antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a certain city, 75 percent of the households have cable television, and 60 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:
Choices:
52,500 to 90,000 inclusive
60,000 to 90,000 inclusive
72,500 to 120,000 inclusive
90,000 to 120,000 inclusive
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
4991
5004
5000
6000
Answer: A
Question: Two pipes can fill a tank in 10 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
8 minutes
15 minutes
10 minutes
12 minutes
Answer: A
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Choices:
Rs.4082.27
Rs.4082.26
Rs.4082.40
Rs.4082.45
Answer: C
Question: if ratio of total amount and principal amount is 3:2.rate of interest 5%.calculate the time.
Choices:
10
5
8
data not available
Answer: A
Question: How many real roots does the equation x^2y+16xy+62y=0 have if y < 0?
Choices:
1
2
3
Infinite
Answer: B
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 4 and 5K + 1 is 63, what is the value of K?
Choices:
22 10/11
22
23
25 3/10
Answer: A
Question: A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Choices:
77 days
15 days
18 days
19 days
Answer: B
Question: The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-6), how many units is P from the y-axis?
Choices:
6
9
10.5
12
Answer: D
Question: In digging a pond 30m*10m*5m the volumes of soil extracted will be ?
Choices:
2500 cu.m
15000 cu.m
1500 cu.m
3000 cu.m
Answer: C
Question: When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 26 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7, and M and S had 10. She also saw that 9 names were on all 3 rosters. If the rosters for Professor Wang's 3 classes are combined with no student's name listed more than once, how many names will be on the combined roster?
Choices:
34
42
46
55
Answer: D
Question: All of the stocks on the over-the-counter market are designated by either a 5-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:
26(26^4)
27(26^4)
26(26^5)
27(26^5)
Answer: D
Question: If the units digit of n^26 is 7, which of the following could be the value of n?
I. n = 41
II. n = 49
III. n = 47
Choices:
Only II
Only III
I and II
II and III
Answer: A
Question: A bag contains 3 red balls, 5 green balls and 6 white balls. A ball is drawn at
random from the box. What is the probability that the ball drawn is either red or green?
Choices:
3/5
4/7
7/15
8/15
Answer: B
Question: Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 10000 at the end of the year, what should be the share of Narendra?
Choices:
Rs.8000
Rs.9000
Rs.10000
Rs.11000
Answer: A
Question: The fraction 101 27/100000 in decimal for is:
Choices:
101.00027
101.0027
10100027
1010027
Answer: A
Question: If 0.4 of a number is equal to 0.07 of another number, the ratio of the numbers i
Choices:
7 : 40
3 : 20
20 : 3
None
Answer: A
Question: What is the largest 4 digit number exactly divisible by 48?
Choices:
4678
9984
9504
9936
Answer: B
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $189 million, which represented 9 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
Choices:
2,100
1,890
1,701
210
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 70 km downstream?
Choices:
33/13 hours
31/13 hours
35/13 hours
30/14 hours
Answer: C
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. States B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State ?
Choices:
8000
8400
Data inadequate
None of these
Answer: A
Question: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and another alpha raised to the seventh power?
Choices:
alpha.
gamma.
delta.
epsilon.
Answer: A
Question: if log 6 = 0.778151, the number of digits in 6128 is
Choices:
39
88
100
98
Answer: C
Question: Martha has the unique talent of being able to guess other people’s height and weight. For every four people that Martha meets, she consistently guesses the people’s correct height three times, and for every five people that she meets, she consistently guesses the people’s correct weight four times. If Martha meets three people and her success rate remains constant, what is the probability that Martha correctly guesses a person’s weight and height at least once?
Choices:
117/125
49/81
98/125
125/144
Answer: A
Question: A train passes a platform in 16 seconds. The same train passes a man standing on the platform in 10 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Choices:
50
90
30
20
Answer: B
Question: The average of first five multiples of 4 is
Choices:
6
9
12
15
Answer: C
Question: Subtracting 7% of A from A is equivalent to multiplying A by how much ?
