antoine-444/aqua_rat_dataset huggingface dataset:
Question: A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 25 percent of the total votes?
Choices:
6.25%
15%
17.5%
20%
Answer: A
Question: The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
92 kmph
90 kmph
65 kmph
77 kmph
Answer: B
Question: A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
Choices:
4
6
7
8
Answer: A
Question: Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $128 and $140 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
Choices:
640
1080
1200
1440
Answer: A
Question: Find the average of all the numbers between 6 and 34 which are divisible by 6.
Choices:
20
24
30
21
Answer: D
Question: There are 6 more women than there are men on a local co-ed softball team. If there are a total of 24 players on the team, what is the ratio of men to women?
Choices:
9/15
4/16
6/10
4/10
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
Choices:
4 : 3
4 : 12
4 : 8
4 : 5
Answer: A
Question: The profits of QRS company rose 40% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
Choices:
32%
40%
68%
80%
Answer: C
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:
8/15
11/15
2/11
7/11
Answer: A
Question: The length of a room is 6.5 m and width is 2.75 m. What is the cost of paying the floor by slabs at the rate of Rs.600 per sq. metre.
Choices:
Rs.16725
Rs.30725
Rs.10725
Rs.20725
Answer: C
Question: . In digging a pond 22 m * 12 m * 5 m the volumes of the soil extracted will be?
Choices:
1320
1400
1560
3000
Answer: A
Question: A sum fetched a total simple interest of $4106.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Choices:
$2840
$6578
$7782
$8927
Answer: D
Question: In a group of 25 factory workers, 14 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes.
Choices:
9
8
7
6
Answer: D
Question: A circular mat with diameter 3.5 inches is placed on a square tabletop, each of whose sides is 6 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
1
3
4
5
Answer: A
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 6.5 km apart, if they walk in the same direction?
Choices:
13 hrs
15 hrs
17 hrs
None
Answer: A
Question: If the cost price of 18 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
Choices:
12.5% profit
33.33 % loss
30.33% loss
None of these
Answer: A
Question: In a 400 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
Choices:
83
82
84
86
Answer: B
Question: On 6th July, 2017 Thursday falls. What day of the week was it on 6th July, 2016?
Choices:
Sunday
Monday
Tuesday
Wednesday
Answer: D
Question: Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 800 pounds of the seed mixture?
Choices:
12
20
24
120
Answer: B
Question: An error 6% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Choices:
14.14%
12.36%
12.26%
15.5%
Answer: C
Question: At 15:15 pm railway time, what will be the angle between minute and hour hand?
Choices:
360
377
277
291
Answer: A
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 5% and the mobile phone at a profit of 10%. Overall how much he make a profit.
Choices:
s. 120
s. 200
s. 50
s. 290
Answer: C
Question: Out of first 45 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
7/45
17/9
7/9
17/27
Answer: C
Question: Two of his favorite buildings are Chicago’s Sears (Willis) Tower and
Dubai’s Burj Khalifa. If Burj Khalifa stands at 830 meters high and
Sears stands at 527 meters high, how much higher is Burj Khalifa than Sears?
Choices:
250
130
303
111
Answer: C
Question: present ages of Ram and Rahim are in the ratio of 4:3 respectively. Four years ago, the ratio of their ages was 16:11 respectively . what Ram's present age in years?
Choices:
24
40
20
35
Answer: C
Question: In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5 feet 6 nches. Find the % correction made by the candidate from his stated height to his actual height?
Choices:
20
18
16.5
25
Answer: C
Question: There are 6 people and 3chairs. In how many ways people can occupy the chairs?
Choices:
120
240
60
100
Answer: A
Question: A man's speed with the current is 16 km/hr and the speed of the current is 3.2 km/hr. The man's speed against the current is
Choices:
9.6
11
12
13
Answer: A
Question: A certain series is defined by the following recursive rule: Se=K(Se-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
Choices:
ROOT 3
64*ROOT 3
64*3^1/3
64*3^24
Answer: C
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs.250
Rs.290
Rs.300
Rs.380
Answer: A
Question: The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 676 feet squared, what is the difference between the length and the width of the roof?
