antoine-444/aqua_rat_dataset huggingface dataset:
Question: Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 40% and 10% savings. Assuming that they operate independently, what is the net saving achieved?
Choices:
64%
62.2%
68%
61%
Answer: B
Question: Amy has two decks of 50 cards each: Deck 1 and Deck 2. She takes 8 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what is the probability that Amy picks a black king or a red Jack from the new pack?
Choices:
1/8
1/9
1/10
1/12
Answer: B
Question: Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:
Choices:
20/3hours
7 hours
15/2hours
17/2hours
Answer: B
Question: The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+33, what is the perimeter of the garden in feet?
Choices:
32
36
40
44
Answer: D
Question: In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 50 and a standard deviation of 10, which of the following is exactly 1.75 standard deviations more than the mean?
Choices:
b) 67.5
c) 72
d) 77.5
e) 81
Answer: A
Question: If the sum of the interior angles of a regular polygon measures up to 1620 degrees, then how many sides does the polygon have?
Choices:
16
12
11
14
Answer: C
Question: A certain club has 10 members, including Warry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Warry will be either the member chose to be secretary or the member chose to be treasurer?
Choices:
1/80
1/10
1/9
1/5
Answer: D
Question: What is the perimeter of a square with area 9p^2/4 ?
Choices:
3p^2/4
6p
3p^2
4p/3
Answer: B
Question: If 18,888 – n is divisible by 11, and 0 < n < 11, what is n?
Choices:
1
5
7
9
Answer: A
Question: If 18 is 15 percent of 30 percent of a certain number , what is the number?
Choices:
36
40
81
400
Answer: D
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
34 seconds
14 seconds
12 seconds
15 seconds
Answer: C
Question: What is the present worth of Rs. 143 due in 2 years at 5% simple interest per annum
Choices:
120
130
140
None of these
Answer: B
Question: A man gets a simple interest of Rs.1000 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Choices:
Rs.250
Rs.5012.50
Rs.512.5
None of these.
Answer: C
Question: In a contest, a bowl contains 6 keys, one of which will open a treasure chest and Five of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Kishore is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that he wins the prize?
Choices:
1/3
1/4
1/5
1/6
Answer: A
Question: A train 180 m long running at 75 kmph crosses a platform in 40 sec. What is the length of the platform?
Choices:
638
683
726
267
Answer: B
Question: A ship sails out to a mark at the rate of 22 kmph. and sails back at the rate of 12 kmph. The average rate of sailing is ?
Choices:
12 km/hr
16 km/hr
25 km/hr
None
Answer: B
Question: A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.
Choices:
32
36
24
42
Answer: B
Question: A train with 120 wagons crosses John who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the John ( he is riding on the horse) before it starts overtaking the Mike(who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in secs) after the train has crossed the Mike do the John meets to Mike?
Choices:
3500 s
3650 s
3670 s
3576 s
Answer: D
Question: Of the votes cast on a certain proposal, 70 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
Choices:
350
400
425
450
Answer: A
Question: If two sides of a triangle are 6 and 8, which of the following could be the area of triangle?
1. 35
2. 48
3. 56
Choices:
a) 1 only
c) 1 and 3 only
d) 2 and 3 only
e) 1, 2 and 3 only
Answer: A
Question: Two trains 170 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.9
10.2
10.88
11.88
Answer: D
Question: Find the curved surface area, if the radius of a cone is 28 m and slant height is 30 m?
Choices:
2640
3960
4280
5490
Answer: A
Question: It takes ten minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
Choices:
13.86
14.25
14.63
14.88
Answer: C
Question: Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. what is the speed of the slower horse?