Choices:
0.93
0.094
94
None
Answer: A
Question: In a certain game, you pick a card from a standard deck of 52 cards. If the card is a spade, you win. If the card is not a spade, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a spade, and the point is to measure how many draws did it take before the person picked a spade and won. What is the probability that there will be at least three draws involved in a win, i.e. someone picking her first spade on the third draw or later?
Choices:
11/16
9/16
13/16
15/16
Answer: B
Question: What is the number that should come in the place of question mark?
1050	420	168	67.2	?
Choices:
10.752
4.3008
26.88
27.88
Answer: C
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train ?
Choices:
240 m
260 m
270 m
280 m
Answer: C
Question: Patrick is an avid star gazer and wants to make his own constellation. He is using a star chart that has 7 stars on it and decides that he will draw a continuous line using 3 of those 7 stars to make his constellation. There will be no closed shapes in his constellation. How many possible paths could his contstellation follow?
Choices:
21
97
210
980
Answer: C
Question: if 16 girls take eight hours to complete a task, then how long should 40 girls take to complete the same task?
Choices:
194 min
192 min
196 min
198 min
Answer: B
Question: A car covers a distance of 624 km in 6 ½ hours. Find its speed?
Choices:
104
271
276
128
Answer: A
Question: The sum of all the integers k such that –24 < k < 24 is
Choices:
-2
-45
-49
-51
Answer: B
Question: Which of the statements can be dispensed with while answering the above question?
Choices:
A only
A or C only
B or C only
C or D only
Answer: A
Question: If six persons sit in a row, then the probability that three particular persons are always together is
Choices:
1/7
1/5
1/9
1/6
Answer: B
Question: The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
Choices:
151 cm
276 cm
287 cm
297 cm
Answer: A
Question: If 3 (A's capital) = 5 (B's capital) = 7 (C's capital). Then the ratio of their capitals is?
Choices:
45:21:15
35:21:18
35:11:15
35:21:15
Answer: D
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Choices:
3:5
4:5
7:5
2:4
Answer: B
Question: If the first day of a year (other than leap year) was Friday, then which was the last day of that year?
Choices:
Friday
Tuesday
Monday
wednesday
Answer: A
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Choices:
236578
645353
456546
220030
Answer: D
Question: On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 5 cups of tea. Last week Mo drank a total of 36 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Choices:
3
4
2
6
Answer: C
Question: If x and y are integers such that x^2-2x+2y+4=2x^2-3x+y-2, we can deduce that y is
Choices:
an even
a perfect square
an odd
a prime
Answer: A
Question: Divide Rs. 1600 among A, B and C so that A receives 1/4 as much as B and C together and B receives 3/4 as A and C together. A's share is?
Choices:
375
320
530
230
Answer: B
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.
How many matches were played?
Choices:
99
50
85
57
Answer: A
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a Hearts card. If any of these task are successful, then you win the game. What is the probability of winning?
Choices:
5/16
11/12
11/16
23/48
Answer: C
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choices:
8 days
9 days
10 days
11 days
Answer: A
Question: In the xy-coordinate system, if (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 3, then k =
Choices:
1
2
5/2
4
Answer: A
Question: Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$165
$234
$145
$178
Answer: C
Question: There are 69 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
Choices:
4
8
39
32
Answer: C
Question: Anne traveled from City A to City B in 6 hours, and her speed was between 24 miles per hour and 46 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 44 miles per hour and 81 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
Choices:
115
125
145
180
Answer: D
Question: If x < 12, then it must be true that...
Choices:
-x - 2 < 14
-x + 2 < -10
x + 2 < 10
x - 5 < 16
Answer: D
Question: A man two flats for $675958 each. On one he gains 16% while on the other he loses 16%. How much does he gain or lose in the whole transaction?
Choices:
2.56%
3.12%
4.65%
5.12%
Answer: A
Question: What is the cost of leveling the field in the form of parallelogram at the rate of Rs.50/10 sq.metre, whose base & perpendicular distance from the other side being 54m & 24m respectively?
