antoine-444/aqua_rat_dataset huggingface dataset:
Question: The speed of a boat in still water is 14 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 8 minutes is
Choices:
2.5 km
3.6 km
4 km
None of these
Answer: A
Question: The sum w of prime numbers that are greater than 60 but less than 70 is
Choices:
128
191
197
260
Answer: A
Question: A plant manager must assign 12 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 4 new workers. How many different ways can she assign the new workers?
Choices:
1485
3300
4860
5400
Answer: A
Question: If a - b =2 and
a2+b2=36
, find the value of ab.
Choices:
16
48
12
62
Answer: A
Question: Tom bought 2 shares and sold them for $88 each. If he had a profit of 10% on the sale of one of the shares but a loss of 12% on the sale of the other share, then on the sale of both shares Tom had
Choices:
a loss of $4
a profit of $8
a loss of $8
neither a profit nor a loss
Answer: A
Question: Machine A produces 100 parts thrice as fast as Machine B does. Machine B produces 100 parts in 30 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?
Choices:
80
40
60
50
Answer: C
Question: By investing in 1623% stock at 64, one earns Rs. 1500. The investment made is
Choices:
Rs. 7500
Rs. 5640
Rs. 5760
Rs. 6760
Answer: C
Question: In a game of 80 points; A can give B 5points and C 15 points. Then how many points Bcan give C in a game of 60 ?
Choices:
8
10
11
12
Answer: A
Question: The area of a square is equal to three times the area of a rectangle of dimensions 49 cm * 27 cm. What is the perimeter of the square?
Choices:
264 cm
252 cm
324 cm
296 cm
Answer: B
Question: There are 6 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?
Choices:
6/16
4/16
5/11
4/10
Answer: C
Question: When 5 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
Choices:
150
60
27
11
Answer: A
Question: A dozen eggs and 10 pounds of grapes are currently at the same price. If the price of a dozen eggs rises by 7 percent and the price of oranges rises by 3 %. How much more will it cost to buy a dozen eggs and 10 pounds of oranges .
Choices:
4%
5%
15%
10%
Answer: D
Question: Kathleen can paint a room in 4 hours, and Anthony can paint an identical room in 5 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
Choices:
40/9
15/8
9/4
15/4
Answer: A
Question: 12 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
132
210
220
225
Answer: A
Question: What is 15 percent of 34
Choices:
5.1
3.1
2.1
None of these
Answer: A
Question: If two positive numbers are in the ratio 1/9 : 1/5, then by what percent is the second number more than the first?
Choices:
70%.
60%.
68%.
80%.
Answer: D
Question: The average (arithmetic mean) of 4 positive integers is 40. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?
Choices:
69
100
109
115
Answer: A
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Choices:
3/7
2/5
3/11
3/13
Answer: B
Question: The measurements obtained for the interior dimensions of a rectangular box are 60 cm by 60 cm by 90 cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closes maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements?
Choices:
14,600
14,400
14,700
14,800
Answer: B
Question: On 14th Aug, 2001 Tuesday falls. What day of the week was it on 14th Aug, 2000?
Choices:
Monday
Wednesday
Thursday
Friday
Answer: A
Question: John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam two years ago?
Choices:
4
6
8
16
Answer: A
Question: The average of first five prime numbers greater than 20 is?
Choices:
32.9
32.3
32.2
32.1
Answer: C
Question: A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hour?
Choices:
7.2 km/hr
8.9 km/hr
9 km/hr
9.2 km/hr
Answer: A
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
17 : 5
19 : 8
19 : 5
29 : 5
Answer: C
Question: Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 36/49, what is the probability that the next one she draws will be pink?
Choices:
1/7
3/7
16/49
40/49
Answer: A
Question: If 15 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Choices:
165 days.
49 days.
48 days.
67 days.
Answer: A
Question: 0,9,1,2,8,7,3,4,6,5,?
Choices:
6
5
7
8
Answer: B
Question: In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many T eggs does the plant process per day?
Choices:
300
400
3,000
4,000
Answer: B
Question: 36 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
66
88
44
281
Answer: C
Question: A certain box has 12 cards and each card has one of the integers from 1 to 12 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 12 cards?
