antoine-444/aqua_rat_dataset huggingface dataset:
Question: At a certain high school, the senior class is twice the size of the junior class. If 3/8 of the seniors and 1/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese?
Choices:
2/3
1/4
1/3
3/4
Answer: C
Question: Evaluate: |8 - 8(3 - 12)| - |5 - 11| = ?
Choices:
74
60
70
80
Answer: A
Question: A ship sails out to a mark at the rate of 23 kmph. and sails back at the rate of 16 kmph. The average rate of sailing is ?
Choices:
12 km/hr
12.5 km/hr
19 km/hr
None
Answer: C
Question: 1 man or 2 women or 3 boys can do a work in 44days. Then in how many days will 1man, 1woman and 1 boy do the work?
Choices:
24days
30days
15days
10days
Answer: A
Question: If 150!/10^n is an integer, what is the largest possible value of n?
Choices:
47
32
36
37
Answer: D
Question: A car traveled 75% of the way from town A to town B at an average speed of 80 miles per hour. The car travels at an average speed of S miles per hour for the remaining part of the trip. The average speed for the entire trip was 40 miles per hour. What is S ?
Choices:
16
25
30
37.5
Answer: A
Question: The average age of an adult class is 40years. 17 new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Choices:
12
15
17
18
Answer: C
Question: find the number
if 1 = 2
2 = 10
3 = 30
4 = 68
5 = ?
Choices:
120
130
140
150
Answer: B
Question: A tank contains 7,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
5.77%
6.77%
7.77%
8.77%
Answer: C
Question: A starts 3min after B for a place 4.5 km distant B on reaching his destination immediately returns and after walking a km meets A. If A can walk 1km in 18min, then what is B's speed?
Choices:
5kmph
6kmph
3.5kmph
4.5kmph
Answer: A
Question: In how many ways 4 Indians and 5 Englishmen can be seated in a row so that they are alternate?
Choices:
9600
3240
4250
2880
Answer: D
Question: 45 men can complete a work in 17 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?
Choices:
6.6
15
7
8
Answer: A
Question: Johnny borrows $30,000 from Tony at 3% daily interest compounded daily. How much does Johnny owe Tony after 4 weeks?
Choices:
30000*1.12
30000*2.12
30000*1.03^28
(30000*1.02)^56
Answer: C
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 22 sec. What is the length of the goods train?
Choices:
190
276
270
281
Answer: A
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.20000, find their shares?
Choices:
s.8000, Rs.12000
s.10000, Rs.12090
s.8000, Rs.12003
s.10000, Rs.12200
Answer: A
Question: Let y = 2g + x^2 and g = 4x + 1.
If g^2 = 625, then which of the following can be a value of 2y + 3g?
Choices:
130
141
142
247
Answer: D
Question: For what value(s) of x is the following equation satisfied: 5x-9-4x = -4x+6+5x
Choices:
b. 0 only
c. 5/2 only
d. No value
e. Any value
Answer: C
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
18:11
23:12
11:9
11:10
Answer: A
Question: An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
720 km/hr
780 km/hr
800 km/hr
890 km/hr
Answer: A
Question: Certain stocks in April were 10% less than they were in May and 20% Lesser than they were in June. What was the percentage decrease in the stocks from May to June?
Choices:
10%
20%
28%
50%
Answer: C
Question: Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 1 on it?
Choices:
1/10
11/100
19/100
1/5
Answer: D
Question: find the remainder (32)^33^34 when divided by 11?
Choices:
10
11
12
13
Answer: A
Question: 4 + 4 + 4 + 4 + 3 x 4^2 + 3 x 4^3 + 3 x 4^4 + 3 x 4^5 + 3 x 4^6 =
Choices:
4^20
4^16
4^12
4^7
Answer: D
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?
Choices:
25
77
99
91
Answer: A
Question: In Town X, 64 percent of the population are employed, and 40 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
24%
38%
40%
52%
Answer: B
Question: A boat can move upstream at 35 kmph and downstream at 75 kmph, then the speed of the current is?
A. 5 kmph
Choices:
12
17
13
20
Answer: D
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number?
