antoine-444/aqua_rat_dataset huggingface dataset:
Question: A man takes 3 hours 45 minutes to row a boat 25 km downstream of a river and 2 hours 30 minutes to cover a distance of 15 km upstream. Find the speed of the current.
Choices:
2/3 km/hr
1/3 km/hr
4 km/hr
None of these
Answer: B
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Choices:
150°
168°
180°
none
Answer: C
Question: Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 4 meters high. What is Mr. Wayne's speed in meters per second?
Choices:
3.75
4
4.25
5
Answer: D
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?
Choices:
8km/h
12km/h
13km/h
14km/h
Answer: A
Question: A marketing firm determined that, of 200 households surveyed, 80 used neither Brand R nor Brand B soap, 60 used only Brand R soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
Choices:
20
30
40
45
Answer: C
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 14 family members in a row for the picture?
Choices:
13×12!
12×13!
14!/2!
14!
Answer: B
Question: What is the units digit of 33^2 * 17^3 * 39^2?
Choices:
3
5
7
9
Answer: C
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
99
40
28
23
Answer: B
Question: Saskia needs to catch the 3.15pm train in order to get to her Mixed Martial Arts fight on time. It is 2.55 pm and Saskia is 2 miles from the train station. Saskia can run at an average speed of 10 miles per hour. However Saskia is carrying a sack of bricks which slows her down by 20%. If she runs to the station how many minutes early or late will she be for the train?
Choices:
5 minutes early
0 minutes early
5 minutes late
10 minutes late
Answer: A
Question: The H.C.F of two numbers is 15 and their L.C.M is 3300. If one of the numbers is 225, then the other is?
Choices:
210
220
230
240
Answer: B
Question: A bus from city M is traveling to city N at a constant speed while another bus is making the same journey in the opposite direction at the same constant speed. They meet in point P after driving for 2 hours. The following day the buses do the return trip at the same constant speed. One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 miles from point P, what is the distance Q between the two cities?
Choices:
72
96
120
192
Answer: D
Question: The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone?
Choices:
28
48
26
28
Answer: B
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 4 years hence?
Choices:
60
68
80
90
Answer: B
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:
3944
2977
2668
1298
Answer: A
Question: John invests $x at the semi-annual constant compounded rate of 2 percent and also does $40,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
Choices:
55000
60000
70000
80804
Answer: D
Question: B and C walk around a circular track. They start at 9 a.m from the same point in the opposite directions. B and C walk at a speed of 5 rounds per hour and 4 rounds per hour respectively. How many times shall they cross each other before 1 p.m
Choices:
35
36
37
38
Answer: B
Question: On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus?
Choices:
16
29
30
36
Answer: D
Question: Sixteen men complete a work in 24 days while 48 children can do it in 16 days. Twelve men started the work, after 14 days 12 children joined them. In how Many days will all of them together complete the remaining work?
Choices:
12
27
29
17
Answer: A
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Choices:
1
5
6
7
Answer: A
Question: Rs.500 amounts to Rs.620 in 2 years at simple interest. If the interest is increased by 2%, it would amount to how much?
Choices:
25
614
530
210
Answer: C
Question: Yearly subscription to professional magazines cost a company $840.00. To Make a 30% cut in the magazine budget, how much less must be spent?
Choices:
655
656
588
658
Answer: C
Question: What is the sum of the integers from -190 to 191 inclusive?
Choices:
191
375
875
965
Answer: A
Question: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ?
Choices:
6! * 7P6
6!)2
6! * 7
7! * 7
Answer: A
Question: V is the volume of a cylinder; the radius of the cylinder is 3.5. The height of the cylinder is 650% more than the radius. Which of the following is true?
Choices:
300 < V < 500
500 < V < 700
700 < V < 900
900 < V < 1100
Answer: C
Question: If there are 7 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Choices:
24
56
144
280
Answer: D
Question: Rs 1000 is being charged at 50% per annum. what is the interest for 3rd year at compound interest?
Choices:
2667
1125
2867
9996
Answer: B
Question: The total weight of six nougat nuggets is 3 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Choices:
0.5 oz.
1.8 oz.
5 oz.
