antoine-444/aqua_rat_dataset huggingface dataset:
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?
Choices:
6
7
8
23
Answer: B
Question: In one hour, a boat goes 13 km/hr along the stream and 9 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
11 kmph
14 kmph
15 kmph
16 kmph
Answer: A
Question: If A and B get profits of Rs.6,000 and Rs.4,000 respectively at the end of year then ratio of their investments are
Choices:
1:4
3:2
2:3
2:5
Answer: B
Question: The area of a parallelogram is 162sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
9
7
6
5
Answer: A
Question: A can run 224 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
Choices:
28 metre
23 metre
15 metre
28 metre
Answer: A
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Choices:
40 m
20 m
10 m
30 m
Answer: B
Question: Difference of two numbers is 1660. If 7.5% of the number is 12.5% of the other number, find the number ?
Choices:
2500
3250
4150
5250
Answer: C
Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choices:
25 days
18 days
20 days
21 days
Answer: B
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is
Choices:
110 gallons
120 gallons
130 gallons
140 gallons
Answer: B
Question: A company bought for its 8 offices 2 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
Choices:
210
256
292
560
Answer: D
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
27
40
88
21
Answer: B
Question: Of the 800 employees of Company X, 70 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 40 percent ?
Choices:
400
112
80
56
Answer: A
Question: 20% of an 30% salt solution is replaced with water. From the resulting solution, again 20% is replaced with water. This step is repeated once more. What is the concentration of salt in the final solution obtained
Choices:
15.36%
20%
9.72%
11.64%
Answer: A
Question: The difference between the simple interest received from two different sources on 1500 for 3 years is 13.50. The difference between their rates of interest is:
Choices:
0.2%
0.3%
0.4%
None of these
Answer: B
Question: A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?
Choices:
126
26
9
8
Answer: A
Question: (228% of 1265) ÷ 6 = ?
Choices:
B)175
C)481
D)375
E)524
Answer: B
Question: While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 9° east of north, in what direction was it originally flying?
Choices:
(b) 30° east of north
(c) 16° west of north
(d) 16° east of north
(e) 5° west of north
Answer: B
Question: If a Poultry firm sells 15 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 3 days 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:
90
80
70
60
Answer: D
Question: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Choices:
255 miles
258 miles
265 miles
245 miles
Answer: A
Question: The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/8 of that total. What was the price of the basic computer?
Choices:
1600
1750
1900
2125
Answer: D
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
77
60
88
12
Answer: B
Question: Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 40 percent ryegrass, what percent of the weight of this mixture is X ?
Choices:
100%
40%
50%
66.66 %
Answer: A
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
108 kmph
176 kmph
134 kmph
161 kmph
Answer: A
Question: If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 18?
Choices:
2
3
4
5
Answer: C
Question: In a urban village of india named "owlna" , 75% people have refrigerator , 90% people have television , 85% people got computers and 75% got Air-conditionor. how many people(minimum) got all these luxury.
Choices:
17%
11%
10%
25%
Answer: D
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 15 sec. What is the length of the fast train?
Choices:
83 7/4 m
83 7/2 m
83 1/3 m
83 7/7 m
Answer: C
Question: A corporation double its annual bonus to 100 of its employees. What percent of the employees’ new bonus is the increase?
Choices:
50%
8%
6%
5%
Answer: A
Question: i row from a to b against the current in 8 hrs and from b to a in 2 hrs if speed of river is 9 m/sec.what is the speed of boat in still water.
Choices:
15 m/sec
25 m/sec
18 m/sec
20 m/sec
Answer: A
Question: Danny is sitting on a rectangular box. The area of the front face of the box is half the area of the top face, and the area of the top face is 1.5 times the area of the side face. If the volume of the box is 5184, what is the area of the side face of the box?
Choices:
167
178
199
288
Answer: D
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.72000 after completion of one year. What will be Jose's share of profit?
Choices:
10000
25000
34000
40000
Answer: D
Question: 476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:
Choices:
7 and 5
8 and 5
6 and 4
5 and 8
Answer: B
Question: A man is 30 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Choices:
28 years
21 years
20 years
19 years
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
2899
1200
2781
2782
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
8828
2387
2813
Answer: A
Question: A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 12 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720?
