antoine-444/aqua_rat_dataset huggingface dataset:
Question: For a positive integer n, let PnPn denote the product of the digits of nn and SnSn denote the sum of the digits of nn. The number of integers between 10 and 100 for which Pn+Sn=n
Choices:
9
7
6
5
Answer: A
Question: A small pool filled only with water will require an additional 800 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 800 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Choices:
1250
1300
2000
2250
Answer: D
Question: In a new Engineering Hostels containing 100 rooms. Ankit Garg was hired to paint the numbers 1 to 100 on the doors.
How many times will Ankit have to paint the number eight ?
Choices:
15 times
30 times
20 times
35 times
Answer: C
Question: The profits of QRS company rose 20% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
Choices:
32%
44%
62%
80%
Answer: B
Question: A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 16%. What is the value of x?
Choices:
33.33 litres
37.67 litres
36.5 litres
36 litres
Answer: A
Question: In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a13?
Choices:
55
25
19
1
Answer: B
Question: In a set of 5 black balls and 3 red balls, how many selections of 5 balls can bemade such that at least 3 of them are black balls?
Choices:
26
46
49
50
Answer: B
Question: a sixth grade teacher asked her students to draw rectangles with positive integer length and a perimeter of 42.the difference between the largest and smallest possible ares of the rectangles that the students could have come up with is?
Choices:
60 sq units
70 sq units
80 sq units
90 sq units
Answer: D
Question: Working at constant rate, pump X pumped out half of the water in a flooded basement in 2 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
Choices:
b. 12
c. 14
d. 18
e. 24
Answer: C
Question: Donald duck can can swim his pool downstream(with the pool current helping time) in exact 40 seconds and upstream(against the pool current) in a pool in exact 60 seconds. The length of pool is 2 kilometers.
How long Donald duck can cover distance of one side at a still pool (with no current).
Choices:
48 minutes.
68 minutes.
88 minutes.
78 minutes.
Answer: A
Question: If the given two numbers are respectively 6% and 18% of a third number, then what percentage is the first of the second ?
Choices:
25%
18%
33 1/3%
none of these
Answer: C
Question: A invested Rs. 76,000 in a business. After few months, B joined him Rs. 57,000. At the end of the year, the total profit was divided between them in ratio 2 : 1. After bow many months did B join?
Choices:
4
2
1
None of them
Answer: A
Question: If n is a positive integer, which of the following expressions must be even?
Choices:
(n − 6)( n + 1)
(n − 2)( n + 6)
(n − 3)( n + 3)
(n − 3)( n + 7)
Answer: A
Question: A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?
Choices:
1822 meters
400 meters
1111 mete
None of these
Answer: B
Question: If x2−1/x+1, then, x = ?
Choices:
0
2
Can’t be determined
None of these
Answer: D
Question: Simplfy
b - [b -(a+b) - {b - (b - a+b)} + 2a]
Choices:
2a
4a
0
1
Answer: C
Question: If a die has 3,4 and 1,6 and 2,5 opposite each other, then how many such dies can be made.
Choices:
3
5
12
11
Answer: C
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choices:
11000
11006
110054
11001
Answer: A
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 10 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
8.9 hrs
2.9 hrs
6.7 hrs
8.6 hrs
Answer: C
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
12
11
17
Answer: A
Question: 1/3rd of work is completed by kiran in 6days. In how many days he can finish the remaining work?
Choices:
10days
12days
15days
20days
Answer: B
Question: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is
Choices:
12
24
36
48
Answer: A
Question: A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr?
Choices:
20 km/hr.
30 km/hr.
40 km/hr.
None
Answer: C
Question: The average age of a class of 32 students is 15 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
46 Years
49 Years
52 Years
48 Years
Answer: D
Question: A car traveling at a certain constant speed takes 12 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
60
72.5
73
73.5
Answer: A
Question: A certain sum of money at simple interest amounted Rs.1448 in 9 years at 4% per annum, find the sum?
Choices:
1064
1980
646
168
Answer: A
Question: In what time a debt of Rs.7920 due may be cleared by immediate cash down
payment of Rs.3600 at 1/2% per month
Choices:
20years
30years
40years
NONE OF THESE
Answer: A
Question: A person crosses a 500 m long street in 4 minutes. What is his speed in km per hour?
