antoine-444/aqua_rat_dataset huggingface dataset:
Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 50 minutes, how many times do they toll together?
Choices:
10
15
16
26
Answer: D
Question: If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is?
Choices:
526
207
204
297
Answer: C
Question: Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 56, 91
Choices:
91
37
28
21
Answer: A
Question: rahul played weel in this season.his current batting averagge is 46.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season.
Choices:
10
3
6
5
Answer: B
Question: The simple interest on Rs. 34 for 8 months at the rate of 6 paise per rupeeper month is
Choices:
16.32
12.25
13.21
None
Answer: A
Question: A train running at the speed of 58 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
145
278
277
112
Answer: A
Question: Calculate the average mark scored by Andrea if he had the following scores in an examination: 66, 60, 72, 77, 55 and 85 marks (out of 100) in English, Mathematics, Chemistry, Biology, French Language and Physics respectively?
Choices:
76
70
67
69.2
Answer: D
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 70 paise per sq. metre
Choices:
s595
s880
s480
s980
Answer: A
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average one number, namely 36 was wrongly read as 26. The correct average is :
Choices:
14
16
18.6
None of these
Answer: B
Question: A woman sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Choices:
700%
430%
9%
125
Answer: C
Question: A man sells an article at 15% loss. Had he sold it for Rs. 70/- more he could have gained 20%. What is the cost price of the article?
Choices:
Rs.200/-
Rs.460/-
Rs.480/-
None of these
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 180o. Find its perimeter?
Choices:
92
108
94
95
Answer: B
Question: If 40% of a number exceeds 25% of it by 18, then find the number?
Choices:
120
200
64
100
Answer: A
Question: Among the first 1 million numbers, 40 is a number that is pretty unique.
Can you find out why ?
Choices:
31
45
39
40
Answer: D
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
77
18
77
65
Answer: B
Question: If l / r is an integer, which of the following statements must be true?
Choices:
r / l is an integer
r is an integer
l = nr where n is an integer
either l or r is negative
Answer: C
Question: Amy, Max and Nim, each have a basket full of apples. The number of apples each have is in the ratio 7:8:9 respectively. what could be the product of the number of apples.
Choices:
4032
1033
4123
5102
Answer: A
Question: A bicyclist's wheel has a circumference of 4 meters. if the bicyclist covers 40 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
Choices:
2
4
5
6
Answer: A
Question: How many perfect squares less than 1000 end with the digit 6?
Choices:
4
5
6
7
Answer: C
Question: 5 friends went to a restaurant and decided to pay the bill amount equally. But 4 of them could pay Rs. 50 each as a result 5th has to pay Rs. 40 extra than his share. Find the amount paid by him.
Choices:
110
50
100
None
Answer: C
Question: A glass was filled with 40 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.02%
0.5%
5%
20%
Answer: B
Question: If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio D of the resistors’ sum of A and C to the resistors’ sum of A and B?
Choices:
2(R1+R2):(R1+2R2)
(2R1+R2):(R1+2R2)
2(R1+R2):(2R1+R2)
2(R1-R2):(R1+2R2)
Answer: A
Question: The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
Choices:
482 kms
552 kms
556 kms
500 kms
Answer: B
Question: The dimensions of a field are 20 m by 5 m. A pit 10 m long, 4 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ?
Choices:
5m
4m
2m
3m
Answer: C
Question: 79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,073 bacteria each. How many bacteria are there approximately?
Choices:
10^9
10^8
10^10
10^11
Answer: B
Question: Each shelf of a bookcase contained 11 books. If the librarian took out 32 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 3 books, how many shelves does the bookcase have?
Choices:
6
7
8
9
Answer: B
Question: Five kg of butter was bought by a shopkeeper for 300. One kg becomes unsaleable. He sells the remaining in such a way that on the whole he incurs a loss of 10%. At what price per kg was the butter sold?
Choices:
67.5
60
72.5
None of these
Answer: A
Question: If C = 2D+1 where C is an Integer then which of the following is true?
Choices:
C is always Even
C is a non multiple of 2
C= 1
C is even if D is a non integer and a multiple of 0.5
Answer: D
Question: A man can row upstream at 7kmph and downstream at 10kmph. Find man's rate in still water ?
