antoine-444/aqua_rat_dataset huggingface dataset:
Question: If n = 3^6 – 2^8 which of the following is NOT a factor of n?
Choices:
43
1
43
5
Answer: D
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 20% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
Choices:
75%
86%
116%
150%
Answer: A
Question: if 5 men take an hour to dig a ditch, then how long should 12 men take a dig to ditch of the same type?
Choices:
25 min
28 min
20 min
10 min
Answer: A
Question: 47% of the students in a class of 42 students has glasses or contacts. How many students in the class have either glasses or contacts?
Choices:
16
17
18
20
Answer: D
Question: A certain industrial loom weaves 0.132 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?
Choices:
114
116
117
118
Answer: A
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12
13
14
15
Answer: A
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 54 kmph, find the speed of the stream?
Choices:
19 kmph
14 kmph
11 kmph
18 kmph
Answer: D
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:
Choices:
360 kmph
600 kmph
720 kmph
400 kmph
Answer: C
Question: Bob travels at an average speed of 12km/h, to the school and then return to the home he travels at an average speed of 10km/h. Which of the following is the closest approximation of Bob's average speed, in kilometers per hour, for the trip?
Choices:
2.9
15.2
10.9
9.1
Answer: C
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Choices:
6
8
9
2
Answer: A
Question: What least value must be assigned to * so that the number 197*5462 is r 9 ?
Choices:
2
6
8
5
Answer: A
Question: If 20 men can build a water fountain 56 metres long in 6 days, what length of a similar water fountain can be built by 35 men in 3 days?
Choices:
44 m
47 m
49 m
50 m
Answer: C
Question: The first three terms of a proportion are 3, 9 and 12. The fourth term is?
Choices:
87
86
36
73
Answer: C
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Choices:
28,027
28,028
28,000
28,0012
Answer: C
Question: The LCM of two numbers is 2310 and HCF is 47. If one of the numbers is 210. Then what is the other number ?
Choices:
825
330
582
517
Answer: D
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 16 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Choices:
105%
120%
124.2%
128%
Answer: D
Question: A 120 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
108
278
72
112
Answer: C
Question: If a 10 percent deposit that has been paid toward the purchase of a certain product is $80, how much more remains to be paid?
Choices:
$680
$720
$760
$800
Answer: B
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
33 1/7%
33 1/3%
33 8/3%
33 1/1%
Answer: B
Question: Jane covered a distance of 320 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Choices:
3 hours
2 hours
1 hour 45 minutes
None of these
Answer: B
Question: Helen went to the stationers and bought things worth Euro 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
Euro 15.7
Euro 19.7
Euro 20
None
Answer: B
Question: (786×74) ÷ ? = 1817.6
Choices:
B)48
C)58
D)68
E)32
Answer: D
Question: A train has a length of 150 meters . it is passing a man who is moving at 5 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
Choices:
180 km/hr
185 km/hr
169 km/hr
179 km/hr
Answer: B
Question: A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 5
II. 1
III. -4
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: B
Question: A tap can fill a tank in 12 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
7 hr 30 mins
4hr 30 mins
2 hr 30 mins
3 hr 30 mins
Answer: A
Question: The radius of a cylindrical vessel is 7cm and height is 5cm. Find the whole surface of the cylinder?
Choices:
528 sq cm
440 sq cm
132 sq cm
138 sq cm
Answer: A
Question: By selling 300 apples a seller gains the selling price of 60 apples. The gain percent of the seller is
Choices:
88
25
27
19
Answer: B
Question: There are 4 people of different heights standing in order of increasing height. The difference is 2 inches between the first person and the second person, and also between the second person and the third person. The difference between the third person and the fourth person is 6 inches and the average height is 76. How tall is the fourth person?
Choices:
78
80
82
84
Answer: C
Question: Tough and Tricky questions: Combinations.
Seven contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
7
12
16
21
Answer: D
Question: A man started his journey from Lucknow to Kolkata, which is 200 km, at the speed of 40 kmph then he went to Banglore which is 300 km, at the speed of 20 kmph. Further he went to Ahmedabad which is 500 km, at the speed of 10 kmph. The average speed of the man is :
Choices:
14(2/7) kmph
15.6 kmph
16.1 kmph
None
Answer: A
Question: Sixteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Choices:
126
252
560
1260
Answer: C
Question: Three medical experts, working together at the same constant rate, can write an anatomy textbook in 32 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 24 days?
