antoine-444/aqua_rat_dataset huggingface dataset:
Question: A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 35 instead of 99 then find the correct average marks up to two decimal places.
Choices:
74.31
72.43
73.43
73.82
Answer: D
Question: Presently the ratio between the ages of David and James is 3:2. after 8 years David will be 29. What is the present age of James?
Choices:
23
14
21
25
Answer: B
Question: A bookseller has two display windows. She plans to display 3 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Choices:
72
144
36
420
Answer: C
Question: Jim wishes to buy 3 gifts that cost 27 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts?
Choices:
$36
$7
$17
$27
Answer: A
Question: John goes to his office by car at a speed of 40kmph and reaches 8 minutes earlier. If he goes at a speed of 30kmph , he reaches 4mins late. What is the distance from his house to office?
Choices:
20 km
22 km
24 km
30 km
Answer: C
Question: In how many ways can seven members be selected from a group of fifteen members?
Choices:
15C7
10C4
10C3
10C1
Answer: A
Question: At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
Choices:
15 years
19 and half
21 years
23 years
Answer: A
Question: The sum of digits of a two digit number is 12,The difference between the digits is 4. Find the number
Choices:
84
83
72
None
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 6 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
3:1
2:3
5:3
Answer: B
Question: A rectangular window is twice as long as it is wide. If its perimeter is 16 feet, then what are its dimensions in feet?
Choices:
8/3 by 16/3
2 by 4
3 by 6
10/3 by 20/3
Answer: A
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Choices:
12
29
28
29
Answer: C
Question: If the annual increase in the population of a town is 4% and the present number of people is 15625, what will the population be in 3 years?
Choices:
16458
25600
17576
14785
Answer: C
Question: Raviraj invested an amount of 10,000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
Choices:
13,210
13,320
13,120
None of these
Answer: D
Question: The ratio of three numbers is 1:2:5 and the sum of their squares is 4320. The sum of the numbers is?
Choices:
B)12
C)15
D)14
E)9
Answer: A
Question: 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?
Choices:
20 days
10 days
60 days
40 days
Answer: B
Question: Sum of three numbers 308, If the first number be twice then second and third number be one third of the first, then the second number is
Choices:
B)71
C)72
D)83
E)84
Answer: D
Question: There are several bags of same weight. A bag is 6 kgs plus three fourth of the weight of an other bag. What is the weight of a bag?
Choices:
88
70
27
24
Answer: D
Question: If a store adds 60 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 30%, what will the new inventory of chairs be?
Choices:
60
100
156
160
Answer: C
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Choices:
18
77
55
34
Answer: A
Question: At 15:00 there were 22 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
Choices:
14
25
27
32
Answer: D
Question: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
27
98
27
21
Answer: D
Question: A motorist covers a distance of 39km in 45min by moving at a speed of x kmph for the first 15min, then moving at double the speed for the next 20 min, and then again moving at his original speed for the rest of the journey. Find x.
Choices:
27 kmph
55 kmph
36 kmph
29 kmph
Answer: C
Question: A sum of money on compound interest amounts to Rs. 8240 in 2 years and Rs. 9888 in 3 years. The rate of interest is
Choices:
25%
20%
12%
24%
Answer: B
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Choices:
10
12
13
15
Answer: D
Question: A, B and C invested Rs. 27000/-, Rs. 35000/- and Rs. 14000/- respectively in a business. At theend of year, they earn a profit of Rs 5320/-. B’s share of profit is:
Choices:
Rs. 2450/-
Rs. 2045/-
Rs. 2504/-
None of these
Answer: A
Question: Rajeev purchased six calculators at the cost of Rs.690. How many calculators can he purchase for Rs.920?
Choices:
8
11
12
14
Answer: A
Question: Working alone, Mary can pave a driveway in 5 hours and Hillary can pave the same driveway in 2 hours. When they work together, Mary thrives on teamwork so her rate increases by 33.33%, but Hillary becomes distracted and her rate decreases by 50%. If they both work together, how many hours will it take to pave the driveway?
Choices:
2 hours
5 hours
6 hours
7 hours
Answer: A
Question: Which of the following equations describes a line that is perpendicular to y=x+5?
