antoine-444/aqua_rat_dataset huggingface dataset:
Question: A certain auto manufacturer sold 6% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
1,980,000
2,030,000
2,040,000
2,300,000
Answer: A
Question: If r is a positive integer and r^2 is divisible by 12, then the largest positive integer that must divide r ^3 is
Choices:
2^6
3^3
6^3
12^2
Answer: C
Question: If z is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of z?
Choices:
162
72
54
50!+2
Answer: A
Question: A certain quantity of 70% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Choices:
1/3
1/2
2/3
7/9
Answer: D
Question: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?
Choices:
Rs.58
Rs.54.17
Rs.55.33
None of the above
Answer: A
Question: If 6x^2 + x - 12 = (ax + w)(cx + d), then |a| + |w| + |c| + |d| =
For a complete solution and more practice problems, see this blog:
http://magoosh.com/gmat/2012/algebra-on ... to-factor/
Choices:
12
15
18
20
Answer: A
Question: The average age 20 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
99
77
40
12
Answer: C
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
75
90
100
Answer: C
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
5
6
8
9
Answer: B
Question: In traveling from a dormitory to a certain city, a student went 1/3 of the way by foot, 3/5 of the way by bus, and the remaining 2 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
30
60
90
120
Answer: A
Question: In measuring the sides of a rectangle, one side is taken 6% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
Choices:
2.4%
3%
5%
0.7%
Answer: D
Question: The number of new words that can be formed by rearranging the letters of the word 'goat' is?
Choices:
25
4
23
1
Answer: C
Question: The product of two numbers is 168 and the sum of their squares is 289. The sum of the number is?
Choices:
B)25
C)27
D)31
E)35
Answer: A
Question: Avg cost of 2 cakes and 3 cookies is Rs.30.The avg cost of 5 cakes and 7 cookies is Rs.72. Find the total cost of 30 cakes and 30 cookies?
Choices:
160
130
200
180
Answer: D
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choices:
384
443
324
534
Answer: A
Question: A+1/(B+1/(C+1/(D+1/E)))=1331/1000
what is the value of A*B*C*D*E ?
Choices:
842
843
844
846
Answer: D
Question: In Solution P, the proportion of water to alcohol is 5:2. In Solution Q, the proportion of water to alcohol is 3:2. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
Choices:
28%
31%
34%
37%
Answer: C
Question: At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 38 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 42 km/h. If the distance between City P and City Q is 378 km, at what time will the truck and the car meet each other?
Choices:
5:45
6:00
6:15
6:30
Answer: C
Question: If 5a= 3125, then the value of 5(a-3) is
Choices:
25
250
300
None
Answer: A
Question: Find the ratio in which rice at Rs. 7.00 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg
Choices:
6:7
2:1
2:2
2:8
Answer: A
Question: How many numbers greater than a thousand can be made using the following digits without repetition: 1, 0, 3, 4, and 5:
Choices:
96*2 IS ANSWER
576
24^2
24*96
Answer: A
Question: Which of the following equations represents a line that is perpendicular to y=1/3*x+2?
Choices:
2x+4y=10
3y+6x=12
4y−8x=16
5x−10y=20
Answer: C
Question: What is the remainder when 2676 * 1487 * 4459 is divided by 12
Choices:
3
12
9
27
Answer: A
Question: Walking at 4/5 of his usual speed a man is 10 mins too late. find his usual time.
Choices:
64 mins
52 mins
40 mins
None
Answer: C
Question: If P represents the product of the first 12 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 26
III. P is a multiple of 17
Choices:
II only
III only
None of the above
All of the above
Answer: A
Question: There are 7 stores in town that had a total of 21 visitors on a particular day. However, only 11 people went shopping that day; some people visited more than one store. If 7 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited?
Choices:
8
4
9
2
Answer: B
Question: A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
Choices:
12%
72%
82%
13%
Answer: A
Question: A certain car uses one gallon of gasoline every 40 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. When a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
Choices:
20%
22.5%
25%
50%
Answer: D
Question: The ratio of two quantities is 5 to 6. If each of the quantities is increased by 2, what is the ratio of these two new quantities?
Choices:
It cannot be determined from the information given.