Choices:
$64.80
$90.00
$100.80
$134.40
Answer: D
Question: At a certain supplier, a machine of type A costs $25,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
Choices:
$0
$12,000
$12,800
$13,200
Answer: A
Question: In a box, there are 3 grey, 5 brown and 2 yellow pencils. One pen is picked up randomly. What is the probability that it is neither brown nor yellow?
Choices:
3/5
3/10
3/4
3/11
Answer: B
Question: A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is?
Choices:
2%
5%
9%
1%
Answer: B
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
Choices:
754
456
123
729
Answer: D
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 8 years older than B the present age of B is
Choices:
38
39
40
41
Answer: A
Question: If y^2 - x^2 = 2xy, then (x+y)^2 =
Choices:
3x^2
4xy
2y^2
-y^2
Answer: C
Question: If 1 persons can do 1 times of a particular work in 1 day, then, 7 persons can do 7 times of that work in
?
Choices:
1 day
9 days
11 days
15 days
Answer: A
Question: The speed of a train is 94 kmph. What is the distance covered by it in 12 minutes?
Choices:
11 kmph
88 kmph
19 kmph
12 kmph
Answer: C
Question: 5, 9, 17, 29, 45, ?
Choices:
65
74
57
32
Answer: A
Question: What is the two-digit number? I. The difference between the two-digit number and the number formed by interchanging the digits is 27. II. The difference between the two digits is 3. III. The digit at unit's place is less than that at ten's place by 3.
Choices:
II and III only
all
Even with all I, II and III, answer cannot be give.
I and either II or III
Answer: C
Question: During a two-week period, the price of an ounce of silver increased by 10 percent by the end of the first week and then decreased by 10 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?
Choices:
0.98x
0.99x
x
1.01x
Answer: B
Question: In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a one or five on either die, that player wins. What is the probability that a player wins after playing the game once?
Choices:
4/9
3/4
2/3
5/9
Answer: D
Question: By selling an article at Rs.600, a profit of 60% is made. Find its cost price?
Choices:
267
375
480
811
Answer: B
Question: The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose?
Choices:
(10 + 10/143 )min
(10 + 19/143 )min
(90 + 10/143 )min
(10 + 10/193 )min
Answer: A
Question: If d is the mean of x, y, and z, what is the mean of x + 5, y + 5, z + 5 ?
Choices:
3d
15d
d + 5
d + 15
Answer: C
Question: The remainder of the division of a number by 63 is 27. What will be the remainder when that number is divided by 8?
Please explain
Choices:
5
6
2
8
Answer: C
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.2
2.12
2.25
Answer: A
Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two visitors will buy a pack of candy?
Choices:
0.147
0.189
0.063
0.027
Answer: B
Question: Which of the following is closest to the difference between sum R of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
Choices:
2.72
1.82
1.72
0.82
Answer: C
Question: If a - b = 4 and a2 + b2 = 18, find the value of ab.
Choices:
1
2
18
19
Answer: A
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 60 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
2 hours
2 hours 10 minutes
Answer: C
Question: The marked price of an article is 10% higher than the cost price. A discount of 10% is given on the marked price. In this kind of sale, the seller:
Choices:
gains 1%
loses 1%
None of these
Can't be determine
Answer: B
Question: The sale price sarees listed for Rs.400 after successive discount is 30% and 20% is?
Choices:
879
342
762
224
Answer: D
Question: A shopkeeper sold an book offering a discount of 5% and earned a profit of 30%. What would have been the percentage of profit earned if no discount was offered?
Choices:
120
130
136.8
150
Answer: C
Question: How many digits 2^200 has?
Choices:
61
50
99
101
Answer: A
Question: Enzo is flying to Austria on vacation. He wants to bring several pairs of shoes with him. He knows each shoe's individual weight (x = weight as an integer). Choose an equation, that Enzo can use later in another equation, to find how many pairs of shoes he can take on his trip. So, this equation must result in an even number. What equation is true?
