antoine-444/aqua_rat_dataset huggingface dataset:
Question: The cost of 4 bags and 12 purses is Rs.1600, what is the cost of 10 bags and 30 purses?
Choices:
Rs.4000
Rs.3800
Rs.3900
None of these
Answer: A
Question: When positive integer n is divided by 7, the remainder is 1. When n is divided by 11, the remainder is 5. What is the smallest positive integer k such that k+n is a multiple of 77?
Choices:
4
6
8
10
Answer: B
Question: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and a delta raised to the seventh power?
Choices:
beta
gamma
delta
epsilon
Answer: B
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
11 1/4
19 1/9
11 1/2
11 1/41
Answer: A
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choices:
100 gallons
120 gallons
180 gallons
200 gallons
Answer: B
Question: A and B undertake to do a piece of work for Rs. 1200. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B.
Choices:
450
750
800
None of them
Answer: A
Question: Given two fair dice, what is the probability Q that the sum of their numbers is 4 if exactly one die shows a 3?
Choices:
a) 2/11
c) 3/11
d) 2/39
e) 1/5
Answer: A
Question: 60 + 5 * 12 / (180/3) = ?
Choices:
120
13
61
50
Answer: C
Question: A brick measures 20cm*10cm*7.5cm how many bricks will be requiredfor a wall 25m*2m*0.75m ?
Choices:
23000
22000
25000
27000
Answer: C
Question: The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations E of soloists can appear in the liner notes?
Choices:
10!/(5!5!)
10!/5!
10!
10!*5!
Answer: A
Question: The largest prime number is?
Choices:
13
5
7
9
Answer: A
Question: A collection of books went on sale, and 2/3 of them were sold for $3 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
Choices:
$216
$90
$60
$54
Answer: A
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Choices:
2/9
1/3
1/9
2/5
Answer: D
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
166
151
270
109
Answer: C
Question: One of the following numbers can be marked out as the odd one out. can you find which one?
1) 680986879
2) 716089780
3) 820670987
4) 932967879
Choices:
The odd number is 820670987
The odd number is 716089780
The odd number is 932967879
None
Answer: A
Question: At an M&M factory, two types of M&Ms are produced, red and blue. The M&Ms are transported
individually on a conveyor belt. Anna is watching the conveyor belt, and has determined that
four out of every five red M&Ms are followed by a blue one, while one out of every six blue
M&Ms is followed by a red one. What proportion of the M&Ms are red?
Choices:
2/29
3/29
4/29
5/29
Answer: D
Question: If 5x + 3 = 10x – 22, what is the value of x?
Choices:
2
3
4
5
Answer: D
Question: If each term in the sum R=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: B
Question: The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 32,000 locusts?
Choices:
4
6
8
9
Answer: B
Question: The price of a book is increased from $300 to $330. What is the % of increase in its price?
Choices:
10%
30%
35%
45%
Answer: A
Question: The 44 parents participating in the Smithville PTA have been assigned to at least 1 of 3 committees: festival planning, classroom aid, and teacher relations. 21 parents are assigned to the festival planning committee, 18 parents are assigned to the classroom aid committee, and 19 parents are assigned to the teacher relations committee. If 5 parents are assigned to all 3 committees, how many parents are assigned to exactly 2 committees?
Choices:
4
8
9
10
Answer: A
Question: A and B together can do a piece of work in 2 days. If A alone can do the same work in 22 days, then B alone can do the same work in?
Choices:
0.45 days
0.55 days
0.25 days
0.15 days
Answer: A
Question: A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30 meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.
Choices:
20 m * 7 m
20 m * 5 m
80 m * 5 m
20 m * 1 m
Answer: B
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
82
245
288
232
Answer: B
Question: A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 27,000, then what is B's share in the profit?