18 oz
Answer: A
Question: A tourist purchased a total of $1,400 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,310
$1,290
$1,270
$1,170
Answer: D
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Choices:
1/26
1/20
1/21
1/21
Answer: A
Question: 223.124 x 11.98 Ã· 6.001 + 11.11 = ?
Choices:
459.121
781.189
656.112
457.358
Answer: D
Question: A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 800. How many workers were part of the latter production run?
Choices:
B)10
C)11
D)21
E)23.5
Answer: C
Question: If 0 < a < b and k = (2a + 4b)/b , which of the following must be true?
Choices:
k < 6
k < 9
k > 9
k > 11
Answer: A
Question: an operation * is defined by the equation:
a*b=a-b/a+b, for all numbers a and b such that a is not equal to -b, if a is not equal to -e and a*e=0, then e=?
Choices:
b) -1/a
c) 1/a
d)0
e)a
Answer: D
Question: A searchlight on top of the watch-tower makes 2 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds?
Choices:
1/3
1/2
2/3
5/6
Answer: D
Question: find four consecutive numbers such that the sum of the first three numbers is twelve more than the fourth number ?
Choices:
3,4,5,6
9,10,11,12
6,7,8,9
None
Answer: C
Question: By selling 16 pencils for a rupee a man loses 28%. How many for a rupee should he sell in order to gain 28%?
Choices:
9
7
6
4
Answer: A
Question: Find the simple interest on $10000 at 9% per annum for 12 months?
Choices:
$500
$650
$710
$900
Answer: D
Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 200. How much did he have with him in the beginning?
Choices:
s 500
s 300
s 450
s 550
Answer: A
Question: A certain junior class has 1000 students and a certain senior class has 800 students. Among these students, there are 40 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
Choices:
1/3600
1/20000
1/60
1/15
Answer: B
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 8 : 1 ?
Choices:
3 months
2 months
8 months
9 months
Answer: A
Question: Dhoni weighs twice as much as Nameetha. Nameetha's weight is 55% of Bima's weight. Dravid weighs 35% of Leela's weight. Leela weighs 30% of Dhoni's weight. Who among these 5 persons weighs the least?
Choices:
Dravid
Bima
Nameetha
Leela
Answer: A
Question: A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years.
Choices:
3.5
4
4.25
4.5
Answer: A
Question: Find the length of the longest pole that can be placed in an indoor stadium 24 m long, 18 m wide and 16 m high
Choices:
32
33
34
35
Answer: C
Question: During a given week A programmer spends 1/4 of his time preparing flow chart, 3/8 of his time coding and the rest of the time in debugging the programs. If he works 48 hours during the week , how many hours did he spend debugging the program.
Choices:
16 hrs
18 hrs
19 hrs
17 hrs
Answer: B
Question: Priya went to the stationers and bought things worth Rs. 200, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 2%. then what was the cost of the tax free items?
Choices:
Rs. 174.50
Rs. 174.00
Rs. 170.00
Rs. 173.50
Answer: A
Question: 8 friends are living in 8 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 8 parking spots. In how many ways can they park their cars so that exactly 6 people park their cars in the spots allotted to them?
Choices:
28
36
44
52
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 2/8%
16 3/3%
16 2/3%
14 2/6%
Answer: C
Question: Find the value of 72519 x 9999 = m?
Choices:
723417481
710017481
725117481
None
Answer: C
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
26
12
24
48
Answer: B
Question: Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 12 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip?
Choices:
42
44
50
52.5
Answer: A
Question: In a class composed of x girls and y boys, What part of the class is composed of girls
Choices:
x/xy
x/(x + y)
y/xy
1/xy
Answer: B
Question: While playing a certain dice game, Chris wins if the sum of the two dice is 7, at which point the game is over. If the game allows Chris three rolls in an attempt to win, what is the probability that Chris will win?
Choices:
17/36
91/216
11/36
25/216
Answer: B
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Choices:
240
379
277
122
Answer: A
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2.2
3
3.5
4
Answer: B
Question: At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $2 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
Choices:
8
6
10
11
Answer: B
Question: A batsman has scored an average of 46 runs for a certain number of innings played in England. When he came back to India, he played another two test matches of two innings each and scored at an average of 55 runs. For the innings in England and in India taken together, he has improved his average by 2 runs over the matches played in England.Find the number of innings played in England.