Choices:
8.5km/hr
5km/hr
1.5km/hr
2.6km/hr
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
12/5 hours
30/73 hours
30/13 hours
50/13 hours
Answer: A
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Choices:
340
430
450
480
Answer: D
Question: A man can do a piece of work in 5 days, but with the help of his son he can do it in 4 days. In what time can the son do it alone ?
Choices:
6 days
12 days
20 days
None of these
Answer: C
Question: In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 6, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?
Choices:
1200
1500
1600
2000
Answer: D
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%?
Choices:
29%
70%
27%
5%
Answer: D
Question: A farmer has 3,000 seeds which is enough for him to plant seeds every day for 50 days. After 10 days he loses some of the seeds and the remaining seeds is now enough for him to plant for the same period of 50 days as before. How many seeds did he lose?
Choices:
600
1,000
900
700
Answer: A
Question: What will come in place of the x in the following Number series? 3, 6, 12, x , 33
Choices:
37
39
21
43
Answer: C
Question: If 50% of x is 30 less than 25% of 1500, then x is?
Choices:
690
560
875
880
Answer: A
Question: $600 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
Choices:
$150
$125
$200
$240
Answer: D
Question: A sum of 14,800 amounts to 19,800 in 3 years at the rate of simple interest. What is the rate of interest?
Choices:
11%
16%
15%
18%
Answer: A
Question: A basket contains 8 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
Choices:
1/3
1/4
1/5
1/6
Answer: B
Question: A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 5 days before the project is completed, in how many days will the project be completed?
Choices:
27 days
26.67 days
15 days
12 days
Answer: C
Question: The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be after they subtract an antenna with a height of z feet to the top?
Choices:
2x−(37+z)
(x−37)/2 + z
x/2 - 37 + z
(x−37)/2 + z
Answer: D
Question: There are 12 cans in the refrigerator. 7 of them are red and 5 of them are blue. In how many ways we can remove 11 cans so that at least one red and at least one blue cans to remain the refrigerator.
Choices:
4
493
455
445
Answer: A
Question: What is the area of the given rectangle?
I.	Perimeter of the rectangle is 60 cm.
II.	Breadth of the rectangle is 12 cm.
III.	Sum of two adjacent sides is 30 cm.
Choices:
II only
I and II only
II and III only
II and either I or III
Answer: D
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 54 kmph?
Choices:
77 sec
16.7 sec
18 sec
17 sec
Answer: B
Question: If d + xy = d and x is not equal to 0, which of the following must be true?
Choices:
x+y=0
x<y
y=0
x=d
Answer: C
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 60 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
389$
420$
450$
489$
Answer: D
Question: (1-1/n)+( 1-2/n)+(1-3/n)+…… up to n terms=?
Choices:
1/2(n-1)
1/2n(n-1)
none of these
cannot be determined
Answer: A
Question: In a fraction, if numerator is added by 2 and denominator by 1 it results 1, and if numerator added again by 4 and denominator by 2 it results 1/2. Find the fraction?
Choices:
5/4
7/4
9/4
11/4
Answer: A
Question: LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is
Choices:
285
300
275
None of these
Answer: C
Question: There are two numbers whose sum is 72. One number is twice the other. What are the
numbers?
Choices:
24-48
35-42
20-40
33-55
Answer: A
Question: In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 100 bricks in the wall, how many bricks does the bottom row contain ?
Choices:
18
17
15
19
Answer: A
Question: In track last week, the boys ran 15 laps. The girls ran 5 more
laps. Each lap is a one-fifth of a mile. How many miles did the girls run?
Choices:
3 miles
4 miles
5 miles
6 miles
Answer: B
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was?
Choices:
14 years
18 years
19 years
15 years
Answer: A
Question: P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Choices:
2/7
8/15
7/5
2/8
Answer: B
Question: 3*14 + 3*15 + 3*18 + 11 = ?
Choices:
126
130
148
152
Answer: D
Question: A man can row upstream at 25 kmph and downstream at 37 kmph, and then find the speed of the man in still water?
Choices:
67
31
15
17
Answer: B
Question: A number exceeds 20% of itself by 40. The number is
Choices:
50
80
320
None
Answer: A
Question: Calculate the time it will take for a train that is 120 meter long to pass a bridge of 160 meter length, if the speed of the train is 40 km/hour ?
