antoine-444/aqua_rat_dataset huggingface dataset:
Question: Sharron bakes 6 cookies for 6 friends. 2 of the friend arrive early and eat 3 cookies each. How many cookies are left over if the other friends all have the same number of cookies?
Choices:
2
3
4
5
Answer: A
Question: A trader sells 30 meters of cloth for Rs. 4500 at the profit of Rs. 10 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
Rs. 185
Rs. 140
Rs. 295
None of these
Answer: B
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
480
772
662
188
Answer: A
Question: What is the average (arithmetic mean) of all multiples of 10 from 10 to 600 inclusive?
Choices:
195
305
205
210
Answer: B
Question: A man bought a computer at 30% discount on its original price. He sold it at a 520% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
2%
3%
4%
5%
Answer: D
Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Choices:
2526
2522
2722
2426
Answer: B
Question: The speed of a boat in still water in 26 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 20 minutes is:
Choices:
10.66 km
11.4 km
11.22 km
12 km
Answer: A
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5
4/6
4/2
4/1
Answer: A
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Choices:
360
365
735
345
Answer: A
Question: The average age of A, B and C is 26 years. If the average age of A and C is 29 years, what is the age of B in years ?
Choices:
35
20
32
21
Answer: B
Question: If -1<= x <= 2 and 3 <= y <= 8, which of the following represents the range of all possible values of y-x?
Choices:
1 <= y-x <= 5
1 <= y-x <= 6
1 <= y-x <= 9
1 <= y-x <= 10
Answer: C
Question: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
Choices:
9
5
8
4
Answer: A
Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 100. How much did he have with him in the beginning?
Choices:
Rs 250
Rs 300
Rs 450
Rs 550
Answer: A
Question: A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
Choices:
28 years
29.3 years
28.8 years
29 years
Answer: C
Question: The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Steve and Danny have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
Choices:
$0.40
$0.45
$0.48
$0.54
Answer: A
Question: 6 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
20
30
33
34
Answer: B
Question: Jim is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be Canola oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Jim accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be Canola oil?
Choices:
15/29
5/16
1/2
13/27
Answer: A
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 57.76, the number of the member is the group is:
Choices:
76
77
87
97
Answer: A
Question: The sum of the squares of three numbers is 100, while the sum of their products taken two at a time is 48. Their sum is:
Choices:
30
40
50
None of these
Answer: D
Question: Find the value of 72519 x 9999 = m?
Choices:
355797990
435453490
725117481
873430134
Answer: C
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. The children CEF have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
720
1440
4320
4800
Answer: A
Question: A man gets a simple interest of Rs.200 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Choices:
Rs.102.5
Rs.5012.50
Rs.5062.50
None of these.
Answer: A
Question: Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 5, what is the probability that one of the two cards drawn is numbered 3 ?
Choices:
1/2
1/4
1/5
1/6
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45kmph. For how many minutes does the bus stop per hour?
Choices:
11
10
9
8
Answer: B
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Choices:
874
1076
1176
1267
Answer: B
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Choices:
Rs.10376
Rs.10456
Rs.10364
Rs.10500
Answer: D
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 420 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her five kids?
Choices:
9
3
21
10
Answer: C
Question: Akash leaves Chennai at 6am & reaches Bangalore at 10am. Prakash leaves Hyderabad at 8 am and reaches Chennai at 11:30 am. At what time do they cross each other?
Choices:
7 : 56am
8 : 56am
9 : 00am
9 : 15am
Answer: B
Question: If an integer n is to be selected at random from 1 to 100, inclusive, what is probability n(n+1) will be divisible by 8?
Choices:
1/4
1/2
2/3
3/4
Answer: A
Question: If x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y?
Choices:
5
6
8
9
Answer: B
Question: What is greatest positive integer n such that 2^n is a factor of 12^12?
Choices:
b)12
c)16
d)24
e)60
Answer: C
Question: A river 7m deep and 75 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
Choices:
32296.5
34996.5
34996.5
31255.5
Answer: B
Question: Express 20 mps in kmph?