Choices:
y = −1 − x
y = 5x
y = 5x+1
y = 1/x + 5
Answer: A
Question: If c= (a-1)(a+2), then what is the least possible value of c?
Choices:
2
-9/4
1
-2
Answer: B
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
80%
40%
48%
10%
Answer: B
Question: (100 x 60) + (138 x 400) = ? x 60
Choices:
550
1100
1020
600
Answer: C
Question: Yearly subscription to professional magazines cost a company $940.00. To Make a 25% cut in the magazine budget, how much less must be spent?
Choices:
705
656
657
658
Answer: A
Question: The population of a city increases by 9% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years?
Choices:
9.27%
25.97%
12%
None of these
Answer: B
Question: A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?
Choices:
330 yr
350 yr
360 yr
370 yr
Answer: C
Question: Smita was making 1 design (again some nonsense) size of larger cube to be made is 5*5*5 using smaller cubes of 1*1*1. She created solid larger cube .Then she decided to make hollow cube of same size. Then how many 1*1*1 cubes required to make hollow larger cube.
Choices:
96 cubes
97 cubes
99 cubes
98 cubes
Answer: D
Question: 4,6,10,14,22,34,38,46 ? what is next term in the series.
Choices:
52
56
58
60
Answer: C
Question: In one hour, a boat goes 11km along the stream and 5 km against it. Find the speed of the boat in still
water
Choices:
7
8
9
10
Answer: B
Question: A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match
Choices:
37
38
39
35
Answer: C
Question: Together, Andrea and Brian weigh p pounds; Brian weighs 8 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?
Choices:
3p/4 - 4
3p/2 - 5
5p/4 - 10
5p - 5
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
234
285
236
250
Answer: B
Question: The average age of applicants for a new job is 30, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Choices:
16
17
18
34
Answer: B
Question: If m and n are the roots of the quadratic equation x^2−(2√5)x−2=0, the value of m2+n2 is:
Choices:
20
22
24
32
Answer: C
Question: If x^2 + y^2 = 16 and xy = 3, then (x − y)^2 =
Choices:
11
10
17
20
Answer: B
Question: At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 150 male associates, how many female managers are there?
Choices:
20
25
30
35
Answer: C
Question: A shopkeeper loses 15%,if an article is sold for Rs. 136. What should be the selling price of the article to gain 20%?
Choices:
s.148
s.144
s.189
s.192
Answer: D
Question: Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 50,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?
Choices:
60,000
80,000
90,000
120,000
Answer: D
Question: A man takes 3 hours 45 minutes to row a boat 30 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.
Choices:
2 km/hr
3 km/hr
4 km/hr
None of these
Answer: B
Question: There are 7 man and 5 women sitting in a circle, find the all possible way so that two women wont sit together?
Choices:
6!*7P5
6!*7P3
5!*7P5
4!*7P5
Answer: A
Question: In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 90% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?
Choices:
5%
4.5%
4%
6%
Answer: B
Question: Convert the 8/36 m/s into kilometers per hour?
Choices:
0.8 kmph
1.3 kmph
1.2 kmph
5.7 kmph
Answer: A
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $42 more. What was his original selling price?
Choices:
$570
$660
$720
$850
Answer: B
Question: How many times does a clock from a right angle in 24 hours?
Choices:
24
22
40
48
Answer: D
Question: If X is the set of prime single-digit numbers and Y is a set containing each of the numbers in set X raised to the power of 2, how much greater is the median of set Y than the median of set X?
Choices:
4
9
13
17
Answer: C
Question: A merchant marks his goods up by 20% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount?
Choices:
8%
21%
15%
17%
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 3 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 43000, then the share of B is?
Choices:
36000
27778
27772
81122
Answer: A
Question: If 3x+y=40, 2x-y=20, for integers of x and y, 3y^2=?
Choices:
48
0
10
3
Answer: A
Question: At a certain fast food restaurant, Brian can buy 3 burgers, 7 shakes and 1 order of fries for exactly Rs 120. At the same place it would cost Rs 164.5 for 4 burgers, 10 shakes and 1 order of fries. How much would it cost for an ordinary meal of 1burgers, 1 shakes and 1 order of fries ?