Choices:
Rs.6080
Rs.6180
Rs.6480
Rs.7000
Answer: C
Question: A couple spent $211.20 in total while dining out and paid this amount using a credit card. The $211.20 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
Choices:
$140
$150
$160
$180
Answer: C
Question: A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 12 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
Choices:
20%
25%
30%
14%
Answer: D
Question: There are two inlets and one outlet to a cistern. One of the inlets takes 2 hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern. Both of the inlets are turned on at 9:00 AM with the cistern completely empty, and at 10:00AM, the outlet is turned on and it takes 1 more hour to fill the cistern completely. How much time does the outlet working alone takes to empty the cistern when the cistern is full?
Choices:
2 hours
3 hours
3.5 hours
4 hours
Answer: A
Question: The 15 homes in a new development are each to be sold for one of three different prices so that the developer receives an average (arithmetic mean) of $200,000 per home. If 4 of the homes are to be sold for $170,000 each and 5 are to be sold for $200,000 each, what will be the selling price of each of the remaining 8 homes?
Choices:
$210,000
$215,000
$220,000
$230,000
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:
3/2
3/1
3/9
3/4
Answer: A
Question: lexus car agency has 108 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is?
Choices:
36
38
39
40
Answer: A
Question: Find the odd man out.
8, 64, 1, 27, 125, 342, 216
Choices:
342
64
125
216
Answer: A
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
50
55
44
11
Answer: A
Question: The height of a cylinder is 60 Cm and the diameter of its base is 5 Cm. The total surface area of the cylinder is
Choices:
981.41
982.14
928.41
None of them
Answer: B
Question: It takes twelve minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
Choices:
13.87
14.25
14.69
14.92
Answer: C
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
7/23
9/42
2/21
3/23
Answer: B
Question: If 5x=6y=z, what is x+y, in terms of z?
Choices:
2z
z/3
11z/30
z/9
Answer: C
Question: The arithmatic mean of 2 no is 34 and geomatric mean of two no is 16 then nos will be
Choices:
64,4
64,8
62,4
60,4
Answer: A
Question: Two trains are moving in opposite directions with speed of 210 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
Choices:
48
47
26
24
Answer: D
Question: A man can row 14 Kmph in still water. It takes him twice as long to row up as to row down the river. Find the rate of stream?
Choices:
18.6 Km/hr
19.6 Km/hr
18.6 m/hr
None of these
Answer: A
Question: In how many ways can the letters F, E, E, L be arranged so that the two E's are not next to each other?
Choices:
6
72
96
128
Answer: A
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,5), (8,0) and (8,5). If a line through (2,2) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Choices:
1/4
4/7
1
7/4
Answer: A
Question: A single discount equivalent to the discount series of 20%, 20% and 5% is?
Choices:
39.2
31.6
31.5
31.1
Answer: A
Question: 45 is the product of two negative numbers. If the greater number is doubled, it is 1 more than the lesser number. What is the greater number?
Choices:
-5
-8
-1
-2
Answer: A
Question: Ten people take a test and the scores are 40, 45, 45, 50, 50, 60, 70, 75, 95, 100.
Find the amount of people that scored between the median and mean scores of the tests.
Choices:
Four
One
Three
Five
Answer: B
Question: The least number of complete years in which a sum of money put out at 20% compound interest will
be more than doubled is
Choices:
4 years
6 years
7 years
None of these
Answer: A
Question: (X+2) is an even number and Y is a positive odd number. Which of the following expressions cannot be even?
Choices:
(X+2)Y^2
(X+2)Y^3
Y^4
(X+2)
Answer: C
Question: A dishonest milkman sells his milk at cost price but he mixes it with water and thereby gains 25%.
What is the percentage of water in the mixture?
Choices:
20%
22%
24%
None of these
Answer: A
Question: A grocer has a sale of Rs. 5000 Rs. 5500, Rs. 6000, Rs. 6500 and Rs. 7000 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6125?