Choices:
13
14
15
16
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
276
199
150
882
Answer: C
Question: What values of x satisfy the equation x2/3 + x1/3 – 2 ≤ 0 ?
Choices:
– 8 ≤ x ≤ 1
1 ≤ x ≤ 8
– 8 ≤ x ≤ 8
None of these
Answer: A
Question: If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 123, what is the least possible value of n?
Choices:
123
41
52
87
Answer: B
Question: 2 men and 4 boys can complete a work in 4 days. 5 men and 6 boys can complete the same work in 3 days. The work done by 2 boys is equal to the work of how many men?
Choices:
4
5
6
7
Answer: B
Question: Given that x = 2^b – (8^34 + 16^5), which of the following values for b yields the lowest value for |x|?
Choices:
102
103
104
122
Answer: A
Question: If the length of the sides of two cubes are in the ratio 6:1, what is the ratio of their total surface area?
Choices:
12:1
24:1
36:1
72:1
Answer: C
Question: A number exceeds by 25 from its 3/8 part. Then the number is?
Choices:
35
39
40
45
Answer: C
Question: The sum of three consecutive even numbers is 42. Find the middle number of the three?
Choices:
14
18
22
24
Answer: A
Question: CONVERT 1.6 hectares in ares
Choices:
160 ares.
180 ares.
230 ares.
250 ares.
Answer: A
Question: 20 beavers, working together in a constant pace, can build a dam in 6 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?
Choices:
10.
5.
6
8.
Answer: A
Question: If both 2^2 and 3^4 are factors of the number a*4^3*6^2*13^11, then what is the smallest possible value of a?
Choices:
9
12
15
18
Answer: A
Question: Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly?
Choices:
7 litre
31 litre
41 litre
None
Answer: B
Question: If both a and b belongs to the set {1,2,3,4 }, then the number of equations of the form ax2 + bx + 1 = 0 having real roots is
Choices:
7
6
12
15
Answer: A
Question: For all numbers a and b, the operationis defined by ab = (a + 2)(b – 3).
If 3y = –30, then y =
Choices:
–6
-3
6
15
Answer: B
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Choices:
Rs.3300
Rs.3600
Rs.3900
Rs.3800
Answer: B
Question: The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
Choices:
8.3%
0.3%
0.39%
2.3%
Answer: B
Question: In a colony of 70 residents, the ratio of the number of men and women is 4 : 3. Among the women, the ratio of the educated to the uneducated is 2 : 3. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?
Choices:
B)1:1
C)1:8
D)1:3
E)1:9
Answer: C
Question: How many words can be formed from the letters of the word ‘DIRECTOR’ So that the vowels are always together?
Choices:
2160
1203
2564
5421
Answer: A
Question: In a garden, 26 trees are planted at equal distances along a yard 600 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
Choices:
8
12
24
16
Answer: C
Question: A sum of money becomes 7/6 of itself in 2 years at a certain rate of simple interest. The rate per annum is?
Choices:
50/7
50/6
50/8
50/3
Answer: B
Question: Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity W for the round trip?
Choices:
48 miles per hour
50 miles per hour
53 1/3 miles per hour
68 miles per hour
Answer: A
Question: Andrew went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19
19.7
21
21.3
Answer: B
Question: B invested $4000 in a business and C invested $3000 in a business. At the end of the year they got $14000 as the profit. Find their share?
Choices:
$8000,$6000
$6000,$4000
$6000,$8000
$5000,$6000
Answer: A
Question: 40% of a number is more than 20% of 650 by 190. Find the number?
Choices:
127
800
128
189
Answer: B
Question: In expressing a length 81.475 km as nearly as possible with three significant digits, find the percentage error?
Choices:
0.156%
0.031%
0.048%
0.152%
Answer: B
Question: A person can row at 9 kmph and still water. He takes 7 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
33
29
54
20
Answer: A
Question: Set A contains all the even numbers between 8 and 50 inclusive. Set B contains all the even numbers between 108 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
2200
5050
6275
11325
Answer: A
Question: The average of 10 numbers is 23. If each number is increased by 6, what will the new average be?
