loafeihong/math_mmlu_format huggingface dataset:
Rs. 6000 is lent out in two parts. One part is lent at 4% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest? Answer Choice: (A) 5:1 (B) 5:5 (C) 5:7 (D) 5:4 (E) 5:2
Answer: C
What number comes next in the following number series? 12, 50, 202, 810, 3242, _____ Answer Choice: (A) 12400 (B) 12800 (C) 12970 (D) 13015 (E) 16000
Answer: C
A family I know has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there? Answer Choice: (A) 4 brothers and 2 sisters (B) 4 brothers and 3 sisters (C) 3 brothers and 3 sisters (D) 4 brothers and 5 sisters (E) 4 brothers and 6 sisters
Answer: B
The ages of Old and Young total 48. Old is twice as old as Young was when Old was half as old as Young will be when Young is three times as Old was when Old was three times as old as Young. How old is Old? Answer Choice: (A) 23 (B) 27 (C) 12 (D) 43 (E) 37
Answer: C
In a sports club with 80 members, 48 play badminton and 46 play tennis and 7 do not play either. How many members play both badminton and tennis? Answer Choice: (A) 23 (B) 21 (C) 20 (D) 26 (E) 27
Answer: B
he population of a city is 110,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence? Answer Choice: (A) 123596 (B) 1237723 (C) 123776 (D) 123728 (E) 123718
Answer: A
Combine terms: 6a + 26b -4b – 16a. Answer Choice: (A) 4a + 22b (B) -28a + 30b (C) -10a + 22b (D) 28a + 30b (E) 5a + 30b
Answer: C
Saturn travels around the Sun at an approximate speed of 5.82 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles) Answer Choice: (A) 30,560 (B) 31,650 (C) 32,740 (D) 33,830 (E) 34,920
Answer: E
A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for? Answer Choice: (A) 10 days (B) 12 days (C) 15 days (D) 20 days (E) 18 days
Answer: B
The bear alarm at Grizzly’s Peak ski resort sounds an average of once every thirty days, but the alarm is so sensitively calibrated that it sounds an average of ten false alarms for every undetected bear. Despite this, the alarm only sounds for three out of four bears that actually appear at the resort. If the alarm sounds, what is the probability that a bear has actually been sighted? Answer Choice: (A)  1/4 (B)  3/13 (C)  27/52 (D)  3/4 (E)  10/13
Answer: B
Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number Answer Choice: (A) 5 (B) 15 (C) 7.5 (D) 4 (E) 3
Answer: A
What is the remainder when 980*1050*880*1010 is divided by 22? Answer Choice: (A) 15 (B) 10 (C) 12 (D) 8 (E) 3
Answer: C
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance travelled by him? Answer Choice: (A) 50 (B) 60 (C) 40 (D) 30 (E) 25
Answer: A
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students? Answer Choice: (A) 52.3 (B) 52.2 (C) 52.1 (D) 52.5 (E) 52.4
Answer: D
What is the greatest prime factor of (10!9!) + (10!11!)? Answer Choice: (A) 23 (B) 29 (C) 31 (D) 37 (E) 41
Answer: D
In a box of 10 pens, a total of 2 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective? Answer Choice: (A) 7/12 (B) 11/20 (C) 17/30 (D) 28/45 (E) 51/90
Answer: D
If the probability of rain on any given day in City X is 20%, what is probability that it rains on exactly 3 days in a 4 day period? Answer Choice: (A) 16/625 (B) 8/125 (C) 6/125 (D) 4/25 (E) 3/25
Answer: A
An article is bought for Rs.1280 and sold for Rs.900, find the loss percent? Answer Choice: (A) 28% (B) 29% (C) 16% (D) 26% (E) 32%
Answer: B