Choices:
39.
42.
44.
46.
Answer: A
Question: In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 3:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
Choices:
$600
$675
$450
$225
Answer: A
Question: A company has 65 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Nine employees have done just two courses and only one made ​​the three courses. How many employees have no training?
Choices:
B)9
C)10
D)11
E)25
Answer: D
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
44%
84%
24%
45%
Answer: A
Question: It takes Avery 2 hours to build a brick wall while Tom can do it in 4 hour. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Choices:
20
50
60
30
Answer: C
Question: A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds?
Choices:
8
12
9
none of the above
Answer: A
Question: A football team lost 5 yards and then gained 9. What is the team's progress?
Choices:
4
5
6
7
Answer: A
Question: A town in California fines residents who do not pay their property taxes on time. All residents must pay their taxes before July 1st for that calendar year or face the following fine structure: For the first month the taxes are overdue (that would be any payment made on July 1st through July 31st), the total fine is 1% of the original tax bill; for each additional month that the taxes are overdue, the total fine is increased by $600 or doubled, whichever results in the lesser amount. What is the total fine for a resident of that town who originally owed $40,000 in property taxes, but did not pay until October 15th?
Choices:
$1,800
$2,400
$3,200
$22,800
Answer: C
Question: The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 19. Find the sum :
Choices:
7600
5000
6000
None of these
Answer: A
Question: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 160 six-ounce servings of orange juice?
Choices:
20
28
32
36
Answer: A
Question: Given A+B+C+D+E= FG. If FG is Maximum as possible and A,B,C,D,E,F,G all are distinct digits
(0-9) then what is the value of G.
Choices:
2
3
4
5
Answer: A
Question: If p and q are prime numbers, how many divisors does the product p^3*q^6 have?
Choices:
12
18
28
363
Answer: C
Question: If a mixture is 3⁄5 alcohol by volume and 4⁄5 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
Choices:
3/2
3/4
3
3/5
Answer: B
Question: At what rate percent of simple interest will a sum of money double itself in 66 years?
Choices:
4.54 %
1.51 %
1.94 %
5.54 %
Answer: B
Question: If |2x| = 50, what is the sumof all the possible values of x?
Choices:
20
25
-25
0
Answer: D
Question: By selling 50 mangoes, a shopkeeper gains the price of 10 mangoes. His gain per cent is
Choices:
25%
20%
23%
30%
Answer: A
Question: How many three-digit numbers are there such that all three digits are different and the first digit is not zero?
Choices:
648
720
729
810
Answer: A
Question: A car is traveling at uniform speed. The driver sees a milestone showing a two digit number which is a perfect square, after traveling for an hour the driver sees another milestone with the same digits in reverse order and after another hour the driver sees another milestone containing the same two digits as part of a three digit number. What is the speed of the car?
Choices:
40 kmph
50 kmph
60 kmph
45 kmph
Answer: D
Question: If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. c is even
II. ab > 4
III. ab is even
Choices:
III only
I and II
I and III
I, II, and III
Answer: A
Question: 4^b + 4^b + 4^b + 4^b =
Choices:
4^(b + 1)
7^(7b)
8^b
49^B
Answer: A
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 10 hours. During that time, the faster car traveled 2/3 of the distance XY. How long would it take the slower car to travel the distance XY?
Choices:
8 hours
30 hours
12 hours
15 hours
Answer: B
Question: A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 5 and 7 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?
Choices:
Per month, with savings of $(4a - 4b)
The two options would cost an equal amount.
Per project, with savings of $(4a + 4b)
Per project, with savings of $(4a - 4b)
Answer: A
Question: 15 - 2 + 4 ÷ 1/2 × 8 = ?
Choices:
77
168
56
59
Answer: A
Question: What is the least value of x. So that 21x57 is divisible by 3.
Choices:
0
1
3
4
Answer: A
Question: Pipe A can fill a tank in 20 Mins and pipe B can fill it in 30 Mins. If both the pipes are opened in the empty tank. In how many Mins will it be fill exact half of the tank?
