antoine-444/aqua_rat_dataset huggingface dataset:
Question: 100 identical coins each with probability 'pp' showing up heads & tossed. If 0<p<10<p<1 and the probabilityof heads showing on 50coins is equal tothat of heads on 51 coins, then the value of pp is?
Choices:
53/103
51/101
65/101
89/101
Answer: B
Question: All of the stocks on the over-the-counter market are designated by either a 7-letter or a 6-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
b. 26(26^4)
c. 27(26^4)
d. 27(26^6)
e. 27(26^5)
Answer: C
Question: A certain junior class has 1,000 students and a certain senior class has 400 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
Choices:
3/20,000
9/2,000
1/60
1/15
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. 52000, then the share of B is?
Choices:
Rs.24090
Rs.24000
Rs.24006
Rs.24202
Answer: B
Question: If a and b are positive integers such that a – b and a/b are both even integers, which of the following must be an odd integer?
Choices:
b/2
b/2
(a+b)/2
(b+2)/2
Answer: C
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
299
266
450
291
Answer: C
Question: If x is an integer, and 196 < x^2 <= 361, which of the following is the sum of all possible values of x?
Choices:
124
116
105
None of the above
Answer: D
Question: A = {2, 3, 5, 7, 17}
B = {2, 4, 6, 13}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
Choices:
16
19
20
36
Answer: D
Question: The numbers 272738 and 232342, when divided by n, a two digit number, leave a remainder of 13 and 17 respectively. Find the sum of the digits of n?
Choices:
7
9
4
5
Answer: A
Question: Two letters from the word KYANTKAR are selected at random. What is the probability that at least one of the selected letters is a consonant?
Choices:
15/28
27/28
16/28
30/28
Answer: B
Question: In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 95% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?
Choices:
3%
2.5%
4%
6%
Answer: A
Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
Choices:
Rs. 160
Rs. 200
Rs. 225
Rs. 325
Answer: B
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 68 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
20
35
40
55
Answer: A
Question: What is the 10th digit of (5!*4!*4! - 5!*4!*3!)/2880?
Choices:
1
6
7
8
Answer: A
Question: How many trailing zeroes would be found in 4617!, upon expansion?
Choices:
1151
1152
1153
1154
Answer: A
Question: A store has 10 bottles of juice, including 6 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 2 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
Choices:
1/12
1/14
1/18
1/21
Answer: B
Question: fill in ht blank:(a) the point with coordinates (0,0) is called ____ of a rectangular ____ system,(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___
Choices:
(a) the point with coordinates (0,0) is called end of a rectangular line system, (b) to find the y-intercept of a line, we let x equal 0 and solve for x ; to find x- intercept , we let y equal 0 and solve for y
(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let y equal 0 and solve for z ; to find x- intercept , we let x equal 0 and solve for y
(a) the point with coordinates (0,0) is called end of a rectangular end system, (b) to find the y-intercept of a line, we let z equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x
none of the above
Answer: D
Question: At what time between 2 and 3 o'clock will the hands of a clock be together?
Choices:
10x10/11
11x10/11
12x10/11
None
Answer: A
Question: Goldenrod and No Hope are in a horse race with 6 contestants. How many different W arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Choices:
360
120
24
21
Answer: A
Question: Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
Choices:
40
99
277
28
Answer: A
Question: In a stack of boards at a lumber yard, the 25th board counting from the top of the stack is immediately below the 15th board counting from the bottom of the stack. how many boards are in the stack?
Choices:
38
35
34
32
Answer: A
Question: The wages earned by Robin is 20% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much percent is the wages earned by Charles more than that earned by Robin?
Choices:
33%
30%
50%
100%
Answer: A
Question: Johnny travels a total of one hour to and from school. On the way there he jogs at 6 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour. How far is it to the school?