Choices:
88 km/h
11 km/h
20 km/h
87 km/h
Answer: C
Question: A can finish a piece of work in 5 days. B can do it in 16 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choices:
5
6
7
8
Answer: B
Question: A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/6 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Choices:
1/3*(x - 3000) = x
x + 3000 = 1/3*x
x - 3000 = 1/6*x
x - 3000 = 1/3*x
Answer: C
Question: If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. b-c is positive integer
II. abc is an even integer
III. (a+b+c)/3 is an integer
Choices:
II
I and II
II and III
I, II and III
Answer: C
Question: In how many ways can A, B, C, D and E be seated in a row such that A and C are not seated next to each other?
Choices:
48
56
72
96
Answer: C
Question: Bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
Choices:
Rs.350
Rs.370
Rs.480
None of these
Answer: C
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 number.
Choices:
5
6
7
8
Answer: A
Question: A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long.The length of the train is
Choices:
80 m
90 m
100m
110m
Answer: B
Question: A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
Choices:
1400
2660
1600
1800
Answer: B
Question: A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $17 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item?
Choices:
$23.50
$24.50
$25.50
$26.50
Answer: C
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Choices:
5%
2%
1%
9%
Answer: A
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Choices:
2510 m^2
2520 m^2
2600 m^2
2640 m^2
Answer: B
Question: How many cubes of edge 2 dm can be cut out of a meter cube?
Choices:
289
276
125
298
Answer: C
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
4 kmph
4 kmph
8 kmph
5 kmph
Answer: C
Question: Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?
Choices:
9/25
18/25
20/25
15/25
Answer: A
Question: Jacob's age 18 years hence will be thrice his age four years ago. Find Jacob's present age?
Choices:
20
15
11
16
Answer: B
Question: Tough and Tricky questions: Exponents.
If 3^m3^m3^m = 6^n, then m/n =
Choices:
2/3
1
3/2
3
Answer: D
Question: A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 6400 a year. What is his average monthly income?
Choices:
2010
2100
2200
2300
Answer: C
Question: The ratio of two numbers is 5:6. If a number is added to both the numbers the ratio becomes 7:8. If the larger number exceeds the smaller number by 10. Find the number added.
Choices:
10
20
40
Cannot be determined
Answer: B
Question: If the wheel is 12 cm then the number of revolutions to cover a distance of 1240 cm is?
Choices:
14
16
12
19
Answer: B
Question: Jane covered a distance of 350 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 30 minutes
2 hours
1 hour 45 minutes
None of these
Answer: A
Question: Sachin is younger than Robert by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
Choices:
24.5
25
28
30
Answer: A
Question: ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
Choices:
625:3125
100:105
100^4:105^4
725:3225
Answer: B
Question: The profit earned by selling an article for 852 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
Choices:
975
1,200
920
None of these
Answer: A
Question: 16 grams of radioactive material decays into 8 grams in 10 years. How long will it take to decay to 1 gram?
Choices:
42 years
45 years
40 years
50 years
Answer: C
Question: A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
Choices:
12 seconds
14 seconds
16 seconds
18 seconds
Answer: A
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Choices:
9 7/8 days
9 3/8 days
4 3/8 days
9 6/8 days
Answer: B
Question: Two distinct numbers a and b are chosen randomly from the set of first 20 positive integers. What is the probability that |a–b| would not be divisible by 3?
Choices:
21/95
49/190
42/95
133/190
Answer: D
Question: Charan can do a piece o work in 24 days, which Hari alone can finish in 19 days. Both together work for 7 days and then Hari leaves off. How many days will Caran take to finish remaining work?
Choices:
22days
21 ½ days
20days
15 days
Answer: A
Question: If 10 men and 2 boys working together, can do nine times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
7:3
7:8
7:1
7:2
Answer: C
Question: Mira’s expenditure and sayings are in the ratio 3: 2. Her income increases by 10 percent. Her expenditure also increases by 12 percent. By how much per cent does her saving increase?
Choices:
7%
9%
13%
15%
Answer: A
Question: Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,700 at the end of nine years, how much money did he borrow?
