antoine-444/aqua_rat_dataset huggingface dataset:
Question: 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 2 men and 3 women will do that task.
Choices:
1/2
1/18
1/16
1/11
Answer: A
Question: There are 10 cans in the refrigerator. 5 of them are red and 5 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
Choices:
410
493
455
445
Answer: A
Question: If W is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of W?
Choices:
12
14
16
18
Answer: B
Question: At what rate percent per annum will a sum of money double in 6 years.
Choices:
13.5%
11.5%
14.5%
16.6%
Answer: D
Question: What decimal fraction is 70 ml of a litre ?
Choices:
.07
.05
0.07
None of these
Answer: A
Question: There are 8 baskets numbered from 1 to 8 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:
640
720
760
800
Answer: A
Question: If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 9, Find x and y ?
Choices:
x=4,y=8
x=4,y=7
x=4,y=9
x=5,y=8
Answer: A
Question: The food in a camp lasts for 40 men for 35 days. If ten more men join, how many days will the food last?
Choices:
32days
30days
28days
26days
Answer: C
Question: The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
Choices:
71 years
73 years
74 years
75 years
Answer: A
Question: If (x+4)^2/(x+10)=8, then the difference between the two possible values of x is:
Choices:
6
12
16
24
Answer: C
Question: If m and n are nonzero integers and 390m = 150n, then mn must be divisible by
Choices:
45
50
65
75
Answer: C
Question: A is the average (arithmetic mean) of the first 7 positive multiples of 6 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
Choices:
10
12
16
24
Answer: B
Question: Two pipes P and Q can fill a cistern in 10 and 25 minutes respectively. Both are opened together, but at the end of 5 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
12 1/4
12 1/3
12 1/2
12 1/5
Answer: C
Question: 4 litres of water is mixed in certain amount of pure milk whose cost is Rs. 3 per litre. If the dishonest milkman earns a profit of 20% by selling the mixture at initial price then what is the quantity of pure milk obtained by the customer?
Choices:
20
18
25
None of these
Answer: A
Question: When two coins are tossed,Find the probability of getting all tails?
Choices:
3/4
1/8
3/8
1/4
Answer: D
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 340 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
16.4%
5.6%
34.1%
12.2%
Answer: A
Question: Let x, y and z be distinct integers, x and y are odd and positive, and z is even and
positive. Which one of the following statements cannot be true?
Choices:
(x – z)^2 * y is even
(x – z)*y is odd
(x – y)^2 * z is even
none
Answer: A
Question: Boy sells a book for Rs. 450 he gets a loss of 10%, find CP of the book?
Choices:
Rs.400
Rs.500
Rs.550
Rs.600
Answer: B
Question: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
Choices:
840 sq cm
440 sq cm
120 sq cm
5 sq cm
Answer: B
Question: What will $2000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
Choices:
$3260
$3328
$3456
$3680
Answer: C
Question: Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x?
Choices:
4
3
9
6
Answer: A
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
Choices:
3 9/17 hours
2 8/11 hours
4 1/ 2 hours
5 1/ 2 hours
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 40% but the selling price
remains constant, approximately what percentage of the selling price is the profit
Choices:
67%
90%
100%
None of above
Answer: A
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 37 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5â„7 years
32 2â„7 years
27 1â„2 years
None of these
Answer: B
Question: A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
6 months
7 months
8 months
9 months
Answer: C
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
55 kmph
54 kmph
58 kmph
76 kmph
Answer: B
Question: A & B throws a pair of dice and winner is one who gets a sum of 9 first.if A starts throwing first
Then what is the ratio of A winning over B?
Choices:
9/8
7/8
6/9
5/9
Answer: A
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 8 different boat to go and 6 flight to return. In how many ways, can the boy perform his journey?
Choices:
48
46
50
70
Answer: A
Question: A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.
Choices:
15 m/sec
18 m/sec
19 m/sec
25 m/sec
Answer: A
Question: How many ways are there to arrange the letters in the word accessibility ?