6/15
7/16
8/17
Answer: A
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
28
40
27
12
Answer: B
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Choices:
2871 sq m
4312 sq m
1566 sq m
7177 sq m
Answer: B
Question: A company D has 30 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have?
Choices:
200
180
152
250
Answer: A
Question: Which of the following numbers has only one prime factor?
Choices:
19
22
30
32
Answer: A
Question: The average (arithmetic mean) of seven numbers is 12.2
If the sum of four of these numbers is 42.8, what is the average of the other 3 numbers?
Choices:
(b) 14.2
(c) 16.8
(d) 18.6
(e) 19.2
Answer: A
Question: The average of ten numbers is 7. If each number is multiplied by 12 ,then the average of new set of numbers is :
Choices:
29
27
84
19
Answer: C
Question: The prices of tea and coffee per kg were the same in May. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
Choices:
50
40
32
28
Answer: A
Question: How many prime factors in 25^10 * 36^10 * 20^10 ?
Choices:
90
70
60
50
Answer: A
Question: The greatest common factor of two positive integers is F. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?
Choices:
FY⁄Z
X⁄Z + Y
X + Y⁄Z
X + Z⁄Y
Answer: A
Question: Two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph. In what time will they cross each other completely?
Choices:
8.1 sec
8.3 sec
8.2 sec
8.4 sec
Answer: A
Question: The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 20 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
Choices:
$222
$211
$220
$215
Answer: A
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
16 2/3%
16 4/3%
76 2/3%
66 2/3%
Answer: B
Question: Dean Winchester has got a long wooden stock of size 60 feet, he need to cut small stock of size 1 feet long using his axe.
He takes 5 minutes to cut one small stock (1 feet), how long will he take to make 60 such small stocks?
Choices:
297 minutes.
295 minutes.
294 minutes.
None
Answer: B
Question: If each edge of cube increased by 20%, the percentage increase in
Choices:
44
48
45
47
Answer: A
Question: A total of 550 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.
Choices:
512
549
255
1023
Answer: B
Question: O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(11.6) + E(–10.4) + o(–9.2) + e(9.5) is:
Choices:
-1
0
1
3
Answer: B
Question: After M students took a test, the average score was 66%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 68%?
Choices:
M+34
0.66M+0.68
0.33M+34
3M-33
Answer: A
Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 25% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 135 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Choices:
20
30
40
80
Answer: D
Question: Express a speed of 54 kmph in meters per second?
Choices:
18 mps
15 mps
17 mps
12 mps
Answer: B
Question: A completes a work in 10 days and B complete the same work in 15 days. If both of them work together, then the number of days required to complete the work will be
Choices:
6 days
10 days
12 days
13 days
Answer: A
Question: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
49
88
22
12
Answer: A
Question: Four people each roll a four die once. Find the probability that at least two people will roll the same number ?
Choices:
13/18
13/11
13/19
13/12
Answer: A
Question: In a consumer survey, 80% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
10
15
20
25
Answer: B
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 153, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
Choices:
27
55
77
88
Answer: A
Question: If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (3 Ø 1) Ø 1 = ?
Choices:
4
8
16
32
Answer: B
Question: A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition.
Choices:
87.8%
37.8%
87.7%
22.8%
Answer: A
Question: A can run 1 km in 3 min. 10 sec. and B can cover the same distance in 3 min. 20 sec. By what distance can A beat B ?
Choices:
50 m
96 m
23 m
13 m
Answer: A
Question: Michael earns $7.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. If Michael earned $320 last week, how many hours did he work?
Choices:
43
45
46
47
Answer: A
Question: At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Johanna, Jamal, Brianna, and Dyson get lockers with the numbers 300, 400, 150, and 420, respectively, who is the most popular student?
Choices:
Jamal
Brianna
Dyson
They have equal popularity
Answer: C
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. Find the distance light travels in 100 years?
Choices:
587 × 10-12 miles
587 × 1010 miles
587 × 10-10 miles
587 × 1012 miles
Answer: A
Question: If an object travels at ten feet per second, how many feet does it travel in one hour?
Choices:
300
720
1800
36000
Answer: D
Question: Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
Choices:
80%
100%
180%
200%
Answer: B
Question: What is the rate percent when the simple interest on Rs.900 amount to Rs.160 in 4 Years?