Choices:
Rs. 31
Rs 21
Cannot be determined
None of these
Answer: A
Question: If 0.764 B = 1.236 A, then what is the value of (B - A)/(B + A) ?
Choices:
0.236
2
0.472
None
Answer: A
Question: A certain car dealership offers its newest model in ten exterior and ten interior colors. If the ten interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?
Choices:
81
90
10!/2!
10!
Answer: B
Question: The average of six numbers is 3.65. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.6
4.2
4.1
3.7
Answer: D
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
2: 0
2: 4
2: 3
2: 1
Answer: C
Question: On a certain day, Tim invested $500 at 10 percent annual interest, compounded annually, and Lana invested 900 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
Choices:
$12.75
$51.75
$100.75
$105
Answer: A
Question: If the sum of a set of 5 different positive prime numbers is 94, what is the difference between smaller 2 prime numbers between them?
Choices:
4
5
9
11
Answer: B
Question: If 6 (A's capital) = 8 (B's capital) = 12 (C's capital). Then the ratio of their capitals is?
Choices:
4:3:1
4:3:2
20:15:11
20:15:19
Answer: B
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
88
26
12
Answer: A
Question: The ratio of two numbers is 3:4 and their sum is 35. The greater of the two numbers is?
Choices:
20
16
17
19
Answer: A
Question: Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 26^a and y = 9^b, which of the following is a possible units digit of xy?
Choices:
6
5
7
8
Answer: A
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/67
31/17
31/31
Answer: A
Question: 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. What is the speed of the second train ?
Choices:
54 km/hr
66 km/hr
82 km/hr
89 km/hr
Answer: C
Question: The average of first five multiples of 7 is?
Choices:
8
9
5
21
Answer: D
Question: The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
279
235
288
211
Answer: B
Question: If 2^x + 2^y = x^2 + y^2, where x and y are non negative and non zero integers, what is the greatest possible value of x + y possible from options below?
Choices:
4
2
3
none of these
Answer: A
Question: A jar contains only red, yellow, and orange marbles. If there are 1 red, 5 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
Choices:
1/45
2/45
3/22
5/22
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 25 years and that of wife and the child 5 years ago was 18 years. The present age of the husband is:
Choices:
36 Years
38 Years
39 Years
40 Years
Answer: B
Question: a person travels from his house to office from 11:10am to 12:10 am and covers a distence of 20km. find the average speed of the person.
Choices:
20.5km/h
21.1km/h
22.1km/h
20km/h
Answer: D
Question: When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 25% water?
Choices:
1.5 kg
1.7 kg
1.9 kg
None of these
Answer: A
Question: Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
Choices:
27678
6000
2977
27681
Answer: B
Question: A sum of money is sufficient to pay C's wages for 12 days and D's wages for 4 days. The same money is sufficient to pay the wages of both for?
Choices:
3
5
2
1
Answer: A
Question: what is the next term of this series6,10,9,15,12,20,15,25,18...?
Choices:
10
11
12
30
Answer: D
Question: A beekeeper has 300,000 bees living in seven beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?
Choices:
51724
60,000
80,000
90,000
Answer: A
Question: Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.2,40,000 earned at the end of 3 years from the start of the business in 1999?
Choices:
Rs 50000
Rs 70000
Rs 80000
None
Answer: C
Question: Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $105. What is the share of Rahul?
Choices:
$42
$60
$100
$90
Answer: A
Question: The odds against ram solving the problem are 5 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?
Choices:
5/21
16/21
23/28
71/96
Answer: D
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 54 years now, the son's age five years back was?
Choices:
19years
20years
21years
22years
Answer: D
Question: The distance between Station Atena and Station Barcena is 90 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena to the train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels in the following two cases:
(a) The bird flies at 90 miles per hour and the speed of the train is 60 miles per hour.
(b) the bird flies at 60 miles per hour and the speed of the train is 90 miles per hour
Choices:
135miles,60miles
135miles,70miles
136miles,60miles
135miles,80miles
Answer: A
Question: At what rate percent of simple interest will a sum of money double itself in 11 years?
Choices:
9.09 %
8 .2 %
4.94 %
5.54 %
Answer: A
Question: The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year?
