antoine-444/aqua_rat_dataset huggingface dataset:
Question: Today is Monday. After 61 days, it will be
Choices:
Sunday
Monday
Saturday
None of these
Answer: C
Question: A project manager needs to select a group of 3 people from a total of 3 men and 3 women. How many possible group combinations exist such that no group has all men ?
Choices:
68
24
19
48
Answer: C
Question: I have twenty 3g stamps and twenty 5g stamps. Using one or more of these stamps, how many
different amounts of postage can I make?
Choices:
152
154
396
400
Answer: A
Question: If a, b, c, and d are integers; w, x, y, and z are prime numbers; w < x < y < z; and (wa)(xb)(yc)(zd)=660(wa)(xb)(yc)(zd)=660, what is the value of (a + b) – (c + d)?
Choices:
0
(a + b) – (c + d)=1
2
3
Answer: B
Question: A goods train runs at the speed of 72 km/hr and crosses a 150 m long platform in 26 sec. What is the length of the goods train?
Choices:
370
278
270
881
Answer: A
Question: A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
Choices:
10
6
4
2
Answer: A
Question: If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 6-letter code words?
Choices:
1/4
1/5
1/3
1/2
Answer: B
Question: What is 120% of 13/24 of 960?
Choices:
484
526
578
624
Answer: D
Question: A man can row 40km upstream and 55km downstream in 13 hours also, he can row 30km upstream and 44km downstream in 10 hours. find the speed of the man in still water and the speed of the current.
Choices:
8 and 3
3 and 8
3 and 5
None of them
Answer: A
Question: A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing?
Choices:
56000 liters of petrol
78000 liters
60000 liters
None of these
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
200 m
240 m
320 m
None
Answer: B
Question: If p#q denotes the least common multiple of p and q, then T=((12#16)#(18#24)) = ?
Choices:
180
144
108
72
Answer: B
Question: In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 4 rows in all and a total of 134 bricks in the wall, how many bricks does the bottom row contain ?
Choices:
31
32
33
34
Answer: B
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Choices:
Rs.14000
Rs.10500
Rs.2050
Rs.5500
Answer: A
Question: Machine A can finish a job in 6 hours, Machine В can finish the job in 12 hours, and Machine С can finish the job in 8 hours. How many hours will it take for A, B, and С together to finish the job?
Choices:
7/4
8/3
9/2
12/5
Answer: B
Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?
Choices:
3
4
5
0
Answer: D
Question: Diesel costs Rs.4 per lit and petrol costs 6.83 per litre. If the price of diesel rise by 10% a month and the price of petrol is unchanged.How many months will it take until a litre of Diesel costs more than a litre of petrol.
Choices:
5 months
6 months
3 months
2 months
Answer: B
Question: y = 248 - 343x
Which of the following values of x gives the greatest value of y in the equation above?
Choices:
100
-7
0
10
Answer: B
Question: Reena took a loan of 1000 with simple interest for as many years as the rate of interest. If she paid 40 as interest at the end of the loan period, what was the rate of interest?
Choices:
2
6
Cannot be determined
None
Answer: A
Question: Evaluate 28% of 450 + 45% of 280
Choices:
242
252
262
250
Answer: B
Question: If a:b = 4:1, then find (a - 3b)/(2a - b)?
Choices:
1/7
5/7
3/2
4/7
Answer: A
Question: In a car wheel, two spokes cover 10 degree. Then for the entire car,how many spokes are there?
Choices:
168
248
268
288
Answer: D
Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is
Choices:
15
60
54
57
Answer: C
Question: If x and y are both integers such that 41y = 36x and y is not negative, which of the following must be true?
(i) x is prime
(ii) y is even
(iii) xy is positive
Choices:
iii only
i and iii only
ii and iii only
i, ii and iii
Answer: A
Question: A certain company has budgeted $1560 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $420, how much was the company under budget or over budget?