Choices:
7.5
3.9
8.2
2.7
Answer: A
Question: In how many ways can eight different rings be worn on four fingers of one hand?
Choices:
12
70
60
18
Answer: B
Question: (1^2+2^2+3^2+.....+11^2)=?
Choices:
506
365
385
None of them
Answer: A
Question: The car A has an average speed of 40 miles/hour and car B has an average speed of 60. How much time(in minutes) does the car A take more than car B to cover a distance of 60 miles?
Choices:
20
25
30
40
Answer: C
Question: For which of the following functions is f(z+b)=f(z)+f(b) for all positive numbers z and b?
Choices:
b) f(x)=x+1
c) f(x)=root x
d) f(x)=2/x
e) f(x)= -3x
Answer: D
Question: In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?
Choices:
90 rooms
70 rooms
60 rooms
10 rooms
Answer: A
Question: Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 18% and its breadth is decreased by 16%?
Choices:
0.88% decrease
0.88% increase
1.88% decrease
2.88% decrease
Answer: A
Question: How many numbers from 10 to 50 are exactly divisible by 3
Choices:
13
15
18
19
Answer: A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 180 votes. Find the total number of valid votes?
Choices:
450
436
434
422
Answer: A
Question: If x is a negative integer, which of the following must be a negative integer?
Choices:
x/2+3
x^4
x – y
x^11
Answer: D
Question: The food in a camp lasts for 40 men for 30 days. If ten more men join, how many days will the food last?
Choices:
30days
28days
26days
24days
Answer: D
Question: 2 corner most boxes of a chess board(diagonally opposite) haven been cut out
there's a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ?”
Choices:
28
29
30
31
Answer: C
Question: A can finish a piece of work in 5 days. B can do it in 15 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choices:
5 days
4 days
6 days
7 days
Answer: D
Question: In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $60,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
Choices:
$130,000
$240,000
$290,000
$220,000
Answer: D
Question: If |x - 20| = 40 what is the sum of all the values of x.
Choices:
60
-80
40
80
Answer: C
Question: If your mother asked you to bring her 7 water bottles, and one bottle costs 1.5 $, how much money should she give you?
Choices:
9.5 $
10 $
10.5 $
11 $
Answer: C
Question: At what rate of interest (compounded yearly)will Rs.10,000 amount to Rs.12100 in 2 years?
Choices:
8%
10%
9%
7%
Answer: B
Question: 15 and 5 are the first two terms in a geometric sequence. What is the arithmetic difference between the 7th term and the 9th term?
Choices:
(40/3) * (1/3)^7
(40/9) * (1/3)^7
(1/3)^7
(100/3) * (1/3)^7
Answer: A
Question: The mean of 1^3,2^3,3^3,4^3,5^3 is?
Choices:
45
50
60
75
Answer: A
Question: Convert the 18/42 m/s into kilometers per hour?
Choices:
2.5 kmph.
1.2 kmph.
1.54 kmph.
1.9 kmph.
Answer: C
Question: The ratio of salary of a worker in July to that in June was 21⁄2 : 21⁄4, by what % the salary of July more than salary of June. Also find by what %, salary of June was less than that of July.
Choices:
11 1⁄9% and 10%
Both 10%
Both 11 1⁄9%
None of these
Answer: A
Question: In expressing a length of 77.470 km as nearly as possible with the three significant digits, find the percentage error
Choices:
0.34%
0.039%
0.035%
None of these
Answer: B
Question: The average of 40 numbers is 32. If two numbers namely 34 and 39 are discarded, The average of
remaining numbers is?
Choices:
31.7
39.5
34.5
38.5
Answer: A
Question: The cube root of .000343 is
Choices:
0.07
0.007
7
None of these
Answer: A
Question: The probability that a arrow fired from a point will hit the target is 1/4. Three such arrows are fired simultaneously towards the target from that very point. What is the probability that the target will be hit?
Choices:
23/64
23/67
37/64
37/50
Answer: C
Question: A and B together can do a piece of work in 3 days. If A alone can do the same work in 20 days, then B alone can do the same work in?