Choices:
25.2 seconds
29.2 seconds
35.2 seconds
11.2 seconds
Answer: A
Question: The least value of expression 2log10 x - logx (1/100) for x>1 is:
Choices:
3
4
5
6
Answer: B
Question: A person covered one-fourth of the total distance at 22 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
21 (1/15)
23 (7/15)
29 (1/15)
21 (4/15)
Answer: B
Question: 24 oz of juice P and 25 oz of juice E are mixed to make smothies X and Y . The ratio of p to E in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
Choices:
10
15
20
25
Answer: C
Question: Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability T that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Choices:
T=9/28
T=10/28
T=10/18
T=11/18
Answer: A
Question: How many different subsets of the set {10, 14, 13, 24} are there that contain an odd number of elements?
Choices:
6
8
10
12
Answer: B
Question: Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 12 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?
Choices:
4.5
6
8
6.5
Answer: B
Question: How many possible positive integer values are there for k if -24 < 9k – 6 ≤ 3?
Choices:
One
Two
Three
Four
Answer: A
Question: hree number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Choices:
40
60
70
80
Answer: A
Question: John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4125. What is the difference between Rose ’s and Tom ’s share in the profit?
Choices:
s.362
s.375
s.382
s.390
Answer: B
Question: By travelling at 80 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:
40 kmph
35 kmph
46 kmph
50 kmph
Answer: A
Question: On a particular mathematics exam, the student has 5 answers to choose from. If the student guesses at the answers, the probability of the student getting a correct answer on each question is 1/5. What is the least number of times that the student should guess in order to take the probability of getting a correct answer at least once to more than 50%.
Choices:
4
2
5
6
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 8 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-16)
8/(R-8)
2R - 4
Answer: B
Question: The ratio between the presents of the A and B is 2:3. If B is 5 years older than A, what will be the ratio of the ages of A and B after 5 years?
Choices:
3:4
2:3
5:6
1:3
Answer: A
Question: If a randomly selected non-negative single digit integer is added to {2, 3, 6, 8}. What is the probability that the median of the set will increase but the range still remains the same?
Choices:
0.3
0.4
0.5
0.6
Answer: B
Question: A cubic object 3'' x 3'' x 3'' is painted blue on all the outside surfaces, including the top and bottom. If the cube is cut into 27 cubes of 1'' x 1'' x 1'' , how many 1" cubes do have any painted surfaces?
Choices:
22
26
33
44
Answer: B
Question: Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
Choices:
24.5 years
12.5 years
28.5 years
29.5 years
Answer: A
Question: If x is a sum of all even integers on the interval 13...55 and y is their number, what is the GCD (x, y)?
Choices:
21
26
52
1014
Answer: A
Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is:
Choices:
65
54
34
44
Answer: B
Question: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 380 miles apart, at what time will the trains pass each other?
Choices:
12:49pm
12:55pm
1:01pm
1:05pm
Answer: C
Question: On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 percent of the total consignment. How many eggs in total were in the consignment?
Choices:
600
800
200
900
Answer: A
Question: A man walks at certain place and rides back in 10 hours. He could ride both ways in 8 hours. The time taken by him to walk both ways?
Choices:
12
14
16
None of above
Answer: A
Question: In Arun's opinion, his weight is greater than 66 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 69 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choices:
67.5 kg
46.5 kg
26.5 kg
16.5 kg
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Choices:
250
127
279
150
Answer: A
Question: For integers x, y, and z, if (3^x) (4^y) (5^z) = 838,860,800,000 and x + y + z = 19, what is the value of xy/z?
Choices:
0
4
6
8
Answer: A
Question: The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 60.5. When one student dropped the class, the average of the remaining scores increased to 64.0. What is the quiz score of the student who dropped the class?
Choices:
a) 8
c) 40
d) 55
e) 70
Answer: A
Question: At the beginning of 2011, Company X created a list of n charities, and committed to donating 10% of its prots for the year to these charities, donating an equal amount to each charity. However, during the year, Company X removed a charities from this list, and donated 10% of its prot in equal amounts to each of the remaining charities on the list. If the Wesley Homeless Shelter was one of the charities on the list which received a donation from Company X, which of the following represents, in terms of n and a, the percent increase in the amount the Wesley Homeless Shelter received because the a charities were removed from the list?
Choices:
100a/(n-a)
100(n-a)/n
100n/(n-a)
100(n-a)/a
Answer: D
Question: 8 points are marked on a straight line and another 9 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
105
196
20
14
Answer: C
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.50 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$255
$510
$1,250
$2,550
Answer: A
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 14 cm each. The radius of the sphere is
Choices:
4 cm
6 cm
7 cm
None
Answer: C
Question: A train 110 m long is running with a speed of 36 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
7
9
5
Answer: C
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 106. What was the number he chose?
