antoine-444/aqua_rat_dataset huggingface dataset:
Question: If P/2 = Q/3 = R/4 then find P:Q:R
Choices:
2:5:7
6:4:9
5:7:2
2:3:4
Answer: D
Question: A train 125 m long passes a man, running at 3 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
60
79
48
Answer: D
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?
Choices:
500
288
122
101
Answer: A
Question: If a continuous cable 10 meters long was marked off at intervals of 1/5 meter and also 1/8 meter, and then if the cable were cut at each mark, how many different size length of cable would result?
Choices:
2
3
4
5
Answer: D
Question: X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
Choices:
10
99
87
55
Answer: A
Question: If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Choices:
88 kg
72 kg
99 kg
66 kg
Answer: B
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
17 1/7 days
23 2/7 days
16 4/11 days
none of these
Answer: A
Question: The volume of the sphere Q is (37/64)% less than the volume of sphere P and the volume of sphere R is (19/27)% less than that of sphere Q. By what is the surface area of sphere R less than the surface area of sphere P?
Choices:
75%
67.5%
87.5%
None of these
Answer: A
Question: Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?
Choices:
40
99
77
12
Answer: A
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 10 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
1200
1680
1100
1300
Answer: A
Question: Jose completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choices:
6 days
8 days
10 days
12 days
Answer: B
Question: The equation of line m is y = 4/3*x - 100. What is the smallest possible distance in the xy-plane from the point with coordinates (0, 0) to any point on line m?
Choices:
50
60
75
100
Answer: B
Question: A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 15 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Choices:
$204
$220
$230
$240
Answer: A
Question: The average salary/head of allthe workers in a workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workers in the work-shop is ?
Choices:
20
22
24
26
Answer: B
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 11. What is the last numbers?
Choices:
4
6
5
7
Answer: A
Question: A certain student has received the following test grades: 94%, 83%, 71%, 82%, and 88%. If the highest test grade is increased by 5 percentage points, which of the following statements best describes the change in the mean and the median of the test grades?
Choices:
The mean will remain unchanged but the median will increase.
The mean will increase but the median will remain unchanged.
The mean and the median will increase by the same amount.
The mean and the median will increase by different amounts.
Answer: B
Question: How many different 5 digit numbers can be formed from the number 28579 by re-arranging its digits so that the odd digits occupy even position
Choices:
12
7
3
1
Answer: A
Question: By selling 32 plums in a dollar, a man loses 40%. How many plums must he sell in a dollar to gain 20% profit?
Choices:
16
20
25
28
Answer: A
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 6 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
25
30
40
50
Answer: B
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
60
61
62
63
Answer: D
Question: There are 24 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Choices:
820
650
870
900
Answer: B
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $50. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
9xy/40
40xy/9
450xy
450/(xy)
Answer: D
Question: The local recycling plant had a contract requiring anyone who obtained recycled bottles for storage for them, to bring them back to be recycled again. The plant could make one new bottle from every seven bottles returned. One week, on Monday, they got 343 bottles to recycle. Assuming that everybody brought back all the empties, how many could they eventually remake from the 343?
Choices:
54
55
56
57
Answer: D
Question: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Choices:
a(a + b) + b(a + b)
(a2 – b2) + 2b(b + a)
(a – b)b + (a + b)2b
(a + b)2 – 2a(a – b) + a(2a – 2b)
Answer: C
Question: What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?
Choices:
4/9 sq units.
8/9 sq units.
7/9 sq units.
6/9 sq units.
Answer: B
Question: John tossed a fair coin 6 times. What is the probability that the coin landed heads up exactly twice?
Choices:
0.094
0.194
0.25
0.294
Answer: A
Question: Jack and Bill are randomly picking students to play kick-ball on the playground, one at a time (without return), from a group of ten students. Only five of the students among the twenty students are athletic. Jack picks first, then Bill, and so on.... What is the probability that Jack will get all of the athletes? (Answer in lowest terms).
