antoine-444/aqua_rat_dataset huggingface dataset:
Question: On a certain transatlantic crossing, 15 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?
Choices:
40%
37.5%
60%
66 2/3%
Answer: B
Question: Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
Choices:
3.6
2.6
5.0
5.5
Answer: A
Question: If n is an integer, what is the greatest possible value for n that would still make the following statement true: 11*10^n < 1/10 ?
Choices:
–3
–2
–1
0
Answer: A
Question: The area of a circular field is 17.56 hectares. Find the cost of fencing it at the rate of Rs. 3 per metre approximately
Choices:
4457
4235
4547
4675
Answer: A
Question: The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
Choices:
5120
5130
5140
5160
Answer: A
Question: Statement: "In order to bring punctuality in our office, we must provide conveyance allowance to our employees."
Assumptions:
1)Conveyance allowance will not help in bringing punctuality.
2)Discipline and reward should always go hand in hand.
Choices:
Only assumption II is implicit
Either I or II is implicit
Neither I nor II is implicit
Both I and II are implicit
Answer: A
Question: Steel company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks?
Choices:
64
256
576
4096
Answer: B
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 18 more than n. What is y in terms of x ?
Choices:
18 - x
x + 18
x + 2
x - 2
Answer: C
Question: The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 15, how many more dollars, in terms of x, will it cost per person?
Choices:
x/16
x/40
3x/40
3x/80
Answer: C
Question: Reb normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Reb averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
Choices:
105
95
75
45
Answer: C
Question: How many pieces of 0.40 meteres can be cut from a rod 47.5 meteres long
Choices:
118
120
125
70
Answer: A
Question: The average age of a class of 20 students is 18 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
Choices:
40 years
42 years
43 years
44 years
Answer: A
Question: If 3x=9y=z, what is x+y, in terms of z?
Choices:
2z
z/3
3z/5
4z/9
Answer: D
Question: Machine A and machine B are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
Choices:
6
60
100
110
Answer: A
Question: If a book is sold at 8% profit instead of 8% loss, it would have brought Rs 12 more. Find out the cost price of the book
Choices:
Rs 75
Rs 60
Rs 70
Rs 80
Answer: A
Question: Two trains 140 m and 170 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
11.16 sec
27.7 sec
10.8 sec
17.8 sec
Answer: A
Question: A and B together can do a work In 2 days. A alone can do it in 12 days. What time B will take to do the work alone?
Choices:
2.4 days
1.2 days
1.0 days
5 days
Answer: A
Question: In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x-y?
Choices:
3
4
5
7
Answer: C
Question: A computer store offers employees a 15% discount off the retail price. If the store purchased a computer from the manufacturer for $500 dollars and marked up the price 15% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (15% off retail price) as opposed to the final retail price.
Choices:
54.5
55.5
57.5
59.5
Answer: C
Question: A shop owner sells 40mtr of cloth and gains SP of 10 mtrs. Find the gain %?
Choices:
33.33%
50%
66.67%
70%
Answer: A
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:
66
20
21
24
Answer: B
Question: Solve the given two equations and find the inequality of X and Y. (a) X^2- 365 = 364 and (b) y- (324) ^(1/2) = (81)^(1/2)
Choices:
If x>=y
If x<y
If x<=y
x=y or relationship cannot be established
Answer: D
Question: In a group of 28 junior high school students, 5 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?
Choices:
13
9
12
10
Answer: A
Question: A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 15 days before the project is completed, in how many days total will the project be completed?
Choices:
21
24
27
30
Answer: A
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 171 games will be played during the tournament. What is the number of participants?
Choices:
16
17
18
19
Answer: D
Question: Henry gives a certain amount to his friend at 12% p.a. simple interest. If he wants to get thrice the amount given how many years does it take?
Choices:
16 years 8 months
10 years 7 months 4 days
15 years
20 years
Answer: A
Question: A good train and a passenger train are running on parallel tracks in the same direction. The driver of the goods train observes that the passenger train coming from behind overtakes and crosses his train completely in 60 sec. Whereas a passenger on the passenger train marks that he crosses the goods train in 40 sec. If the speeds of the trains be in the ratio 1:2. Find the ratio of their lengths.
Choices:
2:1
5:2
1:1
None of these
Answer: A
Question: Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 5 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
Choices:
30
40
70
60
Answer: A
Question: In what ratio must water be mixed with milk to gain 16(2/3)% on selling the mixture at cost price?
