antoine-444/aqua_rat_dataset huggingface dataset:
Question: A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?
Choices:
1/6
1/5
1/3
½
Answer: A
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32
19
10
16
Answer: A
Question: Rane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
Choices:
36
70
80
150
Answer: A
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
Choices:
1/21
3/25
3/29
8/21
Answer: D
Question: 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
Choices:
80%
50%
90%
70%
Answer: A
Question: Set A: 3, e, 8, 10
Set B: 4, y, 9, 11
The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – e?
Choices:
-1
0
1
2
Answer: A
Question: A woman and a girl complete a work together in 24 days. If for the last 6 days woman alone does the work then it is completed in 26 days. How long the girl will take to complete the work alone?
Choices:
days
days
days
days
Answer: A
Question: The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 48 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
Choices:
56
57
58
59
Answer: B
Question: There were 35 students in a hostel. Due to the admission of 7 new students, the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1. What was the original expenditure of the mess?
Choices:
420
445
465
None of the above
Answer: A
Question: Mike needs 30% to pass. If he scored 212 marks and falls short by 16 marks, what was the maximum marks he could have got?
Choices:
677
760
767
832
Answer: B
Question: If A is thrice as fast as B and together can do a work in 24 days. In how many days A alone can do the work?
Choices:
42
28
32
45
Answer: C
Question: At Joel’s bookstore, the current inventory is 30% historical fiction. Of the historical fiction books, 40% are new releases, while 50% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
Choices:
12/47
2/5
8/15
2/3
Answer: A
Question: In a group of Houses,40 had dogs,30 had cats and 10 houses having both dogs and cats. what is the number of houses?
Choices:
60
40
45
50
Answer: A
Question: A transport company's vans each carry a maximum load of 13 tonnes. 12 sealed boxes each weighing 9 tonnes have to be transported to a factory. The number of van loads needed to do this is
Choices:
12
98
27
22
Answer: A
Question: Look at this series: 88, 88, 78, 78, 68, 68, ... What number should come next?
Choices:
15
58
19
11
Answer: B
Question: There are 13 South American countries, Anni has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Anni choose from?
Choices:
13.12.11.10.4
13.12.4.4.
13.12.4
13.13.13.13
Answer: B
Question: If b < 3 and 3x - 3b = 0, which of the following must be true?
Choices:
x < 2
x = 3
x < 3
D. x > 3
Answer: C
Question: Bucket A is 1/4 full of sand, and Bucket B, which has one-half the capacity of Bucket A, is 3/8 full of sand. Jana pours the contents of Bucket B into Bucket A. Bucket A is now filled to what fraction of its capacity?
Choices:
7/16
1/2
5/8
7/8
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
125/129
125/126
125/120
125/130
Answer: B
Question: Varma can read a book in k minutes. What part of the book can he read in 8 minutes?(k>8)
Choices:
8/k
83k
2/k
1/k
Answer: A
Question: A began business with Rs.27000 and was joined afterwards by B with Rs.36000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
6.5
7.5
8
2
Answer: B
Question: Helen went to the stationers and bought things worth Euro 24, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
uro 15.70
uro 13.70
uro 19.70
uro 18.70
Answer: D
Question: If a Ã— b = 2a - 3b + ab, then 3 Ã— 4 + 4 Ã— 3 is equal to :
Choices:
17
24
25
26
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150m
286m
121m
112m
Answer: A
Question: John wrote a phone number on a note that was later lost. John can remember that the number had 7 digits, the digit 1 appeared in the last three places and 0 did not appear at all. What is the probability that the phone number contains at least two prime digits?
Choices:
11/16
11/12
1/2
5/8
Answer: A
Question: Which of the following could be the value of x, if |4x – 2| = 10?