Choices:
1/11
3/34
4/45
5/56
Answer: A
Question: In a can, there is a mixture of milk and water in the ratio 4:3. If the can is filled with an additional 8 liters of milk, the can would be full and the ratio of milk and water would become 2:1. Find the capacity of the can?
Choices:
36
32
28
24
Answer: A
Question: A van takes 6 hours to cover a distance of 378 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
70 Kmph
42 Kmph
90 Kmph
Answer: C
Question: A day-trader plans to invest a total of $23,200 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
Choices:
$3,000
$3,600
$3,800
$3,900
Answer: B
Question: A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
Choices:
11
13
14
15
Answer: A
Question: If a square mirror has a 20-inch diagonal, what is the approximate perimeter E of the mirror, in inches?
Choices:
60
80
100
120
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.25 km and 1.00 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
9
7
67
54
Answer: D
Question: A family pays $800 per year for an insurance plan that pays 60 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
Choices:
$1,200
$1,400
$1,600
$2,000
Answer: C
Question: The sum of ages of 4 children born 2 years different each is 36 years. What is the age of the Elder child?
Choices:
9
10
12
17
Answer: C
Question: In a throw of a coin probability of getting a head.
Choices:
2/3
1/4
2/5
1/2
Answer: D
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Choices:
2560
3200
3400
3158
Answer: D
Question: Find the angle between the hour and the minute hand of a clock when the time is 3.25.
Choices:
47 ½
55 ½
57 ½
None
Answer: A
Question: A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
Choices:
10
9
8
7
Answer: B
Question: According to a 2010 census, males account for 51.27% of China's 1.34 billion people, while females made up 48.73% of the total. Which answer is closest to the ratio of male to female?
Choices:
1.1 to 1
8 to 1
0.5 to 1
0.8 to 1
Answer: A
Question: A salt manufacturing company produced a total of 2000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
Choices:
85
83
95
00
Answer: B
Question: 3*11+3*12+3*15+11=?
Choices:
125
130
148
151
Answer: A
Question: Yesterday's closing prices of 1,980 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
Choices:
1080
1,100
1,320
1,694
Answer: A
Question: On a weekend, 3 friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?
Choices:
$110
$225
$54
$75
Answer: A
Question: P and Q started a business investing Rs. 85,000 and Rs. 20,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:0
17:4
17:2
17:3
Answer: B
Question: For all numbers m and n, the operation @ is defined by m@n = m^2 - mn. If xy ≠ 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y)
Choices:
I and II
I and III
II and III
All of the above
Answer: A
Question: If x = 3 and y = 2, what is the value of 5(x-y)^2 - xy ?
Choices:
-7
-1
-2
-5
Answer: B
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
9:31
9:35
9:37
9:32
Answer: A
Question: If Henry were to add 8 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
Choices:
40
64
80
96
Answer: B
Question: a dealer buys 4 varieties of rice costing rs. 30,rs.40,rs.60 and rs.80 per kg in the ratio 4:5:4:3 and mixes all the four varieties and sells at 30% profit. What is the selling price per kg of rice?
Choices:
65
66
67
69
Answer: A
Question: A primitive village follows a strange custom. They have babies only to have a boy. Whenever a boy is born in a family, they stop having babies and whenever a girl is born, they have a baby again and again till a boy is born.
The probability of having a boy is same as the probability of having a girl. What will be the proportion of boys to girls in the village after some time?
Choices:
1:1
1:3
1:4
1:5
Answer: A
Question: (3x + 2) (2x - 1) = ax^2 + kx + n . What is the value of a - n + k ?
Choices:
8
9
10
11
Answer: B
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 1.5% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Choices:
6.12%
8%
8.25%
10%
Answer: A
Question: 48.95-32.006=?
Choices:
16.35
16.89
16.944
None of them
Answer: C
Question: Joe bought a coffee maker for a 25% off the original price. If the coffee maker cost him $61.35, what is the original selling price of the coffee maker?
Choices:
$107.36
$83.45
$79.80
None of these.
Answer: D
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:
299
276
750
211
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
180 metres
324 metres
150 metres
180 metres
Answer: C
Question: On Saturday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up X percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of X?
