antoine-444/aqua_rat_dataset huggingface dataset:
Question: 7500 + (1250 / 50)
Choices:
7525
7550
8000
None of these
Answer: A
Question: A driver paid n dollars for auto insurance for the year 1997. This annual premium was raised by p percent for the year 1998; for each of the years 1999 and 2000, the premium was decreased by 1/6 from the previous year’s figure. If the driver’s insurance premium for the year 2000 was again n dollars, what is the value of p?
Choices:
33 1/3
36
44
50
Answer: C
Question: Which of the following is equal to the cube of a non-integer?
Choices:
–1
8
9
27
Answer: C
Question: Two sides of a triangle have lengths x and e and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to e ?
Choices:
b) 3 : 4
c) 4 : 3
d) 3 : 2
e) 2 : 1
Answer: A
Question: Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $36.11. How much did the meal cost without the tip?
Choices:
$29.91
$30.40
$30.60
$30.85
Answer: B
Question: A amount doubles itself in 15 years. what is the rate of interest?
Choices:
20/3 %
40/3 %
50/3 %
70/3 %
Answer: A
Question: In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 15 different models of televisions, what is the minimum number of letters that must be used to make the codes?
Choices:
7
4
9
10
Answer: B
Question: The number of stamps that P and Q had were in the ratio of 7:3 respectively. After P gave Q 13 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 5:4. As a result of the gift, P had how many more stamps than Q?
Choices:
10
40
65
90
Answer: A
Question: Solution Y is 30 percent liquid X and 70 percent water. If 3 kilograms of water evaporate from 8 kilograms of solution Y and 3 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
Choices:
37%
41.3%
42%
45%
Answer: B
Question: 40% of a number is added to 120, the result is the same number. Find the number?
Choices:
400
1687
997
121
Answer: A
Question: The average of first 22 natural numbers is?
Choices:
11.5
12.9
15.4
15.1
Answer: A
Question: A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
Choices:
18 years
24 years
32 years
34 years
Answer: A
Question: Pointing to a photograph, a lady tells Pramod, "I am the only daughter of this lady and her son is your maternal uncle." How is the speaker related to Pramod's father
Choices:
Wife
Either (a) or (b)
Neither (a) nor (b)
Either B) or (A)
Answer: A
Question: Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature E in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6
Choices:
30
30.5
31
32
Answer: A
Question: If two letters are chosen at random (without replacement) from the word HORSEBACK, what is the probability that none of the letters are vowels?
Choices:
5/9
5/12
7/24
11/36
Answer: B
Question: You collect baseball cards. Suppose you start out with 11. Maria takes half of one more than the number of baseball cards you have. Since you're nice, you give Peter 1 baseball card. Since his father makes baseball cards, Paul decides to triple your baseball cards. How many baseball cards do you have at the end?
Choices:
12
19
20
21
Answer: A
Question: Find the smallest number which when divided by 11 and 12 leaves respective remainders of 2 and 3.
Choices:
131
207
219
227
Answer: A
Question: A two-digit number is seven times the sum of its digits. If each digit is increased by 2, the number thus obtained is 4 more than six times the sum of its digits. Find the number.
Choices:
42
48
Data inadequate
None of these
Answer: A
Question: Ross has 20 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
Choices:
3 ; 5.
3 ; 7.
3 ; 8.
3 ; 9.
Answer: A
Question: Consider an equilateral triangle 4ABC with unit side length. Let M be the midpoint of side
AB. A ball is released in a straight line from M and bounces o the side BC at a point D.
Then, it bounces o the side CA at a point E and lands exactly at B. By the law of re
ection,
we have \BDM = \CDE and \CED = \AEB. Calculate MD + DE + EB, the distance
that the ball travels before reaching B.
Choices:
√11/2
√13/2
√14/2
√17/2
Answer: B
Question: A firm has 4 senior partners and 6 junior partners. How many different groups D of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
100
120
288
600
Answer: A
Question: A man's speed with the current is 30km/hr and the speed of the current is 5 km/hr. The man's speed against the current is
Choices:
20 km/hr
25 km/hr
30 km/hr
35 km/hr
Answer: A
Question: (786×74) ÷ ? = 1211.75
Choices:
48
58
68
48
Answer: A
Question: A store’s selling price of $2240 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 60 percent of the computer’s cost?
Choices:
$2464
$2560
$2732
$2800
Answer: B
Question: Using all the letters of the word "NOKIASE", how many words can be formed, which begin with N and end with A?