Choices:
1
3
4
5
Answer: A
Question: If x and y are different prime numbers, each greater than 10, which of the following must be true? I. x+y is an even integer II. xy is an odd integer III. (x/y) is not an integer
Choices:
I only
II only
I,II only
I,II and III
Answer: D
Question: [(7/2 ÷ 1/2 × 7/2)]/[(7/2 × 1/2 ÷ 7/2)] = ?
Choices:
49
44
43
42
Answer: A
Question: How much water must be added to 60 litres of milk at 1.5 litres for Rs. 20 So as to have a mixture worth Rs.32/3 a litre?
Choices:
12 litres
15 litres
18 litres
21 litres
Answer: B
Question: Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
Choices:
17
13
10
20
Answer: A
Question: A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist?
Choices:
15 km/hr
41 km/hr
13 km/hr
18 km/hr
Answer: D
Question: Find the annual dividend received by Nishita from 1200 preferred shares and 3000 common shares both of par value Rs. 50 each if the dividend paid on preferred shares is 10% and semi-annual dividend of 3½ % is declared on common shares.
Choices:
16500
17000
17500
18000
Answer: A
Question: If n is not equal to zero, and n+1/n = 10, then what is the value of n^4 + (1/n)^4?
Choices:
9600
9602
9604
9606
Answer: B
Question: A person saved $10 in buying an item on sale. If he spent $500 for the item, approximately how much percent he saved in the transaction?
Choices:
10%
2%
5%
6%
Answer: B
Question: How many figures are required to number the pages the pages of a book containing 2200 pages?
Choices:
6693
7693
7793
7893
Answer: B
Question: If g(x) = ax^5 + bx^3 + 4, and g(5) = 10, then g(–5) =?
Choices:
– 2
– 6
0
4
Answer: A
Question: A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 750 more than that by the previous schema, his sales were worth?
Choices:
s. 6,000
s. 30,000
s. 40,000
s. 50,000
Answer: A
Question: How much interest can a person get on Rs. 5000 at 18% p.a. simple interest for a period of three years and six months?
Choices:
3150
3152
3153
3154
Answer: A
Question: The average age of a group of persons going for picnic is years. Fifteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
Choices:
10
15
40
50
Answer: B
Question: If a farmer sells 20 of his chickens, his stock of feed will last for 3 more days than planned, but if he buys 15 more chickens, he will run out of feed 4 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:
60
80
90
100
Answer: A
Question: A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February?
Choices:
(2)20-1
(2)19-1
(2)19
None of these
Answer: A
Question: If BEAT is coded as 4657 and NOT is coded as 328. How is NOTE coded?
Choices:
2386
3826
3286
3268
Answer: C
Question: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling ten books ?
Choices:
2677
1800
2250
76611
Answer: C
Question: A store’s selling price of $2240 for a certain printer would yield a profit of 40 percent of the store’s cost for the printer. What selling price would yield a profit of 50 percent of the printer’s cost?
Choices:
$2464
$2650
$2732
$2400
Answer: D
Question: a man spends $2.6 for parking and $34.4 for petrol to travel in car from monday to friday.if he travel by public transport it costs $1.06,find the percentage of savings?
Choices:
85.6
85.7
95.7
105.7
Answer: A
Question: A password for a computer uses three digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
Choices:
1/16
1/8
2/5
1/2
Answer: B
Question: Of the 90 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
Choices:
15
20
25
35
Answer: D
Question: If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a + 2)+ 2^(a + 3)+ 2^(a + 4)+ 2^(a + 5)+ 2^(a + 6) =
Choices:
2^(a + 1)
2a
2a^(a + 1)
127(2^a)
Answer: D
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 20 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
Choices:
15
50
67
100
Answer: A
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Choices:
150
277
287
232
Answer: A
Question: The average salaryper head of all the workers in a workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the totalno.of workers in the work-shop is ?
