antoine-444/aqua_rat_dataset huggingface dataset:
Question: Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p +2?
Choices:
8
9
10
11
Answer: A
Question: Average of 5 numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Choices:
-33
-39
-42
32
Answer: A
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
183
190
210
212
Answer: C
Question: If you have 5 New Year greeting cards and you want to send them to 2 of your friends, in how many ways can this be done?
Choices:
20
92
67
None
Answer: A
Question: Each of the 35 points is placed either inside or on the surface of a perfect sphere. If 88% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Choices:
11
13
14
15
Answer: D
Question: Find the average of all the numbers between 11 and 34 which are divisible by 10?
Choices:
20
25
30
15
Answer: B
Question: 7,12,40,222,1742,17390,208680 which number is wrong in series
Choices:
7
40
222
1742
Answer: A
Question: S is a set of 50 consecutive multiples of 2. If the smallest number in S is 56, then the greatest number in S is
Choices:
154
199
102
105
Answer: A
Question: A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on convenience he has Rs.1400 left with him,find his expenditure on food and conveyance.
Choices:
1000
4000
2000
5000
Answer: A
Question: The total of the ages of Amar, Akbar and Anthony is 60 years. What was the total of their ages three years ago ?
Choices:
51 years
52 years
53 years
55 years
Answer: A
Question: If x and y are integers such that (x+1)^2 is less than or equal to 81 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
Choices:
-20
0
14
16
Answer: A
Question: John can read m pages in 4 minutes. At this rate, how long will it take him to read n pages?
Choices:
(5/m)*n
(6/m)*n
(4/m)*n
(8/m)*n
Answer: C
Question: If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 3.
II. x is an integer multiple of 6
III. x is an integer multiple of 4
Choices:
b) II only
c) I and II only
d) I and III only
e) I,II and III
Answer: B
Question: IN Common Wealth Games an athlete runs 200 meters in 32 seconds. Hisspeed is ?
Choices:
27 km/hr
30 km/hr
32 km/hr
None of these
Answer: D
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 20 days, then B alone can do the same work in?
Choices:
0.075 days
0.55 days
0.25 days
0.15 days
Answer: A
Question: At a certain college, 50 percent of the total number of students are freshmen. If 40 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
Choices:
4%
15%
5%
25%
Answer: A
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 30% on the cost price?
Choices:
65
67.5
62.5
22.5
Answer: A
Question: Among the answers given below, which is nearly equal to √7?
Choices:
1.9
2.6
2.5
3.0
Answer: B
Question: If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 7 days ?
Choices:
X-1/32
X-1/64
X-1/128
X-1/164
Answer: C
Question: Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.32 per ounce, what is the share of Arabica in this blend?
Choices:
20%
30%
33%
40%
Answer: A
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/9 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used?
Choices:
144
104
216
250
Answer: B
Question: Jim and Reneesh will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Reneesh have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win?
Choices:
2/3
1/2
5/12
1/3
Answer: D
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 290 m in length?
Choices:
88.9 sec
22.9 sec
24.00 sec
72.0 sec
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 21 seconds. Find the length of the train.
Choices:
350 m
240 m
135 m
255 m
Answer: A
Question: A number is doubled and 4 is added. If the resultant is divided by 5, it becomes 25. What is that number?
Choices:
68
60.5
None of these
Cannot be determined
Answer: B
Question: A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water?
Choices:
3h
4h
2h
9h
Answer: A
Question: Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many of Q applicants majored in political science and had a GPA higher than 3.0?
Choices:
5
15
25
35
Answer: A
Question: A person buys an article at Rs.340. At what price should he sell the article so as to make a profit of 10%?
Choices:
882
374
356
521
Answer: B
Question: At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
Choices:
4%
9%
3%
1%
Answer: A
Question: A and B are two circles. The radius of A is twice as large as the diameter of B. What is the ratio between the areas of the circles?
Choices:
1:2.
1:4.
1:16
1:6.
Answer: C
Question: Nathan is 3.4 miles from home and is traveling at 60 mph. How long until he is home?
Choices:
About 5 and a half minutes
About 12 minutes and a half
About 16 minutes
About 2 minutes
Answer: A
Question: Two persons starting from the same place walk at a rate of 9kmph and 12.5kmph respectively. What time will they take to be 24.5km apart, if they walk in the same direction?