Choices:
120
9
3
1
Answer: A
Question: A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.6 m and its walls are 5 cm thick. The thickness of the bottom is:
Choices:
6 dm
1 m
1.1 cm
None of these
Answer: A
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
Choices:
800 sq cm
209 sq cm
Cannot be determined
200 sq cm
Answer: C
Question: what is the integer among the following that represents a sum of 3 consecutive even integers?
Choices:
303
400
554
588
Answer: D
Question: Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?
Choices:
3
4
5
6
Answer: A
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 5,200 milk chocolates per month, what was it one month ago?
Choices:
9000 chocolates
4000 chocolates
7000 chocolates
None of these
Answer: B
Question: If the numerator of a fraction Q is tripled, and the denominator of a fraction is doubled, the resulting fraction will reflect an increase of what percent?
Choices:
25%
33 1⁄3%
50%
66 2⁄3%
Answer: C
Question: The price of pulses has fallen by 22%. How many quintals can be bought for the same amount which was sufficient to buy 20 quintals at the higher price?
Choices:
22.5
25.6
27.8
32.5
Answer: B
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.150. Find the unknown rate of two blankets?
Choices:
450
250
300
350
Answer: A
Question: A certain series is defined by the following recursive rule: Sp=K(Sp-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, wha is the 9th term?
Choices:
ROOT 3
64*ROOT 3
64*3^1/3
64*3^24
Answer: C
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
112600 m
153600 m
153500 m
154300 m
Answer: B
Question: The difference between the place value and the face value of 6 in the numeral 856973 is
Choices:
5994
973
1000
7000
Answer: A
Question: Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 1/16 meters. What is value of the radius in meters?
Choices:
2
4
8
12
Answer: B
Question: Find the smallest number that should be multiplied with 54000 to make it a perfect cube.
Choices:
4
6
3
7
Answer: A
Question: A factory produces 4340 toys per week. If the workers at this factory work 2 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choices:
2170 toys
2375 toys
2175 toys
5375 toys
Answer: A
Question: If the terms of a series are either2or24and the sum of all the terms S of the series is 124, then which of the following could be the number of2sin the series?
Choices:
26
35
40
48
Answer: A
Question: Two pipes A&B can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.
Choices:
8 min
21 min
23 min
24 min
Answer: A
Question: If x≠7 and (x^2 - 49)/(2y) = (x - 7)/4, then in terms of y, x = ?
Choices:
(y - 3)/2
y - 3
y - 6
(y - 14)/2
Answer: D
Question: The speed of a car is 50 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
85 kmph
55 kmph
23 kmph
14 kmph
Answer: B
Question: (√27+√192)/√54=?
Choices:
2√3
3√2
11/(3*√2)
√2
Answer: C
Question: 300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
12
14
16
17
Answer: A
Question: Line L passes through the points (-2,0) and (0,a). Line LL passes through the points (4,0) and (6,2). What value of a makes the two lines parallel?
Choices:
2
3
4
5
Answer: A
Question: A and B can do a piece of work in 6 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?
Choices:
12 days
15 days
60 days
40 days
Answer: A
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Choices:
5 years
9 years
4 years
1 years
Answer: C
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
Rs. 15000
Rs. 14700
Rs. 15900
None of these
Answer: A
Question: The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/3 of the diamonds he had then, and 3 more besides. He escaped with 3 diamonds. How many did he steal originally?
Choices:
198
200
None of these
Cannot be determined
Answer: A
Question: In how many different Q ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Choices:
288
576
10,080
20,160
Answer: B
Question: a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the addition of the maximum and minimum possible values of 'a + b'?
Choices:
34
30
25
12
Answer: B
Question: On a map, 1 inch represents 28 miles. How many B inches would be necessary to represent a distance of 383.6 miles?
Choices:
7.4
13.7
21.2
28.7
Answer: B
Question: Approximately how many revolutions will be made by a car tire with a 13-inch diameter if the car travels 1⁄2 mile?
Choices:
180
772
720
1,440
Answer: B
Question: On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?
Choices:
1
2
3
4
Answer: A
Question: A milkman sells his milk at CP but he mixes it with water and thereby gains 25%. What is the % of water in the mixture?
Choices:
15%
20%
25%
30%
Answer: B
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 6000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Choices:
11,600
12,000
14,000
16,000
Answer: D
Question: There are 137 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
Choices:
11
12
13
15
Answer: D
Question: A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 90 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 50 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?