Choices:
5 mins
6 mins
7 mins
8 mins
Answer: B
Question: The area of playground is 5800 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
Choices:
b) $150.50
c) $162
d) $158.60
e) $160.70
Answer: B
Question: A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $75000 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?
Choices:
6
9
10
15
Answer: C
Question: A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?
Choices:
60km/hr
50km/hr
45km/hr
62km/hr
Answer: A
Question: Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
Choices:
3.3
3.5
3.6
None
Answer: C
Question: A tempo is insured to an extent of 4/5 of its original value. If the premium on it at the rate of 1.3% amounts to $910, The original value of the tempo is?
Choices:
75230
65990
45280
87500
Answer: D
Question: If -3x < 0, which of the following must be true?
Choices:
x < -2
x > 3
x > -2
x > 0
Answer: D
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89
29
20
22
Answer: A
Question: #p is defined as 2p+20 for any number p. What is p, if #(#(#p))=-4?
Choices:
–44
10
-18
18
Answer: C
Question: When x - p is divided by p - 2, the quotient is n and there is no remainder. Which of the following must be the value of x?
Choices:
n(p − 1)
p(n + 1) + 2n
p(n - 1) + n
n(p + 1) (p − 1)
Answer: B
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1455
1577
1635
Answer: D
Question: A group of people participate in some curriculum, 25 of them practice Yoga, 15 study cooking, 8 study weaving, 2 of them study cooking only, 7 of them study both the cooking and yoga, 3 of them participate all curriculums. How many people study both cooking and weaving?
Choices:
2
3
4
5
Answer: B
Question: A walks at 30 kmph and 30 hours after his start, B cycles after him at 50 kmph. How far from the start does B catch up with A?
Choices:
1500km
2000km
2250km
3600km
Answer: C
Question: A man cycled 25 kilometer in 1 hour 40 minutes. what was the average speed of cylcle in kilometer per hour?
Choices:
9 miles / hour
10 miles / hour
13 miles / hour
15 miles / hour
Answer: D
Question: Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
Choices:
25
12
20
30
Answer: B
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
Choices:
36
65
75
35
Answer: A
Question: A man swims downstream 18 km and upstream 12 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
5
6
4
8
Answer: A
Question: Find the number such that when 15 is subtracted from 7 times the number,the result is 10 more than twice the number?
Choices:
3
5
2
6
Answer: B
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/21
5/26
3/25
3/28
Answer: B
Question: A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 80 km/h. At what time will the second train catch the first train?
Choices:
1:00
1:30
2:00
2:30
Answer: A
Question: A 250 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
Choices:
108
1266
75
211
Answer: C
Question: While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 15° east of north, in what direction was it originally flying?
Choices:
(b) 30° east of north
(c) 10° west of north
(d) 10° east of north
(e) 5° west of north
Answer: B
Question: A can do a piece of work in 30 days while B can do it in 40 days. In how many days will they finish it together?
Choices:
120/7
123/9
150/7
None
Answer: A
Question: Robert's salary was decreased by 70% and subsequently increased by 70%. how much percentage does he lose?
Choices:
20%
25%
30%
49%
Answer: D
Question: Tough and Tricky questions: Remainders.
1^1 + 2^2 + 3^3 + ... + 6^6 is divided by 5. What is the remainder?
Choices:
1
2
3
4
Answer: D
Question: A work can be finished in 30 days by 30 women. The same work can be finished in fifteen days by 15 men. The ratio between the capacity of a man and a woman is
Choices:
4:3
2:3
4:1
2:4
Answer: C
Question: Simplfy
b - [b -(a+b) - {b - (b - a+b)} + a]
Choices:
a
4a
0
1
Answer: A
Question: Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 5 hours?
Choices:
3.6.
4.2.
8.
6.4
Answer: C
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.91
2.77
2.11
Answer: A
Question: 9.7 , 9.7 , 9.9 , 9.9 , 10.0 , 10.1 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.25 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
Choices:
85%
80%
75%
70%
Answer: C
Question: Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 6% sugar. What percentage of the gallon is dye?