Choices:
-2
1
2
4
Answer: A
Question: A boat having a length 6 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Choices:
120 kg
89 Kg
180 Kg
110 Kg
Answer: C
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Choices:
20 min
25 min
40 min
45 min
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
2776
2988
1681
Answer: A
Question: Twelve years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Choices:
B)34
C)42
D)25
E)26
Answer: B
Question: The average of five consecutive odd numbers A, B, C, D and E is 25. What percent of E is C ?
Choices:
86.2
56.8
88.9
89.9
Answer: A
Question: The ratio 3 : 5 expressed as a percent equals
Choices:
60%
80%
125%
None
Answer: A
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
Choices:
9/10
1/5
3/10
1/2
Answer: B
Question: Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 50 km more than the other. What is the distance between the two stations?
Choices:
767 km
276 km
450 km
176 km
Answer: C
Question: If Josh, Doug, and Brad have a total of $77 between them, and Josh has three times as much money as Brad but same as much as Doug, how much money does Doug have?
Choices:
$9
$27
$33
$36
Answer: C
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
Choices:
18 years
20 years
22 years
None
Answer: C
Question: 8 : 4 seconds :: ? : 4 minutes
Choices:
8
20
25
30
Answer: A
Question: David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
Choices:
5000
2977
2678
2611
Answer: A
Question: The perimeter of a square is 48 cm. The area of a rectangle is 4 cm2 less than the area of the square. If the length of the rectangle is 14 cm, then its perimeter is
Choices:
48
52
56
58
Answer: A
Question: The LCM and HCF of two numbers are 8 and 48 respectively. If one of them is 24, Find the other ?
Choices:
14
15
16
20
Answer: C
Question: In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 20 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
Choices:
2380/60^2
2390/60^2
3586/60
60^2/3590
Answer: A
Question: 111 = O
222 = E
333 = T
444 = S
Reading and analyzing the above, can you find out the following ?
555 = ?
Choices:
3
1
5
0
Answer: D
Question: 8 people decided to split the restaurant bill evenly. If the bill was $214.15 dollars, how much money did they 1 cent is the smallest unit?
Choices:
$214.16
$214.18
$214.19
$214.20
Answer: A
Question: In how many ways a committee, Consisting of 2 men and 6 women can be formed from 8 men and 10 women?
Choices:
5880
11760
5040
720
Answer: A
Question: what is the least number. which should be added to 0.0320 to make it a perfect square?
Choices:
0.0004
0.0006
0.0002
0.0001
Answer: A
Question: If 16% of 40% of a number is 3, then the number is
Choices:
225
46.875
320
None of these
Answer: B
Question: If a > 0 and b < 0, which of the following are true?
I. a/b < 0
II. b/a < 0
III. a + b < 0
Choices:
II only
III only
I and II only
I, II, and III
Answer: C
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?
Choices:
3 : 2 : 4
3: 2 : 1
3: 4 : 7
none
Answer: C
Question: In the seventh grade at Parkway elementary school there are 450 students. 310 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choices:
73.
81.
91.
105.
Answer: D
Question: The area of sector of a circle whose radius is 12 metre and whose angle at the center is 42° is?
Choices:
57.8 m2
52.8 metre sq
72.8 m2
52.8 m2
Answer: B
Question: Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 5: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?
Choices:
5: 00 p.m.
5: 20 p.m.
5: 35 p.m.
7: 20 p.m.
Answer: D
Question: The average of 1st 3 of 4 numbers is 6 and of the last 3 are 5. If the sum of the first and the last number is 11. What is the last numbers?
Choices:
4
6
7
8
Answer: A
Question: In a box of 12 pens, a total of 4 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
2/33
14/33
9/16
3/44
Answer: B
Question: Insert the missing number
1, 8, 27, 64, 125, 216, (....)
Choices:
343
354
392
245
Answer: A
Question: If Rahul rows 15 km upstream in 3 hours and 21 km downstream in 3 hours, then the speed of the
stream is
Choices:
4 km/hr
2 km/hr
1 km/hr
None of these
Answer: C
Question: Which of following is a leap year ?