Choices:
1260
3780
7560
778377600
Answer: D
Question: Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Sam meets Nik at point C on the road which is 600m away from starting point A and 400m away from point B. The speed of Sam is 50 m/m(meter/minute). How much time did Sam take to cover the distance between A and B?
Choices:
15 minutes
20 minutes
22 minutes
17 minutes
Answer: B
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
25%
40%
28%
Answer: A
Question: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)?
Choices:
11 years
20 years
17 years
16 years
Answer: B
Question: In a school the number of girls is 15 more that that of the boys. now if 19% of the girls were newly joined and 25% of the boys were newly joined the number of girls is 9 more than that of the boys how many girls and boys were there?
Choices:
156
158
159
160
Answer: A
Question: Rose made a part payment of $300 toward buying a brand new car, which represents 5% of the total cost of the car, how much remains to be paid?
Choices:
$5700
$5800
$5200
$5880
Answer: A
Question: A certain list of 100 data has an average (arithmetic mean) of 7 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 104 data with standard deviation less than d?
Choices:
0 and 0
0 and 7
0 and 14
7 and 7
Answer: D
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Choices:
1/2
7/9
1/6
1/1
Answer: A
Question: Pipe A can fill a tank in 16 hrs and pipe B can fill it in 24 hrs. If both the pipes are opened in the empty tank. In how many hours will it be fill 5/4th of that tank?
Choices:
12
14
16
18
Answer: A
Question: The area of the Rest room is 40 m2 that of a longer wall 10 m2 and of the shorter wall 1 m2, find the edge of the new cube?
Choices:
10 m2
80 m3
20 m3
50 m3
Answer: C
Question: A parts store is having a store-wide sale of 10% off all merchandise. An out-of-stock part can be backordered, but at a 20% fee. If a customer orders an out-of-stock part whose presale price was $40, how much will he pay?
Choices:
$42.00
$42.60
$43.20
$43.80
Answer: C
Question: An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
Choices:
10 and 1/10 pounds
10 and 2/5 pounds
136/13 pounds
11 and 1/7 pounds
Answer: C
Question: If 2464 / 1.12 = 2200, then 246.4 / 11.2 is equal to?
Choices:
23
22
21
25
Answer: B
Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 25 kg of fresh grapes?
Choices:
2.4 kg
3.12 kg
10 kg
none of these
Answer: B
Question: On flipping 3 coins together what is the outcomes for at least One tail and three heads?
Choices:
3/8
3/11
4/8
5/13
Answer: C
Question: An agent wants to sell x% of a list of 10,000 apartments in a residential area. After market price decreases, the agent must reduce this selection by (x − 8)%. In terms of x, how many apartments will he be able to sell?
Choices:
(x)(108 – x)
(100)(108 – x)
(100)(92 – x)
(x-8)/100
Answer: A
Question: If four coins are tossed, the probability of getting two heads and two tails i
Choices:
3/8
3/9
3/1
3/2
Answer: A
Question: A boat crossed a lake from North to East at the speed of 7 km/h, entered a river and covered twice as much distance going upstream at 6 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?
Choices:
5
6
7
8
Answer: D
Question: At a dinner party,3 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
2) 10
3) 24
4) 2
5) 120
Answer: C
Question: A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.9
3
1.5
1.2
Answer: B
Question: If w/x = 1/3 and w/y = 4/15, then (x + y)/y =
Choices:
6/5
7/5
8/5
9/5
Answer: D
Question: In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate ?
Choices:
25%
50%
75%
80%
Answer: C
Question: If x+y=4 and x2y3 + y2x3=36, what is the value of xy?
Choices:
2
3
4
5
Answer: C
Question: Trapezoid JKLM in the x-y plane has coordinates J = (–2, –1), K = (–2, 1), L = (6, 7), and M = (6, –1). What is its perimeter?
Choices:
36
31
40
(F) 42
Answer: B
Question: The two lines y = x and x = -2 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
Choices:
8√2
8
√2
(√2)/3
Answer: C
Question: The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 6 ?
Choices:
106
158
116
122
Answer: B
Question: 300 × ? + (12 + 4) × 1/8 = 602
Choices:
B)3
C)5
D)2
E)8
Answer: C
Question: Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a
speed of 16.5 kmph the man will cover the same distance in.