Choices:
6.5
7.5
4.8
24
Answer: C
Question: A library has an average of 630 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Choices:
305
280
285
None
Answer: A
Question: Of the 200 employees in a certain company, 30 percent will be relocated to City X and the remaining 70 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Choices:
120
140
152
165
Answer: B
Question: Water is poured into a tank so that the tank is being filled at the rate of 5 cubic feet per hour. If the empty rectangular tank is 10 feet long, 6 feet wide, and 5 feet deep, approximately how many hours does it take to fill the tank?
Choices:
45
50
55
60
Answer: D
Question: The length and breadth of a rectangle is increased by 3% and 6% respectively. What is the increase in the area?
Choices:
9.18
9.5
8.98
8.88
Answer: A
Question: One machine takes 3 minutes to check fault in 100 km fiber optic cable.Another machine does the same job in 3 seconds.What time will it take to do the same job when both machines are put to work?
Choices:
2.20 seconds
2.50 seconds
2.95 seconds
3.00 seconds
Answer: C
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
24 days
86 days
45 days
17 days
Answer: A
Question: A straight pipe 2 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
Choices:
1/4 and 1/3 only
1/6, 1/4, and 1/3
1/12, 1/6 and 1/4
1/12, 1/6, and 1/3
Answer: D
Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C?
Choices:
3 : 5 : 5
6 : 10 : 5
None of these
Cannot be determined
Answer: B
Question: How is 3% expressed as a decimal fraction?
Choices:
0.03
0.003
0.0003
3
Answer: A
Question: What should come in place of the question mark (?) in the following number series?
11 21 33 47 63 ?
Choices:
81
82
83
84
Answer: A
Question: If f(x)=4x−1 and g(x)=2x+4 for all integers, which of the following is a possible value of g(f(x))?
Choices:
-17
0
18
22
Answer: C
Question: A committee that includes 8 members is about to be divided into 2 subcommittees with 4 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member?
Choices:
43%
35%
31%
27%
Answer: A
Question: The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
Choices:
$40
$56
$63
$72
Answer: C
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of water ?
Choices:
Red
PINK
ORANCE
BLACK
Answer: A
Question: A candidate got 35% of the votes polled and he lost to his rival by 2430 votes. How many votes were cast?
Choices:
3388
8100
2888
2661
Answer: B
Question: Suppose there is a number 235 such that sum of first two digits is equal to the third digit. How many such 3 digits numbers are possible?
Choices:
43
44
45
46
Answer: C
Question: If all the sides of a right triangle increase in length by 20%, then by what percentage does the area of the triangle increase?
Choices:
44%
50%
64%
80%
Answer: A
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Choices:
31
66
78
76
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
55
72
88
12
Answer: B
Question: 26
a2
+2b
___
99
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?
Choices:
45
51
43
34
Answer: B
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:
16%
18%
22%
None of these
Answer: B
Question: At a conference table, 6 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these six employees?
Choices:
80
100
120
140
Answer: C
Question: In a certain town, the ratio of NY Yankees fans to NY Mets fans is 2:1, and the ratio of NY Mets fans to Boston Red Sox fans is 3:7. If there are 352 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?
Choices:
66
74
82
90
Answer: A
Question: Look at this series: 15, 15, 27, 27, ?, 39 What number should fill the blank?
Choices:
39
23
15
None
Answer: A
Question: Harriet, Isabella and Karen are business partners. Harriet invested Rs.13000. If her share of a profit of Rs.3000 is Rs.1100 and Karen's share is Rs.1000, what is Isabella's capital?
Choices:
8666.67
896.67
8566.67
8662.67
Answer: A
Question: Given the following equation 30% of 3485 + 20% of 6218 = ?, Find the approximate value should come in place of the question mark (?).
Choices:
2290
2260
2240
2220
Answer: A
Question: Meena bought a watch with 25% discount on the selling price. If the watch cost her Rs.1545. What is the original selling price of the watch?