Choices:
72
90
21
24
Answer: A
Question: Five different books (A, B, C, D and E) are to be arranged on a shelf. Books C and D are to be arranged first and second starting from the right of the shelf. The number of different orders in which books A, B and E may be arranged is
Choices:
3!
2!
3! * 2!
None
Answer: A
Question: Mike buys 3 cartons of eggs at the store. Each carton has 12 eggs. How many eggs does mike have?
Choices:
18
36
35
16
Answer: B
Question: 24 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Choices:
600
552
676
700
Answer: B
Question: 3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
48%
57%
59%
61%
Answer: A
Question: Which of the following number is divisible by 24 ?
Choices:
3125717
3125725
3125736
3125745
Answer: C
Question: In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Choices:
0.13
0.2
0.25
0.3
Answer: C
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Choices:
4:7
5:3
3:5
3:5
Answer: B
Question: A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 70, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Choices:
71
76
77
78
Answer: A
Question: 4400÷22÷10=?
Choices:
20
24
25
32
Answer: A
Question: If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y?
Please try to explain your answers
Choices:
25
50
75
100
Answer: D
Question: A car covers a distance of 640 km in 5 hours. Find its speed?
Choices:
288
271
276
128
Answer: D
Question: Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years.
Choices:
Rs 1052
Rs 1252
Rs 1352
None of these
Answer: A
Question: A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area Y covered by the two roads?
Choices:
1550
1575
1600
1625
Answer: B
Question: Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 5 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
Choices:
2/7 minutes
32/7 minutes
224/7 minutes
28 minutes
Answer: B
Question: Find the unit's digit in 264^102+264^103
Choices:
zero 0
2
4
5
Answer: A
Question: In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/4.
The probability of drawing a red ball is 1/5.
The probability of drawing a green ball is 1/10.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Choices:
7.
9.
10.
17.
Answer: B
Question: The average age of three boys is 20 years and their ages are in proportion 3:5:7. What is the age in years of the eldest boy?
Choices:
9
28
24
21
Answer: B
Question: If x is less than y by 25% then y exceed x by:
Choices:
33.33%
75%
66.66%
None of these
Answer: A
Question: The ratio 2 : 3 expressed as a percent equals
Choices:
40%
67%
125%
None
Answer: B
Question: Twenty percent of the women in a college class are science majors, and the non-science majors make up 60% of the class. What percentage of the men are science majors if 40% of the class are men?
Choices:
50%
60%
70%
80%
Answer: C
Question: The average student age of a certain class which has 30 students is 10. If one student aged 11 go to another class and the age of the class teacher is included the average changes to 11. What is the age of class teacher?
Choices:
41
45
48
50
Answer: A
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Choices:
90%
80%
10%
80%
Answer: B
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 10% Vermouth by volume. How many ounces of Gin must he add?
Choices:
n/3
3n/5
5n/6
8n/4
Answer: D
Question: Find out the C.I on Rs.7000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
B)Rs.427.45
C)Rs.428.45
D)Rs.429.45
E)Rs.430.45
Answer: B
Question: How much time will a train of length 420 m moving at a speed of 72 kmph take to cross another train of length 640 m, moving at 36 kmph in the same direction?
Choices:
99
88
76
106
Answer: D
Question: A car travels first 160 km at 90 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?
Choices:
84.7
71.1
71.17
71.13
Answer: A
Question: Employees of a certain company are each to receive a unique 10-digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are there?
Choices:
149,720
155,420
161,280
167,480
Answer: C
Question: Of the diplomats who attended a summit conference: 20 spoke French, 32 did not speak English and 20% of the diplomats spoke neither French nor English. If 10% of the diplomats spoke both French and English, then how many diplomats attended the conference?
Choices:
96
108
120
150
Answer: C
Question: The number of positive integer solutions for the equation x +y +z + t = 10 is
Choices:
74
84
54
104
Answer: B
Question: If two integers x, y (x>y) are selected from -10 to 5 (inclusive), how many possible cases are there?
Choices:
120
190
210
240
Answer: A
Question: Eight friends go to watch a movie but only 5 tickets were available. In how many different ways can 5 people sit and watch the movie?