Choices:
12,315
14,000
16,000
16,315
Answer: A
Question: A will was written such that an estate would be divided among four beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. If one of the beneficiaries received $40,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the four beneficiaries?
Choices:
$13344
$71234
$15736
$19403
Answer: D
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
Rs. 7000
Rs. 8800
Rs. 9000
Rs. 10000
Answer: D
Question: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/5 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
Choices:
5/16
3/11
3/10
3/14
Answer: A
Question: A box contains three red marbles and 1 green marble. If the marbles are removed from the box one at a time, in random order, what is the probability that all three red marbles are removed before the green marble?
Choices:
1/24
1/12
1/4
1/2
Answer: C
Question: A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 70% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?
Choices:
1/4
1/2
7/24
17/24
Answer: D
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 30 years older than Ayush who is 10 years old. At what age did the father get married ?
Choices:
31years
32years
33years
34years
Answer: C
Question: Find the cost of fencing around a circular field of diameter 22 m at the rate of Rs.2.50 a meter?
Choices:
172
278
279
222
Answer: A
Question: Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?
Choices:
200
772
552
312
Answer: A
Question: If K is the sum of reciprocals of the consecutive integers from 23 to 28, inclusive, then K is closest in value to which of the following?
Choices:
1/10
3/14
1/8
1/4
Answer: B
Question: An Air Cooler is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Choices:
19%
21.2%
21.81%
22.07%
Answer: C
Question: The average age of a committee of 12 members is 40 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Choices:
38.7 years
36 years
35 years
34 years
Answer: A
Question: The average mark obtained by 22 candidates in an examination is 48. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Choices:
0
49
58
66
Answer: D
Question: What is the probability of flipping a fair coin eight times and the coin landing on heads on at least two flips?
Choices:
117/128
123/128
247/256
253/256
Answer: C
Question: six friends go to pizza corner where there are different types of pizza available. six different flavours are there and they have to select 2 flavours from 6 flavours.In how many ways they can select?
Choices:
12
13
14
15 ways
Answer: D
Question: A radio station has to choose five days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any five of the seven weekdays can be chosen. How many different five-day combinations of the seven weekdays can be constructed?
Choices:
15
21
56
35
Answer: B
Question: 14 men can complete a piece of work in 22 days. In how many days can 18 men complete that piece of work?
Choices:
26 days
17 days
29 days
20 days
Answer: B
Question: If the complement of a certain angle is four times the measure of that certain angle, then what is the measure of that certain angle?
Choices:
30°
22.5°
18°
15°
Answer: C
Question: Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a > 1.5. Which of the following operations would decrease the standard deviation of Set J?
Choices:
Divide each term by b/c
Multiply each term by −1
Divide each term by a/e
Multiply each term by c/e
Answer: C
Question: The measurement of a rectangular box with lid is 25cmx6cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
Choices:
48
36
864
964
Answer: B
Question: A river 2m deep and 45 m wide is flowing at the rate of 5 kmph the amount of water that runs into the sea per minute is?
Choices:
4580 M3
7500 M3
4900 M3
4700 M3
Answer: B
Question: A train passes a train coming from opposite direction, speed 32 kmph in 25 sec. If the speed of the train is 40 km/hr. What is the length of train?
Choices:
400
500
350
200
Answer: B
Question: A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 104 pounds?
Choices:
7
16
10
none of the above
Answer: C
Question: A motorcyclist goes from Nagpur to Pune, a distance of 500 kms at an average of 100 kmph speed. Another man starts from Nagpur by car 3 Â½ hours after the first, and reaches Pune Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:7
3:5
1:5
1:1
Answer: B
Question: A and B starts a business with Rs.8000 each, and after 6 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
2:3
3:2
11:9
11:10
Answer: B
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of grass ?
Choices:
BLUE
PINK
ORANCE
BLACK
Answer: D
Question: If 4XZ + YW = 10 and XW + YZ = 20, what is the value of the expression (2X + Y)(2Z + W)?
Choices:
12.