Choices:
7/273
1/2
1/75
1/252
Answer: D
Question: If -3x > 6, which of the following must be true?
Choices:
x < -2
x > 3
x > -2
x > 0
Answer: A
Question: A 3-letter code word consists of letters B, and C. If the code includes all the two letters, how many such codes are possible?
Choices:
48
36
24
6
Answer: D
Question: Lucy deposited $62500 in an investment fund that provided 12 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
Choices:
12
3
18
6.1
Answer: C
Question: The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 8 hours. The number of hours that Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choices:
20
11
14
6
Answer: B
Question: If the capacity of a cylindrical tank is 1848 m3 and the diameter of its base is 14 m, then find the depth of the tank.
Choices:
11
12
13
None of them
Answer: B
Question: The equation q = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at q = -5, the equation for l is
Choices:
- 3x - 11 = 0
+ y - 16.5 = 0
- y - 7 = 0
+ y + 13.5 = 0
Answer: B
Question: Subtract. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
4/5 - 1/5=
Choices:
2/5
3/5
4/5
5/5
Answer: B
Question: What are the last two digits of 63*35*37*82*71*41?
Choices:
30
40
70
80
Answer: C
Question: Two trains start simultaneously from opposite ends of a 180-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 180-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 180-km trip in 4 hours. How many kilometers had Train X traveled when it met Train Y?
Choices:
74
76
78
80
Answer: D
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
Rs.3944
Rs.3988
Rs.3949
Rs.3923
Answer: A
Question: Find the product of the local value and absolute value of 4 in 20468?
Choices:
1100
1200
1340
1600
Answer: D
Question: From a group of 4 boys and 4 girls, 4 children are to be randomly selected. What is the probability that 2 boys and 2 girls will be selected?
Choices:
14/31
16/33
18/35
20/37
Answer: C
Question: From a group of 16 astronauts that includes 7 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?
Choices:
252
272
292
285
Answer: A
Question: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 80 days, then together ,all will finish the work in :
Choices:
16 days
15 days
20 days
30 days
Answer: A
Question: Ramu mixed 40% kerosene solution to 25% kerosene solution hence obtaining 30% kerosene solution. In what ratio were the both solutions mixed?
Choices:
2:2
2:1
2:8
2:5
Answer: B
Question: When p is divided by 9, the remainder is 3. All of the following are possible values of p, except for which of the following?
Choices:
30
48
56
66
Answer: C
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 26 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Choices:
9
10
14
12
Answer: C
Question: Factor: 4x4y3 â€“ 64y3
Choices:
A) 4y3(x2 + 4)(x + 2)(x -2)
C) 3y3(x2 + 4)(x + 2)(x -3)
D) 3y3(x2 + 4)(x + 3)(x -2)
E) 3y3(x2 + 4)(x + 2)(x -4)
Answer: A
Question: WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 2/3 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
Choices:
4/15
13/40
7/20
13/22
Answer: A
Question: A little girl is numbering her collection of butterflies by placing single-digit stickers under each specimen. If the girl has 330 butterflies, how many stickers does she need? (The numbers are consecutive and the number of the first butterfly is 1).
Choices:
882
1,001
1,003
1,346
Answer: A
Question: On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was
Choices:
30 km/h
5 km/h
20 km/h
None of these
Answer: C
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 24km/h, what is the circumference of the tire?
Choices:
1 meters
8 meters
5 meters
3 meters
Answer: A
Question: What is the remainder when 3^33 is divided by 5?
Choices:
1
2
3
4
Answer: C
Question: Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
Choices:
difference=24
28
30
32
Answer: A
Question: A man in a train notices that he can count 21 telephone posts in one minute.If they are known to be 50 meters apart , then at what speed is the train travelling ?
Choices:
57 km/hr
60 km/hr
63 km/hr
None of these
Answer: B
Question: Prove the theorem, due to Kraitchik, asserting that 13|2^70+3^70
Choices:
2
1
2^70+3^70 == 0 (mod 13), or 13|2^70+3^70
1
Answer: C
Question: If selling price is doubled, the profit triples. Find the profit percent
Choices:
100%
126%
276%
262%
Answer: A
Question: 10 one question was x*y^2*z<0 then
Choices:
xyz<0
xz<0
xy<0
None of these
Answer: B
Question: How long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length?
