antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $700 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $2,100 higher that M, then what percentage of apartments in the building are two-bedroom apartments?
Choices:
25%
20%
40%
45%
Answer: A
Question: A person purchased a TV set for Rs. 2700 and a DVD player for Rs. 200 . He sold both the items together for Rs. 3180. What percentage of profit did he make?
Choices:
6%
40%
5%
3%
Answer: A
Question: Three cubes of edges 6 cms, 8 cms and 10 cms are meted without loss of metal into a single cube. The edge of the new cube will be:
Choices:
12 cms
14 cms
16 cms
None
Answer: A
Question: The ratio of the ages of Maala and Kala is 1 : 4. The total of their ages is 2.0 decades. The proportion of their ages after 0.5 decades will be
[1 Decade = 10 years]
Choices:
3:4
2:5
7:9
3:6
Answer: B
Question: If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 13 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choices:
46 pounds
92 pounds
130 pounds
146 pounds
Answer: C
Question: Simple interest on a certain sum at a certain annual rate of interest is 1/4 of the sum. If the numbers representing rate percent and time in years be in the ratio 1:4, then the rate of interest is:
Choices:
3 1/2 %.
2 1/2 %.
2 3/4 %.
4 3/4 %.
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:
88
90
42
22
Answer: B
Question: Which of the following fraction is smallest?
Choices:
14/15
15/19
21/24
23/25
Answer: B
Question: A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.2 m and its walls are 5 cm thick. The thickness of the bottom is:
Choices:
2 dm
1 m
1.1 cm
None of these
Answer: A
Question: A classroom has equal number of boys and girls. Eight girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?
Choices:
24
32
48
54
Answer: B
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony twelve hours from now?
Choices:
1,860,000
2,480,000
3,720,000
39,680,000
Answer: D
Question: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 30 runs. Find his average in all the 30 matches?
Choices:
36.67
88
13
12
Answer: A
Question: An investment yields an interest payment of $240 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Choices:
$30,400
$31,300
$32,500
$32,000
Answer: D
Question: Find the value of * in the following
(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7)
Choices:
3.4
3.6
4
4.5
Answer: B
Question: I have to run a 100 meter dash.
How many steps would I need to take if with each step i cover 20 centimeters ?
Choices:
500
50
10
45
Answer: A
Question: Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 33~ ?
Choices:
1
2
8
0
Answer: D
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
265
268
480
261
Answer: C
Question: If the price of sugar rises from Rs.10 per kg to Rs. 12 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
Choices:
17%
25%
30%
none
Answer: A
Question: The average of 20 number is zero of them at the most, how many may be greater than zero ?
Choices:
1
10
19
20
Answer: C
Question: The average of 35 students in a class is 16 years. The average age of 25 students is 14. What is the average age of remaining 10 students?
Choices:
21 years
23 years
24 years
25 years
Answer: A
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
66 days
30 days
77 days
88 days
Answer: B
Question: A man rides at the rate of 40km/hr. But stops 20minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 200 kilometers?
Choices:
6hr 30min
8hr 10min
7hr 20min
9hr
Answer: C
Question: The letters U and S are rearranged to form the word 'US'. Find its probability.
Choices:
1/3
1/2
1/7
1/5
Answer: B
Question: In a nationwide poll, N people were interviewed. If 1/6 of them answered yes to question 1, and of those, 1/2 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions?
Choices:
7N/8
11N/12
17N/24
41N/48
Answer: B
Question: If n is an integer, when (2n + 2)2 is divided by 4 the remainder is
Choices:
0
2
3
4
Answer: A
Question: Given 2x + y + z = 3 and 5x + 3y + z = 11, what is the value of x + y - z?
Choices:
4
5
6
7
Answer: B
Question: A positive number x is multiplied by 2, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
3/2
4/3
2/3
1/2
Answer: A
Question: A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 85, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Choices:
75
76
77
78
Answer: C
Question: A man sells an article at a gain 15%. If he had bought it at 10% less and sold it for 9 less, he would have gained 25%. Find the cost price of the article.