If 41/88 = 0.46590, what is the 77th digit to the right of the decimal point of the fraction? Answer Choice: (A) 6 (B) 2 (C) 5 (D) 0 (E) 9
Answer: D
Milk contains 10% water. What content of pure milk should be added to 20 liters of milk to reduce this to 5%? Answer Choice: (A) 20liters (B) 25liters (C) 30liters (D) 15liters (E) 18liters
Answer: A
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ? Answer Choice: (A) 25 m (B) 75 m (C) 85 m (D) 05 m (E) 15 m
Answer: A
A train passes a station platform in 39 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) 328 (B) 279 (C) 240 (D) 285 (E) 231
Answer: D
The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.1950. The perimeter of the plot is? Answer Choice: (A) 126 (B) 156 (C) 190 (D) 300 (E) 260
Answer: D
A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 2t seconds, then what is the length of the platform? Answer Choice: (A) 0.5 L (B) L (C) 1.5 L (D) 2 L (E) 3
Answer: B
It takes 2 team of farm workers 12 days to completely prepare a piece of land for planting. if both team of workers were to work separately, one of them can complete the work 10 days earlier than the other, how many days will it take each of them to separately complete the work? Answer Choice: (A) 12 and 22 (B) 11 and 21 (C) 15 and 25 (D) 9 and 19 (E) 20 and 30
Answer: E
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $7.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat? Answer Choice: (A) $4.50 (B) $5.10 (C) $5.30 (D) $7.50 (E) $5.60
Answer: D
If f(x)= 5x^3- 4x+8 and g(y)= 6y-4, then g(f(x)) = Answer Choice: (A) 11x^2+4x+4 (B) 11x^2-12x+44 (C) 30x^3-24x+44 (D) 30x^3+4x+4 (E) 30x^3-12x+44
Answer: C
By selling an article for $195, a person gains $45. What is the gain %? Answer Choice: (A) 25% (B) 30% (C) 50% (D) 20% (E) 10%
Answer: B
Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/5 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity? Answer Choice: (A) 1/2 (B) 2/3 (C) 3/4 (D) 11/30 (E) 5/6
Answer: D
A herd of goats consists of A males and B females. In that herd, half of the goats that have horns are females. If C goats of the herd do not have horns, then the total number of male goats in the herd that do NOT have horns, in terms of A, B and C is - Answer Choice: (A) (A−B+C)/2 (B) (A−B−C)/2 (C) (A+B+C)/2 (D) (A+B−C)/2 (E) (2A−B+C)/2
Answer: A
In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike? Answer Choice: (A) 40 kg (B) 50 kg (C) 65 kg (D) 66.5 kg (E) 80 kg
Answer: D
Find the value of 3 + 2 • (8 – 3) Answer Choice: (A) 25 (B) 13 (C) 17 (D) 24 (E) 15
Answer: B
If T = 5/9 * (K - 32), and if T = 35, then what is the value of K? Answer Choice: (A) 92 (B) 95 (C) 98 (D) 101 (E) 104
Answer: B
A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 1/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 10% less than the price each head sold for on the day before. What was the total gross profit on this shipment. Answer Choice: (A) $105 (B) b $100 (C) c $125 (D) d $130 (E) e $135
Answer: B
If 200 lb of a mixture contain 80% husk and 20% sand. Then how much husk needs to be extracted in order to have 75% concentration of Husk? Answer Choice: (A) 1/4 (B) 20/3 (C) 1/2 (D) 40 (E) 60
Answer: D
The rational number for recurring decimal 0.125125.... is: Answer Choice: (A) 119/999 (B) 125/999 (C) 125/1000 (D) 125/999 (E) None of them
Answer: B
John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.