Choices:
4 miles
4.8 miles
9.2 miles
10 miles
Answer: C
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Choices:
36
49
144
196
Answer: B
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
Choices:
88
77
14
17
Answer: C
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Choices:
268
287
480
281
Answer: C
Question: A parking space have 8 different slots. 8 cars has to arrange in 8 slots. But there are exactly 4 cars between 4 specified cars. In how many ways cars can be arranged?
Choices:
650
576
1640
1440
Answer: B
Question: A train 150 m long crosses a platform 100 m long in 10 sec; find the speed of the train?
Choices:
70
95
90
85
Answer: C
Question: Tom drives from town T to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between T and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
Choices:
20
24
30
36
Answer: A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
267
176
100
981
Answer: C
Question: In a hostel there were 100 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Choices:
B)Rs.5480
C)Rs.5400
D)Rs.5900
E)Rs.3900
Answer: D
Question: If two men starting from same point, walking in the opposite directions with 9km/hr and 11km/hr as average speeds respectively. Then the distance between them after 8 hours is?
Choices:
160
610
155
165
Answer: A
Question: The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is?
Choices:
27
18
19
11
Answer: B
Question: 5,6,8,11,?,20,26,33
Choices:
13
15
8
19
Answer: B
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
Rs.7268
Rs.6871
Rs.6150
Rs.6381
Answer: C
Question: 20 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Choices:
6
4
7
5
Answer: D
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
31
32
38
40
Answer: A
Question: If |x|/6 < 1, which of the following must be true?
Choices:
x<6
x=6
x=12
x=-12
Answer: A
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 140?
Choices:
6
28
42
70
Answer: B
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Choices:
56 min
13 min
20 min
19 min
Answer: C
Question: A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But
whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11
mornings and 12 afternoons. How many days did they stay there totally?
Choices:
18
20
13
14
Answer: A
Question: Mixture A is 15 percent alcohol, and mixture B is 50 percent alcohol. If the two are poured together to create a 4-gallon mixture that contains 30 percent alcohol, approximately how many gallons of mixture A are in the mixture?
Choices:
1.7
2.3
2.5
3.0
Answer: B
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
22 6/7%
72 6/7%
42 6/7%
12 6/7%
Answer: C
Question: If the remainder is 8 when positive integer n is divided by 12, what is the remainder when n is divided by 6?
Choices:
1
2
3
4
Answer: B
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180 m
185 m
170 m
190 m
Answer: A
Question: A and B start a business with Rs.5000 and Rs.7000 respectively. How should they share their profits at the end of one year?
Choices:
3:4
5:7
3:2
3:9
Answer: B
Question: In the quadratic equation ax2 - x - 12 = 0, if the sum of two roots is 1, what is the product of the two roots?
Choices:
-12
12
6
24
Answer: A
Question: A straight line is formed using two points A(3,3) and B(6,6). Another point P(x,y) lies between A and B such that AP/BP = 5. What are the coordinates of P?
Choices:
(7/2, 7/2)
(9/2, 9/2)
(11/2, 11/2)
(15/2, 15/2)
Answer: C
Question: Company M produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company M last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Choices:
4/22
3/22
9/22
7/22
Answer: D
Question: A factory produces 5500 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choices:
1375 toys
1543 toys
1212 toys
1598 toys
Answer: A
Question: A 6 litre sol is 40% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ?
Choices:
B.1.2
C.2.1
D.3
E.5.4
Answer: A
Question: The average age of 44 students in a group is 12 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Choices:
None of these
55
56
57
Answer: D
Question: The fourth proportional to 5, 8, 15 is:
Choices:
24
23
16
None
Answer: A
Question: The greatest common factor of positive integers m and n is 15. What is the greatest common factor of (2m^2, 2n^2)?
Choices:
30
150
450
900
Answer: C
Question: What number has a 5:1 ratio to the number 10?
Choices:
50
17
12
18
Answer: A
Question: In a dairy farm, 34 cows eat 34 bags of husk in 34 days. In how many days one cow will eat one bag of husk ?
