loafeihong/math_mmlu_format huggingface dataset:
If a class of 10 students has three men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other? Answer Choice: (A) 3!2! (B) 5!5! (C) 4!4! (D) 10! (E) 10!/5!
Answer: A
A trader bought a car at 20% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price? Answer Choice: (A) 17% (B) 72% (C) 20% (D) 82% (E) 16%
Answer: C
The number of positive integer solutions for the equation x +y +z + t = 15 is Answer Choice: (A) 654 (B) 584 (C) 384 (D) 364 (E) 394
Answer: D
A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it? Answer Choice: (A) 112 (B) 116 (C) 128 (D) 175 (E) 256
Answer: C
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 40 years now, the son's age 10 years back was? Answer Choice: (A) 12yr (B) 15yr (C) 14yr (D) 10yr (E) 20yr
Answer: D
A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 10 cents? Answer Choice: (A) 2 (B) 5 (C) 8 (D) 9 (E) 11
Answer: E
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 5 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance? Answer Choice: (A)  4y (B)  5y (C)  3y (D)  8y (E)  9y
Answer: C
From a pack of 52 cards, one card is drawn. What is the probability that the card drawn is a queen of club or a king of heart? Answer Choice: (A) 1/26 (B) 25/26 (C) 3/26 (D) 1/52 (E) 4/52
Answer: A
Divide $100 among W,X in the ratio 3:7. How many $ that X get? Answer Choice: (A) $40 (B) $50 (C) $60 (D) $70 (E) $80
Answer: D
3, 12, 7, 26, 15, ? Answer Choice: (A) 34 (B) 44 (C) 54 (D) 64 (E) 74
Answer: C
A box contains 12 marbles of three different colours green, yellow and blue---4 each.
If you were to close your eyes and pick them at random, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out? Answer Choice: (A) 1 (B) 4 (C) 6 (D) 3 (E) 7
Answer: B
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in? Answer Choice: (A) 6 (B) 8 (C) 1 (D) 9 (E) 2
Answer: D
Jim drove 642 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey? Answer Choice: (A) 113 miles (B) 432 miles (C) 558miles (D) 887 miles (E) 767 miles
Answer: C
How many boxes do you need if you have to pack 1080 apples into cases that each hold one dozen apples ? Answer Choice: (A) 40 (B) 60 (C) 70 (D) 80 (E) 90
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train? Answer Choice: (A) 287 (B) 699 (C) 250 (D) 168 (E) 150
Answer: C
Barbara, Becky and Beth dressed up as princesses for Halloween. One was Snow White. One was Sleeping Beauty. One was Cinderella. Becky is not Sleeping Beauty and she went trick-or-treating with Snow White. Beth and Sleeping Beauty are sisters. Who is Snow White? Answer Choice: (A) Becky (B) Beth (C) Barbara (D) none (E) Mary
Answer: B
If y is an integer, then the least possible value of |32 - 7y| is Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
A can do a piece of work in 4hours. B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it? Answer Choice: (A) 8 hours (B) 10 hours (C) 12 hours (D) 24 hours (E) 30 hours
Answer: C
On dividing 17698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor? Answer Choice: (A) 199 (B) 154 (C) 852 (D) 741 (E) 785
Answer: A
In a bag, there are two 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum? Answer Choice: (A) 60 (B) 50 (C) 42 (D) 84 (E) 61
Answer: E
A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is? Answer Choice: (A) 3377 (B) 1500 (C) 2887 (D) 1778 (E) 1221
Answer: B
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 22 years. What is the age of Deepak at present? Answer Choice: (A) 12 years (B) 15 years (C) 66 years (D) 88 years (E) 55 years
Answer: A
How many numbers from 29 to 79 are exactly divisible by 11? Answer Choice: (A) 5 (B) 7 (C) 9 (D) 11 (E) 12
Answer: A