Choices:
Rs. 3000
Rs. 4000
Rs. 5000
None of these
Answer: C
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 A. 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:
20
30
35
45
Answer: D
Question: In 16 minutes, the minute hand gains over the hour hand by
Choices:
80°
88°
96°
None of these
Answer: B
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Choices:
18
19
12
15
Answer: A
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Choices:
12 days
15 days
20 days
25 days
Answer: B
Question: What is the greatest positive integer E such that 3^E is a factor of 9^10?
Choices:
E=9
E=10
E=20
30
Answer: C
Question: A parking garage rents parking spaces for $10 per week or $35 per month. How much does a person save in a year by renting by the month rather than by the week?
Choices:
$100
$220
$240
$260
Answer: A
Question: How many arrangements of the letters of the word CONTINUES can be made, without changing the place of the vowels in the word?
Choices:
140
150
120
110
Answer: C
Question: A train with 120 wagons crosses John who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the John ( he is riding on the horse) before it starts overtaking the Mike(who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in secs) after the train has crossed the Mike do the John meets to Mike?
Choices:
5435 s
7645 s
7456 s
3576 s
Answer: D
Question: A train passes a station platform in 48 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:
420 m
440 m
407 m
402 m
Answer: A
Question: What was the day of the week on 17th June 1998?
Choices:
Sunday
Wednesday
Friday
Tuesday
Answer: B
Question: If p is an odd integer and q is an even integer, which of the following must be an even integer?
Choices:
3p+q
2p+3q
4(p+q)
p+q^2
Answer: C
Question: Which of the following cannot be the sum of 2 different prime numbers?
Choices:
13
14
15
19
Answer: B
Question: A man buys $50 shares in a company which pays 10% dividend. If the man gerts 12.5% on his investment, at what price did he buy the shares?
Choices:
40
50
48
52
Answer: A
Question: All of the stocks on the over-the-counter market are designated by either a 6-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
b. 26(26^4)
c. 27(26^4)
d. 26(26^5)
e. 27(26^6)
Answer: D
Question: There are 418 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
Choices:
209
242
171
181
Answer: B
Question: Two-third of two-fifth of three-fourth of a number is 36. What is the square root of four-fifth of that number?
Choices:
12
14
16
20
Answer: A
Question: A grocer has a sale of Rs. 5921, Rs. 5468, Rs. 5568, Rs. 6088 and Rs. 6433 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5900?
Choices:
4922
5922
5924
5928
Answer: B
Question: Four packages have an average weight of 14.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 12 pounds?
Choices:
24
23
22
21
Answer: A
Question: The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?
Choices:
Rs. 8, Rs. 12
Rs. 16, Rs. 10
Rs. 12, Rs. 14
NOne
Answer: B
Question: If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-4) ∆ (4 ∆ −4) ?
Choices:
4
6
8
10
Answer: A
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
18/39
18/31
18/32
Answer: A
Question: In a sample of Christ college students, 30 percent are third year students and 90 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?
Choices:
2/3
4/7
1/2
1/7
Answer: D
Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
Choices:
5 p.m.
6 p.m.
7 p.m.
None of these
Answer: B
Question: An article costing rs.160 is sold at 15% discount on a mark-up price. What is the selling price after
discount?
Choices:
116
126
136
146
Answer: C
Question: For dinner at a restaurant, there are x + 1 choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Choices:
xyz + xz
xyz+xz+yz+z
xyz + 1
xyz + 1/2
Answer: B
Question: In a race of length L metres, Johnson beats Lewis by X metres and Greene by Y metres, By how many metres does Lewis beat Greene in the same race ? (X<Y)
Choices:
L(Y-X) / L-X
L-Y
X-Y
X+Y
Answer: A
Question: A green grocer received a boxful of tomatoes and on opening the box found that several had gone bad. He then counted them up so that he could make a formal complaint and found that 68 were mouldy, which was 16 per cent of the total contents of the box. How many tomatoes were in the box?
Choices:
425
275
235
689
Answer: A
Question: Find the perimeter and area of the rectangle of length 15 cm and breadth 13 cm.