What is the least number of eggs he needs for this to be true? Answer Choice: (A) 201 (B) 301 (C) 401 (D) 101 (E) 501
Answer: B
While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 3° east of north, in what direction was it originally flying? Answer Choice: (A) (a) 30° west of north (B) (b) 30° east of north (C) (c) 22° west of north (D) (d) 22° east of north (E) (e) 5° west of north
Answer: C
Triangle ATriangle B are similar triangles with areas 1536 units square and 2166 units square respectively. The ratio of there corresponding height would be Answer Choice: (A) 9:10 (B) 17:19 (C) 23:27 (D) 13:17 (E) 16:19
Answer: E
A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2? Answer Choice: (A) 2 / 3 (B) 1 / 3 (C) 3 / 3 (D) 4 / 5 (E) 2 / 4
Answer: B
You collect balls. Suppose you start out with 7. John takes half of one more than the number of balls you have. Since his mother makes balls, Peter decides to triple your balls. How many balls do you have at the end? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: D
A circular rim 21 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ? Answer Choice: (A) 48pi/x (B) 75x (C) 48x (D) 45x (E) x/75
Answer: D
A group of men decided to do a work in 20 days, but 10 of them became absent. If the rest of the group did the work in 40 days, Find the original number of men? Answer Choice: (A) 20 (B) 50 (C) 40 (D) 100 (E) 25
Answer: A
Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas. Answer Choice: (A) 1:9 (B) 2:9 (C) 3:9 (D) 5:9 (E) None of them
Answer: A
In a normal 5-day work week, each of 12 employees produces 300 items per day-last week, 1/3 of the employees were absent from work for 2/5 of the days in the week. how many total items were produced last week? Answer Choice: (A) 18000 (B) 14400 (C) 6000 (D) 15600 (E) 16,200
Answer: D
A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men? Answer Choice: (A)  5/7 (B)  1/7 (C)  2/7 (D)  3/7 (E)  1/2
Answer: A
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 15th student is Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: A
If f is a number such that –2 ≤ f ≤ 2, which of the following has the largest possible absolute value? Answer Choice: (A) 3f – 1 (B) x^2 + 1 (C) 3 – x (D) x – 3 (E) x^2 – x
Answer: A
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? Answer Choice: (A) 24 (B) 35 (C) 13 (D) 61 (E) 45
Answer: B
The length of an edge of a hollow cube open at one face is √3 metres. What is the length of the largest pole that it can accommodate? Answer Choice: (A) 2 metres (B) 3 metres (C) 4 metres (D) 3√3metres (E) None
Answer: B
The volume of cube is equal to the surface area of that cube. Then find the distance of side of the cube? Answer Choice: (A) 7 (B) 10 (C) 4 (D) 6 (E) 8
Answer: D
The cost price of 40 articles is the same as the selling price of x articles. If the profit is 25%, what is x? Answer Choice: (A) 26 (B) 28 (C) 30 (D) 32 (E) 34
Answer: D
How long does a train 120 m long running at the speed of 70 km/hr takes to cross a bridge 145 m length? Answer Choice: (A) 13.9 sec (B) 12.1 sec (C) 17.9 sec (D) 13.9 sec (E) 47.98 sec
Answer: D
If a and b are integers and a≠0 which of the following cannot equal 0? Answer Choice: (A) ab (B) a-b (C) a+b (D) ab-b^2 (E) a^2+b^2
Answer: E
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time? Answer Choice: (A) 11 (B) 45 (C) 66 (D) 72 (E) 32
Answer: B
Which of the following is NOT a factor of 10! ? Answer Choice: (A) 1440 (B) 625 (C) 160 (D) 80 (E) 50
Answer: B
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) 1,20,000 (B) 1,20,080 (C) 1,20,900 (D) 1,29,000 (E) 1,20,070
Answer: A
A circular mat with diameter 22 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Answer Choice: (A) 5/12 (B) 2/5 (C) 3/2 (D) 3/4 (E) 5/8
Answer: E
There are 28 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station? Answer Choice: (A) 800 (B) 820 (C) 850 (D) 870 (E) 900
