antoine-444/aqua_rat_dataset huggingface dataset:
Question: Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 13 songs, what are the chances that the third song he hears will be his favorite?
Choices:
1/13
1/11
3/14
1/3
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
Choices:
233234 m
153600 m
123567 m
168999 m
Answer: B
Question: A person travels equal distances with speeds of 2km/hr, 4km/hr, 6km/hr. and takes a total time of 11minutes. Find the total distance ?
Choices:
500mts
600mts
2km
250mts
Answer: B
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1400 per sq.metre.
Choices:
Rs. 15,500
Rs. 15,600
Rs. 28,875
None
Answer: C
Question: The product of all the prime numbers less than 30 is closest to which of the following powers of 10?
Choices:
10^8
10^7
10^6
10^9
Answer: D
Question: The difference between a number and its two-fifth is 510. What is 10% of that number?
Choices:
85
77
76
78
Answer: A
Question: In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 20 hours a day, the number of men required is:
Choices:
5
6
8
9
Answer: B
Question: What is the greatest integer m for which the number 40!/10^m is an integer?
Choices:
8
9
10
11
Answer: B
Question: Find the probability that a number selected from numbers 1, 2, 3,..., 20 is a prime number, when each of the given numbers is equally likely to be selected?
Choices:
1/20
8/20
3/20
7/20
Answer: B
Question: If m= (n-1)(n+2), then what is the least possible value of m?
Choices:
-9/4
2
1
0
Answer: A
Question: (786×74) ÷ ? = 2423.5
Choices:
A)24
C)58
D)68
E)48
Answer: A
Question: What will come in place of the x in the following Number series? 65536, 32768, 16384, 8192, 4096, x
Choices:
2048
2045
2044
2043
Answer: A
Question: The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 800 meters per second, what was the speed, in meters per second, when the stopwatch was started?
Choices:
25/4
25/8
25/16
25/32
Answer: C
Question: A ball dropped from H height and moves 80% of height each time. Total distance covered is
Choices:
5H
7H
9H
8H
Answer: C
Question: A boat having a length 3 m and breadth 2 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:
60 kg
72 kg
85 kg
96 kg
Answer: A
Question: If each of 4 digit code is formed of integers from 1 to 50, inclusively, and each of the digits are different, how many possible codes are there?
Choices:
5527200
5598600
5547800
2569800
Answer: A
Question: You have been given a physical balance and 7 weights of 40, 42, 36, 33, 47, 52 and 67 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 169 kgs.
Choices:
166
162
164
165
Answer: D
Question: Chris mixed 4 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
Choices:
1/5
1/4
1/3
3/7
Answer: B
Question: A gets 4 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
Choices:
Rs.116.66
Rs.125
Rs.115
Rs.125.66
Answer: A
Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Choices:
56.67 mph
53.33 mph
64 mph
66.67 mph
Answer: C
Question: what is the average of odd numbers from 1 to 79?
Choices:
25
35
40
45
Answer: C
Question: A SHAM bought toy at 60 for a rupee. How many for a rupee must he sell to gain 20%?
Choices:
7200
3000
400
540
Answer: A
Question: Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
Choices:
60,81
60,88
60,84
60,89
Answer: C
Question: . Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
17 1/1
17 1/7
17 1/9
17 1/2
Answer: B
Question: An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
Choices:
13 hours
17 hours
21 hours
23 hours
Answer: C
Question: Two numbers N and 16 have LCM = 52 and GCF = 8. Find N.
Choices:
26
76
87
24
Answer: A
Question: Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for q dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
Choices:
x/(q - y)
x
x/q
x/y
Answer: A
Question: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 5400 interest. The principal amount borrowed by him was.
Choices:
Rs 15000
Rs 16000
Rs 17000
None of these
Answer: A
Question: If the area of a circle is 100pi square feet, find its circumference.
Choices:
20 pi feet
42 pi feet
18 pi feet
64 pi feet
Answer: A
Question: A $500 investment and a $1,500 investment have a combined yearly return of 16 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
Choices:
10%
105/8%
11%
19%
Answer: D
Question: Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 9 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 9 questions did Zachary answer correctly?