Choices:
267
277
122
120
Answer: C
Question: In a camp, there is a meal for 160 men or 220 children. If 160 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
16
15
14
20
Answer: A
Question: 2 friends A n B running up hill and then to get down length of road 440 yads A on his return journey met B going up at 20 yards from top if A has finished race 5 minute earlier than B then how much time A had taken to complete the race ?
Choices:
110 minute
120 minute
130 minute
140 minute
Answer: A
Question: Wilson can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
Choices:
1 hour and 30 minutes.
1 hour.
1 hour and 40 minutes.
2 hours and 15 minutes.
Answer: B
Question: City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 5:00 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
Choices:
5:30
6:00
6:30
7:00
Answer: D
Question: A sports equipment store sold ping pong rackets for a total of $735. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
Choices:
100
490
500
75
Answer: D
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 11 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Choices:
90
240
480
880
Answer: D
Question: Lucy deposited $62500 in an investment fund that provided 20 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
Choices:
2.4
3
6
6.1
Answer: A
Question: The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-fourth of its original value. How many amperes of electrical current will flow through the wire?
Choices:
4
8
16
24
Answer: C
Question: The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination
Choices:
14 years 5 month
14 years 8 month
15 years
15 years 5 month
Answer: B
Question: In a division sum, the divisor is 12 times the quotient and 6 times the remainder. If the remainder is 24, what is the divident?
Choices:
1752
1846
1648
None
Answer: A
Question: What is the minimum number of square marbles required to tile a floor of length 3 metres 39cm and width 2 metres 26 cm?
Choices:
187
540
748
6
Answer: D
Question: In how many different number of ways 5 men and 2 girls can sit on a shopa which can accommodate persons?
Choices:
200
210
220
240
Answer: B
Question: In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Choices:
220
230
240
360
Answer: D
Question: Three pounds of 05 grass seed contain 5 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 15 percent herbicide?
Choices:
3.75
4.5
6
9
Answer: C
Question: Machine–X produces 50% of the total output and Machine-Y produces 75% of the total output. An average of 16 units out of a thousand goods manufactured by Machine-X and 3 unit of 500 units produced by Machine-X prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Choices:
0.01
0.04
0.06
0.08
Answer: A
Question: One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field.
Choices:
120
251
451
258
Answer: A
Question: 6 points are marked on a straight line and another 8 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
105
288
21
14
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12400 after a year?
Choices:
9232
3720
3720
2813
Answer: B
Question: I. c^2 - 9c + 20 = 0,
II. 2d^2 - 5d- 12 = 0 to solve both the equations to find the values of c and d?
Choices:
c ≤ d
the relationship between c and d cannot be established
c> d
a ≥ b
Answer: D
Question: From the word 'CARRIAGE', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
Choices:
8
3
2
9
Answer: B
Question: The value of a machine depreciates at 23% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?
Choices:
$432935
$122935
$112935
$152935
Answer: C
Question: A train travels from New York to Chicago, a distance of approximately 480 miles, at an average rate of 40 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
Choices:
4:00
5:00
6:00
7:00
Answer: D
Question: What is the remainder when 9^1 + 9^2 + 9^3 +...+ 9^9 is divided by 9?
Choices:
3
0
5
None of the above
Answer: B
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:
4500
2689
2761
2882
Answer: A
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number ?
Choices:
4
5
8
9
Answer: C
Question: Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 17 times as heavy as water?
Choices:
3:2
4:1
5:2
6:5
Answer: B
Question: In what time will the simple interest be 2/5 of the principal at 8 per cent per annum?
Choices:
7 years
6 years
5 years
4 years
Answer: B
Question: A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
Choices:
7
9
6
5
Answer: A
Question: The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 9 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
Choices:
30 km
45 km
50 km
60 km
Answer: B
Question: In a certain alphabet, 20 letters contain a dot and a straight line. 36 letters contain a straight line but do not contain a dot. If that alphabet has 60 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Choices:
4
14
20
28
Answer: A
Question: Choose the missing terms out of the given alternatives.
JE, LH, OL, SQ, ?