Choices:
s. 7000
s. 7271
s. 4997
s. 5000
Answer: B
Question: A man can row upstream at 26 kmph and downstream at 40 kmph, and then find the speed of the man in still water?
Choices:
37
30
33
18
Answer: C
Question: Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15%, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Choices:
974563
976442
974257
1083875
Answer: D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
10
12
20
14
Answer: A
Question: 3^2 + 3^2 + 3^2 + 3^2 =
Choices:
3^3
4^8
4^9
4^12
Answer: A
Question: If x < 12, then it must be true that...
Choices:
-x - 2 < 14
-x + 2 < -10
x + 2 < 10
x - 7 < 18
Answer: D
Question: A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 370 feet by 605 feet? (43,560 square feet = 1 acre)
Choices:
$3,360
$1,350
$360
$154.1
Answer: D
Question: A set of numbers has the property that for any number t in the set,t+2 is in the set. If -3 is in the set, which of the following must also be in the set? I. 4 II. 6 III. 3
Choices:
III only
I only
I,III only
I,II only
Answer: A
Question: From a pack of 52 cards, one card is drawn at random. Find the probability that the drawn card is a club or a jack?
Choices:
8/13
4/13
1/13
None of these
Answer: B
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Choices:
20
24
30
35
Answer: B
Question: There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?
Choices:
350 km
380 km
400 km
450 km
Answer: D
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Choices:
XB < YD
AX > XB
AX < CD
AX > AB
Answer: C
Question: Shopkeeper rise price by 35% and gives successive discount of 10% and 15%. What is overall % gain or loss?
Choices:
4.275%
3.275%
6.275%
7.275%
Answer: B
Question: A shopkeeper labeled the price of his articles so as to earn a profit of 50% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal?
Choices:
35%
17%
18%
None of these
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8 kmph
5 kmph
9 kmph
2 kmph
Answer: A
Question: A man is walking at the rate of 7 km/hr crosses a bridge in 15 minutes. The length of the bridge is
Choices:
1050 meters
1200 meters
1750 meters
None of these
Answer: C
Question: For the past n days, the average (arithmetic mean) daily production at a company was 40 units. If today's production of 90 units raises the average to 45 units per day, what is the value of n ?
Choices:
18
10
9
7
Answer: C
Question: Ayesha’s father was 38 years of age when she was born while her mother was 33 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
9 years
6 years
8 years
None
Answer: A
Question: There was a person who smoked a lot .One day he decided to quit his habbit,but he had 27 cigarettes with him.So he started smoking them one by one ,to finish them. He had the habit of smoking only 2/3rd of it and leaving the rest butt. Latter he found out that by joining 3 butts he can form 1 cigarette. So ,tell how many cigarettes in all he smoked.
Choices:
40
50
60
45
Answer: A
Question: Richard walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:30. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 40 meters. What is Richard's speed in meters per minute?
Choices:
75
198
216
252
Answer: A
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
1.2
1.6
1.1
Answer: A
Question: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 12 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?
Choices:
3
7.2
7.8
9
Answer: A
Question: What is the difference between the place value of 2 in the numeral 7669?
Choices:
165
180
190
540
Answer: D
Question: A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone
can do the whole work in
Choices:
15 days
9 days
8 days
None of these
Answer: A
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
Choices:
Rs. 484000
Rs. 502000
Rs. 503000
Rs. 504000
Answer: D
Question: There are 7 non-collinear points. How many triangles can be drawn by joining these points?
Choices:
35
8
7
6
Answer: A
Question: Nine fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
72
81
84
88
Answer: A
Question: In a kilometer race, A beats B by 48 meters or 6 seconds. What time does A take to complete the race?
Choices:
119
110
109
12
Answer: A
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
Choices:
90 sec
67 sec
28 sec
27 sec
Answer: A
Question: The radius of a wheel is 12.6 cm. What is the distance covered by the wheel in making 200 resolutions?