Choices:
160
170
180
360
Answer: D
Question: Which of the following is equivalent to the pair of inequalities x + 8 > 10 and x - 4 <= 5 ?
Choices:
2 <= x < 4
2 < x <= 9
4 < x <= 8
4 <= x <= 16
Answer: B
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
0
10
19
None
Answer: A
Question: Ratio between Rahul and Deepak is 4:3, After 10 Years Rahul age will be 26 years. What is Deepak present age
Choices:
12
20
22
23
Answer: A
Question: The number N is 5,3H7, where H represents the ten's digit. If N is divisible by 9, what is the value of H?
Choices:
3
5
8
2
Answer: A
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word MANGO could be arranged to create a five-letter code?
Choices:
5!
5! − (3! × 2!)
5!/(3! + 2!)
5!/(3! × 2!)
Answer: A
Question: If x < y < 0, which of the following must be true?
Choices:
(-x)+ (-y) is positive integer
x-y is a positive integer
2xy/3x is a negative integer
xy/2
Answer: A
Question: The average age of a class of 22 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
31 Years
33 Years
34 Years
49 Years
Answer: B
Question: Given that a is the average (arithmetic mean) of the first seven positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?
Choices:
8:13
5:6
13:10
4:3
Answer: A
Question: If the sum of 9 consecutive integers is 90, what is the sum of the following 9 consecutive integers?
Choices:
135
145
171
180
Answer: C
Question: Question:	A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $180. The cost for 1 bat and 6 balls is $190, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $195 for the purchase?
Options:
Choices:
2
3
4
5
Answer: B
Question: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 18 households had a both a car and a bike and 44 had a car, how many had bike only?
Choices:
35
20
18
10
Answer: A
Question: In what time will Rs.4200 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
8 1/6
8
8 1/2
8 1/5
Answer: B
Question: A thief steels a car at 2.30p.m. and drives it at 60kmph. The theft is discovered at 3p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief?
Choices:
5p.m.
4p.m.
7p.m.
3p.m.
Answer: A
Question: (1/36)+(1/37)+……+(1/66)+(1/67) is including in which of the following ranges?
Choices:
1
1~ 2
3
1/2~1
Answer: D
Question: B completes a work in 3 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
Choices:
2.31 days
5.31 days
6.31 days
7.31 days
Answer: A
Question: The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Choices:
1267
1750
2267
1262
Answer: B
Question: How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
Choices:
360
120
240
60
Answer: D
Question: The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Choices:
16
20
24
25
Answer: A
Question: If the function Q is defined by the formula Q = 5e/(4x(z^2)), by what factor will Q be multiplied if e is quadrupled, x is doubled, and z is tripled?
Choices:
2/9
4/9
3/9
2/27
Answer: A
Question: The greatest common factor of two numbers is 6!. Which of the following can be the second number, if one of the numbers is 8!?
Choices:
4(5!)
5(5!)
6(6!)
7(5!)
Answer: C
Question: if the ratio of simple interest on certain sum with same rate is 4:3.what is the ratio of time.
Choices:
6:5
5:4
4:3
2:3
Answer: C
Question: The average of the first five prime numbers greater than 20 is:
Choices:
32.2
31.22
32.27
32.28
Answer: A
Question: 4623.186 is rounded off to the nearest thousand, hundred, ten and one. Let the results be represented with the alphabets r,s,t,u respectively. which of the statements below is accurate?
Choices:
u<t<s<r
s<r<u<t
s<u<t<r
s<t<u<r
Answer: D
Question: Four numbers are in the ratio 2:3:4:5 add up to give a sum of 1344. Find the biggest number.
