instruction stringlengths 48 1.22k | input stringclasses 1
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Two friends plan to walk along a 43-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 15% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other? Answer Choice: (A) 21 (B) 21.5 (C) 22 (D) 22.5 (E) 23 | E | |
In the coordinate plane, points (x, 1) and (5, y) are on line k. If line k passes through the origin and has slope 1/5, then what are the values of x and y respectively? Answer Choice: (A) 4 and 1 (B) 1 and 5 (C) 5 and 1 (D) 3 and 5 (E) 5 and 3 | C | |
For all numbers p and q, the operation @ is defined by p@q = p^2 - pq. If xy β 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y) Answer Choice: (A) II (B) I and II (C) I and III (D) II and III (E) All of the above | B | |
Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 4%. What is the approximate interest he pays annually? Answer Choice: (A) $1600 (B) $2000 (C) $2150 (D) $2500 (E) $12000 | A | |
The speed at which a man can row a boat in still water is 25 kmph. If he rows downstream, where the speed of current is 11 kmph, what time will he take to cover 80 metres? Answer Choice: (A) 18 seconds (B) 27 seconds (C) 26 seconds (D) 12 seconds (E) 8 seconds | E | |
There are k-2 members in a certain band, including Jim and Ellen. Two members are to be selected to attend the Grammy awards ceremony. If there are 6 possible combinations in which Jim and Ellen are not selected, what is the value of k? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12 | A | |
If (x^2 + 4x - 11)/5 β€ x + 1, then x could be represented by which of the following? Answer Choice: (A) β 3 β€ x β€ 4 (B) β 4 β€ x β€ 3 (C) β 3 β€ x β€ 3 (D) β 4 β€ x β€ β 3 (E) 3 β€ x β€ 4 | A | |
Find the smallest number of five digits exactly divisible by 22,33,66 and 44. Answer Choice: (A) 10101 (B) 11000 (C) 10110 (D) 10111 (E) 10100 | E | |
The entrance fee for a fair is $5 for persons under the age of 18, and 20% more for persons older. Each ride at the fair costs $0.50. If Joe goes with her 6 years old twin brothers, and they each took 3 rides in total. How much money does Joe end up spending at the fair? Answer Choice: (A) 16 (B) 20.5 (C) 17.5 (D) 20 (... | B | |
If X and Y are digits and 8XY is a 3-digit number that is divisible by 2, which of the following is a possible product of X and Y? Answer Choice: (A) 15 (B) 31 (C) 12 (D) 27 (E) 91 | C | |
If Tim had lunch at $50 and he gave 20% tip, how much did he spend? Answer Choice: (A) A)$60.00 (B) B)$35.42 (C) C)$60.60 (D) D)$21.56 (E) E)$78.45 | A | |
Rs. 825 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 825 become in 3 years ? Answer Choice: (A) Rs. 1020.80 (B) Rs. 1025 (C) Rs. 1055 (D) Data inadequate (E) None of these | C | |
q is a positive integer and multiple of 2; p = 4^q, what is the remainder when p is divided by 10? Answer Choice: (A) 10 (B) 6 (C) 4 (D) 0 (E) It Cannot Be Determined | B | |
If q is the square of a positive integer, which of the following must be equal to the square of the next positive integer? Answer Choice: (A) βn + 1 (B) n + 1 (C) n^2 + 1 (D) q + 2βq + 1 (E) n^2 + 2n + 1 | D | |
Rs. 5600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/7:1/7:1/14? Answer Choice: (A) 300 (B) 992 (C) 1120 (D) 552 (E) 312 | C | |
If a/b=3/4 and 8a+5b=22,then find the value of a. Answer Choice: (A) 1/2 (B) 3/2 (C) 5/2 (D) 4/2 (E) 7/2 | B | |
Given that k/l < 1, and both k and l are positive integers, which one of the following must be greater than 1? Answer Choice: (A) k/l^2 (B) k^2/l (C) k^2/l^2 (D) l/k (E) β(k/l) | D | |
Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 10 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks and the GMAT was 716.67, what was the difference in the score of his last mock and his GMAT score? Answer Choice: (A) 20 (B) 32 (... | B | |
John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is? Answer Choice: (A) 50 (B) 45 (C) 65 (D) 78 (E) 64 | A | |
A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choice: (A) 53 km (B) 55 km (C) 52 km (D) 60 km (E) 50 km | E | |
The first five numbers in a regular sequence are 4, 10, X, 46, and 94. What is x ? Answer Choice: (A) 28 (B) 26 (C) 30 (D) 22 (E) 24 | D | |
Tim has 350 pounds of cement in 100, 50, and 25 pound bags. He has an equal number of each size bag. How many bags of cement does Tim have? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10 | C | |
What is the least value of x, So that 2x5475 is divisible by 9 Answer Choice: (A) 7 (B) 8 (C) 4 (D) 3 (E) 2 | C | |
