antoine-444/aqua_rat_dataset huggingface dataset:
Question: A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent W above the cost price were his articles marked?
Choices:
100%
75%
66+2/3%
50%
Answer: A
Question: From a group of boys and girls, 15 girls leave. They are then left 2 boys for each girl. After this, 54 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning
Choices:
10
30
50
45
Answer: D
Question: A certain cube floating in a bucket of water has between 70 and 85 percent of its volume below the surface of the water. If between 8 and 20 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
Choices:
4
7
8
9
Answer: A
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
Choices:
504080
504080
504000
504020
Answer: C
Question: If 40% of a number is 36, then the number is
Choices:
number is 70
number is 90
number is 80
None of these
Answer: B
Question: If "COMPUTER" was given a code of 111, then what is the sum of "VIRUS" and "WORM"?
Choices:
22
20
160
158
Answer: D
Question: In digging a pond 20m*10m*5m the volumes of soil extracted will be ?
Choices:
1000 cu.m
10000 cu.m
2000 cu.m
3000 cu.m
Answer: A
Question: A tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 3 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 6 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)
Choices:
3210
4320
5430
6540
Answer: B
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 70 years now, the son's age five years back was:
Choices:
40 years.
30 years.
35 years.
45 years.
Answer: B
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.50 for every box, and if the university needs 1.92 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$200
$320
$650
$810
Answer: A
Question: If 70 honey bees make 70 grams of honey in 70 days, then 1 honey bee will make 1 gram of honey in how many days?
Choices:
3.5
20
49
70
Answer: D
Question: In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 35% of all the employees are men .What % of all the employee went to the picnic?
Choices:
33%
35%
36%
37%
Answer: A
Question: The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
Choices:
10 : 11 : 20
23 : 33 : 60
Cannot be determined
None of these
Answer: B
Question: If x^2=3x+2, then x^3 = ?
Choices:
6x+2
11x+6
8x-3
5x+4
Answer: B
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
Choices:
36 km/hr
71.11 km/hr
71 km/hr
72 km/hr
Answer: B
Question: The product of n consecutive positive integers is always divisible by
Choices:
(n+1)!
2n +1
n^2 + 1
n!
Answer: D
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
7500
9000
8000
8500
Answer: A
Question: A bag contains ten white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
40/91
40/61
40/31
5/1
Answer: A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $42. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
378/(xy)
3xy/11
297/(xy)
297xy
Answer: A
Question: A tank is filled by 3 pipes A,B,C in 10 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
Choices:
52hr
70hr
66hr
48hr
Answer: B
Question: A boat goes 100 km downstream in 10 hours, and 90 m upstream in 15 hours. The speed of the stream is?
Choices:
2
22 1/2
22 1/1
22 1/3
Answer: A
Question: How many different positive integers can be formed using each digit in the set {0,1,3,3,3,7,8} exactly once?(Naturally, the number can't begin with 0)
.
Choices:
720
1440
4320
5040
Answer: A
Question: The positive number z is divisible by 4. What is the remainder of dividing z(2+4+z)+3 by 2?
Choices:
1
2
3
4
Answer: A
Question: A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction W of the cookies that were placed in the other tins were placed in the green tin?
Choices:
9/4
5/9
7/5
9/7
Answer: B
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
267
256
298
Answer: A
Question: A boat travels 40 km downstream in 8 hours and 24 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Choices:
3.5 km/hr, 1.5 km/hr
1 km/hr, 6 km/hr
2 km/hr, 1 km/hr
4 km/hr, 1 km/hr
Answer: A
Question: In the xy-plane, the point (2, 1) is the center of a circle. The point (-2, 1) lies inside the circle and the point (2, -5) lies outside the circle. If the radius r of the circle is an integer, then r =
Choices:
5
4
3
2
Answer: A
Question: If there are 30 red and blue marbles in a jar, and the ratio of red to blue marbles is 3:2, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
Choices:
2/25
6/25
9/25
21/25
Answer: B
Question: What number has a 5:1 ratio to the number 10?
Choices:
50
88
52
12
Answer: A
Question: There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
Choices:
120
100
110
140
Answer: A
Question: In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 5% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
Choices:
4 : 5
2 : 3
Data inadequate
None of these
Answer: A
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! 4! 8! 4!
4! 4!