Answer: D
The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? Answer Choice: (A) 75 (B) 267 (C) 299 (D) 266 (E) 21
Answer: A
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 240 responses are needed, what is the minimum number of questionnaires that should be mailed? Answer Choice: (A) 400 (B) 500 (C) 600 (D) 700 (E) 800
Answer: A
How many words can be formed by using all letters of the word 'PIG' ? Answer Choice: (A) 6 (B) 8 (C) 9 (D) 5 (E) 7
Answer: A
If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes? Answer Choice: (A) 132 km (B) 167 km (C) 143 km (D) 162 kilometres (E) 245 km
Answer: D
If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value R of the product xy? Answer Choice: (A) 	-12 (B) 	-3 (C) 	0 (D) 	2 (E) 	None of the above
Answer: C
A cube is divided into 512 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour? Answer Choice: (A) 216 (B) 264 (C) 296 (D) 312 (E) 324
Answer: A
The population of a town is 10000. It increases annually at the rate of 30% p.a. What will be its population after 2 years? Answer Choice: (A) 14000 (B) 14400 (C) 14500 (D) 14600 (E) 16900
Answer: E
John has $2500 in his bank account that earns 10% interest every year. How much will be in John's bank account after one year? Answer Choice: (A) $2600 (B) $3000 (C) $2250 (D) $2750 (E) $3500
Answer: D
Mary works in a restaurant a maximum of 45 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week? Answer Choice: (A) 300 (B) 420 (C) 410 (D) 320 (E) 400
Answer: C
What is the probability W of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R? Answer Choice: (A) 1/13 (B) 1/20 (C) 1/26 (D) 1/50 (E) 1/100
Answer: C
A sum of Rs 12,500 amounts to Rs. 15,500 in the 4 years at the rate of simple interest. Find the rate percent Answer Choice: (A) 6 % (B) 7 % (C) 8 % (D) 9 % (E) 10 %
Answer: A
Chlorination is used in industry for the purification of water; 1gm solution of chlorine will remove half of the germs in 1 liter of water. If water containing less than 0.09% of germs is considered clean, what is the minimum amount of chlorine required to purify 150 liter of water containing 0.3 liter of harmful substances? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 14 heads and 41 legs. How many cats does the ship host? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: C
Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is? Answer Choice: (A) 4 hrs 54 min (B) 4 hrs 24 min (C) 4 hrs 14 min (D) 4 hrs 34 min (E) 4 hrs 04 min
Answer: B
What is the lowest possible common multiple of 2 distinct integers, each greater than 140? Answer Choice: (A) 141 (B) 142 (C) 282 (D) 141*141 (E) 141*142
Answer: C
if i earn a profit 50$ in a day and I have 9 employees . After keeping 10 percent profit for me, and distribute remianing money equally among my employees then how much each employee would get? Answer Choice: (A) $3 (B) $7 (C) $1 (D) $5 (E) $9
Answer: D
A box contains six bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good. Answer Choice: (A) 125/167 (B) 14/15 (C) 125/126 (D) 125/186 (E) 125/128
Answer: B
One day a car rental agency rented 3/4 of its cars, including 3/5 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players? Answer Choice: (A) 29/30 (B) 24/25 (C) 19/20 (D) 14/15 (E) 9/10
Answer: B
In a certain sequence, the first term is 3, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence? Answer Choice: (A) 13/8 (B) 21/13 (C) 8/5 (D) 5/8 (E) 18/11
Answer: E
A sock drawer contains 6 socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks? Answer Choice: (A) 12 (B) 15 (C) 21 (D) 36 (E) 42
Answer: B
Mrs. Napier has 23 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over? Answer Choice: (A) 2-5 (B) 2-4 (C) 2-6 (D) 2-3 (E) 2-8
Answer: A
A rectangular garden is 12m by 5m, what is its area? Answer Choice: (A) 12 square meters (B) 5 square meters (C) 44 square meters (D) 60 square meters (E) 22 square meters