Choices:
82.5
55
18
12
Answer: A
Question: Which of the following is an irrational numbers?
Choices:
√25
√45
√64
√100
Answer: B
Question: A bakery opened yesterday with its daily supply of 50 dozen rolls. Half of the rolls were sold by noon, and 84 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?
Choices:
4
3
2
1
Answer: A
Question: A certain fruit stand sold apples for $0.70 each and cherry for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Choices:
11
13
14
15
Answer: A
Question: Three flats of the same type were advertised to be let in a housing complex. Three men made separate applications for a flat. What is the probability that each of them applied for the same house.
Choices:
1/5
1/6
1/3
1/9
Answer: C
Question: In one hour a boat goes 13 km long the stream and 9 km against the stream.The speed of the boat in still water is?
Choices:
18
16
15
11
Answer: D
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?
Choices:
112 sq.cm
116 sq.cm
120 sq.cm
122 sq.cm
Answer: C
Question: Today is Thursday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Choices:
MONDAY
TUESDAY
WEDNESDAY
FRIDAY
Answer: A
Question: Mapy bought shares for a total value of $1000. Next day, the price of shares is reduced by 10%. With the same $1000, he could now buy 10 more shares. Which of the following is closest to the original price per share?
Choices:
$11
$12
$13
$14
Answer: A
Question: Students are asked to create a record of the recital of a poem for English class in groups of three. The tape length should be 1,200 seconds. The students assigned different stanzas of the poem to each member, and the individual records were compiled. If member three took 3 times longer than member two, and member two took equal time as member one, how many seconds did member three record for his/her reading?
Choices:
720
1200
40
500
Answer: A
Question: What is the missing number in this series?
8 2 14 6 11 ? 14 6 18 12
Choices:
2
3
4
5
Answer: D
Question: There are 7 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
Choices:
16
28
42
64
Answer: C
Question: The percentage increase in the area of rectangle , if each of its side is increased by 10% is?
Choices:
21%
25%
40%
50%
Answer: A
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Choices:
37
22
69
21
Answer: C
Question: If 50% of (x-y) = 30% of (x+y), then what percent of x is y?
Choices:
30%
25%
15%
50%
Answer: B
Question: The average of five results is 46 and that of the first four is 45. The fifth result is?
Choices:
02
78
50
18
Answer: C
Question: The difference between two numbers 1365.When the larger
number is divided by the smaller one the quotient is 6 and
the remainder is 15.The smaller number is?
Choices:
270
230
130
420
Answer: A
Question: Find the perimeter and area of a square of side 11 cm.
Choices:
81 cm²
121cm²
144 cm²
151 cm²
Answer: B
Question: Tim and Stacy need to select seats in a row of chairs that are numbered in order from 1 to 5. If Tim cannot sit in an even-numbered seat and Stacy cannot sit in an odd-numbered seat, how many arrangements are possible if the two cannot sit adjacent to each other and Tim and Stacy are the only people to be seated?
Choices:
2
3
5
20
Answer: A
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 36 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
Choices:
32%
68%
84%
92%
Answer: B
Question: A can do a certain job in 14 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Choices:
8 3/4 days
5 days
9 days
None of them
Answer: A
Question: The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 6 meters wide at the bottom and the area of cross-section is 630 square meters, what is the depth of the channel (in meters)?
Choices:
60
70
80
90
Answer: B
Question: Set J consists of 18 consecutive even numbers. If the smallest term in the set is -12, what is the range of the positive integers in set J?
Choices:
18
20
22
24
Answer: B
Question: In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 20 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
Choices:
5%
8%
10%
12%
Answer: D
Question: The variables a and b are non-zero integers Q. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
Choices:
c is halved.
c is doubled.
c is multiplied by 4.
c is multiplied by 16.
