antoine-444/aqua_rat_dataset huggingface dataset:
Question: If 2 cards are selected at random from the deck of 52 cards then What is the probability of selected cards will be Queen?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit
Choices:
12/2652
2/2652
4/2652
8/2652
Answer: A
Question: A money lender lent a total of $1500 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1500, how much did he lend to each of the two customers?
Choices:
1005; 495
1000; 800
1200; 800
None of the above
Answer: A
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
175
375
475
575
Answer: A
Question: If a farmer sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 25 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
Choices:
24
48
55
49
Answer: D
Question: In a competitive examination in state Madhya Pradesh, 4% candidates got selected from the total appeared candidates. State Uttar Pradesh had an equal number of candidates appeared and 9% candidates got selected with 72 more candidates got selected than Madhya Pradesh. what was the number of candidates appeared from each state?
Choices:
1440
1600
720
820
Answer: A
Question: If after 700 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Choices:
220 grams
250 grams
350 grams
1400 grams
Answer: D
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
10 years
None of these
CANNOT BE DETERMINED
Answer: A
Question: The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 35 inclusive.
Choices:
288
410
424
450
Answer: A
Question: One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 200cm when it touches the floor on third time. What is the value of the original height?
Choices:
80cm
100cm
120cm
130cm
Answer: A
Question: Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 264. What is their H.C.F.?
Choices:
22
24
28
32
Answer: A
Question: In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 4 and that the product of the given number and the sum of its digits is equal to 90, then the number is:
Choices:
15
38
46
48
Answer: A
Question: Andrew has a certain number of coins in his pocket. He has four times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket?
Choices:
10
18
20
21
Answer: B
Question: If n is the product of the integers from 1 to 12, inclusive, how many different prime factors greater than 1 does n have?
Choices:
Five
Six
Seven
Eight
Answer: A
Question: A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 11,900 sedans in Anytown, how many motorcycles are there?
Choices:
2100
3400
4200
5200
Answer: B
Question: A thief is spotted by a policeman from a distance of 100metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10km/hr, how far the thief will have run before he is overtaken ?
Choices:
400m
500m
450m
650m
Answer: A
Question: A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English?
Choices:
66
77
44
None of these
Answer: A
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 64, how many questions did Student A answer correctly?
Choices:
60
73
82
88
Answer: D
Question: Joe is now 26 years older than Ella. If in 12 years Joe will be three times as old as Ella, how old will Joe be in 6 years?
Choices:
33
35
37
39
Answer: A
Question: How many words, with or without meaning, can be formed using all letters of the word ORANGE using each letter exactly once?
Choices:
720
740
760
780
Answer: A
Question: A, B and C invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year is Rs.21,600, then what is B's share in the profit?
Choices:
3000
5000
4000
6000
Answer: C
Question: In a certain town, there are nine times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is
Choices:
1 to 3
1 to 2
3 to 4
9 to 10
Answer: D
Question: The total age of A and B is 18 years more than the total age of B and C. C is how many years younger than A.?
Choices:
12
15
18
10
Answer: C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 10000 more than D, what is B's share?
Choices:
B)29000
C)20005
D)23930
E)20000
Answer: D
Question: what is the 10 th term in 1,3,9,15,25,35,-----?
Choices:
77
88
99
95
Answer: C
Question: Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
10
28
27
36
Answer: D
Question: A fair coin is tossed repeatedly. If heads appears on first 3 tosses what is the probability that tail appears on the next two tosses?
Choices:
1/5
1/3
1/4
1/6
Answer: C
Question: A train 150 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?
Choices:
6 seconds
9 seconds
8 seconds
7 seconds
Answer: B
Question: Evaluate 35% of 450 + 45% of 350
Choices:
242
315
262
272
Answer: B
Question: In how many ways letters of the word RESPECT be arranged?
Choices:
2536
3260
2520
1450
Answer: C
Question: 15 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)
Choices:
8
10
20
40
Answer: B
Question: For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 9, 8, 8, 7, 9, 10, 6, 6, 8 and 7. By what percent did she fall short of her goal?
Choices:
2.5%
8%
10%
12%
Answer: A
Question: Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of z feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
Choices:
5,280(x/z)
5,280(xy)
5,280/(xy)
(xy)/5,280
Answer: A
Question: A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
Choices:
20% profit
less than 20% profit
more than 20% profit
None
Answer: C
Question: if integer N has p factors ; how many factors will 3N have ?