Choices:
7
8
9
10
Answer: B
Question: Let Q represent a set of three distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
Choices:
2
3
5
7
Answer: A
Question: Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 2 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
Choices:
R/(R+4)
R/(R-4)
8/(R-8)
2R - 4
Answer: B
Question: 24 persons can manufacture 1000 soaps in 15 days, working 7 hours a day. In how many days will 18 persons, working 5 hours a day, manufacture the same 1000 soaps?
Choices:
28
35
14
21
Answer: A
Question: The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
Choices:
45 pi cc
150 pi cc
180 pi cc
200 pi cc
Answer: A
Question: Andrew went to a shop and bought things worth Rs. 25, 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:
19.7
21
23
25
Answer: A
Question: Lucy deposited $62500 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $5100?
Choices:
0.5
3
6
6.1
Answer: A
Question: complete the numerical series with the correct number
5+3+1=15517
9+2+2=181834
5+6+4=302044
5+4+2=201026
9+3+5= ?
Choices:
454586
274569
454386
444586
Answer: B
Question: If 4^k = 5, then 4^(2k+2) =
Choices:
400
100
830
420
Answer: A
Question: A certain elevator has a safe weight limit of 2,500 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 180 pounds and the average weight of the others being 230 pounds?
Choices:
8
9
10
12
Answer: D
Question: Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Choices:
10, 5
7, 8
9, 6
8, 5
Answer: A
Question: Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 6 seconds. The length of the faster train is
Choices:
100 m
120 m
135 m
None
Answer: C
Question: A number whose fifth part increased by 6 is equal to its fourth part diminished by 6 is ?
Choices:
180
200
240
None
Answer: C
Question: In the coordinate plane, one of the vertices of a square is the point (-6, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?
Choices:
169
324
196
225
Answer: B
Question: There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold. If a total of 440,000 copies of the novel were sold in all, how many paperback copies were sold?
Choices:
360,000
364,500
363,600
396,900
Answer: C
Question: The speed of a boat in upstream is 35 kmph and the speed of the boat downstream is 50 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
8.5 kmph
7.15 kmph
7.5 kmph
17.5 kmph
Answer: C
Question: A city with a population of 160,080 is to be divided into 8 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
Choices:
18,300
18,400
18,500
18,600
Answer: B
Question: If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?
Choices:
lw – yx
ly + wx – xy
lx + wy – xy
xy – lw – wy
Answer: B
Question: A Cuban cigar would cost 3 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
Choices:
23$.
14.7$.
35$.
37.4$.
Answer: B
Question: If a computer program generates three-digit odd numbers using the numbers 5, 7, 0, 4, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
Choices:
1/2
1/3
1/6
1/7
Answer: B
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
Choices:
135
185
210
240
Answer: B
Question: In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?
Choices:
9/10
2/5
3/5
½
Answer: A
Question: What will be the cost of house to paint which area equal to 484 sq ft, if the price per foot of building is Rs. 20
Choices:
1760
1400
2600
3600
Answer: A
Question: In 1990 a total of j earthquakes occurred worldwide, some but not all of which occurred in Asia. If c of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Choices:
c/j
c/(j-c)
j/(j-c)
1- (c/j)
Answer: B
Question: Walking at the rate of 5kmph a man cover certain distance in 5hr. Running at a speed of 15 kmph the man will cover the same distance in.
Choices:
36 min
40 min
48 min
60 min
Answer: A
Question: There are 4 people of different heights standing in order of increasing height. The difference is 2 inches between the first person and the second person, and also between the second person and the third person. The difference between the third person and the fourth person is 6 inches and the average height is 78. How tall is the fourth person?
Choices:
84
86
88
90
Answer: A
Question: If a < b < c , which of the following must be true?