15.
50.
18.
Answer: C
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.86. How much was lent at 5%?
Choices:
299
400
500
188
Answer: B
Question: A cistern 4 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface?
Choices:
32
36
40
44
Answer: B
Question: Hal bought walnuts at 5 for $1 and apples at 4 for $1.He spent a total of $19.50 . He sells both at 20 for $5 and as a result gains $3 .How many walnuts did Hal buy ?
Choices:
45
60
80
55
Answer: B
Question: A cubical tank is filled with water to a level of 1 foot. If the water in the tank occupies 16 cubic feet, to what fraction of its capacity is the tank filled with water?
Choices:
1/3
1/4
1/5
1/6
Answer: B
Question: A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 10% below the cost price of the claimed weight.
Choices:
20%
37.5%
23.75%
37.5%
Answer: C
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Choices:
384 cm2
672 cm2
267 cm2
286 cm2
Answer: A
Question: How many liters of water must be evaporated from 50 liters of a 2 percent sugar solution to get a 5 percent sugar solution?
Choices:
25
30
32
35
Answer: B
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.2 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
Choices:
2:3
2:4
1:1
2:9
Answer: C
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
11 2/3%
16 9/3%
16 2/3%
16 2/5%
Answer: C
Question: A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is.
Choices:
200 m
148 m
140 m
None of these
Answer: A
Question: In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 6,000 have been vaccinated against both, how many have been vaccinated only against rubella?
Choices:
7,500
12,000
15,000
17,500
Answer: B
Question: Each of the following equations R has at least one solution EXCEPT
Choices:
R=–2^n = (–2)^-n
2^n = (–2)^-n
(–2)^n = –2^n
(–2)^-n = –2^-n
Answer: A
Question: A car finishes a journey in ten hours at the speed of 50 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?
Choices:
10 km/hr
12 km/hr
16 km/hr
50 km/hr
Answer: D
Question: AT + CD = AAA, where AT and CD are two-digit numbers and AAA is a three digit number; A, T, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Choices:
3
7
9
Cannot be determined
Answer: C
Question: The labeled price of a table is Rs. 8,000. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
Choices:
Rs. 6195
Rs. 6608
Rs. 7200
None of these
Answer: B
Question: An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?
Choices:
Rs. 72
Rs. 66
Rs. 96
None of these
Answer: A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180
190
120
130
Answer: A
Question: The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 12 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
Choices:
$225
$224
$213
$215
Answer: B
Question: If the sides of a square are multiplied by 10, the area of the original square is how many times as large as the area of the resultant square?
Choices:
1%
100%
500%
1000%
Answer: A
Question: Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 9/49, what is the probability that the next one she draws will be pink?
Choices:
4/7
3/7
16/49
40/49
Answer: A
Question: In a race, the odds in favour of cars P, Q, R, S are 1 : 3, 1 : 4, 1 : 5 and 1 : 6 respectively. Find the probability that one of them wins the race.
Choices:
114/121
319/420
27/111
37/111
Answer: B
Question: At a game of billiards, A can give B 15 points in 60 & A can give C 20 points in 60. How many points can B give C in a game of 90?
Choices:
20 points
10 points
5 points
0 points
Answer: B
Question: A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 20 km, if the person completes half of the distance by walking and the other half by running?
Choices:
3.25
3.75
4.25
4.75
Answer: B
Question: If a man's rate with the current is 15 km/hr and the rate of the current is 11⁄2 km/hr, then his rate against the current is
Choices:
12 km/hr
23 km/hr
28 km/hr
13 km/hr
Answer: A
Question: What approximate value should come in place of the question mark (?) in the following equation?47.05 Ã— 8.65 â€“ 25.22 Ã— 6.4 = (28 + ?) Ã— 5
Choices:
24.1149
21.1149
22.1149
31.1149
Answer: B
Question: A certain city with population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
Choices:
10,800
10,900
11,000
11,100
Answer: C
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.162. Find the unknown rate of two blankets?