Choices:
(2x + 1)(2x + 1) = even
(1/2)(4x + 2) = even
(1/2)(4x + 2)(2x + 1) = even
(2x)(2x + 1) = even
Answer: D
Question: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 4H, which of the following represents the amount that Roberta paid?
Choices:
D + H – 1
D + 2H
4.97H
1.21D
Answer: C
Question: The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.1430. The perimeter of the plot is?
Choices:
156
190
321
220
Answer: D
Question: Compare the rates of two trains, one travelling at 90 km/hr and other is at 50m/s?
Choices:
1:2
1:3
3:1
2:3
Answer: A
Question: The mean of set U does not exceed mean of any subset of set U. Which of the following must be true about set U?
I. Set U contains only one element
II. All elements in set U are equal
III. The median of set U equals the mean of set U
Choices:
II only
III only
II and III only
I, II, and III
Answer: C
Question: A car travels from P to Q at a constant speed. If its speed were increased by 20km/hr, it would have taken two hour lesser to cover the distance. It would have taken further 30 minutes lesser if the speed was further increased by 10 km/hr. The distance between the two cities
Choices:
120 km
150 km
180 km
None of these
Answer: B
Question: A restaurant spends one third of its monthly budget for rent and one third of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
Choices:
32.5%
22.2%
37.5%
75%
Answer: C
Question: The expression (5x+2)/(x+3) is equivalent to which of the following?
Choices:
5 – (2/3)
5 – (x)/(x+3)
5 – (13)/(x+3)
5 + (17)/(x+3)
Answer: C
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A. 30% B. 35%
Choices:
50%
40%
48%
20%
Answer: B
Question: If the cost price is 98% of sp then what is the profit %
Choices:
4%
2.7%
2.04%
2.08%
Answer: C
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.83902
Rs.14372
Rs.14000
Rs.42611
Answer: C
Question: The average of 64 numbers is 48. If two numbers namely 35 and 45 are discarded, The average of
remaining numbers is?
Choices:
37.5
39.5
34.5
47.9
Answer: D
Question: A certain meter records voltage between 0 and 10 volts inclusive. If the average value of 3 recordings on the meter was 7 volts, what was the smallest possible recording in volts?
Choices:
3
4
5
6
Answer: A
Question: A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 30 photos?
Choices:
5 films and 6 photos
5 films and 14 photos
6 films and 4 photos
3 films and 28 photos
Answer: D
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.60 sec
3.75 sec
2.9 sec
9.50 sec
Answer: B
Question: Population of a city in 20004 was 1000000. If in 2005 there isan increment of 20% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Choices:
1131000
980241
2356677
1083875
Answer: A
Question: An unbiased coin is tossed 5 times. Find the chance that head will appear exactly 3 times.
Choices:
10/16
5/16
5/32
6/34
Answer: B
Question: 1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
Choices:
18 days
32 days
16 days
17 days
Answer: B
Question: In a garden, 26 trees are planted at equal distances along a yard 800 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
Choices:
8
32
14
16
Answer: B
Question: A grocery store bought some apples at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar. What was the ratio of the number of apples in the two stacks if the store broke even after having sold all of its apples?
Choices:
1:5
1:4
1:2
2:5
Answer: B
Question: A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 60 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?
Choices:
33
50
51
60
Answer: D
Question: Milton has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
Choices:
56
50
48
49
Answer: B
Question: 70% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 90 percent have washing machines. At least what percentage of employees has all four gadgets?
Choices:
(a) 15%
(c) 10%
(d) 20%
(e) 25%
Answer: A
Question: If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 8, what is the greatest number of four-digit extensions that the company can have?
Choices:
6
12
16
24
Answer: B
Question: In a certain sequence, the first term is 5, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Choices:
21/13
8/5
5/8
28/17
Answer: D
Question: If 4/(1 + 3/x) = 1, then x =
Choices:
1
1/3
-1/3
-3
Answer: A
Question: A fair 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 six times?