Choices:
2800
1800
2600
3000
Answer: A
Question: if Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
11y/x
x/11y
12x/y
xy/11
Answer: C
Question: If QR = 3(Q+ 1) + R and Q and R are integers,Q could be any of the following values EXCEPT:
Choices:
3
12
4
7
Answer: B
Question: Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
Choices:
35 years
77 years
88 years
16 years
Answer: A
Question: If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 5
II. 15
III. 20
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: C
Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
Choices:
147
189
063
027
Answer: B
Question: Jane bought some pairs of pants on sale for 15% off the original price and received an additional 20% discount for buying three pairs. If one of the pairs of pants cost $10 after both discounts, what was the original price of that pair?
Choices:
$20.25
$20
$14.71
$10.35
Answer: C
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
Rs.2000
Rs.2020
Rs.2720
Rs.2026
Answer: A
Question: In an engineering class that contained 75 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
Choices:
6
10
12
24
Answer: A
Question: What is the total number of prime numbers less than 70?
Choices:
18
19
20
21
Answer: B
Question: What amount does Kiran get if he invests Rs.5600 at 9% p.a. compound interest for two years, compounding done annually?
Choices:
6653
6400
5678
6886
Answer: A
Question: A boat can move upstream at 20 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
7.5 kmph
8 kmph
9 kmph
4 kmph
Answer: A
Question: How many times in a day, are the hands of a clock in straight line but opposite in direction?
Choices:
22
24
48
36
Answer: A
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
Rs.6120
Rs.6119
Rs.6150
Rs.6151
Answer: C
Question: In a 1000 m race, A beats B by 100 meters or 25 seconds. Find the speed of B?
Choices:
9
7
5
4
Answer: D
Question: Two persons start from two places 160 km apart at the same time with velocities 50 km/hr and 30 km/hr. move in opposite direction. Where they meet ?
Choices:
50 km from B
100 km from A
70 km from B
None of these
Answer: B
Question: A rectangular tank needs to be coated with insulation. The tank has dimensions of 3 feet, 5 feet, and 2 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?
Choices:
$1240
$1360
$1480
$1550
Answer: A
Question: If A^2 + B^2 = 10 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2?
Choices:
20
30
60
70
Answer: A
Question: The largest 4 digit number exactly divisible by 88 is:
Choices:
6287
7631
9944
6736
Answer: C
Question: The average of runs of a cricket player of 10 innings was 30. How many runs must he make in his next innings so as to increase his average of runs by 4?
Choices:
74
10
76
17
Answer: A
Question: Tough and Tricky questions: Combinations.
Six contestants representing four different countries advance to the finals of 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:
7
12
18
24
Answer: C
Question: A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?
Choices:
178 days
185 days
175 days
675 days
Answer: C
Question: When positive integer n is divided by 3, the remainder is 2. When n is divided by 5, the remainder is 5. How many values less than 100 can n take?
Choices:
0
3
4
5
Answer: A
Question: the largest four-digit number which is a perfect cube, is
Choices:
9261
9999
None of these
Cannot be determined
Answer: A
Question: The end of a blade on an airplane propeller is 20 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
Choices:
240π
600π
480π
1,200π
Answer: B
Question: A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Choices:
39 sec
36 sec
29 sec.
19 sec.
Answer: A
Question: In an engineering class that contained 25 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
Choices:
2
10
12
24
Answer: A
Question: If x*y = xy – 2(x + y) for all integers x and y, then 1* (–3) =
Choices:
–11
–4
4
1
Answer: D
Question: Presently the ratio between the ages of Dan and James is 6:5. after 4 years Dan will be 28. What is the present age of James?
Choices:
20
21
18
22
Answer: A
Question: Of the 3,600 employees of Company X, 1/4 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?
Choices:
22.2%
20%
12.5%
11.1%
Answer: B
Question: The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.8.4. The true discount is
Choices:
Rs.70
Rs.54
Rs.50
none
Answer: A
Question: Working individually, Allison can sew dresses for 9 hours and Al can sew dresses in 12 hours. If Allison and Al work together but independently at the task for 3 hours, at which point Al leaves, how many remaining hours will it take Allison to complete the task alone?