Answer: D
How many ways are there to award a gold, silver and bronze medal to 11 contending teams? Answer Choice: (A) 11 x 10 × 9 (B) 10!/(3!7!) (C) 10!/3! (D) 360 (E) 300
Answer: A
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 140, the sum due is: Answer Choice: (A) s. 768 (B) s. 640 (C) s. 1960 (D) s. 2400 (E) s. 2800
Answer: B
Souju's age is 131% of what it was 10 years ago, but 80 2/3% of what it will be after 10 years. What is her present age? Answer Choice: (A) 46 years (B) 27 years (C) 36 years (D) 42 years (E) 54 years
Answer: D
By selling 175 apples, a shopkeeper gains the price of 25 apples. His gain per cent is Answer Choice: (A) 18.66% (B) 17.66% (C) 16.66% (D) 15.66% (E) 14.66%
Answer: C
Exactly 5% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics? Answer Choice: (A)  20% (B)  42% (C)  44% (D)  92% (E)  90%
Answer: D
If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 3, 6, and k? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job? Answer Choice: (A) 40 days (B) 40/9 days (C) 39/9 days (D) 30/9 days (E) 60/9 days
Answer: B
A grocer has a sale of Rs. 4435, Rs. 4927, Rs. 4855, Rs. 5230 and Rs. 4562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 4500? Answer Choice: (A) s. 1991 (B) s. 2991 (C) s. 3991 (D) s. 4991 (E) s. 5991
Answer: B
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 480 ? Answer Choice: (A) 249 (B) 498 (C) 239 (D) 823 (E) 1,002
Answer: C
3^4+3^4+3^4=? Answer Choice: (A) a) 3^3 (B) b) 3^4 (C) c) 3^5 (D) d) 3^6 (E) e) 3^15
Answer: C
A man can row a boat at 20 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 60 km downstream? Answer Choice: (A) 30/16 hours (B) 80/13 hours (C) 30/73 hours (D) 15/7 hours (E) 50/13 hours
Answer: D
There are 25 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ? Answer Choice: (A) 10 (B) 20 (C) 40 (D) 50 (E) 11
Answer: E
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is: Answer Choice: (A) 48 km/hr (B) 54 km/hr (C) 66 km/hr (D) 82 km/hr (E) 85 km/hr
Answer: D
A trained covered x km at 30 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km. Answer Choice: (A) 20kmph (B) 22.5kmph (C) 25kmph (D) 30kmph (E) 35kmph
Answer: B
If each side of a square is increased by 25%, find the percentage change in its area. Answer Choice: (A) 26.5% (B) 36.25% (C) 46.25% (D) 56.25% (E) 66.25%
Answer: D
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) 20 (B) 30 (C) 40 (D) 50 (E) 60
Answer: B
A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of D square inches. Which of the following equations must be true? Answer Choice: (A) 2W^2 + PW + 2D = 0 (B) 2W^2 − PW − 2D = 0 (C) 2W^2 − PW + 2D = 0 (D) W^2 + PW + D = 0 (E) W^2 − PW + 2D = 0
Answer: C
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%? Answer Choice: (A) 2888 (B) 2999 (C) 2799 (D) 1000 (E) 2881
Answer: D
When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters? Answer Choice: (A) √10/2 (B) √10 (C) 4 (D) 5 (E) 10
Answer: B
On a bright morning, Ashley and Cecilia decided to take out their old cars from the garage and check their speeds. Just to make things for interesting, they decided to race and find out whose car was fast. So they halted their car at the starting point and began with full throttle till the finish line.
When both the car crossed the finishing line, they realized that Ashley's car was 1.2 times faster than Cecelia. Also, Cecelia had reached the finishing line 1 minutes 30 seconds later than Ashley. Ashley's car had reached the finishing line at an average speed of 60 Km/h.
With all this data given, can you find out the total distance between the starting and the finishing lines? Answer Choice: (A) 6.5Km (B) 8.5Km (C) 7.4Km (D) 7.5Km (E) 7.7Km
Answer: D
What is greatest positive integer n such that 2^n is a factor of 12^14? Answer Choice: (A) a)10 (B) b)12 (C) c)16 (D) d)20 (E) e)28
Answer: E