Choices:
−5%
15%
20%
80%
Answer: A
Question: The average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Choices:
93 Kg
85 Kg
80 Kg
60 KG
Answer: A
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
16
15
23
24
Answer: D
Question: John bought Blue and Pink recorder for pupils in his music class in the ratio of 6:4. If 40% of the Blue recorder and 60% of the pink recorder were bought at half price, how many recorders did John buy at half price?
Choices:
48%
44%
46%
47%
Answer: A
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5 km
4/6
4/2
4/1
Answer: A
Question: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 20 percent was planted with potato and 70 percent of the cleared land was planted with tomato. If the remaining 630 acres of cleared land was planted with corn, how many acres did the farmer own?
Choices:
7000
8000
5400
7100
Answer: A
Question: A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 700 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
Choices:
(B + 2)/6.
(2B + 200)/3.
(B + 2)/3.
(B - 2)/6.
Answer: B
Question: The Ultimate Boxwood Derby is coming up and two competitors are testing their model cars on the ultra long endurance track. Sandra launches her car, The Pink Lady, half a minute before Dee launches her car, Greased Lightning. The Pink Lady goes at 40 meters per minute and Greased Lightning goes 50 meters per minute. Where will Greased Lightning overtake The Pink Lady on this 50 meter long track?
Choices:
At the 35 meter mark
At the 40 meter mark
At the 50 meter finish line!
There is not enough room, The Pink Lady will win.
Answer: D
Question: TOM traveled the entire 60 miles trip. If he did the first 12 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Choices:
24mph
30mph
40mph
42mph
Answer: C
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
476
277
268
982
Answer: A
Question: If a train, travelling at a speed of 80 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
121.111 m
111.11 m
141.111 m
181.111 m
Answer: B
Question: For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour. The factory also requires 8 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 50N in one hour, where N is a positive integer?
Choices:
12 + 2N
8 + 2N
37N
25
Answer: B
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 15 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Choices:
1,320
455
315
220
Answer: B
Question: A single discount equivalent to the discount series of 30%, 10% and 8% is?
Choices:
42.04
31.6
31.2
31.9
Answer: A
Question: A rectangular box of volume V has width, depth and height in the ratio of 2:1:3 (in that order). What is the height as a function of V?
Choices:
(2V/6)^(1/3)
(9V/2)^(1/3)
(4V/3)^(1/3)
(4V/2)^(1/3)
Answer: B
Question: In expressing a length 810472 km as nearly as possible with three significant digits , find the percentage error.
Choices:
0.304%
30.4%
0.034%
3.40%
Answer: C
Question: The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person
Choices:
20
25
30
28%
Answer: C
Question: Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 65 percent of the total number of employees work in research, how many male employees do NOT work in research?
Choices:
480
392
208
38
Answer: D
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 19.7%. What would have been the percentage of profit earned if no discount was offered?
Choices:
26%
30%
56%
73%
Answer: A
Question: If the speed of X meters per minute is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)
Choices:
6x/5
18x/5
0.06x
3600000x
Answer: C
Question: If a number p is prime, and 2p+1 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q
Choices:
3
5
7
9
Answer: A
Question: Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 10 seconds. The length of the faster train is
Choices:
225 m
120 m
180 m
None
Answer: A
Question: The simple interest on Rs.11000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
Choices:
3052.89
3052.85
3068.51
3068.81
Answer: C
Question: Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 15 machines produce in 6 minutes?
Choices:
6300
8400
50400
67200
Answer: A
Question: In a factory, there are 90% technicians and 10% non-technicians. If the 90% of the technicians and 10% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
57%
52%
82%
42%
Answer: C
Question: A mixture contains milk and water in the ratio 5:2. On adding 10 liters of water, the ratio of milk to water becomes 5:3. The quantity of milk in the original mixture is?
Choices:
48
52
56
70
Answer: D
Question: At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hr less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for this 24 miles round trip, the downstream 12 miles would then take only 1 hr less than the upstream 12 miles. What is the speed of the current in miles per hour?
Choices:
4/3
5/3
8/3
None of these
Answer: C
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:
4
8
4
7
Answer: C
Question: The fraction 101 27/100000 in decimal for is:
Choices:
101.00027
101.0027
101.027
None of them
Answer: A
Question: If exactly 7 guests drank only one of the two types of drinks, how many guests drank both types of drinks?
