/42 (C) 1/09 (D) 1/77 (E) 1/12
Answer: B
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by: Answer Choice: (A) 1/7 (B) 2/7 (C) 3/7 (D) 4/7 (E) None of them
Answer: A
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price r of the machine? Answer Choice: (A) 	81 (B) 	100 (C) 	120 (D) 	135 (E) 	160
Answer: C
A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 60 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.) Answer Choice: (A) $15,360 (B) $17,360 (C) $18,000 (D) $23,760 (E) $27,360
Answer: D
If x^5y^4z^2 <0 , which of the following must be true?
I. xy <0
II. yz <0
III. xz <0 Answer Choice: (A) I (B) II (C) III (D) I and II (E) None
Answer: E
The smallest value of n, for which 2n+3 is not a prime number, is Answer Choice: (A) 4,5 (B) 3,4 (C) 2,6 (D) 5,6 (E) 2,3
Answer: B
The workforce of Company X is 60% female. The company hired 24 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers? Answer Choice: (A) 160 (B) 220 (C) 288 (D) 360 (E) 420
Answer: C
On the number line, the number p is twice as many units from -2 as -2 is from 7. If p is less than –2, what is the value of p ? Answer Choice: (A) –20 (B) –10 (C) –6 (D) 10 (E) 14
Answer: A
There are 4 boys and 2 girls. In how many ways can they be seated in a row so that all the 4boys do not sit together? Answer Choice: (A) 450 (B) 330 (C) 576 (D) 712 (E) 496
Answer: C
Meg and Bob are among the 7 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob? Answer Choice: (A) 24 (B) 30 (C) 2520 (D) 90 (E) 120
Answer: C
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? Answer Choice: (A) 270 (B) 978 (C) 267 (D) 166 (E) 199
Answer: A
A man bought 10 crates of mangoes for $40 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 20 percent of the total cost? Answer Choice: (A) $6 (B) $8 (C) $10 (D) $12 (E) $14
Answer: A
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors D does the number 4x have? Answer Choice: (A) 4y (B) 3y (C) 16y (D) 5y (E) Cannot be determined
Answer: E
One ton has 2100 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons? Answer Choice: (A)  1680 (B)  1700 (C)  2350 (D)  2500 (E)  8000
Answer: A
When positive integer N is divided by positive integer J, the remainder is 12. If N/J = 204.06, what is value of J? Answer Choice: (A) 100 (B) 500 (C) 600 (D) 800 (E) 200
Answer: E
The average of first 10 even numbers is? Answer Choice: (A) 226 (B) 27 (C) 27 (D) 11 (E) 99
Answer: D
If a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet, what is the length of each of the shorter sides? Answer Choice: (A) 4 (B) 7 (C) 8 (D) 9 (E) 26
Answer: D
A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest? Answer Choice: (A) 14% (B) 12% (C) 11% (D) 22% (E) 14%
Answer: B
The distance between Delhi and Mathura is 120 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet? Answer Choice: (A) 40.00 a.m. (B) 10.13 a.m. (C) 12.00 a.m. (D) 18.00 a.m. (E) 19.00 a.m.
Answer: B
A tyre has two punctures. The first puncture alone would have made the tyre flat in 8 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ? Answer Choice: (A) 3 1/5min (B) 3 2/5min (C) 3 3/7min (D) 3 4/5min (E) 3 min
Answer: C
Jack and Lee walk around a circular track. It takes Jack and Lee respectively 6 and 10 minutes
to finish each lap. They start at the same time, at the same point on the track, and walk in the
same direction around the track. After how many minutes will they be at the same spot again
(not necessarily at the starting point) for the first time after they start walking? Answer Choice: (A) 15 (B) 16 (C) 30 (D) 32 (E) 60
Answer: A
Husband has prepared for a candle light dinner on the honeymoon for his wife. While they were having the dinner, a strong breeze flew through the open window and four candles out of ten were extinguished. After that, the husband closed the window.
How many candles were left in the end? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 2 (E) 9
Answer: A
A part of certain sum of money is invested at 9% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is? Answer Choice: (A) 4:6 (B) 4:9 (C) 5:3 (D) 4:1 (E) 4:2
Answer: C
A pair of articles was bought for $50 at a discount of 30%. What must be the marked price of each of the article? Answer Choice: (A) $25 (B) $17.50 (C) $29.65 (D) $35.95 (E) $45.62
Answer: B
A completes a work in 4 days and B complete the same work in 8 days. If both of them work together, then the number of days required to complete the work will be Answer Choice: (A) 8 days (B) 9 days (C) 2.67 days (D) 12 days (E) 13 days
Answer: C
A shopping cart contains only apples, oranges, and pears. If there are three times as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears? Answer Choice: (A) 1/6 (B) 1/8 (C) 1/12 (D) 1/4 (E) 3/4
Answer: C
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 120 metres? Answer Choice: (A) 18 (B) 24 (C) 17 (D) 12 (E) 13
Answer: B
John works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 1,000 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 216,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.? Answer Choice: (A) 72,000 (B) 48,000 (C) 50,000 (D) 36,000 (E) 40,000
Answer: D
A boat moves downstream at the rate of 1 km in 5 mins & upstream at the rate of 4 km/hour. What is the velocity of the current? Answer Choice: (A) 2 km/hr (B) 4 km/hr (C) 8 km/hr (D) 10 km/hr (E) 12 km/hr
Answer: B
A boy has 9 trousers and 10 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 100 (B) 102 (C) 104 (D) 108 (E) 90
Answer: E
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km. Answer Choice: (A) 18 kmph (B) 17 kmph (C) 24 kmph (D) 19 kmph (E) 12 kmph
Answer: C
In how many ways can the letters of the word UWPIS be arranged in a row so that the vowels appear in alphabetic order? Answer Choice: (A) 20 (B) 30 (C) 40 (D) 50 (E) 60
Answer: E
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?