Choices:
7%
9%
4.4%
4%
Answer: C
Question: A school having four classes only have student strength of 10, 50, 30 and 10 respectively. The pass percentages of these classes are 20%, 30%, 60% and 100% respectively. What is the pass percentage for the entire school?
Choices:
76%
34%
66%
45%
Answer: D
Question: The simple form of the ratio 2/3:2/5 is
Choices:
5:2
5:9
5:3
5:4
Answer: C
Question: In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-nine students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Choices:
10
15
8
7
Answer: B
Question: What is the place value of 7 in the numeral 2734?
Choices:
460
480
500
700
Answer: D
Question: SI on a certain sum of money for 3 yrs at 8 percent /annum is 1/2 the CI on Rs.4000 for 2 yrs at 10 percent/ annum. The sum placed on SI is?
Choices:
Rs. 1700
Rs. 1750
Rs. 1950
Rs. 1980
Answer: B
Question: A retailer bought a hat at wholesale and marked it up 70% to its initial price of $34. By how many more dollars does he need to increase the price to achieve a 100% markup?
Choices:
4
6
8
10
Answer: B
Question: There are 6 books on a shelf, of which 2 are paperbacks and 4 are hardbacks. How many possible selections of 4 books from this shelf include at least one paperback?
Choices:
b) 14
c) 50
d) 55
e) 60
Answer: A
Question: If you are given $2, and the amount doubles every day, how much money will you have after 12 days?
Choices:
$512
$1024
$2048
$4096
Answer: D
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Choices:
-33
32
-31
24
Answer: A
Question: In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Choices:
5 km/hr
50 km/hr
20 km/hr
25 km/hr
Answer: A
Question: The wages earned by Robin is 30% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
Choices:
23%
30%
50%
100%
Answer: A
Question: In a certain lottery, the probability that a number between 1 and 15, inclusive, is drawn is 1/3 . If the probability that a number 1 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 15 is drawn?
Choices:
2 by 3
1/4
1/6
2/5
Answer: A
Question: When positive integer x is divided by 8, the quotient is y and the remainder is 2. When 2x is divided by 7, the quotient is 2y and the remainder is 4. What is the value of 6y – x?
Choices:
1
-2
2
-3
Answer: B
Question: If the range of the set of numbers {140, 90, 135, 110, 170, 145, x, 100, 140} is 100, which of the following could be x?
Choices:
190
210
230
250
Answer: A
Question: Sum of two numbers is 50. Two times of the difference of first and seceond is 20. Then the numbers will be?
Choices:
20, 30
35, 15
30, 20
15, 35
Answer: C
Question: B, C and D invested Rs.6400, Rs.1600 and Rs.2400 respectively, in a partnership business. Find the share of D in profit of Rs.26000 after a year?
Choices:
6300
6100
6000
6200
Answer: C
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
Choices:
Rs.10,500, Rs. 13,500, Rs. 16,500
Rs.10,500, Rs. 13,500, Rs. 16,560
Rs.10,500, Rs. 13,500, Rs. 16,509
Rs.10,500, Rs. 13,503, Rs. 16,501
Answer: A
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
1/3
1/8
1/7
1/1
Answer: A
Question: Jerry had an average score of 85 on his first eight quizzes. He had an
average score of 81 on his first nine quizzes. What score did he receive on
his ninth quiz?
Choices:
49
53
55
57
Answer: A
Question: E is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of E, and y is the minimum value of the sum of k distinct members of E, what is x + y?
Choices:
kn + k^2
kn + 2k^2
2kn – k^2
2kn
Answer: D
Question: Johnny bought six peanut butter cans at an average price (arithmetic mean) of 36.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 30¢, then what is the average price, in cents, of the two returned peanut butter cans?
Choices:
11
47.5
66
49.5
Answer: D
Question: What is difference between biggest and smallest fraction among 2/5, 3/4, 4/5 and 5/6
Choices:
3/5
1/6
1/7
None of these
Answer: D
Question: In how many ways can 5 boys be allotted four different sofas such that none of the sofas are empty and all the 5 boys are accommodated?
Choices:
290
280
260
240
Answer: D
Question: There are 9 books on a shelf that consist of 2 paperback books and 7 hardback books. If 5 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
Choices:
95
105
115
125
Answer: B
Question: Power saving (in %) of a bulb is directly proportional to square root of its efficiency. By how much % is power saving of bulb-1(efficiency 0.8) greater than power saving of bulb-2 (efficiency 0.2)?