Choices:
121 cm2
141 cm2
195 cm2
221 cm2
Answer: C
Question: 6 points are marked on a straight line and another 7 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:
281
168
196
364
Answer: A
Question: A Contractor employed a certain number of workers to finish constructing a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the road on the scheduled time. How much work he had been completed, before increasing the number of workers?
Choices:
14 2/7 %
14 2/3 %
14 2/5 %
54 2/7 %
Answer: A
Question: A train running at the speed of 120 km/hr crosses a pole in 18 seconds. What is the length of the train?
Choices:
570
580
590
600
Answer: D
Question: In an examination, 25% of total students failed in Hindi, 40% failed in English and 35% in both. The percentage of these who passed in both the subjects is :
Choices:
20%
30%
40%
50%
Answer: B
Question: A set of 11 positive integers has an average of 20. Which of the following is the greatest possible value for the median of this set?
Choices:
30
35
45
46
Answer: B
Question: here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
4512
1800
1203
4512
Answer: B
Question: How many E ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Choices:
240
360
540
720
Answer: A
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choices:
Rs.6620
2768
2999
2771
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
40 kmph
16 kmph
15 kmph
18 kmph kmph
Answer: A
Question: Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
Choices:
16 days
18 days
19 days
12 days
Answer: A
Question: In a certain shop , 70 percent of customers buy mobiles made by company (A) and the rest buy mobiles made by company (B) . A new mobile is made by company (A) . If 90 percent of customers who prefer company (A) and 50 percent of customers who prefer company (B) are expected to buy the new mobile , whats percent of customers are expected to buy the new mobile ?
Choices:
78
80
82
86
Answer: A
Question: A customer pays 30 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffee maker?
Choices:
40
70
60
50
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 750 grams per kg, what is his percent?
Choices:
33
77
88
11
Answer: A
Question: In a single throw of a die, what is the probability of getting a number greater than 4?
Choices:
1/3
2/3
1/4
1/5
Answer: A
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.21000. A's share is?
Choices:
s.7000
s.6000
s.5750
s.6750
Answer: A
Question: Three numbers are such that the second is as much
lesser than the third as the first is lesser than
the second. If the product of the two smaller numbers
is 85 and the product of two larger numbers is 115.
Find the middle number?
Choices:
10
14
16
18
Answer: A
Question: 65% of x = 20% of 617.50. Find the value of x?
Choices:
190
150
180
199
Answer: A
Question: How many subset of the Fruit set of Banana, Apple, Orange, Grape and Lemon does not contain Apple?
Choices:
16
15
14
18
Answer: A
Question: An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62
sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is
Choices:
10:30 am
10:31 am
10:37 am
None of above
Answer: B
Question: Simplify: 9948/49 * 245.
Choices:
24495
22225
22115
None of them
Answer: A
Question: The sides of a rectangular region measured to the nearest centimeter are 8 cm and 4 cm. Out of the following which is the largest possible value of actual area of rectangle ?
Choices:
35.25
52.29
44
41.25
Answer: A
Question: The sum of two numbers is 36. Four times one number is equal to 5 times the other. The bigger of the two numbers is
Choices:
20
14
15
60
Answer: A
Question: The letters of the word LUCKNOW are arranged among themselves. Find the probability of always having NOW in the word.
Choices:
1/32
1/41
1/42
None of these
Answer: C
Question: The average of ages of 10 persons in a club was 32. What should be the age of the new person joining in the club so as to increase the average by 4 ?
Choices:
76
299
277
221
Answer: A
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1 o’clock in the afternoon?
Choices:
150°
180°
320°
None of these
Answer: A
Question: In a kilometer race, A beats B by 40 meters or 8 seconds. What time does A take to complete the race?
Choices:
190
192
191
121
Answer: B
Question: A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 40 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?