Choices:
29
72
29
22
Answer: A
Question: Little Praveen had $50.50. He spent $12.25 on sweets and gave same money to his two friends and the amount left with him is $31.25. Find how much he spent to two of his friends?
Choices:
$ 18.65
$ 19.25
$ 16.55
$ 17.65
Answer: A
Question: There are six leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
Choices:
4 leopard and 7 sheep
6 leopard and 4 sheep
5 leopard and 1 sheep
2 leopard and 5 sheep
Answer: C
Question: At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 19.6 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
Choices:
14.0
14.3
14.6
14.9
Answer: A
Question: Over the course of a year, a certain microbrewery increased its beer output by 70 percent. At the same time, it decreased its total working hours by 20 percent. By what percent did this factory increase its output per hour?
Choices:
90%
112.5%
210%
212.5%
Answer: B
Question: If it is possible to from a word with the first, fourth, seventh and eleventh letters in the word
'SPHERVLVODS' write the second letter of thet word. Otherwise, X is the answer.?
Choices:
E
R
HG
K
Answer: A
Question: In a camp, there is a meal for 100 men or 200 children. If 130 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
35
10
40
Answer: B
Question: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 19 inches, how many inches of framing material does the carpenter need to frame the painting?
Choices:
22 1/2
37 1/2
50
25
Answer: D
Question: 15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days .How many days will 10 men and 10 boys together take to complete the same work
Choices:
10 days
12 days
13 days
None of these
Answer: A
Question: A code is to be made by arranging 8 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, two of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
Choices:
210
420
840
6,720
Answer: D
Question: If pq represents a positive two digit number, where p and q are single digit integers, which of the following cannot be true?
Choices:
(p)(q)=9
p-q = 9
q-p= 9
p/q = 9
Answer: C
Question: Two pipes can fill a tank in 18 minutes and 20 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
1/16
1/11
1/10
1/12
Answer: D
Question: Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.
How much time will it take Roy to consume all the five tablets?
Choices:
60 minutes
50 minutes
45 minutes
55 minutes
Answer: A
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
31.1
31.6
31.2
31.5
Answer: B
Question: Eight mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the six arrange themselves in line such that Frankie’s requirement is satisfied?
Choices:
20160
12000
36002
7200
Answer: A
Question: Line Q has the equation 5y – 3x = 90. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)
Choices:
61
64
67
70
Answer: C
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 5 children have two children of the same sex and one of the opposite sex?
Choices:
2/3
1/4
5/16
3/5
Answer: C
Question: If r and y are different prime numbers less than ten, what must be true about the sum of r and y?
Choices:
the sum is odd
the sum is less than ten
the sum is greater than ten
the sum is less than 13
Answer: D
Question: The total circumference of two circles is 25. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
Choices:
6.0
4.0
9.7
18.0
Answer: B
Question: The salary of a person was reduced by 14%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
16.3%
13.7%
15.1%
12.3%
Answer: A
Question: A and B can complete a work in 30days and 15day. They started doing the work together but after 5days B had to leave and A alone completed the remaining work. The whole work was completed in?
Choices:
12days
20days
18days
25days
Answer: B
Question: Let a1, a2, . . . , ar be r not necessarily distinct positive integers such that
(x + a1)(x + a2) · · · (x + ar) = xr + 230xr−1 + · · · + 2007,
where each missing term on the right has degree between 1 and r − 2
inclusive. What is the value of r ?
Choices:
4
63
669
2007
Answer: A
Question: In a school with 652 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Choices:
200
250
163
None
Answer: C
Question: Find the annual income derived by investing $ 6800 in 30% stock at 136.
Choices:
1500
250
1300
400
Answer: A
Question: A sum of money at simple interest amounts to $ 680 in 3 years and to $710 in 4 years. The sum is:
Choices:
$698
$590
$549
$675
Answer: B
Question: Which number can we add to 987654 to get a number exactly divisible by 456?
Choices:
24
30
36
42
Answer: D
Question: A car covers a distance of 984 km in 6 ½ hours. Find its speed?