Choices:
70%
80%
90%
100%
Answer: D
Question: The speed at which a man can row a boat in still water is 18 kmph. If he rows downstream, where the speed of current is 6 kmph, what time will he take to cover 100 metres?
Choices:
18 seconds
26 seconds
14.99 seconds
6 seconds
Answer: C
Question: By selling 14 pencils for a rupee a man loses 22%. How many for a rupee should he sell in order to gain 22%?
Choices:
10
7
6
4
Answer: A
Question: A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 8 Gallons of water and 16 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
Choices:
120
100
150
175
Answer: A
Question: The distance between towns A and B is 300 km. One train departs from town A and another train departs from town B, both leaving at the same moment of time and heading towards each other. We know that one of them is 10 km/hr faster than the other. Find the speeds of both trains if 2 hours after their departure the distance between them is 40 km.
Choices:
27
236
90
81
Answer: C
Question: In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 4 out of 6 consecutive days in Rwanda?
Choices:
3/7
15/64
4/28
28/135
Answer: B
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 72 km/hr. What is the length of the platform?
Choices:
188
177
260
320
Answer: D
Question: Divide $500 among Y,Z in the ratio 2:8. How many $ that Z get?
Choices:
$200
$300
$500
$400
Answer: D
Question: A certain bag of gemstones is composed of two-thirds diamonds and one-third rubies. If the probability of randomly selecting two diamonds from the bag, without replacement, is 5/12, what is the probability of selecting two rubies from the bag, without replacement?
Choices:
5/24
1/12
1/6
1/4
Answer: B
Question: A set of numbers has the property that for any number t in the set, t - 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. -5
II. 11
III. 6
Choices:
I only
I and II only
II and III only
I, II, and III
Answer: A
Question: At exactly what time past 9:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Choices:
20 13/17 minutes past 7:00
21 3/23 minutes past 7:00
21 9/11 minutes past 9:00
22 4/9 minutes past 7:00
Answer: C
Question: Three numbers are in the ratio 3:5:7. The largest number value is 63. Find difference between Smallest & largest number is?
Choices:
24
30
34
36
Answer: D
Question: Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 16, 10, and 20 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
Choices:
10/3
12/5
15/7
18/11
Answer: B
Question: Boy purchased two flats for Rs.5,00,000. On one he gains 15 % while on the other he losses 15%. How much does he gain or lose?
Choices:
2.10%
2.25%
2.30%
2.34%
Answer: B
Question: A person is traveling at 35km/hr and reached his destiny in 5hr find the distance?
Choices:
B)95km
C)175km
D)80km
E)125km
Answer: B
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/3 sec
40/3 sec
60/3 sec
90/3 sec
Answer: B
Question: Find the value of x from the below equation? : 3x^2+5x+2 = 0
Choices:
-1
-2
2
-3
Answer: A
Question: A sum of money place at compound interest doubles itself in 5 years. In how many years will it amount to eight times itself?
Choices:
15 years
12 years
18 years
19 years
Answer: A
Question: A software programmer does 10% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
Choices:
15x/15
7x/15
2x/30
13x/30
Answer: B
Question: On flipping 3 coins together what is the outcomes for exactly one head and one tail?
Choices:
{HHT, HTH, THH, TTH, THT, TTT}
{HHT, HTH, THH, TTH, THT, HTT}
{HHT, HTH, THH, TTH, THT, TTT}
None
Answer: B
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 67?
Choices:
69
136
68^2
68·69
Answer: B
Question: A work which could be finished in 11 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
20
88
71
12
Answer: D
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
Choices:
12 1/2 years
12 1/5 years
12 6/2 years
13 1/2 years
Answer: A
Question: In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
14
16
18
Answer: A
Question: A shoe store sells Adidas shoes for $60 each and Puma shoes for $50 each. On every Adidas shoe the restaurant makes a profit of $10 while on every Puma shoe it makes a profit of $8. If on a given day the storest's sales amounted to $1600, which of the following cannot be the profit made on that day?
Choices:
260
258
256
254
Answer: D
Question: The price of 357 mangoes is Rs. 1517.25. What will be the approximate price of 49 dozens of such mangoes?