Choices:
−2%
15%
20%
80%
Answer: A
Question: A lady grows cabbage in her garden that is in the shape of a square. Each cabbage takes 1 square foot of area in her garden. This year, she has increased her output by 211 cabbages when compared to last year. The shape of the area used for growing the cabbage has remained a square in both these years. How many cabbages did she produce this year?
Choices:
11236
14400
12696
Cannot be determined
Answer: A
Question: In a college there are 35 students. What is the smallest number of books that must be brought so that each student receives the same number of books?
Choices:
17
300
250
140
Answer: D
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 96, what is the value of K?
Choices:
15 3/4
22
35
25 3/10
Answer: C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:
Choices:
5330
5336
5348
5352
Answer: B
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
18:11
18:12
18:16
18:13
Answer: A
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is?
Choices:
4/17
4/12
4/13
4/11
Answer: C
Question: In a fuel station the service costs $2.05 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 70 liters and a truck's tank is 120% bigger and they are all empty-?
Choices:
321.05$
343.7$
398.85$
412.12$
Answer: A
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
30/141
36/115
3/145
Answer: A
Question: The simple interest on Rs.15000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
Choices:
3015.24
3052.24
3018.24
3052.23
Answer: C
Question: Steve traveled the first 2 hours of his journey at 50 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Choices:
68 mph
60 mph
64 mph
66.67 mph
Answer: A
Question: If the average marks of 3classes of 55, 60 and 45 students respectively is 50, 55, 60, then find the average marksof all the students is
Choices:
53.5
54.68
55.6
67.2
Answer: B
Question: If a sum on compound interest becomes three times in 4 years, then with the same interest rate, the sum will become 81 times in
Choices:
18 years
16 years
14 years
15 years
Answer: B
Question: how many distinct 3 digit number less than 10
Choices:
9
10
11
12
Answer: B
Question: 189. The inside dimensions of a rectangular wooden box
are 10 inches by 12 inches by 14 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Choices:
4
5
6
8
Answer: C
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8463 for a computer table, then what was the cost price of the computer table?
Choices:
6825
6728
6725
2871
Answer: A
Question: A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 9 more than the correct answer. Find the number.
Choices:
18
20
22
24
Answer: B
Question: if 5+6+4=010530
and 2+4+8=021040
and 3+5+9=021155
and 4+6+7=020954....
then 2+7+5=??????
Choices:
051070
051074
151070
071070
Answer: A
Question: A coin is tossed four times. What is the probability that there is at the least one tail?
Choices:
15/16
15/67
15/17
15/31
Answer: A
Question: Carrie, Liz and Michael are playing cards. Together they have all won $400 total. Carrie and Liz have won $150 total. Michael and Liz have won $300 total. How much money as Carrie won?
Choices:
250
350
100
150
Answer: C
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Choices:
16
18
25
24
Answer: A
Question: In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount N in 1996 as they paid in 1995?
Choices:
33 1⁄3%
50%
66 2⁄3%
100%
Answer: A
Question: A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Choices:
2
4
5
None of these
Answer: A
Question: The ratio of the adjacent angles of a parallelogram is 4 : 11. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Choices:
132°
156°
224°
None of these
Answer: A
Question: How many seconds will a 400 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
24 sec
77 sec
14 sec
12
Answer: A
Question: Let C be defined as the sum of all prime numbers between 0 and 35. What is C/3
Choices:
129
64.3
47
43
Answer: B
Question: A family pays $800 per year for an insurance plan that pays 85 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Choices:
$1,100
$1,400
$1,800
$2,200
Answer: A
Question: A train 280 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
89 Kmph
72 Kmph
50 Kmph
18 Kmph
Answer: C
Question: The probability of rain showers in Barcelona on any given day is 0.5. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Choices:
0.072
0.375
0.72
0.288
Answer: B
Question: Ram has 490 chocolates. 70 members work in his office. He would like to give each person the same amount of chocolates, how much should he give to each person?
Choices:
7
9
15
6
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
2 1/4
2 1/2
2 1/6
2 1/7
Answer: A
Question: If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 2, 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:
1/3
1/5
1/6
1/7
Answer: A
Question: If z≠y and z·y≠0, which of the following may be true?