Choices:
6
7
4
2
Answer: D
Question: Sara is younger than Robert by 8 years. If their ages are in the respective ratio of 3:5, how old is Sara?
Choices:
10
12
15
20
Answer: B
Question: A car covers a distance of 520 km in 4 hours. Find its speed?
Choices:
130
298
269
213
Answer: A
Question: A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 16 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
Choices:
75
80
85
90
Answer: B
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 5% p.a. in 5 years. What is the sum?
Choices:
14520
16065
18925
12887
Answer: B
Question: A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 504. What is the sum of the last 8 of the even integers?
Choices:
614
620
626
632
Answer: D
Question: At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 2:1. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
Choices:
4/5
6/2
5/2
4/9
Answer: D
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 11 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
Choices:
36
34 2/7
47 1/7
34 6/7
Answer: C
Question: If a man crosses a 600 m long street in 5 minutes. What is his speed?
Choices:
7.1 km/hr
7.2 km/hr
8 km/hr
8.5 km/hr
Answer: B
Question: 3^7+3^7+3^7=?
Choices:
a) 81^2
c) 81^5
d) 81^6
e) 81^15
Answer: A
Question: Mohit sold an article for Rs . 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
Rs.15000
26879
26992
12681
Answer: A
Question: Nr Books bought Nr of People
5 7
6 3
7 3
8 2
What is the median of books bought per person?
Choices:
b) 4
c) 6
d) 8
e) 18
Answer: B
Question: A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 20% so that the customer could not buy the required amount of the product. The customer managed to buy only 80% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase?
Choices:
8%
6%
4%
2%
Answer: C
Question: For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the standard deviation for the exam?
Choices:
6
8
0
2
Answer: B
Question: A committee has 5 men and 5 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
100
882
272
323
Answer: A
Question: The G.C.D of 1.08, 0.36 and 1.5 is
Choices:
0.06
0.18
0.11
0.12
Answer: A
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $155, $155, $199, $199, $219
Choices:
1
2
3
4
Answer: A
Question: The average of 2,7,6 and x is 5 and the average of 18,1,6,x and y is 10. What is the value of y ?
Choices:
10
20
30
40
Answer: B
Question: A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 5 new non-fiction books in the right window. Assuming she can put the five fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Choices:
720
2880
336
420
Answer: B
Question: The larger of two negative consecutive even integers 2t and 2(t-1) is multiplied by 6 and then added to the smaller of the two original integers. Which of the following represents this operation?
Choices:
8t-2
14t-2
3
-2-4t^2
Answer: B
Question: Number of ways in which the letters of word PARTI can be arranged with vowels in alphabetical order, is
Choices:
60
120
480
None of these
Answer: A
Question: Each shelf of a bookcase contained 11 books. If the librarian took out 33 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 2 books, how many shelves does the bookcase have?
Choices:
6
7
8
9
Answer: B
Question: If 60 percent of the members of a certain organization are women and 6/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of married men in the organization is greater than the number of unmarried men in the organization.
Choices:
III
I, II
I
II, III
Answer: B
Question: The price of pulses has fallen by 20%. How many quintals can be bought for the same amount which was sufficient to buy 18 quintals at the higher price?
Choices:
22.5
25
30
32.5
Answer: A
Question: There are 6 boxes numbered 1, 2,3,4,5 and 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball & the boxes containing green balls are consecutively numbered. The total no. of ways in which this can be done is?
Choices:
19
21
23
25
Answer: B
Question: A, B and C enter into a partnership by investing $11000, $15000 and $23000 respectively. At the end of 8 months, B receives $3315 as his share. Find the share of A.
Choices:
$2087
$2217
$2431
$2662
Answer: C
Question: A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 50 cubic feet, to what fraction of its capacity is the tank filled with water?
Choices:
2/3
3/4
2/5
5/6
Answer: C
Question: 5 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 66. What is the number?
Choices:
20
22
30
45
Answer: B
Question: In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability Y that the worker is under 25 years old?
Choices:
0.25
0.45
0.70
0.90
Answer: C
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Choices:
9400
9600
9800
7500
Answer: B
Question: In an xy-coordinate plane, a line is defined by y = kx + 1. If (4, b), (a, 5), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?
Choices:
1
3/4
2
5/2
Answer: B
Question: A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B’s money was used?