Choices:
34 days
46 days
50 days
None of these
Answer: A
Question: It costs $2 for the first 1/5 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 2 hours and 15 minutes, how much will it cost him?
Choices:
$26.
$29.
$30.
$31.
Answer: B
Question: x, y, and z are all unique numbers. If x is chosen randomly from the set {10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?
Choices:
3/20
1/8
3/10
1/10
Answer: B
Question: Debini normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Debini averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
Choices:
105
95
75
45
Answer: C
Question: In 1985, 45 percent of a document storage facility's 60 customers were banks, and in 1987, 25 percent of its 144 customers were banks. What was the percent increase from 1985 to 1987 in the number of bank customers the facility had?
Choices:
20%
25%
33 1/3
58 1/3
Answer: C
Question: A sum fetched total simple interest of 4016.25 at the rate of 12 p.c.p.a. in 5 years. What is the sum?
Choices:
6693.75
4462.5
8900
None of these
Answer: A
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
242km
224km
112km
115km
Answer: B
Question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
4 sec
6 sec
20 sec
8 sec
Answer: A
Question: A man buys an article for $100. and sells it for $130. Find the gain percent?
Choices:
15%
25%
20%
30%
Answer: D
Question: There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Choices:
45
50
55
65
Answer: D
Question: Simplify the following equation
[(p - q)2 - (p + q)2] / 4p = b/a
Choices:
q b = a
a q = b
a q = -b
None of these
Answer: C
Question: A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?
Choices:
18/145
35/120
36/145
40/145
Answer: C
Question: The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $62,500, how much profit did the business make?
Choices:
$100,000
$150,000
$200,000
$250,000
Answer: A
Question: A thief steals at a car at 3.00 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Choices:
3 p.m
4 p.m
5.30 p.m
6 p.m
Answer: C
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
Choices:
1/9
1/5
1/1
1/3
Answer: B
Question: A bookseller has two display windows. She plans to display 5 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Choices:
72
720
336
420
Answer: B
Question: From the starting point in a boat race, one competitor started to sail north at a speed of 1.1 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
Choices:
8.1
12.5.
14.
15.4.
Answer: A
Question: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability W that 3 of Sam’s 4 funds grew by at least 10% over last year?
Choices:
6C3 * 4C1 / 10C4
6C3 * 4C1 / 10P4
6P3 * 4P1 / 10C4
6P3 * 4P1 / 10P4
Answer: A
Question: D, B, C are three consecutive positive integers (D>B>C). What is the value of the expression 2D +B +3C?
Choices:
5A+1.
5A-1.
6A-5.
6D-7.
Answer: D
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 5 different offices?
Choices:
6
7
25
9
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 36 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
799
300
750
712
Answer: B
Question: The operation # is defined for all nonzero f and y by f#y = f + f/y. If a>0, then 1#(1#a) =
Choices:
a+1
a/(a+1)
(a+2)/(a+1)
(2a+1)/(a+1)
Answer: D
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 10 months, find for how much time did Q invest the money?
Choices:
10
20
16
12
Answer: B
Question: In triangle PQR, the angle Q = 90 degree, PQ = 4 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ
Choices:
2.4 cm
4.8 cm
2.16 cm
3.2 cm
Answer: D
Question: Insert the missing number
..., 4, 8, 16, 32, 64, 128, 256
Choices:
5
2
3
8
Answer: B
Question: 20 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Choices:
34.01
26.32
28.33
19.21
Answer: C
Question: Mixture V is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture V, how many kilograms of mixture V must be added to make a 70% material B in the new mixture?
Choices:
A)6
C)8
D)9
E)10
Answer: A
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Choices:
10, 5
12, 7
11, 6
14, 3
Answer: B
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
Choices:
10 : 5
15 : 2
20 : 2
25 : 2
Answer: D
Question: What is the next number of the following sequence
1,3,4,5,1,9,16...
