antoine-444/aqua_rat_dataset huggingface dataset:
Question: Martha has 5 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
Choices:
9
10
18
20
Answer: C
Question: A retailer sold an appliance for $70. If the retailer's gross profit on the appliance was 25 percent of the retailer's cost for the appliance, how many dollars was the retailer's gross profit?
Choices:
$14
$20
$24
$25
Answer: A
Question: If $1000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Choices:
1000 (3+1.056)
1000 (1+3(0.056))
1000 (1+(0.056)^3)
1000 (1.056)^3
Answer: D
Question: What is the smallest integer a > 0 such that the inequality
1/n + 1
+
1/n + 2
+...+
1/2n + 1
< a - 2010-
1/3
is satisfied for all positive integers n?
Choices:
2012
2013
2014
2015
Answer: A
Question: What is the rate percent when the simple interest on Rs.1200 amount to Rs.160 in 4 Years?
Choices:
3.3%
9%
2%
4%
Answer: A
Question: Convert the following unit:
2.1 hectares in ares
Choices:
210 ares.
220 ares.
230 ares.
240 ares.
Answer: A
Question: In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number W and the smallest possible number of students that could have taken both geometry and biology?
Choices:
119
113
88
31
Answer: C
Question: In a bag there are a certain number of black balls and white balls. The probability of picking up exactly 1 white ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of black balls to white balls in the bag
Choices:
2:1
1:1
4:1
1:4
Answer: B
Question: A person crosses a 600m long street in 5minnutes. What is his speed in km per hour?
Choices:
7.2km/hr
9km/hr
2.5km/hr
3km/hr
Answer: A
Question: A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 440. What is the sum of the last 8 of the even integers?
Choices:
568
596
604
612
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?
Choices:
180 metres
324 metres
100 metres
180 metres
Answer: C
Question: What is the solution of the equations x - y = 0.5 and 1(x + y)-1 = 2 ?
Choices:
x = 0.5, y = 0
x = 2, y = 1.1
x = 1.2, y = 0.3
None
Answer: A
Question: In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 60 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
B)0.6
C)0.45
D)0.3
E)0.25
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
16
18
19
11
Answer: B
Question: Find the cost of fencing around a circular field of diameter 42 m at the rate of Rs.5 a meter?
Choices:
659.75
650.57
655.9
600.3
Answer: A
Question: An man deposited $10000 in his bank account with a compound interest rate of 20%. How many years it will take to get the amount increased by 50%?
Choices:
2
3
4
5
Answer: A
Question: Susan weighs 15 pounds more than Anna does, and together they weigh a total of 145 pounds. Which of the following represents Anna’s weight in pounds?
Choices:
65
63
64
61
Answer: A
Question: In expressing a length 81.479 km as nearly as possible with three significant digits, find the percentage error?
Choices:
0.156%
0.026%
0.048%
0.152%
Answer: B
Question: What is the Mode of the following data set S- {1,2,6,9,6,6,10}
Choices:
6
10
1
2
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 50 years now, the son's age five years back was:
Choices:
14 years
33 years
38 years
20 years
Answer: D
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 5 inches wide on each side, the total area would have been (M + 144) square inches. What is the perimeter of the photograph, in inches?
Choices:
12
14
16
18
Answer: A
Question: A family pays $800 per year for an insurance plan that pays 70 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:
$1,200
$1,400
$1,800
$2,200
Answer: B
Question: Can you find the missing number in the sequence below
14 -20 34 -54 ? -144
Choices:
99
77
66
88
Answer: D
Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 180. The dividend from the stock is :
Choices:
8 %
11.25 %
None of these
Cannot be determined
Answer: B
Question: Consider two statements
Statement 1 => If A is an integer and A=2p+1 where p is not an integer.
Statement 2 => If B is an integer and B=2q where q is not an integer
Which of the following correctly specifies the Even/Odd nature of A and B respectively
Choices:
2) Odd,Odd
3) Even,Odd
4) Even,Even
5) Cannot be determined
Answer: D
Question: A box contains 12 mangoes out of which 4 are spoilt. If four mangoes are chosen at random, find the probability that A number is selected at random from first thirty natural numbers. What is the chance that it is a multiple of either 3 or 13?