Choices:
25 min
40 min
60 min
None of these
Answer: B
Question: If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?
Choices:
-1
0
2
-2
Answer: A
Question: A can do a piece of work in 4 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
3hours
4hours
5hours
6hours
Answer: B
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
285 cm2
287 cm2
267 cm2
207 cm2
Answer: A
Question: Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,900 at the end of nine years, how much money did he borrow?
Choices:
12,526
14,000
16,000
16,536
Answer: A
Question: A man has Rs. 544 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
102
37
90
28
Answer: A
Question: If r>0, which of the following must be true?
Choices:
0 < r < 2
-1 < r < 1
-10 < r
1/100 < r
Answer: C
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3
4
9
2
Answer: A
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 20 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
Choices:
135
50
55
60
Answer: A
Question: The average weight of a class is x pounds. When a new student weighing 90 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x?
Choices:
86
88
90
99
Answer: D
Question: Margaret is 10 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
Choices:
22yrs
30yrs
40yrs
50yrs
Answer: A
Question: Tina’s cat weighs 2.6 kilograms. Her dog weighs 6 times as much as her cat. How much does her dog weigh in kilograms?
Choices:
B)38kg
C)22kg
D)15.6kg
E)20kg
Answer: C
Question: If it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?
Choices:
11
7
7/3
9/7
Answer: B
Question: g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(e) is divisible by 4^11, what is the smallest possible value for e?
Choices:
24
28
32
44
Answer: A
Question: A rectangular grass field is 75 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:
1350
2677
2898
2787
Answer: A
Question: Due to an increase in 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. Find the present rate of eggs per dozen.
Choices:
Rs. 9.36
Rs. 10.36
Rs. 11.36
Rs. 11.98
Answer: A
Question: Which of the following could be the value of x, if |-6x + 24| = 54?
Choices:
1
1/5
12
-12
Answer: C
Question: Juan is a gold medalist in athletics. In the month of May, if Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
11x/y
9x/y
12x/y
13x/y
Answer: A
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2.5% more. She would get how much?
Choices:
9800
26667
1662
2882
Answer: A
Question: There are between 500 and 510 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Choices:
503
506
507
510
Answer: B
Question: Solve:-
555 x 555 x 555 + 555 x 555 x 555 = ?(555 x 555 - 555 x 555 + 555 x 555)
Choices:
333
555
988
1110
Answer: D
Question: A fair 2 sided coin is flipped 4 times. What is the probability that tails will be the result at least twice, but not more than 4 times?
Choices:
2/3
5/8
4/7
3/7
Answer: B
Question: Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
Choices:
150
817
716
616
Answer: A
Question: Find the value of 72516 x 9999 = m?
Choices:
436567874
725087484
725117481
357889964
Answer: B
Question: What is the value of 4^5+4^4?
Choices:
5(4^4)
17(4^5)
8^12
7(4^5)
Answer: A
Question: If a truck is traveling at a constant rate of 54 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
Choices:
24
30
36
40
Answer: D
Question: When a number is divided by 6 &then multiply by 12 the answer is 15 what is the no.?
Choices:
5
5.6
7.5
6.5
Answer: C
Question: For all even integers n, h(n) is defined to be the sum of the even integers between 4 and n, inclusive. What is the value of h(18)/h(10) ?
Choices:
3
6
18
60
Answer: A
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Choices:
78
23
5
32
Answer: C
Question: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
Choices:
51236
47619
6974
1235
Answer: B
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 6/7
20
25
40
Answer: A
Question: What decimal of an hour is a second ?
Choices:
.0256
.00027
.000126
none of the above
Answer: B
Question: In an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled?
Choices:
700
535
450
815
Answer: A
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 64% of the required amount. What is the net difference in the expenditure on that product?
Choices:
13%
15%
17%
20%
Answer: D
Question: When running a mile during a recent track meet, Nuria was initially credited with a final time of 3 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
Choices:
5 minutes, 21.8 seconds
4 minutes, 10.4 seconds
5 minutes, 44.44 seconds
5 minutes, 43.56 seconds
Answer: B
Question: In how many ways can the letters of the word CAVERN be arranged in a row so that the vowels appear in alphabetic order?