Choices:
25
16
17
18
Answer: A
Question: If a certain sample of data has a mean of 22.0 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
14.5
23.5
26.5
Answer: B
Question: It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn
Choices:
90
36
45
20
Answer: D
Question: If x≠2 and (x^2 - 4)/(2y) = (x - 2)/4, then in terms of y, x = ?
Choices:
(y - 3)/2
(y - 4)/2
y - 6
(y + 6)/2
Answer: B
Question: A man buys 54 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
Choices:
7.7 %
16.21 %
13.6 %
7.8 %
Answer: B
Question: A motorist travel to a place 150 km away at an average speed of 60 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
Choices:
37 km/hr
40 km/hr
44 km/hr
None of these
Answer: B
Question: Potatoes are made up of 99% water and 1% potato matter. Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh?
Choices:
50 lb
90 pounds
100 pounds
60 pounds
Answer: A
Question: A room of 6m 20cm long and 5m 74cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Choices:
87700
88970
88000
89000
Answer: B
Question: John has 5 flavors of chocolate in him shop. How many options are there for Jones to pick a one-flavor, two-flavor, three-flavor, four-flavor or five-flavor order?
Choices:
31
43
37
38
Answer: A
Question: A movie buff owns movies on DVD and on Blu-ray in a ratio of 7:2. If she buys 5 more Blu-ray movies, that ratio would change to 13:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?
Choices:
28
77
99
351
Answer: D
Question: A car covers a distance of 630 km in 6 ½ hours. Find its speed?
Choices:
105 kmph
298 kmph
186 kmph
268 kmph
Answer: A
Question: What will be the compound interest on Rs. 35000 after 3 years at the rate of 12 % per annum
Choices:
Rs 14103.48
Rs 12172.48
Rs 14172.48
None of these
Answer: C
Question: If X boxes of mango juice cost 250 cents, how much will Y boxes cost in dollars?
Choices:
Y*2.6/x
2Y*2.5/x
Y*2.5/x
3Y*2.5/x
Answer: C
Question: root X+3=X root X+3 how many solution???
Choices:
2
3
4
5
Answer: B
Question: If xy=25, x/y=36, for positive numbers x and y, y=?
Choices:
2
1/3
3
5/6
Answer: D
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Choices:
12
14
16
19
Answer: A
Question: Five kids were sharing out a box of candies. Amar took one-third, Babu took one-quarter,Chetan took one-fifth, and Dinakar took one-sixth. That left six candies as Shiva's share. Howmany candies were altogether?
Choices:
120
140
160
180
Answer: A
Question: Suresh borrowed some money at the rate of 12% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?
Choices:
s.6000
s.6800
s.9000
s.7000
Answer: B
Question: a batmans runs just before the last match of the season adds up750 in his last two innings his scores only 6 scores and his avg drop by 2 fond his final avg of the season?
Choices:
22
23
24
25
Answer: B
Question: What is the sum of the different positive prime factors of 880?
Choices:
10
15
18
21
Answer: C
Question: There are two positive numbers in the ratio 7:11. If the larger number exceeds the smaller by 16, then find the smaller number?
Choices:
26
30
24
28
Answer: D
Question: If x is divisible by 3 and 4, which of the following must divide evenly into x?
I. 2
II. 38
III. 41
Choices:
I only
II​ and III
II​ only
I, II, and III
Answer: A
Question: X can give Y 100 meters start and Z 200 meters start in X kilometer race. How much start can Y give Z in X kilometer race?
Choices:
216.3m
111.12m
213.27m
222.40m
Answer: B
Question: Find the smallest number of 6 digits which is exactly divisible by 111.
Choices:
100011
101111
201111
211111
Answer: A
Question: What is the product of all the possible values of x if x^2+5x+6?
Choices:
18
15
6
9
Answer: C
Question: A goods bullet train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 seconds. What is the length of the goods bullet train?