Choices:
8*7*6*5*4
5!
8!/5!
8*5
Answer: A
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
Choices:
8 km/hr
9 km/hr
10 km/hr
7 km/hr
Answer: C
Question: sixty men can build a wall in 40 days.but they begin the work together,5 men quit after 10 day.the time needed to build the wall is
Choices:
42.72 days
46.72 days
48.72 days
62.72 days
Answer: A
Question: Which of the following numbers is not prime?
Choices:
494+97
159+159
322-5
121-11
Answer: B
Question: The sum of three from the four numbers A, B, C, D are 4024, 4087, 4524 and 4573. What is the largest of the numbers A, B, C, D?
Choices:
1712
1713
1714
1715
Answer: A
Question: A, B and C start a business each investing 20,000. After 5 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 69,900 was recorded. Find the share of B
Choices:
21,000
28,200
20,500
None of these
Answer: B
Question: If 15/x is an integer and 5/x is an integer, which of the following must be true? I. 4/x is an integer II. 18/x is an integer III. 5/x is an integer
Choices:
II only
II,III only
III only
I,II only
Answer: C
Question: A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio E of milk and water in the resultant mixture?
Choices:
9 : 1
3 : 17
5 : 3
11: 2
Answer: A
Question: If n is a positive integer, which of the following is a possible value of |61 - 5n|?
Choices:
14
12
15
20
Answer: A
Question: Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
Choices:
18
20
19
17
Answer: D
Question: Sinha and Mitra started a business by investing Rs.52000 and Rs.55000 respectively, after three months Mitra invested Rs.5000 more in the business. What is the share of Mitra in the half year profit of Rs.26280 ?
Choices:
Rs.13800
Rs.14200
Rs.13980
Rs.13860
Answer: A
Question: Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 3 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
Choices:
3 ≤ n ≤21
5 ≤ n ≤19
6 ≤ n ≤18
9 ≤ n ≤15
Answer: C
Question: If Logx (1 / 8) = - 3 / 2, then x is equal to
Choices:
4
5
6
7
Answer: A
Question: If a^x = b^5y, then
Choices:
log a/ log b = x/y
log a/ log b = 5y/x
log b/a = x/y
log b/a = y/x
Answer: B
Question: a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers W was deleted?
Choices:
b
c
d
e
Answer: B
Question: A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
Choices:
5
6
7
8
Answer: A
Question: When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements about n must be true?
I. n is even
II. n is a multiple of 5
III. n is a factor of 20
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: C
Question: John makes $40 a week from his job. He earns a raise andnow makes $55 a week. What is the % increase?
Choices:
16.66%
17.8%
19%
37.5%
Answer: D
Question: The sum of number of boys and girls in a school is 100. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Choices:
50
60
100
70
Answer: A
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/8
3/8
5/6
7/8
Answer: C
Question: Running at the same constant rate, 4 identical machines can produce a total of 16 bottles per minute. At this rate, how many bottles could 8 such machines produce in 3 minutes?
Choices:
92
96
174
115
Answer: B
Question: Which of the following must be true.?
1) The sum of N consecutive integers is always divisible by N
2) If N is even then the sum of N consecutive integers is divisible by N.
3) If N is odd then the sum of N consecutive integers is divisible by N.
4) The Product of K consecutive integers is divisible by K.
5) The product of K consecutive integers is divisible by K!
Choices:
3,4,5
4 and 5
1,2,3,4
only 4
Answer: C
Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Choices:
1
5
8
9
Answer: A
Question: Given a certain number (A), find A given that 4.5 is 15% of 20% of A?
Choices:
130
150
100
110
Answer: B
Question: A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Choices:
17 km/hr
48 km/hr
28 km/hr
19 km/hr
Answer: B
Question: A meeting has to be conducted with 4 managers. Find the number of ways in which the managers be selected from among 7 managers, if 2 managers will not attend the meeting together?
Choices:
45
35
30
25
Answer: D
Question: The sum of the numbers is 177. If the ratio between the first and the second be 5:3 and that between the second and third be 4:9, then find the second number?