Choices:
187 kmph
164 kmph
175 kmph
106 kmph
Answer: B
Question: A straight line is formed using two points A(3,3) and B(6,6). Another point P(x,y) lies between A and B such that AP/BP = 9. What are the coordinates of P?
Choices:
(57/10, 57/10)
(63/10, 63/10)
(27/10, 27/10)
(9/10, 9/10)
Answer: A
Question: At a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. Mary selects a total of 10 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 48 cents. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 45 cents?
Choices:
2
3
4
5
Answer: A
Question: If the average (arithmetic mean) of five consecutive negative integers is 10k – 1, what is the difference between the greatest and least of the five integers?
Choices:
4k^2 -4k
4-4k
4
4k+4
Answer: C
Question: In some code, letters, a, b, c, d and e represent numbers 2, 4, 5, 6 and 10. However, we don’t know which letter represent which number.
Consider the following relationships:
i. a + c = e
ii. b – d = d
iii. e + a = b
Choices:
a = 4, e = 6
b = 6, e = 2
a = 4, c = 6
None
Answer: A
Question: The cost price of a radio is Rs.2400 and it was sold for Rs.2100, find the loss %?
Choices:
12.5%
13%
15%
12.8%
Answer: A
Question: 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.
Choices:
4 days
2 days
8 days
10 days
Answer: A
Question: A fruit shop on its opening in a day, had 400 mangoes and 600 oranges. If 57 percent of the mangoes and 42 percent of the oranges got sold during the day, what percent of the total number of planted fruits were sold ?
Choices:
46.5%
48.0%
49.5%
51.0%
Answer: B
Question: Walking 7/6 of his usual rate, a boy reaches his school 6 min early. Find his usual time to reach the school?
Choices:
28
99
42
66
Answer: C
Question: Which of the following statements is definitely true , if A is the brother of B and C. Q is B's son and R is A's father.
Choices:
A is C's son
A is B's nephew
A is B's niece
A is Q's uncle
Answer: D
Question: A shopkeeper sold an article for Rs 2524.36. Approximately what was his profit percent if the cost price of the article was Rs 2400
Choices:
5%
6%
7%
8%
Answer: A
Question: Sheela deposits Rs. 3800 in bank savings account. If this is 32% of her monthly income. What is her monthly income in?
Choices:
20000
11875
12340
None of these
Answer: B
Question: How many prime numbers between 1 and 100 are factors of 210?
Choices:
4
3
2
1
Answer: A
Question: Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 8) and (8,-2). What is the slope of line m?
Choices:
-1
0
1
2
Answer: C
Question: If n is a 36-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 36
Choices:
I and II only
I ,II and III only
II and III only
III
Answer: B
Question: The second largest prime number is?
Choices:
2
3
4
5
Answer: B
Question: If there are 4 peanuts in a box and Mary puts 2 more peanuts inside, how many peanuts are in the box?
Choices:
9
6
11
12
Answer: B
Question: Two-third of a positive number and 16/216 of its reciprocal are equal. The number is:
Choices:
12/5
1/3
144/25
146/25
Answer: B
Question: A certain car increased its average speed by 5 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 26 miles per hour, how many miles did the car travel in the third 5-minute interval?
Choices:
1.5
2.0
2.5
3.0
Answer: D
Question: A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.50 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?
Choices:
1.20x
1.40x
1.60x
3.20x
Answer: C
Question: There are 27 bicycles and 10 tricycles in the storage area at Stanley's flat building. Each bicycle has 2 wheels and each tricycle has 3 wheels. How many wheels are there in all?
Choices:
84
39
21
11
Answer: A
Question: A grocer has a sale of Rs. 5400, Rs. 9000, Rs. 6300, Rs. 7200 and Rs.4500 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600?
Choices:
s. 1200
s. 5400
s. 4999
s. 5000
Answer: A
Question: A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
Choices:
1:10
1:8
1:4
1:2
Answer: A
Question: The length of a room is 7 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
Choices:
25750
26550
26750
29925
Answer: D
Question: V is the volume of a cylinder; the radius of the cylinder is 4.5. The height of the cylinder is 550% more than the radius. Which of the following is true?
Choices:
300 < V < 500
500 < V < 700
700 < V < 900
900 < V < 1900
Answer: D
Question: (212 + 222 + 232 + ... + 302) = ?