Choices:
2p
P+1
2p+1
Cannot be determined
Answer: D
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was
Choices:
12 years
14 years
15 years
16 years
Answer: B
Question: By selling 10 pens for a rupee a woman loses 18%. How many for a rupee should he sell in order to gain 30%?
Choices:
14
45
6
7
Answer: C
Question: Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and completed half the work and then Jane takes over and completes the second half, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose.
Choices:
30 days
60 days
65 days
36 days
Answer: B
Question: In a 100 m race, A runs at 8km per hour. If A gives B a start of 7 m and still him by 15 seconds, what is the speed of B ?
Choices:
5.58 km/hr.
5.76 km/hr.
6.76 km/hr.
5.72 km/hr.
Answer: A
Question: If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction?
Choices:
1/12
1/19
1/14
1/13
Answer: A
Question: Two goods train each 500 m long are running in opposite directions so parallel tracks.Their speeds are 45 kmph and 30 kmph respectively.Find the time taken by the slower train to pass the driver of the first one
Choices:
24 sec
48 sec
60 sec
65 sec
Answer: A
Question: Of the 200 math majors at a certain university, 50 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
Choices:
15
30
45
60
Answer: A
Question: A box contains 25 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
Choices:
3/10
12/19
21/95
None
Answer: A
Question: A certain team consists of 3 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
Choices:
38
42
46
50
Answer: C
Question: A biker covered half the distance between two towns in 2 hr 30 min. After that he increased his speed by 2 km/hr. He covered the second half of the distance in 2 hr 20 min. Find the distance between the two towns and the initial speed of the biker.
Choices:
140
130
150
160
Answer: A
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
Rs.64
Rs.44
Rs.46
Rs.34
Answer: B
Question: There are 1000 students in a school and among them 30 % of them attends chess class. 10% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
Choices:
10
100
30
20
Answer: C
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 76, how many questions did Student A answer correctly?
Choices:
92
73
82
91
Answer: A
Question: If x + 4 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?
Choices:
-2 and 10
2 and 7
3 and 4
3 and 10
Answer: A
Question: Of 30 applicants for a job, 12 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Choices:
13
9
7
5
Answer: C
Question: X and Y invested in abusiness. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :
Choices:
40,000
50,000
60,000
None
Answer: C
Question: Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 30 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change?
Choices:
177
178
89
378
Answer: C
Question: If an object travels at two feet per second, how many feet does it travel in one hour?
Choices:
3778
7200
1800
2881
Answer: B
Question: The series of differences between consecutive prime numbers is represented as dp1, dp2, dp3, .... dpn .Whare dp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ?
Choices:
81
83
87
86
Answer: A
Question: The triplicate ratio of 1:3 is?
Choices:
1:27
1:3
1:1
1:2
Answer: A
Question: 25.25/3000 is equal to:
Choices:
0.008416667
0.12526234
0.01072333
0.12725002
Answer: A
Question: 80 x 100 + 80 x 11 = ?
Choices:
8880
6200
5200
None of them
Answer: A
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 190 games will be played during the tournament. What is the number of participants?
Choices:
16
18
20
22
Answer: C
Question: If a certain toy store's revenue in November was 2/3 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choices:
1/2
2/3
2
3
Answer: D
Question: Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255
Choices:
24
27
30
35
Answer: B
Question: How many multiples of 100 are there between 100 and 1000 (both are inclusive)?
Choices:
8
4
5
10
Answer: D
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 40 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
Choices:
45
50
55
67.5
Answer: D
Question: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L does pass the origin.
2.Line L must passes through the first quadrant.
3.The slope of L is negative
Choices:
II only
III only
I and II
II and III
Answer: B
Question: Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 90,000 different outfits, then for how many garments does Dave have exactly five choices?
Choices:
1
2
3
4
Answer: D
Question: Which of the following fractions is at least twice Smaller than 13/50?
Choices:
11/34
9/20
8/21
43/99
Answer: B
Question: Bhatia, Ashtikar and Singh begin to play with Rs 70 each. At the end the ratio of the amounts left
with Ashtikar and Singh is 1 : 2 and of those with Singh and Bhatia is 4 : 1. What is Singh's gain
(in Rs)?