(I) a < b^2
(II) a < c - b
(III) a^2 < b^2 < c^2
Choices:
None
II only
III only
II and III
Answer: A
Question: On selling 9 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Choices:
s. 150
s. 155
s. 160
s. 180
Answer: D
Question: How long does a train 60 m long travelling at 60 kmph takes to cross a bridge of 80 m in length?
Choices:
8.4 sec
12.4 sec
6.8 sec
1.8 sec
Answer: A
Question: Five pieces of wood have an average length of 132cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?
Choices:
b) 100
c) 110
d) 120
e) 140
Answer: C
Question: The measurement of a rectangular box with lid is 25cmx12cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
Choices:
288
72
864
964
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 49 hours respectively. The ratio of their speeds is:
Choices:
4 : 3
6 : 7
7 : 2
None of these
Answer: C
Question: What is the remainder when 9^19 is divided by 5 ?
Choices:
1
2
3
4
Answer: D
Question: The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
277
235
88
232
Answer: B
Question: Average of 9 results is 111. If the average of first four results is 106 and average of last four results is 112 Then find the fifth result?
Choices:
131
115
127
125
Answer: C
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 16. The larger of the two numbers is:
Choices:
299
322
345
368
Answer: D
Question: If a and b are both odd numbers, which of the following is an odd number?
Choices:
b+a
ab
ab + 1
NOne
Answer: B
Question: 7 + 3 x 14 + 6 x 7^2 + 6 x 7^3 + 6 x 7^4 + 6 x 7^5 + 6 x 7^6 + 6 x 7^7 =
Choices:
7^14
7^10
7^8
None of the above
Answer: C
Question: Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0
Choices:
19 Pi
12 Pi
46 Pi
22 Pi
Answer: B
Question: If 5 men and 2 boys working together, can do three times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:1
3:3
1:2
6:1
Answer: C
Question: When integer P is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3P
II. 2P
III. 4P + 10
IV. 5P
V .6P
Choices:
II
III
IV
V
Answer: C
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 7/3 %
33 1/3 %
33 5/8 %
34 1/3 %
Answer: B
Question: 3*13+3*14+3*17+11 = ?
Choices:
126
130
143
151
Answer: C
Question: Pipe A that can fill a tank in two hour and pipe B that can fill the tank in an hour are opened simultaneously when the tank is empty. Pipe B is shut 30 minutes before the tank overflows. When will the tank overflow?
Choices:
35 mins
40 mins
32 mins
30 mins
Answer: D
Question: Find next number in sequence
81 87 69 82 84 ?
Choices:
92
88
85
89
Answer: D
Question: What flavor of Network Address Translation can be used to have one IP address allow many users to connect to the global Internet?
Choices:
Static
PAT
Dynamic
DD
Answer: C
Question: Manoj borrowed Rs.4050 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Choices:
5755
2778
6787
1771
Answer: A
Question: Murali travelled from city A to city B at a speed of 30 kmph and from city B to city C at 70 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: If x is 12 percent greater than 80, then x =
Choices:
89.6
88.0
70.9
71.2
Answer: A
Question: What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 3, 4, and 5?
Choices:
3
5
4
2.5
Answer: D
Question: 10 men do a work in 10days. How many men are needed to finish the work in 4days?
Choices:
25
30
10
15
Answer: A
Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Choices:
1390
2778
2779
2121
Answer: A
Question: A rectangular floor is covered by a rug except for a strip Y meters wide along each of the four edge. If the floor is P meters by Q meters, what is the area of the rug in square meters?
Choices:
3(P-2Y)(Q-2Y)
(P-2Y)(Q-2Y)
(P-2Y)(Q-2Y)/3
(P-2Y)(Q-2Y)/4
Answer: B
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 9/7%
42 9/1%
32 6/7%
42 6/2%
Answer: C
Question: The basic one-way air fare for a child aged between 3 and 10 years costs half the regular fare for an adult plus a reservation charge that is the same on the child's ticket as on the adult's ticket. One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult?
Choices:
$52.5
$210
$58.5
$6
Answer: B
Question: Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?