Choices:
2485
2570
3255
none
Answer: B
Question: If k is a positive integer, which of the following must be divisible by 22?
Choices:
(k – 4)(k – 2)(k + 3)(k + 5)
(k – 2)(k + 3)(k + 5)(k + 6)
(k + 1)(k + 3)(k + 5)(k + 7)
(k – 3)(k + 1)(k + 4)(k + 6)
Answer: C
Question: 98 students represent x percent of the boys at a school. If the boys at the school make up 50% of the total school population of x students, what is x?
Choices:
140
220
250
500
Answer: A
Question: What is the sum of the greatest common factor and the lowest common multiple of 72 and 36?
Choices:
220
224
108
284
Answer: C
Question: A shopkeeper sold 30articles at the cost price of 25 articles. Then find the profit% or lost%
Choices:
18%
20% loss
25%
30%
Answer: B
Question: The average marks of a class of 30 students is 30 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
52.9
52.1
48.75
42.5
Answer: C
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
Rs.9700
Rs.9800
Rs.9900
Rs.10000
Answer: D
Question: Eggs are sold in packages of six or eleven only. If Doris bought 62 eggs exactly, what could be the number of large packs Doris bought?
Choices:
2.
3.
5.
4.
Answer: D
Question: A number is said to be prime saturated if the product of all the different positive prime factors of w is less than the square root of w. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 24 seconds, what is the ratio of their speeds?
Choices:
3:1
7:3
3:2
3:4
Answer: B
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
250
300
350
Answer: A
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Choices:
Rs. 8032.50
Rs. 8900
Rs. 8925
None of these
Answer: C
Question: If log10 2=0.30103,find the value of log10 50
Choices:
1.69897
1.99897
0.69897
5.69897
Answer: A
Question: What is the units digit of 2222^(333)*3333^(444)?
Choices:
2
4
6
8
Answer: B
Question: A man has Rs. 528 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
90
95
99
100
Answer: C
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 20 percent of the pack would be outfielder cards?
Choices:
10
6
7
8
Answer: A
Question: A train 200m long passes a standing man in 24 seconds. What is the speed of the train?
Choices:
30km/hr
42km/hr
50km/hr
32km/hr
Answer: A
Question: A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6 kmph
5 kmph
8 kmph
7 kmph
Answer: D
Question: A class consists of 3 boys and 6 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
Choices:
18
36
60
240
Answer: B
Question: How much water must be added to 60 litres of milk at 11⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choices:
12 litres
15 litres
18 litres
None of these
Answer: B
Question: If X represents the product of the first 15 positive integers, then X is not a
multiple of:
Choices:
b) 84
c) 72
d) 57
e) 67
Answer: C
Question: A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 22%. What quantity of whisky is replaced ?
Choices:
2/3
2/5
3/5
4/5
Answer: C
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Choices:
38
40
21
25
Answer: B
Question: In a box of 10 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
5/11
7/15
9/22
12/35
Answer: B
Question: The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?
Choices:
3/4
3/5
4/7
5/3
Answer: A
Question: How many steel rods, each of length 14 m and diameter 4 cm can be made out of 1.76 cm3 of steel?
Choices:
90
100
110
120
Answer: B
Question: The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is?
Choices:
23
31
33
35
Answer: A
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Choices:
1287
125
988
271
Answer: B
Question: A hall is 6 meters long and 6 meters wide. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall (in cubic meters)?
Choices:
100
104
108
112
Answer: C
Question: Rakesh credits 15% of his salary in his fixed deposit account and spends 30% of the remaining amount on groceries. If the cash in hand is Rs.2380, what is his salary?
Choices:
Rs.4000
Rs.4500
Rs.5000
None
Answer: A
Question: Merry and Michelle play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. Michelle plays first, giving Merry a third of her cards. Merry plays next, and Michelle follows. Then the game ends. Merry ended up with 28 more cards than Michelle. How many cards did each player have originally?
Choices:
27
54
36
38
Answer: B
Question: For all positive integers f, f◎ equals the distinct pairs of positive integer factors. For example, 16◎ =3, since there are three positive integer factor pairs in 16: 1 x 16, 2 x 8, and 4 x 4.