Choices:
2/5
11/30
4/15
7/15
Answer: A
Question: What is the sum of the different positive prime factors of 600?
Choices:
7
10
17
24
Answer: B
Question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 18 minutes, how much time will she spend doing yoga? (rounded to minutes)
Choices:
30 min.
17 min.
23 min.
25 min.
Answer: A
Question: One boy forgot the last digit of a 7 digit telephone no. If he randomly dialthe final 3 digits after correctly dialing the 1st four, then what is the chance of dialing the correct no.?
Choices:
2/455
1/1000
3/1000
4/1000
Answer: B
Question: A rectangular window is twice as long as it is wide. If its perimeter is 14 feet, then what are its dimensions in feet?
Choices:
7/3 by 14/3
2 by 4
3 by 6
10/3 by 20/3
Answer: A
Question: A certain sum amounts to Rs.1525 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Choices:
3.76%
5.26%
5.76%
4.76%
Answer: C
Question: The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards
B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do
they meet?
Choices:
11 am
12 pm
1 pm
None of these
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
279
120
99
21
Answer: B
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:
2
8
7
11
Answer: A
Question: If a light flashes every 6 seconds, how many times will it flash in 1/3 of an hour?
Choices:
201
301
401
501
Answer: A
Question: If there are 11 containers and 562,156 apples, how many apples should be removed to equally distribute them across the containers?
Choices:
0
1
8
3
Answer: B
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
7861
1229
2991
Answer: A
Question: There are 780 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Choices:
130
125
175
225
Answer: A
Question: A shopkeeper sold an book offering a discount of 5% and earned a profit of 14%. What would have been the percentage of profit earned if no discount was offered?
Choices:
120
130
110
150
Answer: A
Question: Divide Rs. 1600 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
Rs.400
Rs.600
Rs.500
Rs.900
Answer: A
Question: The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 3 years ago?
Choices:
214560
152381
210000
200000
Answer: B
Question: David purchased a house for Rs.75000 and a site for Rs.15000 respectively, if he sold the house for Rs.83000 and the site for Rs.10000, then find the resultant percentage of gain?
Choices:
330/3 %
31/3 %
3.33 %
None
Answer: C
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
268
375
998
121
Answer: B
Question: The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 132. What is the number of frogs in the pond ?
Choices:
134
156
144
None
Answer: A
Question: A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 4t seconds, then what is the length of the platform?
Choices:
L
1.5L
2L
3L
Answer: D
Question: A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 42,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary?
Choices:
Rs. 1000
Rs. 3500
Rs. 3000
None of these
Answer: A
Question: A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in two hour?
Choices:
240 metre
120 metre
1200 metre
2200 metre
Answer: A
Question: The simple interest on Rs.500 at 6% per annum from May 3rd to July 15th in the same year is
Choices:
Rs. 6
Rs. 4
Rs. 9
Rs.10
Answer: A
Question: 8 liters of a 25 percent solution of alcohol in water are mixed with 2 liters of a 12 percent alcohol in water solution. What is the percentage of alcohol in the new solution?
Choices:
21.6%
22.0%
22.4%
22.8%
Answer: C
Question: 19.19/2000 is equal to:
Choices:
0.01262533
0.12526333
0.012793333
0.12725333
Answer: C
Question: If 2x+3y=34 and ((x + y)/y)=13/8,then find the value of 5y+7x.
Choices:
75
85
95
None of them
Answer: A
Question: A dish of Babette’s mango surprise consists entirely of mangoes, slivered almonds, agave nectar, and assorted other fruits. If a serving of the dish contains 6 oz. of mango, 5 oz. of slivered almonds, and 2 oz. of agave nectar, and the ratio of mangoes to sunflower seeds is trippled, what is the ratio of mangoes to the rest of the ingredients in the new serving of the dish?
Choices:
12 : 27
4: 8
2 : 16
The answer cannot be determined from the information given.
Answer: D
Question: In a class of students, the ratio of girls to boys is 2:5. If 4 more girls joined the class, the ratio would be 1:2. How many students are in the class?
Choices:
49
50
54
56
Answer: D
Question: Find the value of “n” where 348 + 31996 + 33943 + 33n.
Choices:
1963
1960
1991
1992
Answer: A
Question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point R at the same time, how long, in hours, after the trains depart will they again meet at Point R?