Choices:
360
620
180
36
Answer: A
Question: If two letters are chosen at random (without replacement) from the word DANCE, what is the probability that none of the letters are vowels?
Choices:
2/5
3/10
7/20
11/30
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train.
Choices:
145 m
240 m
135 m
250 m
Answer: D
Question: Mrs. Rodger got a weekly raise of $147. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$141
$142
$147
$145
Answer: C
Question: Calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 5, 6, 10 and 12 seconds. ?
Choices:
60
79
70
78
Answer: A
Question: In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 38500. How many times did he participate in the competition?
Choices:
7
8
9
10
Answer: A
Question: What is the area of a square field whose diagonal of length 22 m?
Choices:
220 sq m
200 sq m
400 sq m
800 sq m
Answer: A
Question: Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 825 miles?
Choices:
Seven hours and 30 minutes.
Eight hours and 20 minutes.
Nine hours and 15 minutes.
Ten hours and 20 minutes.
Answer: B
Question: The cost of 2 chairs and 3 tables is Rs.1700. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Choices:
287
277
188
500
Answer: D
Question: Trapezoid JKLM in the x-y plane has coordinates J = (–2, –3), K = (–2, 1), L = (6, 7), and M = (6, –3). What is its perimeter?
Choices:
32
38
40
(F) 42
Answer: A
Question: If 6 (A's capital) = 8 (B's capital) = 16 (C's capital). Then the ratio of their capitals is?
Choices:
8:15:68
8:6:3
20:15:11
20:15:19
Answer: B
Question: How many C ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
Choices:
16
28
32
56
Answer: C
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.4586
s.7248
s.4530
s.4528
Answer: B
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
Choices:
1 hr
6 hr
8 hr
7 hr
Answer: A
Question: What is the next number in the sequence.
15 29 56 108 208 ?
Choices:
400
300
500
580
Answer: A
Question: There is a 10% chance that Tigers will not win at all during the whole season. There is a 90% 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)10%
Answer: D
Question: At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $160.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?
Choices:
$27
$31
$39
It cannot be determined
Answer: C
Question: A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?
Choices:
4.5%
5%
6%
None of these
Answer: D
Question: A boat can move upstream at 25 kmph and downstream at 39 kmph, then the speed of the current is?
Choices:
6
7
54
3
Answer: B
Question: If x% of y is 100 and y% of z is 200, then find the relation between x and z.
Choices:
2z = x
z = 2x
z =x2
None of above
Answer: B
Question: The present ages of Reena and Usha are 24 and 36 yr. respectively . What was the ratio between the ages of Usha and Reena respectively 8 yr ago ?
Choices:
7 : 4
11 : 8
8 : 11
9:12
Answer: A
Question: At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 7 liters of forest green to change it to Verdant green?
Choices:
2/7
7/3
1/7
1/4
Answer: B
Question: If a = (1/5)b and c = 9a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
Choices:
(11/3)a
4a
5a
(7 1/4)a
Answer: C
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 5/7%
49 6/7%
42 6/7%
42 1/7%
Answer: C
Question: The average age of the mother and her six children is 9 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Choices:
39
42
43
44
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.25
6.23
6.29
6.39
Answer: A
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
18 cm
90 cm
180 cm
None of these
Answer: D
Question: The average of 50 numbers id 20. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
Choices:
33.25
22.25
11.75
18.75
Answer: D
Question: John bought 2 shares and sold them for $90 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choices:
a profit of $8
a loss of $8
a loss of $20
neither a profit nor a loss
Answer: C
Question: The manufacturing cost of a shoe is Rs.220 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
Choices:
s 216
s 220
s 270
s 217
Answer: C
Question: Machine Z takes 2 more hours than machine B to make 20 widgets. If working together, the machines can make 25 widgets in 3 hours, how long will it take machine Z to make 40 widgets?
Choices:
6
8
10
12
Answer: D
Question: In how many different number of ways 8 men and 5 women can sit on a shopa which can accommodate persons?