Choices:
250m
280m
210m
270m
Answer: D
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive
Choices:
381
900
287
271
Answer: B
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
22 ½ days
23 ½ days
12 ½ days
None of these
Answer: A
Question: the average weight of four pigs is 15 kg.weight less than 16 kg is considered as under weight.what maximum no. of pig can be under weight.
Choices:
1
2
3
4
Answer: D
Question: Which of the following must be non-negative?
Choices:
(a+1)(a-1)
(a+0.9)(a+1)
(a-0.9)(a-0.9)
a(a+1)
Answer: C
Question: There are 10 baskets numbered from 1 to 10 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
Choices:
390
450
510
570
Answer: B
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?
Choices:
10 kmph
12 kmph
14 kmph
16 kmph
Answer: B
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?
Choices:
12
8
15
16
Answer: A
Question: If n > 0 , which of the following must be true?
I n^2 < 1
II	n - n^2 < 0
III	2n - 1 < 0
Choices:
II only
III only
I and II only
none
Answer: A
Question: A certain junior class has 1000 students and a certain senior class has 900 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
Choices:
2/30000
9/2000
1/60
1/15
Answer: A
Question: What is the probability that Company E's advertisement will be one of the first two be shown during the first commercial break?
Choices:
1 / 30
1 /15
2 / 15
4 /15
Answer: C
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 2/9%
11 1/9%
10%
9%
Answer: B
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, ?, 1
Choices:
2
5
7
9
Answer: A
Question: The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. What is the time?
Choices:
6 months
7 months
8 months
4 months
Answer: D
Question: When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 8x is divided by 9?
Choices:
1
3
4
6
Answer: C
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
131
132
143
145
Answer: B
Question: Pipe A can fill a tank in 10 hours. Due to a leak at the bottom, it takes 15 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
84
56
75
30
Answer: D
Question: If 4 men can reap 40 acres of land in 15 days, how many acres of land can 16 men reap in 30 days?
Choices:
320
369
489
125
Answer: A
Question: Excluding stoppages, the speed of a bus is 48 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
4.15
4.25
5.5
None of these
Answer: A
Question: A retailer bought a machine at a wholesale price of $117 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
Choices:
100
120
135
159
Answer: D
Question: Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 10% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?
Choices:
$17,820
$18,000
$19,800
$18,810
Answer: D
Question: The denominator of a fraction is 15 greater than the numerator. If the numerator and the denominator are increased by 3, the resulting fraction is equal to 3â„4. What is the value of the original fraction?
Choices:
29/44
33/48
38/53
42/57
Answer: D
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
42
62
20
87
Answer: C
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
Choices:
45 kg
53 kg
55 kg
None
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1700. The difference between the profit shares of A and C is?
Choices:
266
155
680
441
Answer: C
Question: A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. B's contribution in the capital is
Choices:
8000
9000
10000
None of these
Answer: B
Question: How much is 80% of 40 is greater than 4/5 of 15?
Choices:
20
18
12
81
Answer: A
Question: On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 3?
Choices:
1/8.
1/5.
3/8.
1/3.
Answer: A
Question: An inspector rejects 0.06% of the meters as defective. How many will he examine to reject 2?
Choices:
B)2000
C)2500
D)3000
E)3333
Answer: D
Question: A boat running upstream takes 640 min to cover a certain distance, while it takes 280 min to cover the same distance running down stream. What is the ratio between the speed of the boat and speed of water current respectively?
Choices:
22: 9
23: 8
23: 9
23: 11
Answer: C
Question: A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 78 runs, thereby increasing his average by 6 runs. His new average is
Choices:
18 runs
48 runs
42 runs
46 runs
Answer: A
Question: What is the greatest value of positive integer x such that 2^x is a factor of 100^90?