Choices:
1386
3108
308
13986
Answer: D
Question: Sunil invested $ 1800 fir 4 years and $ 1300 for 2 years at the same rate of Simple Interest. If the total interest from these investments is $ 1900, what is the rate of interest?
Choices:
5 1/3%
19 1/4%
16%
18 2/4%
Answer: B
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
Choices:
2669
2200
2766
2998
Answer: B
Question: Pipe A fills a tank in 42 minutes. Pipe B can fill the same tank 6 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
Choices:
4
5
6
7
Answer: C
Question: A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Choices:
320
450
540
110
Answer: B
Question: A small water pump would take 3 hours to fill an empty tank. A larger pump would take 1/4 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
Choices:
3/13
1/10
1/3
1/7
Answer: A
Question: Susan, John, Tim, Matt and Kim need to be seated in 5 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Choices:
A)60
C)80
D)240
E)60
Answer: A
Question: On the xy co-ordinate plane, point C is (4,-2) and point D is (-1,2.5). The point on line segment CD that is twice as far from C as from D is:
Choices:
(1,1)
(2,0.25)
(3,0.5)
(3,1)
Answer: D
Question: A man two flats for $675958 each. On one he gains 14% while on the other he loses 14%. How much does he gain or lose in the whole transaction?
Choices:
1.96%
3.12%
4.65%
5.12%
Answer: A
Question: James can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
Choices:
415/784
175/256
256/175
263/541
Answer: B
Question: If 10 people contributed a total of $30.00 toward a gift and each of them contributed at least $2.00, then the maximum possible amount any one person could have contributed is
Choices:
$1.25
$12.00
$6.00
$20.00
Answer: B
Question: The speed of a bus increases by 2 kmph after every one hour. If the distance travelled in the first one hour was 35 km, what was the total distance travelled in 12 hours?
Choices:
500
552
560
580
Answer: B
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $25. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
xy/225
225/(xy)
225xy
25xy/9
Answer: B
Question: How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
Choices:
15
32
56
72
Answer: D
Question: The probability that B can shoot a target two out of two times is 0.5. What is the probability that the target will be missed by B immediately after such two shots?
Choices:
0.5
0.75
0.4
0.8
Answer: A
Question: In the x-y plane, the area of the region bounded by the graph of |x+y| + |x-y| = 12 is
Choices:
12
16
1296
24
Answer: C
Question: In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
200
245
320
147
Answer: A
Question: Statements: Government has spoiled many top ranking financial institutions by appointing bureaucrats as Directors of these institutions. Assumptions: 1) Government should appoint Directors of the financial institutes taking into consideration the expertise of the person in the area of finance. 2) The Director of the financial institute should have expertise commensurate with the financial work carried out by the institute.
Choices:
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: D
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
3 sec
4 sec
10 sec
5 sec
Answer: A
Question: At a particular pizza shop, a pizza can be created from any combination of 7 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?
Choices:
35
120
450
1050
Answer: D
Question: If a and b are positive integers such that a/b = 3.98, which of the following must be a divisor of a?
Choices:
197
91
199
42
Answer: C
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
1870 m
050 m
150 m
110 m
Answer: C
Question: 50 is divided into two parts such that the sum of their reciprocals is 1/ 12.Find the two parts.
Choices:
25 and 25
10 and 40
35 and 15
30 and 20
Answer: D
Question: Calculate the amount that an investor needs to be invest to earn $1023 in interest in 24 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 12% compounded semi-annually?
Choices:
3600
3700
3800
3900
Answer: D
Question: here's an easy question of averages, but let's try to see innovative ways of solving this.
A class has 12 boys and x girls. Average score of boys and girls is 80 and 92 respectively. the average of the whole class is 86, what is the value of x?
Choices:
b) 7
c) 8
d) 10
e) 12
Answer: D
Question: Ranjit went to the market with Rs. 100. If he buys 3 pens and 6 pencils he uses up all his money. On the other hand, if he buys 3 pencils and 6 pens he would fall short by 20%. If he wants to buy equal number of pens and pencils, how many pencils can he buy?
Choices:
277
267
100
221
Answer: C
Question: A movie buff buys movies on DVD and on Blu-ray in a ratio of 13:4. If she returns 2 Blu-ray movies, that ratio would change to 7:2. If she buys movies on no other medium, what was the original number of movies purchased?