Choices:
2
4
1
5
Answer: A
Question: Speed of a boat in still water is 5 km/hr and speed of the stream is 2 kmph. A man rows to a place at a distance of 252 km and comes back to the starting point the total time taken by him is.
Choices:
200 hr
120 hr
140 hr
180 hr
Answer: A
Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
482
278
298
279
Answer: A
Question: P alone can complete a job in 6 days. The work done by Q alone in one day is equal to one-fifth of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
2
3
4
5
Answer: D
Question: A company’s four cars running 10 hrs a day consume 1200 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 15% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days?
Choices:
1555 lt
1664 lt
1782 lt
4800 lt
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
400 km
410 km
None of these
Answer: A
Question: If w,x,y and z are distinct odd positive integers,then the maximum value of the expression (w^2+x^2)*(y^2+z^2) can be divisible by?
Choices:
2
5
8
10
Answer: A
Question: If a truck is traveling at a constant rate of 72 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
Choices:
24
30
36
48
Answer: B
Question: The G.C.D. of 1.08, 0.35 and 0.9 is:
Choices:
0.01
0.18
0.108
None
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:
36.5 Days
37 Days
37.5 Days
38 Days
Answer: C
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1600. What is the gain or loss in percentage?
Choices:
26%
25%
20%
None of these
Answer: A
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.125. How much was lent at 5%?
Choices:
2777
2688
1000
2500
Answer: D
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
7 sec
3 sec
2 sec
Answer: A
Question: Two cars, Car1 and Car2 move towards each other from E and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach E starting from Y?
Choices:
8.4 sec
33.6 sec
31.11 sec
16.8 sec
Answer: C
Question: 5 people can write 25 book in 20 days working 8 hour a day.then in how many day 125 can be written by 75 people?
Choices:
19/3
20/3
25/3
22/3
Answer: B
Question: in town of 500 people,285 read hindu and 212 read indian express and 127 read times of india 20 read hindu and times of india and 29 read hindu and indian express and 35 read times of india and indian express . 50 read no news paper . then how many read only one paper?
Choices:
321
421
417
317
Answer: A
Question: JOHN and Roger can finish the work 24 days if they work together. They worked together for 16 days and then Roger left. JOHN finished the remaining work in another 16 days. In how many days JOHN alone can finish the work?
Choices:
48 days
70 days
80 days
90 days
Answer: A
Question: A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent E above the cost price were his articles marked?
Choices:
100%
75%
66+2/3%
50%
Answer: A
Question: A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint R, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Choices:
2 1/2
3
3 1/2
4
Answer: A
Question: A group of 3 investors and 3 clients recently frequented the Chinese Luyang Restaurant. The total bill for the meal, including 20% gratuity, came to $720. On average, how much did the meal of each individual cost before gratuity?
Choices:
$96
$90
$80
$100
Answer: D
Question: Working at a constant rate, P can finish a job in 3 hours. Q, also working at a constant rate, can finish the same job in 9 hours. If they work together for 2 hours, how many more minutes will it take P to finish the job, working alone at his constant rate?
Choices:
20
40
50
60
Answer: A
Question: In measuring the sides of a rectangle, one side is taken 9% in excess, and the other 8% in deficit. Find the error percent in the area calculated from these measurements.
Choices:
0.7%
0.4%
0.6%
0.28%
Answer: D
Question: The speed of a boat in upstream is 85 kmph and the speed of the boat downstream is 155 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
11 kmph
16 kmph
18 kmph
35 kmph
Answer: D
Question: From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning.
Choices:
40
56
65
28
Answer: A
Question: The cost of an item was reduced from its usual selling price of $23.99 to $18.99. Which of the following is closest to the percent decrease in the price of the item?
Choices:
21%
24%
25%
42%
Answer: A
Question: A completes a work in 10 days and B complete the same work in 20 days. If both of them work together, then the number of days required to complete the work will be
Choices:
6.67 days
10 days
12 days
13 days
Answer: A
Question: If two dice are thrown simultaneously, then find the probability that the sum of numbers appeared on the dice is 11?