Choices:
7 hrs
5 hrs
12 hrs
16 hrs
Answer: A
Question: An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $1,925, what was the total number of pairs of contact lenses that she sold?
Choices:
13
15
17
19
Answer: B
Question: X can finish a work in 20 days. Y can finish the same work in 16 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
3
9
5
8
Answer: C
Question: In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
Choices:
4
5
6
None of the above
Answer: D
Question: In how many different ways can the letters of the word ATRIUMS be arranged in such a way that the vowels occupy only the even positions?
Choices:
96
120
144
180
Answer: C
Question: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
Choices:
500 ways
168 ways
659 ways
175 ways
Answer: A
Question: Recently, I decided to walk down an escalator of a tube station. I did some quick calculation in my mind. I found that if I walk down twenty " six steps, I require thirty seconds to reach the bottom. However, if I am able to step down thirty " four stairs, I would only require eighteen seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time I step off the last step at the bottom?
Choices:
44
45
40
46
Answer: D
Question: A person bought 114 glass bowls at a rate of Rs. 13 per bowl. He sold 108 of them at Rs. 17 and the remaining broke. What is the percentage gain for A?
Choices:
3000/11
5900/247
2790/11
2709/8
Answer: B
Question: A man can hit the target once in four shots. If he fires four shots in succession, what is the probability that he will hit the target?
Choices:
1/256
81/256
175/256
185/256
Answer: C
Question: When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?
Choices:
-2
11
13
22
Answer: B
Question: Among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from the 2,500 people, what is the probability that the person selected will be one who invests in municipal bonds but NOT in oil stocks?
Choices:
7/25
7/20
21/50
27/50
Answer: A
Question: If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 2
II. y = 0
III. x = 0
Choices:
II only
III only
I and III only
I, II, and III
Answer: B
Question: Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. if he sells the scooter for Rs. 5800, his gain percent is :
Choices:
5 5/11%
10%
12%
15%
Answer: A
Question: If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004?
Choices:
Wednesday
Friday
Monday
Tuesday
Answer: A
Question: The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is?
Choices:
35yr
20yr
30yr
40yr
Answer: A
Question: How many triangles can be formed by joining the vertices of an octagon?
Choices:
56
23
12
89
Answer: A
Question: In the equation m = 36.12n, n and m are integers. If m/n leaves a remainder of r, which of the following must divide into r?
Choices:
3
4
6
12
Answer: A
Question: Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for p dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
Choices:
x/(p - y)
x
x/p
x/y
Answer: A
Question: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
Choices:
25
88
29
10
Answer: A
Question: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Choices:
Rs. 170
Rs. 175.50
Rs. 180
Rs. 190
Answer: B
Question: Find the largest 4 digit number which isexactly divisible by 88?
Choices:
3588
9944
5465
6784
Answer: B
Question: Angelina walked 180 meters from her home to the grocery at a constant speed. She then walked 240 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
Choices:
3
4
6
12
Answer: A
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the total share of A & B in profit of Rs.12100 after a year?
Choices:
Rs.4050
Rs.6050
Rs.7050
Rs.6080
Answer: B
Question: One fourth of a solution that was 12% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Choices:
28%
22%
18%
8.5%
Answer: A
Question: Nathan took out a student loan for 1200$ at 10 percent annual interest, compounded annually. If he did not repay any of the loan or interest during the first 3 years, which of the following is the closest to the amount of interest he owed for the 3 years.
Choices:
390
400 dollars
410
420
Answer: B
Question: In a race with 30 runners where 5 trophies will be given to the top 9 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Choices:
9^5 ways
7^8 ways
8^7 ways
8^6 ways
Answer: A
Question: Look at this series: 65, 77, 84, __, 91, 98, 65, 105, ... What number should fill the blank?
Choices:
70
82
77
65
Answer: D
Question: What will come in place of the x in the following Number series? 1, 2, 4, 7, 12, 19, X
Choices:
30
31
41
29
Answer: A
Question: If soundharya rows 49 km upstream and 77 km down steam taking 7 hours each, then the speed of the stream
Choices:
5 kmph
2 kmph
3 kmph
4 kmph
Answer: B
Question: In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $1,500 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $6,000 higher that M, then what percentage of apartments in the building are two-bedroom apartments?