Choices:
0.28 days
0.55 days
0.25 days
0.15 days
Answer: A
Question: By travelling at 60 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Choices:
30 kmph
26 kmph
24 kmph
22 kmph
Answer: A
Question: Find the invalid no.from the following series 10, 17, 22, 29, 34, 36
Choices:
36
40
37
25
Answer: A
Question: Present ages of X and Y are in the ratio 4:5 respectively. 6 years hence this ratio will become 5:6 respectively. What is X's present age in years?
Choices:
24
37
39
40
Answer: A
Question: In a 2000 m race, A beats B by 100 meters or 50 seconds. Find the speed of B?
Choices:
2m/s
5m/s
7m/s
3m/s
Answer: A
Question: Two isosceles Triangles have equal vertical angles and their areas are in the ratio 16:36. Find the ratio of their corresponding heights .
Choices:
4/6
3/2
5/7
2/3
Answer: A
Question: 65% of x = 20% of 422.50. Find the value of x?
Choices:
130
150
180
199
Answer: A
Question: The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+48, what is the perimeter of the garden in feet?
Choices:
40
44
48
52
Answer: C
Question: The perimeter of a triangle is 24 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
30 cm2
65 cm2
45 cm2
35 cm2
Answer: A
Question: What is the rate percent when the simple interest on Rs.9100 amount to Rs.455 in 3 Years?
Choices:
3.7%
6.7%
8.7%
9.7%
Answer: A
Question: How many digits are in the number 50^8 × 8^3 × 11^2?
Choices:
20
19
18
17
Answer: B
Question: . If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?
Choices:
9:5
9:1
9:9
9:7
Answer: B
Question: If mn > 0, which of the following must be negative?
Choices:
mn^2
m/-n
m/n
m+n
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 50 kmph when will the owner over take the thief from the start?
Choices:
2 hours
6 hours
3 hours
12 hours
Answer: A
Question: If the radius of a circle is increased by 20% then the area is increased by:
Choices:
44
16
18
11
Answer: A
Question: A certain fruit stand sold apples for $0.70 each and guava for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Choices:
13
11
14
5
Answer: B
Question: Cathy and Jim begin running at the same time and they start at the same place on a straight path. Cathy runs at 10 miles per hour, and Jim runs at 6 miles per hour. After 18 minutes, Cathy stops to stretch. If it takes Cathy 27 minutes to stretch and Jim continues to run during this time, how many minutes will it take Cathy to catch up to Jim?
Choices:
21.5
22.5
23.5
24.5
Answer: B
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 600 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Choices:
4320.
5780.
5760.
6380.
Answer: A
Question: A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
Choices:
360
500
540
580
Answer: B
Question: Find the sum of all 2 digit numbers divisible by 3.
Choices:
199
1665
2452
2547
Answer: B
Question: The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?
Choices:
40 kmph
16 kmph
20 kmph
18 kmph kmph
Answer: C
Question: 49 Ã— 49 = 7^?
Choices:
4
8
16
None of these
Answer: A
Question: If pipe A can fill the tank in 45 minutes and pipe B in 30 minutes, find the time to fill the tank if both the pipes are opened together.
Choices:
20 minutes
18 minutes
15 minutes
None of these
Answer: B
Question: The average of 5 quantities is 11. The average of 3 of them is 4. What is the average of remaining 2 numbers?
Choices:
21.5
8
9.5
None of these
Answer: A
Question: How many cubes of 5cm edge can be cut out of a cube of 15cm edge
Choices:
232
27
48
None of these
Answer: B
Question: Sum of the squares of three numbers is 431 and the sum of their products taken two at a time is 265. Find the sum?
Choices:
35
25
31
29
Answer: C
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 63 as quotient. What is the correct quotient ?
Choices:
36
13
20
25
Answer: A
Question: Suresh drives his car to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. What is his average speed for the whole journey ?
Choices:
35 km/hr
37.5 km/hr
40 km/hr
42 km/hr
Answer: B
Question: The average height of 30 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm. What was the actual average height of the students in the class?
Choices:
174.5
172.5
171.5
170.5
Answer: A
Question: What is the value of n if the sum of the consecutive odd intergers E from 1 to n equals 169?
Choices:
25
37
33
29
Answer: A
Question: A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ?
Choices:
117
116
114
113
Answer: A
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is
Choices:
1/2
3/4
3/5
None of these
Answer: A
Question: How many terms are there in 2, 4, 8, 16,..., 16384?