Choices:
$30 under budget
$30 over budget
$60 over budget
$180 over budget
Answer: B
Question: In a consignment of eggs 552 were cracked, which was 12 percent of the total consignment. How many eggs were in the consignment?
Choices:
4800
4300
4600
4900
Answer: C
Question: P,Q and R together earn Rs.1800 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
Choices:
s.50
s.90
s.100
s.120
Answer: A
Question: A certain meter records voltage between 0 and 10 volts inclusive. If the average value of 3 recordings on the meter was 6 volts, what was the smallest possible recording in volts?
Choices:
2
4
5
6
Answer: A
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become nine times at the same rate?
Choices:
62 Â½ years
18 Â½ years
72 Â½ years
12 Â½ years
Answer: B
Question: A and B start from house at 10am. They travel on the MG road at 20kmph and 40 kmph. there is a Junction T on their path. A turns left at T junction at 12:00 noon, B reaches T earlier, and turns right. Both of them continue to travel till 2pm. What is the distance between A and B at 2 pm
Choices:
160kilometre
180km
190km
150km
Answer: A
Question: A car salesman earns a base salary of $800 per month plus a commission of $200 for each car he sells. If the car salesman earned $2600 in September, how many cars does he need to sell in October in order to double his September earnings?
Choices:
19
20
21
22
Answer: D
Question: What is the place value of 2 in the numeral 12734?
Choices:
4500
2000
6000
4000
Answer: B
Question: A train 125 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
60
70
80
Answer: A
Question: In how many different number of ways a Committee of 3 person of can be selected from 5 boys and 3 girls such that at least 1 girl is included in the committee
Choices:
42
46
48
50
Answer: B
Question: A car gets 32 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 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Choices:
88
92
96
100
Answer: C
Question: When Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?.
Choices:
125%
105%
225%
400%
Answer: A
Question: Twelve animals of a circus has to be placed inside in twelve cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
Choices:
B.808250
C.502450
D.784200
E.4838400
Answer: D
Question: There are 45 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Choices:
7
17
21
27
Answer: B
Question: A certain number when divided by 110 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
5
6
8
9
Answer: D
Question: Alpha, Beta and Gamma are inner angles in a triangle. If Alpha = Beta + Gamma, what can't be the size of Beta?
Choices:
45 degrees.
89 degrees
90 degrees.
There isn't enough data to determine.
Answer: C
Question: The sum of the squares of three consecutive odd numbers is 2531.Find the
numbers.
Choices:
25,29 and 31
27,29 and 32
26,33 and 31
27,29 and 31
Answer: D
Question: Mrs. Napier has 45 stickers to give to 7 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Choices:
6-4
2-6
2-3
2-8
Answer: A
Question: What is the probability that an integer selected randomly from 101 to 550, inclusive, begins with 1, 2, or 3, and ends with 4, 5, or 6?
Choices:
1/5
3/5
1/4
1/3
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Choices:
Rs. 14,200
Rs. 14,400
Rs. 14,700
Rs. 14,800
Answer: C
Question: Robert left from a Pvt Company. Management hold his salary Rs. 15000/- for one month. Earlier Robert borrowed Rs. 7280/- from company. But Robert forget that. After one month Robert asked his salary and accountant gives Rs.18500/- to him. What is the incentive amount given to Robert?
Choices:
12500
10780
10500
8600
Answer: B
Question: How many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph?
Choices:
7.5 sec
8 sec
3 sec
10 sec
Answer: A
Question: How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution?
Choices:
49
100
105
140
Answer: C
Question: How many 4-digit B numbers (ABCD) can be formed such that |A – D| = 2?
Choices:
1,900
1,800
1,600
1,500
Answer: D
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Choices:
165 ways
617 ways
136 ways
156 ways
Answer: A
Question: The ratio between the speeds of two trains is 3 : 5. If the second train runs 500 kms in 4 hours, then the speed of the first train is
Choices:
75 km/h
50 km/h
125 km/h
60 km/h
Answer: A
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x?