In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 5 ? Answer Choice: (A) âˆ’9/2 (B) -1 (C) -3 (D) 4 (E) 9/2
Answer: B
the age of a and b are in the ratio 4:5 and of b and c in the ratio 3:2.the youngedt of three is Answer Choice: (A) a (B) b (C) c (D) can't say (E) none
Answer: C
Average of first five multiples of 5 is Answer Choice: (A) 9 (B) 11 (C) 13 (D) 15 (E) 17
Answer: D
5 blue marbles, 3 red marbles and 4 purple marbles are placed in a bag. If 4 marbles are drawn without replacement, what is the probability that the resu lt will not be 2 blue and 2 purple marbles? Answer Choice: (A) 4/33 (B) (5/36)^2 (C) 1/2 (D) (31/36)^2 (E) 29/33
Answer: E
Number of prime numbers between 15 and 45 is Answer Choice: (A) 4 (B) 8 (C) 6 (D) 7 (E) 9
Answer: B
A, B, C together started a business. A invested Rs.2000 for 5 months B invested Rs.2500 for 6 months and C Rs.3000 for 3 months. If they get a total profit of Rs.3400. Find the share of A? Answer Choice: (A) 2999 (B) 3000 (C) 1000 (D) 2999 (E) 17212
Answer: C
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 30 sec. What is the length of the goods train? Answer Choice: (A) 299 (B) 277 (C) 350 (D) 270 (E) 281
Answer: C
The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 15 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view? Answer Choice: (A) 1/6 (B) 1/2 (C) 2/3 (D) 5/6 (E) 17/18
Answer: B
A and B can do a piece of work in 10 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) 33 (B) 878 (C) 30 (D) 10 (E) 11
Answer: D
What is the square root of 16? Answer Choice: (A) 8 (B) 4 (C) 35 (D) 42 (E) 86
Answer: B
Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points? Answer Choice: (A) 11 (B) 17 (C) 16 (D) 32 (E) 10
Answer: D
In how many ways can 7 boys and 4 girls sit around a table in such a way that no two girls sit together? Answer Choice: (A) 695400 (B) 625800 (C) 685000 (D) 615000 (E) 604800
Answer: E
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 240 m long? Answer Choice: (A) 40 sec (B) 42 sec (C) 45 sec (D) 48 sec (E) 50 sec
Answer: D
If r and s are even integers, which of the following is an odd integer? Answer Choice: (A) rs + 2 (B) r(s − 1) (C) r(r + 5) (D) 3r + 4s (E) (r + 3)(s − 1)
Answer: E
By selling 110 mangoes, a fruit-seller gains the selling price of 20 mangoes. Find the gain percent? Answer Choice: (A) 28.28% (B) 32.32% (C) 17.71% (D) 22.22% (E) 33.33%
Answer: D
On three consecutive flips of a coin, what is the probability that all three produce the same result? Answer Choice: (A) 1/16 (B) 1/8 (C) 1/4 (D) 3/8 (E) 1/2
Answer: C
Alex takes a loan of $4,000 to buy a used truck at the rate of 6 % simple Interest.Calculate the annual interest to be paid for the loan amount. Answer Choice: (A) 680 (B) 700 (C) 240 (D) 620 (E) 260
Answer: C
The area of a square is subtracted from one of its sides, and the perimeter is then added to this total, the result is 4. What is the length of one side? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
If (b-5)(y+2) = 0 which of the following must be true? Answer Choice: (A)  b = y (B)  b > y (C)  b < y (D)  by = -10 (E)  None of the above
Answer: E
Lena’s grade was in the 80th percentile out of 120 grades in her class. In another class of 200 students there were 24 grades higher than Lena’s. If nobody had Lena’s grade, then Lena was what percentile of the two classes combined? Answer Choice: (A) 85 (B) 90 (C) 95 (D) 100 (E) 105
Answer: A
(1^2 + 2^2 + 3^2 + ... + 10^2) = ? Answer Choice: (A) 385 (B) 395 (C) 375 (D) 55 (E) 58
Answer: A
In a business A receives 20% of the annual profit, and remaining is divided between B and C in the ratio 3 : 5, ratio of difference between the amount received by A and B out of annual profit is Rs.1200. What is C’s share in the annual profit ? Answer Choice: (A) 4500 (B) 5500 (C) 5000 (D) 5800 (E) 6000