8! 4! 4!
None
Answer: A
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 82 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
8200
6000
5000
4000
Answer: A
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
5%
6%
7%
Answer: A
Question: A container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 4 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution?
Choices:
3:7
3: 5
5:11
7:3
Answer: C
Question: By using the numbers 1, 2, 3, 5 and 9 only once, how many five digit numbers can be made that are divisible by 25?
Choices:
1
4
8
6
Answer: D
Question: A man can do a piece of work in 5 days, but with the help of his son he can do it in 2 days. In what time can the son do it alone ?
Choices:
6 1/2 days
5 1/3 days
3 1/3 days
None of these
Answer: C
Question: If p and q are positive integers and q ≠ 1, then pq(q −1) is
Choices:
p-q
pq^2-pq
pq^2
pq
Answer: B
Question: During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets sold T was 25,200, how many of them were sold at full price?
Choices:
19,800
16,500
15,800
8,700
Answer: B
Question: If 55 percent of congress are Democrats and the rest are Republicans. In a vote on a new law , if 40 percent of the members who are Democrats and 20 percent of the members who are Republicans are expected to vote for the new law , what percent of the members are expected to vote for the new law ?
Choices:
31%
33%
35%
39%
Answer: A
Question: In a competitive examination in a state A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each state?
Choices:
8000
6500
9100
6000
Answer: A
Question: If one person completes a journey in 10 hrs. He travels 1st half of the journey at the rate of 21 km/hr and 2nd half at therate of 24 km/hr. Find the total journey in km.
Choices:
220 km
224 km
230 km
254 km
Answer: B
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices:
34 ft
68 ft
78 ft
88 ft
Answer: D
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Choices:
420
882
661
222
Answer: A
Question: Two persons start at the same point, walk in opposite directions with 6 km/hr and 4 km/hr respectively.
What is the distance separated after 4 and half hrs?
Choices:
45 km
50 km
29.250 km
25.250 km
Answer: A
Question: Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
Choices:
81.6
81.1
81.5
81.2
Answer: A
Question: In a BCCI meeting there are 11 people. All shake hands with each other once. How many handshakes will be there altogether?
Choices:
10
11
19
18
Answer: A
Question: Simplify:(4x2 - 2x) - (-5x2 - 8x)
Choices:
4x(3x + 2)
2-(3x + 2)
3x(3x - 2)
3x(3x + 2)
Answer: D
Question: A train moves fast a telegraph post and a bridge 260 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
39.5
79.9
78.0
79.0
Answer: C
Question: 20 is subtracted from 60% of a number, the result is 88. Find the number?
Choices:
300
180
170
148
Answer: B
Question: The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father’s age at that time. The present age of father and son, repectively are
Choices:
36 years, 9 years
39 years, 6 years
40 years, 6 years
None of these
Answer: A
Question: A tank can supply water to a village for 80 days. If a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 60 days only. For how many days will the supply last if the leak drains out 20 liters per day?
Choices:
45
48
50
55
Answer: B
Question: The ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 7:4:3. Someone removes 6 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. How many pounds do the electronics in the suitcase weigh?
Choices:
3
5
7
9
Answer: D
Question: The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 1600 meters per second, what was the speed, in meters per second, when the stopwatch was started?
Choices:
25/4
25/8
25/16
25/32
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 E cents does a liter of kerosene cost? [One dollar has 100 cents.]
Choices:
0.44
0.55
44
55
Answer: C
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Choices:
1/2
1/6
3/2
1/4
Answer: A
Question: Students of three different classes appeared in common examination. Pass average of 10 students of first class was 55%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
Choices:
75%
69%
72%
None
Answer: B
Question: If a farmer sells 5 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 20 more chickens, he will run out of feed 1 day earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
Choices:
20
20/3
25
10
Answer: B
Question: A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
Choices:
5 days
6 days
7 days
11 days
Answer: A
Question: Solve 8z – 5z + 5 = 2z + 11
Choices:
2
10
8
6
Answer: D
Question: If xy+3z = x(y+z), which of the following must be true?
Choices:
1. x=3 and z=0
3. y=1 and z=0
4. x=1 or y=0
5. x=1 or z=0
Answer: A
Question: The difference between the local value and the face value of 4 in the numeral 98625147 is
Choices:
36
34
30
33
Answer: A
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Choices:
13
15
18
21
Answer: C
Question: Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 12.1 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ?
