antoine-444/aqua_rat_dataset huggingface dataset:
Question: Pipe A usually fills a tank in 2 hours. On account of a leak at the bottom of the tank, it takes pipe A 30 more minutes to fill the tank. How long will the leak take to empty a full tank if pipe A is shut?
Choices:
8 hours
9 hours
10 hours
11 hours
Answer: C
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 1, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
Choices:
1/14
1/28
2/49
2/81
Answer: C
Question: 5n + 7 > 12 and 7n - 5 < 44; n must be between which numbers?
Choices:
2 and 6
0 and 9
1 and 7
2 and 9
Answer: C
Question: A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Choices:
35 hrs
10 hrs
15 hrs
50 hrs
Answer: A
Question: The weight of four dogs is determined to be 25 pounds, 31 pounds, 35 pounds and 33 pounds respectively. The weight of a fifth dog is determined to be y pounds. If the average (arithmetic mean) weight of the first four dogs is the same as that of all five dogs what is the value of y?
Choices:
31
35
37
39
Answer: A
Question: The sum of three consecutive even numbers is 42. Find the middle number of the three?
Choices:
8
96
32
14
Answer: D
Question: 200 liters of a mixture contains milk and water in the ratio 4:1. If 20 liters of this mixture be replaced by 20 liters of milk, the ratio of milk to water in the new mixture would be?
Choices:
6:1
2:3
3:2
4:1
Answer: A
Question: A car dealership has 40 cars on the lot, 30% of which are silver. If the dealership receives a new shipment of 80 cars, 40% of which are not silver, what percentage of total number of cars are silver?
Choices:
37.5%
45%
47.5%
50%
Answer: D
Question: a, b, c, and d are positive integers where a is a factor of b and c is a factor of d. Which of the following is NOT necessarily an integer?
Choices:
(ac)/(bd)
(bcd)/a
d/c + b/a
(a + b)d/c
Answer: A
Question: Operation#is defined as adding a randomly selected two digit multiple of 14 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
Choices:
0%
20%
30%
40%
Answer: A
Question: An bus covers a certain distance at aspeed of 180 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
Choices:
567 km/h
779 km/h
723 km/h
540 km/h
Answer: D
Question: Kim finds a 4-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Choices:
7/5
3/5
8/15
1/2
Answer: B
Question: A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
Choices:
22C10 - 4
22C12 - 1
22C10 - 1
12C10 - 1
Answer: C
Question: A 750 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
875
360
770
380
Answer: A
Question: The average age of a group of 12 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
Choices:
30 years
34 years
32 years
None of these
Answer: B
Question: An design manager has 10patterns of chairs & 10patterns of tables. In how many ways can he make a pair of table & chair?
Choices:
40
80
90
100
Answer: D
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Choices:
23
24
26
27
Answer: C
Question: What will be the compound interest on a sum of Rs. 30,000 after 3 years at the rate of 12% p.a.?
Choices:
s.10123.21
s.10123.20
s.12147.84
s.10123.21
Answer: C
Question: Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 3 miles per hour and Walt's 3 miles per hour, how many miles had Lionel walked when he met Walt?
Choices:
16
20
27
28
Answer: C
Question: In a box, there are 12 red, 6 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
12/23
7/12
11/31
13/17
Answer: A
Question: A and B can do a piece of work in 18 days; Band C can do it in 24 days A and C can do it in 36 days. In how many days will A, Band C finish it together?
Choices:
16 days
3 days
5 days
9 days
Answer: A
Question: A, Band C can do a piece of work in 11 days, 20 days and 67 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Choices:
8.1 days
9.1 days
10 days
11 days
Answer: A
Question: After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
Choices:
0
12/212
11/12
11/13
Answer: A
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was
Choices:
2700
3000
3100
Nobe
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?
Choices:
704 m
278 m
298 m
286 m
Answer: A
Question: Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long T would it take Victor to complete 10 jobs without any supervision?