What is the greatest possible value for f◎ if f is less than 100?
Choices:
6
8
9
10
Answer: A
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
Choices:
3/31
4/41
5/31
8/21
Answer: D
Question: In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (3,-1), (3, 8), (14, 2), (14,-5)?
Choices:
88
100
112
124
Answer: A
Question: It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
Choices:
30
20
15
40
Answer: A
Question: A company consists of 5 senior and 3 junior staff officers. If a committee is created with 3 senior and 1 junior staff officers, in how many ways can the committee be formed?
Choices:
30
45
80
200
Answer: A
Question: A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 20 minutes. In how much time will he be able to take all the five tablets?
Choices:
1 hour
1 hour 20 min
None
Cannot be determined
Answer: B
Question: The cost of cultivating a square field at the rate of Rs.135 per hectare is Rs.1215. The cost of putting a fence around it at the rate of 75 paise per meter would be :
Choices:
Rs.810
Rs.900
Rs.1800
Rs.1900
Answer: B
Question: You have been given a physical balance and 7 weights of 45, 50, 53, 46, 52, 46 and 80 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 188 kgs.
Choices:
185
182
184
181
Answer: A
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?
Choices:
240
208
112
102
Answer: A
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
24
26
28
32
Answer: A
Question: How many of the following numbers are divisible by 132?
264,396,462,792,968,2178,5184,6336
Choices:
4
6
7
89
Answer: A
Question: If the cost price of 12 pens is equal to the selling price of 9 pens, the gain percent is:
Choices:
90%
33%
40%
10%
Answer: B
Question: The sum of the heights of two high-rises is x feet. If the first high rise is 36 feet taller than the second, how tall will the second high rise be after they add an antenna with a height of z feet to the top?
Choices:
2x−(37+z)
(x−36)/2 + z
x/2 - 37 + z
(2x−37)/z
Answer: B
Question: The cost of 2 liters of lube oil is $7. What is the cost of 5 liters of lube oil?
Choices:
17.5
24.0
28.5
30.0
Answer: A
Question: What is the greatest prime factor of 2^8 - 1?
Choices:
13
17
19
23
Answer: B
Question: There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.84 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess?
Choices:
Rs 920
Rs 550
Rs.630
None of these
Answer: C
Question: The sum of the first 50 positive even integers is 2550. What is the sum T of even integers from 102 to 200 inclusive?
Choices:
7550
10100
15500
20100
Answer: A
Question: What is the sum of the odd integers from 35 to 65, inclusive?
Choices:
800
555
600
605
Answer: A
Question: 10% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3213, how much was it in the beginning?
Choices:
B)4200
C)4400
D)4500
E)4600
Answer: A
Question: Two employees X and Y are paid a total of Rs. 528 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.280
s.290
s.299
s.240
Answer: D
Question: A flamboyant comic book villain has abducted a bystander! Captain Valiant is alerted to the crime and reaches the start of the villain's trail 30 minutes later. The villain is in a getaway car going 40 kmph, and Captain Valiant can fly at 50 kmph. How long will the bystander have to wait for rescue?
Choices:
1 1/2 hours
2 hours
2 1/2 hours
3 hours
Answer: C
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Choices:
12
14
16
17
Answer: A
Question: What is the are of an equilateral triangle of side 18 cm?
Choices:
74âˆš3 cm2
81âˆš3 cm2
64âˆš5 cm2
14âˆš3 cm2
Answer: B
Question: A man is 26 years older than his studen. In two years, his age will be twice the age of his student. The present age of his student is:
Choices:
21
22
23
24
Answer: D
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
277
2870
2787
Answer: A
Question: Find the value of X, Y by solving the below equations
X + Y = 15
X - Y = 5
Choices:
10, 5
9, 6
11, 4
12, 3
Answer: A
Question: A juice manufacturer organized taste-testing sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshly-squeezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 64 chose brand C. Which of the following could be the number of customers who preferred brand D?
Choices:
8
14
20
27
Answer: D
Question: John had a stock of 1400 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?
Choices:
36.5%
80.67%
56.5%
80.57%
Answer: D
Question: Find the maximum value of the function f(x)=x−5 if x is a number between -5 and 13.