Choices:
35%
30%
20%
28%
Answer: C
Question: 3 6 7 12 13 18 19 24 . ?
Choices:
25
26
27
28
Answer: A
Question: The sum W of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by Wn = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted.
Choices:
4302
4258
4214
4170
Answer: C
Question: o mow a grass field a team of mowers planned to cover 15 hectares a day. After 4 working days they increased the daily productivity by 33×13%33×13%, and finished the work 1 day earlier than it was planned.
A) What is the area of the grass field?
B) How many days did it take to mow the whole field?
C) How many days were scheduled initially for this job?
Choices:
39
37
20
28
Answer: C
Question: When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?
Choices:
31
49
53
67
Answer: C
Question: A cube of side 1.5 meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
3375
1000
2997
2701
Answer: A
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.5 years, The ratio of the number of boys to the number of girls in the class is
Choices:
1 : 2
9 : 3
6 : 3
2 : 5
Answer: A
Question: Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $50 per month and Plan B costs $150 per month per customer. If the company’s average revenue per customer per month is $100, then what percent of the company's revenue comes from customers with Plan A?
Choices:
25%
37.5%
56.25%
75%
Answer: A
Question: There are 456 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
Choices:
264
57
171
181
Answer: A
Question: The true discount on a bill of Rs. 540 is Rs. 90. The Banker’s discount is
Choices:
Rs. 108
Rs. 110
Rs. 112
None of these
Answer: A
Question: (1/34)+(1/35)+……+(1/64)+(1/65) is including in which of the following ranges?
Choices:
1/2~1
2
3
4
Answer: A
Question: The S.I. on a certain sum of money for 2 years at 4% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Choices:
5250
5750
2267
5262
Answer: A
Question: The speed of a boat in still water is 90kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
110, 70 kmph
90, 60 kmph
40, 60 kmph
20, 60 kmph
Answer: A
Question: If A speaks the truth 80% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
Choices:
0.48
0.41
0.482
0.411
Answer: A
Question: In the third grade of Windblown School there are 78 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
Choices:
0.
8.
10.
12.
Answer: A
Question: If 1535/1038 = a+1/[b+1 /{c+(d+1/e)}]. Find a*b*c*d*e?
Choices:
175/2
178/3
187 by 2
197/2
Answer: C
Question: (469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ?
Choices:
174
171
176
170
Answer: A
Question: Which of the following numbers is divisible by 11?
Choices:
2232
1522
8524
9515
Answer: D
Question: A no. Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?
Choices:
2/5
3/7
3/11
2/7
Answer: B
Question: Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 2. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?
Choices:
7, 9, 17
6, 9, 12
5, 15, 18
9, 10, 13
Answer: A
Question: Two partners in a business (James and Kelly) invested $900 and $1600 in a business respectively. At the end of the year they made a profit of $950. Find share of each partner?
Choices:
$392,$608
$342,$408
$342,$608
$347,$608
Answer: C
Question: Jason flips a coin three times. What is the probability X that the coin will land on the same side in all three tosses?
Choices:
1/8
1/4
1/3
1/2
Answer: B
Question: The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?
Choices:
29
64
39
35
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
887
166
1811
Answer: A
Question: IN Common Wealth Games an athlete runs 200 meters in 30 seconds. Hisspeed is ?
Choices:
24 km/hr
30 km/hr
32 km/hr
None of these
Answer: A
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children A & B must sit next to each other, and child C must be somewhere to the right of A & B. How many possible configurations are there for the children?
Choices:
720
1440
4320
4800
Answer: A
Question: January 25, 2014, fell on a Saturday. On which day of the week did January 25, 2016, fall? (Note: 2016 was a leap year.)
Choices:
Monday
Tuesday
Wednesday
Thursday
Answer: A
Question: A person buys an article at $800. At what price should he sell the article so as to make a profit of 12%?
Choices:
890
990
789
740
Answer: B
Question: How many T ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Choices:
240
360
540
720
Answer: A
Question: If the sum of all consecutive integers from A to B (A<B), inclusive, is S and the average (arithmetic mean) of these integers is M, then, in terms of A, B, and S, what is the value of M?
Choices:
2S/(A+B)
(B−A)/2
S/(B−A+1)
(B−A)/(2S)
Answer: C
Question: In the first hour of a two-hour trip, a car traveled d kilometers, and in the second hour of the trip, the car traveled one third that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?