Choices:
1 : 6
2 : 3
4 : 3
3 : 2
Answer: A
Question: What will be the difference between simple interest and compound interest @ 10% per annum on a sum of Rs. 1000 after 3 years?
Choices:
77
26
19
31
Answer: D
Question: 3 candidates in an election and received 1256, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Choices:
56.7%
57%
60%
62%
Answer: A
Question: What is the smallest number which when increased by 3 is divisible by 9, 70, 25 and 21?
Choices:
3147
3387
3567
3797
Answer: A
Question: What is the difference between the C.I. on Rs. 4000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Choices:
s.2.08
s.1.63
s.2.83
s.2.42
Answer: B
Question: Of the five-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
36440
72440
181440
216440
Answer: C
Question: Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum E of their ages will be 51, how old is Stephanie ?
Choices:
10
14
20
24
Answer: A
Question: Two years ago, John put $5,000 into a savings account. At the end of the first year, his account had accrued $500 in interest bringing his total balance to $5,500. The next year, his account balance increased by 10%. At the end of the two years, by what percent has John's account balance increased from his initial deposit of $5,000 ?
Choices:
21%
20%
22%
25%
Answer: A
Question: if 1 is absent rest of people can be divided into 6 equal parts if 2 is absent rest of them are divided into 7 equal parts ,how many students are present
Choices:
35
36
37
38
Answer: C
Question: If the product of 12 integers is negative, at most how many of the integers can be negative?
Choices:
3
4
5
11
Answer: D
Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Choices:
6 2/3%
6 9/3%
6 2/3%
6 2/1%
Answer: A
Question: The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
Choices:
37.5%
77.5%
47.5%
27.5%
Answer: A
Question: A certain ornaments was marked down 10% the first week and another 30% the next week. What percent of the regular price was the final cost of the ornaments after the two markdowns?
Choices:
36%
40%
63%
64%
Answer: C
Question: A number x is 4 times another number y. The percentage that y is less than x is
Choices:
75%
80%
11%
1%
Answer: A
Question: Two trains A and B are 100 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.
Choices:
6 s
4 s
8 s
12 s
Answer: A
Question: What is x if 2x - y = 14 and y = 2?
Choices:
8
10
12
14
Answer: A
Question: The number of positive integers valued pairs (x, y) satisfying 4x -17y = 1 and x <= 1000 (x is less than or equal to 1000) is
Choices:
fifty nine
55
58
60
Answer: A
Question: A trader marks his books 40% more than the cost price. If he allows 40% discount, then find his gain or loss percent?
Choices:
16% loss
4% loss
No profit No loss
None of these
Answer: A
Question: In the x- y plane, there are 4 points (0,0), (0,4), (8,4), and (8,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
Choices:
1/3
2/3
1/4
2/5
Answer: C
Question: A man can row his boat with the stream at 10 km/h and against the stream in 6 km/h. The man's rate is?
Choices:
2 kmph
98 kmph
6 kmph
4 kmph
Answer: A
Question: The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Choices:
44
42
40
38
Answer: B
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Choices:
384 cm2
278 cm2
286 cm2
276 cm2
Answer: A
Question: 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:
Choices:
23 cm
25 cm
30 cm
32 cm
Answer: B
Question: Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1 screws and 5 nails?
Choices:
b. 5/2
c. 2
d. 3/2
e. 5/4
Answer: A
Question: A grocery shop has a sale of Rs. 6535, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
4184
4012
4891
5291
Answer: C
Question: A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent P of the cost would the gross profit on the item have been if it had been sold without the discount?
Choices:
40%
50%
60%
75%
Answer: B
Question: A florist has 3 azaleas, 4 buttercups, and 5 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?
Choices:
31/66
47/66
87/132
95/132
Answer: B
Question: A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 350 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
Choices:
90
120
130
220
Answer: A
Question: How many odd numbers between 10 and 1500 are the squares of integers?
Choices:
14
17
20
23
Answer: B
Question: X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
Choices:
70
80
60
20
Answer: C
Question: In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 50% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Choices:
80
105
120
210
Answer: A
Question: John purchased a paints and a buckets for Rs. 14000 &Rs. 9500 respectively. He sold the paints at a loss of 7% and the buckets at a profit of 12%. Overall how much he make a profit.