Answer: E
A city of 4000 has the rate of 25.4 per 2000 people moving into the town while 10.5 per 1000 move out. How long will take for the population to double. Answer Choice: (A) 10.5 (B) 30 (C) 133.3 (D) 100 (E) 1.5
Answer: C
0.0008154/0.00205x16.5=? Answer Choice: (A) 8.5 (B) 6.6 (C) 7.6 (D) 6.4 (E) 5.7
Answer: B
In an electric circuit, two resistors with resistances J and K are connected in parallel. In this case, if L is the combined resistance of these two resistors, then the reciprocal of L is equal to the sum of the reciprocals of J and K. What is L in terms of J and K? Answer Choice: (A) J/K (B) K/J (C) J+K (D) JK/(J + K) (E) NONE OF THESE
Answer: D
John and Steve are speed walkers in a race. John is 14 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push? Answer Choice: (A) 13 seconds (B) 17 seconds (C) 26 seconds (D) 32 seconds (E) 51 seconds
Answer: D
A boat M leaves shore A and at the same time boat B leaves shore B. They move across the river.
They met at 500 yards away from A and after that they met 300 yards away from shore B without
halting at shores. Find the distance between the shore A & B Answer Choice: (A) 1100 yards (B) 1200 yards (C) 1300 yards (D) 1400 yards (E) None of these
Answer: B
Aman started a business investing Rs. 50,000. 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) 120:105:118 (B) 60:105:112 (C) 12:105:110 (D) 12:105:112 (E) 60:105:111
Answer: B
The average of ten numbers is X and the average of five of these is Y.If the average of the remaining five is z, then Answer Choice: (A) x = y+z (B) 2x = y+z (C) x = 2y+2z (D) none of the above (E) Cannot be determined
Answer: B
The line CD is parallel to AB and crosses the angle BOA so that O,B,D lie on the same line and so do O,A,C. If OA=2, AC=4 and BD=6, determine the length of OB. Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: A
If a-b= 4 and a^2+b^2=80, find the value of ab Answer Choice: (A) 10 (B) 12 (C) 15 (D) 18 (E) 32
Answer: E
A group of people participate in some curriculum, 30 of them practice Yoga, 25 study cooking, 15 study weaving, 6 of them study cooking only, 8 of them study both the cooking and yoga, 7 of them participate all curriculums. How many people study both cooking and weaving? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader? Answer Choice: (A) 8 (B) 16 (C) 15 (D) 14 (E) 9
Answer: C
A fair coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than four times? Answer Choice: (A) 37/256 (B) 56/256 (C) 65/256 (D) 70/256 (E) 93/256
Answer: E
An empty fuel tank is filled with brand Z gasoline. When the tank is 3/4 empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent of the gasoline in the tank is brand Z? Answer Choice: (A) 40% (B) 41% (C) 43.75% (D) 42% (E) 44%
Answer: C
By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost? Answer Choice: (A) 116.6 (B) 116.68 (C) 116.69 (D) 116.66 (E) 116.62
Answer: D
Three years ago the average age of A and B was 18 years. with c joining them ,the average age become 22 years.how old is c? Answer Choice: (A) 26 (B) 31 (C) 24 (D) 22 (E) 27
Answer: C
9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 42 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ? Answer Choice: (A)  6 (B)  7 (C)  8 (D)  12 (E)  14
Answer: A
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length? Answer Choice: (A) 55 sec (B) 40 sec (C) 45 sec (D) 30 sec (E) 35 sec
Answer: A
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 1600. He sold both the items together for Rs. 31150. What percentage of profit did he make? Answer Choice: (A) 70.00% (B) 86.98% (C) 76.99% (D) 45% (E) None of these
Answer: C