Choices:
7/36
5/36
2/36
12/36
Answer: C
Question: The ratio of the volumes of two cubes is 125 : 1000. What is the ratio of their total surface areas?
Choices:
9 : 11
729 : 1331
1 : 4
None of these
Answer: C
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 864 in 4 years. The sum is:
Choices:
s. 690
s. 668
s. 700
s. 760
Answer: B
Question: If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 4)?
Choices:
4p - 1
p – 2
2p – 1
2p + 1
Answer: A
Question: If the compound interest on a certain sum of money for 2 years at 10% per annum be Rs. 993, what would be the simple interest?
Choices:
Rs. 600
Rs. 895
Rs. 900
None
Answer: A
Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Choices:
8 days
5 days
54 days
2 days
Answer: A
Question: The ratio of spinsters to cats is 2 to 9. If there are 42 more cats than spinsters, how many spinsters are there?
Choices:
10
11
12
13
Answer: C
Question: How many numbers up to 200 are divisible by 2 and 3 both?
Choices:
33
77
28
22
Answer: A
Question: In how many a committee of 5 members can be selected from 6 men 5 ladies consisting of 3 men and 2 ladies
Choices:
451
120
200
120
Answer: C
Question: A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
Choices:
Rs. 7.98
Rs. 8
Rs. 9
None
Answer: A
Question: How many two-digit numbers are there whose remainder when divided by 15 is 1, and whose remainder when divided by 6 is 5?
Choices:
4
5
6
7
Answer: D
Question: If x and y are positive integers, and x^3*y^4 = 27783, which of the following is the value of xy?
Choices:
10
14
15
21
Answer: D
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
306.01
306.04
306.0
306.06
Answer: B
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Choices:
8:00pm,200 km
2:00pm,200 km
2:00pm,900 km
6:00pm,200 km
Answer: B
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs.2.40 per hour for regular work and Rs.3.20 per hours for overtime. If he earns Rs.432 in 4 weeks, then how many hours does he work for?
Choices:
175
180
195
185
Answer: A
Question: A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party E. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?
Choices:
15
30
35
45
Answer: A
Question: A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?
Choices:
7 × 4 × 10
21 × 20 × 19
7! + 4! + 10!
7! × 4! × 10!
Answer: A
Question: Bird is flying 120 km/hr between B to R. Two trains at B to R at 60 kmph. The distance traveled by the bird before it is killed?
Choices:
100 kms.
110 kms.
120 kms.
130 kms.
Answer: C
Question: If the price of a TV is first decreased by 10% and then increased by 30%, then the net change in the price will be :
Choices:
17% increase
10% decrease
6% increase
None of these
Answer: A
Question: At a local supermarket, a box of cereal usually costs 19 dollars. This week, the supermarket sells the box of cereal for 5 dollars. How much money will you save if you buy this cereal at this supermarket?
Choices:
13 dollars
14 dollars
12 dollars
11 dollar
Answer: B
Question: Rectangular tile each of size 35cm by 30cm must be laid horizontally on a rectangular floor of size 1000cm by 210cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Choices:
400
200
500
100
Answer: B
Question: A sum of money at simple interest amounts to Rs. 1560 in 4 years and to Rs. 1590 in 6 years. The sum is:
Choices:
Rs. 1450
Rs. 1500
Rs. 1550
Rs. 1525
Answer: B
Question: Find the odd man out. 1, 3, 9, 12, 19, 29
Choices:
12
1
3
6
Answer: A
Question: There are 50 doors marked with numbers 1 to 50. There are 50 individuals marked 1 to 50.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. If every individual in the group gets one turn, then how many doors are open at the end?
Choices:
2
5
7
9
Answer: C
Question: There is a 30% chance that Cara will visit Egypt this year, while there is a 60% chance that she will visit India this year. What is the probability that Cara will visit either Egypt or India this year, but NOT both?