Choices:
456
187
635
160
Answer: D
Question: 1=5,2=25,3=253,4=150,5=225 then 150=?
Choices:
255
4
445
235
Answer: B
Question: If f(x) = 2x^2 + y, and f(2) = 50, what is the value of f(5)?
Choices:
60
92
50
25
Answer: B
Question: when a no. divided by 406 it gives 115 as a remainder. when it divided by 29 what is the remainder.???
Choices:
28
29
2
5
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 8/3%
19 2/3%
16 2/3%
11 2/3%
Answer: C
Question: A volunteer organization is recruiting new members. In the fall they manage to increase their number by 5%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Choices:
15.15%
14.95%
13.33%
12.52%
Answer: B
Question: If the average (arithmetic mean) of x and y is 40, and z – x = 60, what is the average of y and z?
Choices:
50
65
70
140
Answer: C
Question: The product of all the prime numbers less than 28 is closest to which of the following powers of 10?
Choices:
b) 10^8
c) 10^7
d) 10^6
e) 10^8*2.23
Answer: D
Question: Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $600 as interest. What was the annual rate of interest?
Choices:
10%
18%
15%
20%
Answer: B
Question: How many seconds will a 600 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:
36 sec
27 sec
28 sec
29 sec
Answer: A
Question: The average expenditure of a labourer for 6 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i
Choices:
72
75
78
80
Answer: C
Question: Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 4 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
Choices:
28 km
65 km
18 km
16 km
Answer: A
Question: The sum of ages of 5 children born 1 year different each is 50 yrs. What is the age of the Elder child?
Choices:
9
16
17
18
Answer: A
Question: Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 4 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf?
Choices:
54
58
61
63
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Choices:
432
288
355
478
Answer: A
Question: The area of the rectangle ABCD is 30. The points E and F are on the diagonal AC as shown,
and 2(AE + FC) = 3 EF. What is the area of △BEF ?
Choices:
6
9
10
cannot be determined
Answer: A
Question: In a shop 30% of the articles are sold at a profit of 40% and the remaining at a loss of 20%.what is the overall profit/loss?
Choices:
2% loss
15% profit
3% profit
no profit, no loss
Answer: A
Question: How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=30/51 ?
Choices:
3
2
1
0
Answer: C
Question: When positive integer x is divided by 10, the quotient is y and the remainder is 3. When 2x is divided by 7, the quotient is 3y and the remainder is 1. What is the value of 11y – x?
Choices:
2
3
-3
4
Answer: A
Question: A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
7
6
8
1
Answer: B
Question: Two wheels are connected via a conveyor belt. The larger wheel has a 40cm diameter and the smaller wheel has a 35cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?
Choices:
75r
48r
24r
68.6r
Answer: D
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 624 is required to paint the floor at the rate of Rs. 4 per sq m, then what would be the length of the floor?
Choices:
21.6m.
21.1m.
20.6m.
22.5m.
Answer: A
Question: In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 32 fail inspection?
Choices:
192
200
128
264
Answer: C
Question: A set S = {x, -8, -7, -6, 6, 8, 9, y} with elements arranged in increasing order. If the median and the mean of the set are the same, what is the value of |x|-|y|?
Choices:
0
2
-1
Cannot be determined
Answer: B
Question: A part of certain sum of money is invested at 6% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:9
4:3
5:2
4:2
Answer: C
Question: Look at this series: 1.2, 1.9, 2.6, 3.3, ... What number should come next?
Choices:
4
4.7
5
5.6
Answer: A
Question: Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 2 flavors from 6 flavors. In how many ways we can select?
Choices:
15
20
30
40
Answer: C
Question: Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity R for the round trip?
Choices:
48 miles per hour
50 miles per hour
53 1/3 miles per hour
68 miles per hour
Answer: A
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
33 8/3%
33 1/3%
36 1/3%
31 1/3%
Answer: B
Question: 5 OUT OF 2250 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
Choices:
2/9
1/45
2/45
NONE OF THESE
Answer: A
Question: What is the area of a triangle with the following vertices L(1, 3), M(4, 1), and N(3, 5) ?
Choices:
4
5
6
7
Answer: B
Question: Calculate the share of profit made by 2 business partners, who invested $1500 and $3500 respectively in a business if the profit made is $2500.