Choices:
Rs.2040
Rs.2030
Rs.2060
None of these
Answer: C
Question: Rob also compared the Empire State Building and the Petronas
Towers. What is the height difference between the two if the Empire
State Building is 435m tall and the Petronas Towers is 458m tall?
Choices:
17
23
45
12
Answer: B
Question: What approximate value should come in place of the question mark (?) in the following equation ?
3⁄7 of 1596 + 3015 = ? – 2150
Choices:
48000
5830
58000
6300
Answer: B
Question: Due to reduction of 25/4% in the price of sugar , a man is able to buy 1kg more for Rs.120. Find the original and reduced rate of sugar.
Choices:
Rs.7.50 per kg
Rs.5 per kg
Rs.6.25 per kg
Rs.10 per kg
Answer: A
Question: Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
Choices:
100
247
288
261
Answer: A
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Choices:
50289
5000
17728
50189
Answer: B
Question: Solve x2 – 3x – 4 = 0.
Choices:
-1,4
2,3
2,-3
3,4
Answer: A
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 36, then find the smaller number?
Choices:
66
77
60
44
Answer: C
Question: The larger of two negative consecutive odd integers 5t and 5(t-1) is multiplied by 3 and then added to the smaller of the two original integers. Which of the following represents this operation?
Choices:
8t-2
-2
20t-5
-2-4t^2
Answer: C
Question: There are 1000 students in a school and among them 25 % of them attends chess class. 50% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
Choices:
10
125
50
20
Answer: B
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/4
5/2
5/6
5/1
Answer: C
Question: In how many different number of ways 3 boys and 4 girls can sit on a bench?
Choices:
5710
5040
8000
5820
Answer: B
Question: The mean of 50 observations was 40. It was found later that an observation 45 was wrongly taken as15 The corrected new mean is
Choices:
36.5
46.5
20.5
40.6
Answer: D
Question: A and B joined a partnership business. In which A invested rs. 10,000 for 6 months and B invested Rs. 6000 for 8 months. If they earn a profit of Rs. 3000. find A's share in the profit.
Choices:
rs 1500
rs 1000
rs 1667
rs 1567
Answer: C
Question: If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer b?
Choices:
2b-1
(2b-1)/(b^2- b)
2b-3
2b-5
Answer: B
Question: (10+0.0001)/(0.04+1)
The value of the expression above is closet to which of the following?
Choices:
0.001
0.1
1
10
Answer: D
Question: The squared value of the diagonal of a rectangle is (64 + B2) sq cm, where B is less than 8 cm. What is the breadth of that rectangle?
Choices:
6 cm
8 cm
Data inadequate
None of these
Answer: A
Question: What is the least common multiple of 5,40,36,50
Choices:
874
3692
1800
3214
Answer: C
Question: The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 50 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
Choices:
55
57
58
59
Answer: A
Question: A person walking at 4 Kmph reaches his office 6 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
4 1/7 Km
3 1/5 Km
3 1/7 Km
2 4/5 Km
Answer: D
Question: Jessica can text 95 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
Choices:
2.7
3
9
11.3
Answer: A
Question: What is the least number to be added to 661 to make it a perfect square?
Choices:
15
20
16
45
Answer: A
Question: A person travels from P to Q at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?
Choices:
25
48
50
62
Answer: B
Question: If a farmer sells 10 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 15 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
Choices:
24
48
35
60
Answer: C
Question: A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 25 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
Choices:
80
75
60
50
Answer: B
Question: Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that Jack and Sandy will make a basket but Jill will miss?
Choices:
3/8
3/28
5/28
1/56
Answer: D
Question: Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many E kilometers per hour did Tammy walk on the second day?
Choices:
3.5
4
4.5
6
Answer: B
Question: Running at the same constant rate, 16 identical machines can produce a total of 32 shirt per minute. At this rate, how many shirt could 8 such machines produce in 10 minutes?
Choices:
100
101
160
785
Answer: C
Question: A began business with 10000 and is joined afterwards by B with 20000. When did B join, if the profits at the end of the year are divided equally?