Choices:
XW
WV
WX
VW
Answer: A
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Choices:
9400
9600
9800
9200
Answer: B
Question: A bag contains 40 black balls and 50 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
5/7
1/2
1/4
1/3
Answer: A
Question: The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 3600 for a computer table, then what was the cost price of the computer table?
Choices:
2699
3000
6725
2601
Answer: B
Question: It takes John 5 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
7:30
6:30
6
5
Answer: A
Question: A man purchased a grinder for Rs. 420 and sold it at a profit of 10%. The selling price is:
Choices:
Rs. 462
Rs. 684
None of these
Cannot be determined
Answer: A
Question: A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
350 m
650 m
None of these
Cannot be determined
Answer: A
Question: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
21 (1/3) kmph
81 (1/3) kmph
21 (1/7) kmph
23 (1/3) kmph
Answer: A
Question: How many odd integers from 1 to 100 (both inclusive) have odd number of factors?
Choices:
14
5
6
7
Answer: B
Question: At the faculty of Aerospace Engineering, 302 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
Choices:
432
346
422
448
Answer: C
Question: 20 beavers, working together in a constant pace, can build a dam in 18 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?
Choices:
24.
30.
36
38.
Answer: B
Question: An Office used three types of envelopes: small,medium and large. They used 80 small envelopes. The no.of Medium envelopes used was 5 times, the no.of small envelopes plus 5/20 of the number of envelopes. The no.of.large envelopes was equals to the no.of small envelopes plus 5/20 of the no.of medium envelope. Altogether, How many envelope did they use?
Choices:
960
972
970
980
Answer: A
Question: Simplify: 1005-1000+10
Choices:
926
1001
905
None of them
Answer: C
Question: One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 250cm when it touches the floor on third time. What is the value of the original height?
Choices:
90cm
100cm
120cm
130cm
Answer: B
Question: A drum has a combination of 2 liquids X and Y in the proportion 7:5 when 9 L of combination are taken out and the Drum is filled with Y, the proportion of X and Y becomes 7:9. Then how many litres of liquids X was obtained by the Drum initially?
Choices:
21 litres
23 litres
24 litres
25 litres
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 10 minutes, then the area of the park (in sq. m) is:
Choices:
153600
153602
153603
240000
Answer: D
Question: The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
80 kg
85 kg
90 kg
None
Answer: B
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 70 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?
Choices:
25
30
40
50
Answer: C
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
4/35
9/42
8/41
9/67
Answer: B
Question: In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 400 students and the middle school enrolled 200 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?
Choices:
r/3
r/4
r/5
r/8
Answer: A
Question: What is the perimeter of a square with area p^2/16 ?
Choices:
3p^2/4
p
3p^2
4p/3
Answer: B
Question: A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 3 liters of water cost?
Choices:
33
56
50
52
Answer: C
Question: The difference between the simple interest received from two different sources on Rs. 1000 for 3 years is Rs. 13.50. The difference between their rates of interest is?
Choices:
B)2.6%
C)0.3%
D)0.25%
E)1.3%
Answer: C
Question: Find the compound interest on $1200 for 6 years at 20% p.a. if CI is component yearly?
Choices:
$150
$2383
$250
$300
Answer: B
Question: A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
Choices:
Rs.121
Rs.126
Rs.128
Rs.129
Answer: A
Question: What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (24^2 – 1))
Choices:
b. 10/19
c. 12/25
d. 11/21
e. 11/19
Answer: B
Question: If y ≠ 3 and 2m/y is a prime integer greater than 2, which of the following must be true?
I. m = y
II. y = 1
III. m and y are prime integers.
Choices:
None
II only
III only
I and II
Answer: A
Question: The sum of two numbers is 75 and their difference is 20. Find the difference of their squares.
Choices:
2700
1500
1254
3421
Answer: B
Question: The value for G=(0.889 × 55)/9.97 to the nearest tenth is
Choices:
4.63
4.9
7.7
49.1
Answer: B
Question: Two quarts containing 6⁄7 water and 1/7 formula are mixed with three quarts containing 7⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
Choices:
76%
73%
72%
60%
Answer: A
Question: The price of a book is increased from $300 to $360. What is the % of increase in its price?
Choices:
20%
35%
40%
50%
Answer: A
Question: Linda and Angela contract to paint a neighbor's house. Even though Linda
spends 75% more time painting the house than Angela, each receives a payment
of m dollars when the work is completed. If Angela decides to pay Linda n
dollars so that they would have received the same compensation per hour
worked, what is n in terms of m?