Choices:
6 months
8 months
10 months
None
Answer: C
Question: A searchlight on top of the watchtower makes 2 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 6 seconds?
Choices:
4/5
3/4
2/3
1/2
Answer: A
Question: what is the probability of always having x+y>0 ,where y<0
Choices:
1/8
3/4
1/4
none
Answer: C
Question: According to the 2001 census,the population growth rate of Lucknow is going to be an increasing AP with first year's rate as 5% and common difference as 5% but simultaneously the migration,rate is an increasing GP with first term as 1% and common ratio of 2.If the population on 31 december 2000 is 1 million,thn find in which year will Lucknow witness its first fall in population?
Choices:
2006
2005
2008
2009
Answer: A
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
54
25
86
23
Answer: B
Question: For any two numbers X and Y , define X#Y=X+Y -XY . If X,Y>0.5, then X#X < Y#Y if
i. 1>X>Y
ii. 1>Y>X
iii. Y>X>1
Choices:
option ii only
i and ii only
ii and iii only
i and ii only
Answer: A
Question: Car Z travels 50 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. How many miles does car Z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour?
Choices:
375.2
400
408.3
440
Answer: B
Question: How many positive integers will divide evenly into 310?
Choices:
6
8
12
16
Answer: B
Question: 3,7,12,..............4th terms
Choices:
53
18
65
78
Answer: B
Question: Divide Rs. 1700 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
425
375
337
639
Answer: A
Question: A person traveled from his house to office at 30 kmph; then he was late to his office by 5 minutes. If he increases his speed by 10 kmph he would be early by 15 minutes to his office. What should be his speed so that he reaches his office on time ?
Choices:
32 kmph
34 kmph
35 kmph
37 kmph
Answer: A
Question: Which of the options below is the lowest interger divisible by all the numbers below: 1,2,3,4,5,6,7,8,9,10
Choices:
1222
2520
2894
1430
Answer: B
Question: If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 12, respectively, what is the probability that b/a will not be an integer?
Choices:
3/12
4/12
1/2
2/3
Answer: A
Question: If def < 0 and ef > 0, which of the following must be positive?
Choices:
xz
(d^2)ef
d(e^2)f
xy(z^2)
Answer: B
Question: Jim bought edging to go around a circular garden with a radius of 10 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy?
Choices:
48.84' additional edging
38.84' additional edging
62.80' additional edging
58.84' additional edging
Answer: C
Question: The sum of the present ages of two persons A and B is 90. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Choices:
60
70
80
100
Answer: D
Question: The area of circle O is added to its diameter. If the circumference of circle O is then subtracted from this total, the result is 10. What is the radius of circle O?
Choices:
2
3
4
5
Answer: D
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 24% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Choices:
13.2%
15%
22%
30%
Answer: A
Question: The average age of students in section A of 124 students is 22 years and the average age of students in section B of 145 students is 32 years. Find the average age of students in both sections taken together?
Choices:
27 years
15years
25years
20years
Answer: A
Question: How many pieces of 85 cm length can be cut from a rod of 29.75 meters long?
Choices:
45
35
25
15
Answer: B
Question: 26 An uneducated retailar marks all its goods at 50% above the cost price and thinking that he will still make 25% profit,offers a discount of 25% on the marked price.what is the actual profit on the sales?
Choices:
10.50%
9.50%
12.50%
10%
Answer: C
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 800 per sq. meter.
Choices:
Rs.19500
Rs.18000
Rs.16500
Rs.17500
Answer: C
Question: In six successive games, a baseball team scored 1 runs once, 4 runs twice, and 5 runs three times.
What was the average (arithmetic mean) number of runs the team scored per game over the six-game period?
Choices:
7
6
5
4
Answer: D
Question: Your town has a population of 1260. Every three people have a car. How many cars are in your town?
Choices:
410
420
430
450
Answer: B
Question: Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 7 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?
Source: Chili Hot GMAT
Choices:
14
9
6
5
Answer: A
Question: The mass of 1 cubic meter of a substance is 500 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
0
1
2
3
Answer: C
Question: For a road work, a contractor was given a deadline to complete the work in 25 days. Hence, he employed a certain number of workers to accomplish the job. But from the very first day 9 workers were absent and the remaining workers could finish the work in 40 days. What number of workers did the contractor hired in the beginning?