Choices:
9 months
6 months
7 months
None of these
Answer: B
Question: There are 40 doors marked with numbers 1 to 40. There are 40 individuals marked 1 to 40.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, 30, 35, and 40. If every individual in the group gets one turn, then how many doors are open at the end?
Choices:
4
5
6
7
Answer: C
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Choices:
20/63
20/45
20/29
20/20
Answer: A
Question: If q is a positive integer and q^2 is divisible by 12, then the largest positive integer that must divide q ^3 is
Choices:
2^6
3^3
6^3
12^2
Answer: C
Question: A farmer spent $34 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Choices:
$37.40
$39.20
$39.50
$40.60
Answer: A
Question: If 2^z is a factor of 23!, which of the following could be the value of z?
I. 22
II. 23
III. 24
Choices:
II only
I​ and II
I, II, and III
None
Answer: D
Question: A train passes a station platform in 36 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:
200 m
240 m
400 m
150 m
Answer: B
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1 kmph.
3 kmph.
4 kmph.
5 kmph.
Answer: A
Question: The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
Choices:
$23
$36
$44
$72
Answer: A
Question: From a vessel on the first day, 1/3rd of the liquid evaporates. On the second day 3/4th of the remaining liquid evaporates. what fraction of the volume is present at the end of the 2 day
Choices:
1/4
1/5
1/6
1/7
Answer: C
Question: Four barrels of water have an average capacity of 8 gallons. What is the maximum possible capacity of the smallest barrel W if the median is 10 gallons?
Choices:
2
3
4
5
Answer: A
Question: A sum of money at simple interest amounts to Rs. 800 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
Rs. 488.
Rs. 518.
Rs. 638.
Rs. 664.
Answer: C
Question: Of the 14 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?
Choices:
35
56
70
90
Answer: D
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 37150. What percentage of profit did he make?
Choices:
27
40
26
67
Answer: D
Question: If 1/a + 2/a + 3/a is an integer, which of the following must also be an integer?
Choices:
3/a
6/a
9/a
15/a
Answer: B
Question: A group of medical interns at Bohemus Medical School want to go on dates. There are 5 girls and 5 guys. Assuming girls go on dates with guys, how many possible ways can these 10 medical interns date each other?
Choices:
25
60
90
120
Answer: D
Question: Average of five numbers is 16. If one number is excluded the average becomes 15. The excluded number is
Choices:
20
55
65
67
Answer: A
Question: A straight one-mile stretch of highway is 40 feet wide. You ride your bike on a
path composed of semicircles as shown. If you ride at 5 miles per hour, how many hours will
it take you to cover the one-mile stretch?
Note: 1 mile = 5280 feet
Choices:
π/10 hours
π/5 hours
2π/5 hours
2π/3 hours
Answer: A
Question: Five medical experts, working together at the same constant rate, can write an anatomy textbook in 32 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 10 days?
Choices:
9
11
13
15
Answer: C
Question: Govind, Bipul and Shaik has won Rs. 6000, Rs. 4000 and Rs. 8000 respectively in a Jockpat. The next time, Bipul has won Rs. 3000. The difference between the additional winnings of Govind and Shaik is?
Choices:
1500
986
600
670
Answer: A
Question: In 2003 there are 28 days in February and 365 days in a year in 2004 there are 29 days in February and 366 days in the year. If the date march 11 2003 is Tuesday, then which one of the following would the date march 11 2004 would be?
Choices:
35
56
2
11
Answer: C
Question: The average (arithmetic mean) of 4 different integers is 74. If the largest integer is 90, what is the least possible value of the smallest integer?
Choices:
19
29
30
33
Answer: B
Question: Solve the equation for x : 2(x + 2y + 3) = -x + y
Choices:
2
3
-1
-2
Answer: D
Question: The Weirdo Holiday Resort follows a particular system of holidays for its employees. People are given holidays on the days where the first letter of the day of the week is the same as the first letter of their names. All employees work at the same rate.
Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together likely to have completed the job, had they started on the same day as Raja?