Choices:
Rs.2500
Rs 2700
Rs 2900
None of these
Answer: A
Question: Suraj has a certain average of runs for 16 innings. In the 17th innings he scores 92 runs thereby increasing his average by 4 runs. What is his average after the 17th innings?
Choices:
64
28
72
27
Answer: B
Question: The length of a fabric needed for a dress is cut into two pieces. If the total length of the fabric is 200 inches and the shorter side is 10 inches less than half the length of the other fabric, what is the length of the shorter fabric?
Choices:
60
400
200
80
Answer: A
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Choices:
10 years
14 years
16 years
18 years
Answer: A
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 6. 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:
3, 8, 24
6, 9, 12
5, 15, 18
9, 10, 13
Answer: A
Question: A hiker walked for 3 days. She walked 21 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
Choices:
73
58
60
62
Answer: A
Question: A shopkeeper purchased 85 kg of potatoes for Rs. 1105 and sold the whole lot at the rate of Rs. 15 per kg. What will be his gain percent?
Choices:
16 9/3 %
14 1/3 %
12 1/3 %
15 5/13 %
Answer: D
Question: The old lady who lived in a shoe was having some real trouble buying Christmas presentsfor her enormous family. Although she bought the least expensive stocking stuffers she couldfind, the bill was high. Of course, both a 15 percent sales tax and a 5 percent luxury tax wereadded to the original price. She paid a total of Rs.100. What was the cost of the stuffers before taxes?
Choices:
83.333rupees
84.333rupees
85.333rupees
86.333rupees
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 9 years hence?
Choices:
77
78
98
71
Answer: B
Question: x and y are positive integers of h. If 1/x + 1/y < 2, which of the following must be true?
Choices:
xy>1
x/y + y/x < 1
(x - y)^2 > 0
None of the above
Answer: A
Question: Find the odd man out. 24,36,52,72,96
Choices:
52
36
24
34
Answer: A
Question: 20. A certain church bell rings the bell twice at half past the hour and four
times at the hour plus an additional number of rings equal to what ever
time it is. How many rings will the clock make from 6:20 in the morning
to 08:10 in the morning?
Choices:
27
42.
46.
50.
Answer: A
Question: Ben left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
Choices:
200
266
267
600
Answer: C
Question: When the integer p is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2p
II. 6p
III. 4p + 6
Choices:
II only
III only
I and II only
I, II, and III
Answer: D
Question: A merchant sells an item at a 10% discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?
Choices:
30%
50%
60%
75%
Answer: A
Question: There are 13 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
Choices:
14/39
12/31
9/23
7/17
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?
Choices:
112 sq.cm
116 sq.cm
120 sq.cm
NONE OF THESE
Answer: C
Question: A dozen eggs and 10 pounds of apples are currently at the same price. If the price of a dozen eggs rises by 10 percent and the price of apples rises by 2 %. How much more will it cost to buy a dozen eggs and 10 pounds of apples.
Choices:
6%
10%
12%
12.2%
Answer: A
Question: A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 50,000 and at the same time n is a perfect square and a perfect cube?
Choices:
4
5
6
7
Answer: C
Question: (4+√3+√5)^2-(√3+√5)^2=?
Choices:
16+8√3+8√5
1-√3+√5
1+√3-√5
√3+√5
Answer: A
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
Choices:
54.68
55
56
None of these
Answer: A
Question: A sock drawer contains two socks, each one a different solid color. The colors of the socks are Indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?
Choices:
240
1,024
2,520
2
Answer: D
Question: A car was initially traveling at an average speed of 36 miles per hour. During each of ten successive 5-minute intervals, the car decreased its average speed by 2 miles per hour. How many miles did the car travel in the fourth 5-minute interval?
Choices:
5.32
4.56
2.33
1.44
Answer: C
Question: The average of 7 consecutive numbers is 20. The largest of these numbers is
Choices:
22
23
24
25
Answer: B
Question: A combustion reaction forms carbon dioxide. A carbon dioxide molecule contains one carbon and two oxygen atoms. If, over a period of 15 minutes, a combustion reaction creates 15,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
Choices:
1,000
250
50
0
Answer: A
Question: Two dice are tossed. The probability that the total score is a prime number is:
Choices:
5/12
1/2
7/9
9/4
Answer: D
Question: Twenty four men can do a work in 14 days. How many men are required to complete the work in 10 days?