Answer: D
Question: Abbey has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
Choices:
32
29
28
27
Answer: A
Question: In the xy-coordinate system, what is the slope of the line that goes through the point (1, 1) and is equidistant from the two points P = (3, 7) and Q = (9, 11)?
Choices:
0.625
0.75
0.875
1.0
Answer: A
Question: A man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour. The woman stops to wait for the man 2 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?
Choices:
2
3
5
4
Answer: D
Question: A tank has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 5 times. Find how much spirit is left in the resulting mixture finally?
Choices:
20(346/625) gallons
6.5 gallons
6.25 gallons
None of these
Answer: A
Question: A club with a total membership of 30 has formed 3 committees, M, S and R, which have 8, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
Choices:
7
8
10
12
Answer: C
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 78 minutes. The waste pipe can empty the full cistern in?
Choices:
7 min
5 min
9 min
6.5 min
Answer: D
Question: N and M are each 3-digit integers. Each of the numbers 2, 3,4,5, 6, and 7 is a digit of either N or M. What is the smallest possible positive difference between N and M?
Choices:
49
58
113
131
Answer: A
Question: A department of eleven people - five men and six women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
Choices:
270
300
320
350
Answer: D
Question: A baseball team won 45 percent of the first 80 games it played. How many of the remaining 85 games will the team have to win in order to have won exactly 40 percent of all the games it played?
Choices:
30
50
55
81
Answer: A
Question: A person decided to build a house in 100 days. He employed 100 men in the beginning and 100 more after 20 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
Choices:
80
70
60
50
Answer: C
Question: Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 6936, how much amount did Raghu invest ?
Choices:
2887
2000
1129
2400
Answer: D
Question: The CI on a certain sum for 2yrs at 10 percent/annum is Rs. 525. The SI on the same sum for double the time at 1/2 the rate % per annum is:
Choices:
Rs. 300
Rs. 400
Rs. 500
Rs. 550
Answer: C
Question: The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.6
4.1
4.2
4.3
Answer: A
Question: The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 18. Find the sum :
Choices:
7500
5000
7200
None of these
Answer: C
Question: Two numbers have a H.C.F of 20 and a product of two numbers is 2560. Find the L.C.M of the two numbers?
Choices:
150
160
128
180
Answer: C
Question: Out of 10 persons working on a project, 5 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
B)5/12
C)5/1
D)1/12
E)5/3
Answer: C
Question: If the probability W 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: If a man lost 5% by selling oranges at the rate of 8 a rupee at how many a rupee must he sell them to gain 52%?
Choices:
5
7
4
2
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/36
23/32
23/31
Answer: A
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 10.00 a.m. ?
Choices:
5
9
2
10
Answer: D
Question: at a time A,do 20% less work than B.if A do any work in 15/2 hour,then in how many hour B will finish work?
Choices:
11/2 hour
6 hour
13/2 hour
8 hour
Answer: B
Question: John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half?
Choices:
8 minutes.
12 minutes.
6 minutes.
17 minutes.
Answer: C
Question: A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
Choices:
450
600
750
None of these
Answer: B
Question: A tradesman sold an article at a loss of 20%. If the selling price had been increased by $100, there would have been a gain of 5%. What was the cost price of the article ?
Choices:
$200
$300
$400
$500
Answer: C
Question: A train 460 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
87
48
21
14
Answer: B
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 10 hours a day, the number of men required?
Choices:
12days
13days
11days
9days
Answer: A
Question: A train which has 400 m long, is running 50 kmph. In what time will it cross a person moving at 14 kmph in same direction ?
Choices:
40 sec
33 sec
42 sec
41 sec
Answer: A
Question: The average mark of a class of twenty students is 64. If three students whose marks are 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class.
Choices:
74
57
70
72
Answer: C
Question: The salary of a person was reduced by 10%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
9.68%
11.11%
8.62%
12.13%
Answer: B
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Choices:
158799
564323
344567
220030
Answer: D
Question: If you write down all the numbers from 1 to 100, then how many times do you write 2 ?
