antoine-444/aqua_rat_dataset huggingface dataset:
Question: A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the total amount of money that the students earned for the 16 days?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
Choices:
(2) $210
(3) $284
(4) $282
(5) $196
Answer: C
Question: Of the female students at Barkely University, 5/6 are on the honor roll. Of the male students, 2/3 are on the honor roll. If 2/5 of the students are female, what fraction of all the students are on the honor roll?
Choices:
3/15
23/30
22/30
53/90
Answer: C
Question: A man in a train notices that he can count 51 telephone posts in one minute. If they are known to be 100 metres apart, then at what speed is the train travelling?
Choices:
150km/hr
225km/hr
300km/hr
315km/hr
Answer: C
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choices:
46
88
544
33
Answer: A
Question: Linda and Angela contract to paint a neighbor's house. Even though Linda
spends 25% more time painting the house than Angela, each receives a payment
of m dollars when the work is completed. If Angela decides to pay Linda n
dollars so that they would have received the same compensation per hour
worked, what is n in terms of m?
Choices:
B)(1/9)m
C)(1/4)m
D)(1/5)m
E)(1/6)m
Answer: A
Question: A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction Q of time taken by the two wide pipes working together to fill the tank?
Choices:
2/3
3/4
3/7
4/7
Answer: D
Question: A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio W of revenue from car sales in 1996 to revenue from truck sales in 1996?
Choices:
1:2
1:1
3:2
5:3
Answer: A
Question: On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 16 more transactions than Cal. How much transactions did Jade handled?
Choices:
35
82
89
90
Answer: B
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1500. What is their H.C.F.?
Choices:
15
25
35
45
Answer: B
Question: (1000)7÷(10)15=?
Choices:
100
1000000
10000
None of these
Answer: B
Question: If e > a and L < a, which of the following cannot be true?
Choices:
d - L = 7
d - L = 1
a - e = 9
a + d = 9
Answer: C
Question: A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4. If the total value of all the coins in the bag is Rs.400, find the number of coins of each kind?
Choices:
50p coins = 400 20p coins = 600 10p coins = 800
50p coins = 800 20p coins = 400 10p coins = 200
50p coins = 400 20p coins = 500 10p coins = 300
60p coins = 500 20p coins = 400 10p coins = 300
Answer: A
Question: The difference between a number and its two-fifth is 510. What is 10% of that number?
Choices:
85
204
250
None of these
Answer: A
Question: If e + xy = e and x is not equal to 0, which of the following must be true?
Choices:
x+y=0
x=e
x=0
y=0
Answer: D
Question: The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.8, what is the probability that event B will occur?
Choices:
0.15
0.45
0.5
0.65
Answer: D
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 8 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Choices:
64%
100%
120%
125%
Answer: A
Question: The difference between a 6 digit number and the number formed by reversing its digit is not a multiple of
Choices:
92439
30813
10271
10272
Answer: D
Question: In a recent election, James received 0.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 45 percent of the vote. How many additional votes would James have needed to win the election?
Choices:
989
990
891
1,001
Answer: C
Question: A freight elevator can carry a maximum load of 1300 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?
Choices:
8
190
215
210
Answer: A
Question: Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team W, but each box of Team A’s has 60% fewer booklets than each box of Team W’s. Which of the following could be the total number of booklets distributed by the two groups?
Choices:
3,200
4,100
4,800
4,900
Answer: B
Question: Wn = 2Wn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If W5 = Q4 and W7 = 316, what is the first value of n for which Qn is an integer?
Choices:
2
3
4
5
Answer: B
Question: Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 4 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
2/5
3/7
1/2
4/7
Answer: A
Question: Angela has 11 pairs of matched socks. If she loses 7 individual socks, which of the following is NOT a possible number of matched pairs she has left?
Choices:
8
10
11
12
Answer: A
Question: Akash will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices:
5
9
24
26
Answer: A
Question: In covering a distance of 60 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choices:
8 km/h
10 km/h
15 km/h
20 km/h
Answer: B
Question: What percent is 2 minutes 24 seconds of an hour?