Choices:
1/3*d
1/2*d
3/4*d
2/3*d
Answer: D
Question: What is the place value of 4 in the numeral 488?
Choices:
400
4
4000
20
Answer: A
Question: If x <<< 1000, then the value of (x-1)/(3x+1) is closest to?
Choices:
1/7
1/2
1/3
1/4
Answer: C
Question: The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages.
Choices:
8,20,28
16,28,36
16,28,46
None of these
Answer: B
Question: Two trains 100 meters and 120 meters long are running in the same direction with speeds of 100 km/hr, 82 km/hr. In how much time will the first train cross the second
Choices:
35 sec
48 sec
44 sec
36 sec
Answer: C
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.20000, my total savings for the two-year is
Choices:
s. 9000
s. 9900
s. 9990
s. 11000
Answer: D
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
8000
9000
10000
11000
Answer: A
Question: How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
Choices:
20
72
54
43
Answer: B
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 100%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
50% decrease
40% decrease
40% increase
50% increase
Answer: C
Question: A man two flats for $512456 each. On one he gains 20% while on the other he loses 20%. How much does he gain or lose in the whole transaction?
Choices:
5%
12%
6%
4%
Answer: D
Question: 3/5 of all married couples have more than one child. 1/4 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
Choices:
B.1/4
7/20
3/5
It cannot be determined from the given information.
Answer: B
Question: In the first M games of a team's season, the ratio of the team's wins to its losses was 1:2. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?
Choices:
9:23
10:17
23:54
31:77
Answer: B
Question: If Clara owns 7 boxes of cardboard of the 12 boxes placed on a table, and 2 boxes are to be picked from the table at random, what is the probability that the boxes picked at random are not Clara's?.
Choices:
5/33
7/33
2/7
7/12
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 45% but the selling price
remains constant, approximately what percentage of the selling price is the profit
Choices:
65%
90%
100%
None of above
Answer: A
Question: A and B invest money in the ratio 3:4 and they has loss of Rs.7000 at the end of year. what is the share of loss of B?
Choices:
Rs.4000
Rs.7000
Rs.2000
None of the above
Answer: A
Question: If a man lost 4% by selling oranges at the rate of 60 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
28
39
40
43
Answer: C
Question: One decade ago, X was half of Y in age. If the proportion of their current ages is 3:4, what will be the overall of their current ages?
Choices:
35 years
76 years
55 years
43 years
Answer: A
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings?
Choices:
$600
$700
$800
$900
Answer: C
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly 6 hours to fill a swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
Choices:
8
9
10
11
Answer: C
Question: At a certain food stand, the price of each apple is 40¢ and the price of each orange is 60¢. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 54¢. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 48¢?
Choices:
2
3
4
5
Answer: D
Question: Find large number from below question The difference of two numbers is 250. On dividing the larger number by the smaller, we get 5 as quotient and the 14 as remainder
Choices:
135
140
309
369
Answer: C
Question: Entry fee in an exhibition is $1. Later this was reduced by 25% which increased the sale by 20%. The percentage increase in the number of visitors is?
Choices:
40%
50%
60%
100%
Answer: C
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
26 Kmph
72 Kmph
66 Kmph
41 Kmph
Answer: B
Question: Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability R that Kate has more than $10 but less than $15?
Choices:
1/2
R=12/30
R=15/32
R=3/8
Answer: C
Question: An escalator moves towards the top level at the rate of 8 ft.sec and its length is 160 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
Choices:
10 sec
16 sec
8 sec
9 sec
Answer: B
Question: Evaluate: 10010 - 12*3*2 = ?
Choices:
70002
50002
90002
10002
Answer: D
Question: On the xy co-ordinate plane, point C is (5,-2) and point D is (-1,1.5). The point on line segment CD that is twice as far from C as from D is:
Choices:
(1,1)
(2,0.25)
(3,0.5)
(3,1)
Answer: D
Question: In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been
Choices:
144
326
292
584
Answer: D
Question: The G.C.D. of 1.08, 0.36 and 0.9 is:
Choices:
0.9
0.18
0.108
0.118
Answer: B
Question: If r and s are positive integers, and r^2 + r/s is an odd integer, which of the following cannot be even?