Choices:
B)18
C)20
D)21
E)22
Answer: B
Question: I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?
Choices:
1/1028
1/1000
1/1287
1/1289
Answer: B
Question: In a 200 meters race, A beats B by 20 meters, while in a 100 meters race, B betas C by 5 meters. A beats C in a kilometer race by
Choices:
225 meters
205 meters
145 meters
None
Answer: C
Question: A boat goes 100 km downstream in 10 hours, and 60 m upstream in 15 hours. The speed of the stream is?
Choices:
3
22 1/2
22 1/1
22 1/3
Answer: A
Question: If the price of 357 apples is Rs.1517.25, what will be the approximate price of 49 dozens of such apples?
Choices:
Rs. 2500
Rs. 2200
Rs. 1400
Rs. 1600
Answer: A
Question: Two cards are drawn together from a pack of 52 cards. The probability that one is a club and other is a diamond, is:
Choices:
47/100
3/20
13/102
None of these
Answer: C
Question: Which of the following equations describes a line that is perpendicular to y = x/2 + 5?
Choices:
y = −3 − 2x
y = 5x
y = 5x - 1
y = 1/x + 5
Answer: A
Question: If b < 2 and 2x - 2b = 0, which of the following must be true?
Choices:
x < 2
x = 3
x < 3
D. x > 3
Answer: A
Question: By investing in 16 % stock at 64, one earns Rs. 1500. The investment made is:
Choices:
7667
4445
4566
3344
Answer: B
Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
2 1/8
2 1/5
2 1/3
2 1/2
Answer: D
Question: In a forest 140 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choices:
750
1,250
1,400
2,500
Answer: C
Question: To create paint with a certain shade of gray, one must combine 2.3 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Choices:
152.1
347.1
694.4
705.6
Answer: A
Question: A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 14 cups of tea are prepared, 7 in one way and 7 in other. Find the different possible ways of presenting these 14 cups to the expert.
Choices:
2432
3032
3432
None
Answer: C
Question: If December 3rd, 1999 is a Friday, what day is January 6th, 2000?
Choices:
Thursday
Friday
Saturday
Sunday
Answer: A
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 7 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?
Choices:
7
9
5
12
Answer: D
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
52
62
72
35
Answer: A
Question: The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
Choices:
24
34
48
54
Answer: C
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
200
289
267
261
Answer: A
Question: The width of a rectangle is 10 meter and its area is 150 square meter. If length of the rectangle is increased then its new area is 4/3 times of the original area. What is the new perimeter of the rectangle?
Choices:
52 m
54 m
60 m
None of these
Answer: C
Question: A train 600 m long passed a pole in 12 sec. How long will it take to pass a platform 450 m long?
Choices:
20
21
22
23
Answer: B
Question: The traffic lights at 3 different roads change after every 48 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.
Choices:
9:22:12
10:15:24
9:54:12
10:01:20
Answer: A
Question: What is the units digit of (147^17)^48 ?
Choices:
1
5
7
9
Answer: A
Question: The cost price of 4 notebooks is equal to the selling price of 6 notebooks. What is the % profit or loss.
Choices:
33.3 %
12.3 %
23.3 %
13.3 %
Answer: A
Question: Bill is golfing with three friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aero flight tees that come by the pair. What is the minimum number of packages of Aero flight tees Bill must purchase to ensure that he has at least 20 golf tees for each member of his foursome, if he will buy no more than 2 packages of the generic golf tees?
Choices:
10
28
4
2
Answer: B
Question: A father was as old as his son's present at the time of your birth. If the father's age is 42 years now, the son's age 5years back was?
Choices:
12 years
14 years
16 years
20 years
Answer: C
Question: The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n3/3 + cn2 + n/6, where c is a constant. What is the sum of the first 15 positive perfect squares?
Choices:
1,164
1,240
1,316
1,476
Answer: B
Question: What is the range of all the roots of |x^2 - 1| = x ?