Choices:
2
3
4
5
Answer: B
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 11 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
384
279
276
291
Answer: A
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 16. Find their present ages (in years).
Choices:
8, 14, 18
20, 35, 45
33,42,43
23,42,43
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places
Choices:
43
42
47
23.57
Answer: D
Question: What percent is 7 gm of 1 kg?
Choices:
0.7 %
2.5 %
3.5 %
4 %
Answer: A
Question: Three consecutive even numbers are such that thrice the first number exceeds double the third number by six. What is the third number?
Choices:
18
20
22
24
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
4
6
6
7
Answer: A
Question: Sum of the numbers from 1 to 20 is
Choices:
210
220
105
100
Answer: A
Question: Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
Choices:
69.2 km /hr
67.2 km /hr
67.0 km /hr
65.0 km /hr
Answer: B
Question: A ship sails 4 degrees north, then 13 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
Choices:
0
2
3
None of these
Answer: A
Question: Find the simple interest on Rs. 73,000 at 16 2/3% per year for 9 months.
Choices:
6500
8125
9125
None of them
Answer: C
Question: A plant manager must assign 10 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
Choices:
2700
3300
4860
5400
Answer: A
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
Choices:
twelve (12)
14
16
18
Answer: A
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
Choices:
127
134
154
146
Answer: A
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Choices:
16
25
36
100
Answer: B
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is
Choices:
2 km
3.6 km
4 km
None of these
Answer: B
Question: Which one of the following is not a prime number?
Choices:
61
71
73
91
Answer: C
Question: 90, 180, 12, 50, 100, 120, ?, 3, 30, 4, 25, 2, 6, 30, 3
Choices:
90
180
200
220
Answer: A
Question: The average student age of a certain class which has 45 students is 14. If one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66. What is the age of class teacher?
Choices:
35
38
40
45
Answer: D
Question: A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
Choices:
1/5
1/6
1/7
1/24
Answer: A
Question: Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money W would he earn per month?
Choices:
$754
$770
$782
$893
Answer: B
Question: In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 25 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
16X/1
80/9X
20X/13
80X/9
Answer: A
Question: In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $70,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
Choices:
$150,000
$240,000
$290,000
$320,000
Answer: A
Question: In a consumer survey, 88% of those surveyed liked at least one of three products: 1, 2, and 3. 55% of those asked liked product 1, 40% liked product 2, and 20% liked product 3. If 7% 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:
20
25
30
35
Answer: A
Question: Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Choices:
16 hrs
21 hrs
15 hrs
04 hrs
Answer: A
Question: A car dealership has 40 cars on the lot, 15% of which are silver. If the dealership receives a new shipment of 80 cars, 30% of which are not silver, what percentage of total number of cars are silver?
Choices:
25%
30%
35%
40%
Answer: A
Question: How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
Choices:
2 two
3 three
4 four
More than four
Answer: B
Question: If the range Q of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
Choices:
2
12
13
15
Answer: C
Question: Find the value of (√1.21)/(√0.81) + (√0.81)/(√0.49) is
Choices:
2.5
155/63
125/63
185/63
Answer: A
Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Choices:
7!*2!
6!*1!
2!*1!
5!*1!
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 6/4%
42 6/7%
42 3/7%
42 6/9%
Answer: C
Question: The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Choices:
Rs. 1650
Rs. 1750
Rs. 2000
Rs. 3000
Answer: B
Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many W cents does a liter of kerosene cost? [One dollar has 100 cents.]
Choices:
0.44
0.55
44
55
Answer: C
Question: Oak Street begins at Pine Street and runs directly east for 2 kilometers until it ends when it meets Maple Street. Oak Street is intersected every 400 meters by a perpendicular street, and each of those streets other than Pine Street and Maple Street is given a number beginning at 1st Street (one block east of Pine Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Maple Street. What is the highest-numbered street that intersects Oak Street?
Choices:
4th
6th
7th
8th
Answer: A
Question: A one-foot stick is marked in 1/3 and 1/4 portion. How many total markings will there be, including the end points?