Choices:
(r-1)(s+2)
r^(s+1) + s^r
r^3 +3
s^4 +4
Answer: C
Question: 117 + 1.017 + 0.117 + 1.0017 = ?
Choices:
119.7563
119.1357
119.5637
119.6753
Answer: B
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for $75 less, he could have gained 25%. What is the cost price?
Choices:
274
250
280
222
Answer: B
Question: A cement mixture is composed of 3 elements. By weight, 1/4 of the mixture is sand, 2/5 of the mixture is water, and the remaining 14 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
Choices:
14
28
40
60
Answer: C
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
1000
2888
1777
1555
Answer: A
Question: The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
Choices:
1 : 9
1 : 8
1 : 3
1 : 1
Answer: B
Question: A positive number x is multiplied by 10, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
3/2
4/3
2/3
10/3
Answer: D
Question: Cost is expressed by the formula tb^4. If b is doubled, the new cost R is what percent of the original cost?
Choices:
R=600
R=800
R=1600
R=50
Answer: C
Question: In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs.20 per kg respectively so as to get a mixture worth Rs.16.50 per Kg?
Choices:
5 : 7
7 : 3
7 : 5
None
Answer: B
Question: Anup was asked to find the value of 7/12 of a sum of money R. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is:
Choices:
89
84
69
49
Answer: D
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
2 hours
5 hours
9 hours
3 hours
Answer: A
Question: A man walks at a rate of 10 mph. After every ten miles, he rests for 6 minutes. How much time does he take to walk 40 miles?
Choices:
258
322
324
330
Answer: A
Question: What is the difference between the CI on Rs. 5000 for 1 years at 4% per annum CI yearly and half yearly?
Choices:
Rs. 2.04
Rs. 4.50
Rs. 5
Rs. 6.50
Answer: A
Question: Of the female students at Barkely University, 1/6 are on the honor roll. Of the male students, 2/5 are on the honor roll. If 3/5 of the students are female, what is ratio of male to female students on honor roll?
Choices:
8/5
23/30
43/60
53/90
Answer: A
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Choices:
27 days
24 days
18 days
17 days
Answer: B
Question: If 4 men can colour 48 m long cloth in 2 days, then 5 men can colour 36 m long cloth in
Choices:
1.2 day
3 days
4.2 days
5 days
Answer: A
Question: If s=1 and (s-b)/c = 1 which of the following is NOT a possible value of b?
Choices:
-1
0
1
2
Answer: C
Question: A certain factory employed 600 men and 400 women and the average wager was Rs. 25.50 per day, If a woman got Rs. 5 less than a man, then what are their daily wages ?
Choices:
m:27.50 w:22.50
m:26.50 w:27.50
m: 24.50 w:26.50
None of these
Answer: A
Question: What is the sum of all remainders obtained when the first 100 natural numbers are divided by 7?
Choices:
401
403
405
364
Answer: D
Question: If the equation x^2−6x=2k has at least one solution, which of the following must be true?
Choices:
k < −9
k = 9
k ≤ 9
k ≥ −9/2
Answer: D
Question: Find the greatest number which divides 83, 125 and 209 leaving the same remainder in each case.
Choices:
17
42
23
32
Answer: B
Question: A student multiplied a number by 3/5 instead of 5/3. What is the percentage error.
Choices:
64%
66%
67%
68%
Answer: A
Question: A and B both work for the same company. A goes to work Monday through Thursday, and B goes to work Tuesday thru Thursday. A takes 2 weeks of vacation per year, and B only takes 1 week. They do not take their vacations during the same week. What percent of the year can they carpool to work together, assuming they both have the same schedule? 1 year = 52 weeks = 364 days
Choices:
56.4%
45.6%
27.2%
40.4%
Answer: D
Question: 9 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
15/2 days
82/8 days
22/76 days
22/2 days
Answer: A
Question: The average of temperatures at noontime from Monday to Friday is 60; the lowest one is 50, what is the possible maximum range of the temperatures?
Choices:
50
40
45
75
Answer: A
Question: Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
Choices:
8/35
27/35
21/32
33/35
Answer: A
Question: Pandiyan buys an old scooter for Rs. 6000 and spends Rs. 600 on its repairs. If he sells the scooter for Rs. 7200, his gain percent is :
Choices:
12%
9.09%
5%
None of these
Answer: B
Question: 500 x (200 + 4) Ã— (3 + 2) = ?