Choices:
52
60
70
92
Answer: B
Question: how many three digit number are thre in which if one digit is 3 then it must be follwed by 7 . repetetion is not allowed
Choices:
463
14
17
18
Answer: A
Question: There are two inlets and one outlet to a cistern. One of the inlets takes 5/2 hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern. Both of the inlets are turned on at 9:00 AM with the cistern completely empty, and at 10:00AM, the outlet is turned on and it takes 1 more hour to fill the cistern completely. How much time does the outlet working alone takes to empty the cistern when the cistern is full?
Choices:
2.5 hours
3 hours
3.5 hours
5 hours
Answer: D
Question: If 5% more is gained by selling an article for Rs. 420 than by selling it for Rs. 380, the cost of the article is?
Choices:
688
200
121
800
Answer: D
Question: In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many D different victory circles are possible?
Choices:
52
96
144
648
Answer: A
Question: A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
Choices:
69 km/hr
74 km/hr
61 km/hr
none of these
Answer: A
Question: Diana is painting statues. She has 1/2 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint?
Choices:
8
28
14
19
Answer: A
Question: If 50% of x is 25 less than 25% of 2500, then x is?
Choices:
2160
1200
8400
1210
Answer: B
Question: The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/2 of the diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal originally?
Choices:
36
25
None of these
Cannot be determined
Answer: A
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ?
Choices:
420 m
460 m
320 m
380 m
Answer: A
Question: Find the highest common factor of 36 and 84.
Choices:
6
12
18
19
Answer: B
Question: During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 60% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
Choices:
10%
20%
25%
30%
Answer: A
Question: Two dice are rolled. What is the probability the sum will be greater than 4?
Choices:
1/12.
5/36.
7/18.
1/5.
Answer: C
Question: What is the 8th term in this sequence?
1,2,3,10,18,28,51
Choices:
84
89
90
78
Answer: A
Question: Percentage of profit earned by selling a book for $2200 is equal to the percentage loss incurred by selling the same book for $1800. What price should the book be sold to make 25% profit?
Choices:
$2100
$2500
$2700
$3000
Answer: B
Question: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability M that 3 of Sam’s 4 funds grew by at least 10% over last year?
Choices:
6C3 * 4C1 / 10C4
6C3 * 4C1 / 10P4
6P3 * 4P1 / 10C4
6P3 * 4P1 / 10P4
Answer: A
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 18 seconds. What is the length of each train (in meters)?
Choices:
25
35
50
65
Answer: A
Question: If taxi fares were $3.00 for the first 1/5 mile and $0.20 for each 1/5 mile there after, then the taxi fare for a 4-mile ride was
Choices:
$6.80
$16.80
$6.85
$61.80
Answer: A
Question: 1/3 -2/5+1/2 - 5/6 + 1/5 + 1/4 - 9/20 =
Choices:
2/15
2/5
9/20
5/6
Answer: B
Question: How many ways are there to award a gold, silver, bronze and platinum medal to 10 contending teams?
Choices:
10!/(3!7!)
10!/3!
10!7
10 * 9 * 8 * 7
Answer: D
Question: How many numbers amongst the numbers 28 to 42 are there which are exactly divisible by 7 but not by 5?
Choices:
1
2
3
More than 3
Answer: B
Question: Ram and Shyam distribute some coins amongst them in the ratio 4:5. If Ram steals 3 coins from Shyam, the ratio of coins they have becomes 5:4. How many coins did they distribute initially?
Choices:
27
15
12
3
Answer: A
Question: The price of an item is discounted 4 percent on day 1 of a sale. On day 2, the item is discounted another 4 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
89.9%
87.7%
86.4%
83.3%
Answer: C
Question: What is the principal sum?
I.The sum amounts to Rs. 690 in 3 years at S.I.
II.The sum amounts to Rs. 750 in 5 years at S.I.
III.The rate of interest is 5% p.a.