Choices:
7
8
9
None
Answer: B
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
Choices:
5
4
9
6
Answer: B
Question: Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 60 percent. At the same time, it decreased its total working hours by 30 percent. By what percent did this factory increase its output per hour?
Choices:
228
229.5
220
229
Answer: A
Question: A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 25% impurities to the product. Find the net profit percentage of the dealer?
Choices:
40%
50%
56.25%
36.25%
Answer: C
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
16 2/6%
16 2/3%
16 7/3%
12 2/3%
Answer: B
Question: 5n + 2 > 12 and 7n - 5 < 37; n must be between which numbers?
Choices:
2 and 6
0 and 9
2 and 7
2 and 6
Answer: D
Question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 4 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
Choices:
14
25
27
30
Answer: C
Question: There are 10 balls in a box: 5 balls are green, 3 are blue and 2 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a white ball is selected at random from the box?
Choices:
4/13
3/13
5/13
2/8
Answer: D
Question: Each of the 43 points is placed either inside or on the surface of a perfect sphere. If 16% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Choices:
3
13
23
38
Answer: A
Question: On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 160 is how many times an intensity corresponding to a magnitude of 125?
Choices:
100
400
1000
10 000
Answer: C
Question: Working together, printer M and printer N would finish the task in 24 minutes. Printer M alone would finish the task in 60 minutes. How many pages does the task contain if printer N prints 5 pages a minute more than printer M?
Choices:
450
600
1200
1500
Answer: B
Question: If 'a' and 'b' are non-zero numbers such that their sum is ten times the product, what is the value of 1/a + 1/b?
Choices:
5
10
15
20
Answer: B
Question: Two friends plan to walk along a 22-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 20% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
Choices:
11
12
13
14
Answer: B
Question: 1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is ?
Choices:
63.3%
81.2%
75.4%
69.1%
Answer: A
Question: The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
Choices:
27
72
29
22
Answer: A
Question: Find the odd man out. 18, 16, 12, 24, 11, 34, 46
Choices:
46
16
11
12
Answer: C
Question: Out of a world population of approximately 6.6 billion, 1.2 billion people live in the richer countries of Europe, North America, Japan and Oceania and is growing at the rate of 0.25% per year, while the other 5.4 billion people live in the lees developed countries and is growing at the rate of 1.5%. What will be the world population in 5 years if we assume that these rates of increase will stay constant for the next 5 years. (round answer to 3 significant digits)
Choices:
7.03 billion.
7.04 billion.
7.05 billion.
7.06 billion.
Answer: A
Question: A right triangle AWC has to be constructed in the xy-plane so that the right angle is at A and AW is parallel to x axis. The coordinates of A, W and C are integers and satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. How many different triangles can be constructed with these properties?
Choices:
336
567
3024
5040
Answer: C
Question: At a wedding reception, 125 guests ate chicken and 75 guests ate beef. If exactly 100 guests ate only one of the two types of meat, how many guests ate both types of meat?
Choices:
100
7
4
50
Answer: D
Question: After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago.What is the difference between the ages of the replaced and the new member?
Choices:
4 years
8 years
15 years
25 years
Answer: C
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
Choices:
874
168
578
120
Answer: D
Question: 70 students are required to paint a picture. 52 use green color and some children use red, 38 students use both the colors. How many students use red color?
Choices:
54
55
56
57
Answer: C
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?
Choices:
560
670
800
900
Answer: C
Question: A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is
Choices:
220030
23030
24030
20303
Answer: A
Question: The Racing magic takes 40 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
Choices:
6
9
12
15
Answer: C
Question: Balls are bought at 11 for Rs.10/- and sold at 10 for Rs.11/-. Find the gain or loss percentage?
Choices:
21 % Profit
24 % Profit
31 % Profit
32 % Profit
Answer: A
Question: if there is one larger cube with surface area 600 and no. of smaller cubes with surface area 24.then how many small cubes are required to make a larger cube with surface area of 600?
Choices:
125
4
100
24
Answer: A
Question: In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been considered 20 years less than the actual age, so the new average, after the correction,increased by 1. The value of n is?
Choices:
20
28
17
13
Answer: A