Choices:
180
200
1716
220
Answer: C
Question: A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both be not red?
Choices:
15/28
9/16
1/32
1/16
Answer: A
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 462 but three tickets from city A to B and two tickets from city A to C cost Rs. 438. What are the fares for cities B and C from A ?
Choices:
s. 13, Rs. 17
s. 15, Rs. 14
s. 77, Rs. 103
s. 78, Rs. 102
Answer: D
Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 18%?
Choices:
48%
50.5%
28.125%
56%
Answer: C
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3.5 a rupee. Find his net profit or loss percent?
Choices:
15.2 %
14.28 %
32 1/3 %
33 1/2 %
Answer: B
Question: A positive whole number has factors of 5 and 11. The number MUST be divisible by: I. 55 II. 110 III. 220
Choices:
II & III
II
III * I
III
Answer: D
Question: Two cars, one from Austin to Dallas and the other from Dallas to Austin, start simultaneously. After they meet, the cars reach their destinations after 4 hours and 9 hours respectively The ratio of their speeds is
Choices:
2 : 3
3 : 6
4 : 5
None
Answer: A
Question: A scientist has a set of weights {1Kg, 2Kg, 4Kg, 8Kg, 16Kg, 32Kg}. This set is good enough to weight any object having an integral weight between 1Kg and 63Kg (Eg. 19 Kg = 16Kg + 2Kg + 1Kg). If the 4 Kg weight is lost, how many weights between 1Kg & 63Kg can no longer be measured ?
Choices:
32
48
64
80
Answer: B
Question: An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?
Choices:
13/40
Data inadequate
14/50
None of these
Answer: B
Question: The profits of QRS company rose 35% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
Choices:
32%
40%
62%
80%
Answer: C
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choices:
30%
20%
70%
45%
Answer: B
Question: What is the dividend. divisor 15, the quotient is 8 and the remainder is 5
Choices:
B)148
C)150
D)125
E)158
Answer: C
Question: If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day?
Choices:
101 men
102 men
103 men
104 men
Answer: B
Question: If 25% of x is 15 less than 15% of 1500, then x is?
Choices:
750
820
840
860
Answer: C
Question: A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability W of generating an odd prime digit is between
Choices:
1/6 and 1/3
1/3 and 1/2
1/2 and 2/3
2/3 and 5/6
Answer: A
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices:
2400
2777
29087
27871
Answer: A
Question: Solve below question 4x + 1 = 37
Choices:
-9
-5
9
1
Answer: C
Question: At a certain amateur bands rock show the ratio of freaks( F) to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling rock on!, what are the chances that the next person who yells rock on!will be a geek?
Choices:
1/2
1/6
1/4
1/8
Answer: A
Question: John is three times as old as Sam. If John will be twice as old as Sam in nine years, how old was Sam two years ago?
Choices:
4
6
8
7
Answer: D
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
91.5 cm
28.9 cm
29.2 cm
98.2 cm
Answer: A
Question: If a dealer wants to earn 50% profit on an article after offering 60% discount to the customer, by what percentage should he increase his marked price to arrive at the label price?
Choices:
275%
250%
130%
100%
Answer: A
Question: A and B started a business and invested in 4:5 ratio.after 3 month A takes back 1/4 part of his investment and B takes back 1/5 part of his investment.after 10 month there is profit of 76000 rs.calculate the profit share of A.
Choices:
43000
33000
46000
38000
Answer: B
Question: If the numbers 19/36, 5/11, 12/25, 6/11, and 8/18 were arranged from least to greatest, which number would be in the middle?
Choices:
12/25
6/11
5/11
8/18
Answer: A
Question: A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
Choices:
800
740
120
200
Answer: C
Question: 54 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:
30
32
34
36
Answer: C
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.3135.What was his original salary?
Choices:
2999
1000
3000
1971
Answer: C
Question: How many words can be formed using the letters of the word “DRAW”"
Choices:
22
24
26
29
Answer: B
Question: The length of a rectangular field is 7/5 its width. If the perimeter of the field is 240 meters, what is the width of the field?