Choices:
3
2
1
0
Answer: C
Question: Find value of X: 5216 × 51 = X
Choices:
343546
266016
353546
457632
Answer: B
Question: By walking at 3/4th of his usual speed, a man reaches office 16 minutes later than usual. What is his usual time?
Choices:
48min
65min
60min
70min
Answer: A
Question: When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Choices:
Rs. 5040
Rs. 7040
Rs. 5440
Rs. 8040
Answer: A
Question: If the remainder is 10 when positive integer n is divided by 14, what is the remainder when n is divided by 7?
Choices:
1
2
3
4
Answer: C
Question: A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ?
Choices:
19 hours
90 hours
80 hours
70 hours
Answer: B
Question: In my bungalow in Bangalore I have a beautiful rose garden.
The four sides of the garden are known to be 20, 16, 12 and 10 rods. And it is also knownthat it has the greatest possible area for those area?
Choices:
177.2
153.9
200.1
194.4
Answer: D
Question: Consider a Number 3.1n6
n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number?
Choices:
3
1
2
5
Answer: C
Question: In a certain kindergarten, every child has got either a dog or a cat or both. 18 children have got dogs only and 6 children have got both dogs and cats. If there are 30 children in the kindergarten, how many of them have cats?
Choices:
12
14
16
20
Answer: A
Question: I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation H in which of the following?
Choices:
II, I, III
II, III, I
III, I, II
III, II, I
Answer: A
Question: When the price of an article is reduced by 30%, the sales increases by 50%. The percentage change in the total amount of receipts is?
Choices:
5% increase
10% decrease
15% decrease
none of these
Answer: A
Question: The average (arithmetic man) of three integers a, b, and c is exactly half the median. If a < b < c and a = 0, what is the value of c/b?
Choices:
3/2
4
5
Cannot be determined from the information given.
Answer: A
Question: Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $605 as interest. What was the annual rate of interest?
Choices:
10%
12%
15%
20%
Answer: D
Question: For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6,7,9,-10?
Choices:
2
3
4
5
Answer: D
Question: Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.43, b = 2.98, and c = 3.76, what is y – x?
Choices:
0
0.05
0.1
0.2
Answer: A
Question: If a certain sample of data has a mean of 15 and a standard deviation of 2, which of the following is not within 2 standard deviations?
Choices:
15
10
12
14
Answer: B
Question: In the manufacture of a certain product, 9 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
Choices:
0.45%
0.8%
1.25%
2.0%
Answer: A
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
50
17
98
16
Answer: A
Question: Find the remainder W when 12^190 is divided by 1729 ?
Choices:
1
1728
1717
4
Answer: C
Question: A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choices:
665
412
235
856
Answer: A
Question: Two trains for Palwal leave Kanpur at 10 a.m and 10:30 am and travel at the speeds of 60 Kmph and 75 Kmph respectively. After how many kilometers from Kanpur will the two trains be together?
Choices:
150
170
180
190
Answer: A
Question: Which of the following values is the greatest?
Choices:
22% of 78
33% of 67
44% of 56
55% of 45
Answer: D
Question: If the number is divided by 3, it reduced by 30. The number is
Choices:
B)50
C)45
D)40
E)36
Answer: B
Question: The least number which when increased by 6 each divisible by each one of 24, 32, 36 and 54 is :
Choices:
858
869
4320
None of these
Answer: A
Question: Tom covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choices:
15 Kmph
25 Kmph
30 Kmph
34 Kmph
Answer: A
Question: Find the fourth proportion to 5,6,15
Choices:
18
6
9
2
Answer: A
Question: In what time will a train 20 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.8 sec
0.5 sec
2.3 sec
1.5 sec
Answer: B
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 84, 60, then the average marks of all the students is
Choices:
54.68
54.6
54.58
65.56
Answer: D
Question: Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 3/4 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Choices:
5/22
7/22
4/22
3/22
Answer: B
Question: If the ratio of x to y is 3 to 7, then (y-x)/(x+y)?