Choices:
56/256
65/256
9/256
81/256
Answer: C
Question: There are two alloys madeup of copper and aluminium. In the first alloy copper is half as much as aluminium and in the second alloy copper is thrice as much as aluminium. How many times the second alloy must be mixed with first alloy to get the new alloy in which
copper is twice as much as aluminium?
Choices:
3
4
5
6
Answer: B
Question: Find the odd man out: 8, 12, 16, 21, 24, 28, 32
Choices:
21
28
32
nacho cheese
Answer: A
Question: If P is a prime number greater than 3, what is the remainder when P^2 is divided by 4.
Choices:
1
2
4
Cannot be determined
Answer: A
Question: The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 420 m, its area is?
Choices:
882
277
210
281
Answer: C
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 61900. What is his profit percent?
Choices:
77
18
99
12.5
Answer: D
Question: A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 5 meters apart,then at what speed is the train traveling?
Choices:
110km/hr
50km/hr
150km/hr
200km/hr
Answer: C
Question: An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.18522/- in 3 years at the same rate of interest. Find the rate percentage?
Choices:
1
5
3
10
Answer: B
Question: As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, four orange ice pops, and four lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous of the other and getting even more upset. What is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
5/7
8/11
11/15
13/20
Answer: B
Question: If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the followings are divisible by 11?
Choices:
4x - 9y
4x + 6y
9x + 4y
8x + 4y
Answer: A
Question: If the sum of a number and its square is 272, What is the number?
Choices:
16
25
87
171
Answer: A
Question: If x and y are positive integers such that y is a multiple of 5 and 3x + 8y = 700, then x must be a multiple of which of the following?
Choices:
6.
7.
8.
10.
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/459
1/455
1/451
Answer: A
Question: The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?
Choices:
1/48
1/98
3/350
1/68
Answer: C
Question: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 60 feet wide by 100 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
Choices:
1400
1200
800
1000
Answer: C
Question: Rs.1210 were divided among 3 person P, Q, R so that P:Q=5:4 and Q: R=9:10. Then R gets the amount?
Choices:
Rs.400
Rs.480
Rs.500
Rs.520
Answer: A
Question: If 40 men can make 30 boxes in 20 days, How many more men are needed to make 60 boxes in 25 days?
Choices:
24
22
26
28
Answer: A
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choices:
1:4
6:2
3:1
1:3
Answer: A
Question: 10 play kabadi, 30 play kho kho only, 5 play both gmaes. Then how many in total?
Choices:
35
38
40
45
Answer: C
Question: A train running at the speed of 300 km/hr crosses a pole in 15 seconds. What is the length of the train?
Choices:
1250 m
1300 m
1350 m
1450 m
Answer: A
Question: A superhero flies at an incredible rate of 1000 kilometers per minute. What is her speed in miles per hour? [1km = 0.6 miles]
Choices:
36000
60000
600
3600
Answer: A
Question: Tickets numbered 1 to 30 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
7/15
10/30
7/30
8/30
Answer: A
Question: A train 125 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
60 km/hr
36 km/hr
26 km/hr
87 km/hr
Answer: A
Question: In Jonathan's pen there are 300 sheep's. 5/6 of the sheep's are white, 2/3 of the sheep's have soft wool. What can't be the number of white sheep's that also have soft wool in the pen?
Choices:
100
190.
180.
160.
Answer: A
Question: The initial price of an article is Rs.2000 which increases 30% increse in its price in the first year,a 20% decrease in the second year and a 10% increase in the next year. What is the final price of the article ?
Choices:
Rs.1948
Rs.1848
Rs.2048
Rs.2148
Answer: B
Question: A certain truck uses 18 gallons of diesel fuel in traveling 240 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
Choices:
9
12
15
27
Answer: A
Question: A fast food company plans to build 4 new restaurants. If there are 12 sites that satisfy the company's criteria for location of new restaurant, in how many different ways can company select the 4 sites needed for the new restaurant if the order of selection doesn't matter.
Choices:
288
495
990
11880
Answer: B
Question: The average mark of a class of twenty students is 64. If three students whose marks are 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class.