Choices:
54%
56%
58%
60%
Answer: A
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 20 percent on clothing, 50 percent on food, and 30 percent on other items. If Jill paid a 10 percent tax on the clothing, 15 percent tax on the food, and no tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Choices:
12.5
12.65
12.35
12.25
Answer: D
Question: The positive numbers w, x, y, and z are such that x is 10 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Choices:
16.0%
20.0%
23.2%
24.8%
Answer: A
Question: The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?
Choices:
150
278
111
112
Answer: A
Question: In right triangle ABC, AC is the hypotenuse. If AC is 50 and AB + BC = 70, what is the area of the triangle ABC?
Choices:
450
25√2
200
600
Answer: D
Question: Find the probability that a leap year selected at random will not have 53 Sundays or Mondays.
Choices:
5/7
4/7
3/7
2/7
Answer: B
Question: There are 5 couples. If they will sit 10 chairs in a row such that each couple sits side by side, how many possible cases are there?
Choices:
240
1,200
2,460
3,840
Answer: D
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8.5 m x 6 m x 22.5 cm?
Choices:
6410
6440
6500
6800
Answer: D
Question: Positive integer x is 50 percent of 50 percent of positive integer y, and x percent of y equals 100. What is the value of y?
Choices:
100
400
200
2,000
Answer: C
Question: A train passes a station platform in 35 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
225 m
277 m
765 m
176 m
Answer: A
Question: The average of first four multiples of 4 is :
Choices:
9
10
15
17
Answer: B
Question: How many integers from 101 to 900, inclusive, remains the value unchanged when the digits were reversed?
Choices:
60
70
80
90
Answer: C
Question: Two numbers A and B are such that the sum of 8% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choices:
1 : 2
4 : 3
1 : 3
3 : 2
Answer: C
Question: Three models (M, N, and O) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model M, 17 cars of Model N, and 15 cars of Model O. What is the maximum number of cars of model M in any showroom ?
Choices:
16
15
14
13
Answer: B
Question: If x is an integer and (x)(x^2)(x^3) is positive, which of the following could be negative?
Choices:
(x)(x^3)
(x)(x)
x + x^3
3x^2
Answer: C
Question: A bat is bought for Rs.420 and sold at a gain of 20% find its selling price
Choices:
s.480/-
s.400/-
s.504/-
s.600/-
Answer: C
Question: The diagonals of a rhombus are 14 cm and 20 cm. Find its area?
Choices:
140
150
179
172
Answer: A
Question: A certain class of students is being divided into teams. The class can either be divided into 15 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Choices:
36
48
60
120
Answer: D
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
240
245
250
260
Answer: B
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 15,6400, Deepak's share is:?
Choices:
s.9520
s.8400
s.8429
s.8420
Answer: A
Question: Which of the following numbers has neither 3 or 5 as a distinct prime factor?
Choices:
77
125
132
210
Answer: A
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.2090.What was his original salary?
Choices:
2999
1000
2651
2000
Answer: D
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/1
5/9
5/2
5/7
Answer: B
Question: The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
Choices:
3
9
7
1
Answer: C
Question: By walking at 3/4th of his usual speed, a man reaches office 5 minutes later than usual. What is his usual time?
Choices:
15min
65min
60min
70min
Answer: A
Question: A hostel had provisions for 250 men for 44 days. If 50 men left the hostel, how long will the food last at the same rate?
Choices:
55
50
60
65
Answer: A
Question: I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?
Choices:
7
14
15
17
Answer: C
Question: Tough and Tricky questions: Remainders.
1^1 + 2^2 + 3^3 + ... + 7^7 is divided by 7. What is the remainder?
Choices:
1
2
3
4
Answer: D
Question: What is the next number: 2, 17, 257, __
Choices:
3837
4097
4847
5387
Answer: B
Question: Square X is inscribed in circle Y. If the perimeter of X is 64, what is the circumference of Y?
Choices:
16√ 2π
22√ 2π
12√ 2π
9
Answer: A
Question: The sum of three integers A, B and C is 300. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
Choices:
175
185
190
195
Answer: A
Question: For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $8 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Choices:
1 : 8 : 800
20 : 4 : 1
100 : 4 : 1
400 : 4 : 1
Answer: A
Question: Two mixtures of X and Y have X and Y in the ratio 3:2 and 3:4. In what proportion should these two mixtures be mixed to get a new mixture in which the ration of X to Y is 5:4?