Choices:
20
45
60
52
Answer: B
Question: What will be the vulgar fraction of 0.8
Choices:
4/5
3/2
3/7
3/8
Answer: A
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
2400
1167
1890
1628
Answer: A
Question: This year, MBB Consulting fired 9% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
Choices:
100.1%
102.8%
104.5%
105.0%
Answer: A
Question: If the cost price of 50 articles is equal to the selling price of 25 articles, then the gain or loss percent is?
Choices:
127
12
18
100
Answer: D
Question: 96% of the population of a village is 23040. The total population of the village is ?
Choices:
24000
24936
25640
None
Answer: A
Question: If the positive integer x is a multiple of 1 and the positive integer y is a multiple of 7, then xy must be a multiple of which of the following?
I. 7
II. 2
III. 3
Choices:
I and II only
I only
II and III only
I, II, and III
Answer: B
Question: If the simple interest on a certain sum of money for 5 years is one–fifth of the sum, then the rate of interest per annum is
Choices:
7%
6%
4%
3%
Answer: C
Question: Ayesha's father was 30 years of age when she was born while her mother was 22 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
14
15
12
2
Answer: C
Question: How much time will a train of length 250 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
55
88
76
12
Answer: A
Question: Beth received 2/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Choices:
1/6
3/10
7/20
1/2
Answer: A
Question: 60, 67, 63, 15, 61, 10, 15
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
Choices:
36
53
60
62
Answer: B
Question: A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.
Choices:
3 kmph
6 kmph
4 kmph
None of these
Answer: C
Question: What is the smallest positive integer x such that 120-x is the cube of a positive integer?
Choices:
6
5
0
1
Answer: B
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Choices:
237
200
299
232
Answer: B
Question: 20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class?
Choices:
1:5
5:6
1:6
None of these
Answer: C
Question: A 16% stock yielding 8% is quoted at?
Choices:
170
175
180
200
Answer: D
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 19,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Choices:
9,500,148 kilometers squared
9,843,123 kilometers squared
1,878,965 kilometers squared
4,787,900 kilometers squared
Answer: A
Question: a and b are two bus stations 400 km apart. if two separate buses depart from both stations and travel towards each other, at what time do they meet each other given that the first bus left at 8 am and travels at a speed of 70 km/hr while the second bus left at 9 am and travels at a speed of 40 km/hr.
Choices:
12 p.m
1 p.m
10 p.m
2.20 p.m
Answer: A
Question: Solution A is 20% barium and Solution B is 80% barium. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% barium solution?
Choices:
6:14
4:4
4:6
3:7
Answer: B
Question: If a coin is tossed twice, what is the probability that the coin lands on heads on both tosses?
Choices:
1/3
1/4
1/2
1
Answer: B
Question: A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?
Choices:
35
40
42
80
Answer: D
Question: Seven years ago the average age of a family of 2 members was 23 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
Choices:
32years
30years
25years
20years
Answer: A
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.14000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
Choices:
21
22
23
28
Answer: D
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 11 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/25
1/50
17/900
Answer: D
Question: Average of 10 matches is 32, How many runs one should should score to increase his average by 4 runs.
Choices:
76
78
80
88
Answer: A
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Choices:
40
20
26
30
Answer: A
Question: In a rectangular coordinate system, points O (2,0), P (2,6), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Choices:
(5,3)
(3,2)
(3,3)
(4,3)
Answer: A
Question: Whats the reminder when 879,548,521,456,258,759,653,258,778,455,658,985 is divided by 4
Choices:
1
2.
3
9
Answer: A
Question: A car gets 28 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Choices:
90
95
100
105
Answer: D
Question: If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?
Choices:
2675
2875
2525
None of these
Answer: D
Question: What does the hexa number E78 in radix 7.
Choices:
14153
14256
13541
14541
Answer: C
Question: Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 110cm by 130cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Choices:
6
8
9
10
Answer: A
Question: Which of the following is closest to 10^170 – 10^30 ?
Choices:
10^180
10^170
10^90
10^6
Answer: B
Question: When average age of 25 members are 0, how many members greater than 0?
Choices:
24
21
23
25
Answer: A
Question: The average of the marks of 11 students in a class is 36. If the marks of each student are doubled, find the new average?