Choices:
550
490
570
457
Answer: C
Question: If the set S is composed of the following numbers {99, 100, 100, 105, 106, 116, 123}, which of the following is largest?
Choices:
The average (arithmetic mean) of set S
The mode of set S
The range of set S
The standard deviation of set S
Answer: A
Question: On thrusday mabel handled 90 transactions. anthony handled 10 % more transaction than mabel, cal handled 2/3rds of the transactions that anthony handled and jade handled 16 more transaction than cal. how much transaction did jade handled?
Choices:
80
72
82
28
Answer: C
Question: Which of the following statements is equivalent to 8+2X<18−6X<23+2X8+2X<18−6X<23+2X?
Choices:
4/5 < X < 8/5.
-5/8 < X < 5/4.
2.5 < X < 3.5.
5 < 8X < 12.
Answer: B
Question: Two numbers are in ratio 4:5 and their LCM is 180. The smaller number is
Choices:
15
36
45
None
Answer: B
Question: A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
Choices:
700
200
500
250
Answer: A
Question: A can do a piece of work in 4 hours. B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
12 hr
15 hr
13 hr
9 hr
Answer: A
Question: x+(1/x) = 2 find x^2 + (1/x^2)
Choices:
2
4.25
5.25
6.25
Answer: A
Question: The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 70/kg. how much did a kg of coffee cost in june ?
Choices:
70
80
100
120
Answer: A
Question: A man's age is 125% of what it was 10 years ago, but 83 1/3%
of what it will be after 10 years. What is his present age?
Choices:
50
80
55
40
Answer: A
Question: A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 80 inches. Find b.
Choices:
16
24
32
48
Answer: A
Question: For an upcoming charity event, a male vocalist has agreed to sing 3 out of 8 “old songs” and 4 out of 7 “new songs.” How many ways can the singer make his selection?
Choices:
50
150
147
600
Answer: C
Question: Kim bought a total of $4.65 worth of postage stamps in four denominations. If she bought an equal number of 10-cent and 25-cent stamps and twice as many 20-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?
Choices:
10
75
90
95
Answer: C
Question: The average earning of a person for the first four days of a week is Rs 18 and for the last four days is Rs 22. If he earns Rs 20 on the fourth day, his average earning for the whole week is?
Choices:
Rs 16
Rs 20
Rs 25.71
None of these
Answer: B
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.25 – 6.25*?
Choices:
0.5
6.25
0.25
6.0
Answer: C
Question: How many consonants are present between the first and fourth vowel in the sequence of English alphabet ?
Choices:
13
11
10
None of these
Answer: B
Question: How many 9's are there between 1 and 100?
Choices:
20
22
18
27
Answer: A
Question: A, B and C started a partnership business by investing Rs.8000, Rs.4000, Rs.2000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
Choices:
60000
80000
90000
252000
Answer: D
Question: P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 336 is divided among them . What is Q's share?
Choices:
128
134
144
None of these
Answer: A
Question: John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $57000 and Ingrid makes $72000, what is their combined tax rate?
Choices:
34.4%
35%
35.6%
36.4%
Answer: C
Question: Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
Choices:
24 hours
36 hours
48 hours
None
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
23.59
23.55
18.86
23.57
Answer: C
Question: In a lottery, there are 10 prizes and 25 blanks . A lottery is drawn at random .What is the probability of getting a prize?
Choices:
2/5
2/7
5/7
10/7
Answer: B
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
99
77
66
221
Answer: B
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5?
Choices:
20
25
30
15
Answer: A
Question: Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction K of the work will be done by Adam?
Choices:
12/47
1/3
5/12
20/47
Answer: A
Question: A, B and C can independently complete a piece of work in 8,12 and 6 days respectively. A and B work together for 4 days and leave. How long will C take to finish the remaining work?