Choices:
45/12
40/33
34/12
43/5
Answer: A
Question: What is the probability for a family with four children to have two boys and two girls (assuming the probability of having a boy or a girl is equal)?
Choices:
1/4
1/8
3/8
5/16
Answer: C
Question: Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 20,the first number is :
Choices:
23
77
99
27
Answer: A
Question: 6x – 5y + 3z = 26
4x + 8y – 11z = 7
5x – 6y + 2z = 12
Given the equations above, x + y + z = ?
Choices:
12
13
14
15
Answer: C
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 9000
interest only for the period. The principal amount borrowed by her was
Choices:
Rs. 25000
Rs. 15000
Rs. 20000
None of these
Answer: A
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Choices:
53%
54%
55%
57%
Answer: A
Question: On a scale of a map 0.6 cm represents 6.6km. If the distance between two points on the map is 80.5 cm , what is the the actual distance between these points?
Choices:
885.5 km
892.5 km
825 km
None of these
Answer: A
Question: Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 6/8 of its own speed and got to its destination in 11 hours?
Choices:
2.5 hrs
4.5 hrs
3.5 hrs
1.5 hrs
Answer: A
Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?
Choices:
0
3
2
1
Answer: A
Question: Today is Tuesday. After 75 days, it will be:
Choices:
Sunday
Friday
Thursday
Wednesday
Answer: A
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
13 min
23 min
9 min
8 min
Answer: C
Question: What is the rate percent when the simple interest on Rs.2000 amount to Rs.500 in 2 Years?
Choices:
6%
12.5%
95%
1%
Answer: B
Question: Workers at a campaign office have 2000 fliers to send out. If they send out 1/10 of them in the morning and 1/4 of the remaining ones out during the afternoon, how many are left for the next day?
Choices:
1350
1100
1200
1900
Answer: A
Question: The number 70 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
16
15
14
13
Answer: C
Question: In what ratio must sugar at Rs.7.10 be mixed with sugar at Rs.9.20 so that the mixture may be worth Rs.8 per kg?
Choices:
7:3
1:7
4:3
2:1
Answer: C
Question: 5,9,20,32,52,__
Choices:
85
81
82
83
Answer: A
Question: A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?
Choices:
16
17
18
19
Answer: C
Question: There are 7 players in a bowling team with an average weight of 85 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
.
Choices:
80 Kg
85 Kg.
90 Kg
92 Kg
Answer: B
Question: A HEXAGON IS FORMED ABCDEF WHICH PERIMETER 36cm. A POLYGON IS FORMED BY JOINING THE POINTS AE &BD . FIND THE AREA OF THE POLYGON ABDE?
Choices:
35√3 cm2
36√3 cm2
37√3 cm2
38√3 cm2
Answer: B
Question: The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 90 instead of 10 then find the correct average marks?
Choices:
B)82
C)92
D)91
E)85
Answer: B
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is
Choices:
10
11
12
13
Answer: A
Question: Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 6. Based on this information, how many gold coins would there be in this collection after the proposed trade?
Choices:
60
180
200
300
Answer: B
Question: An athlete decides to run the same distance in 1/4th less time that she usually took. by how much percent will she have to increase her average speed?
Choices:
44.4
33.3
22.2
12.2
Answer: B
Question: Suppose 3 monkeys take 3 minutes to eat 3 bananas. How many monkeys would it take to eat 6 bananas in 6 minutes?
Choices:
10
11
3
13
Answer: C
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Choices:
390 km
267 km
286 km
296 km
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
91.5 cm
94.5 cm
92.5 cm
None of these
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train?
Choices:
130
150
200
160
Answer: C
Question: Simplify: (8-5)+(10-2+3)-5
Choices:
9
-8
-9
5
Answer: A
Question: You are a cashier at a grocery store. Your customer, David, buys a pound of bacon
$1.39, one dozen eggs for $1.29, and a pound of coffee for $2.79. What is the sum
total of his purchases?