Choices:
363580
363650
373650
386750
Answer: B
Question: Evaluate: 1222343 - 12*3*2 =?
Choices:
122336
122347
126666
383838
Answer: A
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
Choices:
25 : 0
25 : 8
25 : 2
25 : 9
Answer: C
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
8 days
11 days
13 days
14 days
Answer: A
Question: Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 60 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
Choices:
10
20
25
30
Answer: A
Question: Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Choices:
187
300
600
555
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg, what is his percent?
Choices:
66.7%
55%
28%
55%
Answer: A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
12%
86 %
42 %
16%
Answer: A
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
480
882
269
298
Answer: A
Question: The length of a train and that of a platform are equal.If with a speed of 90 kmph the train crosses the platform in one minute,then the length of the train in metres is
Choices:
600
750
900
950
Answer: C
Question: A and B started a business with their capitals Rs. 3,00,000 and 18,00,000 respectively. Annual profit will be distributed between them in the ratio
Choices:
2:3
1:3
1:6
1:9
Answer: C
Question: A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $200,000, one of them is $300,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?
Choices:
720
740
680
690
Answer: C
Question: Ravi buys 100 5% shares of face value Rs.100 at Rs.15000 .If he sells
them off after a year at Rs 155 a share ,what is his yield ?
Choices:
6.67%
5%
3.33%
4.33%
Answer: A
Question: What percent of 180 is 45?
Choices:
4%
25%
40%
250%
Answer: B
Question: a is an integer greater than 29 but less than 41, b is an integer greater than 39 but less than 51, what is the range of a/b?
Choices:
1/2
2/5
1
5/4
Answer: B
Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is
Choices:
30 liters
50 liters
60 liters
None of these
Answer: C
Question: A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately.
Choices:
10.4 km/hr
10.6 km/hr
10.8 km/hr
None of these
Answer: C
Question: What distance (in meters) will be covered by a bus moving at 72 km/hr in 40 seconds?
Choices:
800
860
920
980
Answer: A
Question: In a certain game there are 6 steps, referred to as step 1, step 2, and so on with the final step being step 6. The steps are played one after the other. In each step a score of 1, 2, 3, 4, or 5 is obtained. Roslin played the game, getting at least one score of each of 1, 2, 3, 4, and 5, and never getting the same score in consecutive steps. What is the greatest possible score that Roslin could have gotten?
Choices:
30
20
15
10
Answer: A
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
300
500
600
700
Answer: B
Question: At a local beach, the ratio of little dogs to average dogs to enormous dogs is 2:5:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
Choices:
40%
50%
55%
70%
Answer: C
Question: The perimeter of a rhombus is 52 units. One of its diagonal is 24 units. What is its second diagonals length?
Choices:
10
15
20
25
Answer: A
Question: In order to obtain an income of Rs. 500 from 30% stock at Rs. 90, one must make an investment of
Choices:
Rs.1430
Rs.1450
Rs.1400
Rs.1500
Answer: D
Question: An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 3 different packages, with an average (arithmetic mean) of 10 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 8 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
Choices:
9 pounds
10 and 2/5 pounds
11 pounds
11 and 1/7 pounds
Answer: A
Question: A box contains nine slips that are each labeled with one number: 1, 2, 3, 5, 8, 21, 34 and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
Choices:
1/6
1/7
15/36
21/36
Answer: B
Question: A truck uses 60-gallon fuel tank wants to travel to Cleveland, which is 480 miles away. The driver recognizes that the current engine, which can travel only 10 miles per gallon, will not get him there. By how many miles per gallon of fuel efficiency be improved to make the truck to Cleveland possible?
Choices:
2
8
5
4
Answer: A
Question: The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 6 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
Choices:
18 1/2
18 3/4
18
19 1/4
Answer: C
Question: How much is 65% of 40 is greater than 4/5 of 25?
Choices:
776
66
12
6
Answer: D
Question: A and B together have Sterling 1250. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Choices:
Sterling 484
Sterling 500
Sterling 664
None
Answer: B
Question: At a party, there were two times as many females as males and same times as many adults as children. Which of the following could NOT be the number of people at the party?