Choices:
1
3
4
5
Answer: A
Question: z is a positive integer and multiple of 2; w = 4^z, what is the remainder when w is divided by 10?
Choices:
6
4
0
It Cannot Be Determined
Answer: A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 370 m long platform?
Choices:
55 min
47 min
67 min
49 min
Answer: D
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 12 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
96%
120%
124.2%
138%
Answer: A
Question: Which of the following fractions is the largest?
Choices:
7/8
7/2
7/5
7/6
Answer: A
Question: The value of ((x – y)³ + (y - z)³ + (z – x)³)/(15 (x – y) (y – z) (z – x))
is equal to :
Choices:
1/12
1
1/5
1/3
Answer: C
Question: A crate of apples contains 1 bruised apple for every 20 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?
Choices:
360
480
600
320
Answer: D
Question: If x = y+3+4.5x and y = x+33, what is the value of x/y ?
Choices:
-8/25
1/4.
5/6.
1.5.
Answer: A
Question: Working alone at its constant rate, machine K took 3 hours to produce 1/6 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
Choices:
12
16
24
30
Answer: A
Question: If y ≠ 3 and 2b/y is a prime integer greater than 2, which of the following must be true?
I. b = y
II. y = 1
III. b and y are prime integers.
Choices:
None
II only
III only
I and II
Answer: A
Question: Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 72th number in this set?
Choices:
573
613
616
621
Answer: A
Question: what is the compound interest on rs:80,000 for 4 months at the rate of 5% per annum
Choices:
1341.69
1343.69
1344.69
1345.69
Answer: A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
m
m
m
m
Answer: B
Question: What is the least number that should be added to 1077, so the sum of the number is divisible by 23?
Choices:
2
3
4
5
Answer: C
Question: Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 500x is the cube of a positive integer?
Choices:
2
5
10
15
Answer: A
Question: Profits in the partnership of Bess, Bill and Bob are shared in the ratio 1 : 2 : 3. If Bill's share of the profits is $300, what is Bob's share?
Choices:
$900
$600
$450
None
Answer: A
Question: A, B and C enter into a partnership and theirs shares are in the ratio 1/2 : 1/3 : 1/4. After two months, A withdraws half of his capital and after 10 months, a profit of Rs.378 is divided among them. What is B’s share?
Choices:
Rs.144
Rs.156
Rs.168
Rs.178
Answer: A
Question: A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent
Choices:
7789
5400
2887
1881
Answer: B
Question: Look at this series: 3, 1, (1/3), (1/9),... What number should come next?
Choices:
1/27
1/61
2/27
None
Answer: A
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 3 inches wide on each side, the total area would have been (M + 52) square inches. What is the perimeter of the photograph, in inches?
Choices:
10
38
40
42
Answer: A
Question: 8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 15th and the 20th terms?
Choices:
335
346
357
379
Answer: D
Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are
Choices:
12, 24, 38
12, 24, 362
12, 24, 36
12, 24, 321
Answer: C
Question: How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?
Choices:
376
236
228
212
Answer: A
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Choices:
7/18
7/12
7/19
7/15
Answer: D
Question: 78, 64, 48, 30, 10, (...)
Choices:
-12
2
8
6
Answer: A
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 10 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
Choices:
30
50
67
100
Answer: A
Question: The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17:325. the value of n is
Choices:
n=25
35
30
none of these
Answer: A
Question: An office supply store stocks two sizes of notebooks, each in five colors: blue, green, yellow, red, or pink. The store packs the notebooks in packages that contain either 4 notebooks of the same size and the same color or 4 notebooks of the same size and of 4 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choices:
12
20
24
28
Answer: B
Question: How many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long
Choices:
40
50
60
70
Answer: B
Question: What is 120% of 13/24 of 360?
Choices:
117
234
312
576
Answer: B
Question: How many odd numbers between 10 and 1,000 are the squares of integers?