Choices:
12.1
12.2
12.3
11.0
Answer: D
Question: There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 8 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?
Choices:
360,000
364,500
392,000
405,000
Answer: D
Question: If two dice are thrown together, the probability of getting a doublet on the dice is
Choices:
1/6
1/4
1/3
1/2
Answer: A
Question: The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
Choices:
94
27
19
11
Answer: A
Question: An office manager must choose a five-digit lock code for the office door. The first and last digits of the code must be odd, and no repetition of the digits is allowed. How many different lock codes are possible.?
Choices:
3120
3275
3860
3980
Answer: A
Question: In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 52, what is the greatest possible value of B × A?
Choices:
5
10
15
22
Answer: D
Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 78, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement?
Choices:
2K+39
(78+K)/2
(78-K)/2
2(78-K)
Answer: B
Question: A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 10 articles to be sold at the cost price of 9 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed?
Choices:
55%
60%
66+(2/3)%
80%
Answer: C
Question: Juan is a gold medalist in athletics. In the month of May, if Juan takes 8 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
8x/y
9x/y
12x/y
13x/y
Answer: A
Question: Two pipes P and Q can fill a cistern in 11 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
1/4
2/4
10/11
1/4
Answer: C
Question: Find the average of all even numbers upto 75.
Choices:
36
38
34
37
Answer: B
Question: The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?
Choices:
36 kg
32 kg
31 kg
96 kg
Answer: A
Question: The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 88 and Rs. 80 respectively. The sum is:
Choices:
880
1600
1800
None
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 21 seconds. The ratio of their speeds is?
Choices:
3/2
2/3
3/5
5/2
Answer: B
Question: 6 letters have to be put into their 6 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes?
Choices:
1/720
1/120
1/240
3/5
Answer: A
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.34, the number of 25 paisa coins is?
Choices:
31
32
34
38
Answer: C
Question: The expression (11.98 × 11.98 + 11.98 × x + 0.02 × 0.02) will be a perfect square for x equal to
Choices:
0.2
0.04
0.4
4
Answer: B
Question: The owner of a furniture shop charges his customer 15% more than the cost price. If a customer paid Rs. 8325 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.7239.13
Rs.6908
Rs.6725
Rs.6728
Answer: A
Question: Sam took a loan from his local bank to support his small business. He is expected to double the amount he paid the previous month till he repays a total of $128000. His first payment is $250.
Choices:
14
12
13
15
Answer: C
Question: What is the smallest number which when increased by 3 is divisible by 18, 70, 100 and 84?
Choices:
5647
5927
6297
6557
Answer: C
Question: Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, G, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?
Choices:
16
17
20
26
Answer: B
Question: The C.P of 30 books is equal to the S.P of 40 books. Find his gain% or loss%?
Choices:
24%
25%
50%
40%
Answer: B
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Choices:
154546
165454
186545
220030
Answer: D
Question: A certain manufacturer sells its products	to stores in 113 different	regions worldwide, with an average (arithmetic mean) of 171 stores per region. If last year these stores sold an	average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product	sold	worldwide last	year?
Choices:
10^6
10^7
10^8
10^9
Answer: D
Question: How many keystrokes are needed to type numbers from 1 to 200?
Choices:
500
492
200
None of these
Answer: B
Question: Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?
Choices:
1/3
1/6
1/8
1/9
Answer: A
Question: A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt
Choices:
680
267
299
271
Answer: A
Question: Two pipes can fill a tank in 15 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
1/16
1/11
1/9
1/12
Answer: C
Question: The average (arithmetic mean) of four numbers is 4x + 9. If one of the numbers is x, what is the average of the other three numbers?
Choices:
3x + 3
5x + 1
5x + 4
5x + 12
Answer: D
Question: How many litres of pure acid are there in 15 litres of a 20% solution
Choices:
5
2
3
1
Answer: C
Question: We have 20 thousand dollars that must be invested among 4 possible
mutual funds. Each investment must be in units of 1 thousand dollars,
and there are minimal investments that need to be made if one is to
invest in these funds. The minimal investments are 2, 2, 3 and 4 thou-
sand dollars. How many dierent investment strategies are available if
an investment must be made in each mutual fund?