945678? Answer Choice: (A) 7 (B) 6 (C) 8 (D) 5 (E) 2
Answer: C
To hail means to praise and acclaim and this is contrary to what has been proposed in the passage. Ask doubt using Question Id: 6305 Answer Choice: (A) 22 (B) 99 (C) 82 (D) 27 (E) 26
Answer: A
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a plce and come back, how far is the place? Answer Choice: (A) 2 km (B) 2.4 km (C) 2.5 km (D) 3.4 km (E) None
Answer: B
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Answer Choice: (A) 81:121 (B) 81:128 (C) 81:118 (D) 81:107 (E) 81:189
Answer: A
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business? Answer Choice: (A) 12:15:18 (B) 12:15:16 (C) 12:15:19 (D) 12:15:11 (E) 12:15:12
Answer: B
The average of five integers is 63, and none of these integers is greater than 100. If the average of three of the integers is 69, what is the least possible value of one of the other two integers? Answer Choice: (A) 5 (B) 8 (C) 20 (D) 21 (E) 30
Answer: B
Fill in the sequence:
1 5 9 15 ? Answer Choice: (A) 11 (B) 41 (C) 51 (D) 21 (E) 31
Answer: D
Find the odd man out. 2, 3, 5, 9, 12, 17, 23 Answer Choice: (A) 12 (B) 9 (C) 23 (D) 2 (E) 3
Answer: B
The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). If a line through (3,3) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line? Answer Choice: (A) 0 (B) 2/5 (C) -2 (D) 1 (E) 7/4
Answer: C
log√ 8 / log 8 is equal to Answer Choice: (A) 1/√8 (B) 1/4 (C) 1/2 (D) 1/8 (E) None
Answer: C
Three positive integers a, b, and c are such that their average is 40 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c? Answer Choice: (A) 41 (B) 44 (C) 45 (D) 46 (E) 47
Answer: C
The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is Answer Choice: (A) 10 (B) 12 (C) 14 (D) 15 (E) 60
Answer: B
What is the difference between the local value of 3 and 2 in the number 2324? Answer Choice: (A) 430 (B) 377 (C) 280 (D) 277 (E) 112
Answer: C
What type of switch is this? Answer Choice: (A) 2 (B) 7 (C) 6 (D) 8 (E) 9
Answer: B
What is 120% of 13/24 of 600? Answer Choice: (A) 320 (B) 390 (C) 440 (D) 480 (E) 510
Answer: B
How many integers between 100 and 150, inclusive, can be evenly
divided by neither 3 nor 5? Answer Choice: (A) 33 (B) 28 (C) 27 (D) 26 (E) 24
Answer: E
A square was given. Inside the square there are white tiles and black tiles. Black tiles was among the diagonal of the square and dimensions of both white as well as black tiles is 1cm x 1cm. If there are 81 black tiles in the square. Then find the no of white tiles in it. Answer Choice: (A) 2399 (B) 1600 (C) 2679 (D) 1697 (E) 1711
Answer: B
(23341379 × 72) = ? Answer Choice: (A) 1223441288 (B) 2142579288 (C) 2142339288 (D) 2142339277 (E) 1680579288
Answer: E
If positive integer n is divisible by both 5 and 21, then n must be divisible by which of the following? Answer Choice: (A) 8 (B) 15 (C) 18 (D) 24 (E) 48
Answer: B
The length of a rectangle is reduced by 25%. By what % would the width have to be increased to maintainthe original area? Answer Choice: (A) 15% (B) 20% (C) 25% (D) 33% (E) 40%
Answer: D
Natasha climbs up a hill, and descends along the same way she went up. It takes her 3 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 3 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top? Answer Choice: (A) 1.5 (B) 2.5 (C) 3.75 (D) 5 (E) 7.5
Answer: B
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is? Answer Choice: (A) 1 (B) 6 (C) 5 (D) 6 (E) 8
Answer: A
Half a number plus 5 is 15.What is the number? Answer Choice: (A) 8 (B) 20 (C) 10 (D) 11 (E) 12
Answer: B
What is the probability of flipping a fair coin nine times and the coin landing on heads on at least two flips? Answer Choice: (A) 57/64 (B) 119/128 (C) 251/256 (D) 503/512 (E) 509/512
Answer: C
The sum of three consecutive even numbers is 48. Find the middle number of the three? Answer Choice: (A) 14 (B) 16 (C) 18 (D) 24 (E) 64
Answer: E
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area? Answer Choice: (A) 1000 (B) 888 (C) 2889 (D) 2888 (E) 2881