Choices:
30%
33 1⁄3%
40%
50%
Answer: D
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 20 other employees of Company K, how many employees does Company K have?
Choices:
80
190
200
400
Answer: A
Question: What is the angle between the two hands of a clock when time is 8:30
Choices:
45 degree
55 degree
75 degree
65 degree
Answer: C
Question: During a sale, the price of a pair of shoes is marked down 12% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Choices:
10%
11%
14%
90%
Answer: C
Question: In how many ways can 5 boys be allotted four different wadrobe such that none of the wadrobe are empty and all the 5 boys are accommodated?
Choices:
290
240
260
280
Answer: B
Question: What is the remainder when 8^1 + 8^2 + 8^3 +...+ 8^9 is divided by 2?
Choices:
3
2
None of the above
5
Answer: C
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
100
110
140
130
Answer: A
Question: Bruce purchased 8kg of grapes at the rate of 70 per kg and 8 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1050
C)1000
D)1065
E)1075
Answer: B
Question: A certain pair of used shoes can be repaired for $10.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $30.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
Choices:
42.85
48
38
40
Answer: A
Question: Sujit incurred a loss of 45% on selling an article for Rs.3630/-. What was the cost price of the article?
Choices:
Rs.6600/-
Rs.6250/-
Rs.6750/-
None of these
Answer: A
Question: AF + CD = AAA, where AF and CD are two-digit numbers and AAA is a three digit number; A, F, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Choices:
3
7
9
Cannot be determined
Answer: C
Question: A volume of 10996 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
Choices:
8231
2734
4222
2749
Answer: D
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 45° of the chart, how much of the Roberts’s $20,000 annual budget is dedicated to clothes and shoes?
Choices:
$2,500
$4,500
$5,000
$5,400
Answer: A
Question: In what time will a train 300 meters long cross an electric pole, if its speed is 90 km/hr
Choices:
12 seconds
3 seconds
2.5 seconds
None of these
Answer: A
Question: A river 3m deep and 55 m wide is flowing at the rate of 1 kmph the amount of water that runs into the sea per minute is?
Choices:
2748.9
2148.9
2745.9
2718.9
Answer: A
Question: For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d d feet from the source is given by the formula S=60k/d^2 60, where k is a constant. If the intensity of the light is 30 candles at a distance of 2 feet from the source, what is the intensity of the light at a distance of 10 feet from the source?
Choices:
1/2 candles
1 1/3 candles
6/5 candles
3 candles
Answer: C
Question: A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Choices:
22
58
2
69
Answer: C
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.7000. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Choices:
s. 400
s. 600
s. 800
s. 875
Answer: D
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 34 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
Choices:
4
5
6
8
Answer: A
Question: If (1+a)y=y, which of the following must be true?
Choices:
a=0 or y=0
a=1 or y=1
a=-1 or y=-1
a=0 or y=1
Answer: A
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
8
6
4
2
Answer: A
Question: A woman sold 200 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 4 for 85 cents. How many were sold at the first rate?
Choices:
21
9
15
12
Answer: D
Question: What will come in place of the x in the following Number series? 75, 225, x, 2025, 6075
Choices:
675
300
400
1200
Answer: A
Question: Graph G has a line of symmetry of x = –5/2. Graph G passes through the point (2, 2). What is the x-coordinate of another point that must have a y-coordinate of 2?
Choices:
–7
–5
–4
2
Answer: A
Question: There are 30 socks in a bag. 30% is in blue color. What is the probability to take two blue socks?
Choices:
12/145
13/145
14/145
22/145
Answer: A
Question: A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent R of the cost would the gross profit on the item have been if it had been sold without the discount?
Choices:
40%
50%
60%
75%
Answer: B
Question: One train is traveling 54 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Choices:
3:2
5:0
5:4
5:1
Answer: A
Question: How many ways are there to award a gold, silver and bronze medal to 14 contending teams?
Choices:
14 x 13 x 12
10!/3!