Choices:
20
22
25
26
Answer: B
Question: It will take 18 days for Cameron to complete a certain task alone. He worked for 9 days before she was joined by Sandra. both of them completed the remaining task in 3 and half days. how many days will it take both of them to complete the entire job?
Choices:
7
5
8
9
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 4 seconds. What is the length of the fast train?
Choices:
22 (2/9)m
27 (7/9)m
29 m
28 m
Answer: A
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Choices:
2698
175
212
221
Answer: B
Question: If a/b = 4/5, Then (5a - 3b) / (5a + 3b) = ?
Choices:
2/3
3
1
1/7
Answer: D
Question: A man sells an article at a gain 15%. If he had bought it at 10% less and sold it for 4 less, he would have gained 25%. Find the cost price of the article.
Choices:
160
170
180
None of these
Answer: A
Question: What percent of 60 is 70?
Choices:
75
60
33 1⁄3
116.66
Answer: D
Question: The dividend is 126, the quotient is 3 and the remainder is 2.
What is the divisor?
Choices:
35
40
45
50
Answer: B
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43, x
Choices:
31
23
46
59
Answer: C
Question: Stacy and Heather are 10 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour fast than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?.
Choices:
3.0 mile
4.0 mile
3.45 mile
12 mile
Answer: C
Question: In a km race, A beats Bby 28 metres or 7 seconds. Find A's timeoverthe course
Choices:
3 min. 3sec
4 min.4 sec
5 min. 3 sec
4 min. 3 sec
Answer: D
Question: At a monthly meeting, 1/3 of the attendees were males and 4/5 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
Choices:
2/15
3/20
7/30
8/45
Answer: D
Question: If Scott has earned 364 dollars by working 4 hrs/day a week at a constant daily rate for 1 weeks, which of the following represents his daily wage?
Choices:
14
13
12
11
Answer: B
Question: Of the people who responded to a market survey, 360 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 9 to 1, how many people responded to the survey?
Choices:
160
240
360
400
Answer: D
Question: In a group of 5 boys and 3 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
50
80
30
120
Answer: B
Question: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at
Choices:
96
35
87
13
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
272
278
121
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800 cm
829 cm
288 cm
289 cm
Answer: A
Question: A car traveled the first quarter of a certain distance at thrice the speed it traveled the remaining distance. What proportion of the total time traveled, was the time taken to travel the first quarter of the distance?
Choices:
1/5
1/6
1/7
1/10
Answer: D
Question: In how many ways can 7 identical beads be stung into a ring?
Choices:
5!
6!
6!/2
3!
Answer: C
Question: On Teacher's Day, sweets were to be equally distributed among 190 children in a school. Actually, on the Teacher's day, 70 children were absent and therefore each child got 14 sweets extra. How many sweets did each child get on that day?
Choices:
22
28
32
38
Answer: D
Question: The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?
Choices:
3/4
3/7
4/5
5/7
Answer: A
Question: In a department store prize box, 40% of the notes give the winner a dreamy vacation; the other notes are blank. What is the approximate probability that 3 out of 5 people that draw the notes one after the other, and immediately return their note into the box get a dreamy vacation?
Choices:
0.23
0.35
0.45
0.65
Answer: A
Question: A is 7/2 times as fast as B. If A gives B a start of 80 m, how long should the race course be so that both of them reach at the same time?
Choices:
140 metre
190 metre
240 metre
12 metre
Answer: A
Question: If x represents the sum of the interior angles of a triangle and y represents the sum of the interior angles of a regular pentagon, then the addition x and y is equal to the sum of the interior angles of what geometric shape?
Choices:
Hexagon
Rhombus
Trapezoid
Pentagon
Answer: A
Question: A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord W, in feet?
Choices:
25
15
10
5
Answer: C
Question: There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?
Choices:
1:2
2:1
1:4
1:3
Answer: A
Question: In how many ways a hockey team of eleven can be elected from 16 players?
Choices:
4368
5368
4166
None
Answer: A
Question: The average age of an adult class is 40 years. 2 new students with an avg age of 32 years join the class. Therefore decreasing the average by 4 year. Find what was the original strength of class?