Choices:
9
7
6
5
Answer: B
Question: The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
Choices:
48
65
15
12
Answer: A
Question: A team has to design a flag. The team has three yellow strips of cloth and four green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
Choices:
35
42
84
85
Answer: A
Question: John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/4 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
Choices:
62
70
77
98
Answer: A
Question: In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 4 : 7 : 9. If the shop carries 364 dogs and bunnies total in stock, how many dogs are there?
Choices:
66
98
112
154
Answer: C
Question: Find the area, diameter = 11m.
Choices:
95.07 square meter
93.08 square meter
93.24 square meter
113.43 square meter
Answer: A
Question: The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer
Choices:
24
36
48
60
Answer: D
Question: A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
Choices:
$148,000
$248,000
$548,000
$648,000
Answer: A
Question: A car going at 40 miles per hour set out on an 90-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
Choices:
50
53
55
90
Answer: D
Question: If 10 lions can kill 10 deers in 10 minutes how long will it take 100 lions to kill 100 deers?
Choices:
10 minute
100 minutes
10000 minutes
1000 minutes
Answer: A
Question: There is a total of 84 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 2/7. What is the probability that the marble will be either red or blue?
Choices:
11/14
13/28
19/28
29/42
Answer: B
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long W will the conference last if there are a total of 6 seminars that day?
Choices:
5 hours and 20 minutes
5 hours and 25 minutes
5 hours and 30 minutes
5 hours and 35 minutes
Answer: A
Question: Which of the following triples of numbers have the same standard deviation as the numbers a, b, and c?
I. a-2, b-2, c-2
II. 0, a-b, c-b
III. a-4, b+5, c-1
Choices:
II only
I and III only
II and I only
I, II, and III
Answer: C
Question: In a class of 5 students, average weight of the 4 lightest students is 40 kgs, Average weight of the 4 heaviest students is 45 kgs. What is the difference between the the maximum and minimum possible average weight overall?
Choices:
3.2 kgs
3 kgs
4 kilograms
2 kgs
Answer: C
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 16 hours respectively after meeting each other. If the train A travels at 80kmph, find the rate at which the train B runs.
Choices:
160
120
80
100
Answer: A
Question: A train of length 250 m crosses a bridge of length 150m in 20 seconds. What is the speed of train?
Choices:
27
25
22
72
Answer: D
Question: The perimeter of a rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus is
Choices:
70 sq.m
78 sq.m
84 sq.m
None
Answer: A
Question: In a series of six consecutive odd numbers, the sum of the second and fifth numbers is 28. What is the third number?
Choices:
11
17
13
15
Answer: C
Question: What will be the compound interest on a sum of Rs. 45,000 after 3 years at the rate of 12% p.a.?
Choices:
s:10123.29
s:10123.20
s:18221.76
s:10123.12
Answer: C
Question: x,y are odd and z is even then ((x^2+y^2)z^2)/8 is
Choices:
odd
fraction
fractiWQ
either even or odd
Answer: D
Question: 'a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the addition of the maximum and minimum possible values of 'a + b'?
Choices:
30
22
20
32
Answer: A
Question: The present population of a town is 1240. Population increase rate is 4% p.a. Find the population of town after 1 years?
Choices:
1215
1345
1142
1290
Answer: D
Question: Which of the following numbers doesn't have a divisor greater than 1 that is the square of an integer?
Choices:
108
25
13
36
Answer: C
Question: If g and f are both odd prime numbers andg < f, then how many different positive integer factors does2gfhave?
Choices:
4
6
8
12
Answer: C
Question: What is (25^7+25) / 25?
Choices:
244140626
242580531
241230438
240760355
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 9 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 76000, then the share of B is?