Choices:
220
260
280
300
Answer: A
Question: A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?
Choices:
45 m
54 m
77 m
34 m
Answer: A
Question: what is the least number by which 16,800 must be divided to get a number perfect square
Choices:
42
24
40
45
Answer: A
Question: What is the value of (44444445*88888885*44444442+44444438/44444444^2)
Choices:
88888883
88888885
88888886
88888873
Answer: A
Question: The concentration of spirit in three different vessels A, B and C are 45%, 30% and 25% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
Choices:
32%
34%
35%
36%
Answer: A
Question: A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 830 in 4 years. The
rate on interest per annum is.
Choices:
5.55%
7.66%
7.0%
3.75%
Answer: D
Question: A person crosses a 800 m long street in 5 minutes. What is his speed in km per hour?
Choices:
2.86
4.36
9.25
9.61
Answer: D
Question: If the average (arithmetic mean) of (2a+16) and (3a-8) is 89, what is the value of a?
Choices:
30
28
34
42
Answer: C
Question: A regular nine side is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
Choices:
54 degrees
72 degrees
70 degrees
108 degrees
Answer: C
Question: Find the greatest number which leaves the same remainder when it divides 25, 50 and 120.
Choices:
5
12
16
None of these
Answer: A
Question: Ayesha's father was 28 years of age when she was born while her mother was 20 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
12 years
8 years
10 years
Answer: B
Question: A can do a piece of work in 10 days and B alone can do it in 15 days. How much time will both take to finish the work ?
Choices:
7 days
6 days
9 days
3 days
Answer: B
Question: What is the mass of the man, if a boat of length 4m, width 1.5m floating on a river sinks by 0.015 m when the man gets on the boat?
Choices:
90kg
80kg
70kg
None of these
Answer: A
Question: Which of the following is equal to 1(1/4)%?
Choices:
0.12/100
1.25/100
12/100
12/10
Answer: B
Question: The H.C.F. of two numbers is 12 and their difference is 12. The numbers are :
Choices:
70, 82
94, 106
84, 96
None of these
Answer: C
Question: The median annual household income in a certain community of 21 households is $50,000. If the mean E income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?
Choices:
$60,000
$60,500
$65,000
Cannot be determined
Answer: D
Question: A group of 3 CEOs and 2 employees recently frequented the Bohemian Ala Restaurant. The total bill for the meal, including 20% gratuity, came to $600. On average, how much did the meal of each individual cost before gratuity?
Choices:
$96
$90
$10
$55
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
2/113
1/216
3/114
None
Answer: B
Question: P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in
Choices:
25 days
20 days
15 days
24 days
Answer: A
Question: Sahil purchased a machine at Rs 10000, then got it repaired at Rs 5000, then gave its transportaƟon
charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it
Choices:
Rs. 24000
Rs. 26000
Rs. 28000
None of these
Answer: A
Question: If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a - b - c ?
Choices:
2
-1
-3
-4
Answer: D
Question: Two cars A and B start from Boston and New York respectively simultaneously and travel towards each other at constant speeds along the same route. After meeting at a point between Boston and New York the two cars A and B proceed to their respective destinations of New York and Boston. Car A reaches New York 100 minutes after the two cars have met and Car B reaches Boston 90 minutes after they have met. How long did Car A take to cover the distance between Boston and New York?
Choices:
1 hour 10 minutes
2 hours 30 minutes
1 hour 40 minutes
2 hours 40 minutes
Answer: D
Question: In a kilometer race, A beats B by 48 meters or 12 seconds. What time does A take to complete the race?
Choices:
238 sec
667 sec
167 sec
176 sec
Answer: A
Question: In how many ways Principal and a vice Principle can be elected from a team of 20 members?
Choices:
380 ways
830
840
540
Answer: A
Question: Set A of 8 positive integers may have the same element and have 36. And set B of 8 positive integers must have different elements and have 36. When m and n are the greatest possible differences between 36 and other elements’ sums in set A and set B, respectively, m-n=?
Choices:
21
23
25
26
Answer: A
Question: John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount Z of dollars he could have spent for the $12 tickets?
Choices:
$60
$84
$96
$120
Answer: A
Question: Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
Choices:
254
265
340
512
Answer: D
Question: Find the largest 4 digit number which isexactly divisible by 88?