360
300
Answer: A
Question: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 36 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
Choices:
6
7
8
10
Answer: D
Question: The length, breadth and height of a room are in the ratio 3:2:1. If the breadth and height are halved, while the length is doubled. Then the total area of the 4 walls of the room will be decreased by
Choices:
30
88
22
11
Answer: A
Question: In a recent election, Geoff received 0.5 percent of the 5,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 2,571 more votes to win the election, what is the value of x ?
Choices:
54
52
60
63
Answer: B
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 45 kmph when will the owner over take the thief from the start?
Choices:
B)5
C)7
D)4
E)8
Answer: C
Question: Jenna rode her bike to school at 5 kph, but rode home at 15 kph. What was her average speed traveling to and from school?
Choices:
7 kph
10 kph
13 kph
15 kph
Answer: B
Question: If x = 1- 3t and y = 2t - 3, then for what value of t does x = y?
Choices:
3/2
4/5
2/5
0
Answer: B
Question: Bhanu spends 30% of his income on petrol on scooter 10% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
Choices:
70
128
797
120
Answer: A
Question: A letter lock consists of three rings each marked with nine different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
269
728
768
720
Answer: B
Question: he population of a city is 150,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Choices:
1697723
168540
169728
169718
Answer: B
Question: The sum of ages of 5 children born at the intervals of 3 years each is
50 years. Find out the age of the youngest child?
Choices:
5 years
4 years
3 years
2 years
Answer: B
Question: A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
Choices:
(400 - 100π) cm2
(400 – 200π) cm2
200π cm2
400π cm2
Answer: A
Question: Jimmy has 20% more cookies than Janice. What percentage of cookies should Jimmy give to Janice so that both Jimmy and Janice have the same number of cookies?
Choices:
7.7%
7.9%
8.1%
8.3%
Answer: D
Question: If paint costs $3.20 per quart, and a quart covers 10 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
Choices:
$ 16.00
$ 96.00
$108.00
$192.00
Answer: D
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least number of trees required.
Choices:
60
120
240
480
Answer: A
Question: A and B complete a job in 6 days. A alone can do the job in 15 days. If B works alone, how many days will it take to complete the job?
Choices:
10
12
14
16
Answer: A
Question: In how many a committee of 5 members can be selected from 6men
5 ladies consisting of 3 men and 2 ladies
Choices:
200
400
500
600
Answer: A
Question: The average age of a class of 20 students is 22 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
Choices:
41 years
42 years
43 years
44 years
Answer: D
Question: If the speed of X meters per minute is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)
Choices:
6x/5
18x/5
6/100x
3600000x
Answer: C
Question: The HCF of three numbers is 23. If they are in the ratio of 1 : 2 : 3, then find the numbers ?
Choices:
23, 46, 69
25, 31, 41
23, 21, 35
23, 24, 36
Answer: A
Question: The G.C.D. of 1.08, 0.34 and 0.9 is:
Choices:
0.02
0.18
0.108
None
Answer: A
Question: 100, 144, 196, 256, 324, ?, F ind the missing number(?).
Choices:
450
100
400
200
Answer: C
Question: A baseball player signs a new contract that includes a guaranteed 10 percent increase in salary over his old contract, plus a performance bonus of up to $500. If he earns the maximum possible performance bonus, his new salary including bonus will be equivalent to a 12 percent increase over his old salary. Assuming he earns the full bonus, what will his total new salary be, in dollars?
Choices:
25,000
27,500
28,000
28,500
Answer: C
Question: What is the average (arithmetic mean) of all multiples of 10 from 10 to 100 inclusive?
Choices:
195
200
205
55
Answer: D
Question: 45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
77
299
55
267
Answer: C
Question: The population of a bacteria colony doubles every day. If it was started 11 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:
768
1024
2048
4096
Answer: D
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
20/36
20/38
20/31
20/32
Answer: A
Question: ratio and addition of time on principal amount 500 with two different rate are 3:5 and 16
respectively.given rates are 2% and 3% respectively.what will be simple interest on both case?
Choices:
100,150
80,150
60,150
60,100
Answer: C
Question: In a certain lottery drawing, two balls are selected at random from a container with 200 balls, numbered from 1 to 200, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
Choices:
$9.90 x 10^6
$3.98 x 10^7
$1.05 x 10^7
$9.90 x 10^7
Answer: B
Question: What is the remainder when 1201 × 1202 ×1205 × 1210 is divided by 6?