Choices:
-3/7
4/10
1
7/3
Answer: B
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in pacakages that contain either 3 notepads of the same size and the same color or 3 notepads 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:
8
16
24
32
Answer: B
Question: What is the remainder when 4^8707 is divided by 5 ?
Choices:
1
2
3
4
Answer: D
Question: A grocer has a sale of Rs. 7435, Rs. 7927, Rs. 7855, Rs. 8230 and Rs. 7562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7500?
Choices:
Rs. 2991
Rs. 3991
Rs. 4991
Rs. 5991
Answer: D
Question: Out of 7 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
Choices:
1/21
20/21
11/21
2/21
Answer: A
Question: A man covers a certain distance on bike. Had he moved 4 kmph faster, he would have taken 72 minutes less. If he moves slow by 4 kmph, he will take hours more to cover the distance. What is the distance travelled by him ?
Choices:
56 km
64 km
96 km
106 km
Answer: C
Question: Amita is taller than Rita but not as tall as Sapna, who is shorter than Farida. Sumedha is shorter than Farida but not as short as Rita. Who is the shorest among them?
Choices:
Sumedha
Rita
Cannot be determined
None of these
Answer: B
Question: A scale 7 ft. 12 inches long is divided into 4 equal parts. Find the length of each part.
Choices:
77 inches
24 inches
97 inches
66 inches
Answer: B
Question: When a number is divided by 6 &then multiply by 12 the answer is 12 what is the no.?
Choices:
5
5.5
5.8
6
Answer: D
Question: Winson's shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
Choices:
0.75
c) 8/9
5/7
6/8
Answer: C
Question: In a stack of cards, 6 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 8/11. What is the number of cards in the stack?
Choices:
7
12
15
18
Answer: A
Question: In a renowned city, the average birth rate is 4 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.
Choices:
43,200
43,300
43,400
43,450
Answer: A
Question: A train running at the speed of 20 km/hr crosses a post in 10 seconds. What is the length of the train?
Choices:
250
415
200
312
Answer: C
Question: If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in an ideal case scenario?
Choices:
1651
1653
1654
None
Answer: B
Question: Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce,making a profit of 20 percent. What was the ratio of the mixture?
Choices:
1:5
2:7
3:8
5:7
Answer: A
Question: There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Choices:
45
50
55
60
Answer: C
Question: If n is the greatest positive integer for which 4^n is a factor of 10!, then n =?
Choices:
4
6
8
10
Answer: A
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
Choices:
17/29
17/21
17/20
17/24
Answer: C
Question: √530493 ,493 is between
Choices:
200 and 400
600 and 800
100 and 300
800 and 1000
Answer: B
Question: Which of the following equations passes through the points (2,4) and (-3,-6)
Choices:
y = 2x + 3
y = (-1/2)x + 2
y = 2x + 4
y = 4x - 4
Answer: D
Question: How many figures are required to number the pages the pages of a book containing 1000 pages?
Choices:
2333
2993
2893
2693
Answer: C
Question: A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choices:
2 2/3 days
2 2/7 days
6 2/3 days
2 8/3 days
Answer: A
Question: Of the employees in a company, 20 % are female who have a master degree. If 10 % of the female employees do not have a master degree, what percent of the employees in the company are female?
Choices:
26.22%
25.22%
22.25%
22.22%
Answer: D
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
30 sec
40 sec
50 sec
60 sec
Answer: B
Question: A man has some hens and cows. If the number of heads be 46 and the number of feet equals 136, then the number of hens will be
Choices:
24
26
20
28
Answer: A
Question: The mall charges 60 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If Edward parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?
Choices:
$25.2
$13.
$14.5.
$15.5
Answer: A
Question: Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $660 (before payroll deductions)?
Choices:
900
1000
1100
1200
Answer: B
Question: Pat, Kate, and Mark charged a total of 135 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?
Choices:
36
75
90
108
Answer: B
Question: A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will not have been assembled by the end of the second hour?