Choices:
8950
9944
10000
10200
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/39
23/32
23/31
Answer: A
Question: By selling a watch for Rs. 720/- a man loses 20% at what price should he sell it to gain 10%?
Choices:
Rs.880/-
Rs.900/-
Rs.990/-
None of these
Answer: C
Question: 7, 10, 8, 11, 9, 12, ?
Choices:
12
10
9
8
Answer: B
Question: An unbiased die is tossed.Find the probability of getting a multiple of 3.
Choices:
4/3
1/3
2/3
1/2
Answer: B
Question: To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables w are there in the warehouse?
Choices:
6
10
15
30
Answer: A
Question: Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
10 minutes
9 minutes
7 minutes
8 minutes
Answer: D
Question: The present worth of Rs.845 due in 2 years at 4% per annum compound interest is
Choices:
Rs.154.75
Rs.781.25
Rs.158
None
Answer: B
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
1
10
19
8
Answer: C
Question: Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at thrice Maria’s rate, they would take only 20 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?
Choices:
1 hr 7 min
2 hr
2 hr 20 min
3 hr
Answer: A
Question: A fair gold coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?
Choices:
A)37/256
C)65/256
D)70/256
E)81/256
Answer: A
Question: Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?
Choices:
180
360
540
720
Answer: A
Question: A train running at the speed of 52 km/hr crosses a pole in 18 seconds. What is the length of the train?
Choices:
180 metres
260 metres
150 metres
100 meters
Answer: B
Question: When a train travels at a speed of 60kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Choices:
75km
60km
85km
95km
Answer: A
Question: A jogger running at 9 kmph along side a railway track is 250 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Choices:
37 sec
36 sec
72 sec
None of these
Answer: A
Question: What is the next number of the following sequence
7776,625,64,9,2
Choices:
1
3
4
5
Answer: A
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 35 minutes, then the slower pipe alone will be able to fill the tank in
Choices:
140 mins
136 mins
132 minw
None of these
Answer: A
Question: In a division sum,the divisor is 10 times the quotient and 5 times the remainder.If the remainder is 46,what is the dividend ?
Choices:
5336
6524
3526
4526
Answer: A
Question: If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in 30 overs in an ideal case scenario?
Choices:
993
985
996
None
Answer: A
Question: 3.5 can be expressed in terms of percentage as?
Choices:
3.5%
35%
350%
0.0035%
Answer: C
Question: If X = Z*Y/Y, -10 < Z < 0 and 5 < Y, which of the following is correct?
Choices:
0 < X <9.
-9 < X < 0
X < -10.
X>-10
Answer: D
Question: Dacid obtained 70, 63, 80, 63 and 65 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
26
87
26
68
Answer: D
Question: What is the median from the below series
101, 105, 103, 109, 107, 110, 115, 113, and 114
Choices:
107
101
113
109
Answer: D
Question: In what time a debt of Rs.7920 due may be cleared by immediate cash down
payment of Rs.3600 at 1/2% per month
Choices:
20years
30years
40years
50years
Answer: A
Question: Three grades of milk are 1 percent, 5 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 5 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 7 percent grade, what is x in terms of y and z?
Choices:
-1y - 2z
2y + 3z
3y + z
3y + 4.5z
Answer: A
Question: A tank is filled by 3 pipes A,B,C in 6 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
Choices:
42hr
40hr
20hr
50hr
Answer: A
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 20 seconds. Find the length of the faster train?
Choices:
277
200
257
271
Answer: B
Question: If you roll one fair six-sided die, what is the probability that the number is even or less than 5?
Choices:
5/6
1/2
2/3
1/6
Answer: A
Question: A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
Choices:
170
180
200
220
Answer: C
Question: The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
Choices:
28
23
28
21
Answer: B
Question: Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
Choices:
24 years
27 years
16 years
09 years
Answer: A
Question: The ratio of the earnings of P and Q is 9 : 10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
Choices:
3/2
3/9
3/1
3/5
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 210 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
45
36
80
12
Answer: A
Question: Given that 100.48 = x, 100.70 = y and xz = y², then the value of z is close to
Choices:
1.45
2.2
2.9
NOne
Answer: C
Question: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
13/35
18/36
18/16
18/31
Answer: A
Question: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 50 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. Harvesting machine K harvested how many acres of wheat per hour?
