antoine-444/aqua_rat_dataset huggingface dataset:
Question: A sells a bicycle to B and makes a profit of 60%. B sells the same bicycle to C at a profit of 25%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.
Choices:
126
971
611
112.5
Answer: D
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 146, what is the difference between the ages of Patrick and Monica?
Choices:
48
45
72
18
Answer: A
Question: At a certain conference, 150 students spoke one or more of the following languages: Spanish, English, and French. If 51 students spoke Spanish, 90 spoke English, 65 spoke French, and 32 spoke only 2 languages, how many students spoke three different languages?
Choices:
9
12
15
18
Answer: B
Question: From the digits 2, 3, 4, 5, 6 and 7, how many 5-digit numbers can be formed that have distinct digits and are multiples of 12?
Choices:
60
84
72
86
Answer: A
Question: David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
Choices:
5000
5006
5003
5009
Answer: A
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Choices:
1212
1210
277
291
Answer: B
Question: In ΔPQS above, if PQ =5 and PS = 6, then
Choices:
12/5
16/5
30/7
50/3
Answer: C
Question: P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 12 days. How many days more will P take to finish the work?
Choices:
12
18
20
22
Answer: A
Question: Some of the 50% solution of acid was removed and this was replaced with an equal amount of 10% solution of acid. As a result, a 20% solution of acid was obtained. What fraction of the original solution was replaced?
Choices:
2/3
3/4
3/5
4/5
Answer: B
Question: Set C consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set C?
Choices:
6
7
1
766
Answer: C
Question: Printer P can print one lakh books in 8 hours. Printer Q can print the same number of books in 10 hours while Printer R can print the same in 12 hours. All the Printers started printing at 9 A.M. Printer P is stopped at 11 A.M. and the remaining 2printers complete work. Approximately at what time will the printing of 1 lac books be completed?
Choices:
1 pm
12 pm
2 pm
3 pm
Answer: A
Question: How many times the keys of a writter have to be pressed in order to write first 400 counting no.'s?
Choices:
1000
1092 times
1100
1200
Answer: B
Question: Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively.How many kgs of each should be blended to produce 100 kg of mixture worth Rs.90/kg, given that the quantities of band c are equal
Choices:
50,25,25
60,20,20
40,30,30
20,30,30
Answer: A
Question: There are four members in a family. Their average income is Rs.10000 per month. Three members get Rs.8000, Rs.15000, Rs.6000 respectively. Therefore what is the income of the fourth member of the family?
Choices:
Rs. 11000
Rs. 12000
Rs. 9000
Rs. 8500
Answer: A
Question: The cost price of 15 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
36 4/11%
18 9/11%
18 2/91%
12 2/11%
Answer: A
Question: How many different number-plates for cars can be made if each number-plate contains four of the digits 0 to 9 followed by a letter A to Z, assuming that
(a) no repetition of digits is allowed?
Choices:
131040
142369
147225
132547
Answer: A
Question: During a two-week period, the price of an ounce of silver increased by 30 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?
Choices:
1.13x
1.1x
1.07x
1.04x
Answer: D
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 9 minutes. The waste pipe can empty the full cistern in?
Choices:
18
16
19
15
Answer: A
Question: If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 3 other contributions made before john's, what is the size of his donation?
Choices:
$150
$200
$250
$450
Answer: A
Question: The average weight of 5 students decreases by 12 kg when one of them weighing 72 kg is replaced by a new student. The weight of the student is
Choices:
12 kg
20 kg
72 kg
None of these
Answer: A
Question: A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 4 times. Find how much spirit is left in the resulting mixture finally?
Choices:
8(346/625) gallons
8.192 gallons
8.25 gallons
None of these
Answer: B
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Choices:
132
279
277
278
Answer: A
Question: If the price of an article decreases by 111/9 % and the sale of the article increases by 12 ½ %, what is the net effect on revenue?
Choices:
1% gain
No loss or no gain
Cannot be determined
None of these
Answer: B
Question: A train 280 m long, running with a speed of 63 km / hr will pass a tree in
Choices:
15 sec
16 sec
20 sec
None
Answer: B
Question: A salesman travels a distance of 50 km in 2 hours and 30 minutes. How much faster in kilometer per hour, on an average, must he travel to make such trip in 5/6 hour less time?