Choices:
2
3
4
5
Answer: C
Question: The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Choices:
21
23
27
29
Answer: B
Question: A person can swim in still water at 12 km/h. If the speed of water 6 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
4
5
6
7
Answer: C
Question: Mangala completes a piece of work in 15 days, Raju completes the same work in 45 days. If both of them work together, then the number of days required to complete the work is
Choices:
7 days
8 days
9 days
11 days
Answer: C
Question: During one month at a particular restaurant, 1/4 of the burgers sold were veggie burgers and 1/4 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
Choices:
x/2
3x/3
3x/4
4x/5
Answer: B
Question: If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/8 meter, and then if the cable were cut at each mark, how many different size length of cable would result?
Choices:
2
3
4
5
Answer: B
Question: Selling an kite for Rs. 30, a shop keeper gains 25%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
10%
11%
12.5%
20%
Answer: C
Question: A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6200?
Choices:
Rs. 7070
Rs. 6020
Rs. 6850
None of these
Answer: A
Question: The simple interest on a sum of money will be Rs.900 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
1800
1200
2699
2771
Answer: A
Question: What will $2500 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
Choices:
$3980
$4210
$4320
$4760
Answer: C
Question: A boat can travel 2.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 3 KMPH, Find the speed of the boat in still water
Choices:
7
15
20
25
Answer: A
Question: You buy a piece of land with an area of âˆš1024, how long is one side of the land plot?
Choices:
29
30
31
32
Answer: D
Question: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 liters of alcohol and 8.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Choices:
6%
6 1/3%
6 2/3%
7%
Answer: D
Question: A and B complete a job in 6 days. A alone can do the job in 18 days. If B works alone, how many days will it take to complete the job?
Choices:
9
10
11
12
Answer: A
Question: Mary and Harry enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $800 more than Harry did, what was the profit made by their business in that year?
Choices:
46457457
4675
3000
3432
Answer: C
Question: A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1400. His average annual earnings would be
Source: CMAT Preparation
Choices:
$33500
$40200
$41000
$43200
Answer: D
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 62?
Choices:
69
126
68^2
68·69
Answer: B
Question: If KING is coded as 17 and MASS is coded as 29 Then DON is coded as
Choices:
20
19
18
None
Answer: C
Question: The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 12.50. The difference between their rates of interest is?
Choices:
B)2.6%
C)0.3%
D)2.0%
E)1.3%
Answer: B
Question: If 3 cm of a pencil is purple, 2 cm of the remaining is black and the remaining 1 cm is blue, what is the total length of the pencil?
Choices:
6
1
4
2
Answer: A
Question: A Grocer bought 24 kg coffee beans at price X per kg. After a while one third of stock got spoiled so he sold the rest for $200 per kg and made a total profit of twice the cost. What must be the price of X?
Choices:
44.42
44.43
44.46
44.44
Answer: D
Question: A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
Choices:
0
8
7
6
Answer: A
Question: Lucy deposited $62500 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in days, did her investment earn a total interest of $5100?
Choices:
20
30
60
180
Answer: D
Question: When Raja was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raja’s brother is 6 years older than Raja and his mother is 3 years younger than his father, how old was Raja’s sister when Raja was born?
Choices:
10
76
28
26
Answer: A
Question: Samant bought a microwave oven and paid 10 % less than the original price. He sold it with 30% profit on the price he had paid.What percentage of profit did samant earn on the original price?
Choices:
17%
27%
32%
None
Answer: A
Question: What is the least number of square tiles required to pave the floor of a room 12 m 12 cm long and 1m 20 cm broad?
Choices:
1010
814
844
None
Answer: A
Question: Find the value for x from below equation: x/3=-2?
Choices:
-6
-4
-3
1
Answer: A
Question: Three sets of 70, 50 and 60 students appeared for an examination and the pass percentage was 100, 90 and 100 respectively. the pass percentage of the whole set is
Choices:
97.9%
97.6%
97.2%
97.5%
Answer: C
Question: Excluding stoppages, the speed of a train is 55 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
Choices:
16
12
82
18
Answer: A
Question: Jacob is 39 years old. He is 3 times as old as his brother. How old will Jacob be when he is twice as old?