Choices:
6
9
18
22
Answer: A
Question: what should be multiplied to 2880 to make it a perfect square?
Choices:
3
4
5
6
Answer: C
Question: Pipe A fills a tank of capacity 750 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full?
Choices:
45 minutes
39 minutes
40 minutes 20 seconds
None of these
Answer: A
Question: The distance traveled by Airplane in one year approximately 3,570,000,000 miles.The distance traveled by Airplane in 10 years?
Choices:
10<5>
10<10>
10<9>
10<8>
Answer: C
Question: In each term of a sequence, 3 is added to get the next term. If the first term is 6, what is the 64th term?
Choices:
192
134
174
120
Answer: A
Question: Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
8 min
18 min
5 min
6min
Answer: A
Question: X and Y invest Rs.22500 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Choices:
Rs.14850
Rs.12000
Rs.12500
Rs.13500
Answer: A
Question: The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
Choices:
21
23
25
29
Answer: B
Question: Dhoni bought 5 shirts with the average cost of $60. If David also buys the sixth shirt with the price of $ 72, what is the average (arithmetic mean) price of those 6 toys?
Choices:
$64
$65
$62
$66
Answer: C
Question: How many natural numbers are there which give a remainder of 41 after dividing 1997?
Choices:
4
6
None of these
Cannot be determined
Answer: B
Question: 40% of a number is more than 20% of 650 by 190. Find the number?
Choices:
700
800
900
1000
Answer: B
Question: A man spends Rs. 1400 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
Choices:
2050
2200
2300
2400
Answer: A
Question: A particular parking garage is increasing its rates by 15 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month?
Choices:
11%
12%
13%
14%
Answer: C
Question: Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 20 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change?
Choices:
177
178
133
378
Answer: B
Question: If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference V between the greatest and least of the five integers?
Choices:
4k^2 -4k
4-4k
4
4k+4
Answer: C
Question: A zinc-copper alloy with 3 kg of pure zinc would contain 80% of zinc. The alloy with 2 kg of 80% zinc alloy contains 64% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.
Choices:
1.4 kg or 88%
3.4 kg or 60%
7.4 kg or 18%
0.8 kg or 45.7%
Answer: D
Question: Of the 200 math majors at a certain university, 20 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
Choices:
20
30
45
60
Answer: A
Question: A motorcyclist goes from Bombay to Pune, a distance of 160 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
2:5
1:4
1:1
1:6
Answer: A
Question: According to a 2010 census, China's population was 1.34 billion people. If the ratio of male's to females is 1.052:1, respectively, then how many women are there? Answer in terms of (M = women).
Choices:
W = (M)(1.052)
W = M + 1.052
W = M/1.052
W = 1.052 - M
Answer: C
Question: A can do a piece of work in 28 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in
Choices:
6days
7.5days
14days
9days
Answer: C
Question: A certain number when divided by 50 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
5
6
8
9
Answer: A
Question: In the biology lab of "Jefferson" High School there are 5.4*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?
Choices:
200
500
1000
5000
Answer: B
Question: The cost price of a radio is Rs.1900 and it was sold for Rs.1330, find the loss %?
Choices:
31%
30%
45%
12%
Answer: B
Question: A WORKS TWICE AS FAST AS B. IF B CAN COMPLETE A WORK IN 10 DAYS INDEPENDENTLY, THE NUMBER OF DAYS IN WHICH A AND B CAN TOGETHER FINISH THE WORK IS:
Choices:
10/3 DAYS
12/3 DAYS
3/12 DAYS
3/10 DAYS
Answer: A
Question: In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7.
Choices:
5/12
5/28
5/10
5/11
Answer: A
Question: The price of 3 tables and 4 chairs is Rs. 3300. With the same money one can buy 2 tables and 10 chairs. If one wants to buy 1 table and 1 chair, how much does he need to pay?
Choices:
1050
1100
1240
1296
Answer: A
Question: A train running at the speed of 180 km/hr crosses a pole in 7 seconds. What is the length of the train?
Choices:
305
503
430
350
Answer: D
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 16%?
Choices:
26%
42%
27%
22%
Answer: A
Question: The arithmetic mean and standard deviation of a certain normal distribution are 12 and 1.2, respectively. What value is exactly 2 standard deviations less than the mean?