Choices:
704 m
153.256 m
158.256 m
204 m
Answer: C
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choices:
12
15
20
25
Answer: B
Question: A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price. If the retailer decreases the retail price by 20 percent this will have the same effect as increasing the wholesale price by what percent?
Choices:
37.5
42
44
50
Answer: C
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the
child 5 years ago was 20 years. The present age of the husband is
Choices:
40
45
55
65
Answer: A
Question: Average between two sets of numbers is closer to the set withmore numbers?
Choices:
80
90
92
94
Answer: A
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
230
245
355
345
Answer: B
Question: the difference between principal amount and simple interest is 100.the rate and time are 5% and 3 years respectively.calculate principal amount.
Choices:
122.32
126.36
115.52
117.64
Answer: D
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 5 years at 20% per annum is Rs.75 of money?
Choices:
6845
2598
1875
2600
Answer: C
Question: The sale price sarees listed for Rs.200 after successive discount is 20% and 10% is?
Choices:
124
172
144
175
Answer: C
Question: A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 65 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
Choices:
8.75
7.75
9.50
9.75
Answer: D
Question: At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
Choices:
15
19
20
21
Answer: A
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
17/29
17/21
P(EᴜP) =17/20
17/212
Answer: C
Question: A person bought 129 glass bowls at a rate of Rs. 11 per bowl. He sold 118 of them at Rs. 15 and the remaining broke. What is the percentage gain for A?
Choices:
2900/129
2430/70
2791/11
2719/8
Answer: A
Question: 14, 28, 20, 40, 32, 64, ?
Choices:
56
58
48
68
Answer: A
Question: If the sum of a number and its square is 182, what is the number?
Choices:
13
39
45
None
Answer: A
Question: Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively
Choices:
17
13
15
18
Answer: A
Question: The population of a bacteria culture doubles every 1 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
Choices:
9
14
16
18
Answer: A
Question: A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.40 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?
Choices:
1.20x
5.60x
1.60x
3.20x
Answer: B
Question: The function g(x)g(x) is defined as the greatest integer less than or equal to xx, while the function h(x)h(x) is defined as the least integer greater than or equal to xx. What is the product g(1.7)×h(2.3)×g(−1.7)×h(−2.3)?
Choices:
9
12
16
24
Answer: B
Question: Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 12 seconds. The length of the faster train is
Choices:
270 m
120 m
180 m
None
Answer: A
Question: What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular hexagon?
Choices:
1/3
1/2
2/3
7/9
Answer: C
Question: P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?
Choices:
15
18
20
22
Answer: B
Question: For which of the following functions does f(−k)=−f(k) for all real number values of x?
Choices:
−k^6
k^5/k^7
k^9
k^4/k^2
Answer: C
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 60 ps per meter is?
Choices:
369
150
279
361
Answer: B
Question: During a trip on an expressway, Ron drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
Choices:
50%
x/12%
60/x%
500/x%
Answer: D
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 4:3. The ratio of economy cars to sport utility vehicles is 6:5. What is the ratio of luxury cars to sport utility vehicles?
Choices:
9:10
3:2
2:3
1:2
Answer: A
Question: Simplify 586645 * 9999
Choices:
5865863355
4865863355
4665863355
4556834553
Answer: A
Question: The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is :
Choices:
1%
20%
80%
None
Answer: B
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6 sec
3 sec
9 sec
5 sec
Answer: A
Question: What is the ratio of 5/7 to the product 3*(7/3)?
Choices:
1:3
5:49
1:7
3:49
Answer: B
Question: Look at this series: 1000, 200, 40, ... What number should come next?
Choices:
8
15
20
25
Answer: A
Question: A person walking at 10 Kmph reaches his office 10 minutes late. If he walks at 15 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?
Choices:
15km
8km
10km
20km
Answer: C
Question: How many zeroes are there at the end of the number N, if N = 100! + 200! ?