Choices:
12
16
2
22
Answer: C
Question: A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 8 km per hour and the level part at the rate of 12 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 12 km per hour for the entire route?
Choices:
20
24
28
32
Answer: B
Question: The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?
Choices:
29
61
72
None of these
Answer: A
Question: If $120 invested at a certain rate of simple interest amounts to $180 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years?
Choices:
$180
$200
$240
$300
Answer: D
Question: A man purchased 15 pens, 12 books, 10 pencils and 5 erasers. The cost of each pen is Rs.36, each book is Rs.45, each pencil is Rs.8, and the cost of each eraser is Rs.40 less than the combined costs of pen and pencil. Find the total amount spent?
Choices:
Rs.1120
Rs.1140
Rs.1160
None of these
Answer: D
Question: If M is the mean of x,y,z ; then what is the mean of x,z and y
Choices:
M
10M
M+10
M-10
Answer: A
Question: A boy incurs 5% loss by selling a book for Rs. 1000. At what price should the book be sold to earn 5 % profit?
Choices:
1105.26
1105.22
11105.21
1103.26
Answer: A
Question: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 14 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?
Choices:
6
7.2
5
9
Answer: C
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed musthe travel to reach A at 1 PM?
Choices:
45 km
60 km
65 km
70 km
Answer: B
Question: If $30,000 interest is invested in x percent simple annual interest for 10 years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
7000 x
6000 x
3000 x
8000 x
Answer: C
Question: A driver took a trip consisting of three segments at three different speeds. The driver drove a distance of (3D) at a speed of (2V), then a distance of (4D) at a speed of (3V), then a distance of D at a speed of (6V). In terms of D and V, what was the total time of the trip?
Choices:
3D/V
5D/V
6D/V
7D/V
Answer: A
Question: Qames can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
Choices:
1 hour and 30 minutes.
1 hour.
1 hour and 40 minutes.
2 hours and 15 minutes.
Answer: B
Question: A person incurs loss for by selling a watch for Rs1140.at what price should the watch be sold to earn a 5% profit ?
Choices:
1260
1300
1340
1450
Answer: A
Question: In a garden, there are 10 rows and 17 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Choices:
22 m
34 m
26 m
28 m
Answer: B
Question: A car traveling with 5/75/7 of its actual speed covers 4242 km in 11 hr 4040 min 4848 sec. What is the actual speed of the car?
Choices:
35 km/hr
25 km/hr
40 km/hr
45 km/hr
Answer: A
Question: The average of 45 results is 10. The average of first 22 of them is 16 and that of last 22 is 20. Find the 23 result?
Choices:
480
538
650
560
Answer: B
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Choices:
14.2 Yrs
12.3 Yrs
12.6 Yrs
12 Yrs
Answer: C
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 11 hours of the journey.
Choices:
352 km
642 km
440 km
382 km
Answer: C
Question: F and E are midpoints of AB and AD respectively. If the side of square ABCD is 8, what is the area of triangle CEF?
Choices:
9√3
18
16√2
24
Answer: D
Question: The cash difference between the selling prices of an article at a profit of 4% and 8% is Rs 3. The ratio of two selling prices is
Choices:
52:54
53:54
54:55
None of these
Answer: A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of eleven rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
Choices:
6 min
10 min
15 min
16 min
Answer: A
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent F of the distribution is less than m +d ?
Choices:
32%
48%
84%
92%
Answer: C
Question: Which of the following inequalities is equivalent to −6 < x < 8?
Choices:
|x - 1| < 7
|x + 3| < 5
|x - 2| < 6
None of the above
Answer: A
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
279
267
297
Answer: A
Question: Of the 150 employees at company X, 60 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Choices:
30
50
80
100
Answer: C
Question: Mr Katial buys a house for Rs 1,00,000 and rents it. He puts 12.5% of each month’s rent aside for upkeep and repairs, pays Rs 325 per year as taxes and realizes 5.5% annually on his investment . Find the monthly rent?
Choices:
Rs 554.76
Rs 654.76
Rs 664.76
none of these
Answer: A
Question: On dividing a number by 357, we get 41 as remainder.On dividing the same number by 17, what will be the remainder ?