Choices:
258
216
121
72
Answer: C
Question: A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 10hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
Choices:
10hr
5hr
4hr
15hr
Answer: A
Question: Tom is having a cookout. 9 people want steak, 27 people want grilled chicken breast, and 13 people want bratwurst. Each steak cost $21.00, each chicken breast cost $3.24, and each bratwurst cost $4.30. What is the average price per piece of meat Tom paid?
Choices:
$6.78
14.74
28.54
9.51
Answer: A
Question: If the sum of three consecutive positive integers is A, then the sum of the next five consecutive integers in terms of A is:
Choices:
3A/5
3A/5 + 12
5A/3
5A/3 + 20
Answer: D
Question: Jim’s Taxi Service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$4.45
$4.80
$5.5
$5.40
Answer: C
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
10
12
16
20
Answer: A
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 90 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
480
288
192
240
Answer: C
Question: Man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
22
12
15
17
Answer: A
Question: UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 4:6. If 40% of the Toyota bought and 60% of the Honda bought were SUVÃ¢â‚¬â„¢s. How many SUVÃ¢â‚¬â„¢s did UBA capital buy in the aforementioned purchase?
Choices:
64%
68%
69%
52%
Answer: D
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
4 sec
3 sec
6 sec
1 sec
Answer: C
Question: A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 2 days. For how many number of days should A and C should work together to complete the remaining work ?
Choices:
2/3
1/3
4/3
5/2
Answer: B
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 680. The number of hares in the zoo is?
Choices:
99
77
140
221
Answer: C
Question: Find the sum of first 89 odd numbers
Choices:
7921
7900
4980
4960
Answer: A
Question: What number should replace the question mark?
123, 124, 126, 132, 133, 136, 142, 143, 147, ?
Choices:
154
165
134
164
Answer: A
Question: Statement: An amount of money was lent for 3yrs. What will be the difference between the simple and the CI earned on it at the same rate?
Conclusion:
1) The rate of interest was 8 p.c.p.a.
2) The total amount of simple interest was Rs. 1200
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: D
Question: A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 50 percent.
Choices:
150
175
160
130
Answer: A
Question: The annual interest rate earned by an investment increased by 8 percent from last year to this year. If the annual interest rate earned by the investment this year was 27 percent, what was the annual interest rate last year?
Choices:
20%
25%
23%
21%
Answer: B
Question: A start walking from a place at a uniform speed of 6 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.
Choices:
6.6 kmph
4 kmph
7 kmph
5.3 kmph
Answer: A
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 19% home electronics; 10% food additives; 24% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Choices:
90°
18°
36°
52°
Answer: A
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
85 cm2
11 cm2
15 cm2
35 cm2
Answer: D
Question: Three numbers are in the ratio 1:2:4 and their H.C.F is 6. The numbers are?
Choices:
6, 12, 32
6, 18, 24
6, 12, 28
6, 12, 24
Answer: D
Question: A train 180 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
Choices:
10 s
7 s
12 s
None of these
Answer: C
Question: The income of a company increases 30% per annum. If its income is Rs 26,64,000 in the year 1999, what was its income in the year 1997?
Choices:
Rs.16,55,423
Rs.15,76,331
Rs.16,76,331
none of these
Answer: B
Question: A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 50, how many horses are there ?
Choices:
10
14
16
18
Answer: A
Question: There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?
Choices:
Rs. 611
Rs. 610
Rs. 616
Rs. 615
Answer: C
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.30 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
272
865.8
277
311
Answer: B
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Choices:
276
280
285
295
Answer: C
Question: A group of 6 children and 10 adults are going to the zoo. Child tickets cost $10, and adult tickets cost $16. How much will the zoo tickets cost in all?
Choices:
$220
$150
$100
$120
Answer: A
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 3 and 4 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Choices:
5 PM
4 PM
3 PM
2 PM
Answer: D
Question: what is a percent of b divided by b percent of a?
Choices:
10
1
a
b
Answer: B
Question: A and B invests Rs.3000 and Rs.6500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:6
9:5
9:13
Answer: D
Question: If 1/a^2 + a^2 represents the diameter of circle O and 1/a + 2a = 3, which of the following best approximates the circumference of circle O?