Choices:
74
57
70
80
Answer: C
Question: A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 8% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.
What is the probability that a smartphone bundle that will be rejected by quality control?
Choices:
.05^10
1-0.92^10
1-0.05^10
0.95^10
Answer: B
Question: Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y?
Choices:
3468
4500
4876
5184
Answer: D
Question: {(481 + 426)2 - 4 x 481 x 426} = ?
Choices:
3025
3060
3210
None of these
Answer: A
Question: Indu gave Bindu Rs.625 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
1
7
4
9
Answer: A
Question: Magnabulk Corp sells boxes holding x magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
Choices:
bx/m
bx/(100m)
m/(bx)
100m/(bx)
Answer: D
Question: in how many ways u can form a group of 11 members from 5 men and 11 women if the men member not more than 3?
Choices:
2256 ways
3456
4456
1554
Answer: A
Question: A person was fined for exceeding the speed limit by 10 km/hr.Another person was also fined for exceeding the same speed limit by twice the same.If the second person was traveling at a speed of 35 km/hr,find the speed limit.
Choices:
15
76
29
12
Answer: A
Question: The total age of A and B is 11 years more than the total age of B and C. C is how many year younger than A
Choices:
11
13
14
15
Answer: A
Question: 3-3*5+2=
Choices:
B)-10
C)-18
D)-17
of the above
Answer: A
Question: In the Hillside summer camp there are 60 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Choices:
45.
40.
60.
25.
Answer: C
Question: If n is a positive integer, what is the remainder when (7^(4n+3))(3^n) is divided by 10?
Choices:
2
4
6
8
Answer: A
Question: When 6 + 2 = 85, 8 + 3 = 115, 7 + 5 = 125, then 5 + 8 = ?
Choices:
185
245
135
140
Answer: C
Question: A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 8 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose?
Choices:
2.6
6.3
8
10
Answer: A
Question: How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Choices:
6
7
8
None of these
Answer: A
Question: For all numbers c and d, the operation @ is defined by c@d = c^2 - cd. If xy ≠ 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y)
Choices:
I and II
I and III
II and III
All of the above
Answer: A
Question: Have a look at the formula P = nRT/V.
if R is doubled, T is doubled and V is quadrupled, by what factor does P change.
Choices:
1
3
4
5
Answer: A
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 7 minutes earlier. How far is the office from his house?
Choices:
3 Km
4 1/5 Km
5 1/5 Km
None
Answer: A
Question: One fill pipe A is 3 times faster than second fill pipe B and takes 10 minutes less time to fill a cistern than B takes. Find when the cistern will be full if fill pipe B is only opened.
Choices:
18 min
15 min
10 min
None of these
Answer: B
Question: Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 40 phone numbers by using the readable digits followed by 40 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly?
Choices:
10/243
4/27
10/271
1/1000000
Answer: B
Question: What is the least integer greater than 0+0.5?
Choices:
–1
0
1
2
Answer: C
Question: Mathematics, physics, and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many mathematics books as physics books and the number of physics books is 4 greater than that of the chemistry books. Ricardo selects 1 book at random from the shelf, reads it in the library, and then returns it to the shelf. Then he again chooses 1 book at random from the shelf and checks it out in order to read at home. What is the probability Ricardo reads 1 book on mathematics and 1 on chemistry?
Choices:
6%
12percent
20%
24%
Answer: B
Question: A train covers a certain distance at a speed of 200kmph in 4 hours. To cover the same distance in 1 3/4 hours, it must travel at a speed of
Choices:
457km/hr
450km/hr
650km/hr
750km/hr
Answer: A
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 308 but three tickets from city A to B and two tickets from city A to C cost Rs. 292. What are the fares for cities B and C from A ?
Choices:
s. 8.2, Rs. 97.2
s. 15, Rs. 14
s. 17, Rs. 13
s. 17, Rs. 15
Answer: A
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
40,88
30,40
40,30
Answer: A
Question: What is the next number of the following sequence.
8, 8, 6, 2,.... ?