Choices:
5
8
7
2
Answer: C
Question: If (1.001)^1259=3.52 and (1.001)^2062=7.85 then (1.001)^3321=?
Choices:
27.632
17.632
39.632
7.632
Answer: A
Question: s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits Y are in s(99)?
Choices:
Y=353
Y=354
Y=356
Y=357
Answer: A
Question: The digit at the ten’s place of a 2 digit no. is twice the digit at the unit’s place. If the sum of this no. and the no. formed by reversing the digits is 66. Find the no.
Choices:
28
32
42
47
Answer: C
Question: Find the base K of the number system, if (524)8 = (664)K ?
Choices:
5
6
7
8
Answer: C
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Choices:
2/5
1/6
1/7
2/5
Answer: A
Question: Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the sum of the digits of the number.
Choices:
8
10
12
11
Answer: A
Question: In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks B are made of cotton?
Choices:
100
60
50
25
Answer: A
Question: Indu gave Bindu Rs.3125 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:
s.2
s.5
s.3
s.4
Answer: B
Question: A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 20% less than B, and C costs 25% less than A,and D costs 30% less than C what percent of B's cost is D?
Choices:
38%
44%
36%
42%
Answer: D
Question: Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 12000 envelopes.
Choices:
3
4
6
60/7
Answer: D
Question: There is a 70% chance that Flora will visit Ghana this year, while there is a 70% chance that she will visit France this year. What is the probability that Flora will visit either Ghana or France this year, but NOT both?
Choices:
36%
38%
40%
42%
Answer: D
Question: P can do the work in 8 days and Q can do the same work in 12 days. If they work together for 4 days, what is the fraction of work that is left?
Choices:
2/11
1/4
1/5
1/6
Answer: D
Question: If f(x) = 12 - x^2/2 and f(2k) = 7k, what is one possible value for k?
Choices:
3
4
6
7
Answer: D
Question: A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
Choices:
7.88 days
7.38 days
7.38 days
7.36 days
Answer: C
Question: A sock drawer contains four socks, each one a different solid color. The colors of the socks are green, blue, indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?
Choices:
240
1,024
2,520
24
Answer: D
Question: Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 7 times as heavy as water?
Choices:
1:2
3:1
5:2
2:3
Answer: D
Question: Which of the following CANNOT be a product of two distinct positive integers p and q?
Choices:
q
3q + 2p
q - p
qp
Answer: C
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 1 a rupee. Find his net profit or loss percent?
Choices:
390 %
200 %
250 %
300%
Answer: D
Question: John can complete a given task in 10 days. Jane will take only 20 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 4 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?
Choices:
9
8.5
9.5
10.5
Answer: B
Question: The greatest number by which the product of two consecutive multiples of 3 is always divisible is
Choices:
76
18
162
None of these
Answer: B
Question: Seven female friendsseven male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with menwomen alternating. How many possible arrangements may she chose?
Choices:
50803200
1152
576
70
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
64,4
18,4
14, 4
12,4
Answer: C
Question: What will be the cost of building to paint which area equal to 196 sq ft, if the price per foot of building is Rs. 15?
Choices:
240
360
380
840
Answer: D
Question: A batsman makes a score of 85 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
Choices:
29
37
49
59
Answer: B
Question: The length of rectangle is thrice its breadth and its perimeter is 64 m, find the area of the rectangle?
Choices:
376
299
276
288
Answer: D
Question: The ratio of the arithmetic mean of two numbers to one of the numbers is 5:9. What is the ratio of the smaller number to the larger number?
Choices:
1:6
1:7
1:8
1:9
Answer: D
Question: When x is multiplied by 3, the result is 20 more than the result of subtracting x from 20. What is the value of x?
Choices:
10
11
13
22
Answer: A
Question: $366 is divided amongst A,B and C so that A may get 1/2 as much as B and C together, B may get 2/3 as much as A and C together, then the share of A is
Choices:
$122
$176
$200
$250
Answer: A
Question: Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 3 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 3 minute mark.)