Choices:
2%
4%
8%
9%
Answer: B
Question: In how many different ways can the letters A, A, B, B, B, C, D, E be arranged if the letter C must be to the right of the letter D?
Choices:
1680
2520
3240
3360
Answer: A
Question: Smitty Farm picks 9866 cherries a day. If Smitty distributes their apples evenly across 9 different retail shops, how many cherries would remain with him.
Choices:
7 cherry
2 cherry
4 cherry
5 cherry
Answer: A
Question: It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 4 cms, How much did it rain on Wednesday?
Choices:
14
10.2
10.1
10.6
Answer: A
Question: Find the next number in the Sequence
2, 9, 30, 65,?
Choices:
114
167
122
126
Answer: A
Question: Prathik purchased 40 shirts for rs 3000.he spends 10% for transportation. What should be the selling price per shirt to earn profit of 20% ?
Choices:
97 rs
98 rs
99 rs
100 rs
Answer: C
Question: A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,585.75. How many boxes of plain cookies did she sell?
Choices:
233
500
695
791
Answer: D
Question: How many five-digit numbers that do not contain the digits 4 or 7 are there?
Choices:
27844
28642
16864
32458
Answer: B
Question: The slant height of a cone is 15 cm and radius of the base is 3cm, find the curved surface of the cone?
Choices:
134
141
190
28
Answer: B
Question: A container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 12 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution?
Choices:
3:7
3: 5
4:7
7:17
Answer: D
Question: If 3 boys can do 3 times of a particular work in 3 days, then, 7 boys can do 7 times of that work in?
Choices:
days
days
days
days
Answer: A
Question: In an election contested by two parties, Party B secured 20% of the total votes more than Party C. If party C got 144,000 votes, by how many votes did it lose the election?
Choices:
72,000
78,000
24,000
30,000
Answer: A
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A. 480 liters
Choices:
480
486
482
483
Answer: A
Question: Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (p,a). If a = 2, which of the following could be the equation of line m, which is perpendicular to line L?
Choices:
2x + y = px + 7
x + 2y = px + 7
y – 7 = x ÷ (p – 2)
2x + y = 7 – px
Answer: A
Question: Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
Choices:
6400
2899
2660
2701
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12 m
117.12 m
111.92 m
141.12 m
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50 km/hr
76 km/hr
56 km/hr
87 km/hr
Answer: A
Question: 1,2,4,7,_,16
Choices:
11
10
12
13
Answer: A
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 3 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Choices:
2/1
8/5
5/8
5/3
Answer: A
Question: In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (9, 0), (0, -3.5), (-9, 0)?
Choices:
63
112
116
120
Answer: A
Question: A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he make in 24 days?
Choices:
360
340
370
380
Answer: A
Question: A vendor bought bananas at 6 for Rs.10 and sold them at Rs.4 for Rs.6 .Find his gain or loss percent .
Choices:
10%
47%
36%
52%
Answer: A
Question: Which of the following has 35^70 as a factor?
Choices:
70^70
40^70
60^60
90^70
Answer: A
Question: Three taps A,B and C can fill a tank in 10,20 and 30. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in?
Choices:
7hour 10min
7hour 30min
8hour 15min
9hours 05 min
Answer: B
Question: At what time between 5.30 and 6 will the hands of a clock beat right angles?
Choices:
43 7⁄11 min. past 5
40 min. past 5
45 min. past 5
None of these
Answer: A
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
12 liters
10 liters
15 liters
18 liters
Answer: B
Question: Simplify: 45205 x 95
Choices:
4294470
4294475
4068450
226025
Answer: B
Question: The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years K in which the population would be doubled assuming there is no emigration or immigration is
Choices:
K=25
30
K=35
40
Answer: C
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.36000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
6
7.5
8.5
2
Answer: B
Question: If 144/0.144 = 14.4/x, then the value of x is:
Choices:
0.144
0.0144
0.414
None of them
Answer: B
Question: The factorial expression 9!/2! is not divisible by which of the following integers?