Square P is inscribed in circle Q. If the perimeter of P is 40, what is the circumference of Q? Answer Choice: (A) 11β 2Ο (B) 10β 2Ο (C) 9β 2Ο (D) 8β 2Ο (E) 7β 2Ο | B | |
A debtor reached an agreement with his creditor to repay a loan by making a monthly payment which is double of the amount she paid the previous month. If the debtors first payment was $200, and he is expected to pay back 51200, how many months will it take to fully repay the loan? Answer Choice: (A) 9 (B) 10 (C) 9 (D) ... | A | |
As a bicycle salesperson, James earns a fixed salary of $30 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles... | C | |
A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio Q of students per class? Answer Choice: (A) Q=3 (B) Q=4 (C) 6 (D) 8 (E) 12 | A | |
A survey reveals that the average income of a companyβs customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $95,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instea... | A | |
The slant height of a cone is 35 cm and radius of the base is 14cm, find the curved surface of the cone. Answer Choice: (A) 4150 (B) 1780 (C) 1540 (D) 1500 (E) 6100 | C | |
A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 8 cubic feet. If a small block has half the width, half the depth, and half the length of a normal block, what is the volume of cheese in a small block in cubic feet? Answer Choice: (A) 1 (B) 5 (C) 4 (D) 6 (E) 2 | A | |
In a new housing development, trees are to be planted along the sidewalk of a certain street. Each tree takes up one square foot of sidewalk space, and there are to be 20 feet between each tree. How many trees can be planted if the road is 148 feet long? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 16 | A | |
What will be the difference in simple and compound interest on 2000 after three years at the rate of 10 percent per annum? Answer Choice: (A) 160 (B) 42 (C) 62 (D) 20 (E) None of these | C | |
A $500 investment and a $1,500 investment have a combined yearly return of 19 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have? Answer Choice: (A) 9% (B) 10% (C) 23% (D) 21% (E) 22% | C | |
Find the constant k so that : -x2 - (k + 11)x - 8 = -(x - 2)(x - 4) Answer Choice: (A) 11 (B) 12 (C) 17 (D) 14 (E) 15 | C | |
A positive whole number has factors of 3 and 5. The number MUST be divisible by: I. 15 II. 30 III. 60 Answer Choice: (A) I & II (B) III (C) I & III (D) II & III (E) II | B | |
Krishan and Nandan jointly started a business. Krishan invested six times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 6000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was? Answer Choice: (A) Rs.7800... | A | |
There are 8 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? Answer Choice: (A) 10 (B) 30 (C) 28 (D) 60 (E) 90 | C | |
A pipe takes a hours to fill the tank. But because of a leakage it took 2 times of its original time. Find the time taken by the leakage to empty the tank Answer Choice: (A) 50 min (B) 60 min (C) 90 min (D) 80 min (E) 120 min | E | |
Today is 22 days before Mariah's graduation. If she graduates on a Friday, what day of the week is it today? Answer Choice: (A) Monday (B) Friday (C) Tuesday (D) Thursday (E) Sunday | D | |
Suppose a, b, and c are positive integers with a < b < c such that
1/a
+
1/b
+
1/c
= 1. What is
a + b + c? Answer Choice: (A) 1 (B) 4 (C) 9 (D) 11 (E) no such integers exist | D | |
The age of man is three times the sum of the ages of his two sons.Four years hence,his age will be double of the sum of the ages of his sons.The fatherΓ’β¬β’s present age is : Answer Choice: (A) 36 years (B) 45 years (C) 50 years (D) 55 years (E) 75 years | A | |
A bottle of coke contains 200gm in place of 1kg of fluid. Find the actual % difference, given a 10% gain on initial fluid? Answer Choice: (A) 32.5% (B) 112.5% (C) 35% (D) 40% (E) 50% | B | |
A person can walk at a constant rate of 8mph and can bike at a rate of 16mph. If he wants to travel 64 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk? Answer Choice: (A) 20 (B) 30 (C) 48 (D) 64 (E) 72 | D | |
5358 x 51 = ? Answer Choice: (A) 273258 (B) 273268 (C) 273348 (D) 273358 (E) None of these | A | |
3 persons (1 couple and 1 single) are seated at random in a row of 5 chairs. What is the probability that the couple does not sit together? Answer Choice: (A) 5/7 (B) 4/5 (C) 2/5 (D) 3/5 (E) 11/8 | D | |
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 8 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel? Answer Choice: (A) 27/343 (B) 3/7 (C) 27/125 (D) 199/... | D | |
|x+3| β |4-x| = |8+x| How many S solutions will this equation have? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 | A | |