Choices:
70
71
72
75
Answer: C
Question: David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 2,500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 160,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
Choices:
40,000
50,000
55,000
60,000
Answer: A
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 6 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY?
Choices:
9 hours
10 hours
12 hours
15 hours
Answer: A
Question: X can do a piece of work in 40 days; Y can do the same in 30 days. X started alone but left the work after 10 days, then Y worked at it for 10 days. Z finished the remaining work in 10 days. Z alone can do the whole work in?
Choices:
days
days
1/2 days
days
Answer: A
Question: The average marks of 30 students in a class is 60. But a student mark is wrongly noted as 90 instead of 15 then find the correct average marks?
Choices:
57.5
62.5
45.25
50
Answer: A
Question: A man is 22 years older than his son. In THREE years, his age will be THRICE the age of his son. The present age of this son is
Choices:
2 years
7 years
8 years
5 years
Answer: C
Question: In how many ways can the letters of a word 'ENGINEERING' be arranged such that vowels DO NOT together?
Choices:
263000
273000
283000
293000
Answer: B
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of charcoal ?
Choices:
White
PINK
ORANCE
BLACK
Answer: A
Question: An art gallery owner is hanging paintings for a new show. Of the five paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choices:
30
64
20
216
Answer: C
Question: What is the area G of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Choices:
85.
125.
225.
It cannot be determined from the information given
Answer: C
Question: The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is
Choices:
76 years
86 years
16 years
46 years
Answer: A
Question: If a farmer sells 15 of his goats, his stock of feed will last for 4 more days than planned, but if he buys 20 more goats, he will run out of feed 3 days earlier than planned. If no goats are sold or bought, the farmer will be exactly on schedule. How many goats does the farmer have?
Choices:
24
48
60
55
Answer: C
Question: As a bicycle salesperson, John earns a fixed salary of $10 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<2x II. y>x III. y>3
Choices:
II,III only
I,II only
II only
I only
Answer: A
Question: I have an amazing bath tub having both hot and cold water taps.
The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approx 4 hours.
I turned them on simultaneously but forgot to close the lid which remove water out of tub.
The lid can empty the tub in exact 13 hours.
Since both taps are open along with the lib , can you estimate the time needed to fill the bath tub ?
Choices:
5 hours
2 hours
4 hours
3 hours
Answer: D
Question: The Sum of the average (arithmetic mean) of the even integers from 0 to 100 inclusive and the average (arithmetic mean) of the even integers from 0 to 50 inclusive?
Choices:
125
25
75
50
Answer: C
Question: The forth proportional to 15,30,45 is?
Choices:
45
90
75
100
Answer: B
Question: (4 x 10^4) + (2 x 10^2) + (4 x 10) =
Choices:
32400
40240
3240
324
Answer: B
Question: Souju's age is 150% of what it was 10 years ago, but 75% of what it will be after 10 years. What is her present age?
Choices:
27years
30 years
42 years
66 years
Answer: B
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car?
Choices:
28
120
287
278
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 874 in 4 years. The sum is:
Choices:
s. 638
s. 698
s. 700
s. 760
Answer: A
Question: Sandy had $140 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Choices:
$200
$220
$240
$260
Answer: A
Question: A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 6 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour?
Choices:
2:45 pm
2:54 pm
3:06 pm
3:12 pm
Answer: B
Question: Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
Choices:
26 %
44%
32 %
16 %
Answer: B
Question: The average salary/head of all the workers ina workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workers in the work-shop is ?
Choices:
20
22
23
25
Answer: B
Question: A certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 11 cards?
Choices:
2/11
2/33
4/55
5/66
Answer: C
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
3/17
5/26
4/19
5/21
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
568
155
150
171
Answer: C
Question: Before leaving for his business trip, Chad asks his assistant to choose and pack four shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
Choices:
3/14
10/35
5/28
4/21
Answer: B
Question: A bakery currently has 8 pies and 3 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Choices:
5/7
4/11
7/11
23/33
Answer: B
Question: x% of y is y% of ?