Choices:
II and III only
I and II only
I and III only, or II and III only
Any two of the three
Answer: D
Question: A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 5,000 meters of fabric?
Choices:
$8520
$8710
$8930
$9640
Answer: D
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150
170
180
190
Answer: A
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
52.5
52.1
52.3
42.5
Answer: A
Question: A table is bought for Rs.400/- and sold at Rs.450/- find gain or loss percentage
Choices:
12.5%gain
10%gain
15%loss
20% loss
Answer: A
Question: Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams A could be selected from the eight candidates?
Choices:
120
210
1120
6720
Answer: C
Question: Ram works in a bakery. He made cookies that cost $1.75 and made $325. How many customer did he have?
Choices:
186 customers
250 customers
100customers
170 customers
Answer: A
Question: George went to a fruit market with certain amount of money. With this money he can buy either 40 oranges or 40 mangoes. He retains 10% of the money for taxi fare and buys 20 mangoes. How many oranges can he buy?
Choices:
25
20
16
12
Answer: A
Question: If e is a positive integer and 10^e – 74 in decimal notation has digits whose sum is 440, what is the value of e?
Choices:
44
45
46
50
Answer: D
Question: There is a 1 km long wire placed on some number of poles which are in equal distance. If the number of poles is reduced by 1 then the distance of wire between each poles
increases 1(2/3).How many poles are there initially.
Choices:
25
26
27
28
Answer: B
Question: Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 10, and 20 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
Choices:
7/4
9/5
11/6
13/7
Answer: B
Question: Julian owes his classmate Jenny 20 dollars. If he borrows 8 dollars how much will he owe her?
Choices:
12
-28
12
0
Answer: B
Question: Last year a certain bond price with a face value of 5000 yielded 10% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
Choices:
7692
5351
6000
6154
Answer: A
Question: A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1224. Find the number to be multiplied.
Choices:
132
134
136
138
Answer: C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89
77
55
12
Answer: A
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 5/7. What is the probability that they agree in stating the same fact?
Choices:
19/35
19/36
19/33
19/32
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
327
267
256
Answer: A
Question: In how many ways letters of the word HAPPY be arranged?
Choices:
60
120
25
40
Answer: A
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.23000, my total savings for the two-year is
Choices:
s. 8000
s. 9900
s. 9990
s. 10000
Answer: A
Question: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3 times as old as Robert. In which year was Richard 1.25 as old as Robert?
Choices:
1965
1970
2050
2060
Answer: D
Question: A is twice as good a work man as B and together they finish the work in 10 days. In how many days A alone can finish the work?
Choices:
15
77
92
61
Answer: A
Question: A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (Assume that the order of the colors in a pair does not matter.)
Choices:
5
6
12
24
Answer: A
Question: Three candidates contested an election and received 600, 7025 and 11620 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
60.3%
65%
90%
80%
Answer: A
Question: You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 6 baseball cards. How many baseball cards do you have at the end?
Choices:
12
13
14
10
Answer: D
Question: In how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons?
Choices:
90
20
21
23
Answer: A
Question: the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
Choices:
77 years
76 years
45 years
56 years
Answer: C
Question: Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 766.
Choices:
124 ,126, 128, 130
120 ,121 , 122 ,123
123 ,125 , 127 ,129
None of these
Answer: A
Question: Select a card from pack of 52 playing cards, 2cards are drawn together at random. Find the probability of both the cards being king ?
Choices:
2/121
1 by 221
2/213
3/412
Answer: B
Question: If Dev works alone he will take 20 more hours to complete a task than if he worked with Tina to complete the task. If Tina works alone, she will take 5 more hours to complete the complete the task, then if she worked with Dev to complete the task? What is the ratio of the time taken by Dev to that taken by Tina if each of them worked alone to complete the task?
Choices:
2 : 1
10 : 1
3 : 1
1 : 2
Answer: A
Question: 6x – 5y + 3z = 27
4x + 8y – 11z = 7
5x – 6y + 2z = 12
Given the equations above, x + y + z = ?