Choices:
45
48
50
53
Answer: C
Question: If a number between 10 and 20 (inclusive) at random. What is the probability that the tens digit is greater than ones digit?
Choices:
2/11
14/41
27/41
11/41
Answer: A
Question: If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?
Choices:
1
2
3
4
Answer: C
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
Choices:
24
12
7
45
Answer: A
Question: If circles x and y have the same area and circle x has a circumference of 20π, half of the radius of circle y is:
Choices:
5
4
2
1
Answer: A
Question: If the radius of a circle is decreased 60%, what happens to the area?
Choices:
20% decrease
36% decrease
84% decrease
50% decrease
Answer: C
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is?
Choices:
6:3
4:4
4:8
4:1
Answer: A
Question: Let n be divided by 5,and the remainder obtained is 4. What will be the remainder when 5 divided by 2n?
Choices:
4
1
3
5
Answer: C
Question: The difference between a number and its two-fifth is 510. What is 15% of that number?
Choices:
85
76
168.2
127.5
Answer: D
Question: If S is the sum of reciprocals of a list of consecutive integers from 15 to 24, inclusive, S is approximately equal to
Choices:
0.2
0.3
0.4
0.5
Answer: D
Question: An article is bought for Rs.800 and sold for Rs.600, find the loss percent?
Choices:
16 7/3%
16 2/8%
25%
76 2/3%
Answer: C
Question: At what rate percent on simple interest will a sum of money double itself in 50 years?
Choices:
3 1/9%
3 9/3%
2%
3 6/3%
Answer: C
Question: In a zoo, the ratio of the number of cheetahs to the number 4 then what is the increase in the number of pandas?
Choices:
12
5
10
15
Answer: A
Question: A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 35 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
Choices:
70%
75%
89%
95%
Answer: C
Question: In a 1200 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Choices:
50 sec
60 sec
Data not sufficient
None of these
Answer: B
Question: 9823 + x = 13200, then x is ?
Choices:
3237
3337
3377
None of these
Answer: C
Question: If 8 women can color 400 m long cloth in 5 days, then 10 women can color 500 m long cloth in?
Choices:
4 days
5 days
15 days
10 days
Answer: B
Question: A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 70% marks is
Choices:
2
1
4
5
Answer: B
Question: If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill?
Choices:
50
55
70
None of these
Answer: A
Question: A three-person committee must be chosen from a group of 8 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
Choices:
B)696
C)630
D)1,260
E)1,980
Answer: A
Question: Lorna invests $6000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
Choices:
$1,600
$2,200
$4,400
$5,840
Answer: A
Question: If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
Choices:
3
2
5
4
Answer: A
Question: Working together, Tim and Tom can type 12 pages in one hour. If they would be able to type 15 pages in one hour if Tom increases his typing speed by 30%, what is the ratio of Tom's normal typing speed to that of Tim?
Choices:
5/1
4/1
1/4
1/3
Answer: A
Question: If |t|=−t, which of the following must be true?
Choices:
t≤0
x2>x
x3<0
2x<x
Answer: A
Question: 60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $200 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?
Choices:
18
32
40
44
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is
Choices:
668
119
177
121
Answer: B
Question: Four of the following five parts lettered a, b, c, d and e are exactly equal. Which of the following is not equal to the other four?
Choices:
17 × 12 + 59 × 4
15 × 28 + 20
27 × 16 + 56 ÷ 8
185 × 6 ÷ 2 – 23 × 5
Answer: C
Question: The radius of the two circular fields is in the ratio 5: 4 the area of the first field is what percent greater than the area of the second?
Choices:
32%
34%
64%
36%
Answer: C
Question: A can run 192 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
Choices:
28 metre
24 metre
15 metre
28 metre
Answer: B
Question: At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 10 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
Choices:
50%
55%
75%
80%
Answer: A
Question: A shop sells 1 chocolate at the rate Rupee 1 each . You can exchange three warppers for one chocolate.
If you have Rs. 15, what is the maximum number of chocolates you can get?
Choices:
22
23
24
25
Answer: A
Question: A discount of 20 percent on an order of goods followed by a discount of 40 percent amounts to
Choices:
the same as one 40 percent discount
the same as one 36 percent discount
the same as one 52 percent discount
the same as one 25 percent discount
Answer: C
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*+2 and 7*+7, exclusive ?