Choices:
2
6
7
11
Answer: D
Question: A man can row 12 Kmph in stil water and the river is running at 4 Kmph. If the man takes 2 hour to row to a place and back how far is the place?
Choices:
2.66 Km
10.66 Km
9 Km
10 km
Answer: B
Question: x is what percent of y percent of z, in terms of x, y and z? k be the value expressed in terms of x,y and z.
Choices:
1/xyz
100xyz
10^4*x/yz
10^3 x/yz
Answer: C
Question: In how many different ways can the letters of the word DETAIL be arranged in such a way that the vowels occupy only the odd positions?
Choices:
60
48
32
None of these
Answer: D
Question: The product Q of the first 10 prime numbers is closest to which of the following?
Choices:
6.5 x 10^8
6.5 x 10^9
6.5 x 10^10
6.5 x 10^11
Answer: B
Question: A will was written such that an estate would be divided among three guys with the remainder donated to charity. One stipulation in the will is that no one from the guys can receive an amount within 30% of another's amount. If one of the guys received $20,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the three guys?
Choices:
$5904
$7892
$10052
$20736
Answer: C
Question: A company wants to spend equal amounts of money for the purchase of two types of computer printers costing $400 and $350 per unit, respectively. What is the fewest number of computer printers that the company can purchase?
Choices:
13
15
17
19
Answer: B
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue E, in dollars, from the sale of cars priced at $ 15,000?
Choices:
750,000
850,000
7,500,000
E=750,000,000
Answer: D
Question: A qualified worker digs a well in 5 hours. He invites 3 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
Choices:
1:34
1:44
1:41
2:14
Answer: C
Question: A book is bought for $600 and sold for $624. What is the profit in percentage?
Choices:
4
6
8
10
Answer: A
Question: 10 men, working 5 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Choices:
5 hours a day
6 hours a day
7 hours a day
8 hours a day
Answer: A
Question: What is the sum of odd integers from 25 to 85
, inclusive?
Choices:
1,705
1,240
1,120
1,100
Answer: A
Question: Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
Choices:
20,000
27899
27891
27712
Answer: A
Question: The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 35 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
Choices:
23.3 litres
11 litres
07 litres
38 litres
Answer: A
Question: Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 4 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?
Choices:
1260
1540
7920
15840
Answer: B
Question: The ratio of two quantities is 2 to 3. If each of the quantities is increased by 4, what is the ratio of these two new quantities?
Choices:
It cannot be determined from the information given.
11/5
12/5
13/5
Answer: A
Question: There are 11 teams in a certain league and each team plays each of the other teams exactly once. What is the total number of games played?
Choices:
45
55
65
75
Answer: B
Question: A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
Choices:
6.1 %
6.2 %
6.3 %
6.4
Answer: D
Question: In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 10 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
250
1,250
2,500
10,000
Answer: A
Question: Find the greatest number of five digits which is exactly divisible by 12, 15 and 18?
Choices:
B)12960
C)10025
D)11080
E)12080
Answer: A
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Choices:
20m
43m
20m
23m
Answer: C
Question: Average of first six multiples of 4 is
Choices:
11
14
15
17
Answer: B
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
Choices:
Rs.5200
Rs.1800
Rs.3000
Rs.3200
Answer: C
Question: The average of first 80 non-zero positive numbers is:
Choices:
31.25
35
40.5
None of these
Answer: C
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
Choices:
153500m2
153600m2
153800m2
None of these
Answer: B
Question: Four bells begin to ring together and they ring after an interval of 6,8,9 and 12 second respectively. How many times will they ring together in one hour, including the one at the start?
Choices:
56
62
51
55
Answer: C
Question: Find a number such that when 15 is subtracted from 7 times the number, the
Result is 10 more than twice the number.