Choices:
12
13
14
15
Answer: D
Question: In how many different number of ways a combination of 3 persons can be selected from 4 boys and 2 girls.
Choices:
160
176
180
200
Answer: D
Question: What is the tens digit of 36^4?
Choices:
3
5
7
9
Answer: B
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
380m
350m
320m
150m
Answer: B
Question: The average of 10 numbers was calculated as 17. It is discovered later on that while calculating the average, one number, namely 56, was incorrectly read as 26. What is the correct average?
Choices:
20
21
22
23
Answer: A
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
200
205
210
220
Answer: C
Question: How many kilograms of sugar costing Rs.9 per kg must be mixed with 27 kg of sugar costing Rs.7 per Kg so that there may be a gain of 10% by selling the mixture at Rs.9.24 per Kg?
Choices:
42 Kg
54 Kg
63 Kg
None of these
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ?
Choices:
3:2
3:5
3:7
None of these
Answer: A
Question: If two numbers are in the ratio 5:2. If 10 is added to both of the numbers then the ratio becomes 5:4 then find the largest number?
Choices:
7
4
5
6
Answer: C
Question: The sale price Laptops listed for Rs.30000 after successive discount is 30% and 20% is?
Choices:
17600
18600
16800
16700
Answer: C
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m^2.
Choices:
15840
15642
15640
15849
Answer: A
Question: Excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
Choices:
17
15
10
12
Answer: C
Question: A cyclist traveled for two days. On the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 240 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
Choices:
10 mph
20 mph
30 mph
40 mph
Answer: A
Question: A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 1170, what will be B's share of the earnings?
Choices:
$390
$1080
$1170
$630
Answer: A
Question: What is the number of different committees of 4 women that can be selected from a group of 7 women?
Choices:
b) 35
c) 80
d) 120
e) 210
Answer: A
Question: If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 54?
Choices:
12
13
14
15
Answer: B
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
Choices:
21
30
9
7
Answer: C
Question: Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 2-cent stamps she could have bought ?
Choices:
10
7.5
20
25
Answer: B
Question: A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
Choices:
7.5%.
9.2%
10.5%.
11%.
Answer: A
Question: A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr ?
Choices:
26.67
40
66.67
None
Answer: B
Question: 48% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 38% of respondents did not use M. 32% used N. What percent of respondents used only N?
Choices:
11%
20%
18.5%
17.5%
Answer: A
Question: A farmer needs to plant seeds on a plot of land. She will plant 300 seeds in a rectangle in the field. The rectangle will have E seeds in a row and F seeds in a column. If the number of seeds in a row is no less than 10 and no more than 30, how many different combinations of rectangular shapes are possible?
Choices:
6
7
8
9
Answer: A
Question: How many multiples of 7 are there between 14 and 252 ?
Choices:
33
59
66
80
Answer: A
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
125 m
761 m
143 m
132 m
Answer: A
Question: If n=4p where p is a prime number greater than 2, how many different positive even divisors does n have, WITHOUT N VALUE?
Choices:
2
3
4
5
Answer: B
Question: Ritesh and Co. generated revenue of Rs. 1,600 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
Choices:
19.53%
25%
50%
None of these
Answer: A
Question: (112 x 54) = ?
Choices:
70000
72000
73000
74000
Answer: A
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.6
1.3
1.5
1.1
Answer: C
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 2/7. What is the probability that they agree in stating the same fact?
Choices:
16/35
16/39
16/33
16/31
Answer: A
Question: p:q = 7:6 , q:r = 4 : 7 , p:q:r = ?
Choices:
28 : 24 : 42
28 : 24 : 52
28 : 24 : 41
28 : 24 : 48
Answer: A
Question: Two partners (Moses and Norris) invested Rs 5000 and Rs.12000 in a business. Moses runs the business while Norris is a sleeping partner in the business. Moses receives 4% of the profit for managing the business the rest is divided in proportion of their capitals. Out of a total profit of Rs.5500, how much did Moses receive?