Choices:
14
16
17
18
Answer: A
Question: Among all sales staff at Listco Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 15% of Listco's sales staff. Listco employs 90 level-1 employees, 30 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ?
Choices:
42
56
32
40
Answer: D
Question: A set consist of 2p-1 element. What is the number of subsets of this set which contain at most p-1 elements?
Choices:
2^(2p-2)
2^(2p) -1
2^(2p)
2^(2p-1)
Answer: A
Question: The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Choices:
7:3
7:9
7:1
7:8
Answer: D
Question: Distance between A and B is 36 miles. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed 2 mph. While the other man traveled with varying speeds as follows: In first hour his speed was 1 mph, in the second hour it was 1.25 mph, in the third hour it was 1.5 mph, and so on. When will they meet each other?
Choices:
12 miles away from B
after 6 hours from start
after 9 hours from start
after 12 hours from start
Answer: C
Question: At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
Choices:
12 points
15 points
10 points
12 points
Answer: C
Question: If 4x = 8^y, which of the following expresses x in terms of y?
Choices:
2^(y-1)
2^(3y-2)
2^(2y-3)
2^y
Answer: B
Question: Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $58 of gas?
Choices:
353
464
575
686
Answer: B
Question: Present ages of X and Y are in the ratio 6:8 respectively. Ten years hence this ratio will become 8:10 respectively. What is X's present age in years?
Choices:
36
37
39
30
Answer: D
Question: The number of arrangements that can be made with the letters of the word MOTHER so that the vowels occupy the even places?
Choices:
48
21
3
13
Answer: A
Question: A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
9/2 %
8/4 %
6/12 %
45 5/11 %
Answer: D
Question: Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.6%, what fraction of the products was checked by worker y?
Choices:
1/4
1/3
2/5
3/7
Answer: B
Question: There are 5 identical pens and 7 identical books. In how many different ways can a person select at least one object from this set?
Choices:
12
39
47
56
Answer: C
Question: If m^(-1) = -1/5 then m^(-2) is equal to
Choices:
-3
-1/9
1/25
9
Answer: C
Question: The average of first 15 natural numbers is?
Choices:
5.5
8
9
10
Answer: B
Question: A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Choices:
81 km/hr
62 km/hr
46 km/hr
56 km/hr
Answer: A
Question: A man has an investment of $3000 which yields a fixed 305 for every $500 invested. if the man takes out $12.6 for every $500 how long will it take for him to double his investment assuming no compounding of interest.
Choices:
33.8
10
30
37.3
Answer: D
Question: Two representatives must be selected from each of two groups of students. One group consists of three men and one woman, and the other group consists of two women and two man. What is the probability that 2 men and 2 women will be selected ?
Choices:
1/4
2/7
1/3
5/12
Answer: D
Question: A special lottery is to be held to select a student who will live in the only deluxe room in a hostel. There are 100 Year-III, 150 Year-II and 200 Year-I students who applied.
Each Year-III's name is placed in the lottery 3 times; each Year-II's name, 2 times and Year-I's name, 1 time. What is the probability that a Year-III's name will be chosen?
Choices:
2/9
2/7
3/8
3/9
Answer: C
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
Choices:
25/42
25/29
25/87
25/26
Answer: A
Question: Four hundred students at College Q study a foreign language. Of these, 110 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
Choices:
40 to 100
60 to 100
60 to 110
60 to 200
Answer: D
Question: A room is 12 meters long, 10 meters wide 8 meters in height. The longest possible rod which can be placed in the room is
Choices:
16.80 meters
16.75 meters
16.55 meters
17.55 meters
Answer: D
Question: If x is an integer, which of the following must be an even integer?
Choices:
x^2-4x+6
x^2-5x+5
x^2+3x+8
x^2+2x+10
Answer: C
Question: If Rs. 595 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively?
Choices:
s.420
s.389
s.368
s.323
Answer: A
Question: Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?
Choices:
13 kmph
12 kmph
18 kmph
97 kmph
Answer: B
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.1,20,000 earned at the end of 3 years from the start of the business in 1999?
Choices:
Rs.40,000
Rs.70,000
Rs.75,000
none
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 14%, then the cost price of the article is:
Choices:
540
555
664
5598
Answer: A
Question: If x+y=2 and x2y3 + y2x3=32, what is the value of xy?