Choices:
10km/hr
20km/hr
30km/hr
25km/hr
Answer: A
Question: John tossed a fair coin 2 times. What is the probability that the coin landed heads up exactly twice?
Choices:
0.5
0.6
0.65
0.7
Answer: A
Question: 0.002 x 0.5 = ?
Choices:
0.001
0.01
0.1
1.0
Answer: A
Question: Andy completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choices:
8 days
9 days
10 days
11 days
Answer: A
Question: The price of commodity X increases by 40 paise every year, while the price of commodityY increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?
Choices:
2011
2012
2013
None
Answer: A
Question: Let's find out how sharp your mind is. Let's see if you can find the missing numbers in the series:
192, 021, 222, 324, 252, 627, 2__, 9__?
Choices:
282 and 930.
283 and 930.
None
Cannot be determined
Answer: A
Question: A watch was sold at a loss of 21%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
560
799
778
901
Answer: A
Question: Each factor of 200 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
Choices:
5/42
1/8
3/16
1/9
Answer: D
Question: The radius of a cylinder is 8 m, height 13 m. The volume of the cylinder is:
Choices:
2614.9
3300
1100
4400
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. 26000, then the share of B is?
Choices:
B)14000
C)12000
D)13007
E)14098
Answer: B
Question: Farm Tax is levied on the 60% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Choices:
25%
0.125%
0.2083%
none
Answer: D
Question: If a+b+c=13, a2+b2+c2=69, then find ab+bc+ca
Choices:
50
69
75
80
Answer: A
Question: M = {-6, -5, -4, -3, -2}
T = {-2, -1, 0, 1, 2, 3, 4, 5}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Choices:
5/8
2/5
1/2
3/5
Answer: A
Question: Thabo owns exactly 280 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?
Choices:
20
30
40
55
Answer: D
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 108 as interest at the end of the loan period, what was the rate of interest?
Choices:
3
18
24
None of these
Answer: A
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.37, the number of 25 paisa coins is?
Choices:
31
32
34
37
Answer: D
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. 1000 more than D, what is B's share?
Choices:
2679
2000
2699
2661
Answer: B
Question: When I acquired my Mercedes-Benz car in Germany, the first thing I had to do was to get a license plate. The plate I got had a peculiar number on it. It consisted of 5 different numbers and by mistake when I fixed it upside down the number could be still read, but the value had increased by 78633.
Choices:
10968
10967
10966
10965
Answer: A
Question: A basket contains 10 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
Choices:
3/8
2/7
1/6
1/5
Answer: D
Question: Ram has two dies which has a nos 2,3,4,6 when he throws the two dies together find the no of possibility so that the some of the two dies should be even...???
Choices:
5/8
6/8
7/8
3/8
Answer: A
Question: When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 127.05, what is value of J?
Choices:
320
370
400
450
Answer: A
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $1.20 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$275
$510
$612
$2,550
Answer: C
Question: Which of the following describes all values of x for which 9–x^2 >= 0?
Choices:
x <= –1
-3 <= x <= 3
x <= –1 or x >= 1
–1 <= x <= 1
Answer: B
Question: How many integers between 324,700 and 458,600 have a 2 in the tens digit and a 1 in the units digit?
Choices:
1339
4200
1340
2414
Answer: A
Question: In business, A and C invested amounts in the ratio 4:2, whereas the ratio between amounts invested by A and B was 4:1, If Rs 20,000 was their profit, how much amount did A receive.
Choices:
13333
45896
14639
89576
Answer: A
Question: The arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.7, respectively. What value is exactly 2 standard deviations less than the mean?
Choices:
11
11.1
12
12.5
Answer: B
Question: What number comes next?
482, 693, 754, 826, 937, ?
Choices:
231
245
548
123
Answer: C
Question: There is a certain relation between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the given pair has.