Choices:
-4
-6
-7
-8
Answer: A
Question: A train 500 m long passes a man, running at 9 km/hr in the same direction in which the train is going, in 20seconds. The speed of the train is:
Choices:
95
90
99
100
Answer: C
Question: How many ways are there for 3 males and 4 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
Choices:
36
72
100
720
Answer: A
Question: Think of a number, divide it by 6 and add 5 to it. The result is 17. What is the number thought of?
Choices:
72
297
267
29
Answer: A
Question: The distance from City A to City B is 180 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
Choices:
45
50
52
54
Answer: A
Question: If the perimeter of a rectangular garden is 1200 m, its length when its breadth is 240 m is?
Choices:
778 m
200 m
276 m
360 m
Answer: D
Question: It takes Johnson 10 minutes to walk to the car park and 20 min to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
5:50 a.m
7:50 a.m
6:50 a.m
8:30 a.m
Answer: D
Question: What is the least value of integer N such that N! is divisible by 888 ?
Choices:
88
31
37
D) 888
Answer: C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
886 cm2
285 cm2
266 cm2
226 cm2
Answer: B
Question: If -1 < x < 0, which of the following must be true?
I. x^4 < x^3
II. x^6 < 1 – x
III. x^5 < x^2
Choices:
II only
III only
II,III only
I,II,III only
Answer: D
Question: How many ways are there to arrange the letters in the word freelancer ?
Choices:
1260
3780
7560
655200
Answer: D
Question: In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 60, what is the least possible difference between n and m.
Choices:
b.3
c.5
d.7
e.9
Answer: B
Question: If the average of ten numbers is 20, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 20
Choices:
all three options
II
III
I&II
Answer: A
Question: A garrison of 500 men has provisions for 20 days. At the end of 14 days, a reinforcement arrives, and it is now found that the provisions will last only for 3 days more. What is the reinforcement?
Choices:
500
1500
3000
2000
Answer: A
Question: To be considered grade AD, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AD eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AD eggs are used, the shells are all discarded, and no mass is lost in the cooking process?
Choices:
840
864
900
1,080
Answer: A
Question: There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a black ball has been drawn, find the chance that it came from second group.
Choices:
6/35
8/25
28/43
3/5
Answer: C
Question: A work which could be finished in 10 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
15
88
71
11
Answer: A
Question: With out any halt a train travels a certain distance with an average speed of 55 km ph , and with halts it covers the same distance at an average speed of 30 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
Choices:
48 min.
15min.
18min.
19min.
Answer: A
Question: Simplify: 8755 x 95
Choices:
831725
875500
43775
87500
Answer: A
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
Choices:
6
12
24
None of these
Answer: B
Question: Ten coins are tossed simultaneously. In how many of the outcomes will the second coin turn up a head?
Choices:
2^9
3 * 2^8
3 * 2^9
3 * 2^10
Answer: A
Question: There are 80 people and 3 clubs M, S, and Z in a company. 20 people joined M, 22 people joined S and 15 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not
join any club?
Choices:
32
34
36
38
Answer: D
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Choices:
1/3
3/5
3/7
3/11
Answer: A
Question: The value of (34.5*0.473*1.567)/(0.0673*23.25*7.57) is close to
Choices:
1.15
2.05
2.16
2.35
Answer: C
Question: Three candidates contested an election and received 3000, 7500 and 6500 votes respectively. What percentage of the total votes did the winning candidate get ?
Choices:
45.5%
44.11%
85%
94.2%
Answer: B
Question: Albert has a box of crayons. Each box contains 20 different colored crayons. How many crayons does Albert have if he buys 2 additional boxes?
Choices:
20
80
120
60
Answer: D
Question: The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 9 months. At this time, the construction was behind schedule by how many projects?
Choices:
96
198
204
504
Answer: B
Question: Its not easy having a mathematics professor as a friend. When she invited you to her house she
says, “All the houses on my side of the street are numbered consecutively in even numbers. There are
Six houses on my Side of my block and sum of their numbers is 9870. You don’t know which block I
live on, and it’s a long street, but I will tell you that I live in the lowest number on my side of the block. What’s the number? Or are you just going to ring the first- numbered doorbell for twenty blocks?