Choices:
1772.95
1877.6
1937.6
1857.6
Answer: A
Question: A person buys an article at $500. At what price should he sell the article so as to make a profit of 20%?
Choices:
449
600
740
460
Answer: B
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?
Choices:
40 years
20
50
25
Answer: A
Question: A man divides $6800 Among 4 Sons, 4 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
Choices:
B)$1000
C)$800
D)$1200
E)$400
Answer: B
Question: A , B , and C started a partnership business by investing $45,000 , $63,000 , and $72,000 respectively. At the end of the year, the profit was distributed among them. If C's share of profit is $16,000, what is the total profit?
Choices:
$32,000
$36,000
$40,000
$44,000
Answer: C
Question: A and B finish the job in 15 days.while A,B and C can finish it in 11 days . C alone will finish the job in
Choices:
41.25 days
60.25 days
71.25 days
51.25 days
Answer: A
Question: Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $2 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Choices:
9n + 1
9n + 2
9n + 3
9n + 4
Answer: A
Question: Which of the following is satisfied with |x-4|+|x-3|<7?
Choices:
0<x<7
2.5<x<4.5
2.5<x<4
3<x<4
Answer: A
Question: A certain restaurant offers 5 different salads, 4 different main courses, and 7 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible?
Choices:
340
380
420
460
Answer: C
Question: find last digits of (1023^3923)+(3081^3921)
Choices:
8
10
11
12
Answer: A
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Kilometre
3 Km
4 Km
4 1/3 Km
Answer: A
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 6 inches wide on each side, the total area would have been (M + 200) square inches. What is the perimeter of the photograph, in inches?
Choices:
12
16
20
24
Answer: A
Question: Find the one which does not belong to that group ?
Choices:
28
36
64
4
Answer: B
Question: The average of 25 results is 18. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
Choices:
75
69
78
45
Answer: C
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.
Choices:
0.5904
0.6234
0.5834
0.2952
Answer: A
Question: Wendy begins sanding a kitchen floor by herself and works for 8 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
Choices:
544/49 hours
20/3 hours
80/9 hours
10 hours
Answer: A
Question: In what time a sum of money double itself at 6% per annum simple interest?
Choices:
16 2/3%
33 7/3%
32 1/3%
23 1/3%
Answer: A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
Choices:
430
435
431
433
Answer: A
Question: Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability that Jane will be on the same committee as Albert?
Choices:
20%
33%
40%
50%
Answer: C
Question: 6 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
Choices:
1:1
2:1
2:3
None of these
Answer: A
Question: What is the least integer greater than –3+0.5?
Choices:
–2
0
1
2
Answer: A
Question: A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 280 pounds of the mixture ?
Choices:
200
40
28
20
Answer: A
Question: If A speaks the truth 65% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
Choices:
0.39
0.41
0.482
0.411
Answer: A
Question: The average (arithmetic mean)Q of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true?
I. x is an integer
II. (x−0.5) is an integer.
III. 2x is an odd integer.
Choices:
II only
III only
II and III only
None of the above
Answer: D
Question: A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 25%, what should be the sale price of the mixed tea?
Choices:
22
20
19.2
None of these
Answer: B
Question: During a certain two-week period, 58 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Choices:
9A
8 2/3A
11A
12A
Answer: B
Question: If a 3-member subcommittee is to be formed from a certain 8-member committee, how many different such subcommittee are possible?
Choices:
18
40
108
216
Answer: B
Question: For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+4 and 7*+7, inclusive ?
Choices:
0
2
3
4
Answer: A
Question: There are 5 burglars and once went to a bakery to rob it obviously. The first guy ate 1/2 of the total bread and 1/2 of the bread. The second guy ate 1/2 of the remaining and 1/2 of the bread. The third guy ,fourth guy and fifth guy did the same. After fifth guy there is no bread left out. How many bread are there?