Choices:
9.6
11.5
12
12.5
Answer: A
Question: If X is the sum of first 10 positive even integers and Y is the sum of first 10 positive odd integers, what is the value of x-y?
Please try to explain your answers
Choices:
10
50
75
100
Answer: A
Question: Select Odd number:
6, 9, 15, 21, 24, 28, 30
Choices:
21
24
28
30
Answer: C
Question: There is a 4 inch cube painted on all sides. This is cut into no of 1 inch cubes. What is the no of cubes which have no painted sides.
Choices:
8
9
10
11
Answer: A
Question: If m and n are positive integer, and 1800m=n^3, what is the least possible value of m?
Choices:
3
15
30
45
Answer: B
Question: Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
40/9 days
7.5 days
8.5 days
9.5 days
Answer: A
Question: The difference between the length and breadth of a rectangle is 42 m. If its perimeter is 280 m, then its area is:
Choices:
4250 m2
4459 m2
4092 m2
None
Answer: B
Question: Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.00 at the candy store. What is this student’s weekly allowance?
Choices:
$3.25
$3.75
$4.25
$4.75
Answer: B
Question: A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio W of milk and water in the resultant mixture?
Choices:
9 : 1
3 : 17
5 : 3
11: 2
Answer: A
Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Choices:
15
88
1
12
Answer: A
Question: A present value of a machine is $2500. Its value depletiation rate is 5% per annum then find the machine value after 2 years?
Choices:
$2546
$2256
$2451
$2345
Answer: B
Question: Express the following as a fraction: 0.8%
Choices:
8/10
8/100
4/5
None of the Above
Answer: C
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
2878
388
480
277
Answer: C
Question: A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?
Choices:
35:1
37:13
39:11
41:11
Answer: A
Question: For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 6 minutes from 9:00 in the morning to 6:00 in the afternoon, inclusive. The price of a regular admission ticket was $10 and the price of a student ticket was $6. If on one day 2 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?
Choices:
$23400
$28080
$28500
$29160
Answer: A
Question: If a Bus is travelling at a speed of 45 kmph, crosses a pole in 1 sec, then the length of train is?
Choices:
12.3 m
12.5 m
12.8 m
13 m
Answer: B
Question: The front wheels of a wagon are 2Π feet in circumference and the rear wheels are 3Π feet in circumference. When the front wheels have made 10 more revolutions than the rear wheels, how many feet has the wagon travelled?
Choices:
45Π
60Π
90Π
None
Answer: B
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
17/27
17/22
17/20
17/98
Answer: C
Question: If q = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =
Choices:
-1
0
2
None of the above
Answer: C
Question: Look at this series: 201, 202, 204, 207, ... What number should come next?
Choices:
208
210
211
None
Answer: C
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
6m
9m
2m
8m
Answer: C
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 13.69, the number of the member is the group is:
Choices:
67
37
87
97
Answer: B
Question: A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio T of revenue from car sales in 1996 to revenue from truck sales in 1996?
Choices:
1:2
1:1
3:2
5:3
Answer: A
Question: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?
Choices:
6
8
8
None of these
Answer: A
Question: What is the product of the prime numbers between 1 and 7?
Choices:
10^2
10^3
10^4
10^5
Answer: B
Question: A train 320 m long passed a pole in 28 sec. How long will it take to pass a platform 700 m long?
Choices:
59 sec
93 sec
89 sec
46 sec
Answer: B
Question: What is the dividend? Divisor is 0, the Quotient is 69, the remainder is 1.
Choices:
69
0
4
1
Answer: D
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
80%
90%
23%
Answer: A
Question: m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 18) both lie on the line defined by the equation x = (y/6) - (2/5), what is the value of p?
Choices:
2
3
4
5
Answer: B
Question: Three candidates contested an election and received 500, 7632 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
60%
58.8%
90%
80%
Answer: B
Question: There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total T of the book?
Choices:
3003
3024
3021
3018
Answer: A
Question: Ben likes long bike rides. On one ride, he goes biking for six hours. For the rst hour, he bikes
at a speed of 15 miles per hour. For the next two hours, he bikes at a speed of 12 miles per
hour. He remembers biking 90 miles over the six hours. Compute the average speed, in miles
per hour, Ben biked during the last three hours of his trip.