Choices:
28
77
99
119
Answer: D
Question: On a test, 15% of the students received an A, 60% of the remaining students received a below a B. What percentage of the students received a B?
Choices:
60% of the students received a B.
51% of the students received a B.
66% of the students received a B.
None of these.
Answer: D
Question: John tossed a fair coin 4 times. What is the probability that the coin landed heads up exactly twice?
Choices:
0.25
0.3
0.35
0.4
Answer: A
Question: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
2565
9877
1900
1557
Answer: C
Question: Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections E of the 4 items can Amanda make?
Choices:
12
14
15
60
Answer: D
Question: Which of the following equations is NOT equivalent to 4a^2 = b^2 - 9 ?
Choices:
4a^2 - b^2 = -9
4a^2= (b + 3)(b - 3)
2a = b - 3
a^2 = (b^2-9)/4
Answer: C
Question: A basketball player succeeds with 70% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once?
Choices:
0.964
0.973
0.985
0.992
Answer: B
Question: A car takes 8 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
45Kmph
60Kmph
55Kmph
30Kmph
Answer: A
Question: Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Choices:
540 liters
740 liters
560 liters
580 liters
Answer: A
Question: A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 850 in 4 years. The rate of interest per annum is?
Choices:
4%
5%
6 2/3 %
6 1/4%
Answer: D
Question: There are 133 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
14
Answer: A
Question: L9Q,L36S,P81U,R144W,T225U,?
Choices:
U475Y
V472Z
V324Y
V361X
Answer: C
Question: What is the place value of 7 in the numeral 7259
Choices:
B)2800
C)2900
D)7000
E)3000
Answer: C
Question: Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, 10 is 4?
Choices:
172
182
140
160
Answer: A
Question: A train 150 m long running at 72 kmph crosses a platform in 20 sec. What is the length of the platform?
Choices:
354 m
450 m
350 m
250 m
Answer: D
Question: In a village of 2,700 people, 900 people are over 70 years old and 1200 people are female. It is known that 60 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?
Choices:
5/7
13/15
37/45
79/90
Answer: C
Question: There are 2 sections A and B in a class, consisting of 60 and 70 students respectively. If the average weight of section A is 60kg and that of section B is 80kg, Find the average of the whole class?
Choices:
49.32kg
70.76kg
69.15kg
70.89kg
Answer: B
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
70 Kmph
72 Kmph
75 Kmph
78 Kmph
Answer: B
Question: Henry answered 3/5 of the questions he was given for homework in the first hour, 5/17 of the remaining questions in the second hour and the remaining x questions in the third hour where x is an integer. How many questions was Henry given for homework?
Choices:
(85/12)*x
(85/24)*x
(85/36)*x
(85/48)*x
Answer: B
Question: If the population of a certain country increases at the rate of 10 person every 60 seconds, by how many persons does the population increase in 1 hour?
Choices:
200
600
800
1000
Answer: B
Question: 252 can be expressed as a product of prime as
Choices:
2 x 2 x 3 x 3 x 7
3 x 3 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7
None
Answer: A
Question: In a T.V. factory, an average of 62 TVs are produced per day for the fist 25 days of the months. A few workers fell ill for the next five days reducing the daily avg for the month to 58 sets/day . The average production per day for day last 5 days is ?
Choices:
38
48
50
52
Answer: A
Question: There are three departments having students 70,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
Choices:
74
75
76
77
Answer: C
Question: The cost of 16 apples and 8 mangos is $352 and the cost of 4 apples and 4 mangos is $96. Find the cost of each apple?
Choices:
20
30
35
28
Answer: A
Question: If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers i
Choices:
3 : 4
3 : 20
20 : 3
None
Answer: B
Question: Population of a city in 20004 was 1000000. If in 2005 there isan increment of 10% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Choices:
979923
980241
1036750
1083875
Answer: C
Question: List all the even integers between 1 and 11. Find the lowest positive interger that can be divided by each of those numbers.
Choices:
120
231
183
123
Answer: A
Question: jerry and Michelle play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. Michelle plays first, giving jerry a third of her cards. jerry plays next, and Michelle follows. Then the game ends. jerry ended up with 14 more cards than Michelle. How many cards did each player have originally?