Choices:
(z+y)(z-y)=0
z.y=0
z^2=y^2
z^2+y^2=0
Answer: A
Question: Akshay buys a motorcycle for Rs.25000. If he decides to sell the motorcycle for a profit of 7%, find the selling price.
Choices:
26750
26757
26756
26753
Answer: A
Question: If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours
day, how much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?
Choices:
24 metric tonnes
25 metric tonnes
26 metric tonnes
27 metric tonnes
Answer: C
Question: There are two pipes A and B.If A filled 10 liters in hour B can fills 20 liters in same time.likewise B can fill 10,20,40,80,160.... if B filled in (1/16)th of a tank in 3 hours.how much time will it take to fill completely?
Choices:
7 hours
5 hours
8 hours
9 hours
Answer: A
Question: A runs 5/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Choices:
200 m
270 m
160 m
360 m
Answer: A
Question: A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
Choices:
12
73
72
8
Answer: A
Question: g, b, c, and d are positive integers. If the remainder is 9 when g is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?
Choices:
19
18
16
15
Answer: D
Question: A and B are two partially filled buckets of water. If 3 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 5 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
39/5
21
23
Answer: B
Question: It takes printer A 4 more minutes than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take printer A to print 80 pages?
Choices:
18
20
24
30
Answer: C
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 136 m length?
Choices:
12.3 sec
19.1 sec.
17.1 sec.
42.1 sec.
Answer: A
Question: The T train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the T train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distance between stations A and C in terms of m?
Choices:
6m
7m
9m
12m
Answer: A
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
17 days
147 days
9 days
1478 days
Answer: C
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many art books were there at the starting?
Choices:
1200
1500
1600
2000
Answer: D
Question: The ratio of boys to girls is 6:4.60% of the boys and 40% of girls take lunch in the canteen.What % of class takes lunch?
Choices:
52%
53%
54%
55%
Answer: A
Question: What is the smallest possible common multiple of three integers, all larger than 24?
Choices:
54.
25
19,656.
21,924.
Answer: B
Question: An athlete runs 200 meters race in 48sec. His speed is?
Choices:
15km/hr
30km/hr
25km/hr
40km/hr
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Choices:
778 m
200 m
276 m
971 m
Answer: B
Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
56
51
52
59
Answer: A
Question: In how many different number of ways 6 men and 3 women can sit on a shopa which can accommodate persons?
Choices:
230
504
250
260
Answer: B
Question: A train passes a man standing on the platform. If the train is 210 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
10 ½ sec
9 ½ sec
8 ½ sec
2 ½ sec
Answer: A
Question: A cricketer scored 134 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets.
Choices:
55.22%
63%
70%
None of these
Answer: A
Question: Points A, B, and C lie, in that order, on a straight railroad track. The distance from point A to point B is twice the distance from point B to point C. A train traveled from point A to point C without stopping. The train's average speed when traveling from point A to point B was 200 miles per hour and the train's average speed when traveling from point B to point C was 150 miles per hour. What was the train's average speed, in miles per hour, when traveling from point A to point C?
Choices:
200
180
190
250
Answer: B
Question: 72,90, 80,85,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
Choices:
1
3
4
5
Answer: A
Question: In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:
Choices:
80 sec
76 sec
49 sec
50 sec
Answer: A
Question: 1+2+2^2+2^3+2^4+2^5+2^6=？
Choices:
2^6+1
2^7-1
2^5+1
2^5-2
Answer: B
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is?
Choices:
70
80
90
100
Answer: D
Question: Mr. Babu ison tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days. he must cut down his daily expenses by Rs. 3.For how many days is Mr. babu on tour?
Choices:
20
40
90
20
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
168 m
197 m
691 m
Answer: A
Question: Jonah drove the first half of a 200-mile trip in x hours and the second half in y hours. Which of the following is equal to Jonah’s average speed, in miles per hour, for the entire trip?