Choices:
35
17
51
46
Answer: B
Question: The Guests at a football banquet consumed a total of 411 pounds of food. if no individual guest consumed more than 2.5 pounds of food, What is the minimum number of guests that could have attended the banquet?
Choices:
165
162
163
164
Answer: A
Question: The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 3 unit of standard deviation above the mean?
Choices:
-33.0 degrees Celsius
-30.4 degrees Celsius
-27.8 degrees Celsius
-25.2 degrees Celsius
Answer: D
Question: Find the odd man out. 5, 6, 14, 45, 185, 925, 5556
Choices:
925
185
6
None of these
Answer: B
Question: If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
11 8/9%
11 1/9%
16 1/9%
11 1/2%
Answer: B
Question: What is the principal sum?
I. The sum amounts to Rs. 720 in 4 years at S.I.
II. The sum amounts to Rs. 810 in 7 years at S.I.
III. The rate of interest is 10% p.a.
Choices:
II and III only
I and II only
Any one of the three
Any two of the above
Answer: D
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/10 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
Choices:
35
39
30
65
Answer: C
Question: What is 121 times 11?
Choices:
1331
1133
3131
3311
Answer: A
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 5 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choices:
5760
7200
2870
2799
Answer: B
Question: 44Ã—98Ã—101=?
Choices:
435512
548654
543286
546543
Answer: A
Question: A man performs 3/5 of the total journey by rail, 17/20 by bus and the remaining 6.5 km on foot. His total journey is :
Choices:
130 km
135 km
140 km
None
Answer: A
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 210?
Choices:
14
30
42
70
Answer: C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 15 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
432
279
276
291
Answer: A
Question: Solomon taken a loan Rs.15000/- from Co-operative Society with an interest @ 11.5% per month. At the same time he deposited Rs. 10000/- as Fixed Deposit with an interest @ 9.5% per month. After one week sam asked the manager to calculate the interest to be paid. What is the interest amount for 7 days?
Choices:
B)220
C)310
D)185
E)181
Answer: D
Question: Five bells begin to toll together at 12:00 noon and toll respectively at intervals of 3, 4, 5, 6, and 7 seconds. Not including the toll at 12:00 noon, how many more times will all five bells toll together before 1:00 pm (i.e. one hour later)?
Choices:
8
10
12
14
Answer: A
Question: A number is divided by 406 leaves remainder 115,what will be the remainder when it will be divided by 29?
Choices:
30
27
28
29
Answer: C
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices:
277
9888
5460
2777
Answer: B
Question: A car travels from point A to point B. The average speed of the car is 60 km/hr and it travels the first half of the trip at a speed of 75 km/hr. What is the speed of the car in the second half of the trip?
Choices:
45
48
50
55
Answer: C
Question: There is one four-digit whole number n, such that the last four digits of n2 are in fact the original number n
Choices:
7376
9376
7378
9466
Answer: B
Question: A train 600 m long can cross an over brdge of 100m long in 70 sec and then find the speed of the train?
Choices:
30
36
66
12
Answer: B
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5830, what is the length of the plot in metres?
Choices:
200
288
276
220
Answer: D
Question: A man engaged a servant on a condition that he'll pay Rs 90 and also give him a bag at the end of the yr. He served for 9 months and was given a turban and Rs 65. So the price of turban is
Choices:
Rs 10
Rs 0
Rs 55
Rs 8
Answer: A
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 15km/hr, the time taken by the car to cover the same distance will be?
Choices:
1hr 10min
50min
1hr 30min
1hr 45min
Answer: A
Question: Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 55-ounce cans or 15-ounce cans of chili paste. If the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs?
Choices:
15
18
24
21
Answer: A
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 85, what is the value of K?
Choices:
15 3/4
31
23
25 3/10
Answer: B
Question: If (1+f)g=g, which of the following must be true?
Choices:
f=0 or g=0
f=1 or g=1
f=-1 or g=-1
f=0 or g=1
Answer: A
Question: The area of a rhombus is equal to the area of a square whose side length is 8cm. If one of the diagonals is 16cm what is the length of other diagonal?
Choices:
8
12
16
20
Answer: A
Question: If p and q are integers, such that p < 6 < q, and s is a nonnegative integer, which of the following must be true?