Choices:
14
12
10
8
Answer: A
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 2/7. What is the probability that they agree in stating the same fact?
Choices:
18/38
18/36
16/35
18/31
Answer: C
Question: If the TV is selling for $1200 its cost price is $800. Then what is the profit percentage
Choices:
70%
80%
90%
50%
Answer: D
Question: A hotel has 4 available rooms. One room has a view to the garden and the others has a view to the pool. If you sleep in the hotel, what is the probability that you get a room in the side of the garden?
Choices:
1/4
1/3
none
2
Answer: A
Question: If 425/999=0.125, what is the 81st digit to the right of the decimal point in the decimal equivalent of the fraction?
Choices:
2
3
4
5
Answer: D
Question: In what time will a train 80 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.0 sec
7.5 sec
2.3 sec
1.5 sec
Answer: A
Question: A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 300,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes?
Choices:
b) 750
c) 1,000
d) 1,250
e) 1,500
Answer: B
Question: If 2^(2w) = 8^(w−6), what is the value of w?
Choices:
15
18
21
24
Answer: B
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
25
35
45
55
Answer: B
Question: Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 2 muffins remained. How many guests did Monica plan on?
Choices:
4.
5.
6.
7.
Answer: C
Question: The average weight of three men A, B and C is 84 Kg. The average weight becomes 80 Kg when D joins them. If E whose weight is 3 Kg more than D joins the group replacing A, then the average weight of B, C, D and E becomes 79 Kg. The weight of A is:
Choices:
70kg
75kg
80kg
85kg
Answer: B
Question: Choose the missing terms out of the given alternatives.
AD, EH, IL, ?, QT
Choices:
MP
MN
OP
OM
Answer: A
Question: A firm has 4 senior partners and 6 junior partners. How many different groups S of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
100
120
288
600
Answer: A
Question: In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 48%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass?
Choices:
2
3
4
5
Answer: A
Question: Two numbers N and 12 have LCM = 54 and GCF = 8. Find N.
Choices:
34
36
54
64
Answer: B
Question: Seats for Maths, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%,50% and 75%. What will be the ratio of increased seats?
Choices:
2:3:4
2:4:5
3:6:7
5:7:9
Answer: A
Question: Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
Choices:
1/20
1/16
1/19
1/24
Answer: A
Question: The Hobo Music Orchestra is comprised of, 3/5 wind instrument musicians, 1/4 string instrument musicians, and the rest are percussion instrument musicians. If half of the string instrument musicians are violinists, and the conductor doubles the number of violinists, what proportion of the orchestra are now wind instrument musicians?
Choices:
6/11
7/15
1/2
6/7
Answer: A
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Choices:
240 kg
360 kg
480 kg
520 kg
Answer: A
Question: A 10% stock yielding 8% is quoted at?
Choices:
125
175
180
185
Answer: A
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 27 seconds. Find the length of the faster train?
Choices:
270 m
197 m
167 m
187 m
Answer: A
Question: how many square are there between 2001....2300 I don't remember the exact series.
Choices:
4
2
3
5
Answer: C
Question: A bag contains 7 green balls and 7 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?
Choices:
6/13
8/21
11/21
17/42
Answer: A
Question: If f(x) = ax^4 + x^3 + 2ax + 5, then f(b) – f(-b) will equal:
Choices:
2ab
2ab^4 – 8b^2 – 6
-2ab^4 + 8b^2 + 6
2b^3 + 4ab
Answer: D
Question: The profit obtained by selling an article for Rs. 56 is the same as the loss obtained by selling it for Rs. 42. What is the cost price of the article?
Choices:
Rs. 50
Rs. 49
Rs. 59
None of these
Answer: B
Question: (1/5)^q * (1/4)^18 = 1/(2(10)^35). What is q?
Choices:
18
34
35
36
Answer: C
Question: A can give B a start of 50 metres or 10 seconds in a kilometer race. How long does A take to complete the race?
Choices:
140 seconds
220 seconds
190 seconds
None
Answer: C
Question: For which of the following does f(m)−f(n)=f(m−n) for all values of m and n?