Choices:
Chauffeur
Mechanic
Brake
gren
Answer: A
Question: If B> 0 and B is divisible by the product of the first nine positive integers, all of the following must be factors of B except
Choices:
40
63
315
704
Answer: D
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
2 km/hr
4 km/hr
6 km/hr
8 km/hr
Answer: D
Question: Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Choices:
2672
2288
2500
1288
Answer: C
Question: 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 3 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
Choices:
60
19
29
39
Answer: A
Question: Shopkeeper rise price by 31% and gives successive discount of 10% and 15%. What is overall % gain or loss?
Choices:
0.215%
3.215%
6.215%
7.215%
Answer: A
Question: Jane covered a distance of 330 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Choices:
2 hours 30 minutes
2 hours
1 hour 45 minutes
None of these
Answer: A
Question: 1^2 – 2^2 + 3^2 – 4^2 + 5^2 – 6^2 + 7^2 – 8^2 + 9^2 – 10^2=?
Choices:
-53
-35
-55
-58
Answer: C
Question: Find 4 + 7 + 10 + 13 + 16 + . . . up to 20 terms
Choices:
650
630
620
610
Answer: A
Question: A man invested Rs. 26000 in 5% stock at 104. He sold the stock when the price rose to Rs. 120 and invested the sale proceeds in 6% stock. By doing this his income increased by Rs. 2500. At what price did he purchase the second stock?
Choices:
40
48
35
50
Answer: B
Question: 55
a6
+ 2b
____
96
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b ?
Choices:
7
9
11
12
Answer: C
Question: The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.3 kg. The weight of the new student is
Choices:
21.6 kg
22.4 kg
21 kg
7 Kg
Answer: D
Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
77
12
99
02
Answer: B
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 50% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
Choices:
75%
86%
116%
150%
Answer: B
Question: A certain boxer has agreed to pay his opponent a fee of 4% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $26,250 after weighing in seven pounds over the specified limit, what was the boxer's purse?
Choices:
$105,000
$150,000
$93,750
$1,050,000
Answer: C
Question: In a class of 38 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
Choices:
8
9
12
14
Answer: B
Question: The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 686, Krishan has ?
Choices:
s. 4046
s. 1190
s. 1620
s. 2680
Answer: A
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
6%
9%
2%
Answer: A
Question: A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $32,000 commission, how many machines did she sell?
Choices:
110
105
115
120
Answer: A
Question: An alloy weighing 60 ounces is 20 percent copper. How many ounces of copper must be added to create an alloy that is 60 percent copper?
Choices:
50
60
70
80
Answer: B
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 45% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
10%
15%
35%
30%
Answer: C
Question: A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
Choices:
1
8
11
10
Answer: A
Question: Two cars start from the opposite places of a main road, 105 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
Choices:
38
20
28
21
Answer: B
Question: If N = 2^0.25 and N^b = 8, b must equal
Choices:
3/5
12
5/3
80/3
Answer: B
Question: If $400 is deposited into a savings account at an annual interest rate of 3% that compounds monthly, what is the value of the investment after 8 years?
Choices:
514.23
508.35
536.87
235.87
Answer: B
Question: The wheel of a motorcycle, 70 cm in diameter makes 40 revolutions in every 10 seconds. What is the speed of the motorcycle in km/hr
Choices:
31.68 km/hr
32.68 km/hr
33.68 km/hr
None of these
Answer: A
Question: What is the absolute value of twice the difference of the roots of the equation J= 5y^2 − 20y + 15 = 0 ?
Choices:
1
2
3
4
Answer: D
Question: Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
Choices:
726
1,100
1,320
1,694
Answer: C
Question: 10 is 6% of a, and 6 is 10% of b. c equals b/a. What is the value of c?
Choices:
6/17
9/25
10/33
12/35
Answer: B
Question: At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together?
Choices:
(5 + 5/11 )min past 7
(5 + 5/11 )min past -0
(5 + 7/11 )min past 7
(5 + 5/71 )min past 7
Answer: A
Question: Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on Tuesday. They were very happy. What day of the week would come on 14 Feb. 2010?
Choices:
monday
sunday
wednesday
thursday
Answer: A
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. 84 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 9.2 years and the standard deviation is 3.5 years, what percent of the distribution has more than 12.7 years as a shelf’s average life?