Choices:
64
65
76
67
Answer: B
Question: Aishwarya’s mom was 20 years of age at the time of her birth, while her mom was 15 years old when her 4 years younger sister was born. The variance between the parents ages is :
Choices:
11 years
10years
9 years
4 years
Answer: C
Question: Michele invests 1000 of her money in a mutual fund that quickly goes sour, losing 50% of its value each day for a week. Which of the following COULD be the value of Michele’s investment at the close-of-business any day that week?
Choices:
$7.81
$250.05
$1575.00
$10000.00
Answer: A
Question: 3968,3968,1984,661.33,165.33, ?
Choices:
33.06
25.36
87.89
51.42
Answer: A
Question: In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate.
Choices:
357000
277677
699377
267877
Answer: A
Question: What is the difference between the place value of 2 in the numeral 7339?
Choices:
165
180
190
270
Answer: D
Question: If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability T that N is divisible by 3?
Choices:
¼
9/25
5/16
0
Answer: C
Question: Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (p,c). If c = 2, which of the following could be the equation of line m, which is perpendicular to line L?
Choices:
2x + y = px + 7
x + 2y = px + 7
y – 7 = x ÷ (p – 2)
2x + y = 7 – px
Answer: A
Question: The C.P of 15 books is equal to the S.P of 22 books. Find his gain% or loss%?
Choices:
31 9/11%
16 2/5%
16 2/1%
16 1/3%
Answer: A
Question: Suddenly one boy tossed 3 coins. What is the probability of getting at most two heads?
Choices:
3/11
7/8
4/13
3/16
Answer: B
Question: Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion. In 8 years from now, Lyn the circus Lion will be exactly half as old as Ele, the circus Elephant. How old is Ele today?
Choices:
24
26
28
29
Answer: A
Question: What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?
Choices:
130
154
100
220
Answer: C
Question: The sum of ages of 5 children born 4 years different each is 70 yrs. What is the age of the Elder child?
Choices:
9
22
17
18
Answer: B
Question: here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
1800
2231
4510
3560
Answer: A
Question: Keats Library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 25% of the total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased?
Choices:
28%
33%
38%
43%
Answer: B
Question: A sum fetched a total simple interest of 4016.25 at the rate of 9 %.p.a. in 5 years. What is the sum?
Choices:
8032.5
8925
None of these
Cannot be determined
Answer: B
Question: Find the middle one when The sum of three consecutive even numbers is 72?
Choices:
60
78
72
62
Answer: C
Question: A man has a savings account of $500. if he receives $50.6 for every $100 as interest and pays a tax of $15.5 on every $100 how many years will it take for his savings to double.
Choices:
2.85
4.1
3.5
5.6
Answer: A
Question: What is the units digit of the product of the first 2 primes?
Choices:
2
0
4
5
Answer: A
Question: John makes $60 a week from his job. He earns a raise andnow makes $84 a week. What is the % increase?
Choices:
16.66%
16.56%
40%
18.1%
Answer: C
Question: What is the sum of all possible 3-digit numbers that can be constructed using the digits 2, 4, and 5 if each digit can be used only once in each number?
Choices:
2442
2662
2772
2882
Answer: A
Question: Elena purchased Brand X pens for $4.00 apiece and brand Y for $2.40 apiece. If Elena purchased a total of 12 of these pens for $42.00, how many brand X pens did she purchase?
Choices:
5
6
7
8
Answer: A
Question: Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest T?
Choices:
60
62
63
64
Answer: A
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
18:11
98:18
18:10
18:12
Answer: A
Question: If the price of sugar rises from Rs. 3 per kg to Rs. 5 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
Choices:
20%
25%
30%
40%
Answer: D
Question: Three cubes of sides 5 m, 4 m, and 3 m are melted to form a new cube. Find the surface of the new cube?
Choices:
256
216
246
206
Answer: B
Question: A person was asked to state his age in years.His reply was,”Take my age three years hence,multiply it by 3 and then subtract three times my age three years ago and you will know how old I am”.What was the age of the person ?