Choices:
27
34
36
38
Answer: A
Question: Using all the letters of the word "ANOTHER", how many words can be formed, which begin with A and end with R?
Choices:
90
110
120
100
Answer: C
Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. What is the length of the garden?
Choices:
24
26
28
30
Answer: A
Question: If (1+a)b=b, which of the following must be true?
Choices:
a=0 or b=0
a=1 or b=1
a=-1 or b=-1
a=0 or b=1
Answer: A
Question: Each month a retailer sells 100 identical items. On each item he makes a profit of $30 that constitutes 16% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
Choices:
157
221
223
226
Answer: A
Question: A bag has 1, 3, 5, 7, 9,11 and 13 cm sticks. Find the probability that they they will form a triangle if 3
sticks are drawn?
Choices:
13 / 35
1 / 2
5 / 6
5 / 5
Answer: A
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
26
87
26
75
Answer: D
Question: If the probability that the NY Giants win the Super Bowl is 1/12 and the probability that the NY Mets win the World Series is 1/15, what is the probability that either the NY Giants win the Super Bowl or the NY Mets win the World Series (but not both)?
Choices:
5/36
7/48
11/72
17/120
Answer: A
Question: If n is a positive integer and n^3 is a multiple of 550, what is the least possible value of n?
Choices:
27
81
110
125
Answer: C
Question: Two containers of milk contain mixtures of water and milk in ratio 5:4 and 7:9. In what ratio they should be mixed so that mixture is of 6:6 ratio?
Choices:
7:5
9:8
8:9
8:7
Answer: B
Question: A team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. If the team won a total of 70 percent of its games that season, what was the total number of games that the team played?
Choices:
90
120
150
180
Answer: D
Question: If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 50 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
Choices:
100
140
150
160
Answer: A
Question: Angela’s grade was in the 90th percentile out of 80 grades in her class. In another class of 100 students there were 19 grades higher than Angela’s. If nobody had Angela’s grade, then Angela was what percentile of the two classes combined?
Choices:
80
81
85
92
Answer: C
Question: Find the number of square tiles to cover the floor of a room measuring 4.25 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
476
472
471
510
Answer: D
Question: Jeremy needs to choose three flowers for his mother from a group of 10 roses, six of which are red and four of which are white. What is the ratio of the number of ways in which he can select only red roses to the number of ways in which he can select only white roses?
Choices:
10:1
5:1
3:2
1:5
Answer: B
Question: Yane and Thomas are among the 8 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 8 people if at least one of either Yane or Thomas is to be selected?
Choices:
46
55
63
70
Answer: B
Question: The length of a rectangulat plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Choices:
50
200
120
None
Answer: B
Question: If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Choices:
70%
60%
62%
65%
Answer: B
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 20.65%. What would have been the percentage of profit earned if no discount was offered?
Choices:
27%
30%
56%
73%
Answer: A
Question: At a dinner party 4 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?
Choices:
6
24
32
120
Answer: A
Question: Anna worked for h hours each day for d consecutive days. If she earns $3.50 per hour, what is the total amount she earned?
Choices:
3.50 + d + h
3.50 + dh
3.50h + d
3.50dh
Answer: D
Question: The probability of a team winning a match given Matt is playing the match is 0.65. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
0.7
0.8571
0.7531
0.8387
Answer: D
Question: A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on thediscounted price. If a staff member buysthe dress what will she have to pay in terms of X?
Choices:
0.560X
0.765X
0.608X
0.895X
Answer: B
Question: A password consists of two letters of the alphabet followed by three digits chosen from 0 to 9. Repeats are allowed. How many different possible passwords are there?
Choices:
650,000
676,000
1,757,600
757,600
Answer: B
Question: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer Q that must divide n is?
Choices:
12
24
36
48
Answer: A
Question: If 0 < x ≤ 6, then which one of the following is the maximum value of (x – 1)^2 + x ?
Choices:
–1
0
31
2
Answer: C
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
15 sec
48 sec
44 sec
21 sec
Answer: B
Question: Machines P and Q are two different machines that make items in a factory. When Machine P works alone, it covers 15 items in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 15 items in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 15item?