Choices:
4
5
0
3
Answer: B
Question: Solve below question 3x - 5 = -20
Choices:
-9
-5
-4
1
Answer: B
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
72
90
27
23
Answer: B
Question: Lorna invests $4000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
Choices:
$1,600
$800
$4,400
$5,840
Answer: B
Question: There are 2 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?
Choices:
6/16
4/16
7/9
4/10
Answer: C
Question: What percent of 200 is 55?
Choices:
4%
25%
27.5%
250%
Answer: C
Question: A number a is squared and then multiplied by negative 4. The result of this operation is equal to 4times the sum of FOURTH times a and 1. What is one possible value of a ?
Choices:
1
3
4
5
Answer: A
Question: 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 10 children together complete the piece of work?
Choices:
15 days
28 days
6 days
7 days
Answer: C
Question: The rate fo simple interest in two banks is in the ratio of 4 : 5 . Amith wants to deposit his total saving in these two banks in such a way that he should receive equal half yearly interest from both. He should deposits the saving in the banks in the ratio of:
Choices:
5 : 4
5 : 3
4 : 5
1 : 2
Answer: A
Question: The retail price of a washing machine is Rs.1265. If the manufacturer gains 10%, the wholesale dealer gains 15% and the retailer gains 25%, then the cost of the product is
Choices:
Rs 800
Rs 700
Rs 600
Rs 500
Answer: A
Question: Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.
Choices:
35
15
45
None of them
Answer: A
Question: There are 200 questions in a 3 hr examination. Among these questions there are 50 mathematics problems. It is suggested that twice as much time be spent on each maths problem as for each other question. How many minutes should be spent on mathematics problems
Choices:
60
45
72
90
Answer: C
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 9 less than n. What is y in terms of x ?
Choices:
9 - x
x + 9
x - 1
x + 1
Answer: C
Question: The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short.
Choices:
40
45
48
54
Answer: A
Question: A train of 30 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3.3
4
9
2
Answer: A
Question: A person spent 1/5 of his salary last year on household and 1/4 of the remainder on clothes. What fraction of last year’s salary did the person have left after his household and clothes expenditures?
Choices:
3/5
2/6
5/4
1/2
Answer: A
Question: I came across this problem in the GMATprep software and got it totally wrong!
A company consists of 6 senior and 4 junior staff officers. If a committee is created with 3 senior and 2 junior staff officers, how many possible committees are there?
Choices:
44
56
120
200
Answer: C
Question: Find 20 % of 240
Choices:
94
86
74
48
Answer: D
Question: In what ratio must rice at Rs 9.30 per Kg be mixed with rice at Rs 10.80 per Kg so that the mixture be worth Rs 10 per Kg?
Choices:
8:7
7:3
3:8
4:7
Answer: A
Question: The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is
Choices:
48
56
27
35
Answer: A
Question: A dealer sells his goods 10% less at cost price uses 850gm weight for 1kg his gain or loss percentage is
Choices:
21% Loss
17 11/17% Gain
17 11/17% Loss
None of these
Answer: B
Question: Find the circumference of radius 7 cm.
Choices:
44
66
77
88
Answer: A
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is
Choices:
13 kmph
14 kmph
15 kmph
None of these
Answer: A
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 $22.95. What is the greatest number of hot dogs you can buy at this store with $220?
Choices:
2,100
2,108
2,124
2,218
Answer: D
Question: Of the science books in a certain supply room, 50 are on botany, 60 are on zoology, 90 are on physics. 40 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Choices:
159
309
285
324
Answer: B
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5.
Choices:
20
24
30
32
Answer: A
Question: How many 5 digit no. can b formed with digits 1, 2, 3,4,5,6 which r divisible by 4 and digits not repeated?
Choices:
190
191
192
193
Answer: C
Question: In a school seats for Maths, Physics and Biology in a school are in the ratio 1:2:3. There is a proposal to increase these seats by 10%,20% and 30%. What will be the ratio of increased seats?