Choices:
f(y)=y/2
f(y)=y+5
f(y)=2y−1
f(y)=|y|
Answer: A
Question: Two trains are moving at 65 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
6 2/3 sec
7 2/2 sec
8 1/2 sec
7 1/9 sec
Answer: A
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:
Choices:
36
34
35
62
Answer: A
Question: The graph of a quadratic function and the graph of a linear function in the xy plane can intersect in at most how many points
Choices:
Two
Three
Four
More than four
Answer: D
Question: A train traveling at 72 kmph crosses a platform in 33 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
Choices:
360 meters
420 meters
300 meters
Cannot be determined
Answer: C
Question: What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?
Choices:
9600
9400
9200
9300
Answer: A
Question: One-fifth of the apples produced by farm are defective and one-quarter of all apples produced are rejected by the quality control technician. If one-tenth of the non defective apples are rejected by mistake, and if all the apples not rejected are sold, then what percent of the apples sold by the farm are defective?
Choices:
4%
6%
8%
12%
Answer: A
Question: In a Fish tank there are 8 fishes are there. In how many possibilities to choose 6 fishes from the tank?
Choices:
21
28 possibilities
8
30
Answer: B
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 27 sec. The length of each train is?
Choices:
37.5
27
28
21
Answer: A
Question: Solve 6x + 4 = 4x - 2
Choices:
3
5
1
8
Answer: C
Question: Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:
The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.
The paint will be namedBrun Xif the paint contains 3 jars of brown paint.
The paint will be namedJaune Xif the paint contains at least 2 jars of yellow.
The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.
What is the probability E that the new color will be one of theJaunecolors?
Choices:
37/42
1/21
4/9
5/9
Answer: A
Question: Suppose you play a game where you role a single dice and whatever you roll you get that dollar amount. For example, if you roll a 1 you get $1. If you roll a 6 you get $6. If you are unhappy with the first roll, you can roll again. However, if you get lower the second time, you cannot take the first roll. If you are unhappy with the second roll you can roll a third and final time. Again, if you get lower on the third roll, you have to keep this roll and cannot take the first or second roll.
What is the expected value of this game?
Choices:
4500
467
512
850
Answer: B
Question: A bakery has 6 employees. It pays annual salaries of $19,000 to each of 2 employees, $21,000 to 1 employee, and $22,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Choices:
$20,500
$20,800
$21,000
$21,400
Answer: B
Question: The successive discounts 20% and 15% are equal to a single discount of?
Choices:
77
32
77
99
Answer: B
Question: Product of two natural numbers is 7. Then, the sum of reciprocals of their squares is
Choices:
50/49
290/90
290/19
None of these
Answer: A
Question: A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
Choices:
7203
3603
4803
5803
Answer: A
Question: The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
99
15
66
23
Answer: B
Question: GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then BED?
Choices:
33
35
32
31
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 train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40
32
39
28
Answer: A
Question: Jar X is 1/2 full of water. Jar Y, which has half the capacity of Jar X, is 1/4 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?
Choices:
5/8
7/8
5/12
7/12
Answer: A
Question: Two pumps are connected to an empty tank. Pump X fills the tank with water at a constant rate, while pump Y drains water out of the tank at a constant rate. The two pumps finish filling the tank in three times the duration it would take pump X alone to fill the tank. If pump Y alone can empty a whole tank in 36 minutes, then how many minutes does it take pump X alone to fill the tank?
Choices:
24
26
28
30
Answer: A
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
7
62
21
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 all the four bulbs are defective?
Choices:
1/186
1/196
2/106
1/126
Answer: D
Question: How much 60% of 50 is greater than 40% of 30?
Choices:
18
26
29
21
Answer: A
Question: Two friends A and B are running up hill and then to get down! length of road is 440 yards. A on his return journey met B going up at 20 yards from top, A has finished the race 5 minutes earlier than B, then how much time A had taken to complete the race.
Choices:
52.5minutes
53.5minutes
54.5minutes
55.5minutes
Answer: A
Question: If pq = p^5 + q^2 – 2pq, for what value of q is pq equal to p^5 for all values of p?
Choices:
-1
0
1
2
Answer: B
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 380 dollars, and, in a third, loses 70. In the end he finds he has gained 250 dollars, by the three together. How much did he gain or lose bv the first ?
Choices:
60
-60
-70
None
Answer: B
Question: The editor of an anthology of short stories will select authors from a pool of 11 authors, of which 5 are female. If the anthology is to include the work of 6 authors of which at least 2 are female, in how many ways can the editor select the authors?