Choices:
5:4
20:7
10:9
14:11
Answer: B
Question: In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $2.5. The factory holds a $62.50 worth stock of 22 modules. How many of the modules in the stock are of the cheaper kind?
Choices:
35
21
40
45
Answer: B
Question: A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
Choices:
3:3
3:1
3:4
3:2
Answer: C
Question: A series S1 of five positive integers is such that the third term is half the first term and the fifth term is 20 more than the first term. In series S2, the nth term defined as the difference between the (n+1) term and the nth term of series S1, is an arithmetic progression with a common difference of 30.
First term of S1 is
Choices:
90
100
120
130
Answer: B
Question: How many sides does the polygon have if the total angles measures up to 900 degrees?
Choices:
7
4
6
None of these
Answer: A
Question: Average weight of 15 boys in a class is 48 kgs. The average weight of the class of 25 students is 45 kgs. What is the average weight of the 15 girls in the class?
Choices:
47.3
39.8
45.5
40.5
Answer: D
Question: A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 670 m?
Choices:
91 sec
89 sec
80 sec
85 sec
Answer: A
Question: A train passes a man standing on the platform. If the train is 245 meters long and its speed is 126 kmph, how much time it took in doing so?
Choices:
67 sec
5 sec
9 sec
7 sec
Answer: D
Question: 3+333+333+3.33=?
Choices:
672.33
702.33
702
None of them
Answer: A
Question: The age of man is three times the sum of the ages of his two sons.Nine years hence,his age will be double of the sum of the ages of his sons.The fatherâ€™s present age is :
Choices:
45 years
50 years
55 years
81 years
Answer: D
Question: If a radio is purchased for Rs 490 and sold for Rs 465.50 Find the loss%?
Choices:
4%
5%
6%
None of these
Answer: B
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings?
Choices:
13
46
37
26
Answer: C
Question: if page of chemistry book is 30 more than page of physics book.if ratio of pages is
5:3.a child torn 15 pages of chemistry book.calculate new ratio.
Choices:
2:1
5:4
4:3
2:3
Answer: C
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
77
48
99
11
Answer: B
Question: In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 4 ?
Choices:
-4
3
4
9/2
Answer: B
Question: 0.0203 x 2.92/0.0073 x 14.5 x 0.7 = ?
Choices:
0
0.8
8
7
Answer: B
Question: If two sides of a triangle have lengths 3 and 8, which of the following could be the perimeter of the triangle? I. 9 II. 15 III. 19
Choices:
I only
II only
III only
I, II, and III
Answer: C
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
20
25
26
30
Answer: A
Question: A is the average (arithmetic mean) of the first 7 positive multiples of 5 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
Choices:
6
10
15
20
Answer: B
Question: A school give scholarship of a total of $940,000 to students, the scholarship consist of 3 types $95,000, $35,000, and $10,000. What is the smallest possible number of students who take the scholarship?
Choices:
14
15
16
17
Answer: B
Question: How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 25%?
Choices:
60 ml
125 ml
130 ml
150 ml
Answer: B
Question: At garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 9th highest price and the 35th lowest price among the prices of the items sold, how many items were sold at the garage sale?
Choices:
43
44
49
46
Answer: A
Question: Find the one which does not belong to that group ?