Choices:
$5.47
$7.47
$8.47
$9.47
Answer: A
Question: The total marks obtained by a student in Mathematics and Physics is 32 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
26
27
28
22
Answer: A
Question: A person is 80 years old in 490 and only 70 years old in 500 in which year is he born?
Choices:
550
570
440
450
Answer: B
Question: Complete the sequence:
6 7 9 8 6 8 ?
Choices:
9
2
8
1
Answer: A
Question: The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
Choices:
1:3
1:8
1:9
1:1
Answer: B
Question: A manufacturer of a certain product can expect that between 0.1 percent and 0.3 percent of the units manufactured will be defective. If the retail price is $2,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units?
Choices:
Between $50,000 and $150,000
Between $60,000 and $100,000
Between $150,000 and $250,000
Between $300,000 and $500,000
Answer: A
Question: An engagement team consists of a 2 project managers, 3 team leaders, and four consultants. There are 3 candidates for the position of project manager, 4 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?
Choices:
35
150
210
300
Answer: D
Question: What is the value of (P + Q)/(P - Q) if P/Q is 10?
Choices:
2/3
2/6
11/9
8/7
Answer: C
Question: A bookseller has two display windows. She plans to display 5 new fiction books in the left window, and 6 new non-fiction books in the right window. Assuming she can put the six fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Choices:
86400
89000
34560
12420
Answer: A
Question: Liam is pulled over for speeding just as he is arriving at work.He explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. The officer explains that if Liam had driven 5mph slower for his whole commute, he would have arrived at work exactly on time. If Liam's commute is 20 miles long,how fast was he actually driving?(Assume that Liam drove at a constant speed for the duration of his commute.)
Choices:
40 mph
48 mph
52 mph
60 mph
Answer: A
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
Choices:
72
44
66
98
Answer: A
Question: A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 6 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
Choices:
(b) 6
(c) 26/5
(d) 27/5
(e) 28/5
Answer: A
Question: A student got 72% in math and 84% in history. To get an overall average of 75%, how much should the student get in the third subject?
Choices:
67%
69%
71%
73%
Answer: B
Question: A sum amount to Rs.1344 in two years at simple interest. What will be the compound interest on the same sum at the same rate of interest for the same period?
Choices:
10.95%
10.25%
12.25%
10.55%
Answer: B
Question: 180 students appeared for a test, of which 162 passed. The pass percentage is
Choices:
85%x1/2%
90%
93x1/3%
None of these
Answer: B
Question: The H.C.F. of two numbers is 15 and their L.C.M. is 420. If one of the numbers is 375, then the other is:
Choices:
283
16.8
318
32.4
Answer: B
Question: Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
Choices:
Rs.552
Rs.612
Rs.622
None
Answer: B
Question: In how many possible ways you can write 3240 as product of 3 positive integers x,y,z .
Choices:
450
350
320
380
Answer: A
Question: In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?
Choices:
(7C4)(6C5)
(7C4)(6C3)
(7C4)(8C3)
(7C3)(6C3)
Answer: B
Question: When positive integer N is divided by positive integer J, the remainder is 12. If N/J = 134.08, what is value of J?
Choices:
56
78
150
175
Answer: C
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 140?
Choices:
65
25
18
12
Answer: A
Question: If x and y are positive integers such that x/y = 4.25, which of the following numbers could be y?
Choices:
4
3
17
50
Answer: A
Question: The area of Circle O is added to its diameter. If twice the circumference of Circle O is then subtracted from this total, the result is 8. What is the radius of Circle O?
Choices:
2
3
4
5
Answer: C
Question: A set of data consists of the following 9 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers?
Choices:
-1 and 9
3 and 5
2 and 6
0 and 8
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.10 of money?