Choices:
13
14
15
16
Answer: B
Question: Two trains each 150m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 95km/h while the other travels at 85km/h. how long will it take for them to pass each other completely.
Choices:
23 sec
34 sec
22 sec
6 sec
Answer: D
Question: The duplicate ratio of 6:4 is?
Choices:
9:4
1:8
1:18
1:13
Answer: A
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choices:
5760
1797
1797
2972
Answer: A
Question: A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 50 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold?
Choices:
j/67
140j
j/100+40
140j/100
Answer: A
Question: Three unbiased coins are tossed, what is the probability of getting at least 2 tails ?
Choices:
1/7
1/8
1/2
1/10
Answer: C
Question: The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 14 kmph?
Choices:
53.03
23.23
24.23
41.23
Answer: A
Question: Find number which is 70% less than 80.
Choices:
22
24
26
98
Answer: B
Question: In a BCCI meeting there are ten people. All shake hands with each other once. How many handshakes will be there altogether?
Choices:
676
278
28
21
Answer: A
Question: A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?
Choices:
3 (5/16)
3 (5/11)
3 (5/13)
3 (5/21)
Answer: B
Question: The sum of money at compound interest amounts to thrice itself in 2 years. In how many years will it be 6 times itself?
Choices:
9 years
2 years
6 years
4 years
Answer: D
Question: Three pounds of 05 grass seed contain 1 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 15 percent herbicide?
Choices:
3.75
4.5
8.4
9
Answer: C
Question: One night 17 percent of the female officers on a police force were on duty. If 204 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
480
540
600
660
Answer: C
Question: The blood groups of 100 people is distributed as follows: 15 have type A blood, 20 have B blood type, 60 have O blood type and 5 have type AB blood. If a person from this group is selected at random, what is the probability that this person has AB blood type?
Choices:
0.5
0.05
0.1
0.01
Answer: B
Question: A traveler changes 150 pounds into rupees at the rate of Rs. 7000 for 100 pounds. He spends Rs. 9060 and changes the remaining amount back to pounds at the rate of 100 pounds to Rs. 7200. How many pounds will he get?
Choices:
20 pounds
25 pounds
30 pounds
None of these
Answer: A
Question: Bill downloads the movieRevenge of the Avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked A, B and C. Each source provides download at a constant rate, but the rates of different sources are not necessarily identical. If the movie was downloaded from sources A and C alone, it would take 4 hours to complete the download. The next day, source B is available, but the other sources are inactive. How long will it take to download the trailer of the movie, a file that is 80 times smaller, from source B alone?
Choices:
15 minutes
12 minutes
10 minutes
5 minutes
Answer: D
Question: A is twice as good workman as B, and together they complete a work in 15 days. In how many days can the work be complete by B alone?
Choices:
65 days
45 days
75 days
95 days
Answer: B
Question: In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Choices:
9%
9.2%
8.6%
8.4%
Answer: B
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/9
1/8
5/8
2/9
Answer: A
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.70 per kg. What will be his gain percent?
Choices:
2 1/3 %
11 2/3 %
8 1/8 %
8 1/9 %
Answer: B
Question: There are 20 brown dogs, 10 white dogs, 15 black dogs.Totally how many dogs are there in all?
Choices:
45
25
5
30
Answer: A
Question: The Guests at a football banquet consumed a total of 327 pounds of food. if no individual guest consumed more than 2 pounds of food, What is the minimum number of guests that could have attended the banquet?
Choices:
161
162
163
164
Answer: D
Question: A goods train runs at the speed of 72 km/hr and crosses a 270 m long platform in 26 sec. What is the length of the goods train?
Choices:
166
151
250
109
Answer: C
Question: A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Choices:
45
55
65
none
Answer: A
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Choices:
720 ways
767 ways
723 ways
730 ways
Answer: A
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.13 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Choices:
1560
2832
1299
1236
Answer: A
Question: The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.460 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
Choices:
470
560
700
510
Answer: D
Question: Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 60 m, then its area is??