Choices:
March 14, 1996
March 22, 1996
Data Insufficient
None
Answer: B
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choices:
1900
1908
1905
1901
Answer: A
Question: In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 2, 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
3600
6000
Answer: D
Question: Calculate the HCF of 30, 108, 660
Choices:
6
4
3
2
Answer: A
Question: Two numbers are in the ratio 3 : 4. If the sum of numbers is 63, find the numbers.
Choices:
25,38
27,36
28,35
29,34
Answer: B
Question: The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 26th of September 1990?
Choices:
Tuesday
Wednesday
Thursday
Friday
Answer: B
Question: A train 330 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
18
5
54
1
Answer: A
Question: What is the area inscribed by the lines y =4, x = 2, y = 6-2x on an xy-coordinate plane?
Choices:
a) 1
c) 4
d) 6
e) 8
Answer: A
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Choices:
2510 m^2
2520 m^2
2600 m^2
2670 m^2
Answer: B
Question: Kiran started a business investing Rs. 20,000. After 4 months, Sanket joined with a capital of Rs. 12000. At the end of the year, they earn a profit of Rs. 14,000. Find what will be the share of Sanket in the profit?
Choices:
Rs. 4000
Rs. 4001
Rs. 4002
Rs. 4047
Answer: A
Question: Rajan and Rakesh started a business and invested Rs.20000 and Rs.25000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs.15000. At the end of the year there was a profit of Rs.4600. What is the share of Mukesh?
Choices:
2378
1200
2877
1812
Answer: B
Question: The ratio between the speeds of two trains is 7: 8. If the second train runs 440 kms in 4 hours, then the speed of the first train is:
Choices:
57.19 km/hr
68.13 km/hr
96.25 km/hr
86.25 km/hr
Answer: C
Question: A circular well with a diameter of 2 metres , is dug to a depth of 14 metres. What is the volume of the earth dug out?
Choices:
36 m3
40 m3
44 m3
None
Answer: C
Question: A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 4 hours. Working alone, the outlet pipe can empty out the tank in 4 hours. If it is desired that the tank should be filled, from empty, exactly 6 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?
Choices:
03:30 pm
01:30 pm
04:30 pm
05:30 pm
Answer: B
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/2
20/7
40/2
20/1
Answer: B
Question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Choices:
2 days
8 days
3 days
9 days
Answer: A
Question: A library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday?
Choices:
304
285
270
275
Answer: B
Question: A circle in the coordinate plane passes through points (-3, -2) and (-1, -4). What is the smallest possible area of that circle?
Choices:
26π
262√π
52π
4π
Answer: D
Question: IT COSTS RE 1.TO PHOTOGRAPHY A SHEET OF PAPER. HOWEVER, 2% DISCOUNT IS ALLOWED ON ALL PHOTOCOPIES DONE AFTER FIRST 100 SHEETS.HOW MUCH WILL IT COST TO COPY 5000 SHEETS OF PAPER?
Choices:
RS.3980
RS.4900
RS.4920
NONE OF THESE
Answer: C
Question: If Janice was 23 years old z years ago and Lisa will be 21 years old in p years, what was the average (arithmetic mean) of their ages 7 years ago?
Choices:
(z - p + 30)/4
(z - p + 20)/4
(z + p + 40)/2
(z - p + 30)/2
Answer: D
Question: Jackson has $313,196 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?
Choices:
$2
$3
$4
$5
Answer: D
Question: During a trip, joe traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 40 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
Choices:
(x+60)/4
(300-x)/5
600/(115-x)
12000/x+300
Answer: D
Question: An bus covers a certain distance at a speed of 200 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
Choices:
970 km/hr
996 km/hr
1021 km/hr
1000 km/hr
Answer: D
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 9.5km apart, if they walk in the same direction?
Choices:
16 hours
17 hours
18 hours
19 hours
Answer: D
Question: There are 13 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 13 points that contain the point A?