Choices:
24
26
19
17
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
267
342
287
261
Answer: B
Question: Two taps can separately fill a cistern 20 minutes and 20 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
22.7
22.6
22.9
22.5
Answer: D
Question: Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $50.00 on four CDs and five tapes, how much does one tape cost?
Choices:
$5.00
$12.00
$25.00
$100.00
Answer: A
Question: If a/x = 1/3 and a/y =1/ 6, then (x + y) =
Choices:
B)a/2
C)6a
D)7a
E)9a
Answer: D
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 numbers will be 7?
Choices:
1/7
0
1/2
12/21
Answer: B
Question: Calculate the average of all the numbers between 18 and 57 which are divisible by 7.
Choices:
38.5
18.5
32.5
28.5
Answer: A
Question: Rajan travelled for 12 hours. He covered the first half of the distance at 60 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by Rajan?
Choices:
576
476
566
676
Answer: A
Question: 2500 - (1002 / 20.04) = ?
Choices:
2983
2982
2450
None of these
Answer: C
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
230 m
260 m
320 m
None of these
Answer: A
Question: Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 7 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 7 questions did Zachary answer correctly?
Choices:
7
8
9
10
Answer: A
Question: It is known that no more than 50 guests will be attending a party. What is the smallest number of sweets that must be brought to the party so that each guest receives the same number of sweets?
Choices:
100
56
87
15
Answer: A
Question: For each color copy, Print Shop X charges $1.20 and Print Shop Y charges $1.70. How much greater is the charge for 70 color copies at Print Shop Y than at Print Shop X?
Choices:
$29
$31
$33
$35
Answer: D
Question: If Rs. 10 be allowed as true discount on bill of Rs. 110 due at the end of a certain time, then the discount allowedon the same sum due at the end of double the time is:
Choices:
18.33
20.21
26
None
Answer: A
Question: During the last four years, a large truck company purchased diesel at rates of $1.2, $1.4, $1.5 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year?
Choices:
$2.55
$1.49
$3.25
$3.0
Answer: B
Question: Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
Choices:
65
28
27
19
Answer: A
Question: 1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $80, a 20% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
Choices:
86.0
89.1
89.5
90.0
Answer: A
Question: Carl can wash all the windows of his house in 8 hours. His wife Maggie can wash all the windows in 4 hours. How many hours will it take for both of them working together to wash all the windows?
Choices:
2 1/4
3 2/2
4 1/2
5
Answer: B
Question: A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
Choices:
6 sec
7 sec
10 sec
None
Answer: A
Question: Jeevan bought an article with 30 per cent discount on the labelled price. He sold the article with 12 per cent profit on the labelled price. What was his per cent profit on the price he bought?
Choices:
50
60
Data inadequate
None of these
Answer: B
Question: Which of the following fractions is greater than 3/4 and less than 5/6?
Choices:
4/5
1/5
3/5
None of them
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm
Choices:
179 cm2
285 cm2
167 cm2
197 cm2
Answer: B
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Choices:
2
4
5
6
Answer: A
Question: Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 25-ounce cans or 15-ounce cans of chili paste. If the restaurant must order 40 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs?
Choices:
30
60
45
55
Answer: B
Question: Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed X?
Choices:
8
10
12
16
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
Choices:
1/127
1/178
1/129
1/126
Answer: D
Question: A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member?
Choices:
.20%
25%
40%
50%
Answer: D
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
months
months
months
months
Answer: C
Question: An amount of money lent against simple interest at 4 1/2 % per annum amounts to Rs.381 after 6 years. Find the sum.
Choices:
200
300
400
500
Answer: B
Question: The perimeter of a square is equal to the perimeter of a rectangle of length 19 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
23.54
23.5
24.55
25.93
Answer: D
Question: Amar takes as much time in running 24 meters as a car takes in covering 60 meters. What will be the distance covered by Amar during the time the car covers 2.2 km?
Choices:
500 m
870 m
880 m
840 m
Answer: C
Question: A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially?
Choices:
21
20
10
15
Answer: A
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
3120
2798
2689
2761
Answer: A
Question: In a bag, there are 2400 ball, and their colors are red, green blue.. The ratio of the balls are 15:13:17.Then how many red color balls are available in the bag?
Choices:
900
750
890
1010
Answer: A
Question: By mixing two brands of coffee and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Choices:
23
116.66
10.66
43.2
Answer: B
Question: In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 8 men and 9 women?
Choices:
8C4 9C5
7C5 9C4
9C4 7C5
NONE
Answer: A
Question: If x < y < 0, which of the following must be true?