Choices:
1992
9921
1000
2789
Answer: C
Question: If a is the smallest positive integer such that 3,150 multiplied by a is the square of an integer, then a must be
Choices:
5
6
7
14
Answer: D
Question: Which is the middle even number between 1 and 9?
Choices:
25
5
8
6
Answer: B
Question: A person lent a certain sum of money at 5% per annum at simple interest and in 8 years the interest amounted to $480 less than the sum lent. What was the sum lent?
Choices:
800
900
1000
1100
Answer: A
Question: If, 4 years ago, Jamie was half as old as he is now, how old will he be in x years?
Choices:
x + 5
x + 8
x – 5
2x
Answer: B
Question: X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Choices:
2 months
6 months
4 months
5 months
Answer: D
Question: Multiply: (x-4)(X+5)
Choices:
xpower2 - 4x - 20
xpower2 - x - 20
xpower2 + x - 20
x - 20
Answer: C
Question: A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
Choices:
52 kmph
57 kmph
54 kmph
59 kmph
Answer: C
Question: Andrew earns $2000 a month from his job. His income increased and now makes $2125 a week. What is the percent increase?
Choices:
6.25%
7.25%
4.25%
12.5%
Answer: A
Question: In a kilometer race, If A gives B a 40m start, A wins by 19sec. But if A gives B a 30 sec start, B wins by 40 m. Find the time taken by B to run 5,000m?
Choices:
2375
2475
2575
2675
Answer: A
Question: In a certain warehouse, 70 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
Choices:
64
120
102
144
Answer: B
Question: What is the ratio between perimeters of two squares one having 8 times the diagonal then the other?
Choices:
3: 3
3: 8
8: 1
3: 2
Answer: C
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Choices:
9%
4 percent
2%
4%
Answer: B
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 150 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Choices:
110
152
162
170
Answer: A
Question: If Albert’s monthly earnings rise by 26%, he would earn $693. If, instead, his earnings rise by only 20%, how much (in $) would he earn this month?
Choices:
652
660
690
693
Answer: B
Question: If a and b are prime numbers, which of the following CANNOT be the sum of a and b?
Choices:
9
23
16
13
Answer: B
Question: A train 440 meters long is running with a speed of 50 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
41.33 sec
42.33 sec
40 sec
44.64 sec
Answer: D
Question: A = {0, 1, 3, 6, -8}
B = {-1, 2, -4, 7,-5}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
Choices:
1/3
2/5
9/25
1/2
Answer: C
Question: The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?
Choices:
187
600
750
733
Answer: C
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 10 years more than the present age of Anand. Find the present age of Anand?
Choices:
13
14
15
16
Answer: C
Question: A group of men can complete a job in X hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of X.
Choices:
6.5 days
7.5 days
8.5 days
9.5 days
Answer: B
Question: The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 24 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choices:
20
18
12
16
Answer: D
Question: Mary completes a piece of work in 160 days, Rose completes the same work in 240 days. If both of them work together, then the number of days required to complete the work is?
Choices:
94
96
98
100
Answer: B
Question: David paid $5,000 for 100 shares of stock X and $3,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/8 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:
Choices:
A gain 1.67 times as much.
A loss 3 times as much
A loss 1.5 times as much
No Loss No Gain
Answer: A
Question: Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 4 hours?
Choices:
900
1,800
5,900
7,500
Answer: A
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Choices:
Rs.8721
Rs.8891
Rs.8768
Rs.8730
Answer: A
Question: A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
8
9
6
5
Answer: A
Question: A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3200, A will get:
Choices:
Rs.1500
Rs. 1920
Rs.2000
None of these
Answer: B
Question: The reciprocal of the hcf and lcm of two are 1/13 and 1/312 .if one of the number is 24 then other no. is
Choices:
136
146
156
169
Answer: D
Question: Of the 170 people at a party, 70 were women, and 30 women tried the appetizer. If 60 people did not try the appetizer, what is the total number of men who tried the appetizer?
Choices:
50
60
70
80
Answer: D
Question: Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 40 Km/hr. Find her average speed during the whole journey?