Choices:
2
3
4
5
Answer: C
Question: A work can be finished in 17 days by twenty eight women. The same work can be finished in seven days by seventeen men. The ratio between the capacity of a man and a woman is
Choices:
1:4
2:3
3:2
4:5
Answer: A
Question: A and B can finish a work in 10 days while B and C can do it in 18 days. A started the work, worked for 5 days, then B worked for 10 days and the remaining work was finished by C in 15 days. In how many days could C alone have finished the whole work ?
Choices:
15 days
45 days
24 days
None of these
Answer: B
Question: Find compound interest on Rs. 5000 at 12% per annum for 1 year, compounded half-yearly.
Choices:
Rs. 618
Rs. 525
Rs. 620
None
Answer: A
Question: What is 10-8+6-4+...+(-16)?
Choices:
10
12
14
16
Answer: C
Question: Martha has the unique talent of being able to guess other people’s height and weight. For every six people that Martha meets, she consistently guesses the people’s correct height five times, and for every eight people that she meets, she consistently guesses the people’s correct weight six times. If Martha meets three people and her success rate remains constant, what is the probability that Martha correctly guesses a person’s weight and height at least once?
Choices:
2/5
485/512
98/125
625/952
Answer: B
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
62 kmph
54 kmph
74 kmph
55 kmph
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:4
4:8
4:1
Answer: A
Question: Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following numbers could be the sum of G and H?
Choices:
150
137
135
89
Answer: C
Question: The third proportional to 1 and 2 is?
Choices:
7
4
5
3
Answer: B
Question: (A% of 6B + B% of A) is equal to ?
Choices:
B% of A
7% of AB
AB% of 3
None
Answer: B
Question: If k is the sum of the digits of integer m, and m=10n, where n is an integer, which of the following must be true?
Choices:
The sum of the digits of k is divisible by 3
m is a multiple of 10k
k is a multiple of 9
k is a multiple of 6
Answer: B
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in days?
Choices:
22 ½ days
92 ½ days
28 ½ days
92 ½ days
Answer: A
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 13. What is the last numbers?
Choices:
7
5
4
3
Answer: B
Question: The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If w of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
Choices:
y/(R-x)
xy/(R-x)
wy/(R(R-w))
y/(R(R-x))
Answer: C
Question: If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 64,470, which of the following could be the values of x, y, and z?
I. x = 115, y = 146, z = 173
II. x = 114, y = 142, z = 171
III. x = -115, y = 146, z = 173
Choices:
II only
III only
I​ and II
I and III
Answer: D
Question: A and B together can do a piece of work in 30days. A having worked for 16days, B finishes the remaining work alone in 44days. In how many days shall B finish the whole work?
Choices:
60
24
30
45
Answer: A
Question: In an examination, 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories, then how many candidates applied for the examination?
Choices:
30000
32000
33000
None of these
Answer: A
Question: P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 5), the remainder is also D. If P/Q = 1020.75 and P/(Q + 5) = 816.6, then which of the following gives the correct set of {D, Q}?
Choices:
{6, 15}
{15,20}
{9, 15}
{15, 24}
Answer: B
Question: When a is divided by b, the quotient is c with remainder 6. What is a in terms of 6, b, and c?
Choices:
bc+6
bc-6
b/c
b-c
Answer: A
Question: How many prime numbers exist between 1 and 20?
Choices:
6
5
8
9
Answer: D
Question: All of the positive integers are written in a triangular pattern, beginning with the following
four lines and continuing in the same way:
1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
Which number appears directly below 2012?
Choices:
2102
2104
2106
2108
Answer: A
Question: The product of all the prime numbers less than 20 is closest to which of the following powers of 10 ?
Choices:
10^8
10^7
10^6
10^5
Answer: B
Question: There are 6 identical pens and 9 identical books. In how many different ways can a person select at least one object from this set?
Choices:
30
69
78
90
Answer: B
Question: For all even integers n, h(n) is defined to be the sum of the even integers between 2 and n, inclusive. What is the value of h(20)/h(10) ?