Choices:
49
20
48
24
Answer: D
Question: Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
Choices:
77
33
80
12
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
Choices:
780
760
750
459
Answer: C
Question: The volume of a cube is 1728 cc. Find its surface.
Choices:
864
299
268
191
Answer: A
Question: A is twice as good workman as B, and together they complete a work in 3 days. In how many days can the work be complete by B alone?
Choices:
65 days
9 days
75 days
95 days
Answer: B
Question: The sum of three integers A, B and C is 240. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
Choices:
130
125
140
145
Answer: C
Question: Solve
(x-a)*(x-b)*(x-c)*...........(x-z)=?
Choices:
0
1
2
3
Answer: A
Question: The water from one outlet, flowing at a constant rate, can fill a swimming pool in 5 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 3 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
Choices:
1.87
2.50
3.21
4.56
Answer: A
Question: In a game of 100 points, A can give B 10 points and C 15 points. then how many points can B give C in a game of 70?
Choices:
3.89
1.89
11.89
5.89
Answer: A
Question: If it is true that x > -3 and x < 7, which of the following must be true?
Choices:
x < -7
x < 3
-3 < x < 7
none of the above.
Answer: C
Question: A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different R arrangements of plays can be run, if the same play can’t be run more than once?
Choices:
125
243
504
729
Answer: C
Question: The area of a square is equal to five times the area of a rectangle of dimensions 27 cm * 16 cm. What is the perimeter of the square?
Choices:
240
340
144
122
Answer: C
Question: A present value of a machine is $900. Its value depletion rate is 10% per annum then find the machine value after 2 years?
Choices:
$810
$915
$715
$729
Answer: D
Question: How many 7 digit number are there having the digit 3 three times & the digit 0 four times ?
Choices:
15
18
19
25
Answer: A
Question: If 60% of a number is equal to one half of another number, what is the ratio of first number to the second number?
Choices:
5:6
6:5
5:4
2:5
Answer: A
Question: How much is 80% of 40 is greater than 4/5 of 30?
Choices:
27
8
12
81
Answer: B
Question: A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes Bil can make using this recipe?
Choices:
5
7
8
9
Answer: A
Question: If n is an even integer, which of the following must also be an even integer?
Choices:
(n+1)^2
n + 1
3n + 1
n^2 + 1
Answer: A
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 6 years hence?
Choices:
59
62
70
72
Answer: D
Question: Nitin ranks 23th in a class of 60 students. What is rank from the last ?
Choices:
38
32
28
19
Answer: A
Question: Speed of a boat in standing water is 9 kmph and the speed of the stream is 6 kmph. A man rows to place at a distance of 210 km and comes back to the starting point. The total time taken by him is:
Choices:
24 hours
84 hours
48 hours
None
Answer: B
Question: If ( log 5 5) (log 4 9) (log 3 2) is equal to
Choices:
1
2
5
7
Answer: A
Question: John has taken four (4) tests that have an average of 84. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
Choices:
93
92
94
97
Answer: A
Question: When positive integer V is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
Choices:
b. k -11
c. 4k + 2
d. (k-3)/3 +2
e. V/3
Answer: D
Question: A right triangle ABC has to be constructed in the xy-plane so that the right angle is at A and AB is parallel to x axis. The coordinates of A, B and C are to satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. The numbers of different triangles that can be constructed with these properties are?
Choices:
336
567
3024
5040
Answer: C
Question: At what rate percent on simple interest will Rs.1500 amount to Rs.2000 in 5 years?
Choices:
8.33 %
2 6/7 %
5 %
6 %
Answer: A
Question: How many numbers from 2 to 7 are exactly divisible by 2?
Choices:
3
5
8
9
Answer: A
Question: A and B started a business investing Rs. 90,000 and Rs 25,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choices:
3:2
18:20
18:5
17:4
Answer: C
Question: How many integers between 500 and 1000 are there such that their unit digit is even?
Choices:
250
500
100
200
Answer: A
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Choices:
15
17
888
99
Answer: A
Question: What is the probability of getting a sum 9 from two throw of a dice?