Choices:
24000
28000
48000
81122
Answer: C
Question: If s,t ,and u are positive real numbers such that s(t+u) = 152, t(u+s) =162 , and u(s+t) = 170, then stu is
Choices:
b) 688
c) 704
d) 720
e) 750
Answer: C
Question: During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 40% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
Choices:
30%
40%
50%
60%
Answer: B
Question: Jack needs to arrive at the flower shop before 2 p.m, and the car rental by 3:30 pm, before he picks Sally up for their date at 5:30. It is now 12 p.m. the flower shop is 1.2 miles from Jacks house. He walks at a pace of 3.1 miles per hour. The flower shop is about .6 miles from the car rental shop, where Jack must walk to next. He can then drive the last 4.3 miles to Sallys house with an approx speed of 35 mph. When should he leave for each destination, in order based on the distance between stops Jack's walking speed, and finally the travel in the car?
Choices:
1:59 p.m, 3:17p.m, and 5:24 p.m
1:57 p.m., 3.19 p.m, and 5:26pm
1:52 pm, 3:11 p.m, and 5:18 pm
1:59 p.m, 3:22 p.m, there isn't time to pick up Sally :(
Answer: C
Question: Evaluate: 6302.5 + 630.25 + 63.025 + 6.3025 + 0.63025
Choices:
6981.59775
6918.59775
6198.59775
7002.70775
Answer: D
Question: What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 743.095 + ?
Choices:
790
780
770
890
Answer: B
Question: The cost of producing x tools by a company is given by
C(x) = 1000 x + 5500 (in $)
a) What is the cost of 100 tools?
Choices:
125800 $
105900 $
105500 $
122500 $
Answer: C
Question: A person buys an article at Rs.400. At what price should he sell the article so as to make a profit of 40%?
Choices:
277
560
261
281
Answer: B
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.8, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
4.2
4.6
5.6
5.7
Answer: A
Question: Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability Q that Jane will be on the same committee as Albert?
Choices:
20%
33%
40%
50%
Answer: C
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1265
1350
1467
1635
Answer: D
Question: If z = 343 * 64 * 9 / 63, Find the unit digit of z,
Choices:
1
3
2
6
Answer: D
Question: A circular well with a diameter of 4 metres , is dug to a depth of 24 metres. What is the volume of the earth dug out?
Choices:
36 m3
40 m3
44 m3
301.6
Answer: D
Question: A car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
35.5
36
36.5
37
Answer: B
Question: A shopkeeper has 280 kg of apples. He sells 40% of these at 20% profit and remaining 60% at 20% profit. Find his % profit on total.
Choices:
20%
26%
28%
35%
Answer: A
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Choices:
8 7/3 %
8 1/3 %
2 1/3 %
8 3/3 %
Answer: B
Question: The average of 25 result is 18.The average of 1st 12 of them is 14 & that of last 12 is 17.Find the 13th result.
Choices:
68
58
78
98
Answer: C
Question: If shares of two persons in profits are Rs.600 and Rs.300 then ratio of their capitals is
Choices:
2:3
4:3
1:3
2:1
Answer: D
Question: There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team?
Choices:
172.2
172
181
184
Answer: B
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
15
77
55
22
Answer: A
Question: The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than
Choices:
12 years
56 years
66 years
15 years
Answer: D
Question: A shopkeeper sold 10articles at the cost price of 8 articles. Then find the profit% or lost% ?
Choices:
15%
25%
30%
20%
Answer: D
Question: The total age of A and B is 18 years more than the total age of B and C. C is how many years younger than A ?
Choices:
27
21
18
11
Answer: C
Question: Working individually, Emma can wrap presents for 6 hours and Troy can wrap presents in 8 hours. If Emma and Troy work together but independently at the task for 2 hours, at which point Troy leaves, how many remaining hours will it take Emma to complete the task alone?
Choices:
30/12
3/4
2/12
3/5
Answer: A
Question: Find the value of (100+ 20/90) × 90
Choices:
9100
9150
8120
9020
Answer: D
Question: A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 140 billion gallons. If the storm increased the amount of water in the reservoirs to 80 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Choices:
51
55
63
65
Answer: A
Question: An inspector rejects 15% of the meters as defective. How many will he examine to reject 15?