The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output? Answer Choice: (A) 20% (B) 24% (C) 30% (D) 32% (E) 79% | B | |
In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the male students is single? Answer Choice: (A) 2/7 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/7 | E | |
The cost of painting the whole surface area of a cube at the rate of 13 paise per Sq.cm is Rs. 343.98. Then the volume of the cube is Answer Choice: (A) 8500 cm3 (B) 9000 cm3 (C) 9250 cm3 (D) 9261 cm3 (E) None | D | |
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $50 to incur a loss 20%? Answer Choice: (A) 25 (B) 36 (C) 40 (D) 50 (E) 48 | A | |
A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio: Answer Choice: (A) 3:5 (B) 2:1 (C) 16:15 (D) 4:5 (E) None of these | C | |
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent? Answer Choice: (A) Rs. 45 (B) Rs. 50 (C) Rs. 55 (D) Rs. 60 (E) Rs. 65 | A | |
A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 95 Kmph (B) 90 Kmph (C) 92 Kmph (D) 95 Kmph (E) 98 Kmph | B | |
The smallest number when increased by " 1 " is exactly divisible by 6,9,15,35,45 is: Answer Choice: (A) 631 (B) 630 (C) 359 (D) 629 (E) 600 | D | |
How many keystrokes are needed to type the numbers from 1 to 500? Answer Choice: (A) 1156 (B) 1392 (C) 1480 (D) 1562 (E) 1788 | B | |
In a two-digit number, the digit in the unit's place is four times the digit in ten's place and the sum of the digits is equal to 10. What is the number? Answer Choice: (A) 82 (B) 41 (C) 14 (D) 56 (E) 28 | E | |
The edge of a cube is 7a cm. Find its surface? Answer Choice: (A) 24a8 (B) 24a4 (C) 24a1 (D) 24a2 (E) 294a2 | E | |
A shop sells chocolates It is used to sell chocolates for Rs.2 each but there were no sales at that price.When it reduced the price all the chocolates sold out enabling the shopkeeper to realize Rs 164.90 from the chocolates alone If the new price was not less than half the original price quoted How many chocolates wer... | B | |
A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part? Answer Choice: (A) 31 inches (B) 32 inches (C) 33 inches (D) 34 inches (E) 35 inches | A | |
Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125 Answer Choice: (A) 12 (B) 9 (C) 14 (D) 7 (E) 6 | B | |
The diagonals of a rhombus are 18 cm and 22 cm. Find its area? Answer Choice: (A) 277 (B) 266 (C) 198 (D) 288 (E) 212 | C | |
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest? Answer Choice: (A) 22 1/8 % (B) 22 3/2 % (C) 28 1/2 % (D) 22 1/2 % (E) 32 1/2 % | D | |
A and B invests Rs.6000 and Rs.12000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year? Answer Choice: (A) 32:99 (B) 8:21 (C) 32:45 (D) 34:89 (E) 35:21 | B | |
A train covers a distance of 10km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) m (B) m (C) m (D) m (E) m | C | |
The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive? Answer Choice: (A) 2.5 (B) 3.0 (C) 3.25 (D) 3.75 (E) 4.0 | C | |
A question paper consists of three sections 4,5 and 6 questions respectively. Attempting one question from each section is compulsory but a candidate need not attempt all the questions. In how many ways can a candidate attempt the questions? Answer Choice: (A) 209 (B) (4!-1)*(5!-1)*(6!-1) (C) 119 (D) 29295 (E) None | D | |
10 women can complete a work in 9 days and 10 children take 12 days to complete the work. How many days will 6 women and 7 children take to complete the work? Answer Choice: (A) 4 (B) 5 (C) 7 (D) 8 (E) 2 | D | |
Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 54. Find the third number? Answer Choice: (A) A)37 (B) B)85 (C) C)48 (D) D)43 (E) E)54 | E | |
At the end of a business conference the nine people present all shake hands with each other once. How many handshakes will there be altogether ? Answer Choice: (A) 20 (B) 45 (C) 36 (D) 90 (E) 95 | C | |
Sum of the squares of three numbers is 351 and the sum of their products taken two at a time is 245. Find the sum? Answer Choice: (A) 20 (B) 22 (C) 25 (D) 26 (E) 29 | E | |
What is the are of an equilateral triangle of side 16 cm? Answer Choice: (A) 64β6 cm2 (B) 64β3 cm2 (C) 64β9 cm2 (D) 34β3 cm2 (E) 24β3 cm2 | D | |
Each of the following equations W has at least one solution EXCEPT Answer Choice: (A) W=β2^n = (β2)^-n (B) 2^-n = (β2)^n (C) 2^n = (β2)^-n (D) (β2)^n = β2^n (E) (β2)^-n = β2^-n | A | |
If the population of a certain country increases at the rate of one person every 40 seconds, by how many persons does the population increase in 1 hour? Answer Choice: (A) 90 (B) 120 (C) 150 (D) 180 (E) 160 | A | |