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 6.5 hours, then the distance covered at 40 kmph is Answer Choice: (A) 130 km (B) 120km (C) 100km (D) 280km (E) none of these
Answer: D
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A? Answer Choice: (A) 12 (B) 81 (C) 77 (D) 66 (E) 73
Answer: A
Walking at the rate of 4kmph a man cover certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in. Answer Choice: (A) 12 min (B) 25 min (C) 40 min (D) 48 min (E) 58 min
Answer: C
Sam invested Rs. 5000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be? Answer Choice: (A) 500.2 (B) 320.0 (C) 220.5 (D) 100.1 (E) 230.2
Answer: C
A circular mat with diameter 12 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) 1/5 (D) 3/4 (E) 5/6
Answer: C
A student got twice as many sums wrong as he got right. If he attempted 54 sums in all, how many did he solve correctly ? Answer Choice: (A) 12 (B) 16 (C) 18 (D) 24 (E) 26
Answer: C
A female student must answer 7 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 7 questions are available to the student? Answer Choice: (A) 100 (B) 120 (C) 140 (D) 110 (E) 150
Answer: D
In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is five years older than Ellen, how old is Aaron? Answer Choice: (A) 0.5–5 (B) 6–10 (C) 11–15 (D) 16–20 (E) 21–25
Answer: A
If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true? Answer Choice: (A) x < y < z (B) Y< z < x (C) y < x < z (D) x < z < y (E) None of these
Answer: D
a metallic cuboid of dimensions 27x18x12 m is melted.find the minimum amount of the volume of molten metal which should be added to mould it into a cube whose edge is 'a' cm where a is an integer. Answer Choice: (A) 16 m (B) 17 m (C) 18 m (D) 19 m (E) 15 m
Answer: C
Gasoline varies in cost from $0.95 to $1.15 per gallon. If a car’s mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost? Answer Choice: (A) $15.50 (B) $15.72 (C) $16.10 (D) $16.50 (E) $17.01
Answer: A
Mitchell took a box of pushpins and counted how many there were of each colour. There was 1 red pushpin, 5 blue pushpins, and 2 yellow pushpins. How many pushpins were there in all? Answer Choice: (A) 02 (B) 04 (C) 03 (D) 05 (E) 08
Answer: E
Robert spent $120 in buying raw materials, $195 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount? Answer Choice: (A) A)$150 (B) B)$210 (C) C)$350 (D) D)$160 (E) E)$200
Answer: C
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 115. If the ratio of his marks in English and Maths is 5:1, find his marks in Science? Answer Choice: (A) 18 (B) 77 (C) 25 (D) 55 (E) 31
Answer: C
In an election, candidate A got 85% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate. Answer Choice: (A) 330000 (B) 340000 (C) 347000 (D) 356000 (E) 404600
Answer: E
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m? Answer Choice: (A) 29798 (B) 27908 (C) 78902 (D) 26000 (E) 27991
Answer: D
Helen went to the stationers and bought things worth Euro 23, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) uro 16.70 (B) uro 15.70 (C) uro 13.70 (D) uro 18.70 (E) uro 17.70
Answer: E
In the coordinate plane, the points F (-1,1), G (1,2), and H (2,1) lie on a circle with center P. What are the coordinates of point P ? Answer Choice: (A) (0.5,0.5) (B) (1,1) (C) (1,2) (D) (1,-2) (E) (2.5, -2.5)
Answer: A
How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m? Answer Choice: (A) 1600 (B) 450 (C) 300 (D) 1200 (E) 600
Answer: D
The market value of a certain machine decreased by 15 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later? Answer Choice: (A)  $8,000 (B)  $5,600 (C)  $3,200 (D)  $4,400 (E)  $800
Answer: B
The water level in a rectangular swimming pool measuring 60 feet by 10 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons) Answer Choice: (A) 100 (B) 2250 (C) 750 (D) 1200 (E) 5625