Choices:
200/(x + y)
25/x + 25/y
50/x + 50/y
100/x + 100/y
Answer: A
Question: If the length & width of a rectangle is decreased by 50% & then again increase the new length & width by 40%. Calculate the percentage difference between the area of New Rectangle & Original Rectangle.
Choices:
51%
52%
53%
54%
Answer: A
Question: 40% of a number is more than 20% of 650 by 190. Find the number?
Choices:
278
800
267
121
Answer: B
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $360 per week. How much does she earn in dollars per hour?
Choices:
8
9
10
2
Answer: C
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
Choices:
4000
6000
7000
None of these
Answer: A
Question: A shipment of 8 television sets contains 2 black-and-white sets and 5 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
Choices:
1/4
9/14
11/28
13/28
Answer: B
Question: Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Choices:
8
7
5
3
Answer: C
Question: In a two digit number, the digit in the units place is six times the digit in ten's place and sum of the digits is equal to 7. What is the number?
Choices:
16
32
36
38
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 10 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
Choices:
30 km
40 km
50 km
60 km
Answer: C
Question: On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
Choices:
1 : 5
2 : 1
3 : 1
4 : 5
Answer: B
Question: If each edge of cube increased by 10%, the percentage increase in
Choices:
21
25
19
15
Answer: A
Question: 12, 14, x, 10
The median of the list of positive integers above is 11. Which of the following could be the average (arithmetic mean) of the list?
Choices:
5.5
11
7
7.5
Answer: B
Question: Two cars are 15 kms apart. One is turning at a speed of 50kmph and the other at 40kmph . How much time will it take for the two cars to meet?
Choices:
10min
14min
15min
16min
Answer: A
Question: When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following W is a possible value for x + y?
I. 18
II. 19
III. 20
Choices:
II only
W=III only
II and III only
None
Answer: B
Question: If A : B : C = 2 : 3 : 4, then A⁄B : B⁄C : C⁄A is equal to :
Choices:
8 : 9 : 12
8 : 9 : 16
8 : 9 : 24
None of these
Answer: C
Question: Rob has 8 toy trucks. He gives 3 trucks to his best friend as a gift. How many trucks does Rob have left?
Choices:
5
2
5
8
Answer: A
Question: A car during its journey travels 30 minutes at a speed of 30 kmph, another 30 minutes at a speed of 60 kmph, and 1 hours at a speed of 80 kmph.The average speed of the car is
Choices:
64 kmph
62.5 kmph
64.02 kmph
None of these
Answer: B
Question: The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?
I.	The base of the triangle is 40 cm.
II.	The height of the triangle is 50 cm.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: C
Question: Chirag was conducting an experiment in which the average of 11 observation came to be 90. Average of first five observation was 87, and that of the last five was 84. What was the measure of the 6th observation?
Choices:
125
145
135
None of these
Answer: C
Question: During the break of a football match, the coach will make 3 substitutions. If the team consists of 16 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
Choices:
18/44
3/20
28/44
36/55
Answer: B
Question: In a primary school, the ratio of the number of girls to boys is 5 : 8. If there are 160 girls, the total number of students in the college is:
Choices:
250
260
300
350
Answer: C
Question: A box contains seven bulbs out of which 5 are defective. If five bulbs are chosen at random, find the probability that all the five bulbs are defective?
Choices:
1/21
1/19
1/13
1/16
Answer: A
Question: A dealership needs to fill the empty lot with cars. If separated into to 5 rows, 6 rows, or 7 rows, no cars will be left over. What is the least number of cars needed?
Choices:
98
265
33
210
Answer: D
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 1 : 2. If X invested Rs.20,000. the amount invested by Y is
Choices:
Rs.40,000
Rs.60,000
Rs.80,000
None
Answer: A
Question: A reduction of 20% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
s.46
s.40
s.41
s.32
Answer: D
Question: If c + xy = c and x is not equal to 0, which of the following must be true?