Choices:
1
None of the above
3
4
Answer: B
Question: Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
Choices:
486
299
278
1888
Answer: A
Question: Seats for Mathematics,PhysicsandfBilogy in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Choices:
2:3:4
6:8:9
5:8:9
2:4:6
Answer: A
Question: In 10 years,A will be 1.5 times as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :
Choices:
17 Years
39 Years
49 Years
59 Years
Answer: A
Question: The number of stamps that Kaye and Alberto had were in the ration of 6:4 respectively. After Kaye gave Alberto 5 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 8:6. As a result of the gift, Kaye had how many more stamps than Alberto ?
Choices:
25
15
35
30
Answer: A
Question: The area of a square is added to one of its sides, and the perimeter is then subtracted from this total, the result is 4. What is the length of one side?
Choices:
4
3
2
1
Answer: A
Question: The ratio of the present age of Sandy to that of Molly is 9:2. Eight years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?
Choices:
21
24
27
30
Answer: A
Question: Tom wants to buy items costing $25.35, $90.69, and $85.96. He earns $6.50 an hour doing
odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he
work to earn the money he needs for his purchases? Round your answer to the nearest whole
hour.
Choices:
48 hours
38 hours
18 hours
35 hours
Answer: D
Question: The ratio of the adjacent angles of a parallelogram is 5 : 10. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Choices:
228°
144°
224°
None of these
Answer: B
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 8, 13, 55, 12, 14, 64
II. 32, 32, 32, 32, 32, 32
III. 37, 38, 39, 40, 41, 42
Choices:
I, III, II
II, I, III
II, III, I
II,III, I
Answer: D
Question: One fourth of a solution that was 10 percent wheat by weight was replaced by a second solution resulting in a solution that was 16 percent wheat by weight. The second solution was what percent wheat by weight ?
Choices:
34%
22%
18%
8.5%
Answer: A
Question: How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/41 ?
Choices:
3
2
1
0
Answer: C
Question: In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
Choices:
55.5 kg
59.5 kg
66.5 kg
70.5 kg
Answer: C
Question: How many ways are there to select a subcommittee of 12 members from among a committee of 17?
Choices:
19448
28791
27711
6188
Answer: D
Question: A contractor undertook a project to complete it in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that he needed to increase 5 additional men every 2 days to complete the work in the time the client wanted it:
If the work was further increased by 50% but the contractor continues to increase the 5 workers o every 2 days then how many more days are required over the initial time specified by the client.
Choices:
2 days
5 days
None of these
Cannot be determined
Answer: A
Question: If the integer q is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when q is rounded to the nearest ten. which of the following is a possible value of q?
Choices:
64
99
133
147
Answer: A
Question: Two men can complete a piece of work in four days. Two women can complete the same work in eight days. Four boys can complete the same work in five days. If four men, eight women and 20 boys work together in how many days can the work be completed?
Choices:
1/2 day
1 1/2 days
3 1/2 days
2 days
Answer: A
Question: A city council will select 2 of 7 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
Choices:
72
144
216
126
Answer: D
Question: Angela has 13 pairs of matched socks. If she loses 7 individual socks, which of the following is NOT a possible number of matched pairs she has left?
Choices:
9
10
11
12
Answer: B
Question: A store sells a certain product at a fixed price per unit. At the product's current price, e units cost a total of exactly $300. If the price were lowered by $5 from its current value, then e + 2n units would cost exactly $300; if the price were raised by $5, then e – n units would cost exactly $300. What is the value of e?
Choices:
15
20
25
30
Answer: B
Question: A train of length 240 metres takes 60 seconds to cross a tunnel of length 450 metres. What is the speed of the train in km/hr?
Choices:
20 km/hr.
30 km/hr.
40 km/hr.
None
Answer: D
Question: All of the students of Music High School are in the band, the orchestra, or both. 50 percent of the students are in only one group. There are 140 students in the band. If 20 percent of the students are in the band only, how many students are in the orchestra only?
Choices:
60
50
80
40
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 50 years now, the son's age 10 years back was:
Choices:
19 years
33 years
15 years
39years
Answer: C
Question: A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 50% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?
Choices:
45%
50%
60%
70%
Answer: B
Question: Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 10.0 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ?