Choices:
18 years
24 years
32 years
43 years
Answer: A
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
Rs. 2000
Rs. 2400
Rs. 3400
Data inadequate
Answer: A
Question: How many two-element subsets of {2,4,6,8} are there that do not contain the element 4?
Choices:
2
3
4
5
Answer: B
Question: A man swims downstream 48 km and upstream 42 km taking 6 hours each time; what is the speed of the current?
Choices:
0.5 kmph
13 kmph
6.5 kmph
7:3kmph
Answer: A
Question: A train running at the speed of 50 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
125
278
277
112
Answer: A
Question: 6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days Z do they need to finish the same job?
Choices:
3
5
6
7
Answer: A
Question: The average weight of a class is x pounds. When a new student weighing 50 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:
85
88
90
92
Answer: A
Question: There are 10 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
Choices:
90
75
95
82
Answer: A
Question: How many two-digit numbers are there whose remainder when divided by 10 is 1, and whose remainder when divided by 7 is 6?
Choices:
4
5
6
7
Answer: C
Question: Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 1000 Km?
Choices:
25.
30.
38
50.
Answer: D
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Choices:
200
77
66
51
Answer: A
Question: If A and B are positive integers, and the remainder obtained when A is divided by B is the same as the remainder obtained when B is divided by A, which of the following is a possible value of AB?
Choices:
55
49
34
24
Answer: B
Question: Farm A had an average output of 300 kgs of wheat per acre. Farm B had an average output of 350 kgs of wheat per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 3000 kgs of wheat more than Farm A. What is the area of Farm A?
Choices:
135 acres
145 acres
164 acres
180 acres
Answer: C
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 162.The amount of the bill is
Choices:
Rs. 1350
Rs. 1575
Rs. 2268
None of these
Answer: A
Question: If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle?
Choices:
27
19
50
11
Answer: C
Question: In one hour,a boat goes 11 km along the stream and 5 km against the stream.The speed of the boat in still water (in km/hr) is :
Choices:
5
8
9
10
Answer: B
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years (20% per anum) and received $600 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $655 as interest. What was the value of his total savings before investing in these two bonds?
Choices:
3000
6000
8000
9000
Answer: A
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 38 now, the son age 5 years back was
Choices:
14
11
19
99
Answer: A
Question: A certain company employs 6 senior officers and 3 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
Choices:
24
58
60
210
Answer: C
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:
15
24
27
52
Answer: C
Question: A certain tax rate is $82 per $100.00. What is the rate, expressed as a percent?
Choices:
82%
0.82%
0.082%
0.0082%
Answer: A
Question: A number when divided b the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is:
Choices:
1250
22030
220030
None of these
Answer: C
Question: Twenty two years ago,a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is :
Choices:
132
108
105
86
Answer: A
Question: If 0.5% of A =75 paise, then the value of A is ?
Choices:
Rs. 150
Rs. 1.70
Rs. 4.25
None
Answer: A
Question: Two boys starting from the same place walk at a rate of
5kmph and 5.5kmph respectively.what time will they take to be
8.5km apart, if they walk in the same direction
Choices:
17 hrs
19 hrs
7 hrs
21 hrs
Answer: A
Question: It takes 35 identical printing presses 15 hours to print 500,000 papers. How many hours would it take 25 of these printing presses to print 500,000 papers?
Choices:
20
21
24
25
Answer: B
Question: In a company, 54 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?
Choices:
60%
65%
70%
75%
Answer: C
Question: Cost price of 12 mangoes is equal to the selling price of 9 mangoes and the discount on 10 mangoes is equal to the profit on 5 mangoes. What is the percentage point difference between the profit percentage and discount percentage?
Choices:
1.75 %
1.85 %
2 %
None of these
Answer: B
Question: The area of a square pond is A square feet and the perimeter is p feet. If 2A=4p+18, what is the perimeter of the pond, in feet?
Choices:
36
40
56
84
Answer: A
Question: A train covers a distance of 18 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
168
120
882
180
Answer: D
Question: Arun is 4 years older than Sachin, and Jai is 5 times older than Arun. If S is Sachin’s age and J is Jai’s age, what is the relationship between S and J?