Choices:
A)100
C)250
D)200
E)160
Answer: A
Question: If f(x) = x - 4, then (f o f)(3) = ?
Choices:
-5
-6
-3
-7
Answer: A
Question: The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 4|+ 7 is equal to:
Choices:
7
10
12
16
Answer: D
Question: A 40-liter solution of alcohol and water is 5 percent alcohol. If 2.5 liters of alcohol and 7.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Choices:
9%
15%
18%
21%
Answer: A
Question: Timmy and Tommy Pumpernickel are leaving home for college today. Peter and Patty Pumpernickel stand and wave goodbye as their pride and joy head off to schools at opposite ends of the state. If Timmy drives a slow 45 miles/ hour and Tommy "the lead foot" Pumpernickel drives a jaw dropping 75 miles per hour, how long until they are 500 miles away from one another?
Choices:
4.5 hours
4.24 hours
4.17 hours
5 hours
Answer: C
Question: A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at
Choices:
6.1 %
6.2 %
6.3 %
6.4 %
Answer: D
Question: There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
Choices:
6
21
33
60
Answer: B
Question: If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 15 men in 3 days?
Choices:
52mtr
70mtr.
78mtr.
42mtr.
Answer: D
Question: A palindrome is a number that reads the same forward and backward, such as 242. How many even thirteen-digit numbers are palindromes?
Choices:
400
500
5,000
40,000,000
Answer: D
Question: A rectangular table seats 8 people on each of two sides, with every person directly facing another person across the table. If 16 people choose their seats at random, what is probability that person P directly faces person Q?
Choices:
3/7
1/16
2/11
1/15
Answer: D
Question: A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 8 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?
Choices:
584
774
624
523
Answer: A
Question: What approximate value should come in place of the a in the following equation?
10% of 6275 + 20% of 7584 = a
Choices:
2160
2140
2130
2120
Answer: B
Question: The mark up between "normal plan" price and "premium plan" price is 30 percent of the "normal plan" price. The markup is what percent of the "premium plan" price ?
(markup = difference between normal and premium price plans)
Choices:
20%
33 1/3%
45%
56 2/3%
Answer: B
Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 42 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:
140
175
210
245
Answer: C
Question: The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?
Choices:
16
18
15
19
Answer: C
Question: let p be the product of the positive integers between 1 and 7 inclusive. How many distinct prime factors does p have?
Choices:
2
3
4
5
Answer: C
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
10 months
11 months
81 months
12 months
Answer: A
Question: For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 40 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
Choices:
24%
25%
27%
28%
Answer: D
Question: If abc ≠ 1 and the sum of the reciprocals of a, b, and c equals the reciprocal of the product of a, b, and c, then a =
Choices:
(1 – bc)/(b + c)
(1 + b + c)/(bc)
(1 – b – c)/(bc)
(1 – b – c)/(b + c)
Answer: B
Question: g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(z) is divisible by 4^11, what is the smallest possible value for z?
Choices:
24
28
32
44
Answer: A
Question: A certain list of 300 test scores has an arithmetic mean of 75 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 301 test scores with a standard deviation less than d?
Choices:
80 and 85
70 and 75
75 and 75
74 and 74
Answer: C
Question: For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/9 + 9^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
Choices:
1/5
1/6
1/7
1/2
Answer: D
Question: If s and t are positive integers such that s/t = 64.15, which of the following could be the remainder when s is divided by t ?
Choices:
4
8
20
45
Answer: D
Question: In Town X, 96 percent of the population are employed, and 24 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
25%
32%
75%
52%
Answer: C
Question: On Charlie's cell phone plan, he signed up for 8GB of data per 4 week period. If he went over the 8GB per month, it would cost him an extra $10.00 per GB.
In the first week, he used 2 GB; in the 2nd week, he used 3 GB; in the 3rd week, he used 5 GB; and in the 4th week, he used a whopping 10GB.