Choices:
12.1
10.0
12.3
12.4
Answer: B
Question: The ratio 10:20 expressed as percent equals to
Choices:
50 %
40 %
90 %
100%
Answer: A
Question: Jonathan can type a 20 page document in 50 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Choices:
11 minutes
15 minutes
18 minutes
20 minutes
Answer: A
Question: How many integers are between 3 and 86/7, inclusive?
Choices:
9
10
11
12
Answer: B
Question: A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?
Choices:
166.66%
166.76%
136.66%
566.66%
Answer: A
Question: what is the unit digit in the product (3^68 x 6^59 x 7^71) ?
Choices:
2
4
6
None of them
Answer: B
Question: Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 10% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $14,000 imported car and ended up paying $1440 in taxes, what is the first tier's price level?
Choices:
$1600
$6050
$7050
$8000
Answer: A
Question: 9 points are marked on a straight line and another 8 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
540
196
21
14
Answer: A
Question: A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles ?
Choices:
Rs 20
Rs 22
Rs 25
Rs 26
Answer: B
Question: Five persons - A, B, C, D and E are being compared in weight and height. The second heaviest person. D is the shortest. A is the 2nd tallest and shorter than E, The heaviest person is the third tallest person. There is only one person shorter than B, who is lighter than E and A respectively.
Who is the heaviest person?
Choices:
B
C
D
E
Answer: B
Question: There are 600 military people in a division of the army. There is one Officer for every 29 soldiers in that division. Now the question is how many officers are in the division?
Choices:
35
37
20
75
Answer: C
Question: If the average (arithmetic mean) of a and b is 80, and the average of b and c is 180, what is the value of a − c?
Choices:
−200
100
135
It cannot be determined from the information given
Answer: A
Question: An bus covers a certain distance at aspeed of 320 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
Choices:
960 km/h
779 km/h
723 km/h
720 km/h
Answer: A
Question: A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?
Choices:
21000
21029
21298
21098
Answer: A
Question: Which of the following number is divisible by 24 ?
Choices:
3115832
3115800
3125832
3125834
Answer: C
Question: A train 120 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
88 kmph
54 kmph
18 kmph
27 kmph
Answer: D
Question: Current age of Bruce and Tomy are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Tomy 's present age in years?
Choices:
20 years
24 years
25 years
26 years
Answer: B
Question: A box contains four dime coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
Choices:
1/5
2/5
3/5
4/5
Answer: D
Question: On Monday, a certain animal shelter housed 50 cats and dogs. By Friday, 1/5 of the cats and 1/4 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?
Choices:
12
16
18
20
Answer: A
Question: A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
Choices:
5
7
9
10
Answer: B
Question: What is the ratio A of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Choices:
3/8
1/2
3/5
2
Answer: C
Question: In western Europe, q bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?
Choices:
14% of (x/100)
75% of (x/100)
9% of q
14% of x
Answer: C
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 300 more than the correct answer. Find the number.
Choices:
280
384
400
576
Answer: D
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 8 years hence?
Choices:
60
70
76
90
Answer: C
Question: Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 2244 sq. metres.
Choices:
26.7
24.3
22.5
None of these
Answer: A
Question: In what time will a railway train 65 m long moving at the rate of 32 kmph pass a telegraph post on its way?
Choices:
4 sec
5 sec
6 sec
7 sec
Answer: D
Question: Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Choices:
4
9
13
8
Answer: A
Question: difference between LCM and HCF of
following number 20 30 40?
Choices:
130
100
110
120
Answer: C
Question: Carrey rented a car for Rs.20 plus Rs.0.25 per kilometer driven. Samuel rented a car for Rs.24 plus Rs.0.16 per kilometer driven. If each drove d km. and each was charged exactly the same amount for the rental, then d equals ?
Choices:
44.4
1
19
44.11
Answer: A
Question: Three unbiased coins are tossed. What is the probability of getting 3 heads and 1 Tail?
Choices:
1/4
3/8
1/2
1/8
Answer: C
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
9.6
10
10.8
7
Answer: C
Question: An eccentric casino owner decides that his casino should only use chips in $5 and $9 denominations. Which of the following amount cannot be paid out using these chips?
Choices:
$31
$33
$24
$15
Answer: A
Question: The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions ? (use π = 22⁄7)
Choices:
44 m2
48 m2
36 m2
None of these
Answer: A
Question: The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.