Choices:
19%
20%
21%
22%
Answer: C
Question: If 20 men can build a wall 66 meters long in 6 days, what length of a similar can be built by 86 men in 8 days?
Choices:
49
29
19
None of them
Answer: A
Question: In a tournament, there are n teams T1 , T2 ....., Tn with n > 5. Each team consists of k players, k > 3. The following pairs of teams have one player in common: T1 & T2 , T2 & T3 ,......, Tn − 1 & Tn , and Tn & T1. No other pair of teams has any player in common. How many players are participating in the tournament, considering all the n teams together?
Choices:
n(k-1)
n(k-2)
k(n-2)
(n-1)(k-1)
Answer: A
Question: From the sale of sleeping bags, a retailer made a gross profit of 13% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
Choices:
3.36
24.78
25.0
31.36
Answer: B
Question: A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 70% more recliners. What is the percentage increase of the gross?
Choices:
15%
20%
36%
50%
Answer: C
Question: A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?
Choices:
4056
4156
4567
6532
Answer: A
Question: Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 16 hours respectively. The ratio of their speeds is
Choices:
4:2
4:5
4:3
4:6
Answer: A
Question: Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 40 minutes earlier than usual. How much time did the man spend walking?
Choices:
50 minutes
40 minutes
55 minutes
35 minutes
Answer: B
Question: Difficulty:
There are five sales agents in a certain real estate office. One month Andy sold five as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold five times as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?
Choices:
Bob
Cary
Dora
Ellen
Answer: B
Question: A man can row his boat with the stream at 18 km/h and against the stream in 8 km/h. The man's rate is?
Choices:
5 kmph
7 kmph
8 kmph
3 kmph
Answer: A
Question: In how many ways can be 4 boys and 4 girls sit around circular table so that no two boys sit next to each other?
Choices:
(6!)^2
3!4!
11!
(5!)^2*6!
Answer: B
Question: In a bag, there are three 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?
Choices:
61
64
84
960
Answer: A
Question: If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 40 minutes?
Choices:
100
160
240
300
Answer: B
Question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
5 years
7 years
9 years
15 years
Answer: A
Question: Replace X with the appropriate number in
1 , 2 , 3 , 4 , 7 , 10 , 11 , X
Choices:
12
15
16
18
Answer: A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 182 votes. Find the total number of valid votes?
Choices:
455
480
520
550
Answer: A
Question: Rahim bought 50 books for Rs.1000 from one shop and 40 books for Rs.800 from another. What is the average price he paid per book ?
Choices:
20
27
29
21
Answer: A
Question: By selling a house for Rs.55000, it was found that 1/10 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
38028
38019
47500
Answer: D
Question: Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
Choices:
16.5
14.7
12.5
14.5
Answer: D
Question: If [x] is the greatest integer less than or equal to x, what is the value of [-11.6]+[13.4]+[12.7]?
Choices:
10
13
16
17
Answer: B
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
Choices:
21
29
27
13
Answer: A
Question: A question paper has 2 parts, A & B, each containing 5 questions. If a student has to choose 3 from part A & 4 from part B, in how many ways can he choose the questions?
Choices:
50
152
150
55
Answer: A
Question: The average age of 20 men in the class is 15.6 years. Five new men join and the new average becomes 14.56 years. What was the average age of five new men?
Choices:
15.4
15.25
10.4
15.6
Answer: C
Question: In What proportion must flour at $0.8 per pound be mixed with flour at $0.9 per pound so that the mixture costs $0.865 per pound?
Choices:
1:2
1:1
2:1
3:1
Answer: A
Question: The average number of printing error per page in a book of 512 pages is 4. If the total number of printing error in the first 302 pages is 1,208, the average number of printing errors per page in the remaining pages is
Choices:
4
840
90
80
Answer: A
Question: X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 60 Km/hr. However, he covers the distance from Y to X at an average speed of 36 Km/hr. His average speed during the whole journey in km/hr. is :
Choices:
45
40
38
29
Answer: A
Question: If c and d are unique prime integers, which of the following must be odd?
Choices:
a−2b
2c−2d
2c/2d
c-d
Answer: B
Question: When the positive integer C is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer Dis divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of C-D?