Choices:
180
140
150
120
Answer: A
Question: For dinner, Cara ate 240 grams of bread which was eight times as much bread as she ate for lunch, and six times as much bread as she ate for breakfast. How much bread did Cara eat in total?
Choices:
310
320
330
340
Answer: A
Question: Solution X contains 20% of material A and 80% of material B. Solution Y contains 30% of material A and 70% of material B. A mixture of both these solutions contains 22% of material A in the final product. how much solution X is present in the mixture?
Choices:
60%
80%
100%
110%
Answer: B
Question: A number of two digits has 3 for its unit’s digit, and the sum of digits is 1/7 of the number itself. The number is
Choices:
63
73
53
83
Answer: A
Question: A can do a job in 5 days and B can do it in 15 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
22 ½ days
23 ½ days
12 ½ days
7 ½ days
Answer: D
Question: Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90° or concave if the internal angle is 270°.
If the number of convex corners in such a polygon is 25, the number of concave corners must be
Choices:
10
21
22
23
Answer: B
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.4
1.1
1.5
1.2
Answer: C
Question: For any positive integer n, n>1, the "length" of n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 3, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Choices:
9
8
7
6
Answer: A
Question: A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?
Choices:
2
3
4
5
Answer: C
Question: The number 49 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
11
15
14
13
Answer: A
Question: From the set of numbers {t, v, w, x, y, z}, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x)
Choices:
15
16
31
32
Answer: C
Question: Two goods trains each 720 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:
88 sec
48 sec
18 sec
72 sec
Answer: D
Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Choices:
2 days
6 days
8 days
9 days
Answer: B
Question: 325^325/125^n
Choices:
216
343
481
625
Answer: A
Question: An amount of Rs.1,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
Choices:
2697
250
5000
6971
Answer: B
Question: The sum of first 45 natural numbers is?
Choices:
1000
1035
1040
1045
Answer: B
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:
1219
1210
1211
1212
Answer: B
Question: A bus can hold 72 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
Choices:
8
10
6
12
Answer: C
Question: In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 36% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
Choices:
65.80%
68.57%
69.57%
none of these
Answer: A
Question: For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2.
What is the sum of all the even integers between 99 and 191?
Choices:
5560
6670
7780
8890
Answer: B
Question: If s is a number such that –2 ≤ s ≤ 2, which of the following has the largest possible absolute value?
Choices:
3s – 1
3 – x
x – 3
x^2 – x
Answer: A
Question: Each child has 4 pencils and 13 Skittles. If there are 8 children, how many pencils are there in total?
Choices:
12
18
22
32
Answer: D
Question: A portion of the 80% solution of chemicals was replaced with an equal amount of 20% solution of chemicals. As a result, 50% solution of chemicals resulted. What part of the original solution was replaced?
Choices:
1/2
1/4
1/5
1/6
Answer: A
Question: Replace the question mark with the correct number in the series
60 40 40 43 20 46 0 49 ?
Choices:
-20
40
-10
-30
Answer: A
Question: 108.	Triangle A’s base is 9% greater than the base of triangle B, and A’s height is 9% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
Choices:
1 % less
Equal to each other
1.3 % more
9 % more
Answer: C
Question: Find the missing in the series: 70, 56, 45, 41,___
Choices:
287
2679
276
2771
Answer: C
Question: If S and T are positive integers, and the remainder obtained when S is divided by T is the same as the remainder obtained when T is divided by S, which of the following is a possible value of ST?
Choices:
64
42
36
24
Answer: A
Question: All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Who is the mother of B ?
Choices:
V
R
A
T
Answer: C
Question: A cubical block of metal weighs 3 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Choices:
32
24
18
12
Answer: B
Question: If a, b, t are integers, 33 = abt, and a < b < t, what is the smallest possible value of a?
Choices:
-33
1
3
11
Answer: A
Question: For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.
Choices:
18
27
36
45
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ?