Choices:
125m
150m
278m
300m
Answer: D
Question: A chemist mixes one liter of pure water with x liters of a 75% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x?
Choices:
1/4
1/2
1
3
Answer: A
Question: Three rugs have a combined area of 200 square meters. By overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 22 square meters. What is the area that is covered with three layers of rug ?
Choices:
20 square meters
24 square meters
19 square meters
30 square meters
Answer: C
Question: A thief is noticed by a policeman from a distance of 450 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
Choices:
100 meter
220 meter
120 meter
350 meter
Answer: D
Question: How many bricks, each measuring 80 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choices:
2000
5500
7400
3000
Answer: A
Question: A scale 6 ft. 8 inches long is divided into 4 equal parts. Find the length of each part.
Choices:
20 inches
66 inches
97 inches
66 inches
Answer: A
Question: A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 14 multiples of 14, how many multiples of 7 are there in Q?
Choices:
27
28
29
30
Answer: A
Question: What will be the difference in simple and compound interest on 4000 after three years at the rate of 10 percent per annum?
Choices:
42
62
124
None of these
Answer: C
Question: A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 16 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
Choices:
15
20
25
26 2/3
Answer: A
Question: The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is?
Choices:
151 cm
156 cm
165 cm
146 cm
Answer: A
Question: Excluding stoppages, the speed of a train is 60 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
Choices:
14
16
18
20
Answer: D
Question: A man can do a piece of work in 10days, but with the help of his son, he can finish it in 5days. In what time can the son do it alone?
Choices:
8
7
10
15
Answer: C
Question: Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length Q of time will elapse before they chime together again?
Choices:
4 hr. and 48 min.
1 hr. and 36 min.
5 hr.
2 hr.
Answer: A
Question: Marks of a student were wrongly entered in computer as 83, actual marks of that student were 63. Due to this mistake average marks of whole class got increased by half (1/2). Find the total number of students in that class.
Choices:
30
35
40
45
Answer: C
Question: A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 62. If the marks secured by Reema was written as 50 instead of 85 then find the correct average marks up to two decimal places.
Choices:
63
72.43
73.43
Cannot be determined
Answer: A
Question: Find the largest number that will divide 43,91,183 so as to leave the same reminder in each case.
Choices:
4
26
35
9
Answer: A
Question: Marla is hanging a banner diagonally across a rectangular room. The length of the room is 2 feet shorter than its width. If the total area of the room is 120 square feet, what is the length of the banner (in feet)?
Choices:
Between 14 and 15
Between 15 and 16
Between 16 and 17
Between 17 and 18
Answer: B
Question: A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 10 km per hour and the level part at the rate of 15 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 15 km per hour for the entire route?
Choices:
25
30
35
40
Answer: B
Question: On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (3; 9),
what is the maximum possible area of C?
Choices:
9
24
32
64
Answer: B
Question: If a certain sample of data has a mean of 24.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
13.5
17.0
23.5
16.5
Answer: D
Question: A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 25 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?
Choices:
5:34
5:42
6:00
6:24
Answer: B
Question: If HCF of two numbers is 11 and the product of these numbers is 363, what is the the greater number?
Choices:
33
38
42
44
Answer: A
Question: A man can row with a speed of 10 kmph in still water. If the stream flows at 30 kmph, then the speed in downstream is?
Choices:
5 kmph
40 kmph
22 kmph
25 kmph
Answer: B
Question: Find the ones digit of 73^356
Choices:
1
6
7
9
Answer: A
Question: 10^25 - 250 is divisible by all of the following except:
Choices:
A.11
C.5
D.6
E.3
Answer: A
Question: If A speaks the truth 85% 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:
0.48
0.41
0.482
0.51
Answer: D
Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
Choices:
600 m
400 m
700 m
500 m
Answer: A
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years?
Choices:
Rs.3120
Rs.3108
Rs.3106
Rs.3127
Answer: A
Question: A person travels equal distances with speed of 3 km/hr, 4 km/hr and 5 km/hr and takes a total of 47 minutes. Find the total distane
Choices:
3 km
6 km
9 km
5 km
Answer: A
Question: An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 32%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay?