Choices:
31
32
33
34
Answer: A
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5 km
2/5 km
4/6 km
3/5 km
Answer: A
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After 6months, C joined them with Rs.20,000. Whatwill be B's share in total profit of Rs.21,000 earned at the end of 2years from the startingof the business?
Choices:
s. 5,500
s. 5,700
s. 6,300
s. 7,500
Answer: C
Question: In a group of dogs and people, the number of legs was 28 more than twice the number of
heads. How many dogs were there? [Assume none of the people or dogs is missing a leg.]
Choices:
7
12
14
28
Answer: C
Question: what smallest no. should subtracted from 5000,so that remainder completely divisible from 19?
Choices:
3
5
6
9
Answer: A
Question: At what price must an Book costing $47.50 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
55.5
62.5
82.5
65.9
Answer: D
Question: A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 60 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne?
Choices:
1 hour 20 minutes
2 hours 30 minutes
1 hour 40 minutes
2 hours 10 minutes
Answer: A
Question: If a mixture is 1⁄7 alcohol by volume and 2⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
Choices:
3/2
1/2
5/2
7/2
Answer: B
Question: If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean)R of x, x^2, x^3, x^4 and x^5 is equal to which of the following?
Choices:
13x
14x
16x
20x
Answer: C
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
57
63
65
67
Answer: B
Question: John invests $x at the semi-annual constant compounded rate of 2 percent and also does $5,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
Choices:
10100.5
20000
15000
19000
Answer: A
Question: An design manager has 10patterns of chairs & 8patterns of tables. In how many ways can he make a pair of table & chair?
Choices:
40
80
90
100
Answer: B
Question: The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
Choices:
60
20
10
50
Answer: A
Question: If 9 engines consume 24 metric tonnes of coal, when each is working 8 hoursa day, how much coal will be required for 8 engines, each running 13 hours a day, it is being given that 3 engines of former type consume as much as 4 engines of latter type?
Choices:
25
26
28
30
Answer: B
Question: Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Choices:
1/20
13/102
11/20
2/20
Answer: B
Question: Sam invested Rs. 15000 @ 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?
Choices:
Rs. 16137.11
Rs. 16537.50
Rs. 16237.52
Rs. 16537.11
Answer: B
Question: What is the greater of the two numbers whose product is 2688, given that the sum of the two numbers exceeds their difference by 64?
Choices:
A)84
C)110
D)72
of these
Answer: A
Question: For any numbers a and b, a#b = ab(6 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
Choices:
5,4
5,4,3
5,4,3,2,1
5,4,3,2
Answer: C
Question: If each side of a square is increased by 25%, find the percentage change in its area?
Choices:
56%
56.25%
58.25%
59%
Answer: B
Question: Rs.600 amounts to Rs.900 in 3 years at simple interest. If the interest is increased by 4%, it would amount to how much?
Choices:
672
258
856
653
Answer: A
Question: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,800. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?
Choices:
1,100
1,900
2,550
3,400
Answer: B
Question: The average (arithmetic mean) monthly income of four workers is $2,000. After one worker’s income increases by 25 percent the new average income is $2,250. What was the original income of the worker whose monthly income increased?
Choices:
$2,000
$4,000
$5,000
$6,000
Answer: B
Question: Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 12 pounds?
Choices:
13
14
15
16
Answer: B
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
23
20
28
12
Answer: B
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 40 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
Choices:
4
8
9
32
Answer: C
Question: There are 15 balls in a box: 8 balls are green, 4 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
Choices:
4/13
3/13
5/13
6/13
Answer: B
Question: A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1.5% cash on their first $5000 of purchase, 2.5% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.5% on their total annual charges made on the credit card, then what was the customer's annual charge?