Choices:
2 : 1
2 : 3
3 : 2
1 : 2
Answer: C
Question: The ratio between the speeds of two trains is 5: 6 If the second train runs 540 kms in 6 hours, then the speed of the first train is
Choices:
60 km/h
45 km/h
80 km/h
75km/h
Answer: D
Question: If -1 < h < 3, which of the following has the greatest value?
Choices:
b) 1+h
c) 1+h^2
d) 1-1/h
e) 1-1/(h^2)
Answer: A
Question: A hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 18 kilometers per hour. The cyclist stops and waits for the hiker 5 minutes 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:
12.5
17.5
22.5
27.5
Answer: B
Question: A bag holds 4 red marbles and 4 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
Choices:
1/5
3/14
2/7
1/2
Answer: B
Question: If goods be purchased for $840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
30 2/3%
33 1/3%
38 1/2%
40 1/3%
Answer: B
Question: Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?
Choices:
9 min
4 min
9 min
1 min
Answer: A
Question: A 9% stock yields 8%.The market value of the stock is :
Choices:
Rs. 92
Rs. 112.50
Rs. 116.50
None of these
Answer: B
Question: A whale goes on a feeding frenzy that lasts for 9 hours. For the first hour he catches and eats x kilos of plankton. In every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton, how many kilos did he consume on the sixth hour?
Choices:
47
50
53
62
Answer: C
Question: There is a 10% chance that Tigers will not win at all during the whole season. There is a 10% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season?
Choices:
B)60%
C)70%
D)72%
E)90%
Answer: D
Question: A man whose speed is 6 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
5.6
6
9
3
Answer: A
Question: A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in?
Choices:
8
6
12
10
Answer: A
Question: The contents of a bag of marbles consist of 12 green marbles and 20 blue marbles. How many blue marbles must be removed so that 40% of the marbles in the bag will be green?
Choices:
1
2
3
4
Answer: B
Question: What will come in place of the x in the following Number series? 25, 100, 400, X, 6400
Choices:
6900
1600
7500
7900
Answer: B
Question: A boat goes 150 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
22 1/4
22 1/2
22 1/1
5
Answer: D
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -.
Choices:
1/26
15/26
11/26
1/13
Answer: A
Question: (7/10^2)*(8/10^2)*(6/10^2)=?
Choices:
0.000336
0.0336
0.00337
0.00336
Answer: A
Question: How many multiples of 10 are there between 100 and 10000 (both are inclusive)?
Choices:
789
991
1020
1100
Answer: B
Question: A man can row upstream at 7 kmph and downstream at 10kmph.find man’s rate in still water and the rate of current.
Choices:
1.5 km/hr
1.5 km/min
0.5 km/hr
1.75 km/hr
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 15 seconds. The speed of the train is?
Choices:
35
88
22
12
Answer: A
Question: 11 persons are sittingin a row. how many ways can 11 persons be arranged in a row such that 3 persons should always be together?
Choices:
10!×1!
9!×3!
8!×2!
6!×3!
Answer: B
Question: The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short.
Choices:
40
50
70
80
Answer: A
Question: The average age of 30 students in a class is 15 years. If the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
Choices:
46
43
39
54
Answer: A
Question: In a certain office 1/3 of the workers are women ½ of the women are married and 1/3 of the married women have children if ¾ of the men are married and 2/3 of the married men have children what part of workers are without children?
Choices:
11/18
13/18
10/18
None of them
Answer: A
Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 5 miles per day and it will take them two days, how many miles long is the route down the mountain?
Choices:
6
8
12
15
Answer: D
Question: Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 16, 12, and 8 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
Choices:
7/4
8/5
10/3
12/5
Answer: C
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in days?
Choices:
22 1/2
22 1/0
22 1/9
22 1/1
Answer: A
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $800 per sq. metre.
Choices:
$13500
$16500
$14500
$18500
Answer: B
Question: On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 15 more transactions than Cal. How much transactions did Jade handled?