Choices:
33.6
50
14.2
60
Answer: A
Question: In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards Q will he need to gain this Sunday if he wants to keep his season average above 100 yards?
Choices:
116
130
Q=131
Q=141
Answer: C
Question: Boy sells a book for Rs. 540 he gets a loss of 10 %, To gain 10%, what should be the SP?
Choices:
450
550
590
660
Answer: D
Question: Three unbiased coins are tossed. What is the probability of getting 1 heads and 1 Tail?
Choices:
1/4
3/8
7/8
1/8
Answer: A
Question: Starting with the initial speed of 30 km/hr, the speed is increased by 4 km/hour every two hours. How many hours will it take to cover a distance of 288 km?
Choices:
6
12
8
None of these
Answer: C
Question: There are between 140 and 150 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Choices:
143
145
147
149
Answer: D
Question: A is twice as good a workman as B and together they finish a piece in 18 days. In how many days will A alone finish the work?
Choices:
3 days
12 days
27 days
18 days
Answer: C
Question: List R contains five numbers that have an average value of 50. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Choices:
22
26
30
34
Answer: A
Question: Set Q consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set Q by 50, set Y is derived by multiplying each term in set Q by 1.5, and set Z is derived by dividing each term in set Q by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
Choices:
X, Z, Y
Y, Z, X
Y, X, Z
Z, Y, X
Answer: C
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago?
Choices:
10
9
14
16
Answer: B
Question: A and B started a business by investing Rs.4000/- and Rs.5000/- respectively. Find the A’s share out of a total profit of Rs.1800:
Choices:
Rs.660/-
Rs.800/-
Rs.820/-
Rs.840/-
Answer: B
Question: There are 6 people and 3 chairs. In how many different ways people can occupy the chairs?
Choices:
340
350
360
370
Answer: C
Question: How many 3 digit integers can be chosen such that none of the digits appear more than twice and none of the digits equal zero ?
Choices:
720
648
640
57
Answer: A
Question: Before 4 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?
Choices:
42
52
60
64
Answer: B
Question: A certain number X when divided by 223 leaves a remainder of 93. Which of the following can be subtracted from X to make X divisible by 85?
Choices:
27
37
47
71
Answer: D
Question: If x + y = 9 and x – y = 3, then x^2 - y^2 =
Choices:
4
10
27
40
Answer: C
Question: If candy bars that regularly sell for $0.40 each are on sale at two for $0.75, what is the percent reduction in the price of two such candy bars purchased at the sale price?
Choices:
6 1/4 %
6 2/3 %
8%
12 %
Answer: A
Question: What is the units digit of the expression 14^7−18^4?
Choices:
3
4
6
8
Answer: D
Question: The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.
Choices:
14 years
24 years
29 years
None
Answer: A
Question: The present ages of three persons in proportions 2 : 2 : 6. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
16, 16,48
20, 35, 45
18, 24, 32
None of these
Answer: A
Question: Find the sum of first 100 odd numbers
Choices:
2005
10000
5800
4960
Answer: B
Question: A can do a piece of work in 5 days, and B can do it in 6 days. How long will they take if both work together?
Choices:
2 8/11
2 8/7
2 8/18
2 8/112
Answer: A
Question: Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 5.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Choices:
15/14
4/5
42/55
Cannot be determined
Answer: C
Question: By looking at a rectangular box, a carpenter estimates that the length of the box is between 2 to 2.1 meters, inclusive, the breadth is between 1 to 1.1 meters, inclusive and the height is between 2 to 2.1 centimeters, inclusive. If the actual length, breadth and height of the box do indeed fall within the respective ranges estimated by the carpenter, which of the following is the closest to the maximum possible magnitude of the percentage error Q that the carpenter can make in calculating the volume of the rectangular box?
Choices:
3%
10%
18%
22%
Answer: D
Question: A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $750?
Choices:
$3,150
$4,000
$4,150
$5,000
Answer: B
Question: Y and Z start a business with Rs.8000 and Rs.12000 respectively. Hoe should they share their profits at the end of one year?
Choices:
2:1
3:1
2:5
2:3
Answer: D
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 31.5 kg of zinc has been consumed in it?