Choices:
x+y is a negative integer
xy is a negative integer
x/y is a negative integer
2x/y is a negative integer
Answer: A
Question: There is a total of 120 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 1/3. What is the probability that the marble will be either red or blue ?
Choices:
1/4
2/7
1/3
5/12
Answer: D
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 15000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
13.85%
18%
82%
23%
Answer: A
Question: Seven cards numbered from 1 to 7 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 4?
Choices:
1/10
1/7
1/5
2/5
Answer: D
Question: How many litres of pure acid are there in 10 litres of a 25% solution
Choices:
1.6
2.5
1.8
1.9
Answer: B
Question: Last year, Bill's farm produced 768,000 oranges. If Bill distributed his apples evenly across 9 different retail shops, how many apples remained with him.
Choices:
2 oranges
3 oranges
4 oranges
5 oranges
Answer: B
Question: Sara's mother is 6 times older than Sara. Next year, however, she will be only 5 times older than her daughter. How old is Sara's mother.
Choices:
24 years
26 years
27 years
28 years
Answer: A
Question: 48 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
16
13
18
19
Answer: A
Question: 5,7,11,19,35, (...)
Choices:
67
5
64
32
Answer: A
Question: If 6^q is a factor of (10!)^2, What is the greatest possible value of q ?
Choices:
4
6
8
10
Answer: C
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150
279
277
267
Answer: A
Question: How many 3-digit even numbers are possible such that if one of the digits is 5, the next/succeeding digit to it should be 6
Choices:
5
365
405
495
Answer: A
Question: A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 330 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second?
Choices:
330 * sqrt 2
330 * sqrt (2^12)
330 * the twelfth root of (2^7)
330 * the seventh root of (2^12)
Answer: A
Question: A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is?
Choices:
268
270
150
282
Answer: C
Question: Find the average of first 50 natural numbers.
Choices:
A)25.5
C)24.5
D)19.9
E)25
Answer: A
Question: If x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $48. If $2,000 is the total amount invested, how much is invested at 9 percent?
Choices:
250
1223.53
1133.24
776.47
Answer: B
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Choices:
270
289
480
211
Answer: C
Question: An urn contains 5 red, 6 blue and 8 green balls. 3 balls are randomly selected from the urn, find the probability that the drawn ball are blue?
Choices:
20/969
21/876
3/512
2/9
Answer: A
Question: A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 970gm. for a kg.His gain is …%.
Choices:
3.09%
4.26%
6.26%
7.26%
Answer: A
Question: Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 30 days.
Choices:
17 days.
18 days.
19 days.
20 days.
Answer: B
Question: During a sale of 20% on everything in a store, a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies. The store still makes a profit of 10% on this sale. What is the mark up percentage on each candy?
Choices:
80%
75%
66+2/3%
55%
Answer: B
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
Choices:
6
8
9
10
Answer: A
Question: Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?
Choices:
3864
3799
1267
2991
Answer: A
Question: 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how
many days will 10 women working together finish it ?
Choices:
40 days
50 days
60 days
None of these
Answer: A
Question: In a company of 15 employees, 6 employees earn $37,000, 5 employees earn $42,000, and the 4 highest-paid employees earn the same amount. If the average annual salary for the 15 employees is $45,000, what is the annual salary for each of the highest-paid employees?
Choices:
$57,750
$59,250
$60,750
$62,250
Answer: C
Question: $500 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
Choices:
$150
$125
$200
$250
Answer: C
Question: Eight years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Choices:
B)28
C)45
D)25
E)26
Answer: A
Question: 28 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
38.25
33.25
12.25
31.25
Answer: C
Question: If the number is divided by 3, it reduced by 24. The number is
Choices:
B)50
C)45
D)40
E)36
Answer: D
Question: A grocer has a sale of Rs. 3435, Rs. 3927, Rs. 3855, Rs. 4230 and Rs. 3562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 3500?
Choices:
s. 1991
s. 3991
s. 4991
s. 5991
Answer: A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.74 less, he could have gained 25%. What is the cost price?
Choices:
s.370
s.375
s.350
s.300
Answer: A
Question: Ian is paid an hourly wage, totaling $400 for h hours of work in a week, where h >0. If Ian's hourly wage increases by 25% and Ian decides to work 25% fewer hours each week, how much will Ian be paid in a week?
Choices:
$375
$400
$425
$600
Answer: A