Choices:
x+y=0
y=0
x<0
x=c
Answer: B
Question: There are 8 people and 3 tables. In how many ways people can occupy the tables?
Choices:
336
560
740
800
Answer: A
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:4, and the ratio of soap to salt is five times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?
Choices:
9:32
32:9
19:32
18:30
Answer: A
Question: Convert the 13/54 m/s into kilometers per hour?
Choices:
1.5
0.86
1.1
1.2
Answer: B
Question: What is the next number of the following sequence
8, 24, 12, 36, 18, 54, (....)
Choices:
27
68
72
62
Answer: A
Question: The H.C.F. and L.C.M. of two numbers are 13 and 5040 respectively If one of the numbers is 144, find the other number
Choices:
256
120
455
None of these
Answer: C
Question: On a certain transatlantic crossing, 30 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?
Choices:
75%
50%
60%
66 2/3%
Answer: A
Question: In how many different number of ways 3 boys and 4 girls can sit on a bench such that girls always sit together.
Choices:
B)576
C)740
D)780
E)790
Answer: A
Question: Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 8 and 22.?
Choices:
88
64
72
80
Answer: A
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 5,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
3.75%
6.25%
6.67%
11.11%
Answer: D
Question: When average age of 22 members are 0, how many members greater than 0?
Choices:
21
22
24
25
Answer: A
Question: A team has to design a flag. The team has five yellow strips of cloth and six green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
Choices:
144
256
462
600
Answer: C
Question: If the number 52,1n8, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
Choices:
5
3
1
0
Answer: A
Question: If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 65, what is the common ratio of the G.P?
Choices:
4
2
9
1/9
Answer: A
Question: Three people have $36, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
Choices:
$103
$98
$101
$202
Answer: A
Question: All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes have only one face coloured ?
Choices:
8
16
24
2
Answer: C
Question: If Juan takes 16 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
16x/y
x/(16y)
16/(xy)
xy/16
Answer: A
Question: Find the odd man out 2, 3, 6, 15, 52.5, 157.5, 630
Choices:
157.5
15
3
52.5
Answer: D
Question: A man walks at a speed of 5 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
1 4/5 hours
2 1/6 hours
2 1/3 hours
2 1/2 hours
Answer: A
Question: A straight line in the xy- plane has y-intercept of 49 . On this line the x-coordinate of the point is 71 and y-coordinate is 12 then what is the slope of the line?
Choices:
0.51
-0.52
0.31
-0.49
Answer: B
Question: Bob and Sue are building a brick wall. They can each lay fifty bricks per hour. If Bob takes a one hour break after every two hours of working, and Sue takes a one-hour break after every three hours of working, how long will it take them to finish the wall if they need to lay 600 bricks to finish the wall?
Choices:
7 hours
8 hours
9 hours
10 hours
Answer: B
Question: If the side length of Square B is sqrt(5) times that of Square A, the area of Square B is how many times the area of Square A?
Choices:
2
3
4
5
Answer: D
Question: If a clock strikes 12 in 33 seconds, it will strike 6 in how many seconds?
Choices:
15
12
22
None of these
Answer: A
Question: What is the average (arithmetic mean) of the numbers 5, 6, 7, 7, 8, and 9?
Choices:
6.5
6
7
8
Answer: C
Question: (1/2) of a number is 3 more than the (1/6) of the same number?
Choices:
7
8
9
10
Answer: C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
480
289
270
927
Answer: A
Question: A part of certain sum of money is invested at 9% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:8
5:3
4:0
4:9
Answer: B
Question: A can run 4 times as fast as B and gives B a start of 60 m. How long should the race course be so that A and B might reach in the same time?
Choices:
60 m
80 m
65 m
75 m
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 250 resolutions?