How much extra did Charlie need to pay on his cell phone bill?
Choices:
$120
$80
$100
$140
Answer: A
Question: The ratio between the speeds of two trains is 3: 4. If the second train runs 400 kms in 6 hours, then the speed of the first train is ?
Choices:
50.01 km/hr
40.01 km/hr
52.01 km/hr
None of these
Answer: A
Question: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
B)170
C)190
D)1680
E)230
Answer: C
Question: If 2994 Ã· 14.5 = 173, then 29.94 Ã· 1.45 = ?
Choices:
17.3
17.5
17.7
17.2
Answer: A
Question: 1764 can be expressed as a product of primes as
Choices:
2 × 2 × 3 × 3 × 7 × 7
2 × 2 × 2 × 3 × 3 × 7
2 × 3 × 3 × 3 × 3 × 7
None of these
Answer: A
Question: There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 35% play football, how many play both?
Choices:
150
200
180
60
Answer: D
Question: A volume of 10936 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
Choices:
8231
2734
4222
4254
Answer: B
Question: The unit digit in the product (624 * 708 * 913 * 463) is:
Choices:
7
6
8
1
Answer: C
Question: In business, A and C invested amounts in the ratio 3:2, whereas the ratio between amounts invested by A and B was 3:1, If Rs 60000 was their profit, how much amount did C receive.
Choices:
20000
15000
61000
26000
Answer: A
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
Choices:
86
66
55
44
Answer: A
Question: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?
Choices:
7
6
5
3
Answer: A
Question: If GAVE is coded as 4657 and RAT is coded as 333. How is GATE coded?
Choices:
4367
4637
4763
4376
Answer: B
Question: The perimeter of an isosceles right triangle is 4 + 4 sq rt 2. What is the length of the hypotenuse of the triangle?
Choices:
2.82
3
4
5
Answer: A
Question: If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction becomes 5⁄8 and if the numerator of the same fraction is increased by 3 and the denominator is increased by I the fraction becomes 3⁄4. What is the original fraction?
Choices:
2⁄7
4⁄7
3⁄7
None of these
Answer: C
Question: A city had 400 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 3 years. If there were 400 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2009 to 2012?
Choices:
2300
3000
3200
3800
Answer: C
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Choices:
1279
1023
1927
1298
Answer: B
Question: Three numbers are in the ratio 1:2:3 and their H.C.F is 62. The numbers are:
Choices:
62, 124, 186
10, 20, 30
62, 24, 186
12, 24, 186
Answer: A
Question: The present age of the father is 3years more than 3 times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father?
Choices:
30years
33years
15years
25years
Answer: B
Question: If a = 105 and a^3 = 21 × 25 × 45 × b, what is the value of b?
Choices:
42
45
49
54
Answer: C
Question: Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take a day more. How long does it take to complete the task if they both work together?
Choices:
5
6
7
8
Answer: A
Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
Choices:
30 liters
40 liters
60 liters
70 liters
Answer: C
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the five socks?
Choices:
15
21
36
20
Answer: D
Question: 7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
Choices:
490
500
650
700
Answer: C
Question: A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
Choices:
60,60
64,87
64,09
60,64
Answer: A
Question: The product of all the prime numbers less than 25 is closest to which of the following powers of 10?
Choices:
10^8
10^7
10^8
10^5
Answer: C
Question: A computer wholesaler sells 7 different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
Choices:
5/35
1/28
1/56
1/168
Answer: A
Question: Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate W in miles per hour for the entire trip?
Choices:
W=30.0
W=40.0
W=53.3
60.0
Answer: B
Question: 1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member
Choices:
B.20%
C.25%
D.42%
E.50%
Answer: C
Question: A father was as old as his son's present at the time of your birth. If the father's age is 36 years now, the son's age 5years back was?