Choices:
1/8
1/9
1/12
1/13
Answer: B
Question: The length of a rectangular garden is three times its width. If the area of the rectangular garden is 507 square meters, then what is the width of the rectangular garden?
Choices:
11
12
13
14
Answer: C
Question: The goalkeeper of a Hockey team is 31 years old and the captain is 4 years older and the team size is 11. 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:
28.5 years
25 years
none of the above
Cannot be determined
Answer: A
Question: The difference between compound interest and simple interest on a sum for 3 years at 10% p.a. is Rs.124 Find the sum.
Choices:
Rs.4000
Rs.6000
Rs.8000
Rs.7000
Answer: A
Question: Points X, Y, and Z lie, in that order, on a straight railroad track. The distance from point X to point Y is twice the distance from point Y to point Z. A train traveled from point X to point Z without stopping. The train's average speed when traveling from point X to point Y was 100 miles per hour and the train's average speed when traveling from point Y to point Z was 75 miles per hour. What was the train's average speed, in miles per hour, when traveling from point X to point Z?
Choices:
90
85.5
70
90
Answer: A
Question: The mass of 1 cubic meter of a substance is 700 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
1.42
8.0
12.5
80.0
Answer: A
Question: An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 9 candidates for the 4 consultant slots. If 2 out of 9 consultants refuse to be on the same team, how many different teams are possible?
Choices:
630
740
820
980
Answer: A
Question: Baker Raj is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
Choices:
300
252
225
210
Answer: D
Question: If the number 5 * 2 is divisible by 6, then * = ?
Choices:
2
5
6
1
Answer: A
Question: Three partners A, B, C in a business invested money such that 3(Aâ€™s capital) = 6(Bâ€™s capital) = 9(Câ€™s capital) then, The ratio of their capitals is
Choices:
6 : 3 : 2
36 : 54 : 28
63 : 45 : 35
None of these
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. 9720
Rs. 10123.20
Rs. 10483.20
None of these
Answer: B
Question: if log 7 = 0.845098, the number of digits in 7128 is
Choices:
120
109
280
110
Answer: C
Question: 1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$125
$145
$135
$155
Answer: B
Question: A box contain Red, Blue and Green colored balls. The number of Red balls is 80 and the number of Blue balls is 60.
The number of Green balls subtracted from the number of Red balls is the same as the number of Green balls added with the number of Blue balls. Then the number of Green balls is?
Choices:
70
60
85
140
Answer: A
Question: On the x y plane, there are 8 points of which 4 are collinear. How many straight lines can be formed by joining any 2 points from the 8 points ?
Choices:
22
20
23
56
Answer: C
Question: three men invested sum. and their ratio is 5:7:6. profit is 9000.then b's share
Choices:
2100
2200
2300
3500
Answer: D
Question: The average runs of ten batsmen is 25. If three players whose marks are 3,8 and 4 are removed , then find the approximate average runs of the remaining players.
Choices:
34
55
29
52
Answer: A
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
237
197
285
171
Answer: C
Question: James and David work at a grocery shop with 6 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that James and David will both be chosen?
Choices:
1/22
1/23
1/25
1/15
Answer: D
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Choices:
240
77
266
121
Answer: A
Question: You collect pens. Suppose you start out with 7. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?
Choices:
39
41
42
43
Answer: A
Question: A drum contains 4 red balls, 3 blue balls and 2 white balls. Three balls are removed (no replacement) what is the probability that there will be one of each?
Choices:
21
24
25
28
Answer: A
Question: Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$231
$156
$145
$200
Answer: C
Question: Sivagami is 2 years elder than Meena. After 6 years the total of their ages will be 7 times of their current age. Then age of Sivagami is :
Choices:
17 years
15 years
data inadequate
16 years
Answer: C
Question: The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the sum and the number if the ratio between the digits of the number is 1:2 ?
Choices:
8
10
14
15
Answer: A
Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 25%?