Choices:
$750,$1750
$750,$1200
$753,$1400
$950,$1400
Answer: A
Question: A towel, when bleached, lost 30% of its length and 20% of its breadth. What is the percentage decrease in area?
Choices:
30 %
44%
54%
64%
Answer: B
Question: Find the perimeter and area of a square of side 11 cm.
Choices:
21 cm²
22 cm²
113 cm²
121 cm²
Answer: D
Question: Some of 50%-intensity red paint is replaced with 20% solution of red paint such that the new paint intensity is 30%. What fraction of the original paint was replaced?
Choices:
1/5
2/3
3/4
4/5
Answer: B
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
9
7
5
2
Answer: A
Question: 8 kilograms of oranges contained 98% of water. If the next day the concentration of water decreased by 2%, what was the new weight of the oranges, in kilograms?
Choices:
4.8
4.5
4
0.2
Answer: C
Question: It takes 7 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 7 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 5:00 pm?
Choices:
6:00 pm
6:20 pm
6:40 pm
7:00 pm
Answer: C
Question: 8 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Choices:
131
115
84
45
Answer: C
Question: The sum of five consecutive odd numbers of set p is 435. What is the sum of five consecutive numbers of another set q. Whose largest number is 45 more than the largest number of set p?
Choices:
670
730
770
None of these
Answer: A
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Choices:
1/7
1/6
1/2
1/1
Answer: B
Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 1540 in all from both of them as interest. The rate of interest per annum is?
Choices:
7%
74%
10%
45%
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'COMPUTE' is ?
Choices:
5039
5041
5554
132
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 78000, then the share of B is?
Choices:
s.36000
s.36003
s.36029
s.24029
Answer: A
Question: x - y =2
2x = 2y + 4
The system of equations above has how many solutions?
Choices:
Exactly one
Exactly two
Infinitely many
Exactly three
Answer: C
Question: In a ratio which is equal to 7:9, if the antecedent is 42, then the consequent is?
Choices:
54
64
51
45
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m
09 a.m
08 a.m
06 a.m
Answer: A
Question: A triangle has a perimeter 15. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Choices:
6
8
9
10
Answer: A
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 2 days, then the fraction of the work that is left is :
Choices:
5
23/30
23/12
2
Answer: B
Question: A committee of three people is to be chosen from five married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
24
48
64
80
Answer: D
Question: How many 4 digits number contain the number 2.
Choices:
3172
3174
3168
3167
Answer: C
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
59%
57%
64%
69%
Answer: B
Question: Given positive integer x, which of the following CANNOT be evenly divisible by x?
Choices:
x + 2
2x - 1/2
3x − 1
x + 6
Answer: B
Question: If an object travels 80 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Choices:
24.24
27.27
30.35
33.33
Answer: B
Question: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
4/7
2/7
7/7
4/3
Answer: A
Question: Consider a quarter of a circle of radius 49. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Choices:
49*(sqr2 -1)
40*(sqr7 - 1)
12* (sqr7 -1)
None of these
Answer: A
Question: An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability G that the sum of the 2 numbers on the balls will be even?
Choices:
37.5%
50%
62.5%
75%
Answer: B
Question: Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. If he spent a total of $17.20, how many discounted tickets did he buy?
Choices:
4
5
6
7
Answer: D
Question: A and B can do a piece of work in 2 days. With the help of C they finish the work in 1 days. C alone can do that piece of work in?
Choices:
4 DAYS
3 DAYS
1 DAY
2 DAYS
Answer: D
Question: A can do a piece of work in 4 hours; 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
25 hours
Answer: B
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum Q of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
Q=4x
Q=5x/3
Q=3x/2
3x/5
Answer: A
Question: Find the area of a parallelogram with base 21 cm and height 11 cm?
Choices:
231 cm2
672 cm2
267 cm2
286 cm2
Answer: A
Question: A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?
Choices:
104
108
112
None of these
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 500 grms instead of a kg, what is the gain percent?
A. 11%
Choices:
11 1/8%
11 9/9%
100%
11 1/5%
Answer: C
Question: Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Choices:
540
542
829
279
Answer: A
Question: If x : y = 3 : 5, find the value of (2x + 4y) : (4x – y)
Choices:
22:7
26:7
20:7
26:5
Answer: B
Question: The average marks of 14 students was calculated as 71. But, it was discovered later that the marks of one student was taken as 42 instead of 56 and the marks of another student was wrongly taken as 74 while it was actually 32. If these corrections are now made then what is the average of the 14 students?