Choices:
12 years
14 years
13 years
20 years
Answer: C
Question: A man can row 6 kmph in still water. When the river is running at 3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
4.5
5.76
5.74
5.71
Answer: A
Question: A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 3, and the fifth digit is 2 times the sixth. How many different credit card numbers are possible?
Choices:
24
36
48
72
Answer: B
Question: an article whose initial cost is Rs 400 is subjected for discounts of 25%, 15%, and 40% what is the amount the customer have to pay?
Choices:
113
123
143
153
Answer: D
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
21.4
21.5
22.5
Answer: A
Question: The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number T?
Choices:
80
40
120
160
Answer: A
Question: Barbata invests $2400 in the National Bank at 4%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choices:
3000
2400
3600
2450
Answer: B
Question: A goods train runs at the speed of 72 kmph and crosses a 240 m long platform in 26 seconds. What is the length of the goods train?
Choices:
270m
643m
280m
270m
Answer: C
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
6 ½ sec
2 ½ sec
7 ½ sec
9 ½ sec
Answer: C
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150
188
166
122
Answer: A
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 4 years?
Choices:
2%
4%
5%
3%
Answer: C
Question: Two trains are moving at 90 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
45/8 sec
40/6 sec
37/6 sec
42/4 sec
Answer: A
Question: George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?
Choices:
15R/Q
30Q/R
5Q/R
15Q/R
Answer: D
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 6 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
33
48
52
None of these
Answer: A
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 70 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
Choices:
35,000
1,100
3,000
30,000
Answer: A
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 40.00?
Choices:
$ 11.20
$ 22.40
$ 16.00
$ 18.00
Answer: B
Question: Beth received 4/10 of the votes cast in a certian election. What franction 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: The population of a town is 8100. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
Choices:
8000
8500
9500
10000
Answer: D
Question: How many 2-inch by 3-inch rectangular tiles are required to tile this shaded region?
Choices:
10—100
101—1,000
1,001—1,500
1,500+
Answer: D
Question: An offshore company sells two products, L and M. Last year, seventy percent of the units sold were product L, and the price of product L was 25 percent greater than the price of product M. Approximately what percent of the total revenue the company received last year was from the sale of product L?
Choices:
25%
35%
65%
74%
Answer: D
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 9. What is the difference between the two digits of the number?
Choices:
2
7
Cannot be determined
None of these
Answer: D
Question: If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many digits does this integer consists of?
Choices:
339
342 integers
359
362
Answer: B
Question: Instead of multiplying a number by 5, the number is divided by 5. What is the percentage of error obtained ?
Choices:
97%
96%
99%
95%
Answer: B
Question: The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
Choices:
377
344
239
112
Answer: B
Question: What is the greatest prime factor of 4^18 - 2^30?
Choices:
3
5
7
11
Answer: C
Question: the twonumbers (23__)^32 and (12__)^ 33 has 6 in the last digit what is the missing digit ?
Choices:
5
six (6)
7
8
Answer: B
Question: 121 x 5^4 = ?
Choices:
75625
72325
71225
72225
Answer: A
Question: Find the area of a parallelogram with base 48 cm and height 36 cm?
Choices:
1728 cm2
1870 cm2
1890 cm2
668 cm2
Answer: A
Question: In how many ways can 5 boys and 2 girls bearranged at a table if 2 girls are never together?
Choices:
379
420
430
480
Answer: D
Question: Find the number of different meals of 4 items that you can get from the given menu of 6 items and no need to choose different items.
Choices:
126
5040
15
18
Answer: C
Question: Calculate 469111 x 9999 = ?
Choices:
4686970743
4691100843
4586870843
4690640889
Answer: D
Question: The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 24 seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken under 10 minutes ?
Choices:
14
15
16
18
Answer: D
Question: A survey was taken among 100 brainiacs. Of those surveyed, twice as many brainiacs likerebus teasers as math teasers. If 18 brainiacs like both rebus teasers and math teasers and 4like neither kind of teaser, how many brainiacs like math teasers but not rebus teasers?
Choices:
18
19
20
21
Answer: C