Choices:
$20,000
$22,500
$25,000
$27,500
Answer: A
Question: If a = 1 and b = -2, then (2a^2 + b)(q + y) + (a + b)(q - y) =
Choices:
2x
y - q
x - y
x + y
Answer: B
Question: f a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
Choices:
4/10
4/18
4/13
4/11
Answer: C
Question: In a series of seven football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 7 draws in the series?
Choices:
125/864
1/25
1/16384
1/5
Answer: C
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration R of the acid in the mixture?
Choices:
1/3
1/4
1/6
1/5
Answer: C
Question: P can do the work in 10 days and Q can do the same work in 12 days. If they work together for 4 days, what is the fraction of work that is left?
Choices:
1/5
2/5
4/15
7/15
Answer: C
Question: A fort had provision of food for 150 men for 60 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Choices:
37 1/4
42
54
60
Answer: D
Question: m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 9) both lie on the line defined by the equation x = (y/3) - (2/5), what is the value of p?
Choices:
2
3
4
5
Answer: B
Question: In a group of 25 factory workers, 16 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes.
Choices:
9
8
7
4
Answer: B
Question: Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
59 m
80 m
82 m
84 m
Answer: A
Question: For the positive numbers, n, n + 1, n + 2, n + 7, and n +10, the mean is how much greater than the median?
Choices:
1
n+l
2
n+3
Answer: C
Question: A Cistern is filled by pipe A in 9 hrs and the full Cistern can be leaked out by an exhaust pipe B in 10 hrs. If both the pipes are opened in what time the Cistern is full?
Choices:
90
1/10
1/90
60
Answer: A
Question: By selling 14 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
26
25
23
21
Answer: D
Question: A card is drawn at random from a deck of cards. Find the probability of getting the 3 of diamond?
Choices:
1/52
2/37
1/14
1/27
Answer: A
Question: The average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
Choices:
30
99
28
17
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
159
155
112
150
Answer: D
Question: AB
+BA
___
161
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
Choices:
13
9
11
14
Answer: A
Question: How many numbers between 0 and 1270 have a prime tens digit and a prime units digit?
Choices:
192
198
204
210
Answer: C
Question: In an office, totally there are 1800 employees and 60% of the total employees are males. 30% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
Choices:
756
600
760
None of these
Answer: A
Question: A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 5 days before completion of project, then in how many days the project will be completed?
Choices:
15
20
21
22
Answer: A
Question: Charles walks over a railway-bridge. At the moment that he is just ten meters away from the middle of the bridge, he hears a train coming from behind. At that moment, the train, which travels at a speed of 90 km/h, is exactly as far away from the bridge as the bridge measures in length. Without hesitation, Charles rushes straight towards the train to get off the bridge. In this way, he misses the train by just four meters! If Charles had rushed exactly as fast in the other direction, the train would have hit him eight meters before the end of the bridge.
What is the length of the railway-bridge?
Choices:
44
73
52
48
Answer: A
Question: The averge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42. Then find the average for the last four matches?
Choices:
33.5
34.25
35
36
Answer: B
Question: When positive integer q is divided by 13, the remainder is 2. When n is divided by 8, the remainder is 5. How many such values are less than 180?
Choices:
1
2
3
4
Answer: A
Question: If Rs.20 is the True Discount on Rs260due after a certain time.What wil be true discount on the same sum due after half of the former time, the rate of interest being the same?
Choices:
Rs.10.14
Rs.10.40
Rs.9.14
None of these
Answer: B
Question: Gasoline varies in cost from $0.94 to $1.14 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?
Choices:
$15.30
$15.40
$15.50
$15.60
Answer: B
Question: -20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 6 greater than the preceding term. Which of the following could not be a term in the sequence?
Choices:
200
444
660
780
Answer: A
Question: A man swims downstream 70 km and upstream 30 km taking 10 hours each time; what is the speed of the current?
Choices:
4
2
6
8
Answer: B
Question: A mixture contains milk and water in the ratio 3:2. On adding 10 liters of water, the ratio of milk to water becomes 2:3. Total quantity of milk & water before adding water to it?