Choices:
5
12
13
15
Answer: A
Question: The average of ten numbers is 8. If each number is multiplied by 8, then what is the average of the new set of numbers?
Choices:
16
64
80
88
Answer: B
Question: If x is to be chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {7,8,9}, what`s the probability that xy will be even?
Choices:
2/3
1/2
1/6
5/6
Answer: A
Question: Find the solution set of the equation x2+x+2=0 in roster form
Choices:
{1,-2}
{1,1}
{1}
none
Answer: A
Question: If an integer n is to be selected at random from 1 to 99, inclusive, what is probability n(n+1) will be divisible by 3?
Choices:
1/3
1/2
2/3
3/4
Answer: C
Question: Find the compound interest on $ 56,000 at 20% per annum for 9 months, compounded quarterly
Choices:
2552
6524
8827
9512
Answer: C
Question: A train overtakes two girls who are walking in the opposite direction in which the train is going at the rate of 3 km/h and 6km/h and passes them completely in 36 seconds and 30 seconds respectively. The length of the train is:
Choices:
150m
125m
None of these
Cannot be determined
Answer: A
Question: A set of data consists of the following 8 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers?
Choices:
4 and 4
3 and 5
2 and 6
0 and 8
Answer: A
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked six 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choices:
300
480
350
400
Answer: B
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
Choices:
1,20,000
1,20,001
1,20,027
1,20,004
Answer: A
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
17/35
19/35
None of these
Answer: A
Question: What is the square root of 239,121?
Choices:
489
497
511
524
Answer: A
Question: If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 94 percent in some time period, which of the following could be the final mass of that element?
Choices:
27 grams
29 grams
31 grams
32 grams
Answer: A
Question: Boy sells a book for Rs. 450 he gets a loss of 10%, find CP of the book?
Choices:
Rs.450
Rs.500
Rs.550
Rs.600
Answer: B
Question: What is the smallest number which when increased by 3 is divisible by 27, 35, 25, & 21 ?
Choices:
4722
4728
4731
4733
Answer: A
Question: A pipe can empty 2/3rd of a cistern in 12 mins. In 8 mins, what part of the cistern will be empty?
Choices:
2/5
4/9
5/7
4/11
Answer: B
Question: If 2^k + 2^k = (2^9)^(2^9) - 2^k, then k = ?
Choices:
11/2
2^11 - 1
3^10
3^11 - 1
Answer: B
Question: In a group of 10 doctors, 3 doctors are only pediatricians; the others are surgeons or general practitioners - but not both. A team of 3 doctors is to be chosen which must have at least 1 pediatrician, how many different teams can be chosen?
Choices:
85
60
80
75
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
Choices:
10
99
77
29
Answer: A
Question: Nicole cycles at a constant rate of 12 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Choices:
x/2
x
3x/2
2x
Answer: C
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 400 per sq.metre.
Choices:
Rs. 8,250
Rs. 15,600
Rs. 16,500
None
Answer: A
Question: If x, y, and a are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=a and if x is less than y, which of the following could be the value of a?
Choices:
12
15
18
30
Answer: C
Question: With out any halt a train travels a certain distance with an average speed of 66 km ph , and with halts it covers the same distance at an average speed of 33 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
Choices:
12min.
60min.
18min.
19min.
Answer: B
Question: After 76 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Choices:
4 liters
3 liters
2 liters
6 liters
Answer: A
Question: A part-time employee’s hourly wage was increased by 15%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
Choices:
13%
25%
50%
100%
Answer: A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2000
2799
2098
2798
Answer: A
Question: If the curve represented by y = x^2 – 5x + t intersects with the x-axis at two points and one of the points is (–1, 0), what is the other point?
Choices:
(–2, 0)
(5, 0)
(6, 0)
(3, 0)
Answer: C
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 11,000?
Choices:
2,750,000,000
850,000
7,500,000
750,000,000
Answer: A
Question: 850 - (1500 ÷ ?) × 8/15 = 770
Choices:
B)10
C)15
D)26
E)17
Answer: A
Question: Two pipes can fill a tank in 10 minutes and 15 minutes. An outlet pipe can empty the tank in 30 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
7.5
8.0
8.5
9.0
Answer: A
Question: Find the odd man out.