Choices:
B)(1/3)m
C)(9/33)m
D)(1/5)m
E)(1/6)m
Answer: B
Question: The speed of a car is 65 km in the first hour and 45 km in the second hour. What is the average speed of the car?
Choices:
55 kmph
50 kmph
80 kmph
82 kmph
Answer: A
Question: 4, 16, 36, 49, 64 ?, F ind the missing number(?).
Choices:
74
110
99
100
Answer: D
Question: A train is running at a uniform speed of 80 kmph. It passes a railway platform in 15 seconds. If the length of the platform is 130 m,then the length of the train is
Choices:
203.33 m
140.5 m
150.5 m
None of these
Answer: A
Question: Sophika can buy watches at a price of P dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of X by selling Y watches, then in terms of P and X and Y, what is the percent of the markup from her buy price to her sell price?
Choices:
100X/(YP)
(YP)+100X
(YP)-100X
(YP)*100X
Answer: A
Question: Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 2 feet were added to each fence, which of the following must be true?
I) X is twice as long as Y.
II) Y is 2 feet shorter than Z.
III) X is longer than Z.
Choices:
II only
II and III
I and II
III only
Answer: B
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
18 Years
20 Years
22 Years
17 Years
Answer: C
Question: If a > 1, which of the following is equal to (2a + 6)/(a^2 + 4a + 3)?
Choices:
a + 3
2/(a - 1)
2a/(a - 3)
2/(a + 1)
Answer: D
Question: A motorist travels to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. His average speed for the whole journey in km/hr is ?
Choices:
37.53
37.5
37.1
37.4
Answer: B
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Choices:
3:4:7
3:4:2
3:4:4
3:4:3
Answer: A
Question: Two different primes may be said to “rhyme” around an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
Choices:
15
17
18
20
Answer: C
Question: A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Choices:
30%
40%
50%
55%
Answer: A
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Choices:
10
77
65
55
Answer: A
Question: One night 25 percent of the female officers on a police force were on duty. If 500 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
180
270
500
1,000
Answer: D
Question: In a group of Peacocks and cows, the total number of legs are 36 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
19
12
16
18
Answer: D
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
10
77
26
22
Answer: A
Question: Which of these must the factor W of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
Choices:
W=2,3 only
W=1,2,3 only
W=1,2,3,4 only
All of them
Answer: C
Question: There are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. If it was decided that the positions would be filled at random, then what is the probability Q that the both positions will be taken by members of just one party?
Choices:
12/49
1/4
24/49
1/2
Answer: C
Question: If there are 4 peanuts in a box and Mary puts 12 more peanuts inside, how many peanuts are in the box?
Choices:
16
10
11
12
Answer: A
Question: A qualified worker digs a well in 4 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
Choices:
1:34
1:44
1:36
2:14
Answer: C
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
15 kmph.
18 kmph.
11 kmph.
12 kmph.
Answer: A
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?
Choices:
1/16
1/8
1/2
1/4
Answer: C
Question: Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 850 as total interest. What was the amount he lent out at 8% pa.a?
Choices:
Rs. 15000
Rs. 25000
Rs. 10000
Rs. 18000
Answer: A
Question: What is the next number of the following sequence
3^2,27,3^4,243
Choices:
3^6
3^4
3^2
3^1
Answer: A
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is?
Choices:
1/7
1/9
1/2
1/1
Answer: A
Question: The number of sequences in which 10 players can throw a ball, so that the youngest player may not be the last is ?
Choices:
3265920
4320201
3786220
3101242
Answer: A
Question: A and B are two partially filled buckets of water. If 5 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 3 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Choices:
13
17
49/5
23
Answer: C
Question: Two bullet trains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
11 sec.
12 sec.
17 sec.
19 sec.
Answer: A
Question: A batsman scored 120 runs which included 10 boundaries and 6 sixes. What % of his total score did he make by running between the wickets
Choices:
50%
36.67%
70%
75%
Answer: B
Question: In the interior of a forest, a certain number of apes equal to the square of one-sixth of the total number are playing and having great fun. The remaining five apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes?
Choices:
16
64
6 or 30
16 or 48
Answer: C
Question: Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
Choices:
5
8
7
9
Answer: A
Question: If x and y are integers and x^2*y is a negative odd integer, which of the following must be true?