Choices:
60 kg
64 kg
70 kg
None
Answer: C
Question: In how many ways Chief Minister and Minister be elected from a team of 16 members?
Choices:
240
220
200
180
Answer: A
Question: Using all the letters of the word "SOME", how many words can be formed, which begin with S and end with E?
Choices:
2
4
5
6
Answer: A
Question: In 140 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Choices:
28 m
22.5 m
9 m
12 m
Answer: A
Question: If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital. Determine that out of a total profit of Rs 4650 what is C’s share?
Choices:
Rs 1550
Rs 450
Rs 900
None of these
Answer: C
Question: If the quantity (p + 5) is 5 times the quantity (q + 5), then what is the relationship between p and q?
Choices:
p = 5q − 30
5p = 5q + 20
p = 5q
p = 5q − 20
Answer: B
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 conveyance.if he has Rs.1400 left with him,find his expenditure on food and conveyance.
Choices:
1000
3000
4000
5000
Answer: A
Question: At a conference table, 8 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 8 employees?
Choices:
5050
5060
5040
5030
Answer: C
Question: A circular mat with diameter 7 inches is placed on a square tabletop, each of whose sides is 8 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
4/9
5/2
5/3
1/7
Answer: B
Question: The value of x + x(xx) when x = 5 is:
Choices:
130
12
14
16
Answer: A
Question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
8 1/3
8 1/6
8 1/2
8 1/7
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Choices:
24
26
27 7/9
28
Answer: C
Question: A train 500 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50 km/hr
54 km/hr
55 km/hr
185 km/hr
Answer: D
Question: 252 Ã· ? Ã— 15 + 270 = 405
Choices:
25
28
39
43
Answer: B
Question: In a group of 100 adults, 50 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
Choices:
52
54
60
76
Answer: D
Question: Free notebooks were distributed in a class among all the students. Each student got notebooks which were 1/8th of the number of student. If number of student been half, then each child would have received 16notebooks in total. Find the total number of books distributed among students?
Choices:
450
460
480
512
Answer: D
Question: A fair 2 sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 4 times?
Choices:
25/32
17/8
57/64
15/16
Answer: A
Question: A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 1/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.
Choices:
200
250
150
160
Answer: B
Question: Worker A takes 5 hours to do a job. Worker B takes 15 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
15/4
50/9
60/9
80/9
Answer: A
Question: An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference Z between the highest and the lowest incentive received by the 5 salesmen in the month?
Choices:
$5000
$9000
$11,000
$13,000
Answer: C
Question: The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
Choices:
40 m2
60 m2
80 m2
90 m2
Answer: B
Question: A manufacturer of a certain type of screw rejects any screw whose length is less than 2.5 — 0.03 centimeters or greater than 2.53 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable?
Choices:
|k — 0.03| <= 2.5
|k — 2.5| > 0.03
|2k — 5| <= 0.06
|k — 2.5| >= 0.09
Answer: C
Question: A letter lock consists of three rings each marked with seven different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Choices:
199
342
168
167
Answer: B
Question: Lee Colle insures its students for thefts up to $1000. The college makes no profit but sets the premium to cover administrative costs of 10% on average claim of $120. If the annual premium per students is 24$. What is the expected number of thefts per 100 students per year?
Choices:
14
16
18
20
Answer: C
Question: There has been successive increases of 25% and then 10% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change?
Choices:
27%
31%
35%
39%
Answer: A
Question: A vessel of capacity 2 litre has 35% of alcohol and another vessel of capacity 6 litre had 50% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choices:
71%.
49%.
29%.
37%.
Answer: D
Question: Tough and Tricky questions: Functions. Let a be a positive integer. Let n#a equal n^(2a) if a is odd and n^(a) if a is even. Then (2#3) + (3#2) – (3#3) is equal to
Choices:
-656
128
512
1522
Answer: A
Question: If x and y are positive integers and (5^x)−(5^y)=(2^y−1)∗(5^x−1), what is the value of xy?
Choices:
36
24
18
12
Answer: D
Question: Find the invalid no.from the following series 15, 16, 34, 105, 424, 2123, 12756
Choices:
34
105
424
2123
Answer: D
Question: If the simple interest on a sum of money for 5 years at 18% per annum is Rs. 900, what is the compound interest on the same sum at the rate and for the same time?