Choices:
431
442
453
464
Answer: A
Question: A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Choices:
81
85
86
89
Answer: A
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10 m2
18 m2
19 m2
12 m2
Answer: A
Question: The sum s of prime numbers that are greater than 60 but less than 70 is
Choices:
128
191
197
260
Answer: A
Question: A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ?
Choices:
57
88
26
19
Answer: A
Question: If x varies inversely as (y2 - 1) and is equal to 24 when y = 10, the value of x when y = 5 will be ?
Choices:
101
99
98
97
Answer: B
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
266
555
255
Answer: A
Question: if 50% of (x-y) = 20% of (x+y) then what percent of x is y?
Choices:
10%
5%
15%
43%
Answer: D
Question: A bag of candy contained 360 pieces. A group of 25 students divided the candy so that the 11 boys received twice as much candy as the girls. How many pieces of candy did the boys get?
Choices:
14
16
18
20
Answer: D
Question: a boy perform 5 times a reaction and his reading are 2,2.1,2,2.2 but unfortunately
5th reading clearly not visible because a drop of chemical fall onto it.but luckily he
have mean of all reading which is 2.please help him in finding 5th reading.
Choices:
1.7
1.9
1.8
2.1
Answer: A
Question: Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 20% ?
Choices:
1.51
2
2.12
4
Answer: C
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the
second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take
both the punctures together to make it flat ?
Choices:
325min
335min
345min
None of these
Answer: B
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Choices:
40
90
100
120
Answer: A
Question: The average of seven numbers is 22. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
27
29
32
55
Answer: D
Question: In a graduating class, 40 percent of the students are male. In this class, 60 percent of the male students and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
0.44
0.48
0.52
0.56
Answer: C
Question: Oak trees line both sides of a street for a length of 7/10 of a kilometer. If there is 14 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?
Choices:
b)	23
c)	24
d)	44
e)	48
Answer: D
Question: P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 6), the remainder is also D. If P/Q = 1020.75 and P/(Q + 6) = 816.6, then which of the following gives the correct set of {D, Q}?
Choices:
{6, 15}
{9, 12}
{9, 15}
{18, 24}
Answer: D
Question: In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 655200 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
Choices:
1300000
14000
12000
None of these
Answer: A
Question: Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
Choices:
twice as much
the same
half as much
A third as much
Answer: A
Question: Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?
Choices:
20
24
36
42
Answer: D
Question: If a, b and c are the sides of a triangle, and a2 + b2 + c2 = bc + ca + ab, then the triangle is
Choices:
equilateral
right-angled
obtuse-angled
None of these
Answer: A
Question: jhon has 10 choclates, jennifer has 5 choclates. Totally how many choclates they have in all?
Choices:
10
15
20
14
Answer: B
Question: One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 3 parts soda. Compare the strength of the wine.
Choices:
15 : 18
7 : 4
14 : 5
None of these
Answer: A
Question: Find the third proportional to 63 and 29.9?
Choices:
14.29
14.19
14.16
None of these
Answer: B
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Choices:
190%
100 percent
200%
101%
Answer: B
Question: The ratio of the number of females to males at a party was 1:2 but when 3 females and 3 males left, the ratio became 1:3. How many people were at the party originally?
Choices:
16
18
20
22
Answer: B
Question: The average (arithmetic mean) of 20, 40, and 60 is 5 more than the average of 10, 50, and what number?
Choices:
45
55
45
50
Answer: C
Question: In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 8% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
Choices:
23.9%
24%
25%
34%
Answer: A
Question: The least number which must be subtracted from 6709 to make it exactly divisible by 9 is:
Choices:
3
4
5
6
Answer: B
Question: If 3^k - 3^(k-1) = 162 then k(k-1) =
Choices:
16
20
30
81
Answer: B
Question: 10 is added to a certain number, the sum is multiplied by 2, the product is divided by 2 and 2 is subtracted from the quotient. The remainder left is half of 88. What is the number?
Choices:
20
25
36
45
Answer: C
Question: If f(a)=4a+6b+8, what is the value of (f(3a)-f(2b)) ?