Choices:
p + q = 0
sp < sq
sp ≠ sq
p/q < s
Answer: B
Question: Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 50 yr. How old is E?
Choices:
50 yr
45yr
64 yr
NOne
Answer: A
Question: What is the average of 1/2, 2/5 and 7/10?
Choices:
3/10
8/15
1/2
6/5
Answer: B
Question: A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Choices:
45
38
27
28
Answer: A
Question: When a certain number X is divided by 143, the remainder is 59 Which of the following numbers, if added to X, would result in a number divisible by 13?
Choices:
21
34
47
6
Answer: D
Question: What is the value of M and N respectively if M39048458N is divisible by 8 and 11, where M and N are single digit integers?
Choices:
8, 6
6, 4
3, 2
None of these
Answer: B
Question: In a division sum, the quotient is 18, the divisor 43 and the remainder 12, find the dividend?
Choices:
766
796
786
686
Answer: C
Question: Your new cell phone battery needs to be charged for 3 hours and 45 minutes before
using it. If you plug the battery into the charger at 8:20 a.m., you should wait till what
time before using it?
Choices:
11:05 a.m.
12:05 p.m.
13:05 p.m.
15:05 p.m.
Answer: B
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4 kmph
9 kmph
5 kmph
5 kmph
Answer: A
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 35% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
20%
21%
35%
Cannot be determined
Answer: C
Question: There are 6 people in the elevator. Their average weight is 170 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.
Choices:
37
189
190
200
Answer: A
Question: Rs 60000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10%?
Choices:
40000
50000
60000
70000
Answer: A
Question: An article sold at a profit of 20%. If both the cost price and selling price would be Rs.20/- less, the profit would be increased by 10%. What is the price of that article?
Choices:
Rs 60
Rs 65
Rs 62
Rs 68
Answer: A
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 4/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
7/31
10/21
17/35
1/2
Answer: A
Question: The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a raƟo
less than 16 : 21, is
Choices:
3
5
6
7
Answer: A
Question: The ratio of spinsters to cats is 2 to 7. If there are 40 more cats than spinsters, how many spinsters are there?
Choices:
16
18
20
22
Answer: A
Question: The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 8 years ago, the sum of their ages was 76, what will be the age of Bren 10 years from now?
Choices:
25
27
35
50
Answer: D
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Choices:
35
40
47
50
Answer: B
Question: If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 14 days. If he works at reduced efficiency, he can work without break and finish that same job in 14 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
Choices:
4/5
3/2
4/6
5/2
Answer: D
Question: Evaluate:7899665 - 12*3*2 =?
Choices:
2789255
6868575
7899657
1023666
Answer: C
Question: The average salary of 20 workers in an office is Rs.1900 per month. If the manager's salary is added, the average salary becomes Rs.2000 p.m. What is the manager's annual salary?
Choices:
Rs.25,200
Rs.45,600
None of these
Cannot be determined
Answer: C
Question: A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
Choices:
8
9
24
23
Answer: C
Question: What percentage of numbers from 1 to 50 have squares that end in the digit 4?
Choices:
14
25
21
None of the these
Answer: D
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Choices:
Rs. 8900
Rs. 8400
Rs. 3400
Rs. 8440
Answer: B
Question: Two numbers are in the ratio of 5:7. If 7 is subtracted from each number, they are in the ratio of 2:3. What are the two numbers?
Choices:
35, 49
45, 63
50, 70
55, 77
Answer: A
Question: A wooden box of dimensions 8 m x 10 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 5 cm x 6 cm. The maximum number ofboxes that can be carried in the wooden box, is
Choices:
1000000
7500000
4000000
None of these
Answer: C
Question: What will be remainder when 17200 is divided by 18 ?
Choices:
16
14
1
2
Answer: C
Question: A person travels equal distances with speeds of 7 km/hr, 8 km/hr and 9 km/hr and takes a total time of 47 minutes. The total distance is?
Choices:
6 km
7 km
9 km
2 km
Answer: A
Question: Pipes A and B can fill a cistern in 20 and 60 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
30
32
18
19
Answer: A
Question: If 1/(x+1)+1/(x-1)=1/(x-1), what is the value of x?