Choices:
22
20
16
12
Answer: C
Question: The contents of a certain box consist of 48 apples and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be apples?
Choices:
72
82
54
65
Answer: B
Question: 3 letters have to be put into their 3 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes?
Choices:
1/6
1/120
1/240
3/5
Answer: A
Question: A number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: If x-1 – 1 is divided by x - 1 the quotient is:
Choices:
1/(x-1)
- 1/(x-1)
1/x,
– 1/x
Answer: D
Question: Two trains of equal are running on parallel lines in the same direction at 44 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
40 m
80 m
82 m
84 m
Answer: A
Question: If two sides of a triangle are 5 and 12, respectively, which of the following could NOT be the area of this triangle?
Choices:
6
38
29
17
Answer: B
Question: You and your friend spent a total of $11 for lunch. Your friend spent $3 more than you. How much did your friend spend on their lunch?
Choices:
$3
$7
$6
$5
Answer: B
Question: The ratio between the sale price and the cost price of an article is 9:7. What is the ratio between the profit and the cost price of that article?
Choices:
2:7
3:6
2:0
2:1
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
8.5 sec
2.2 sec
4.5 sec
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
157.98
157.5
157.19
157.12
Answer: B
Question: In how many different number of ways 3 boys and 1 girls can sit on a bench?
Choices:
24
60
78
80
Answer: A
Question: On my sister’s 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous year?
Choices:
150 cm
142 cm
154 cm
160 cm
Answer: A
Question: Average of all prime numbers between 25 to 50
Choices:
38
39
39.8
40
Answer: A
Question: Weights of two friends Ram and Shyam are in the ratio 6:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
Choices:
10%
21%
16%
None
Answer: B
Question: The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 324 different signs. If the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 324 signs?
Choices:
248
1292
15,128
30,256
Answer: B
Question: If 5 cats can kill 5 rats in 5 minutes, how long will it take 100 cats to kill 100 rats?
Choices:
2 minutes
3 minutes
4 minutes
5 minutes
Answer: D
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
Rs.288
Rs.485
Rs.285
Rs.282
Answer: C
Question: If 6x^2 + x - 12 = (qx + b)(cx + d), then |q| + |b| + |c| + |d| =
For a complete solution and more practice problems, see this blog:
http://magoosh.com/gmat/2012/algebra-on ... to-factor/
Choices:
12
15
18
20
Answer: A
Question: A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15 km toward the right and finally travels 5km towards the east, how far is he from his starting place?
Choices:
3
4
6
7
Answer: A
Question: If n = 20! + 15, then n is divisible by which of the following?
I. 15
II. 17
III. 19
Choices:
I only
III only
I and II
II and III
Answer: A
Question: Jack has three more cards than Bill. Together they have 47 cards. If x represents the number of cards Bill has, then an equation that can be used to determine the number of cards each one has is
Choices:
2x + 3 = 47
x - 3 = 47
2x - 3 = 47
3x + 3 = 47
Answer: A
Question: A key ring has 7 keys. How many different ways can they be arranged?
Choices:
6
5!
6!
7!
Answer: A
Question: 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?
Choices:
3!2!
4!4!
10!
10!/5!
Answer: A
Question: 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?
Choices:
72%
20%
82%
16%
Answer: B
Question: The number of positive integer solutions for the equation x +y +z + t = 15 is
Choices:
584
384
364
394
Answer: C
Question: A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
Choices:
116
128
175
256
Answer: B
Question: 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?
Choices:
15yr
14yr
10yr
20yr
Answer: C
Question: 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?
Choices:
5
8
9
11
Answer: D
Question: 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?
Choices:
5y
3y
8y
9y
Answer: B
Question: 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?
Choices:
1/26
3/26
1/52
4/52
Answer: A
Question: Divide $100 among W,X in the ratio 3:7. How many $ that X get?
Choices:
$50
$60
$70
$80
Answer: C
Question: 3, 12, 7, 26, 15, ?
Choices:
44
54
64
74
Answer: B
Question: 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?
Choices:
4
6
3
7
Answer: A
Question: 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?