Choices:
8a-6b
5a+3b-8
6a+7b+3
8a-2b+9
Answer: A
Question: A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Choices:
20
30
40
50
Answer: C
Question: A square and a rectangle have equal areas. If their perimeters are p1 and p2 respectively, then
Choices:
p1 < p2
p1 > p2
none of these
Cannot be determined
Answer: A
Question: Mr. stenley employed a certain number of typist for his project. 8 days later 20% of the typist left the job and it was found that it took as much time to complete the rest work from then as the entire work needed with all the employed typists. The average speed of a typist is 20 pages/hour. Minimum how many typist could be employed?
Choices:
5
15
4
3
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 4991
Rs. 4996
Rs. 4997
Rs. 5000
Answer: A
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 5 o’clock in the afternoon?
Choices:
90°
270°
320°
None of these
Answer: B
Question: A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sellis the radio for Rs 300. The profit percent of the retailer is
Choices:
32
25
88
11
Answer: B
Question: A train 125 m long passes a person, running at 5 km/hr in the same direction in which that the train is going, in 10 seconds. The speed of the train is:
Choices:
60 km/hr
55 km/hr
50 km/hr
65 km/hr
Answer: C
Question: How many three-digit numbers that do not contain the digits 2 or 5 are there?
Choices:
996
228
456
1986
Answer: A
Question: Each of the following equations T has at least one solution EXCEPT
Choices:
T=–2^n = (–2)^-n
T=2^n = (–2)^-n
(–2)^n = –2^n
(–2)^-n = –2^-n
Answer: A
Question: A and B complete a work in 4 days. A alone can do it in 8 days. If both together can do the work in how many days?
Choices:
3.78 days
3.25 days
3.15 days
2.7 days
Answer: D
Question: The average age of students in section A of 50 students is 14 years and the average age of students in section B of 30 students is 6 years. Find the average age of students in both sections taken together?
Choices:
15years
18years
9years
11years
Answer: D
Question: The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
288
245
776
225
Answer: D
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Choices:
12
14
15
16
Answer: A
Question: What is the value of âˆš81% ?
Choices:
36%
42%
60%
90%
Answer: D
Question: 26 men can complete a piece of work in 8 days. In how many days will 25 men complete the same work?
Choices:
9 1/3 days
8 2/3 days
8 1/3 days
9 1/3 days
Answer: C
Question: A train 110 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
Choices:
60 kmph
66 kmph
72 kmph
82 kmph
Answer: A
Question: How many 6 letter words ( with or without meaning) can be formed using all the following 5 lettersV, P,Q,R,S,and T so that letter P is to the left of letter R?
Choices:
300
400
480
360
Answer: D
Question: If sq. root of(x)/|y| = -1 which of the following must be true?
Choices:
x = y
x = y^2
x^2 = y^2
x^3 = y^3
Answer: B
Question: 35 - [23 - {15 - x}] = 12 × 2 ÷ 1/2
Choices:
32
17
27
28
Answer: A
Question: A boat goes 100 km downstream in 8 hours, and 75 Km upstream in 15 hours. The speed of the stream is?
Choices:
6.5
5.5
4
3.75
Answer: D
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
Choices:
77
12
88
91
Answer: B
Question: Set M contains numbers that satisfy the condition that, if integer x is in the set then x-3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.
I.-7
II. -1
III. 2
Choices:
I only
I and II only
II and III only
I, II and III
Answer: A
Question: Carol spends 1/4 of her savings on a stereo and 1/6 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
Choices:
2/7
5/12
1/2
11/24
Answer: D
Question: A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1
2.25
1.5
4
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 4 p.c?
Choices:
29000
37000
38400
40000
Answer: C
Question: You have 5 sticks of lengths 10, 20, 30, 40, 50 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is
Choices:
3
7
10
12
Answer: A
Question: A clockwise rotation around point Z (that is, a rotation
in the direction of the arrow) transforms the shaded
quadrilateral to the unshaded quadrilateral. The angle
of rotation is approximately
Choices:
270o
360o
45o
135o
Answer: A
Question: An error 19% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
Choices:
41.61%
45.64%
46.64%
10.64%
Answer: A
Question: Find 95 ×× 98
Choices:
93/12
93/13
93/10
93/11
Answer: C
Question: The total of company C's assets in 1994 was 250% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Choices:
8N
9N
12.5N
17.5N
Answer: D
Question: Set S is the prime integers between 0 and 45. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?