Choices:
16:34:47
11:24:39
15:42:77
5:15:26
Answer: B
Question: In an election between the two candidates ,The candidates who gets 60% of votes polled is wined by 280 votes majority. What is the total number of votes polled?
Choices:
1400
1600
1700
1800
Answer: A
Question: The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is?
Choices:
25
27
19
12
Answer: A
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
32:41
32:45
32:49
32:47
Answer: B
Question: A sum of Rs.4500 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
Rs.2925
Rs.3320
Rs.2760
None of these
Answer: A
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Choices:
4 days
5 days
6 days
7 days
Answer: A
Question: A train running at the speed of 180 km/hr crosses a pole in 18 seconds. What is the length of the train?
Choices:
900
950
1000
1050
Answer: A
Question: If (4,000)(5,000) = (20)(1,000^x), what is the value of x?
Choices:
4
3
2
1
Answer: C
Question: If a certain number of labours can dig earth 100m deep, 25m long, and 30m broad in 12 days, then find the number of days the same number of labours will require to dig earth 75m deep, 20m long and 50m broad.
Choices:
12
6
1
2
Answer: A
Question: In a bag there are a certain number of orange balls and blue balls. The probability of picking up exactly 1 blue ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of orange balls to blue balls in the bag
Choices:
1:1
1:31
1:3
1:5
Answer: A
Question: The simple interest on a sum of money will be Rs.400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
2888
1200
800
2771
Answer: C
Question: Club X has more than 20 but fewer than 50 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 4 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?
Choices:
2
3
4
5
Answer: B
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.144 in 4 Years?
Choices:
8%
3%
4.5%
1%
Answer: C
Question: A man can row upstream at 40 kmph and downstream at 52 kmph, and then find the speed of the man in still water?
Choices:
40
42
46
24
Answer: C
Question: Find the value of x from the below equation: x^2−7x+10=0
Choices:
5 or 2
1 or 7
3 or 5
None
Answer: A
Question: In a certain store, the profit is 150% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70%
100%
50%
120%
Answer: C
Question: What percent of a day is six hours?
Choices:
25%
18x2/3%
22x1/2%
None of these
Answer: A
Question: Pipe A fills a tank in 6 minutes. Pipe B can fill the same tank 2 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:
1.0
1.5
2.0
2.5
Answer: C
Question: For a certain cylinder, the diameter equals the height. If every length in this cylinder is decreased by 60%, then to the nearest integer, by what percent does the volume decrease?
Choices:
40%
60%
84%
94%
Answer: D
Question: The C.P of 20 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
20%
30%
40%
50%
Answer: C
Question: Divide $5000 among X,Y in the ratio 2:8. How many $ that X get?
Choices:
$1000
$1100
$1150
$1200
Answer: A
Question: There are 250 doctors and nurses at a hospital. If the ratio of doctors to nurses is 2 to 3, how many nurses are at the hospital?
Choices:
138
142
146
150
Answer: D
Question: If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?
Choices:
3/8
1/2
5/8
3/4
Answer: C
Question: There is 50% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choices:
3120
17988
6240
5240
Answer: B
Question: The average marks obtained by 50 candidates in a certain examination is 40.Find the total marks.
Choices:
2000
1640
2200
2400
Answer: A
Question: If 20% of (x-y) = 15% of (x+y), then what percent of x is y?
Choices:
44.4%
22.2%
14.3%
25%
Answer: C
Question: 4,6,12,24,36,48....
Choices:
60
61
62
63
Answer: A
Question: 30 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.
Choices:
200
210
220
435
Answer: D
Question: If a - b = 3 and a2 + b2 = 29, find the value of ab.
Choices:
10
13
15
18
Answer: A
Question: A Prototype fuel-efficient car (P-Car) is estimated to get 80% more miles per gallon of gasoline
than does a traditional fuel-efficient car (T-Car). However, the P-Car requires a special type
of gasoline that costs 20% less per gallon than does the gasoline used by a T-Car. If the two
cars are driven the same distance, what percent less than the money spent on gasoline for the
T-Car is the money spent on gasoline for the P-Car?