Choices:
68
69
80
71
Answer: B
Question: If s is the product of the integers from 40 to 50 inclusive, and if t is the product of the integers from 40 to 51 inclusive, what is 1/s + 1/t in terms of t?
Choices:
42/t
52/t
62/t
72/t
Answer: B
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more .on arriving at the third station it is found to have 248 passengers. Find the no of passengers in the beginning?
Choices:
288
248
278
238
Answer: A
Question: 19/6 = 4/27. Which method did you use to determine whether this proportion is true or false?
Choices:
24
88
26
91
Answer: A
Question: Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 253 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. How many balls made up the triangle?
Choices:
903
2878
1210
1560
Answer: A
Question: 2 gears one with 12 teeth and other one with 14 teeth are engaged with each other. One teeth in smaller and one tooth in bigger are marked and initially those 2 marked teeth are in contact with each other. After how many rotations of the smaller gear with the marked teeth in the other gear will again come into contact for the first time?
Choices:
6
8
9
2
Answer: A
Question: A total of m different points are selected on a particular line, and a total of n different points are selected on another line parallel to the first, where each of m and n is greater than 1. In how many different ways can a triangle be made with its vertices at three of the selected points?
Choices:
mn(m+n-2)
mn(m+n−2)/2
(m+n)(m+n−1)(m+n−2)/6
(m+n)!/m!n!
Answer: A
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
Choices:
25/42
25/48
25/18
25/29
Answer: A
Question: At what rate percent on simple interest will Rs.1750 amount to Rs.2000 in 5 years?
Choices:
3 6/7 %
2 6/7 %
5 %
6 %
Answer: B
Question: How many times the keys of a writter haveto be pressedin order to write first 400 counting no.'s?
Choices:
1000
1092 times
1100
1200
Answer: B
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
1/3
1/4
1/5
2/5
Answer: A
Question: The average age of 25 students of a class is 25 years. Out of these, the average age of 10 students is 22 years and that of the other 14 students is 28 years. The age of the 25th student is?
Choices:
15
13
11
9
Answer: B
Question: A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 95, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Choices:
75
76
77
81
Answer: D
Question: A train 280 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
15
7
9
5
Answer: A
Question: How many integers between 324,805 and 458,705 have tens digit 1 and units digit 3?
Choices:
1,349
10,040
1,354
10,400
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. In how much time will the trains cross each other?
Choices:
10
12
13
14
Answer: A
Question: Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.
Choices:
236
367
365
386
Answer: D
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4
3
2
6
Answer: A
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:
97 hrs
35 hrs
16 hrs
12 hrs
Answer: B
Question: If a positive even number n is not divisible by 3 or 4, then the product (n + 6)(n + 8)(n + 10) must be divisible by which of the following?
I. 24
II. 32
III. 96
Choices:
I only
II only
I and II only
I, II, and III
Answer: D
Question: Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/10 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
Choices:
60
108
144
300
Answer: D
Question: Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "COW"?
Choices:
123
126
129
132
Answer: A
Question: The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.7,011 for a cell phone, then what was the cost price of the cell phone?
Choices:
Rs.6,750
Rs.5,700
Rs.6,925
None of these
Answer: B
Question: A cube of edge 5 cm is cut into cubes of each edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to
Choices:
1 : 25
1 : 125
1 : 625
None
Answer: A
Question: In a school of 650 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
163
153
143
117
Answer: D
Question: Mr Amin borrowed some money from Mr Vishwas. The rate of interest for first two years is 8% p.a., for the next three years is 11 % p.a. and for the period beyond 5 years 14% p.a. Mr Vishwas got an amount of 10920 as an interest at the end of eight years. Then what amount was borrowed by Mr Amin ?
Choices:
12000
1400
Data inadequate
None of these
Answer: A
Question: The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement W for his trip along the moving walkway?
Choices:
2.5 feet per second
3 feet per second
4 feet per second
5 feet per second
Answer: D
Question: In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Choices:
119
113
88
31
Answer: B
Question: In a certain circle there are 9 points. What is the number of the triangles connecting 3 points of the 9 points?
Choices:
84
108
120
132
Answer: A
Question: In an office, 10 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Choices:
16
50
144
160
Answer: A
Question: John makes $50 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?