I. xy^2 is odd.
II. xy is negative.
III. x + y is even.
Choices:
III only
I and II only
I and III only
I, II, and III
Answer: C
Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 240 feet in circumference.After how many minutes are the three of them together again?
Choices:
4 mins
15 mins
3 mins
7 mins
Answer: A
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
9 min
4 min
3 min
8 min
Answer: B
Question: P is three times as fast as Q and working together, they can complete a work in 16 days. In how many days can Q alone complete the work?
Choices:
16 days
13 days
64 days
19 days
Answer: C
Question: Set A: {1, 3, 6, 9, 12, 15,18}
If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
Choices:
2/7
9/14
4/7
11/14
Answer: C
Question: The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 5 and 8 slices per customer. How many slices cannot be bought?
Choices:
38.
33.
22.
20
Answer: C
Question: A room contains 240 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Choices:
04
06
08
10
Answer: B
Question: If a and b are positive integers such that a/b = 9.32, which of the following must be a divisor of a
Choices:
4
11
10
5
Answer: A
Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
Choices:
37.5%
38.5%
27.5%
37.1%
Answer: A
Question: The average of 11numbers is 50. Out of 11numbers the average of first 6no. is 58, and last 6numbers is 65 then find 6th number?
Choices:
A)188
C)58
D)62
E)48
Answer: A
Question: Points X, Y, and Z lie, in that order, on a straight railroad track. The distance from point X to point Y is twice the distance from point Y to point Z. A train traveled from point X to point Z without stopping. The train's average speed when traveling from point X to point Y was 300 miles per hour and the train's average speed when traveling from point Y to point Z was 100 miles per hour. What was the train's average speed, in miles per hour, when traveling from point X to point Z?
Choices:
220
240
180
260
Answer: C
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?
Choices:
16 seconds
26 seconds
12 seconds
18 seconds
Answer: A
Question: During a recent track meet, Peter ran x meters of the 100 meter dash in 8 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash?
Choices:
8zx
8x/z
8/xz
8z/x
Answer: D
Question: Average between two sets of numbers is closer to the set withmore numbers?
Choices:
80
90
95
98
Answer: A
Question: Exactly one side of a certain 10-sided die are red. What is the probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll?
Choices:
0.1
0.081
0.091
0.074
Answer: B
Question: With out any halt a train travels a certain distance with an average speed of 75 km ph , and with halts it covers the same distance at an average speed of 60 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
Choices:
12min.
15min.
18min.
19min.
Answer: A
Question: 20 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
Choices:
180
50.4
60
90
Answer: A
Question: In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
Choices:
60
10
20
30
Answer: B
Question: A cricketer has certain average for 5 innings. In the 6 inning he scored 90 runs, there by increasing his average by 8 runs. His new average is
Choices:
42
60
48
36
Answer: A
Question: The average salary of Raj and Roshan is Rs. 4000 but the average salary of Raj, Roshan and Thomas is Rs. 5000. What is the salary of Thomas?
Choices:
5000
6000
7000
8000
Answer: C
Question: 300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
12
14
16
18
Answer: A
Question: A movie buff buys movies on DVD and on Blu-ray in a ratio of 17:4. If she returns 4 Blu-ray movies, that ratio would change to 9:2. If she buys movies on no other medium, what was the original number of movies purchased?
Choices:
28
77
99
378
Answer: D
Question: The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of
Choices:
40%
35%
32.5%
30%
Answer: A
Question: In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different Q sets can be produced by this process?
Choices:
41
125
243
512
Answer: A
Question: It takes Avery 3 hours to build a brick wall while Tom can do it in 2.5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Choices:
30 minutes.
40 minutes.
55 minutes
1 hour and 20 minutes
Answer: B
Question: A and B together have $1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Choices:
$395
$484
$512
$542
Answer: B
Question: Tough and Tricky questions: Word Problems.
AC Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit?
Choices:
$4,036
$9,035
$16,140
$36,140
Answer: B
Question: A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Choices:
36 kmph
30 kmph
42 kmph
None of these
Answer: A
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choices:
13%
20%
23%
26%
Answer: B
Question: Find the value of X: 2a^2-7a+10 = 14
Choices:
5
6
4
2
Answer: C
Question: If one type of tobacco costs Re.1/- per kg and other type costs Rs. 5/- per kg. What quantity of first type and second type are mixed so that 100 kg of mixture costs Rs. 100/-?
Choices:
100 kg
150 kg
200 kg
250 kg
Answer: A