Choices:
33 1/3 %
50%
55.56%
66 2/3 %
Answer: C
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Choices:
14
19
22
24
Answer: A
Question: he total marks obtained by a student in Physics, Chemistry and Mathematics is 110 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
55
75
85
95
Answer: A
Question: The investment of A, B, and C in a business are in the ratio 3:1:4. The total investment is Rs. 60,000. Find the investment made by each.
Choices:
22500, 7500, 30000
23500, 7500, 29000
23000, 8500, 28500
23000, 8000, 29000
Answer: A
Question: On dividing 13698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
Choices:
154
852
741
785
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150
167
166
112
Answer: A
Question: In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number Q of employees who take the subway to work?
Choices:
13
14
15
16
Answer: C
Question: In the junior basketball league there are 15 teams, 1/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad?
Choices:
6.
7.
8.
9.
Answer: D
Question: A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Choices:
19
15
24
10
Answer: C
Question: Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
Choices:
60,88
60,86
60,84
60,81
Answer: C
Question: If u r genius solve it:-
40 * 14 = 11
30 * 13 = 12
20 * 12 = 6
10 * 11 = 2
9 * 10 = ?
Choices:
4
6
9
10
Answer: C
Question: The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
Choices:
20043.94
93832.39
29334.93
20483.33
Answer: A
Question: Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?
Choices:
45
60
80
100
Answer: B
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are?
Choices:
6Rs
9Rs
1Rs
2Rs
Answer: A
Question: What is the sum of the different positive prime factors of 350?
Choices:
11
14
16
18
Answer: B
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
279
245
288
211
Answer: B
Question: The manufacturing cost of a shoe is Rs.190 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
Choices:
s 234
s 220
s 210
s 217
Answer: A
Question: One night 19 percent of the female officers on a police force were on duty. If 152 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
350
400
450
500
Answer: B
Question: If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 14 is subtracted and divided by 10?
Choices:
4
8
5
3
Answer: A
Question: 200 is what percent of 50?
Choices:
2%
5%
20%
400%
Answer: D
Question: 3-5*6+2=
Choices:
B)-13
C)-18
D)-17
E) -25
Answer: D
Question: What is the remainder of W=3^19 when divided by 10?
Choices:
1
5
7
9
Answer: C
Question: A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 11000. What is the share of C?
Choices:
Rs. 3000
Rs. 6750
Rs. 5625
None of these
Answer: A
Question: If a car had traveled 40 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 120 km, at what speed did it travel?
Choices:
60 kmh
70 kmh
80 kmh
90 kmh
Answer: C
Question: There are 8 men and 4 chairs. In how many ways men can occupy the chairs?
Choices:
8400
1680
1740
1800
Answer: B
Question: A new beverage, which is a mixture of grape juice and apple juice, is being tested. The test container of 800 milliliters is 15% grape juice. If the response to the beverage causes the maker to increase the percentage of grape juice in the container to 20%, how much grape juice will be added?
Choices:
40
50
120
160
Answer: B
Question: Of the 400 members at a health club, 260 use the weight room and 310 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:
Choices:
240 to 280
230 to 260
220 to 300
200 to 260
Answer: B
Question: If each digit in the set A = {1, 2, 3, 4, 5} is used exactly once, in how many ways can the 5 digits be arranged?
Choices:
24
72
96
120
Answer: D
Question: A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 72 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
Choices:
2100
2200
2300
2400
Answer: D
Question: The average age of 4 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
Choices:
30
99
26
27
Answer: C
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 12%. What was its profit on the items sold in February?