Choices:
98
126
168
182
Answer: B
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 60% 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:
12.5%
15%
22%
25%
Answer: D
Question: A certain ball team has an equal number of right- and left-handed players. On a certain day, one-third of the players were absent from practice. Of the players at practice that day, one-third were right handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left handed players who were not at practice?
Choices:
5/1
5/7
7/5
3/2
Answer: A
Question: If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 10km more. The actual distance traveled by him is?
Choices:
30 km
18 km
16 km
97 km
Answer: A
Question: If Q is an odd number and the median of Q consecutive integers is 150, what is the largest of these integers?
Choices:
Q/2 + 149
(Q - 1)/2 + 150
(Q + 149)/2
(Q + 150)/2
Answer: B
Question: If the number 5 * 2 is divisible by 6, then * = ?
Choices:
2
3
1
6
Answer: A
Question: If p and q are both odd integers, which of the following must be an odd integer?
Choices:
2p+q
p+3q
2p+q+1
p+q^2
Answer: A
Question: P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
Choices:
1 : 4
1 : 2
1 : 1
1 : 9
Answer: C
Question: A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 3 days. For how many number of days should A and C should work together to complete the remaining work ?
Choices:
0.2
0.3
0.4
0.5
Answer: C
Question: Jane 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 Jane or Thomas is to be selected?
Choices:
46
55
63
70
Answer: B
Question: A reduction of 20% in the price of salt enables a lady to obtain 5 kgs more for Rs.100, find the original price per kg?
Choices:
1
5
4
7
Answer: B
Question: If A is the product of all positive integers less than 31, than what is the greatest integer k for which A/18^k is an integer?
Choices:
6
7
14
26
Answer: B
Question: The car A has 1.5 times the price of car B which is Rs.250000 more. What is the price of car B?
Choices:
200000
500000
800000
1000000
Answer: B
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 40,000. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
Choices:
3.5 months
2.5 months
8.5 months
9.5 months
Answer: C
Question: In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 1) lies inside the circle and the point (4, -3) lies outside the circle. If the radius r of the circle r is an integer then diameter ?
Choices:
10
4
3
2
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm.
Choices:
190 cm2
285 cm2
825 cm2
725 cm2
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 30 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
88
48
99
60
Answer: D
Question: R campers fished for 6 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
Choices:
(2m + n(R-m))/3
(2m + n(m-R))/3
(2m + n)/3
(2m + n)/6
Answer: D
Question: If 0 < x < 5 and -2 < y < 9, then the lowest possible value for xy is
Choices:
between 0 and 60
between - 50 and 50
between 0 and -70
less than -70
Answer: B
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 70 km downstream.
Choices:
3.8 hr
8.25 hr
2.25 hr
2.50 hr
Answer: A
Question: There is a clock which shows false timing ie it shows 10 minutes less for each 1 hour....if the clock shows 12 noon now how many minutes will be lost when it shows 3 pm ?
Choices:
26 minutes
36 minutes
46 minutes
56 minutes
Answer: B
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.50. If the company’s latest order required a truck with at least 336,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Choices:
$1,350
$1,725
$2,625
$2,250
Answer: C
Question: In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?
Choices:
56
120
560
720
Answer: A
Question: In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?
Choices:
1 1/4
1 1/2
1 1/3
1 1/5
Answer: A
Question: Which of the following inequalities is equivalent to −8 < x < 6?
Choices:
|x + 2| < 6
|x + 3| < 5
|x - 2| < 6
None of the above
Answer: D
Question: Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag WITH replacement. What is the probability that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Choices:
(2/8)∗(3/8)^2∗(3/8)^2∗5!/(2!∗2!)
(2/8)∗(3/8)^2∗(3/8)2
(28)∗(38)∗(38)^2(28)∗(38)∗(38)^2
(38)2∗(38
Answer: A
Question: A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
Choices:
1/5
1/6
1/7
1/24
Answer: B
Question: Sakshi can do a piece of work in 30 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
Choices:
16
14
25
10
Answer: B