Choices:
40
20
10
25
Answer: B
Question: The average of first 50 non-zero positive integers is
Choices:
25.5
22
25
27
Answer: A
Question: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $4,600. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?
Choices:
1,100
1,700
2,550
2,300
Answer: D
Question: Triangle STV has sides ST = TV = 5, and SV = 6. What is the area?
Choices:
10
12
14
16
Answer: B
Question: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. Find the time required by the first pipe to fill the tank ?
Choices:
15 hours
17 hours
18 hours
19 hours
Answer: A
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is
Choices:
17/25
17/29
17/27
17/21
Answer: A
Question: Ages of two persons differ by 14 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
Choices:
13,27
16,32
18,34
19,34
Answer: A
Question: A foreign language club at Washington Middle School consists of n students, 2/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 3/4 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?
Choices:
n/3
n/5
2n/15
n/10
Answer: D
Question: A semicircular cubicle has a radius of 14. What is the approximate perimeter of the cubicle?
Choices:
86
25
72
35
Answer: C
Question: Jack went on a diet 6 months ago when he weighed 222 pounds. If he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 180 pounds?
Choices:
3,5
4
4,5
5
Answer: C
Question: Seven different books (A, B, C, D,E,F,G and H) are to be arranged on a shelf. Books A and B are to be arranged first and second starting from the right of the shelf. The number of different orders in which books C, D,E,F and G may be arranged is
Choices:
12!
5!
25!
18!
Answer: B
Question: If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio Q of the resistors’ sum of A and C to the resistors’ sum of A and B?
Choices:
2(R1+R2):(R1+2R2)
(2R1+R2):(R1+2R2)
2(R1+R2):(2R1+R2)
2(R1-R2):(R1+2R2)
Answer: A
Question: What is the median from the below series
5, 8, 11, 6, 10, 4, 18, 16, 13, 12 and 14
Choices:
11
12
13
10
Answer: A
Question: A and B invests Rs.8000 and Rs.9000 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?
Choices:
32:49
32:45
32:42
32:41
Answer: B
Question: Of the 800 employees of Company X, 80 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 50 percent ?
Choices:
160
112
480
56
Answer: C
Question: boring a well 60 m depth, the cost is
Rs.4/– for the first meter. The cost of each successive meter
increases by Rs.3/–. What is the cost of boring the entire well?
Choices:
5550
5650
5780
5980
Answer: A
Question: 7 people (A, B, C, D, E, F and G) go to a movie and sit next to each other in 7 adjacent seats in the front row of the theater.
How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.
Choices:
7!/3
7!/4
7!/5
7!/6
Answer: D
Question: Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 14 years?
Choices:
34
40
50
60
Answer: A
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what W percent of the list price is the lowest possible sale price?
Choices:
25
30
40
50
Answer: C
Question: The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
Choices:
10528
10560
10529
10561
Answer: B
Question: After 114 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Choices:
4 liters
3 liters
2 liters
6 liters
Answer: D
Question: By selling a pen for Rs.15, a man loses one sixteenth of what it costs him.The cost price of the pen is
Choices:
Rs.16
Rs.20
Rs.21
None
Answer: A
Question: A and B invests Rs.10000 each, A investing for 6 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.4500, find their shares?
Choices:
4500,3000
3500,3000
1500,3000
2500,3000
Answer: C
Question: Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 1w widgets?
Choices:
6
8
10
12
Answer: A
Question: 1200 boys and 800 girls are examined in a test; 4% of the boys and 30% of the girls pass. The percentage of the total who failed is ?
Choices:
B)52.4%
C)62.8%
D)75.4%
E)69.1%
Answer: B
Question: Q and R are two-digit positive integers that have the same digits but in reverse order. If the positive difference between Q and R is less than 70, what is the greatest possible value of Q minus R?
Choices:
63
65
66
67
Answer: A