Choices:
-2
1
-1
5
Answer: B
Question: If x is the sum of six consecutive integers, then x is divisible by which of the following:
I. 6
II. 4
III. 11
Choices:
II,III only
III only
I,III only
II only
Answer: B
Question: The greatest number which on dividing 1557 and 2037 leaves remainders 7 and 5 respectively, is:
Choices:
127
2
305
505
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
7 kmph
8 kmph
3 kmph
Answer: A
Question: 1,2,3,4,5,6,7 are arranged such that sum of two successive numbers is a prime number. For example, 1234765 (i.e. 1+2=3, 2+3=5, 3+4=7....)
1. How many such possible combinations occur?
2. How many possible combination occurs if first number is 1/7 and last number is 7/1 (i.e 1xxxxx7 or 7xxxxx1)?
3. How many numbers will come on 4th position(xxx_xxx)?
Choices:
How many possible combination occurs if first number is 1/7 and last number is 7/1 (i.e 1xxxxx7 or 7xxxxx1)?
How many numbers will come on 4th position(xxx_xxx)?
W3
24
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 120 m, find the area of the rectangle?
Choices:
356 sq m
452 sq m
428 sq m
675 sq m
Answer: D
Question: The average runs scored by a batsman in 25 matches is 45. In the next 7 matches the batsman scored an average of 15 runs. Find his average in all the 32 matches?
Choices:
38.44
29.55
97.66
45.66
Answer: A
Question: If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 10000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is ready for college?
Choices:
$40000
$12000
$10000
$9000
Answer: A
Question: Car A leaves the airport at 9:00 am and travels at a constant rate of 30 km per hour. Car B leaves the airport at 9:30 am and travels in the same direction along the same highway at a constant rate of 34 km per hour. At what time will Car B be 12 km ahead of Car A?
Choices:
4:00 pm
4:15 pm
4:30 pm
4:45 pm
Answer: B
Question: Shop Offered 20% offer for every Shirt, Smith bought a shirt at Rs. 560. and What was the shop's original selling Price?
Choices:
550
600
700
750
Answer: C
Question: Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Choices:
15 : 8
15 : 5
15 : 2
15 : 1
Answer: A
Question: Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?
Choices:
Rs.1104
Rs.934
Rs.1210
Rs.1110
Answer: A
Question: Find the average of the series : 312, 162, 132, 142 and 122?
Choices:
866
168
126
174
Answer: D
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/11 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
Choices:
33
39
60
65
Answer: A
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what Y percent of the list price is the lowest possible sale price?
Choices:
25
30
40
50
Answer: C
Question: Train X and Y, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train X left at 4 pm traveling at a speed of 60 miles per hour, and train Y left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
Choices:
5.05pm
6.05pm
7.05pm
9.05pm
Answer: D
Question: What is the least common multiple of 15, 18, and 34?
Choices:
120
240
360
1530
Answer: D
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?
Choices:
A)25
C)20
D)21
E)18
Answer: A
Question: Let the least number of six digits,which when divided by 4,6,10 and 15 leaves in each case the same remainder of 2, be N. The sum of the digits in N is :
Choices:
4
5
6
7
Answer: B
Question: When a natural number N is successively divided by 10,20,30,40. the remainders are 50,60,70,80. What will be the sum of the remainders if the order of the division is reversed?
Choices:
14
28
11
9
Answer: B
Question: On a certain plane, 2/5 of the passengers speak Tamil and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
Choices:
75
80
94
96
Answer: B
Question: A man tosses three coins in the air. When they land, he finds that two of the coins have heads up and one has tails up.
What is the probability that when the coins are tossed again, they will land again with two heads up and one tails up.
Please note that the coins are unbiased.
Choices:
50%
45%
61%
45%
Answer: A
Question: A completes a work in 12 days and B complete the same work in 20 days. If both of them work together, then the number of days required to complete the work will be
Choices:
9 days
7.5 days
12 days
13 days
Answer: B
Question: Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
Choices:
3.
2.
1/3.
6.
Answer: A
Question: A bag contains 8 red and 7 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
8/15
5/8
1/4
5/7
Answer: A
Question: If a,b, and c are consecutive positive integers and a>b>c, what can be the value of (a^2-b^2)(b^2-c^2)?
Choices:
63
75
86
98
Answer: A
Question: a light flashes every 12 seconds, how many times will it flash in ? of an hour?