Choices:
50.90 Km/hr
50.95 Km/hr
52 Km/hr
53 km/hr
Answer: A
Question: A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
Choices:
37 1/2
3/7
4/9
5/2
Answer: A
Question: In a games hour 4 different types of players came to the ground? cricket 15, hokey 12, football 13, softball 15. How many players are present in the ground?
Choices:
52
55
49
50
Answer: B
Question: Bucket P has thrice the capacity as Bucket Q. It takes 60 turns for Bucket P to fill the empty drum. How many turns it will take for both the buckets P&Q, having each turn together to fill the empty drum?
Choices:
45
54
46
63
Answer: A
Question: Find the lowest positive integer that can be divided by all the even numbers between 14 and 21.
Choices:
5040
3682
1231
1563
Answer: A
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
209
301
405
91
Answer: A
Question: In a recent election, Geoff received 15 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
Choices:
74.5
56
60
63
Answer: A
Question: How many positive integers less than 6,000 are there in which the sum of the digits equals 5?
Choices:
62
61
56
58
Answer: C
Question: An old priest fell on a bottom of the well of a church.
The well is 20 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
Choices:
16-days
17-days
18-days
19-days
Answer: A
Question: A merchant purchased a jacket for $42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:
$3
$6
$12
$15
Answer: B
Question: What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 32?
Choices:
B)100
C)160
D)70
of these
Answer: B
Question: A team scored a total of 84 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
Choices:
A)6
C)8
D)9
E)10
Answer: A
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Choices:
4 days
6 days
7 days
9 days
Answer: A
Question: A wildlife preserve is being planned for 5,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?
Choices:
560
320
310
300
Answer: A
Question: Average expenditure of a person for the first 3 days of a week is Rs. 340 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is:
Choices:
370
380
430
None
Answer: B
Question: Two cars cover the same distance at the speed of 50 and 45 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Choices:
277
960
600
261
Answer: C
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is ?
Choices:
1/7
1/0
1/2
1/3
Answer: A
Question: In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?
Choices:
14
22
24
26
Answer: A
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 20% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.3
62.7
74.2
62.9
Answer: C
Question: In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Choices:
210
230
56
270
Answer: C
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Choices:
28
20
72
27
Answer: B
Question: A Train usually travels at a speed of 72 kmph crossing a pole in 7 sec, what would be the length of the train?
Choices:
140 m
146 m
152 m
158 m
Answer: A
Question: A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?
Choices:
353 mph.
273 mph.
153 mph.
253 mph.
Answer: D
Question: A team won 40 percent of its first 30 games in a particular season, and 80 percent of its remaining games. If the team won a total of 60 percent of its games that season, what was the total number of games that the team played?
Choices:
60
70
80
90
Answer: A
Question: $500 will become $1000 in 3 years find the rate of interest?
Choices:
B)20%
C)25%
D)33.33%
E)50%
Answer: C
Question: If M is the mean of x,y,z ; then what is the mean of x+20,y+20 and z+20
Choices:
3M
10M
M+20
M-10
Answer: C
Question: 5 times the side of a square resulted in a parameter of 20x. What is the parameter before it was timed by 5?
Choices:
4x
10x
40x
2x
Answer: A
Question: Mike and his friend are going on a road trip and hoping to miss traffic. If they are driving at a rate of 6 miles per minute, what is their speed in kilometers per hour? [1km = 0.6 miles]
Choices:
30
300
600
None of the above
Answer: C
Question: Find the smallest positive integer n such that 11n - 1 is divisible by 105.
Choices:
4
5
6
7
Answer: C
Question: A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?
Choices:
28
15
18
11
Answer: B
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
297
261
280
172
Answer: C
Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 3?
Choices:
6
n/6
6.2
π
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0
Choices:
If x>=y
If x<Y
If x<=y
x=y or relationship cannot be established
Answer: D
Question: A truck covers a distance of 288 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 90 km more than that travelled by the truck ?