Choices:
4
5
9
7
Answer: A
Question: If log 32 x= 0.8, then x is equal to
Choices:
16
10
12.8
None
Answer: A
Question: When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 42 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
Choices:
5 minutes, 21.8 seconds
5 minutes, 43.56 seconds
5 minutes, 44.44 seconds
6 minutes, 10.4 seconds
Answer: D
Question: The average score in an examination of 10 students of a class is 50. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is
Choices:
97
89
98
95
Answer: B
Question: When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Choices:
25300
21000
23560
24540
Answer: A
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (4x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 - x) is an odd negative integer
Choices:
II only
I and II
I and III
I,II and III NOT TRUE
Answer: D
Question: wo trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in
Choices:
14.4 sec
12.4 sec
14.8 sec
15.4 sec
Answer: A
Question: A train 165 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
9
8
5
Answer: B
Question: Coach John has to form a team of 4 players to be selected from a pool of 6 players: Alan, Ben, Charles, Danny, Edward and Frank. John does not want Ben on the team but definitely wants Edward. Also, John does not want Alan and Charles on the same team. If John makes a random selection of 4 players, what is the probability that he will have a team that fulfills his criteria?
Choices:
1/15
2/15
1/3
2/3
Answer: B
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
Choices:
528
494
464
None of these
Answer: A
Question: Rs.2080 is divided so that 3 times the first share, thrice the 2nd share and four times the third share amount to the same. What is the value of the second share?
Choices:
s208
s960
s690
s906
Answer: B
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 20 kmph respectively. In what time will they cross each other completely?
Choices:
18 sec
12 sec
10 sec
11 sec
Answer: A
Question: What is 0.01 percent of 12,356?
Choices:
1.2356
12.356
0.012356
0.0012356
Answer: A
Question: The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age? [0.5 Decades = 5 Years]
Choices:
40 years
45 years
47 years
None of these
Answer: B
Question: In a class,30 students pass in english and 20 students in maths,while some students among these pass in both.how many students do only english as compared to those doing only maths?
Choices:
15
4
12
indeterminate
Answer: D
Question: In Orange County one tenth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choices:
42.
85.
70.
252.
Answer: C
Question: A recipe contains 100g of sugar and milk, a quarter of sugar in butter. If it contains more milk 45g butter it contains sugar?
Choices:
44
50
30
68
Answer: A
Question: What is the radius of a circle that has a circumference of 3.14 meters?
Choices:
2.5
1.3
0.5
0.7
Answer: C
Question: A train is running at a speed of 40 km/hr and it crosses a post in 17.1 seconds. What is the length of the train?
Choices:
190 metres
200 metres
120 metres
250 metres
Answer: A
Question: Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 30 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 50 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
Choices:
84
132
144
180
Answer: A
Question: There are 10 students named alphabetically from A to J. What is the Probability that A and D do not sit together if all 10 sit around a circular table?
Choices:
2/5
7/9
4/5
8/9
Answer: B
Question: A car covers a distance of 660 km in 6 hours. Find its speed?
Choices:
7778
266
110
121
Answer: C
Question: If José reads at a constant rate of 5 pages every 5 minutes, how many seconds will it take him to read N pages?
Choices:
60
5/2*N
24N
150
Answer: A
Question: Calculate the percentage gain if a trader bought a bicycle for Rs 950 and sold it for Rs.1500?
Choices:
52.89%
59.89%
56.89%
57.89%
Answer: D
Question: Find the cube root of 804357?
Choices:
88
93
19
18
Answer: B
Question: 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
Choices:
7 2⁄3
6 2⁄3
6 1⁄3
None of these
Answer: B
Question: If the day before yesterday was Thursday, when will Sunday be?
Choices:
Tomorow
Two days after today
Today
None of these
Answer: A
Question: There are two batches A and B of a class. Batch A consists of 36 students and batch B consists of 44 students. Find the average weight of whole class, if average weight of batch A is 40 kg and that of batch B is 35 kg.
Choices:
32.56 kg
35.66 kg
37.25 kg
NONE OF THE ABOVE
Answer: C
Question: 30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
10 days
55 days
44 days
22 days
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
2767
245
277
232
Answer: B
Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?
Choices:
2827
2880
2827
2837
Answer: B
Question: In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 35 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
80x/7
80/9x
20x/13
80x/9
Answer: A
Question: Suppose two numbers are in the ratio 2:3. If 5 is subtracted from both of the numbers then the ratio becomes 1:2 then find the greatest number?
Choices:
15
10
20
25
Answer: A