Choices:
2777
199
1640
2912
Answer: C
Question: capacity of doing work of A is double than B.if both together finish a work in 12 days,then B alone in how many days will finish the work?
Choices:
27 days
36 days
48 days
30 days
Answer: B
Question: Find the value of 72519 x 9999 = m?
Choices:
235467889
766444332
725117481
235656788
Answer: C
Question: Look at this series: VI, 10, V, 11, __, 12, III, ... What number should fill the blank?
Choices:
IV
IX
14
12
Answer: A
Question: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
Choices:
10º
90º
130º
180º
Answer: A
Question: Which of the following is equal to the value of 2^2 + 2^2 + 3^2 + 3^2 + 3^2 ?
Choices:
2^4+ 3^5
2^3 + 3^3
2^4 + 3^3
2^3 + 3^5
Answer: B
Question: The number N is 5,H48, where H represents the hundred's digit. If N is divisible by 11, what is the value of H
Choices:
1
6
5
2
Answer: A
Question: The digital sum of a number is the sum of its digits. For how many of the positive integers 24-100 inclusive is the digital sum a multiple of 7?
Choices:
11
14
16
20
Answer: A
Question: In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a heart, and the point is to measure: how many draws did it take before the person picked a heart and won? What is the probability that one will have at least two “heartless” draws on the first two draws, not picking the first heart until at least the third draw?
Choices:
9/16
11/16
13/16
15/16
Answer: A
Question: Jim wishes to buy 3 gifts that cost 31 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts?
Choices:
$39
$7
$17
$27
Answer: A
Question: Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
20
24
26
27
Answer: A
Question: A truck carrying cans of soup contains P stacks. Each stack contains Q cases, and each case contains 3Q cans. How many cans of soup are contained in 6 trucks?
Choices:
18PQ^2
18P/Q^2
6Q^2/P
3PQ^2
Answer: A
Question: A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead and yellow bead. If the necklace begins with a red bead and ends with a white bead, then N could be:
Choices:
32
54
68
86
Answer: C
Question: The probability that a man will be alive for 10more yrs is 3/4 & the probability that his wife will alive for 10 more yrs is 3/7. The probability that none of them will be alive for 10 more yrs, is
Choices:
1
1/7
3/4
2
Answer: B
Question: How many hours in one year?
Choices:
52
1024
8760
No one knows
Answer: C
Question: If f(c)=c^2 and c is a positive integer, which of the following CANNOT be the value of f(f(c))?
Choices:
16
300
256
625
Answer: B
Question: Half of 6 percent written as decimal is
Choices:
0.5
0.05
0.005
0.03
Answer: D
Question: Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
9
4
1
Answer: C
Question: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
Choices:
9
3^5
25
215
Answer: B
Question: A goods train runs at the speed of 72 km/hr and crosses a 210 m long platform in 26 sec. What is the length of the goods train?
Choices:
782
278
310
881
Answer: C
Question: In a race with 9 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded?
Choices:
120
504
840
604,800
Answer: B
Question: Out of four numbers ,the average of first three is 20 and that of the last three is 15. If the last number is 18,the first number is :
Choices:
33
77
99
27
Answer: A
Question: If (a) '1 2 3' stands for 'These are girls', (b) '135' stands for 'girls are clever' and (c) '156' stands for 'clever girls sing', which numerical stands for 'clever'?
Choices:
4
2
3
5
Answer: D
Question: The length of minute hand of a clock is 5.4 cm. What is the area covered by this in 20 minutes
Choices:
16.27
17.27
30.54
30.27
Answer: C
Question: Evaluate: 55 - 12*3*2 = ?
Choices:
47
32
12
22
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
3529
3520
3501
Answer: A
Question: In an increasing sequence of 12 consecutive even integers, the sum of the first 4 integers is 268. What is the sum of all the integers in the sequence?
Choices:
668
774
888
990
Answer: C
Question: How many consonants are present between the first and sixth vowel in the sequence of English alphabet ?