Choices:
5 hours
7 hours
8 hours
None
Answer: B
Question: A snail, climbing a 20 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
Choices:
7
17
20
21
Answer: A
Question: The average of 6 observations is 13. A new observation is included and the new average is decreased by 1. The seventh observation is?
Choices:
3
5
6
7
Answer: C
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 15 seconds. Find the length of the faster train?
Choices:
277
187
257
150
Answer: D
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 39° is?
Choices:
45m2
49m2
51m2
55m2
Answer: B
Question: The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Choices:
3:0
3:1
3:2
3:7
Answer: B
Question: c can run a kilometer race in 4 1/2 min while d can run same race in 5 min. How many meters start can c give d in a kilometer race, so that the race mat end in a dead heat?
Choices:
m
m
m
m
Answer: C
Question: A marketing firm determined that, of 200 households surveyed, 80 used neither Brand E nor Brand B soap, 60 used only Brand E soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
Choices:
20
30
40
45
Answer: C
Question: A customer pays 40 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
40
70
60
20
Answer: C
Question: The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?
Choices:
66
77
30
42
Answer: C
Question: In a sequence of 42 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?
Choices:
-2
0
8
-6
Answer: D
Question: A tour group of 25 people paid a total of $735 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$23.94
$28
$25.20
$30
Answer: B
Question: A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 5 km less in that time. Find his speed.
Choices:
6 km/hr
8 km/hr
10 km/hr
None of these
Answer: C
Question: If |x| = 4x - 2, then x = ?
Choices:
1/2
1 and 1/2
-1/2
3
Answer: D
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
3630
3631
3635
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
2 2 1/9
2 9 1/2
2 2 1/2
2 2 4/2
Answer: C
Question: A bag contains 6 white balls, 6 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Choices:
0.2
0.35
0.45
0.4
Answer: A
Question: The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the children stand together?
Choices:
24
50
48
120
Answer: C
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
57%
52%
22%
58%
Answer: A
Question: Express of the following as a fraction:
25%
Choices:
1/4
2/9
3/6
None of them
Answer: A
Question: The larger interior angle of a parallelogram is 90° more than its smaller interior angle. What is the measure of the smaller interior angle of the parallelogram?
Choices:
75°
60°
45°
30°
Answer: C
Question: A is twice as good a work man as B and together they finish the work in 6 days. In how many days A alone can finish the work?
Choices:
9
7
2
6
Answer: A
Question: In what time will Rs.4600 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
7 1/6
7 1/4
7 1/2
7 1/5
Answer: B
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,70,000 earned at the end of 3 years from the start of the business in 1999?
Choices:
Rs.50,000
Rs.90,000
Rs.75,000
none
Answer: B
Question: There are 350 snakes at a large zoo. The number of snakes is 5 times the number of all the other animals combined. How many more snakes are there than non snakes animals at the zoo?
Choices:
360
300
280
200
Answer: C
Question: Find the present worth of Rs.930 due 3 years hence at 8% per annum.Aso find the discount?
Choices:
180
221
277
881
Answer: A
Question: In the decimal expansion of (9/10)^4 what is the fourth digit to the right of the decimal point?
Choices:
7
1
0
5
Answer: B
Question: HCF and LCM two numbers are 20 and 396 respectively. If one of the numbers is 36, then the other number is?
Choices:
66
132
264
220
Answer: D
Question: Oranges are purchased for $15/bag at the Farmer's Market. A bag weighs 3 lbs. The oranges are peeled and the seeds removed (removing 1/6 of the weight). Then, these oranges are squeezed and made into orange juice. It takes 1 lb of oranges to make an 8 ounce glass of orange juice, and it takes 128 ounces to make a gallon. How much money is needed to buy oranges to make x number of gallons of orange juice, in dollars?
Choices:
158x
x/15
2x/3
96x
Answer: D
Question: It takes Avery 3 hours to build a brick wall while Tom can do it in 2 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Choices:
20
40
50
60
Answer: A