Choices:
50
70
80
90
Answer: A
Question: Find the invalid no.from the following series 15, 16, 34, 105, 424, 2124, 12756
Choices:
16
105
424
2124
Answer: D
Question: The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what ia the pice of each of these two books ?
Choices:
10,16
10,12
10,10
10,11
Answer: A
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
476
557
2885
271
Answer: A
Question: It takes 5 tons of copper ore and 9 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
Choices:
18 3/4
16
12
10
Answer: D
Question: 4 guys buy same cellphones cost them 250 each. Two guy have 25% of for his first cellphone. What is the total cost all of them pay to seller.
Choices:
850
875
775
750
Answer: B
Question: In a public show 45 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?
Choices:
330
120
140
150
Answer: A
Question: How many three digit numbers B greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
Choices:
72
120
96
76
Answer: A
Question: Let the sides of a rectangular prism are consecutive multiples of 5. Which among the following could be the base area
Choices:
450
560
670
780
Answer: A
Question: Two trains, 250 metres and 150 metres long respectively, are running on parallel lines. If they are running in the same directions, the faster train crosses the slower train in 40 seconds. If they are moving in the opposite direction they pass each other in eight seconds. What is the speed of the slower train?
Choices:
82kmph
92 kmph
72 kmph
87 kmph
Answer: C
Question: If integers ending in zero are excluded, what is the unit digit of the product of the even integers from 502 to 598, inclusive?
Choices:
6
8
10
12
Answer: A
Question: Today is Brian's birthday. In two years from today he will be twice as old as he was 11 years ago. How old is Brian today ?
Choices:
24 years
19 years
26 years
28 years
Answer: A
Question: The arithmetic mean (average) of a set of 5 numbers is an integer A. Upon being divided by 180, A leaves a remainder of 30. If two of the numbers in the set are decreased by 120 and 180 units respectively, which of the following statements must be true about the new arithmetic mean B of the set?
I. The remainder that B leaves upon division by 180 is less than the remainder that A leaves upon division by 180.
II. When B is divided by 60, the remainder is 30.
III. The value of the decimal digits is greater in the number A/90 than in the number B/90.
Choices:
II only
III only
I and II only
I and III only
Answer: A
Question: A light has a rating of 110 watts, it is replaced with a new light that has 30% higher wattage. How many watts does the new light have?
Choices:
143
156
134
100
Answer: A
Question: In what time will a train 135 m long cross an electric pole, it its speed be 140 km/hr?
Choices:
3.5
2.9
2.3
2.1
Answer: A
Question: A committee of four is to be chosen from seven employees for a special project at ACME Corporation. Two of the seven employees are unwilling to work with each other. How many committees are possible if the two employees do not work together?
Choices:
20
25
35
50
Answer: B
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
23 Years
25 Years
22 Years
28 Years
Answer: A
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
31
32
34
35
Answer: D
Question: IF 1+3=10 ; 3+5=52 ; 5+7=174 Then 7+11=?
Choices:
225
654
741
464
Answer: D
Question: CONVERT 1.3 hectares in ares
Choices:
130 ares.
180 ares.
230 ares.
250 ares.
Answer: A
Question: Lorna invests $8000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
Choices:
$1,700
$2,200
$4,400
$5,840
Answer: A
Question: It would take one machine 8 hours to complete a large production order and another machine 7 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
Choices:
B 14/45
C 24/56
D 45/56
E 56/15
Answer: D
Question: An airplane travels 4362 km against the wind in 6 hours and 5322 km with the wind in the same amount of time. what is the rate of the wind?
Choices:
70km/hr
80km/hr
90km/hr
100km/hr
Answer: B
Question: 5^2010
what will be the sum of digits?
Choices:
6029
6031
3021
6032
Answer: B
Question: If the true discount on s sum due 2 years hence at 14% per annum be Rs. 210, the sum due is:
Choices:
s. 960
s. 1960
s. 2400
s. 2800
Answer: A
Question: From given equation find the value of x: 2x² + 9x − 5
Choices:
1/2
3
4
5
Answer: A
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Choices:
2888
4312
2881
1221
Answer: B
Question: An design manager has 10patterns of chairs & 6patterns of tables. In how many ways can he make a pair of table & chair?