Choices:
Rs. 1287.76
Rs. 1587.76
Rs. 1266.76
Rs. 1283.76
Answer: A
Question: If x = -12/5 and y = -6/7, what is the value of the expression -2x – y^2?
Choices:
456/789
636/735
564/263
-636/735
Answer: B
Question: What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
Choices:
120
277
2898
212
Answer: A
Question: If grapes are 92% water and raisins are 20% water, then how many kilograms did a quantity of raisins, which currently weighs 5 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choices:
50
55
56
60
Answer: A
Question: In a vehicle's repair shed, 3 men and 8 boys can do a piece of work in 15 days; 4 men and 9 boys can do the same work in 12 days. Then, 5 men and 5 boys can do double the amount of this work in :
Choices:
33 days
24 days
28 days
None of these
Answer: B
Question: A bag contains 20 purple jellybeans, 18 green jellybeans, and 12 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
Choices:
20%
25%
30%
36%
Answer: D
Question: consider a sequence of numbers is such that a1 = 11, a2 =16, and each subsequent an = an-2 + 9. Which of the following numbers is a member of the sequence?
Choices:
246
289
299
368
Answer: C
Question: Mr. Yutaro’s class contains 10 boys and 6 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
Choices:
9/20
11/24
27/48
1/2
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 12 days, then B alone can do the same work in?
Choices:
68 days
24 days
97 days
17 days
Answer: B
Question: The cost of an item was reduced from its usual selling price of $23.99 to $19.99. Which of the following is closest to the percent decrease in the price of the item?
Choices:
17%
24%
25%
42%
Answer: A
Question: In how many different number of ways 1 boy and 4 girls can sit on a bench?
Choices:
120
160
180
200
Answer: A
Question: What is the difference between the local values of 6 in the number 56406?
Choices:
2997
5994
2077
5211
Answer: B
Question: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
Choices:
5 5/9 %
5 8/9 %
1 5/9 %
5 3/9 %
Answer: A
Question: A bucket contains 2 mixtures A and B in the ratio 7:5. If 9 liters of the mixture is replaced by 9 liters of liquid B, then the ratio of the two liquids becomes 7:9. How much of the liquid A was there in the bucket?
Choices:
21liters
12liters
18liters
25liters
Answer: A
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Choices:
13 1/3 days
19 1/3 days
11 1/3 days
12 1/3 days
Answer: A
Question: The largest number that exactly divides each number of the sequence
(15 - 1), (25 - 2), (35 - 3), ...., (n5 - n), ...... is
Choices:
15
30
120
None
Answer: B
Question: f two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Choices:
1/2
1/1
1/5
1/8
Answer: A
Question: There are 34 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Choices:
367
361
497
561
Answer: D
Question: Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is:
Choices:
Rs.4250
Rs.4227
Rs.4218
Rs.4219
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
5
7
4
32
Answer: A
Question: For which of the following values of s is (60+s)/s an integer?
Choices:
4
9
11
60
Answer: D
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3/5 of its present?
Choices:
41.66667
63.5
62.5
64.5
Answer: A
Question: The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:
Choices:
Rs. 760
Rs. 840
Rs. 1020
Rs. 1615
Answer: C
Question: The ratio of the volumes of two cubes is 27 : 64. What is the ratio of their total surface areas?
Choices:
12:18
9:16
8:2
4:2
Answer: B
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
57%
60%
65%
68%
Answer: A
Question: What is 82% of 3/4?
Choices:
69.0
0.6845
0.6859
0.615
Answer: D
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Choices:
287
400
288
171
Answer: B
Question: A bag contains 5 red, 4 blue and 3 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/21
5/33
3/29
4/27
Answer: B
Question: City X has a population 6 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
Choices:
1:4
2:1
4:1
12:1
Answer: D
Question: The average of first 10 prime numbers is?
Choices:
12.2
12.9
12.1
12.6
Answer: B
Question: If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. c is even
II. ab is even
III. ab > 0
Choices:
II only
I and II
I and III
I, II, and III
Answer: A
Question: What is 15 percent of 54?
Choices:
8.1
9.5
10.2
11.6
Answer: A
Question: What is the remainder when 103 * 505 * 607 is divided by 9
Choices:
18
2
4
7
Answer: D