Choices:
60
6
18
3
Answer: D
Question: Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 15hr. If all pipes are opened simultaneously, then the cistern will be filled in
Choices:
8 hr
8.57 hr
10 hr
None of these
Answer: B
Question: The population of a town increased from 1,34,800 to 2,42,500 in a decade. The average percent increase of population per year is:
Choices:
7.9%
6.8%
8.75%
None
Answer: A
Question: In a company of 160 employees, 90 are females. A total of 80 employees have advanced degrees and the rest have a college degree only. If 40 employees are males with college degree only, how many employees are females with advanced degrees?
Choices:
45
50
55
60
Answer: B
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1400. The difference between the profit shares of A and C is?
Choices:
560
155
600
441
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 25 hours respectively. The ratio of their speeds is?
Choices:
5:7
4:5
4:1
4:2
Answer: A
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 42 years now, the son's age 5 years back was:
Choices:
14 years.
16 years.
17 years.
19 years.
Answer: B
Question: Simplify 3/4 of 6 0 – 8/5 of 60 + ? = 12
Choices:
24
56
63
14
Answer: C
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
306.05
306.04
306.02
306.01
Answer: B
Question: A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?
Choices:
900
700
750
650
Answer: A
Question: If two positive numbers are in the ratio 1/12 : 1/9, then by what percent is the second number more than the first?
Choices:
90%
33.33%
50%
65%
Answer: B
Question: S = { 1,2,3,5,6,9}
T = { 4,5,6,7,1,3}
what is the probability that x chosen from S and y chosen from T will result x*y = even
Choices:
5/9
1/2
5/6
6/5
Answer: A
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is?
Choices:
1/7
1/4
1/1
1/9
Answer: A
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 300 as interest at the end of the loan period, what was the rate of interest?
Choices:
5
18
Cannot be determined
None of these
Answer: A
Question: One pipe can fill a pool four times faster than a second pipe. When both pipes are opened, they fill the pool in eight hours. How long would it take to fill the pool if only the faster pipe is used?
Choices:
8 hr
10 hr
16 hr
20 hr
Answer: B
Question: How many odd numbers are possible between 1 to 1000000000? find out the number of odd number of digits?
Choices:
3500
4000
4599
499999999
Answer: D
Question: Which of the following is the Highest Common Factor of 20, 40 and 60?
Choices:
10
6
20
12
Answer: C
Question: Ratio between Rahul and Deepak is 4:2, After 10 Years Rahul age will be 26 years. What is Deepak present age
Choices:
15
12
22
8
Answer: D
Question: The number of female students in a college in the previous year was 520. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
Choices:
1720
1840
1960
2080
Answer: D
Question: A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 4 minutes?
Choices:
54
216
216
324
Answer: B
Question: Consider a Number 3.1n4
n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number?
Choices:
2
1
4
5
Answer: B
Question: Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the number's sum will be 13?
Choices:
2/7
1/3
1/42
12/21
Answer: C
Question: In a recent survey, Q people were asked whether they eat after 22:00 O'clock. 25 percent of the people answered positively and 40 percent of the rest were asked, at what time do they get up in the morning. Which of the following expressions represents the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning?
Choices:
Q/10
5Q/9
3Q/10
9Q/20
Answer: D
Question: The ratio, by weight, of coffee to sugar to water in a pot of coffee is 7:3:15. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is doubled. If the altered pot of coffee contains 12 grams of sugar, how many grams of water does it contain after alteration?
Choices:
13
14
15
16
Answer: C
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
2/3
3/5
4/7
Answer: A
Question: If the area of a circle is 36pi square feet, find its circumference.
Choices:
12 pi feet
38 pi feet
48 pi feet
58 pi feet
Answer: A
Question: There are 5 white balls and 4 black balls in a bag. Second bag contains 7 white balls and 9 black balls. one ball is transferred from first bag to second. a single ball is taken out from second bag. What is the probability that the ball is white.
Choices:
3/9
4/9
5/9
6/9
Answer: B
Question: When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 5 centimeter. The actual diameter of the tissue, in centimeters, is
Choices:
0.005
0.001
0.0005
0.0002
Answer: A