Answer: B
A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the
mixture must be drawn off and replaced with water so that the mixture may be half water and half
syrup? Answer Choice: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17
Answer: C
If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability W that a number picked up in first 90 positive integers will have the result of # as an odd digit ? Answer Choice: (A) (a) 4/10 (B) (b) 4/9 (C) (c) 1/2 (D) (d) 6/10 (E) (e) 5/9
Answer: E
Suresh borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next two years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow? Answer Choice: (A) s.8500 (B) s.6000 (C) s.10880 (D) s.9000 (E) s.7000
Answer: C
a three digit number, sum of the digit is 17, the sum of square of digits is 109, if it is subtracted wit 495 the number gets reversed, find the three digit number. Answer Choice: (A) 683 (B) 863 (C) 368 (D) 686 (E) 786
Answer: B
Mohan purchased 12 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper? Answer Choice: (A) A)Rs.598 (B) B)Rs.594 (C) C)Rs.596 (D) D)Rs.595 (E) E)Rs.520
Answer: E
A can do a piece of work in 5 days and B can do it in 6 days how long will they both work together to complete the work? Answer Choice: (A) 2 6/11 (B) 2 8/11 (C) 2 7/11 (D) 2 9/11 (E) 2 10/11
Answer: B
What is the sum of the numbers between 1 and 20, inclusive? Answer Choice: (A) 310 (B) 200 (C) 215 (D) 285 (E) 210
Answer: E
The length of the shorter side of a rectangle is 2 units. The length of each
diagonal is 4 units. What is the acute angle between the diagonals? Answer Choice: (A) 15o (B) 22.5o (C) 45o (D) 60o (E) 75o
Answer: D
Sixty five percent of a number is 21 less than four fifth of that number. What is the number ? Answer Choice: (A) 240 (B) 180 (C) 120 (D) 220 (E) 140
Answer: E
For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $250 ? Answer Choice: (A)  $1 (B)  $2 (C)  $3 (D)  $4 (E)  $5
Answer: B
A watch was sold at a loss of 10%. If the watch was sold for $24 more, there would have been a gain of 6%. What is the cost price? Answer Choice: (A) $120 (B) $150 (C) $180 (D) $210 (E) $240
Answer: B
What is the absolute value of twice the difference of the roots of the equation D=5y^2 − 20y + 15 = 0 ? Answer Choice: (A)  0 (B)  1 (C)  2 (D)  3 (E)  4
Answer: E
If (2x + 2)(x + 3) = 2x^2 + x, what is a possible value of x? Answer Choice: (A)  -6/7 (B)  -6/8 (C)  -5/7 (D)  8/7 (E)  6/8
Answer: A
The water from one outlet, flowing at a constant rate, can fill a swimming pool in 12 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 8 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool? Answer Choice: (A)  0.22 (B)  0.31 (C)  2.50 (D)  3.21 (E)  4.8
Answer: E
If (2a + 3b)/(5a - 3b) = 23/5 , then the value of b : a is ? Answer Choice: (A) 4 : 1 (B) 1 : 4 (C) 4 : 5 (D) 5 : 4 (E) 1 : 2
Answer: D
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is? Answer Choice: (A) 3 sec (B) 5 sec (C) 6 ½ sec (D) 7 ½ sec (E) 5 ½ sec
Answer: D
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 14000, then find his savings? Answer Choice: (A) 3600 (B) 2800 (C) 3608 (D) 3602 (E) 3603
Answer: B
In how many ways can the letters of the word ARRANGED be arranged in a row so that the vowels appear in alphabetic order? Answer Choice: (A) 6720 (B) 5280 (C) 6240 (D) 5202 (E) 4020
Answer: A
Two numbers are respectively 71% and 80% more than a third number. The percentage that is first of the second is? Answer Choice: (A) 4% (B) 5% (C) 6% (D) 7% (E) 8%
Answer: B
A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be Answer Choice: (A) 7744 (B) 8844 (C) 5544 (D) 4444 (E) 3444
Answer: A