Choices:
352 m
454 m
186 m
176 m
Answer: A
Question: If x is the median of the set {9/2, 10/3, 27/9, 21/5, x}, x could be
Choices:
17/5
28/7
30/7
31/7
Answer: B
Question: 12, 38, 116, 350, 1052, ?
Choices:
3815
3518
3158
1538
Answer: C
Question: A, B and C enter into a partnership. They invest Rs.40,000, Rs.80,000 and Rs.1,20,000 respectively. At the end of the first year, B withdraws Rs.40,000 while at the end of the second year, C withdraws Rs.80,000. In what ratio will the profit be shared at the end of 3 years?
Choices:
3 : 4 : 7
4 : 5 : 9
None of these
Cannot be determined
Answer: A
Question: Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and B is closed after 3 minutes, how much further time would it take for A to fill the bucket?
Choices:
5min. 30 sec.
6 min 36 sec.
6mins. 32 sec.
6 min. 15 sec.
Answer: B
Question: James took a 3-hour bike ride. In the second hour he traveled 6 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
Choices:
54.9
18.5
57.0
63.0
Answer: B
Question: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of 2y-y pounds. Which of the following represents Allen’s weight?
Choices:
2x - y/2
(y - x)/2
y - 2x
2x - y
Answer: B
Question: 24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V 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: D
Question: 895.7 – 573.07 – 95.007 = ?
Choices:
227.623
233.523
414.637
None of these
Answer: A
Question: Which is smallest prime number?
Choices:
97
103
95
163
Answer: A
Question: The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 6:4. As a result of the gift, Kaye had how many more stamps than Alberto?
Choices:
80
65
55
50
Answer: A
Question: What distance will be covered by a bus moving at 54 kmph in 30 seconds?
Choices:
450
601
609
604
Answer: A
Question: Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?
Choices:
Rs. 8620
Rs. 8820
Rs. 9820
None of these
Answer: B
Question: You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different E ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
Choices:
6
9
12
18
Answer: C
Question: A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
Choices:
17%
20%
65%
83%
Answer: B
Question: Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 3 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
III only
I and II
II and III
Answer: A
Question: When Tom works alone he chops 4lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 4 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?.
Choices:
125 %
25%
225%
400%
Answer: A
Question: $100 is divided amongst A,B and C so that A may get 1/4 as much as B and C together, B may get 3/5 as much as A and C together, then the share of A is
Choices:
$20
$25
$18
$30
Answer: A
Question: A train 150 meters long completely crosses a 240 meters long bridge in 42 seconds. What is the speed of the train is?
Choices:
33
88
66
09
Answer: A
Question: Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Choices:
1600 ÷ 40 + 16 × 2.5
5.5 × 8.4 + 34.6
1620 ÷ 20 – 1
1856.95 – 1680.65 – 96.3
Answer: B
Question: If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 3 times, what is the probability that it will land tails up on the first flip and not on the last 2 flips?
Choices:
1/8
1/3
1/2
3/4
Answer: A
Question: A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 5 a rupee. Find his net profit or loss percent?
Choices:
33 %
20 %
35 %
30 %
Answer: B
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Choices:
240 m
260 m
270 m
290 m
Answer: C
Question: fill in ht blank:
(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,
(b) to find the x-intercept of a line, we let ___ equal 0 and solve for ___; to find y- intercept , we let ____ equal 0 and solve for___
Choices:
(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for x ; to find y- intercept , we let y equal 0 and solve for y
(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y
(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for y ; to find y- intercept , we let y equal 0 and solve for x
none of the above
Answer: B
Question: Income and expenditure of a person are in the ratio 5:4. If the income of the person is Rs.18000, then find his savings?
Choices:
Rs.3600
Rs.3630
Rs.9600
Rs.2600
Answer: A
Question: The area of a triangle is with base 12m and height 5m?
Choices:
30 m2
66 m2
77 m2
31 m2
Answer: A
Question: The average score of a cricketer in 2 matches is 40 and in other 3 matches is 10. Then find the average score in all the 5 matches?
Choices:
22
30
35
42
Answer: A