Choices:
450000
250000
410000
510000
Answer: D
Question: Two tains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
24
36
48
38
Answer: B
Question: If a certain sample of data has a mean of 25.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
13.5
17.0
23.5
26.5
Answer: B
Question: The number 0.650 is how much greater than 1/8 ?
Choices:
21/40
1/50
1/500
2/500
Answer: A
Question: Which of the following multipliers will cause a number to be increased by 29.7%?
Choices:
12.97
129.7
1297
None
Answer: C
Question: How many diagonals does a polygon with 17 sides have, if one of its vertices does not connect to any diagonal?
Choices:
104
110
90
84
Answer: A
Question: For any real number x, the operatoris defined as:
(x) = x(6 − x)
If p + 1 =(p + 1), then p =
Choices:
0
1
2
5
Answer: D
Question: Diane find 6 cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
Choices:
7 and a half
10
12 and a half
30
Answer: D
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 15 minutes. How long will it take to go 5 km in stationary water?
Choices:
1 hour
1 hour 15 min
1 hour 30 min
1 hour 40 min
Answer: D
Question: The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $91 per day. What was his wage on the 8th day?
Choices:
$90
$92
$97
$104
Answer: D
Question: If two numbers are in the ratio 2:3. If 5 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
A)10
C)25
D)30
E)35
Answer: A
Question: A thief is spotted by a policeman from a distance of 300metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 16km/hr and that of the policeman 20km/hr, how far the thief will have run before he is overtaken ?
Choices:
B)500m
C)650m
D)750m
E)1200m
Answer: D
Question: √(14)^2
Choices:
14
49
21
None of these
Answer: A
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required?
Choices:
8 days
11 days
13 days
15 days
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 15% and 5% is?
Choices:
879
323
762
269
Answer: B
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 9180, how much money did he borrow?
Choices:
9000
2668
2600
2781
Answer: A
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
Choices:
1.44
1.49
1.42
1.43
Answer: A
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 2 years hence?
Choices:
59
64
70
74
Answer: B
Question: A, B and C can do a work in 6, 9 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
Choices:
Rs.653.8
Rs.300
Rs.400
Rs.748.5
Answer: A
Question: A large kennel has a gate for dogs to enter and a gate for dogs to exit. The kennel can be filled with dogs who use the entrance in 5 hours. The exit gate can be used to empty the kennel in 15 hours. If it is desired that the kennel should be filled, from empty, exactly 6 hours after the entrance gate is opened at 9:30am, then at what time should the exit gate be opened ?
Choices:
10:45am
12:00pm
12:30pm
1:30pm
Answer: C
Question: At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 155 male associates, how many female managers are there?
Choices:
20
25
30
35
Answer: D
Question: On a trip, a cyclist averaged 8 miles per hour for the first 16 miles and 10 miles per hour for the remaining 16 miles. If the cyclist returned immediately via the same route and took a total of 6.8 hours for the round trip, what was the average speed (in miles per hour) for the return trip?
Choices:
10
11
12
13
Answer: A
Question: What is the minimum value of z for which z^2 + z - 3/14 > 0 is not true?
Choices:
-3/7
-1/7
1/7
4/7
Answer: A
Question: Goldenrod and No Hope are in a horse race with 7 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Choices:
2520
1200
240
210
Answer: A
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
4 1/5 Km
5 1/5 Km
6 1/5 Km
Answer: A
Question: As a bicycle salesperson, David earns a fixed salary of $25 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<3x II. y>x III. y>1
Choices:
III only
I only
II only
II,III only
Answer: D
Question: In an increasing sequence of 6 consecutive integers, the sum of the first 4 integers is 570. What is the sum of the last 2 integers in the sequence?
Choices:
291
274
270
265
Answer: A
Question: Sandy can do a job in 15 days and Molly can do the same job in 30 days. If they work together, in how many days will they complete the job?
Choices:
9
10
11
12
Answer: B
Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and repetition is allowed?
Choices:
3433
3333
3430
3773
Answer: C
Question: 5, 9, 17, 29, 45, ?