Choices:
$88.00
$87.04
$80.96
$70.00
Answer: D
Question: A can run 4 times as fast as B and gives B a start of 66 m. How long should the race course be so that A and B might reach in the same time?
Choices:
88 m
80 m
65 m
75 m
Answer: A
Question: The length of a side of a hexagon is 8 inches. What is the perimeter?
Choices:
44
48
50
38
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 300 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
77
36
90
21
Answer: C
Question: Ms. Lopez deposits $ 150 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?
Choices:
$120.00
$181.15
$122.00
$140.00
Answer: B
Question: How many four digit numbers divisible by 4 can be made with digits 1, 2, 3, 4, 5 if the repetition of digits is not allowed?
Choices:
20
30
40
50
Answer: B
Question: A candidate appearing for an examination has to secure 42% marks to pass paper I. But he secured only 60 marks and failed by 20 marks. What is the maximum mark for paper I?
Choices:
120
130
140
190
Answer: D
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
67 kmph
15 kmph
88 kmph
12 kmph
Answer: B
Question: By selling a watch for Rs.800/-, a man loses 20% what is that watch cost price
Choices:
s. 800/-
s. 880/-
s. 900/-
s. 1000/-
Answer: D
Question: If 100!/30^n is an integer, which of the following is the greatest possible value of n?
Choices:
24
20
15
10
Answer: A
Question: Find the average of all numbers between 6 and 36 which are divisible by 7
Choices:
15
25
30
35
Answer: A
Question: A batch of widgets costs p + 8 dollars for a company to produce and each batch sells for p(7 – p) dollars. For which of the following values of p does the company make a profit?
Choices:
3
5
6
7
Answer: A
Question: Find large number from below question The difference of two numbers is 2500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1250
1540
2997
1635
Answer: C
Question: A walks at 30 kmph and 30 hours after his start, B cycles after him at 42 kmph. How far from the start does B catch up with A?
Choices:
1500km
2000km
2500km
3150km
Answer: D
Question: The speed at which a girl can row a boat in still water is 90 kmph. If she rows downstream, where the speed of current is 18 kmph, what time will he take to cover 330 metres?
Choices:
11
13
14
15
Answer: A
Question: If p/q =4/5, then the value of 11/7 + {(2q - p) / (2q + p)} is ?
Choices:
34
1
2
3
Answer: C
Question: Two cubes of their volumes in the ratio 27 : 125. The ratio of their surface area is:
Choices:
2:5
3:5
1:5
4:5
Answer: B
Question: At a certain supplier, a machine of type A costs $21,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
Choices:
$10,560
$12,000
$12,800
$13,200
Answer: A
Question: A lends Rs. 1500 to B and a certain sum to C at the same time at 8% per annum simple interest. If after 4 years, A altogether receives Rs. 1400 as interest from B and C, then the sum lent to C is
Choices:
Rs.2875
Rs.2245
Rs.2445
Rs.2615
Answer: A
Question: Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 22,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
Choices:
1.25 million
10 million
12.9 million
125 million
Answer: C
Question: If x is an odd integer, which of the following must also be odd?
Choices:
x + x
3x + 3
2x + x
x^2 + 1
Answer: C
Question: If x = (y)(y + 1) and y is a prime number less than 11, which of the following could not be the product of 2 consecutive integers?
Choices:
11x
13x
23x
57x
Answer: C
Question: A person want to give his money of $600 to his 3 children A,B,C in the ratio 1:2:3. What is the B+C share?
Choices:
$300
$150
$450
$500
Answer: D
Question: What is the remainder when 1003 * 1005 * 1007 is divided by 15
Choices:
17
14
0
7
Answer: C
Question: What approximate value should come in place of (x) in the following question?
139.25 + 223.94 / 4.002 = x
Choices:
203
200
195
185
Answer: C
Question: A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 12 km per hour respectively. What is the distance between them after 6 minutes?
Choices:
200 m
300 m
100 m
250 m
Answer: B
Question: Sum of even numbers between 15 and 25 is
Choices:
80
130
100
None
Answer: C
Question: If 25% of x is 5 less than 10% of 500, then x is?
Choices:
180
156
840
121
Answer: A
Question: A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted).
if this plant grew by 30% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow
Choices:
b) 4.5
c) 0.69
d) 5.5
e) 3
Answer: B
Question: A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 8 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
Choices:
32
43
60
77
Answer: A