41, 43, 47, 53, 61, 71, 73, 81
Choices:
88
27
81
01
Answer: C
Question: In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
0.7
0.45
0.3
0.25
Answer: A
Question: A reduction of 30% in the price of oil enables a house wife to obtain 3kgs more for Rs.700, what is the reduced price for kg?
Choices:
70
60
80
65
Answer: A
Question: City X has a population 7 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
Choices:
1:4
2:1
14:1
18:1
Answer: C
Question: The width of a rectangular hall is ½ of its length. If the area of the hall is 288 sq.m, what is the difference between its length and breadth?
Choices:
10m
12m
15m
17m
Answer: B
Question: The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 2 shirts each of them then average number of shirt each of them now has
Choices:
63
62
64
61
Answer: B
Question: If 5% more is gained by selling an article for Rs. 1000 than by selling it for Rs. 20, the cost of the article is?
Choices:
1600
1200
1680
1800
Answer: A
Question: Of the 800 employees of Company X, 80 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 60 percent ?
Choices:
160
400
80
56
Answer: B
Question: The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X , Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?
Choices:
5 : 3 : 2
10 : 7 : 4
10 : 8 : 5
None of these
Answer: A
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
9 min
5 min
8 min
10 min
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 1/8%
11 1/9%
11 9/9%
14 1/9%
Answer: B
Question: A man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph, find his average speed for the total journey ?
Choices:
5 kmph
5.5 kmph
4 kmph
7 kmph
Answer: B
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 6 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
35
75
78
90
Answer: C
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 19. What is the last numbers?
Choices:
4
6
8
7
Answer: C
Question: If 30 men take 15 days to to complete a job, in how many days can 25 men finish that work?
Choices:
18
16
15
14
Answer: A
Question: If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of m + 2n?
Choices:
18
20
25
40
Answer: D
Question: Four years back, a father was 32 years older than his son. At present the father is 3 times as old as the son. How old will the son be three years from now?
Choices:
17 years
18 years
19 years
20 years
Answer: C
Question: Nine people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/8
1/3
1/7
1/9
Answer: A
Question: Today is Monday. After 61 days, it will be
Choices:
Sunday
Monday
Saturday
Friday
Answer: C
Question: A bag holds 4 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
Choices:
4/14
3/10
2/5
1/2
Answer: A
Question: If y = x^2 + rx + s, y is minimum when x is:
Choices:
-r/s
-r/2
-s/2
s/r
Answer: B
Question: For dinner at a restaurant, there are x choices of appetizers, y main courses, and z+ 1 choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Choices:
xyz + xy
xy + z + 1
xyz + 1
xyz + 1/2
Answer: A
Question: There are 14 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
Choices:
36/91
25/71
15/61
5/31
Answer: A
Question: A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 8 people to travel x miles if he decides to give them a 50% discount?
Choices:
3x/200r
3r/200x
xr/25
xr/600
Answer: C
Question: A customer purchased a package of ground beef at a cost of $1.80 per pound. For the same amount of money, the customer could have purchased a piece of steak that weighed 25 percent less than the package of ground beef. What was the cost per pound of the steak?
Choices:
$2.15
$2.30
$2.40
$2.65
Answer: C
Question: if x:y = 1:4, then find the value of
(7x+3y):(2x+y)
Choices:
15:5
16:5
19:6
None of these
Answer: C
Question: The NASDAQ index has decreased by 70% since year 2000. How much should the index increase in order to gain the same value as in year 2000 ?
Choices:
80%
233%
60%
None of the above
Answer: B
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 70, then the average marks of all the students is:
Choices:
54.68
57.5
56
None of these
Answer: B
Question: If f(x)=x^2 and x is a positive integer, which of the following CAN be the value of f(f(x))?
Choices:
17
81
144
258
Answer: B
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
Choices:
26
24
22
30
Answer: A
Question: How many 6-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example
Choices:
610
729
900
1000
Answer: C
Question: if r is radius of a circle and perimeter of circle is 12π.calculate r+2r-(r/2).
Choices:
15
12
6
18
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150
277
288
271
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 125, the runs scored by B are?
A. 15 B. 18
Choices:
18
30
77
24
Answer: B
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child?
Choices:
9 years
10 years
4 years
5 years
Answer: B
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Choices:
12%
16%
20%
22%
Answer: A