Choices:
24
35
16
30
Answer: B
Question: What is the difference between the compound interests on $5000 for 1 years at 4% per annum compounded yearly and half-yearly?
Choices:
$2.04
$4.80
$8.30
$9.30
Answer: A
Question: Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255
Choices:
19
27
29
31
Answer: B
Question: A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 147 km downstream.
Choices:
5 hours
6 hours
7 hours
8 hours
Answer: C
Question: Find the number of ways of arranging the host and 5 guests at a circular table so that the boy always sits in a particular seat?
Choices:
5!
11!
12!
14!
Answer: A
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Choices:
5
9
11
None of these
Answer: C
Question: The ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 7:5:3. Someone removes 5 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. How many pounds do the electronics in the suitcase weigh?
Choices:
4
5
6
7
Answer: C
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
88
48
99
12
Answer: B
Question: One half of a two digit number exceeds its one third by 5. What is the sum of the digits of the number?
Choices:
A)3
C)7
D)9
E)11
Answer: A
Question: If the price of sugar rises from Rs. 10 per kg to Rs. 13 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
Choices:
20%
23%
30%
none
Answer: B
Question: If x > y^5 > z^6, which of the following statements could be true? I.x=y II. x>y III.x>y>z
Choices:
II only
II,III only
III only
I,III only
Answer: B
Question: Ram, who is half as efficient as Krish, will take 30 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
Choices:
10 days
8 days
6 days
18 days
Answer: A
Question: trisha bakes 6 cookies for 6 friends. 4 of the friend arrive early and eat 3 cookies each. How many cookies are left over if the other friends all have the same number of cookies?
Choices:
0
4
3
1
Answer: A
Question: A can do a piece of work in 12 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in
Choices:
6days
7.5days
8.5days
9days
Answer: A
Question: From the given equation find the value of x: x² − 3x + 2
Choices:
2
4
5
6
Answer: A
Question: Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 4 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
Choices:
7 ≤ n ≤17
5 ≤ n ≤19
6 ≤ n ≤18
9 ≤ n ≤15
Answer: A
Question: The average of five numbers is 18. The average of first two numbers is 14 and the average of last two numbers is 19. What is the middle number?
Choices:
24
29
32
34
Answer: A
Question: About the number of pairs which have 16 as their HCF and 125 as their LCM, the conclusion can be
Choices:
no paid is exists
many such pairs exist
pair exists
None of these
Answer: A
Question: Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
Choices:
12 days
8 days
6 days
18 days
Answer: B
Question: Find the fraction which has the same ratio to 1/13 that 5/34 has to 7/48.
Choices:
120/1547
140/1547
160/1547
220/1547
Answer: A
Question: The measurements obtained for the interior dimensions of a rectangular box are 100 cm by 100 cm by 150cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closes maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements?
Choices:
40,000
45,000
50,000
60,000
Answer: A
Question: At Company X senior sales representatives visit the home office once every 30 days, and junior sales representatives visit the home office once every 20 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
Choices:
25%
33%
50%
67%
Answer: C
Question: In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Choices:
14
36
38
40
Answer: B
Question: A rectangular grass field is 65 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
1971
9676
1679
1250
Answer: D
Question: A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 60 percent.
Choices:
150
175
180
130
Answer: C
Question: How long does a train 250 meters long running at the rate of 72km/hr take to cross a bridge 150 meters in length?
Choices:
20sec
25sec
30sec
35sec
Answer: A
Question: The average length of 6 strings is 80 cm. If the average length of one third of the strings is 70 cm, what is the average of the other strings?
Choices:
85.
90.
94.
100.
Answer: A
Question: A sum of money is distributed among w,x,y,z in the proportion of 1:6:2:4. If X gets $1500 more than Y, what is the W's share?
Choices:
$150
$375
$200
$450
Answer: B
Question: A manufacturer of a certain product can expect that between 0.3 percent and 0.5 percent of the units manufactured will be defective. If the retail price is $2,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 10,000 units?
Choices:
Between $30,000 and $50,000
Between $75,000 and $125,000
Between $150,000 and $250,000
Between $300,000 and $500,000
Answer: B
Question: On the x-y coordinate plane there is a parabola, y=x(4-x). Which of the following points is in the region that is enclosed by this parabola and the x-axis?