Choices:
87
60
65
44
Answer: C
Question: The present ages of A,B & C are in proportions 4:7:9. 8 years ago, the sum of their ages was 56. What are their present ages?
Choices:
16,22 and 36
16,28 and 36
14,18 and 36
None
Answer: B
Question: A train 300m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
B)113kmph
C)162kmph
D)145kmph
E)100kmph
Answer: A
Question: A train 250 m long passed a pole in 10 sec. How long will it take to pass a platform 1250 m long?
Choices:
60 sec
120 sec
150 sec
180 sec
Answer: A
Question: Two horses begin running on an oval course at the same time. One runs each lap in 4 minutes; the other takes 16 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
Choices:
12
16/3
4
3
Answer: B
Question: Two tailors x and y are paid a total of $100 per week by their employer. If x is paid 150% of the sum paid to y. How much is y paid per week?
Choices:
28.6
36.3
45.5
19.2
Answer: A
Question: 1100 boys and 700 girls are examined in a test; 45% of the boys and 30% of the girls pass. The percentage of the total who failed is ?
Choices:
B)60.8%
C)81.2%
D)75.4%
E)69.1%
Answer: A
Question: If A:B = 1/7: 1/3 B:C = 1/2:1/3 then A:B:C?
Choices:
9:6:8
9:6:2
9:6:4
9:21:14
Answer: D
Question: z, b, and c are positive integers. If z, b, and c are assembled into the six-digit number zbczbc, which one of the following must be a factor of zbczbc?
Choices:
13
5
3
none of the above
Answer: A
Question: A company recently conducted a survey and found that 25,000 of its customers live in rural areas. If the number of customers who live in urban areas is 120 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
Choices:
55,000
60,000
65,000
70,000
Answer: A
Question: The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 900 per sq. metre.
Choices:
s. 19,800
s. 16,500
s. 17,600
s. 17,900
Answer: A
Question: In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 12 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
4
5
6
7
Answer: B
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
Choices:
10%
90%
80%
20%
Answer: A
Question: Rs.1690 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
s.542
s.780
s.540
s.549
Answer: B
Question: Three unbiased coins are tossed. What is the probability of getting at most two heads?
Choices:
7/8
3/8
5/6
9/11
Answer: A
Question: A test has a mean of 110 and a standard deviation of 5, find the corresponding x score for: a) a test score of 116?
Choices:
A)6/5
C)5
D)5.6
E)7
Answer: A
Question: 8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 13th and the 20th terms?
Choices:
335
346
357
368
Answer: C
Question: The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
56 cm2
18 cm2
98 cm2
50 cm2
Answer: D
Question: A train 440 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
41.33 sec
42.33 sec
40 sec
44.33 sec
Answer: A
Question: The area of a triangle will be when a = 5m, b = 7m, c = 8m, a, b, c being lengths of respective sides?
Choices:
6
4
9
10
Answer: D
Question: If p and q are two different prime numbers, which of the following cannot be true?
Choices:
p + q is even.
p + q is odd.
pq is even.
p/q is an integer
Answer: D
Question: Maney bought shares for a total value of $1000. Next day, the price of shares is reduced by 10%. With the same $1000, he could now buy 10 more shares. Which of the following is closest to the original price per share?
Choices:
$11
$12
$13
$14
Answer: A
Question: The closest approximation of W(69.28 × 0.004)/0.03 is
Choices:
0.92
9.2
92
920
Answer: B
Question: Simplify: 99^48/49 * 245.
Choices:
26695
24495
25575
None of them
Answer: B
Question: If x and y are integers and x=50y + 59, which of the following must be odd?
Choices:
x +2y
x + y
3x-1
3x+1
Answer: A
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Choices:
Rs.429
Rs.480
Rs.408
Rs.428
Answer: B
Question: The diagonal of a rhombus are 62 m and 80 m. Its area is:
Choices:
2480
2460
2500
1980
Answer: A
Question: What is the value of 10^6 - 6^4?
Choices:
9,97,322
9,98,704
9,98,851
9,98,900
Answer: B
Question: There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of $ 12,000 after 3 years at the same rate?
Choices:
#3120
$3972
$6240
NONE OF THESE
Answer: B
Question: When 1/10 percent of 2,000 is subtracted from 1/10 of 2,000, the difference is
Choices:
1998
198
200
20
Answer: B
Question: The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 25%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
77.78
48
65
67.5
Answer: A
Question: A single discount equivalent to the discount series of 20%, 15% and 8% is?