Choices:
300
650
700
750
Answer: A
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum D of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
4x
5x/3
3x/2
3x/5
Answer: A
Question: In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?
Choices:
120950
120970
120960
120980
Answer: C
Question: How many odd, positive divisors does 440 have?
Choices:
3
12
15
24
Answer: A
Question: Three integers are at random chosen between 0 and 9 inclusive. What is the probability W that each number is different ?
Choices:
A.18/25
C.81/100
D.9/10
E.1
Answer: A
Question: In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required is:
Choices:
5
6
8
9
Answer: C
Question: In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?
Choices:
18/49
23/30
23/36
29/36
Answer: B
Question: For any positive integer b, the sum of the first b positive integers equals b(b+1)/2 . If a and b are positive integers and a > b, what is the sum of all the integers between a and b, inclusive?
Choices:
a(a+1)/2 - b(b-1)/2
a(a+1)/2 - b(b+1)/2
a(a+1)/2 + b(b-1)/2
a(n+1)/2 - b(a-1)/2
Answer: A
Question: Two pipes A and B can separately fill a tank in 10 and 15 minutes respectively. A third pipe C can drain off 20 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Choices:
540 liters
200 liters
560 liters
580 liters
Answer: B
Question: If 2x = 3√32, then x is equal to :
Choices:
5/3
15
25
NOne
Answer: A
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be?
Choices:
7:3
7:2
7:9
7:1
Answer: A
Question: The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 50 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
40,10 kmph
40,70 kmph
78,10 kmph
70,12 kmph
Answer: A
Question: An employee identification code consists of a vowel followed by a 3-digit number greater than 200. Exactly 2 of the 3 digits in the code should be identical. How many different codes is it possible to form?
Choices:
216
1075
1080
2160
Answer: B
Question: The positive two-digit integers a and b have the same digits, but in reverse order. Which of the following must be a factor of a + b?
Choices:
9
10
55
14
Answer: C
Question: A bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Choices:
3/5
3/11
1/4
7/16
Answer: B
Question: By selling 15 pencils for a rupee a man loses 25%. How many for a rupee should he sell in order to gain 25%?
Choices:
9
7
6
5
Answer: A
Question: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Choices:
40
88
76
26
Answer: A
Question: A and B invest money in the ratio 3:4 and they has loss of Rs.8400 at the end of year. what is the share of loss of B?
Choices:
Rs.4800
Rs.4600
Rs.4500
None of the above
Answer: A
Question: A certain number of two digits is three times the sum of its digits and if 45 be added to it, the digits are reversed. Then number is
Choices:
23
27
72
57
Answer: B
Question: The tax on a commodity is diminished by 10% and its consumption increased by 15%. The effect on revenue is?
Choices:
3.5% increase
9% decrease
3% decrease
2% increase
Answer: A
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 5feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
Choices:
20
40
50
80
Answer: A
Question: In how many ways can you seat 8 people on a bench if one of them does not want to sit at either end?
Choices:
27,480
28,120
29,860
30,240
Answer: D
Question: A car takes 6 hours to cover a distance of 288 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
32 Kmph
70 Kmph
None
Answer: B
Question: The compound interest on a certain sum for 2 years at 10% per annum is $525. The simple interest on the same sum for double the time at half the rate percent per annum is:
Choices:
500
600
800
1000
Answer: A
Question: [1/4(2/5) + 1/2(4/9)] = ?
Choices:
7/11
2/11
1/11
2/11
Answer: A
Question: Two trains of length 90 m and 95 m are 250 m apart. They start moving towards each other on parallel tracks, at speeds 64 kmph and 92 kmph. After how much time will the trains meet?
Choices:
55/10
56/10
57/10
58/10
Answer: D
Question: A store reported total sales of $416 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%
30%
65%
83%
Answer: B
Question: The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 3.6 miles in the fifth 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
Choices:
35
39
43
47
Answer: B
Question: A bus travel 5/7 of its speed covers 42 km in 1 hr 40 min48 sec. What is theactual speed of the bus ?
Choices:
35 km/hr
42 km/hr
45 km/hr
50 km/hr
Answer: A
Question: What is the perimeter of a triangle with sides 5 and 3 that has the maximum possible area?
Choices:
8 + √34
12
8 + 3√5
8 + 3√6
Answer: A