Choices:
2y
x
1
can’t be determined
Answer: B
Question: A invested some money in 10% stock at 96.If B wants to invest in an equally good 12% stock ,he must purchase a stock worth of :
Choices:
Rs. 115.20
Rs. 120
Rs. 125.40
None of these
Answer: A
Question: In how many Q ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Choices:
Q=144
Q=12
Q=48
96
Answer: A
Question: 4, 10, (?), 82, 244, 730
Choices:
28
40
48
50
Answer: A
Question: A motor car starts with a speed of 50km/hr with its speed increasing every 2hours by 20kmph. In how many hours will it cover 510kms?
Choices:
12 hr
9hr
11hr
8hr
Answer: A
Question: Three numbers are such that the Second is as much lesser than thr third as the first is lesser than the second.If the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number
Choices:
9
10
12
15
Answer: B
Question: A book seller had some books. He sells 50% and still has 540 books. Originally, he had ?
Choices:
540 books
108 books
1080 books
None
Answer: C
Question: The average of 11 observations is 60. If the average of first five observations is 58 and that of the last five is 56, then the sixth observation is.
Choices:
90
100
110
None of these
Answer: A
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number ?
Choices:
36
27
86
27
Answer: A
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paisa went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
18
19.7
21
24
Answer: B
Question: s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits W are in s(99)?
Choices:
W=353
W=354
356
357
Answer: A
Question: A train 150 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
99
288
59
Answer: D
Question: A family with 1 mother, 1 father, and 3 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible
Choices:
6
4
8
10
Answer: A
Question: Which of the following points falls outside of the region defined by 2y≤6x−10?
Choices:
(3, -8)
(2, 0)
(0, -2)
(0, -14)
Answer: B
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.25
6.75
7
None
Answer: A
Question: The arithmetic mean of the set S = {6, K, 5, 11, M, 6} is 7. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
Choices:
5.5
6
6.5
7
Answer: B
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
17/22
17/22
17/29
17/12
Answer: C
Question: In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent of her bushes have only yellow roses?
Choices:
30
50
70
80
Answer: A
Question: It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill one sixteenth of the dish?
Choices:
26 days
27 days
28 days
29 days
Answer: A
Question: A bullet train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
Choices:
220 m
260 m
225 m
239 m
Answer: C
Question: There was one mess for 30 boarders in a certain hostel. The number of boarders being increased by 10, the expenses of the mess were increased by Rs 40 per month while the average expenditure per head diminished by Rs 2. Find the original monthly expenses.
Choices:
Rs 410
Rs 360
Cannot be determined
None of these
Answer: B
Question: In the biology lab of "Jefferson" High School there are 3.24*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?
Choices:
300
500
1000
5000
Answer: A
Question: A person crosses a 1440 m long street in 12 minutes. What is his speed in km per hour?
Choices:
4.5
4.8
5.4
7.2
Answer: D
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
profit of Rs. 211
profit of Rs. 128
profit of Rs. 200
profit of Rs. 219
Answer: D
Question: There are 12 dozen mangoes in a box. If there are 25
such boxes, how many mangoes are there in all the
boxes together?
Choices:
3600
6192
628
None
Answer: A
Question: Marge has Z candies, where Z is an integer such that 20 < Z< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?
Choices:
1
2
3
4
Answer: B
Question: 9, 16, 17, 25, 36,49
Choices:
16
17
25
36
Answer: B
Question: What distance (in meters) will be covered by a bus moving at 72 km/hr in 38 seconds?
Choices:
760
800
840
880
Answer: A
Question: If $200 invested at a certain rate of simple interest amounts to $240 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years?
Choices:
$180
$200
$240
$210
Answer: D
Question: Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements W.
Choices:
b) W=144
c) W=240
d) W=288
e) 120
Answer: B
Question: Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 222 grams of compound X?
Choices:
185
250
270
322
Answer: A
Question: If positive integers x and y are not both odd, which of the following must be even?
Choices:
xy
x - y
x + y -1
2(x + y) - 1
Answer: A
Question: In a coconut grove, (x + 2) trees yield 30 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
10
Answer: D
Question: Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio T of the number of hours Ann spends driving to the meeting to the number of hours Bob spends driving to the meeting?