Choices:
3/8
15/28
5/8
11/14
Answer: D
Question: A drink vendor has 50 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
Choices:
237
281
300
380
Answer: B
Question: The sum of all two digit numbers divisible by 9 is
Choices:
585
785
685
885
Answer: A
Question: x + y = 19 , and x + 3y = 1. Find the value of x + 2y
Choices:
18
11
10
5
Answer: C
Question: The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 2.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
Choices:
$ 3.00
$ 3.50
$ 4.00
$ 5.00
Answer: C
Question: Four athletes, Wen-Wen, Mikaila, Brian, and Jamal, won gold medals in the Olympics. If Mikaila won 2 more than Brian did, Jamal won 6 less than Wen-Wen did, and Wen-Wen won 2 more than Mikaila did, how many more gold medals did Brian win than Jamal did?
Choices:
6
2
1
12
Answer: B
Question: John and Mike 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 John received $800 more than Mike did, what was the profit made by their business in that year?
Choices:
465745
3000
3456
35346
Answer: B
Question: Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
Choices:
85
65
70
90
Answer: B
Question: In an election contested by two parties, Party E secured 2% of the total votes more than Party F. If party R got 147,000 votes, by how many votes did it lose the election?
Choices:
6,000
8,000
10,000
12,000
Answer: A
Question: The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams E?
Choices:
E=32
E=64
128
512
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
25%
55%
28%
55%
Answer: A
Question: How many 4x4x4 cubes could fit in a 9x13x16 box?
Choices:
28
29
31
32
Answer: B
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length T of a cube whose surface area is equal to 6z?
Choices:
T=8√2
T=8
T=2√2
(√2)/3
Answer: C
Question: Which number is the odd one out?
571219
461016
831114
461016
971613
781523
Choices:
971613
641613
851613
931613
Answer: A
Question: A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 12k,k24, where k represents a digit that occurs twice, how many values could n have?
Choices:
3
6
5
4
Answer: D
Question: If x ≥ 0, y ≥ 0 and (x + y) ≤ 1, then the maximum value of (2x + 3y) is
Choices:
3
4
5
6
Answer: A
Question: Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 95% water by weight. What is the new weight of the cucumbers, in pounds?
Choices:
20
92
96
98
Answer: A
Question: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability Q that the 2 apples selected will include the spoiled one?
Choices:
b. 3/10
c. 2/5
d. 1/2
e. 3/5
Answer: B
Question: A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 50% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 4 hours?
Choices:
35%
30%
25%
20%
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
28
27
21
Answer: A
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 90%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
50% decrease
40% decrease
40% increase
30% increase
Answer: D
Question: Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2500
Choices:
50
210
300
700
Answer: A
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of R is?
Choices:
B)Rs.4000
C)Rs.4029
D)Rs.4027
E)Rs.6400
Answer: D
Question: A restaurant spends one fifth of its monthly budget for rent and half of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
Choices:
32.5%
35%
37.5%
40%
Answer: D
Question: When positive integer d is divided by 6, the remainder is 1. Which of the following must be true?
I. d is a prime number
II. d is odd
III. d is divisible by 7
Choices:
II only
III only
I and II only
II and III only
Answer: A
Question: How many even integers from 1 to 100 (both inclusive) have EVEN number of factors?
Choices:
14
5
6
7
Answer: B
Question: John must arrange 2 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
Choices:
12
36
120
720
Answer: A
Question: If a month of the year is chosen randomly, how likely is it that it contains 5 or fewer letters, or that the month starts with a "J"?
Choices:
1/2
2/3
3/4
11/12
Answer: A
Question: Find the number of ways of arranging a girl and 20 boys at a circular table so that the girl always sits in a particular seat?
Choices:
8!
11!
12!
20!
Answer: D
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Choices:
81
100
324
900
Answer: A
Question: The radius of a cylinder is 6 m, height 21 m. The total surface area of the cylinder is?
Choices:
528
522
529
521
Answer: A
Question: What will come in place of the x in the following Number series? 40, 160, x, 2560, 10240
Choices:
200
900
800
640
Answer: D
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
12
14
13
15
Answer: C
Question: A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?
Choices:
96
128
144
168
Answer: A