Choices:
200 m^2
2520 m^2
2556 m^2
2534 m^2
Answer: A
Question: The bankerâ€™s gain on a sum due 3 years hence at 10% per annum is Rs. 60. The bankerâ€™s discount is
Choices:
Rs.840
Rs.1020
Rs.760
Rs.260
Answer: D
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
129
132
142
144
Answer: B
Question: If a,b are positive integers and a/b=77.75 which of the following could be the value of b?
Choices:
2. 26
3. 27
4. 27
4. 32
Answer: D
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?
Choices:
$11000
$22000
$2750
$44000
Answer: C
Question: How is 4% expressed as a decimal fraction?
Choices:
0.04
0.004
0.0004
4
Answer: A
Question: Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?
Choices:
32
279
27
91
Answer: A
Question: Two trains A and B are 175 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.
Choices:
6 s
4 s
8 s
13 s
Answer: D
Question: In how many ways can a committee of 4 people comprising at least 3 boys be formed using a group of 4 boys and 6 girls?
Choices:
64
65
66
None of these
Answer: A
Question: A sporting goods store sold 64 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $204, what is the fewest number of $3 Frisbees that could have been sold?
Choices:
12
8
52
2
Answer: C
Question: water is continuously poured from a reservoir to a locality at the steady rate of 10,000 liters per hour. When delivery exceeds demand the excess water is stored in a tank. If the demand for 8 consecutive three-hour periods is 10000,10000,45000,25000,40000,15000,60000 and 35000 liters respectively, what will be the minimum capacity required of the water tank (in 1000 litres) to meet the demand?
Choices:
30
40
50
60
Answer: B
Question: If an article is sold at 18% profit instead of 11% profit, then the profit would be $56 more. What is the cost price?
Choices:
$800
$1000
$1200
$1400
Answer: A
Question: If the tens digit of positive integers x, y are 6, how many values of the tens digit of 2(x+y) can be there?
Choices:
3
4
5
6
Answer: B
Question: Three-fourth of a positive number and 25/216 of its reciprocal are equal. The number is:
Choices:
5/12.72
25/144
144/25
146/25
Answer: A
Question: The guidelines at a certain college specify that for the introductory English class, the professor may choose one of six specified novels, and choose two plays from a list of 6 specified plays. Thus, the reading list for this introductory class has one novel and two plays. How many different reading lists could a professor create within these parameters?
Choices:
70
80
90
100
Answer: C
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
Rs.4528
Rs.4528
Rs.4530
Rs.4537
Answer: C
Question: In N is a positive integer less than 200, and 27N/60 is an integer, then N has how many different positive prime factors?
Choices:
2
5
6
8
Answer: A
Question: Adding 20% of x to x is equivalent to multiplying x by which of the following?
Choices:
1.05
1.15
1.2
1.25
Answer: C
Question: Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations T of classes are available?
Choices:
T=6
T=7
T=9
T=12
Answer: C
Question: How many different possible arrangements A can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
Choices:
720
900
1800
5040
Answer: B
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
270
876
279
367
Answer: A
Question: . Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2000
2007
20054
2002
Answer: A
Question: At 6′o a clock ticks 6 times. The time between first and last ticks is 20 seconds. How long does it tick at 12′o clock
Choices:
76
44
66
11
Answer: B
Question: How much 50% of 56 is greater than 30% of 50?
Choices:
99
13
55
71
Answer: B
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Choices:
10
12
16
18
Answer: A
Question: The closest approximation of F(69.28 × 0.004)/0.03 is
Choices:
0.92
9.2
92
920
Answer: B
Question: The number of natural numbers n such that (n+1)^2/(n+7) is an integer, is ?
Choices:
4
6
7
8
Answer: A
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Choices:
6, 12, and 8 kg
7, 12, and 8 kg
8, 12, and 8 kg
None
Answer: A