Choices:
32%
35%
37.5%
40%
Answer: A
Question: If the speed of Y meters per second is equivalent to the speed of X kilometers per hour, what is X in terms of Y? (1 kilometer=1000 meters)
Choices:
6y/5
18y/5
60y
3600000y
Answer: B
Question: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every nine minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Choices:
200%
250%
300%
350%
Answer: C
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
19 kmph
14 kmph
11 kmph
13 kmph
Answer: B
Question: Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 5^a and y = 4^b, which of the following is a possible units digit of xy?
Choices:
4
5
7
0
Answer: D
Question: Two dice are rolled. What is the probability the sum will be greater than 11?
Choices:
1/12.
1/36.
1/6.
1/5.
Answer: B
Question: A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3500, A will get:
Choices:
Rs.1500
Rs. 2100
Rs.2000
None of these
Answer: B
Question: A train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going?
Choices:
8 sec
10 sec
12 sec
14 sec
Answer: C
Question: An investment of $5000 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $5000 increased to $20000 by earning interest. In how many years after the initial investment was made the $5000 have increased to $40000 by earning interest at that rate?
Choices:
12
20
24
18
Answer: D
Question: All factors of a positive integer B are multiplied and the product obtained is B^3. If B is greater than 1, how many factors does B have?
Choices:
3
6
7
8
Answer: B
Question: he average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
74
30
34
35
Answer: B
Question: How many positive integers less than 30 are either a multiple of 2, an odd prime number, of the sum of a positive multiple of 2 and an odd prime?
Choices:
28
27
25
23
Answer: A
Question: How many six-digit numbers that do not contain the digits 5 or 8 are there?
Choices:
156444
229376
816416
316544
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Choices:
200
120
776
991
Answer: A
Question: he number of sequences in which 9 players can throw a ball, so that the youngest player may not be the last is?
Choices:
322560
432020
288212
278212
Answer: A
Question: In a sports club with 55 members, 23 play badminton and 29 play tennis and 7 do not play either. How many members play both badminton and tennis?
Choices:
5
4
7
8
Answer: B
Question: A certain basketball team that has played 2/3 of its games has a record of 15 wins and 5 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
Choices:
6
5
4
2
Answer: D
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
Rs.3120
Rs.3127
Rs.3121
Rs.3122
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 8/3%
33 1/3%
33 2/3%
33 1/2%
Answer: B
Question: A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability M that the sum of the two integers will equal 9 ?
Choices:
0.20
0.25
0.30
0.33
Answer: A
Question: A number when divided by 342 gives a remainder 47. When the same number ift divided by 19, what would be the remainder ?
Choices:
8
9
21
14
Answer: B
Question: All of the citizens of a country have a six-character or seven-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
Choices:
35(36^7)
37(36^6)
35(36^6)
37(36^7)
Answer: B
Question: A man can row a boat at 10 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
30/21
30/11
30/7
30/8
Answer: D
Question: 72519 x 9999 = ?
Choices:
725117481
725189201
725173920
722928481
Answer: A
Question: If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x
Choices:
58
99
26
17
Answer: A
Question: 30 men can do a work in 40 days. When should 15 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
10 days
15 days
44 days
22 days
Answer: B
Question: Rajesh spends 40% of his monthly salary on food, 20% of the medicines and saves 60% of the remaining amount. If his monthly salary is Rs.15,000, how much money does he save every month ?
Choices:
Rs.2596
Rs.4320
Rs.6489
Rs.4789
Answer: B
Question: There are 4 books on fairy tales, 5 novels and 3 plays. In how many ways can you arrange these so that books on fairy tales are together, novels are together and plays are together and in the order, books on fairy tales, novels and plays.
Choices:
17280
21548
36554
None of these
Answer: A
Question: A lady bought five books namely A,B,C,D,E to distribute her 2 children. How many ways she can distribute books?
Choices:
3^4
2^5
3^6
3^2
Answer: B
Question: A man's speed with the current is 18 km/hr and the speed of the current is 3.4 km/hr. The man's speed against the current is
Choices:
10.4
11.2
12.5
13
Answer: B
Question: A trade analyst announced 15% reduction in the unit price of bike. As a result, the sales volume went up by 15%. What was the net effect on the sales revenue?