I. (1, 2) II. (2, 5) III. (3, 2)
Choices:
II only
III only
I and III
I, II, and III
Answer: C
Question: If n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2^k is a factor of n?
.
Choices:
12
15
18
20
Answer: C
Question: The sum of the ages of 4 children is 52 years. The age of the youngest child is 4. If the intervals of years each born is same find the interval?
Choices:
8
10
6
Cannot be determined
Answer: C
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Choices:
20 m
40 m
30 m
40 m
Answer: A
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 72 km/hr
Choices:
5 seconds
3.5 seconds
2.5 seconds
2.6 seconds
Answer: A
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Choices:
22000
23090
24000
30000
Answer: D
Question: Find the value of y 9^y = 3^12, what is y?
Choices:
4
5
7
6
Answer: D
Question: The weight of an iron bucket increases by 33.33% when filled with water to 50% of its capacity. Which of these may be 50% of the weight of the bucket when it is filled with water( assume the weight of bucket and its capacity in kg to be integers?
Choices:
6 kg
5 kg
8 kg
18 kg
Answer: B
Question: The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 61.5. When one student dropped the class, the average of the remaining scores increased to 64.0. What is the quiz score of the student who dropped the class?
Choices:
b) 24
c) 40
d) 55
e) 70
Answer: A
Question: 18! is equal to which of the following?
Choices:
6,402,373,705,728,216
6,402,373,705,728,624
6,402,373,705,728,000
6,402,373,705,728,989
Answer: C
Question: A straight pipe 1 meter in length was marked off in halves and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a meter?
Choices:
1/6 and 1/3 only
1/6, 1/4, and 1/3
1/12, 1/6 and 1/4
1/12, 1/6, and 1/3
Answer: A
Question: A shopkeeper sold an article for 500 after giving 10% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’?
Choices:
33.33%
23%
28%
None of these
Answer: A
Question: Which of the following fractions is greater than 1/3 and less than 1/5?
1.1/3 2. 1/5 3. 1/2 4. 2/3 5. 4/5 6. 9/10
Choices:
1/3
1/4
1/9
1/8
Answer: B
Question: When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.25, what is the value of y?
Choices:
75
36
25
12
Answer: B
Question: Which is the middle even number between 5 and 15?
Choices:
10
25
30
42
Answer: A
Question: Meera purchased two three items from a shop. Total price for three items is Rs.5200/- She have given Rs. 7000/- What is the balance amount meera got?
Choices:
400
1350
1800
1750
Answer: C
Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
75
27
25
29
Answer: A
Question: What is the product of all the prime factors of 14?
Choices:
12
14
11
10
Answer: B
Question: The G.C.D of 1.2, 0.36 and 0.9 is
Choices:
0.1
0.06
0.11
0.12
Answer: B
Question: You collect pens. Suppose you start out with 25. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?
Choices:
40
41
75
43
Answer: C
Question: On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 47 centimeters assuming that 1-inch is 2.54 centimeters?
Choices:
212
288.1
296
282.4
Answer: C
Question: The rear–most end of a 66 foot truck exits a 330 foot tunnel exactly 6 seconds after the front–most end of the truck entered the tunnel. If the truck traveled the entire tunnel at a uniform speed, what is the speed of the truck in miles per hour (1 mile = 5,280 feet)?
Choices:
90
45
37.5
27
Answer: B
Question: What will be the reminder when (1234567890123456789)^24 is divided by 6561 ?
Choices:
0
2
3
4
Answer: A
Question: A bag contains 4 white marbles and 4 black marbles. If each of 4 girls and 4 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
Choices:
1/35
1/10
1/20
1/30
Answer: A
Question: A 2000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely?
Choices:
12
18
24
48
Answer: A
Question: Joe can clean the house in 4 hours. Cindy can clean the house in 3 hours. How many hours will it take for both of them working together to clean the house?
Choices:
2 5/7
2 1/5
1 5/7
3 1/2
Answer: C
Question: The speed of a car is 145 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
92 kmph
75 kmph
102.5 kmph
77 kmph
Answer: C
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
130
132
143
145
Answer: B
Question: Two trains are moving in the same direction at 144 kmph and 72 kmph. The faster train crosses a man in the slower train in 19 seconds. Find the length of the faster train?