Choices:
16.66%
50%
19%
21%
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1000 resolutions?
Choices:
1408 m
1479 m
1427 m
1297 m
Answer: A
Question: Two trains are moving in opposite directions @100kmph and 120kmph. Their length are 500m and 700m. The time taken by the slower train to cross faster train in second is?
Choices:
18.3sec
19.6sec
20.4sec
22.5sec
Answer: B
Question: A vendor bought dog for Rs. 1, and a cat for Rs. 1.20, a pig for Rs.1.34, He totally purchased 100 animals for 100 Rs. Then find no of cats.
Choices:
10
14
15
16
Answer: A
Question: A man can row a boat at 24 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 54 km downstream?
Choices:
27/16 hours
28/13 hours
27/13 hours
30/13 hours
Answer: A
Question: A certain auto manufacturer sold 2% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.3 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
22,50,000
22,90,000
22,95,000
23,00,000
Answer: A
Question: You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different R ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
Choices:
6
9
12
18
Answer: C
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Choices:
50
40
20
30
Answer: B
Question: A discount dealer professes to sell his goods at cost price
but uses a weight of 960 gms for a Kg weight .Find his gain %?
Choices:
6%
6/25%
25/6%
42%
Answer: C
Question: eight family members: 5 grandchildren (3 brothers and 2 sisters) and their 3 grandparents are to be seated around a circular table. How many different seating arrangements are possible so that 2 sisters are seated between any two of the three brothers?
Choices:
288
1440
2880
8640
Answer: A
Question: A large tanker can be filled by two pipes A and B in 30 and 15 hours respectively. How many hours will it take to fill the tanker from empty state if A and B fill it together?
Choices:
10hr
12hr
9hr
5hr
Answer: A
Question: In the fifth grade at Parkway elementary school there are 450 students. 320 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choices:
73.
81.
95.
108.
Answer: C
Question: 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c?
Choices:
1/4
1
4
5
Answer: A
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the three socks?
Choices:
15
21
36
6
Answer: D
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 0, 1, 2, 3, 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:
2/625
4/625
50/625
25/625
Answer: C
Question: If b=4p where p is a prime number greater than 2, how many different positive even divisors does b have, including b?
Choices:
three
four
six
eight
Answer: B
Question: A watch was sold at a loss of 10%. If the watch was sold for $20 more, there would have been a gain of 6%. What is the cost price?
Choices:
$105
$115
$125
$135
Answer: C
Question: a goes to place x and b goes to place y.
after a travelled 180 km more than b they together meet at a point between xy. they together had their lunch for half an hour. after that a took 2 hrs to reach x and b took 4.5 hrs to reach y. find distance between x and y?
Choices:
900km
720km
820km
920km
Answer: A
Question: The length of the bridge, which a train 180 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
195 m
245 m
156 m
156 m
Answer: A
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1.2 cm when a man gets on it. The mass of man is
Choices:
72 kg
72 kg
96 kg
None
Answer: A
Question: The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement Z for his trip along the moving walkway?
Choices:
2.5 feet per second
3 feet per second
4 feet per second
5 feet per second
Answer: D
Question: The average of runs of a cricket player of 10 innings was 40. How many runs must he make in his next innings so as to increase his average of runs by 4?
Choices:
16
10
84
17
Answer: C
Question: The average age of the district level hockey team of eleven is 26 years.The average age gets increased by 2 year when the coach age is also included.what is the age of the coach ?
Choices:
50 yrs.
45 yrs.
48 yrs.
52 yrs.
Answer: A
Question: A glucose solution contains 20 grams of glucose per 1000 cubic centimeters of solution. If 500 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
Choices:
10.00
11.50
10.50
9.75
Answer: A
Question: The area of a triangle is with base 3m and height 4m?
Choices:
6 m2
18 m2
19 m2
12 m2
Answer: A
Question: .01 x .3 ÷ .4 x .5 = ?
Choices:
.0375
.00375
.1
None of these
Answer: B
Question: Which of the following is divisible by the first six positive integer multiples of 19?
(i) 52440
(ii) 114600
(iii) 19038
Choices:
i only
iii only
ii and iii only
i and ii only
Answer: A
Question: Machine A and machine W are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine W. Machine W produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
Choices:
6
60
100
110
Answer: A
Question: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?