Choices:
n
15n/225-mn
m+n
m-n
Answer: B
Question: There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 9 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?
Choices:
32
36
48
67
Answer: D
Question: A and B started business in partnership investing Rs. 18,000 and Rs. 16,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
B)7389
C)7379
D)7453
E)7653
Answer: D
Question: Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 9% sugar. What percentage of the gallon is dye?
Choices:
6.5
7.2
8
24
Answer: B
Question: City A to city B, Michael drove for 1 hour at 80 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
57.5
58.2
60
62
Answer: C
Question: If in a race of 80m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:
Choices:
16m
11m
10m
15m
Answer: A
Question: Kelsey travelled for 10 hours. He covered the first half of the distance at 25 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by Kelsey?
Choices:
400 km
670 km
360 km
234 km
Answer: A
Question: In how many ways can 6 boys and 3 girls sit around a table in such a way that no two girls sit together?
Choices:
14000
14400
18000
19000
Answer: B
Question: John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $74000, what is their combined tax rate?
Choices:
34.4%
35%
35.6%
36.4%
Answer: C
Question: If two integers x,y (x>y) are selected from -3 to 4 (inclusive), how many cases are there?
Choices:
22
24
26
28
Answer: D
Question: How many integers between 100 and 400 are there such that their unit digit is odd?
Choices:
120
200
50
150
Answer: D
Question: A ball is bought for Rs.400 and sold at a gain of 20% find its selling price
Choices:
Rs.420/-
Rs.480/-
Rs.500/-
Rs.520/-
Answer: B
Question: Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
Choices:
2.5 kg
2.4 kg
None of these
Cannot be determined
Answer: A
Question: If "WATER" is given a code of 67, then what is the difference between "RIVER" and "LAKE"?
Choices:
29
43
42
30
Answer: B
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 ) is an odd negative integer
Choices:
II only
I
I and III
II and III
Answer: B
Question: Find large number from below question The difference of two numbers is 1200. On dividing the larger number by the smaller, we get 5 as quotient and the 4 as remainder
Choices:
1345
1456
1567
1499
Answer: D
Question: Find 62976 ÷ ? = 123
Choices:
502
512
522
None
Answer: B
Question: An investor bought 200 shares of stock in ABCD company in 1990. By 1992, the investment was worth only 2/3 of its original value. By 1995, the 200 shares were worth only 1/3 of their value in 1990. By what percent did the value of the investment drop from 1992 to 1995?
Choices:
25%
33 1/3%
50%
66 2/3%
Answer: C
Question: The numerator of a fraction is 1 less than twice the denominator. If the numerator and denominator are both increased by 1, the fraction becomes 4/5. Find the fraction?
Choices:
B)3/5
C)7/4
D)5/9
of these
Answer: B
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 42, the how old is B?
Choices:
16
8
11
10
Answer: A
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68 Kmph
54 Kmph
15 Kmph
12 Kmph
Answer: A
Question: Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and five times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket?
Choices:
10
18
24
21
Answer: C
Question: A train running at the speed of 40 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
180 metres
324 metres
150 metres
100 meters
Answer: D
Question: To reach her destination, Jeanette must drive 90 miles. If she drives 5 miles every 9 minutes, how much time will it take her to reach her destination?
Choices:
2 hours and 42 minutes
2 hours and 10 minutes
2 hours and 12 minutes
2 hours and 15 minutes
Answer: A
Question: For the positive integers x, x + 2, x + 4, x + 7, and x + 37, the mean is how much greater than the median?
Choices:
6
2
4
7
Answer: A
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
3/5
3/7
4/9
Answer: A
Question: In how many different ways can the letters of the word ‘PROBE’ be arranged ?
Choices:
120
150
110
160
Answer: A
Question: Statement : Company X has marketed the product. Go ahead, purchase it if price and quality are your considerations.
Conclusions :
I. The product must be good in quality.
II. The price of product must be reasonable.
Choices:
II only
I and II only
I and III only
II and III only
Answer: B
Question: If Nick gains 10 pounds, he will weigh 50% more than his brother. Currently, their combined weight is 340 pounds. What is Nick's current weight?