Choices:
3:2
4:3
2:3
3:8
Answer: A
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
7 : 3
9 : 2
13 : 4
None of these
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
Choices:
260
120
240
140
Answer: C
Question: If a and b are negative integers, which of the following statements must be true?
I. (-a)^b is positive.
II. (-a)^(-b) is positive.
III. a^(-b) is positive.
Choices:
II only
I and II only
I and III only
I, II and III
Answer: B
Question: Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?
Choices:
2 hours
6 hours
8 hours
9 hours
Answer: B
Question: Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next five weeks be to increase his average weekly income to $500 over the 10-week period?
Choices:
$586
$630
$686
$715
Answer: A
Question: A certain list of 100 data has an average (arithmetic mean) of 10 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 110 data with standard deviation less than d?
Choices:
10 and 10
0 and 10
0 and 20
6 and 6
Answer: A
Question: If q and k are integers whose product is 400, which of the following statements must be true?
Choices:
n is not equal to k.
Either n or k is a multiple of 10.
If n is even, then k is odd.
If q is odd, then k is even.
Answer: D
Question: A certain number of workers can do a work in 65 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
Choices:
55
28
24
32
Answer: A
Question: Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 100kmph. When will Raghu overtake Anup?
Choices:
8:30am
10:00am
12:00pm
11:10am
Answer: A
Question: The average score of a cricketer for eleven matches is 45 runs. If the average for first five matches is 28, then average for last six matches is
Choices:
32.25
59
60
65
Answer: B
Question: Three table runners have a combined area of 224 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
Choices:
20 square inches
24 square inches
28 square inches
30 square inches
Answer: D
Question: Find the missing figures: 0.3% of ? = 0.15
Choices:
50
150
450
500
Answer: A
Question: In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Choices:
1440
2880
50400
5760
Answer: C
Question: In 10 years,A will be 4 times as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :
Choices:
13 Years
39 Years
49 Years
59 Years
Answer: A
Question: If after 400 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Choices:
220 grams
400 grams
800 grams
950 grams
Answer: C
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
726 sec
127 sec
128 sec
Answer: A
Question: In a certain pond, 80 fish were caught, tagged, and returned to the pond. A few days later, 80 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
625
3,200
4,500
10,000
Answer: B
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
18 2/91%
18 9/11%
12 2/11%
Answer: A
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 180 grams of water?
Choices:
160
112
128
142
Answer: A
Question: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 2 minute each, how soon will the tank be filled?
Choices:
4 hours
3 hours
5 hours
6 hours
Answer: D
Question: If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is :
Choices:
3 :4
3:20
20:3
22:1
Answer: B
Question: One pump drains one-half of a pond in 1 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Choices:
1.2 hour
3 hours
5 hours
6 hours
Answer: B
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
25%
26%
35%
29%
Answer: A
Question: Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is four miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Choices:
6
8
10
11
Answer: A
Question: Two numbers are in the ratio of 1 : 2. If 7 be added to both, their ratio changes to 3 : 5. The greater number is
Choices:
24
28
32
36
Answer: B
Question: During a trip, Francine traveled x percent of the total distance at an average speed of 25 miles per hour and the rest of the distance at an average speed of 50 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
Choices:
(x+60)/4
(300-x)/5
5000/x+100
12,000/(x+200)
Answer: C
Question: A train passes a station platform in 42 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
330 m
280 m
380 m
Answer: B
Question: A 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
300
230
288
271
Answer: A
Question: In State X, all vehicle license plates have 2 letters from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?
Choices:
60,840
67,600
45,697,600
676,000
Answer: C
Question: In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
Choices:
3!*8!*4!*4! Ways
8!*3!*4! Ways
3!*4!*4! Ways
4!*4! Ways
Answer: A
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 8 minutes and the second alone would have done it in 5 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Choices:
3 2/5min
3 3/5min
3 4/5min
3 1/13min
Answer: D
Question: A train 110 m long is running with a speed of 24 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
8 sec
14 sec
13.2 sec
Answer: D