Choices:
60
80
90
100
Answer: A
Question: A driver just filled the car's gas tank with 18 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Choices:
1
1.8
2.4
3
Answer: A
Question: The denominator of a fraction is 5 greater than the numerator. If the numerator and the denominator are increased by 1, the resulting fraction is equal to 7â„12. What is the value of the original fraction?
Choices:
6/11
11/16
12/17
14/19
Answer: A
Question: The interest on a certain deposit at 5% per annum is Rs. 101.20 in one year. How much will the additional interest in one year be on the same deposit at 6% per annum?
Choices:
Rs.19.74
Rs.20.24
Rs.19.5
Rs.19.00
Answer: B
Question: 0.0004?=0.01
Choices:
0.4
0.04
40
None of these
Answer: B
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444
877
278
178
Answer: A
Question: What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?
Choices:
Rs.10123.20
Rs.10123.00
Rs.10100.00
Rs.10110.00
Answer: A
Question: In what ratio P:Q should the Mixture P of milk and water in the ratio of 5:3 be mixed with another Mixture Q of milk and water in the ratio 1:3 so that the resultant mixture contains equal quantities of milk and water?
Choices:
4:3
3:2
2:1
4:1
Answer: C
Question: The difference of two numbers is 2 and the difference of their squares is 12. The sum of the number is
Choices:
6
10
22
24
Answer: A
Question: For the positive integers x, x + 2, x + 4, x + 7, and x + 22, the mean is how much greater than the median?
Choices:
1
2
3
7
Answer: C
Question: There are cats got together and decided to kill the mice of 999951. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Choices:
993,1007
991,1009
791,1009
931,1009
Answer: A
Question: A’s speed is 25/18 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choices:
7/18
7/25
3/25
1/25
Answer: B
Question: The sequence a(1), a(2), …, a(n), … is such that a(n)=4a(n–1) –3 for all integers n>1. If a(3)=x, then a(1)=?
Choices:
16x–15
(x+3)/4
(x+3)/16
(x+15)/16
Answer: D
Question: What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular 11-sided polygon)?
Choices:
1/3
1/4
1/8
1/11
Answer: B
Question: The average of 11numbers is 60. Out of 11numbers the average of first 6no. is 98, and last 6numbers is 65 then find 6th number?
Choices:
A)318
C)58
D)62
E)48
Answer: A
Question: Solution A is 20% sugar and Solution B is 80% sugar. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% sugar solution?
Choices:
6:14
4:4
4:6
3:7
Answer: B
Question: In a group of 90 students, 30 are taking History, and 32 are taking Statistics. If 59 students are taking History or Statistics or both, then how many students are taking History but not Statistics?
Choices:
19
33
27
31
Answer: B
Question: Two bullet train s are running in opposite directions with the same speed. If the length of each bullet train is 120 metres and they cross each other in 12 seconds, then the speed of each bullet train (in km/hr) is:
Choices:
36 km/hr.
56 km/hr.
76 km/hr.
66 km/hr.
Answer: A
Question: A nickel is placed flat on a table. What is the maximum number of nickels that can be placed
around it, flat on the table, with each one tangent to it?
Choices:
5
6
7
8
Answer: B
Question: What is the remainder when 750*810*830*790 is divided by 13?
Choices:
9
10
8
6
Answer: B
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 10t + 16 = 0, with a > b, what is the value of a â€“ b?
Choices:
4
6
8
10
Answer: B
Question: k = 2^n + 5, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9?
Choices:
2^n - 4
2^n
2^n + 4
2^n + 5
Answer: A
Question: A certain distance is covered by a cyclist at a certain speed. I a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is:
Choices:
2:1
1:4
4:1
None of these
Answer: B
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
Choices:
5:12
5:10
5:11
5:16
Answer: D
Question: A and B start a business, with A investing the total capital of Rs.100000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.10000 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
B)2620000
C)2820000
D)2920000
E)2420000
Answer: A
Question: An amount of Rs.1638 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of B?