Choices:
180 km
200 km
220 km
240 km
Answer: A
Question: A cube has a volume of 27 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices:
216
64
80
100
Answer: A
Question: Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion. In 16 years from now, Lyn the circus Lion will be exactly half as old as Ele, the circus Elephant. How old is Ele today?
Choices:
48
43
42
41
Answer: A
Question: What is the smallest number which when increased by 3 is divisible by 18, 70, 100 and 21?
Choices:
5447
5867
6297
6617
Answer: C
Question: What is the probability of flipping a fair coin four times and the coin landing on heads on exactly three flips?
Choices:
1/4
2/3
2/5
1/8
Answer: A
Question: Rectangular Floors X and Y have equal area. If Floor X is 14 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
Choices:
18
18 3/4
21
28
Answer: D
Question: There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability W that the number of men is equal to that of women?
Choices:
W=18/35
14/35
13/35
12/35
Answer: A
Question: If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many Z such committees are possible?
Choices:
40
50
Z=80
Z=120
Answer: C
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Choices:
11:23 p.m
10:30 p.m
07:30 p.m
05:93 p.m
Answer: B
Question: 4, 5, 7, 11, 19, (...)
Choices:
22
35
27
28
Answer: B
Question: Two pyramids are thrown with faces 1,2,4,6. Find the probability to get a sum of even number on an their faces?
Choices:
5/8
1/4
7/4
3/5
Answer: A
Question: A certain number when divided by 39 leaves a remainder 17, what is the remainder when the same number is divided by 13?
Choices:
8
9
6
4
Answer: D
Question: Average of all prime numbers between 30 to 50
Choices:
37.8
39
39.8
40
Answer: C
Question: A snail, climbing a 42 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
Choices:
26
32
39
51
Answer: C
Question: The letters D, G, I, I , and T can be used to form 5-letter strings as DIGIT or DGIIT. Using these letters, how many 5-letter strings can be formed in which the two occurrences of the letter I are separated by at least one other letter?
Choices:
18
24
36
48
Answer: C
Question: A 8% stock yields 20%. The market value of the stock is:
Choices:
Rs 45
Rs 40
Rs 50
Rs 55
Answer: B
Question: At what rate percent on simple interest will Rs.750 amount to Rs.825 in 5 years?
Choices:
2
4
5
6
Answer: A
Question: In the formula V = 1/(2r)^3, if r is halved, then V is multiplied by?
Choices:
8
1
1/8
1/64
Answer: A
Question: If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
Choices:
1
2
3
None of these
Answer: B
Question: A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.4, and there are exactly 90 candies, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?
Choices:
$20.75
$33.20
$42.75
$45.00
Answer: B
Question: A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $5 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Choices:
$82
$110
$138
$195
Answer: D
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
627 m
892 m
288 m
Answer: A
Question: If two positive numbers are in the ratio 1/9 : 1/5, then by what percent is the second number more than the first?
Choices:
80%
60%
50%
65%
Answer: A
Question: A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 8:00 a.m., at what time was it one-eighth full?
Choices:
7:00 a.m.
6:00 a.m.
4:00 a.m.
2:00 a.m.
Answer: A
Question: C and D enter into partnership with capital as 7:9. At the end of 8 months, C withdraws. If they receive the profits in the ratio of 8:9 find how long D's capital was used?
Choices:
months
months
months
months
Answer: C
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 1,600 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
5.65%
5.75%
5.85%
5.95%
Answer: D
Question: The product of two successive numbers is 4160. Which is the smaller of the two numbers?
Choices:
64
88
67
37
Answer: A
Question: A basket has 6 apples and 4 oranges. FOUR fruits are picked at random. The probability that at least 3 apples are picked is
Choices:
25/48
19/42
25/47
25/43
Answer: B
Question: A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
Choices:
224 km
243 km
222 km
215 km
Answer: A
Question: The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/3% loss
19 2/3% loss
13 2/3% loss
26 2/3% loss
Answer: A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
286
298
2776
8811
Answer: C
Question: On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.6, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choices:
0.096
0.128
0.512
0.64
Answer: A
Question: How many combinations of three letters taken from letters (a, b, b, c, c, d) are possible?
Choices:
10
35
36
56
Answer: A
Question: If x#y is defined to equal x^3/y for all x and y, then (-1#2)#3 =
Choices:
1/3
1/12
-1/12
1/24
Answer: D