Choices:
160
170
190
200
Answer: D
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Choices:
877
100
286
181
Answer: B
Question: A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 250 more than A :
Choices:
7250
2767
1998
2771
Answer: A
Question: How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 24 percent alcohol?
Choices:
5
20/3
100/19
39/4
Answer: C
Question: Area of four walls of a room is 99 m2. The length and breadth of the room are 7.5 m and 3.5m respectively. The height of the room is:
Choices:
3.5m
1.5m
4.5m
5.5m
Answer: C
Question: 3 OUT OF 2500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
Choices:
1/8
1/45
2/45
NONE OF THESE
Answer: A
Question: How many multiples of 5 are there between 1 and 100 (both are inclusive)?
Choices:
20.8
2.3
6.7
8.2
Answer: A
Question: A truck covers the distance of 550 meters in 1 minute where as a bus covers a distance of 33kms in 45 minutes.Find the ratio of their speed?
Choices:
4:3
5:2
3:4
2:2
Answer: C
Question: The area of a circular place is 17.56 hectares. Find the cost of fencing it at the rate of Rs. 3/meter approximately.
Choices:
Rs. 4350
Rs. 4457
Rs. 4670
Rs. 4756
Answer: B
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
3000
2997
2678
2682
Answer: A
Question: As x increases from 111 to 112, which of the following increases? I) x−1/x II) 17−1/x III) (17+x)/x
Choices:
I,II only
III only
I only
I,III only
Answer: A
Question: If the probability T of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period?
Choices:
2/25
5/16
8/25
3/4
Answer: B
Question: a father said to his son ,i was as old as your are at the present at the time of your birth. if the father's age is 38 years now. the son's age five years back was:
Choices:
14
33
38
12
Answer: A
Question: On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.15 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Choices:
0.386
0.417
0.657
0.9
Answer: A
Question: Three students appear at an examination of Mathematics. The probability of their success are 2/3, 1/4, 1/5 respectively. Find the probability of success of at least two.
Choices:
17/60
3/40
13/50
14/60
Answer: A
Question: A train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
230
77
62
52
Answer: A
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1:96
1:86
1:94
2:96
Answer: A
Question: Two persons starting from the same place walk at a rate of 4kmph and 5.5kmph respectively. What time will they take to be 9km apart, if they walk in the same direction?
Choices:
6 hrs
25 hrs
12 hrs
14 hrs
Answer: A
Question: If 4a^4 − 41a^2 + 100 = 0, then what is the sum of the two greatest possible values of a ?
Choices:
9/2
7
41/4
25
Answer: A
Question: Only a single rail track exists between stations A and B on a railway line. One hour after the north bound super fast train N leaves station A for station B, a south-bound passenger train S reaches
station A from station B. The speed of the super fast train is twice that of a normal express train E, while the speed of a passenger train S is half that of E. On a particular day, N leaves for B from A, 20 min behind the normal schedule. In order to maintain the schedule, both N and S increased their speeds. If the super fast train doubles its speed, what should be the ratio (approximately) of the speeds of passenger train to that of the super fast train so that the passenger train S reaches exactly at the scheduled time at A on that day?
Choices:
1 : 4
1 : 5
1 : 6
None of these
Answer: C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 52, the dividend is:
Choices:
5334
6812
7356
7400
Answer: B
Question: P, Q, R subscribe Rs. 50,000 for a business. P subscribes Rs. 4000 more than Q and Q Rs. 5000 more than R. Out of a total profit of Rs. 25,000, what will be P's share?
Choices:
10,502
10,500
10,501
10,506
Answer: B
Question: Sravan and Bhavan began business with Rs.16000 and Rs.20000 after 8 months, Sravan advances Rs.4000 more and Bhavan withdraws Rs.4000. At the end of two years, their profits amounted to Rs.5535 find the share of Sravan.
Choices:
2870
3000
2800
2825
Answer: A
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Choices:
11.6
12.6
13.6
14.6
Answer: B
Question: A certain school supplies store arranges pencils on display such that each of the six different colors of pencils, yellow, orange, green, red, blue, and purple are consecutive in a repeating pattern. If seven consecutively displayed pencils are purchased, what is the probability that two of the pencils
are purple?
Choices:
1/6
1/20
2/3
2/5
Answer: A
Question: From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 20 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009?