Choices:
13
11
10
None of these
Answer: D
Question: What is the total surface area in square meters of a rectangular solid whose length is 5 meters, width is 4 meters, and depth is 1 meters?
Choices:
40 m2
50 m2
58 m2
62 m2
Answer: C
Question: Find the odd man out
864, 420, 200, 90, 40, 16, 6
Choices:
90
16
40
6
Answer: A
Question: Running at their respective constant rates, machine X takes 6 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?
Choices:
8
4
10
12
Answer: A
Question: In a certain quiz that consists of 8 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?
Choices:
39
44
48
52
Answer: A
Question: The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. Three pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ?
Choices:
12
24
32
120
Answer: B
Question: a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. 3a = b = 3c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
Choices:
131
394
424
969
Answer: A
Question: A man walking at a rate of 5km/hr crosses a bridge in 15 minutes. The length of the bridge is?
Choices:
1250m
1500m
1000m
1195m
Answer: A
Question: The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 14 years. The ratio of their ages after 8 years will be
Choices:
8 : 11
8 : 7
6 : 5
3 : 11
Answer: B
Question: If x is a sum of all even integers on the interval 13...45 and y is their number, what is the GCD (x, y)?
Choices:
16
26
52
1014
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2445?
Choices:
s.810
s.815
s.900
s.920
Answer: B
Question: 800 men have provisions for 20 days. If 200 more men join them, for how many days will the provisions last now?
Choices:
8
16
11
15
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 25%?
Choices:
25%
13 %
12.5%
13%
Answer: C
Question: The distance between two planets is 3.00 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)
Choices:
9.2 × 10^5
9.3 × 10^7
9.9 × 10^7
10.1 × 10^8
Answer: A
Question: The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
Choices:
77
48
99
61
Answer: B
Question: The average weight of a group of boys is 35 kg. After a boy of weight 40 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:
5
6
7
8
Answer: A
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
60
77
65
21
Answer: A
Question: A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item
Choices:
Rs. 760
Rs. 860
Rs. 960
None of these
Answer: C
Question: An alloy is to contain copper and zinc in the ratio 7 : 3. The zinc required (in kg) to be melted with 35 kg of copper, is?
Choices:
15
9 and 2/3
9
10
Answer: A
Question: In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?
Choices:
80%
58%
50%
60%
Answer: C
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
50%
57%
60%
65%
Answer: B
Question: If the President and Vice President must sit next to each other in a row with 8 other members of the Board, how many different seating arrangements are possible?
Choices:
632010
725760
705262
851032
Answer: B
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.204 less than the sum lent. What was the sum lent?
Choices:
278
300
500
821
Answer: B
Question: On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 18. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?
Choices:
(-5, -8)
(12, 4)
(3, 5)
(9, -4)
Answer: D
Question: Product of two natural numbers is 19. Then, the sum of reciprocals of their squares is
Choices:
1/289
290/90
362/361
None of these
Answer: C
Question: 5/8 of 3/10 of a number is greater than 4/9 of 1/4 of the same number by 55. What is half of that number?
Choices:
312
320
314
360
Answer: D
Question: The average of 30 numbers is 48. If three numbers namely 45, 55 and 43 are discarded, the average of remaining numbers is?
Choices:
47.03
48.03
48
49
Answer: B
Question: If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions R represents the final price of the item?
Choices:
R=(10,000z + 100z(x – y) – xyz)/10,000
R=(100z(x – y) – xyz)/10000
(100z(y – x) – xyz)/10000
10000 /(x – y)
Answer: A
Question: If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.67 per litre then what is the rate of mixed oil per litre?
Choices:
Rs.51.03
Rs.54.17
Rs.55.66
None of the above
Answer: C
Question: List K consists of 10 consecutive integers. If -3 is the least integer in list K, what is the range of the positive integers in list K?
Choices:
5
7
11
12
Answer: A
Question: At a dinner party, 8 people are to be seated around a circular table. Two seating arrangement are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
10
5040
3200
12000
Answer: B