Choices:
J = 5S + 20
J = 5S + 5
J = 5S − 20
J = 5S − 5
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'MOTHER' is
Choices:
767
719
287
112
Answer: B
Question: A trumpet section includes six musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?
Choices:
125
720
100
25
Answer: B
Question: What approximate value should come in place of the question mark (?) in the following equation ?
1⁄7 of 1596 + 3015 = ? – 2150
Choices:
48000
5380
58000
6300
Answer: B
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $6 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 percent, what is the discount rate on Pony jeans?
Choices:
10%
11%
35%
15%
Answer: C
Question: if log 2 = 0.30103, the number of digits in 2128 is
Choices:
39
88
28
11
Answer: A
Question: The perimeter of one face of a cube is 32 cm. Its volume will be:
Choices:
400cm3
512cm3
625cm3
None of these
Answer: B
Question: A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out?
Choices:
36 m3
40 m3
44 m3
None
Answer: C
Question: The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is?
Choices:
52:53
52:83
52:93
53:53
Answer: A
Question: Round off the given number to nearest hundreds
4765
Choices:
4800
5000
4600
4700
Answer: A
Question: What would be the local minimum for the function represented as f(x,y) = x2 +ay+y2 -3x ?
Choices:
(2,-1)
(-1,1)
(2,2)
(3,2)
Answer: A
Question: There are 25 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
167
157
352
702
Answer: D
Question: An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discountoffered on it, find its SP?
Choices:
Rs. 65
Rs. 72
Rs. 78
Rs. 85
Answer: B
Question: There are 59 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
29
32
Answer: C
Question: 3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
15/4 days
25/4 days
15/9 days
15/2 days
Answer: A
Question: If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average Q(arithmetic mean) annual increase in the index over this period?
Choices:
x/18
(100 − x)/18
(x − 100)/18
100x/18
Answer: C
Question: What is the difference between the local values of 7 in the number 57407?
Choices:
6993
3877
5077
1211
Answer: A
Question: Set A = {1, 2, 3, 4, 5, 6, s}
Which of the following possible values for s would cause Set A to have the smallest standard deviation?
Choices:
2.5
3
3.5
7
Answer: C
Question: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time E will it take to fill the bucket to full capacity?
Choices:
9/18
2
18/7
18/5
Answer: C
Question: If a car goes at 80 km/hr instead of 60 km/hr, he would have walked 30 km more. The time traveled by the car is?
Choices:
2.5 hours
3.5 hours
1.5 hours
3 hours
Answer: C
Question: Kevin, David, and Catherine each try independently to solve a problem. If their individual probabilities for success are 5/9, 2/5 and 1/2, respectively, what is the probability that only Catherine will solve the problem?
Choices:
1/5
2/3
2/15
1/15
Answer: C
Question: Of the students at a certain high school, 90 percent took a course in arithmatic or geometry and 15 percent took courses in both. If the percent of students who took a course in arithmatic was 2 times the percent of students who took a course in geometry, what percent of the students took a course in arithmatic but not geometry?
Choices:
60%
55%
50%
45%
Answer: B
Question: Radha purchased a microwave oven and a washing machine for Rs. 5000 and Rs. 30000 respectively. She sold the microwave oven at a loss of 20 percent and washing machine at a profit of 5 percent. Overall she make a.?
Choices:
450
550
500
300
Answer: C
Question: On dividing a number by 8, we get 8 as quotient and 0 as remainder. On dividing the same number by 5, what will be the remainder?
Choices:
4
8
6
5
Answer: A
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 travelled 60 km more than the other one. The distance between the two stations is?
Choices:
333 km
555 km
444 km
666 km
Answer: C
Question: The ratio of the volumes of two cubes is 27: 64. What is the ratio of their total surface areas?
Choices:
81:13
8:15
16:21
1:13
Answer: C
Question: If a is a positive integer, then a(a+1)(a+2) is
Choices:
odd whenever n is odd
divisible by 3 only when n is odd
divisible by 4 whenever n is even
even only when n is even
Answer: C