Choices:
340
360
380
400
Answer: C
Question: Village A	Village B	Village C	Village D	Village E	Village F ;
Village A
Village B
Village C
Village D
Village E
Village F
In the table above, what is the least number of table entries that are needed to show the mileage between each Village and each of the other five Villages?
Choices:
15
18
20
22
Answer: A
Question: Myra drove at an average speed of 30 miles per hour for T hours and then at an average speed of 60 miles/hr for the next T hours. If she made no stops during the trip and reached her destination in 2T hours, what was her average speed in miles per hour for the entire trip?
Choices:
The average speed is 45 miles per hour.
The average speed is 48 miles per hour.
The average speed is 50 miles per hour.
The average speed is 55 miles per hour.
Answer: A
Question: If a,b and c are consecutive positive integers and a>b>c. What can be the value of (a^2-b^2)(b^2-c^2)?
Choices:
79
143
231
450
Answer: B
Question: The number N is 5,1H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?
Choices:
3
8
7
9
Answer: B
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
9
12
21
35
Answer: A
Question: A certain bus driver is paid a regular rate of $20 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1000 in total compensation, how many total hours did he work that week?
Choices:
46
44
48
49
Answer: A
Question: If a and b are odd integers, which of the following is an even integer?
Choices:
2ab-b
2ab+a+b
2ab+2a+b
2ab+2a+3b
Answer: B
Question: How many digits are required to number a book containing 260 pages?
Choices:
672
492
372
300
Answer: A
Question: In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
Choices:
20
30
43
50
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 40 seconds. Its length is?
Choices:
876 m
251 m
100 m
145 m
Answer: C
Question: A bag contains 12white and 18black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
32/145
36/147
None
Answer: A
Question: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 9 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
Choices:
5y
6y
17y
9y
Answer: C
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current ?
Choices:
3.2 kmph
1.5 kmph
2 kmph
2.5 kmph
Answer: B
Question: Sachin is younger than Rahul by 7 years. If the ratio of their ages is 6:9, find the age of Sachin
Choices:
14
24.21
27
25
Answer: A
Question: The proportion of water to alcohol in Solution A is 5:4 and the proportion of water to alcohol in Solution B is 6:5. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
Choices:
41.9%
42.9%
43.9%
44.9%
Answer: D
Question: A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
Choices:
7hours 75 mins
8 hours
5 hours
6 hours
Answer: A
Question: Two goods trains each 850 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
81.6 sec
48 sec
18.3 sec
9.32 sec
Answer: A
Question: Sujit incurred a loss of 45% on selling an article for Rs.3850/-. What was the cost price of the article?
Choices:
Rs.5080/-
Rs.6250/-
Rs.7000/-
None of these
Answer: C
Question: The sum of the ages of 4 children born at the intervals of 3 years each is 36 years. what is the age of the youngest child ?
Choices:
18
4.5
99
38
Answer: B
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.5000?
Choices:
1655
2776
2997
2718
Answer: A
Question: Can you find the missing number in the sequence given below?
10 18 26 11 19 ? 12 20 28 13 21 29
Choices:
23
20
27
19
Answer: C
Question: 2,5,12,31,81,__
Choices:
211
213
214
215
Answer: B
Question: A rectangle PRSU, is divided into two smaller rectangles PQTU, and QRST by the line TQ. PQ = 10 cm. QR = 5 cm and RS = 10 cm. Points A, B, F are within rectangle PQTU, and points C, D, E are within the rectangle QRST. The closest pair of points among the pairs (A, C), (A, D), (A, E), (F, C), (F, D), (F, E), (B, C), (B, D), (B, E) are 10 3 cm apart.
Which of the following statements is necessarily true?
Choices:
Distance between A and B is greater than that between F and C.
The closest pair of points among the six given points is (C, D), (D, E), or (C, E).
none of the above
Cannot be determined
Answer: C
Question: If |x + 2| = 10, what is the sum of all the possible values of x?