Choices:
decreases by 6.5%
increases by 6.5%
increases by 5.6%
None of these
Answer: A
Question: A train 350 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
9 sec
12 sec
21 sec
18 sec
Answer: C
Question: An alloy of copper and zinc contains copper and zinc in the ratio 5 : 3. Another alloy of copper and zinc contains copper and zinc in the ratio 1 : 7. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
Choices:
7 : 3
5 : 3
3 : 1
4 : 3
Answer: C
Question: In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 16% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
6
15
20
25
Answer: A
Question: A sum of Rs. 125000 amounts to Rs. 17500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
10%
5%
6%
7%
Answer: A
Question: Find the compound interest on $1200 for 1year at 20% p.a. if CI is component yearly?
Choices:
$150
$240
$250
$300
Answer: B
Question: If GAVE is coded as 5137 and BAT is coded as 924. How is GATE coded?
Choices:
5147
6584
7489
9487
Answer: A
Question: 6!/(6-3)!=?
Choices:
120
356
366
396
Answer: A
Question: The monthly rent of a shop of dimension 20feet × 15feet is Rs.3600. What is the annual rent per square foot of the shop?
Choices:
144
68
87
92
Answer: A
Question: Diane find 3 and a half cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
Choices:
17 and a half
10
12 and a half
15
Answer: A
Question: What is the product of the prime factors of 27 and the prime factors of 121?
Choices:
3762
3627
3267
3257
Answer: C
Question: A dice has one of the first 8 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 10 times and the results added.the addition is most likely to be closet to
Choices:
48
96
90
70
Answer: B
Question: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?
Choices:
56%
41%
37%
29%
Answer: A
Question: The cash realised on selling a 14% stock is Rs.108.25, brokerage being 1/4% is
Choices:
106
108
156
240
Answer: B
Question: If the number obtained on interchanging the digits of a two digit number is 18 more than the original number and the sum of the digits is 8, then what is the original number?
Choices:
30
35
40
45
Answer: B
Question: If y = q/6 + r/6^2 + s/2^5, where q, r, and r are each equal to 1 or 0, then y could be any of the values below EXCEPT:
Choices:
7/32
1/4
5/16
21/16
Answer: C
Question: 2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in
Choices:
21
51
11
41
Answer: A
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Choices:
6866 sq m
4312 sq m
9277 sq m
2678 sq m
Answer: B
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
3 5/2 sec
3 7/2 sec
8 1/2 sec
3 1/8 sec
Answer: C
Question: (2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)
In the above equation, what is the value of x?
Choices:
7
8
6
4
Answer: C
Question: How much water should be added to 13 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Choices:
27 liters
30 liters
32 liters
35 liters
Answer: A
Question: The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Choices:
100
270
278
213
Answer: A
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
11 1/4
11 1/3
11 1/2
11 1/1
Answer: A
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices:
6 min
2 min
5 min
8 min
Answer: A
Question: by what least number 675 be multiplied to obtain a number which is a perfect cube ?
Choices:
5
7
8
9
Answer: A
Question: A store owner estimates that the average price of type A products will increase by 30% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$14,980
$16,000
$16,225
$17,155
Answer: A
Question: A 4-letter code word consists of letters O, U, AND P. If the code includes all the three letters, how many such codes are possible?
Choices:
48
4
84
36
Answer: D
Question: Magnabulk Corp sells boxes holding d magnets each. The boxes are shipped in crates, each holding c boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
Choices:
cd/(100m)
100m/(cd)
m/(cd)
cd/m
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
267 m
602 m
267 m
Answer: A
Question: A, Band C start a business each investing Rs. 20,000. After 5 months A withdrew Rs.6000 B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each.
Choices:
18400;21900;23100
20500;21200;28200
22300;19850;20600
None of them
Answer: B
Question: A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 450 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
365
360
380
350
Answer: B