Choices:
358
356
514
504
Answer: D
Question: A school has received 60% of the amount it needs for a new building by receiving a donation of $500 each from people already solicited. People already solicited represent 50% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Choices:
$333.33
$100.25
$277.78
$377.00
Answer: A
Question: In a company of 11 employees, 5 employees earn $32,000, 4 employees earn $45,000, and the 2 highest-paid employees earn the same amount. If the average annual salary for the 11 employees is $48,000, what is the annual salary for each of the highest-paid employees?
Choices:
$94,000
$98,000
$102,000
$106,000
Answer: A
Question: (1000)7÷(10)16=?
Choices:
100
1000
100000
None of these
Answer: C
Question: Of 70 players on a football team, 46 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
59
63
71
62
Answer: D
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:
Choices:
75 km/hr
84 km/hr
87.5 km/hr
77.5 km/hr
Answer: C
Question: One man traveled a distance of 61 km in 9hrs. He traveled partly on footat 4 km/hr and partly on bicycle ta 9 km/hr. The distance traveled on foot is?
Choices:
13 km
16 km
18 km
19 km
Answer: B
Question: Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?
Choices:
12
14
15
60
Answer: D
Question: There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability R that at least one will be orange?
Choices:
R=7/10
R=2/5
R=3/10
1/10
Answer: A
Question: Which of the following options is an arithmetic sequence?
I. m-9, n-5, o-9,p-9, q-9, r-9
II. m^5, n^5, o^5, p^5, q^5
III. 4m,4n,4o,4p,4q
Choices:
I and II
I and III
II and III
III only
Answer: D
Question: Average monthly income of a family of 3 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
Choices:
Rs. 905
Rs. 990
Rs. 1385
None
Answer: A
Question: In how many ways the word "RITUAL" can be arranged?
Choices:
240
720
None
Cannot be determined
Answer: B
Question: 210 reputed college students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
Choices:
40
50
60
75
Answer: A
Question: 5 identical snow plows can clear an iced parking lot in 24 hours. How long would it take 6 such snow plows to clear the same parking lot?
Choices:
2 hours, 30 minutes
3 hours
7 hours, 30 minutes
20 hourss
Answer: D
Question: If |q|=−q, which of the following must be true?
Choices:
q≤0
q2>x
x3<0
2x<x
Answer: A
Question: If a whole number n is divided by 4, we will get 3 as remainder. What will be the remainder if 2n is divided by 4 ?
Choices:
3
2
1
0
Answer: B
Question: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?
Choices:
27 sec
67 sec
47 sec
37 sec
Answer: A
Question: How many 6 digit numbers can be formed from the digits 1 to 6 which are divisible by the unit digit of that number.
Choices:
648
890
980
None of these
Answer: A
Question: One year ago, Priya was four times as old as her daughter Sneha. Six years hence, Priya’s age will exeed her daughter’s age by 9 years. The ratio of the present ages of Priya and her daughter is :
Choices:
11 : 3
12 : 5
13 : 4
13 : 6
Answer: C
Question: A car averages 35 miles per hour for the first 4 hours of a trip and averages 44 miles per hour for each additional hour of travel time. If the average speed for the entire trip is 38 miles per hour, how many hours long is the trip?
Choices:
6
10
12
14
Answer: A
Question: A store sells a certain product at a fixed price per unit. At the product's current price, v units cost a total of exactly $300. If the price were lowered by $5 from its current value, then v + 2n units would cost exactly $300; if the price were raised by $5, then v – n units would cost exactly $300. What is the value of v?
Choices:
15
20
25
30
Answer: B
Question: It would take one machine 9 hours to complete a large production order and another machine 8 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
Choices:
72/17
14/24
24/56
34/56
Answer: A
Question: find the average of first 20 multiples of 7?
Choices:
73.5
63.5
54.5
40.5
Answer: A
Question: Out of 8 people working on a project, 4 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
Choices:
9/10
11/12
13/14
15/16
Answer: C
Question: John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a 15% tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. If John paid $0.51 more than Jane, what was the original price of the dish?
Choices:
34
37.8
42
84
Answer: A