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train? Answer Choice: (A) 288 (B) 180 (C) 288 (D) 277 (E) 265 | B | |
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm? Answer Choice: (A) 272 sq.cm (B) 267 sq.cm (C) 286 sq.cm (D) 251 sq.cm (E) 600 sq.cm | E | |
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length? Answer Choice: (A) 12.8 sec (B) 12.1 sec (C) 12.2 sec (D) 12.6 sec (E) 11.1 sec | B | |
The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 60 kmph its consumption is 1 litre per hour. if each litre costs $60 and other expenses per hous is $ 60, then what would be the minimum expenditure required to cover a distance of 600 Km? Answer Choice: (A... | C | |
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having 0 woman in committee ? Answer Choice: (A) 7/36 (B) 9/144 (C) 1/36 (D) 1/18 (E) 5/18 | C | |
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.? Answer Choice: (A) 20/69 (B) 20/63 (C) 20/65 (D) 20/61 (E) 20/62 | B | |
A train passes a station platform in 32 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Answer Choice: (A) 228 (B) 240 (C) 887 (D) 166 (E) 180 | E | |
If |w|=βw, which of the following must be true? Answer Choice: (A) xβ₯0 (B) wβ€0 (C) x2>x (D) x3<0 (E) 2x<x | B | |
Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first Answer Choice: (A) 8% (B) 9% (C) 10% (D) 11% (E) 12% | C | |
How many numbers from 39 to 79 are exactly divisible by 11? Answer Choice: (A) 5 (B) 7 (C) 4 (D) 11 (E) 12 | C | |
It is found that the volume of a cube is numerically equal to its surface area. Then the measure of its edge in meters is: Answer Choice: (A) 4 (B) 6 (C) 8 (D) 9 (E) cannot be determined | B | |
if there are 30 cans out of them one is poisned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisned can? Answer Choice: (A) 3 (B) 2 (C) 6 (D) 1 (E) 7 | D | |
How long does a train 165 meters long running at the rate of 72 kmph take to cross a bridge 660 meters in length? Answer Choice: (A) 28 (B) 41.25 (C) 55 (D) 18 (E) 12 | B | |
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 15%. What was its profit on the items sold in February? Answer Choice: (A) 27.5% (... | A | |
Half of 2 percent written as decimal is Answer Choice: (A) 0.01 (B) 0.5 (C) 0.05 (D) 0.005 (E) None of these | A | |
If books bought at prices ranging from Rs. 98 to Rs. 195 are sold at prices ranging from Rs. 120 to Rs 215, what is the greatest possible profit that might be made in selling 13 books ? Answer Choice: (A) Rs. 1650 (B) Rs. 3000 (C) Rs. 1521 (D) Rs. 1400 (E) Rs. 1560 | C | |
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 60kmph, find the rate at which the train B runs. Answer Choice: (A) 40 (B) 90 (C) 120 (D) 80 (E) 100 | B | |
I bought three toys for my triplet boys (one for each). I placed the toys in the dark store. One by one each boy went to the store and pick the toy. What is the probability that no boy will choose his own toy? Answer Choice: (A) 1/3 (B) 2/3 (C) 3/3 (D) 4/3 (E) 5/3 | A | |
A man, a woman and a boy can complete a job in 3 days, 4 days and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day? Answer Choice: (A) 10 (B) 41 (C) 31 (D) 21 (E) 22 | B | |
At present, the ratio between the ages of Amit and Dhiraj is 5 : 4. After 6 years, Amitβs age will be 26 years. What is the age of Dhiraj at present? Answer Choice: (A) 16 (B) 77 (C) 566 (D) 197 (E) 161 | A | |
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Answer Choice: (A) 9:6 (B) 9:8 (C) 9:1 (D) 9:9 (E) 9:5 | B | |
If x-y=10, which of the following must be true?
I. Both x and y are positive
II. If x is negative, y must be negative
III.If x is positive, y must be positive Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) II and III | B | |
If each side of a square is increased by 25%, find the percentage change in its area? Answer Choice: (A) 65.25 (B) 56.25 (C) 65 (D) 56 (E) 25 | B | |
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: Answer Choice: (A) 12 (B) 28 (C) 160 (D) 180 (E) 18 | C | |
If $500 is deposited into a savings account at an annual interest rate of 5% that compounds monthly, what is the value of the investment after 10 years? Answer Choice: (A) $750.00 (B) $823.50 (C) $973.25 (D) $1000.25 (E) $1100.00 | B | |
Two jars contain milk and water in the ratio 5: 4 and 2: 1 regpectively. What volume should be taken out from the first jar if volumes have to be taken out from both jars so as to fill up a third 30 l jar with milk to water in the ratio 1: 1 ? Answer Choice: (A) 7.5 l (B) 15 l (C) 22.5 l (D) It is impossible (E) none o... | D |
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