Choices:
37.4
31.6
31.3
31.1
Answer: A
Question: Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 2 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?
Choices:
1.5
3.75
5
7.5
Answer: A
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 200-gram mixture, 50 grams of pure milk is added, what would be the percentage of milk in the resulting mixture?
Choices:
84%
86%
87%
88%
Answer: A
Question: On multiplying a number X by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.
Choices:
107375
108385
109395
105355
Answer: C
Question: A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
32
26
21
14
Answer: A
Question: The cost price of a radio is Rs.2400 and it was sold for Rs.1980, find the loss %?
Choices:
17%
22%
24%
21
Answer: A
Question: 107 Ã— 107 + 93 Ã— 93 = ?
Choices:
20098
20000
20088
20085
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^2-12y+32=0
Choices:
If x>=y
If x < y
If X<= Y
x=y or relationship cannot be established
Answer: C
Question: The smallest prime number is:
Choices:
6
3
4
2
Answer: D
Question: Jonathan can type a 30 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Choices:
10 minutes
15 minutes
18 minutes
20 minutes
Answer: A
Question: In how many years Rs 200 will produce the same interest at 10% as Rs. 1000 produce in 2 years at 12%
Choices:
9
11
12
10
Answer: C
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 60,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
Choices:
$ 320,000
$ 360,000
$ 480,000
$ 540,000
Answer: C
Question: A invested some money in 8% stock at 96.If B wants to invest in an equally good 10% stock ,he must purchase a stock worth of :
Choices:
Rs. 120
Rs. 128
Rs. 130
Rs. 140
Answer: A
Question: The fourth proportional to 18, 14 and 18 is?
Choices:
14
77
88
99
Answer: A
Question: 17200 x 223 + 17200 x 77 = ?
Choices:
2738800
2658560
5160000
None of them
Answer: C
Question: Aishwarya was first to board to her flight to delhi.
She forgot her seat number and picks a random seat for herself.
After this, every single person who get to the flight sits on his seat if its available else chooses any available seat at random.
Abhishek is last to enter the flight and at that moment 99/100 seats were occupied.
Whats the probability what Abhishek gets to sit in his own seat ?
Choices:
1/2
3/2
2/2
5/2
Answer: A
Question: A person want to give his money of $15800 to his 4 children A,B,C,D in the ratio 5:9:6:5. What is the A+C share?
Choices:
$2890
$3005
$6952
$6003
Answer: C
Question: Pipe A can fill a tank in 3 hours, pipe B in 4 hours, and pipe C in 12 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
1.3
1.5
1.7
1.9
Answer: B
Question: If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.68 per litre then what is the rate of mixed oil per litre?
Choices:
Rs.51.03
Rs.56
Rs.55.33
None of the above
Answer: B
Question: The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
Choices:
28779
27677
13500
17971
Answer: C
Question: Ashley and Betty start a business with $9000 each, and after 3 months, Betty adds another $5000. How should they share the profits at the end of the 24 months?
Choices:
72:107
17:23
3:4
68:95
Answer: A
Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
2 1/3 hours
2 1/5 hours
2 9/2 hours
2 1/2 hours
Answer: D
Question: The profit earned by selling an article for 872 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
Choices:
990
1,200
920
None of these
Answer: A
Question: x is the product of each integer from 1 to 75, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?
Choices:
7
6
9
10
Answer: C
Question: Each of the numbers x1, x2...., xn, n > 4, is equal to 1 or –1.
Suppose, x1x2x3x4 + x2x3x4x5 + x3x4x5x6 + ... + xn–3xn–2xn–1xn + xn–2xn–1xnx1 + xn–1xnx1x2 + xnx1x2x3= 0, then,
Choices:
n is even
n is an odd multiple of 3.
n is prime
None
Answer: A
Question: A six faced die is so biased that it is twice as likely to show an even number as an odd. It is thrown twice. What is the probability that the sum of the numbers is even?
Choices:
2/3
5/9
6/11
5/11
Answer: B
Question: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
Choices:
97
109
178
112
Answer: C
Question: If the price has fallen by 12% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
11 1/5%
11 1/9%
13 7/11%
21 1/9%
Answer: C