Choices:
81
82
83
84
Answer: A
Question: If the numbers 1 to 100 are written on 100 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Choices:
1/25
1/100
1
2
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 300 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
32 km/hr.
60 km/hr.
35 km/hr.
90 km/hr.
Answer: D
Question: Uncle Bruce is baking chocolate chip cookies. He has 50 ounces of dough (with no chocolate) and 40 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 30% chocolate?
Choices:
22.86
25
26
27
Answer: A
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choices:
105
129
119
113
Answer: A
Question: In how many ways can a cricket 15 be chosen out of a batch of 20 players?
Choices:
18250
13250
15504
14520
Answer: C
Question: The price of commodity X increases by 30 cents every year, while the price of commodity Y increases by 20 cents every year. If in 2001, the price of commodity X was $4.20 and the price of commodity Y was $4.40, in which year will commodity X cost 90 cents more than the commodity Y?
Choices:
2011
2012
2013
2014
Answer: B
Question: A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 70% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Choices:
1250
1300
1600
1857.14
Answer: D
Question: What is the present worth of Rs. 187 due in 2 years at 5% simple interest per annum?
Choices:
266
120
277
170
Answer: D
Question: If a real number x is chosen at random in the interval [0,5] and a real number y is chosen at random in the interval [0,6], what is the probability that x < y?
Choices:
3/5
5/12
7/12
11/15
Answer: C
Question: In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 49 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
Choices:
245
150
35
350
Answer: D
Question: A merchant purchased a jacket for $54 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:
$3
$4
$12
$18
Answer: D
Question: On the xy co-ordinate plane, point C is (3,-2) and point D is (-1,2.5). The point on line segment CD that is twice as far from C as from D is:
Choices:
(1,1)
(2,0.25)
(3,0.5)
(3,1)
Answer: C
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his avg by 3. Find his average after 17th inning.
Choices:
52
39
36
85
Answer: B
Question: There are 7 books on a shelf, of which 2 are paperbacks and 5 are hardbacks. How many possible selections of 4 books from this shelf include at least one paperback?
Choices:
a) 30
c) 50
d) 55
e) 60
Answer: A
Question: If 4 men can color 48 m long cloth in 2 days, then 6 men can color 36 m long cloth in
Choices:
1 day
3 days
4 days
5 days
Answer: A
Question: Given a set of numbers {5,6,7,8,9,10}, what is the probability that is two numbers are selected randomly that their sum will be greater than 12?
Choices:
9/12
13/12
13/11
13/16
Answer: B
Question: If x/y = 7/3, then (x + y)/(x - y) = ?
Choices:
5/2
-1/6
-1/5
-5
Answer: A
Question: If the sum of three consecutive even numbers is 50 more than the average of these numbers, then the largest of these numbers is?
Choices:
24
22
26
27
Answer: D
Question: In one hour, a boat goes 7 km along the steram and 5 km against the stream. The speed of the boat in still waer (in km/hr) is:
Choices:
4
6
12
15
Answer: B
Question: A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/10 that a person who randomly guesses the answer to each question will be a winner?
Choices:
10
50
100
1000
Answer: C
Question: In a colony of 70 resident s, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
Choices:
1:6
1:3
1:1
1ratio 3
Answer: D
Question: A card is drawn from a pack of 52 cards. The probability of not getting a face card?
Choices:
9/13
3/13
6/17
1/13
Answer: A
Question: How many 3-digit positive integers are there, where each digit is positive, and no 3 adjacent digits are same?
Choices:
504
4096
4608
6561
Answer: A
Question: Starting from his house one day, a student walk at a speed of 2 kmph and reaches his school 10 minutes late. Next he increased his speed by 1 kmph and reaches the school 10 minutes early. How far is the school from his house?
Choices:
2km
3km
4km
5km
Answer: A
Question: Calculate how many seconds it eill take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 2, 5, 8 and 11 seconds. ?
Choices:
440
410
442
422
Answer: A