Choices:
-13
-4
-2
12
Answer: B
Question: How many Q ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
Choices:
6P4
4^6
6^4
6!
Answer: B
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age
Choices:
15
20
22
23
Answer: A
Question: A clock is set right at 1 p.m. If it gains one minute in an hour, then what is the true time when the clock indicates 6 p.m. in the same day?
Choices:
55 5⁄61 minutes past 5
5 minutes to 6
59 1⁄64 minutes past 5
None of these
Answer: A
Question: what is the smallest integer that is multiple of 5,7,8
Choices:
B)35
C)200
D)280
E)140
Answer: C
Question: 25% of the total cost of a plot of area 280 sq.ft. is Rs.132370. What is the rate per sq.ft of the plot?
Choices:
Rs.1891
Rs.1981
Rs.1991
None of these
Answer: A
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Ingrid bake?
Choices:
1.25%
31.7%
125%
0.152%
Answer: B
Question: X and Y started a business investing Rs. 50,000 and Rs 40,000 respectively. In what ratio the profit earned after 2 years be divided between X and Y respectively?
Choices:
9:2
5 : 4
1:4
18:4
Answer: B
Question: A man whose bowling average is 12.4, takes 8 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Choices:
174
175
176
177
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
8 %
5 5/11%
11 %
5%
Answer: B
Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?
Choices:
22
42
41
74
Answer: C
Question: If x/|y| = 1 which of the following must be true?
Choices:
x = y
x = y^2
x^2 = y^2
x^3 = y^3
Answer: C
Question: Two sacks together contained 40 kilograms of sugar. If after 1 kilogram of sugar was taken from the first sack and poured into the second the weight of the sugar in the first sack became 60% the weight of the sugar in the second, what was the original difference in the weights of the sacks?
Choices:
6
8
10
12
Answer: B
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $60,000. 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:
$26,400
$12,000
$12,800
$13,200
Answer: A
Question: If |5x-30| = 100, then find the sum of the values of x?
Choices:
-2
12
-3
4
Answer: B
Question: A and B start walking towards each other at 5am at speed of 4kmph and 8kmph. They were initially 36km apart. At what time do they meet?
Choices:
8am
7am
10am
8pm
Answer: A
Question: a number divided by 44 leaves remainder 17 what is the remainder when same number divided by 8
Choices:
5
9
10
11
Answer: A
Question: Health insurance Plan Q requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choices:
$1000
$3800
$5300
$6200
Answer: A
Question: A 300 meter long train crosses a plaƞorm in 39 seconds while it crosses a signal pole in 18 seconds.
What is the length of the plaƞorm.
Choices:
335 meter
345 meter
350 meter
None of these
Answer: C
Question: It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
12
(2^96+1)
24
4^4+6
Answer: B
Question: Evaluate: 50 - 12÷4×2 =
Choices:
44
16
27
30
Answer: A
Question: I sold a book at a profit of 10%. Had I sold it for $120 more, 15% would have been gained. Find the cost price?
Choices:
$2500
$2400
$3120
$1540
Answer: B
Question: In how many ways can the letters of the word ABROAD be rearranged such that the vowels always appear together?
Choices:
3!*3!
4!/2!
4! *(3!/2!)
3!*3!/2
Answer: C
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 690, what is the least possible value of n?
Choices:
11
12
13
23
Answer: D
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
15000
15029
15329
15012
Answer: A
Question: In how many ways letters of the word RSCUPERATE be arranged?
Choices:
654326
865453
545778
302400
Answer: D
Question: A cistern is filled by pipe A in 10 hours and the full cistern can be leaked out by an exhaust pipe B in 15 hours. If both the pipes are opened, in what time the cistern is full?
Choices:
30hrs
70hrs
80hrs
90hrs
Answer: A
Question: For integers x and y, if 91x = 8y, which of the following must be true?
I. y > x
II. y/7 is an integer
III. The cube root of x is an integer
Choices:
II only
III only
I and II
II and III
Answer: D
Question: The length of rectangle is thrice its breadth and its perimeter is 88 m, find the area of the rectangle?
Choices:
376
299
276
396
Answer: D
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Choices:
24 days
22 days
27 days
21 days
Answer: A