Choices:
90
95
100
108
Answer: D
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $20.95. What is the greatest number of hot dogs you can buy at this store with $300?
Choices:
3,100
3,108
3,540
3,256
Answer: C
Question: if A and B both work for 6 hrs,B and C work for 7.5 hrs,C and A work for 10 hrs .
i dont remember but ......its arrange in increasing order by their work
Choices:
cba
abc
bac
none of these
Answer: C
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Choices:
Rs.1599
Rs.7290
Rs.15000
Rs.72821
Answer: C
Question: If x is a positive integer with fewer than 3 digits, what is the probability Q that x*(x + 1) is a multiple of either 4 or 5?
Choices:
2/25
8/99
49/100
86/99
Answer: D
Question: A can do piece of work in 15 days and B in 20 days they finished the work with the assistance of c in 5 days and got Rs.45 as their wages find the share for each in wages?
Choices:
15,11,13
15,11.25,18.75
11,15.25,18.75
None of these
Answer: B
Question: The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 6400 meters per second, what was the speed, in meters per second, when the stopwatch was started?
Choices:
25/2
25/8
25/16
25/32
Answer: A
Question: If v and t are integers and v^2 – t^2 is an odd integer, which of the following must be an even integer?
I. v + t + 2
II. v^2 + 2vt + t^2
III. v^2 + t^2
Choices:
None
II only
III only
I, II, and III
Answer: A
Question: If Jesse flips a coin seven times in a row, what is the probability that the result will be heads at all the times?
Choices:
1/128
35/128
1/16
1/4
Answer: A
Question: A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1251. Find the number to be multiplied.
Choices:
132
134
136
139
Answer: D
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
5%
2%
1%
Answer: A
Question: How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
Choices:
17280
720
80
None of thsee
Answer: A
Question: 15 + sqrt(- 6 + 8Ã—5Ã·4) =?
Choices:
31
33
34
35
Answer: A
Question: How many of the positive factors of 63 , 84 and how many common factors are there in numbers?
Choices:
4
3
5
1
Answer: A
Question: A numberais squared and then multiplied by negative 3. The result of this operation R is equal to three times the sum of three timesaand two. What is one possible value ofa?
Choices:
-2
1
2
3
Answer: A
Question: Let the number which when multiplied by 13 is increased by 180.
Choices:
20
15
28
30
Answer: B
Question: 5 persons a, b, c, d, e are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?
Choices:
36
48
72
144
Answer: A
Question: A rower whose speed is 4 km/hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 2 km/hr. What is the rower's average speed (in km/hr) for the total journey?
Choices:
4
9
3
2
Answer: C
Question: What is the probability of getting exactly 2 heads in a single throw of four fair coins?
Choices:
3/4
3/8
3/16
5/16
Answer: B
Question: The sale price sarees listed for Rs.750 after successive discount is 20% and 15% is?
Choices:
570
342
680
230
Answer: A
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
49
25
18
11
Answer: A
Question: How many odd factors does 520 have?
Choices:
4
5
6
8
Answer: A
Question: Population of a city in 20004 was 1300000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Choices:
545454
465785
456573
2818075/2
Answer: D
Question: Find the area of a parallelogram with base 32 cm and height 14 cm?
Choices:
384 cm2
430 cm2
128 cm2
448 cm2
Answer: D
Question: The probability of Sam passing the exam is 1/5. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
Choices:
1/2.
5/6.
2/3.
2/5
Answer: B
Question: A shipment of 8 television sets contains 2 black-and-white sets and 4 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
Choices:
1/4
5/14
11/14
13/28
Answer: C
Question: An office supply store stocks three sizes of notebooks, each in five colors: blue, green, yellow, red, or pink. The store packs the notebooks in packages that contain either 3 notebooks of the same size and the same color or 3 notebooks of the same size and of 3 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:
30
42
45
60
Answer: C
Question: A train 175 m long pass a telegraph pole in 5 seconds. Find the speed of the train
Choices:
68.4 km/hr
72 km/hr
126 km/hr
None
Answer: C
Question: A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?
Choices:
1 years
15 years
39 years
39 years
Answer: B
Question: Set F consists of all the prime numbers between 10 and 25. What is the range of set F?