Choices:
8
1
9
2
Answer: C
Question: Jim drove 642 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Choices:
432 miles
558miles
887 miles
767 miles
Answer: B
Question: How many boxes do you need if you have to pack 1080 apples into cases that each hold one dozen apples ?
Choices:
60
70
80
90
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Choices:
699
250
168
150
Answer: B
Question: 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?
Choices:
Beth
Barbara
none
Mary
Answer: A
Question: If y is an integer, then the least possible value of |32 - 7y| is
Choices:
2
3
4
5
Answer: B
Question: 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?
Choices:
10 hours
12 hours
24 hours
30 hours
Answer: B
Question: On dividing 17698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
Choices:
199
852
741
785
Answer: A
Question: 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?
Choices:
50
42
84
61
Answer: D
Question: 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?
Choices:
1500
2887
1778
1221
Answer: A
Question: 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?
Choices:
12 years
66 years
88 years
55 years
Answer: A
Question: How many numbers from 29 to 79 are exactly divisible by 11?
Choices:
5
9
11
12
Answer: A
Question: 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 ?
Choices:
-1
-3
4
9/2
Answer: A
Question: 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
Choices:
b
c
can't say
none
Answer: B
Question: Average of first five multiples of 5 is
Choices:
11
13
15
17
Answer: C
Question: 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?
Choices:
(5/36)^2
1/2
(31/36)^2
29/33
Answer: D
Question: Number of prime numbers between 15 and 45 is
Choices:
8
6
7
9
Answer: A
Question: 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?
Choices:
3000
1000
2999
17212
Answer: B
Question: 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?
Choices:
277
350
270
281
Answer: B
Question: 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?
Choices:
1/2
2/3
5/6
17/18
Answer: A
Question: 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?
Choices:
878
30
10
11
Answer: C
Question: What is the square root of 16?
Choices:
4
35
42
86
Answer: A
Question: 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?
Choices:
17
16
32
10
Answer: C
Question: In how many ways can 7 boys and 4 girls sit around a table in such a way that no two girls sit together?
Choices:
625800
685000
615000
604800
Answer: D
Question: 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?
Choices:
42 sec
45 sec
48 sec
50 sec
Answer: C
Question: If r and s are even integers, which of the following is an odd integer?
Choices:
r(s − 1)
r(r + 5)
3r + 4s
(r + 3)(s − 1)
Answer: D
Question: By selling 110 mangoes, a fruit-seller gains the selling price of 20 mangoes. Find the gain percent?
Choices:
32.32%
17.71%
22.22%
33.33%
Answer: C
Question: On three consecutive flips of a coin, what is the probability that all three produce the same result?
Choices:
1/8
1/4
3/8
1/2
Answer: B
Question: 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.
Choices:
700
240
620
260
Answer: B
Question: 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?
Choices:
1
3
4
5
Answer: A
Question: If (b-5)(y+2) = 0 which of the following must be true?
Choices:
b > y
b < y
by = -10
None of the above
Answer: D
Question: 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?
Choices:
85
95
100
105
Answer: A
Question: (1^2 + 2^2 + 3^2 + ... + 10^2) = ?
Choices:
385
375
55
58
Answer: A
Question: 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 ?
Choices:
5500
5000
5800
6000
Answer: D
Question: 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.
Choices:
30
133.3
100
1.5
Answer: B
Question: 0.0008154/0.00205x16.5=?
Choices:
6.6
7.6
6.4
5.7
Answer: A
Question: 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?
Choices:
K/J
J+K
JK/(J + K)
NONE OF THESE
Answer: C
Question: 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?
Choices:
17 seconds
26 seconds
32 seconds
51 seconds
Answer: C
Question: 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
Choices:
1200 yards
1300 yards
1400 yards
None of these
Answer: A
Question: 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?
Choices:
60:105:112
12:105:110
12:105:112
60:105:111
Answer: A
Question: 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
Choices:
2x = y+z
x = 2y+2z
none of the above
Cannot be determined
Answer: A
Question: 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.
Choices:
3
5
6
7
Answer: A
Question: If a-b= 4 and a^2+b^2=80, find the value of ab
Choices:
12
15
18
32
Answer: D
Question: 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?
Choices:
2
3
4
5
Answer: C