Answer: A
Find the fourth proportional to 2.4, 4.6 and 7.6? Answer Choice: (A) 14.56 (B) 14 (C) 15.34 (D) 16.2 (E) 17
Answer: A
What is the greatest prime factor of 3^8 - 1? Answer Choice: (A) 29 (B) 31 (C) 37 (D) 41 (E) 43
Answer: D
A man purchased 3 blankets @ Rs.100 each, 2 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets? Answer Choice: (A) 278 (B) 900 (C) 278 (D) 450 (E) 772
Answer: B
Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 960 pounds of the seed mixture? Answer Choice: (A) 6 (B) 12 (C) 20 (D) 24 (E) 120
Answer: D
The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is Answer Choice: (A) 27 months (B) 20 months (C) 23 months (D) 12 months (E) 15 months
Answer: A
A student chose a number, multiplied it by 4, then subtracted 142 from the result and got 110. What was the number he chose? Answer Choice: (A) 58 (B) 59 (C) 60 (D) 62 (E) 63
Answer: E
Ayesha's father was 31 years of age when she was born while her mother was 34 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Answer Choice: (A) 2 years (B) 4 years (C) 6 years (D) 8 years (E) 1 years
Answer: E
How many keystrokes are needed to type numbers from 1 to 100? Answer Choice: (A) 192 (B) 100 (C) 90 (D) 110 (E) None of these
Answer: A
The average waight of A,B,C is 45 Kg. The avg wgt of A & B be 40Kg & that of B,C be 43Kg. Find the wgt of B. Answer Choice: (A) 34Kg (B) 40Kg (C) 42Kg (D) 41Kg (E) 31Kg
Answer: E
Insert the missing number. 2, 7, 10, 22, 18, 37, 26, 52, Answer Choice: (A) 34 (B) 52 (C) 46 (D) 62 (E) 68
Answer: A
2400÷20÷10=? Answer Choice: (A) 43 (B) 12 (C) 15 (D) 20 (E) 24
Answer: B
If a positive odd integer N has p positive factors, how many positive factors will 6N have ? Answer Choice: (A) p (B) 2p (C) P+1 (D) 2p+1 (E) Cannot be determined
Answer: A
If x and y and z are two-digit integers such that x > 40, y<70, and z is > 80 and < 90, which of the following is closest to the maximum possible value of xyz ? Answer Choice: (A)  700 (B)  607,959 (C)  4,000 (D)  7,000 (E)  28,000
Answer: B
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 12 brown mice in the experiment, how many mice in total are in the experiment? Answer Choice: (A) 39 (B) 33 (C) 26 (D) 21 (E) 36
Answer: E
The total of company C's assets in 1994 was 150% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994: Answer Choice: (A) 7N (B) 8N (C) 9N (D) 12.5 (E) 20
Answer: D
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is? Answer Choice: (A) 24,609 (B) 24,607 (C) 24,600 (D) 24,638 (E) 24,602
Answer: C
Using all the letters of the word "THURSDAY", how many different words can be formed? Answer Choice: (A) 8 (B) 8! (C) 7! (D) 6 (E) 2
Answer: B
There are 15 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station? Answer Choice: (A) 272 (B) 167 (C) 157 (D) 352 (E) 380
Answer: A
What is the perimeter of a triangle with sides 7 and 3 that has the maximum possible area? Answer Choice: (A) 10 + 3√7 (B) 10 + 3√3 (C) 10 + √58 (D) 10 + √71 (E) 10 + √83
Answer: C
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph,
he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1
P.M.? Answer Choice: (A) 9 km/hour (B) 10 km/hour (C) 11 km/hour (D) 12 km/hour (E) None of these
Answer: D
If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) I, II and III
Answer: D
If x is an integer, which of the following is a possible value of Q=(x^2 +2x – 7)/9? Answer Choice: (A) -2.4 (B) 0.268 (C) 1.166 repeating (D) 4.555 repeating (E) 8.125
Answer: D
In a partnership between A, B and C. A's capital is Rs.4000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital? Answer Choice: (A) 9400 (B) 12798 (C) 26908 (D) 11750 (E) 22073
Answer: A
How many odd, positive divisors does 500 have? Answer Choice: (A) 6 (B) 5 (C) 12 (D) 15 (E) 24
Answer: B
A vessel of capacity 3 litre has 25% of alcohol and another vessel of capacity 5 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture? Answer Choice: (A) 31%. (B) 71%. (C) 27.5%. (D) 29%. (E) 51%.
Answer: C