Choices:
66
182
210
455
Answer: A
Question: Find out the C.I on Rs.1000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
B)Rs.51.20
C)Rs.61.20
D)Rs.71.20
E)Rs.81.20
Answer: B
Question: A car takes 6 hours to cover a distance of 324 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
65 Kmph
36 Kmph
None
Answer: C
Question: A baseball card decreased in value 10% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
Choices:
19%
32%
36%
72%
Answer: A
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 46 years. What will be the age of the B ten years hence?
Choices:
92
28
96
26
Answer: A
Question: Solve the given two equations and find the inequality of X and Y.(a) x^2-7x+12=0 and (b) y^2+y-12=0
Choices:
X>=Y
If x < y
If x<=y
x=y or relationship cannot be established
Answer: A
Question: Sarah is driving to the airport. After driving at 25 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 50 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How many miles did she drive in all?
Choices:
100
210
245
280
Answer: A
Question: 12 men take 36 days to do a work while 12 women complete 3/4th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work?
Choices:
12 days
27 days
28 days
None of these
Answer: B
Question: The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250.The sum of the numbers is :
Choices:
50
60
90
40
Answer: B
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
Choices:
787
144
128
121
Answer: B
Question: x^2 + sx + 72 = 0 has two distinct integer roots; how many values are possible for s?
Choices:
6
8
12
24
Answer: C
Question: Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?
Choices:
33
14
16
18
Answer: B
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
7500
8500
1500
7503
Answer: A
Question: A word is defined as a sequence of five dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?
Choices:
16
24
32
40
Answer: C
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 450 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Choices:
2/1
8/5
5/8
5/3
Answer: A
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $230, what were her original savings?
Choices:
$800
$1000
$920
$1500
Answer: C
Question: Find the largest number of four digits which is exactly divisible by 27,18,16,15
Choices:
8610
8620
8630
8640
Answer: D
Question: A train passes a station platform in 33 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:
195 m
300 m
360 m
280 m
Answer: A
Question: A husband and wife can complete a certain task in 2 and 3 hours respectively. Their children, Rae and Herman, can complete the same task in 4 and 6 hours, respectively. What is the ratio of the couple's time working together to complete the task to the children's time working together to complete the task?
Choices:
b)1:2
c)12:23
d)5:18
e)10:3
Answer: A
Question: Murphy and Cooper are having the same amount of petrol in the petrol tanks of their respective cars. Murphy can drive for four hours with that amount whole Cooper can drive for five hours.
They both starts together and keep driving for a few hours. After some time, they find that the amount of petrol remaining in one car is four times that of the other car.
Using all these facts, can you find out how long they drove their cars?
Choices:
3 3/4 hours.
4 3/4 hours.
5 3/4 hours.
6 3/4 hours.
Answer: A
Question: If e is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
Choices:
n + 1
n^2 + 1
e + 2√e + 1
n^2 + 2n + 1
Answer: C
Question: What is the positive difference between the sum of the squares of the first 5 positive integers and the sum of the prime numbers between the first square and fourth square?
Choices:
12
13
14
15
Answer: C
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum X of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
4x
5x/3
3x/2
3x/5
Answer: A
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
Choices:
5
7
9
2
Answer: C
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
10 years
12 years
14 years
Answer: A
Question: A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 16 on Wednesday, what would be the value of D calculated on the following Saturday?
Choices:
2940
3360
3780
4150
Answer: B
Question: which of the following could be the greatest common factor of positive integers a and b?
I. 1
II. a
III. a-b
Choices:
I and II only
I and III only
II and III only
I, II and III
Answer: D
Question: At an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled?
Choices:
700
278
260
1711
Answer: A
Question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Choices:
150º
168º
180º
190º
Answer: C
Question: A cistern which could be filled in 4 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Choices:
99 hrs
55 hrs
20/3 hrs
11 hrs
Answer: C
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1:96
1:99
1:28
1:29
Answer: A
Question: The average mark obtained by 22 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Choices:
0
9
8
6
Answer: A
Question: If the product of the integers a, b, c and d is 770, and if 1 < a< b< c< d, what is the value of a+ d?
Choices:
13
16
18
21
Answer: A