Choices:
37.6%
38.5%
17.1%
37.2%
Answer: C
Question: In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?
Choices:
9/10
2/5
3/5
½
Answer: A
Question: The points A(0, 0), B(0, 4a - 5) and C(2a + 3, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
Choices:
116
118
119
120
Answer: C
Question: A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is?
Choices:
27 runs
48 runs
28 runs
29 runs
Answer: B
Question: The average of five numbers id 27. If one number is excluded,the average becomes 25. The excluded number is
Choices:
27
30
35
34
Answer: C
Question: Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
Choices:
3:10
3:16
3:11
3:12
Answer: A
Question: Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Choices:
(1/8)
(2/8)
(1/16)
None
Answer: A
Question: If x/(11p) is an odd prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Choices:
33
44
66
99
Answer: C
Question: Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
Choices:
8.2
2.9
2.1
2.6
Answer: B
Question: The sum of two numbers is 65. Their difference is 5. The bigger number is
Choices:
25
30
35
45
Answer: C
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Choices:
150
177
167
190
Answer: A
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
2/41
9/42
3/37
4/49
Answer: B
Question: A 600 m long train crosses a tree in 60sec, how much time will It take to pass a platform 450 m long?
Choices:
190
188
188
105
Answer: D
Question: √4 percent of 4√4 =
Choices:
0.16
0.18
0.2
0.19
Answer: A
Question: Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 11 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
Choices:
190
132
170
60
Answer: B
Question: The length of a rectangle is 2 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?
Choices:
50 square inches
68 square inches
89 square inches
92 square inches
Answer: A
Question: Nicky and Cristina are running a 500 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Choices:
45
40
35
30
Answer: D
Question: The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
Choices:
75 kg
80 kg
85 kg
95 kg
Answer: C
Question: If (a – b) is 11 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is:
Choices:
2
3
4
5
Answer: C
Question: If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a40 is equal to ?
Choices:
b. 5*2^99+6
c. 6*2^99+5
d. 6*2^39- 5
e. 6*2^99-6
Answer: C
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
Choices:
36.5
19.5
18.2
17.9
Answer: A
Question: he number of times a bucket of capacity 4 liters to be used to fill up a tank is less than number of ties another bucket of capacity 3 liters used for the same purpose by 4. What is the capacity of the tank?
Choices:
256
48
525
425
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:
5:19
5:13
5:11
5:16
Answer: D
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
Choices:
3
5
2
0
Answer: C
Question: A bicyclist's wheel has a circumference of 8 meters. if the bicyclist covers 160 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
Choices:
3
4
5
6
Answer: B
Question: What is the tens digit of 36^30?
Choices:
7
5
3
9
Answer: A
Question: . If A is 35% greater than B then how much percentage is B smaller than A?
Choices:
16 2/3%
16%
17%
None of these
Answer: A
Question: Which of the following could be the sides of an obtuse angled triangle?
I. 51, 29, 100
II. 10,110, 60
III. 40 ,20 70
Choices:
II only
III only
I and II only
I, II and III
Answer: C
Question: k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?
Choices:
Rs. 2500
Rs. 2160
Rs. 3000
None of these
Answer: B
Question: 5 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
Choices:
6
16
24
256
Answer: C
Question: The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.430 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
Choices:
465
430
450
510
Answer: A
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,80,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
60000
50000
72000
90000
Answer: C
Question: A rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
Choices:
88ft
74ft
11ft
66ft
Answer: B
Question: In Township K each property is taxed at 10 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $28,000, by how much will the property tax increase?
Choices:
$800
$600
$400
$500
Answer: A
Question: a natural numbr has exactly 10 divisors including 1 and itself.how many distint prime factors this natural numbr will have?
Choices:
1 or2
1 or 2or 3
2 or 3
2 or 5
Answer: A
Question: If c is a positive integer, which of the following could NOT be the square of c?
Choices:
5,004,169
4,999,696
4,995,225
4,990,752
Answer: D