Choices:
12
16.6
17
23
Answer: A
Question: If a mixture is 5⁄9 alcohol by volume and 4⁄9 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
Choices:
3/4
5/4
6/4
7/4
Answer: B
Question: when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 12
Choices:
3
4
5
12
Answer: C
Question: The mean of set L does not exceed mean of any subset of set L. Which of the following must be true about set L?
I. Set L contains only one element
II. All elements in set L are equal
III. The median of set L equals the mean of set L
Choices:
II only
III only
II and III only
I, II, and III
Answer: C
Question: The ratio of number of students studying Arts, Commerce and Science in a College is 7 : 5 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
Choices:
3 : 10 : 10
4 : 8 : 5
21 : 35 : 50
None of these
Answer: C
Question: xy=1 then what is (4^(x+y)^2) / (4^(x-y)^2)
Choices:
4
8
256
32
Answer: C
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:2
1:1
1:9
3:2
Answer: A
Question: A researcher computed the mean, the median, and the standard deviation Q for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
Choices:
The median only
The standard deviation only
The mean and the median
The mean and the standard deviation
Answer: C
Question: If X = Y/Z+1, -1 < Z < 0 and 2 < Y, which of the following is correct?
Choices:
1 < X <2
-4 < X < 0
0 < X <-4
X < -20
Answer: A
Question: If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region?
Choices:
30/√π
20
twenty five (25)
30
Answer: C
Question: Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fourth widget, starting with the fourth, and Steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?
Choices:
52
53
55
56
Answer: B
Question: How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
36 sec
13 sec
19 sec
12 sec
Answer: A
Question: In a series of football matches, the probability that Team P wins a match against Team Q is 1/3 and the probability that the match ends in a draw is 1/5. If the two teams play five matches, what is the probability that all five matches end in a draw?
Choices:
1/2225
1/3125
1/4225
1/5425
Answer: B
Question: A man gets a simple interest of Rs.600 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.307.5
Rs.5062.50
None of these.
Answer: B
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
828 ways
627 ways
108 ways
622 ways
Answer: C
Question: A factory produces 5500 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choices:
1375 toys
3375 toys
4375 toys
5375 toys
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
40 kmph
27 kmph
28 kmph
22 kmph
Answer: A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.?
Choices:
98
12
27
28
Answer: B
Question: The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer
Choices:
24
46
48
60
Answer: B
Question: Solving a linear equation with several occurrences of the variable, solve for w. Simplify answer as much as possible.
(7w + 6)/6 + (9w +8)/2 = 22
Choices:
2
3
4
5
Answer: B
Question: What is the square root of 81, divided by 3?
Choices:
36
122
3
1
Answer: C
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 56 more. What was his original selling price?
Choices:
$660
$700
$1100
$880
Answer: D
Question: Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 222 runs?
Choices:
6.25
7.25
7.5
4.75
Answer: D
Question: Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 48 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
Choices:
132 sec
157.5 sec
252 sec
None
Answer: B
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Choices:
20000
28778
28788
18881
Answer: A
Question: If a real number x is chosen at random in the interval [0,5] and a real number y is chosen at random in the interval [0,7], what is the probability that x < y?
Choices:
2/3
9/14
4/5
7/8
Answer: B
Question: Three bottles whose capacities are as 5 : 3 : 2 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of bottles are as 3 : 2, 2 : 1 and 3 : 1 respectively. Find the percentage of water in the new mixture obtained when 1/3rd of first, 1/2 of second and 2/3rd of the third bottle is taken out and mixed together
Choices:
50%
16.66%
33.33%
36.33%
Answer: C
Question: The total of a company's assets in 1994 was 100% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994?
Choices:
7N
10N
15N
20N
Answer: B
Question: If A and B get profits of Rs.5,000 and Rs.2,000 respectively at the end of year then ratio of their investments are
Choices:
1:4
5:2
2:3
2:5
Answer: B
Question: If the cost price of 44 chocolates is equal to the selling price of 24 chocolates, the gain percent is :
Choices:
83.33%
80%
83.39%
84.33%
Answer: A
Question: If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor A of 2x and 3y?
Choices:
A=Cannot be determined
2
5
6
Answer: A