Choices:
480
270
282
112
Answer: A
Question: A gardener increased the length of a rectangle-shaped garden by 20 percent and decreased its width by 10 percent. The area of the new garden
Choices:
has increased by 12 percent
has increased by 8 percent
is exactly the same as the old area
cannot be expressed in percentage terms without actual numbers
Answer: B
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:
2.5
3
3.5
None
Answer: B
Question: On a trip, a cyclist averaged 9 miles per hour for the first 18 miles and 10 miles per hour for the remaining 12 miles. If the cyclist returned immediately via the same route and took a total of 7.2 hours for the round trip, what was the average speed (in miles per hour) for the return trip?
Choices:
7.2
7.5
7.8
8.1
Answer: B
Question: The cricket team of 11members is 28yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Choices:
22
23
25
28
Answer: C
Question: If the sides of a triangle are 30 cm, 28 cm and 12 cm, what is its area?
Choices:
112 cm2
776 cm2
666 cm2
168 cm2
Answer: D
Question: A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 30 speak English well, while 40 of them do not speak English. If 86% of students do not speak French, how many students were surveyed?
Choices:
500
250
350
525
Answer: A
Question: The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is:
Choices:
107
111
112
113
Answer: B
Question: When positive integer x is divided by 6, the remainder is 1. Which of the following must be true?
I. x is a prime number
II. x is odd
III. x is divisible by 7
Choices:
II only
III only
I and II only
II and III only
Answer: A
Question: Rs.8000 become Rs.8988.80 in a certain interval of time at the rate of 6% per annum of C.I. Find the time?
Choices:
8 years
9 years
3 years
2 years
Answer: D
Question: If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 45. By how much do the two digits differ?
Choices:
4
5
6
7
Answer: B
Question: Veena ranks 73rd from the top in a class of 198. What is her rank from the bottom if 22 students have failed the examination?
Choices:
104
110
90
93
Answer: A
Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Choices:
20
40
50
60
Answer: A
Question: Which of the following has 60^80 as a factor?
Choices:
30^40
120^80
60^60
90^80
Answer: B
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word TIE could be arranged to create a three-letter code?
Choices:
3!
3! − (2!)
3!/(3! + 2!)
3!/(3! × 2!)
Answer: A
Question: ----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 150 students answered yes only for subject M, how many of the students did not answer yes for either subject?
Choices:
250
300
400
500
Answer: A
Question: In 1982 and 1983, Company B’s operating expenses were $10.0 million and $12.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ?
Choices:
16 2/3%
25%
21 3/7%
60%
Answer: C
Question: A car travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?
Choices:
71.11
71.1
71.17
71.13
Answer: A
Question: Two terms are in 3 : 4, if 10 is added to each of the terms, they will be 4 : 5. Find second term?
Choices:
30
20
40
35
Answer: C
Question: How many different ways can you select a pilot and a co pilot if you have 70 people to choose from?
Choices:
200
398
4950
4830
Answer: D
Question: We have 36kg flour and 60kg sugar in stock and we would like to use the minimum number of packs that would have the same weight for both flour and sugar. How much more sugar is required if we would like to full 10 packs either of flour or sugar?
Choices:
18
20
24
30
Answer: C
Question: You are visiting your friend. When you walk in her room, you find that there are seven girls. Each of the seven girls have seven bags which consist of 7 adult cats each. Now, each of the adult cat has seven little cats as well along with them.
We know that each cat has four legs, can you find out the total number of legs in the room?
Choices:
23578
10992
14728
11092
Answer: B
Question: A and B together have Sterling 1260. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Choices:
Sterling 484
Sterling 550
Sterling 504
None
Answer: C
Question: In a shop 80% of the articles are sold at a profit of 10% and the remaining at a loss of 40%.what is the overall profit/loss?
Choices:
10% loss
15% profit
no profit, no loss
none
Answer: C
Question: Some ladies can do a piece of work in 12 days. Two times the number of such ladies will do half of that work in :
Choices:
4 days
12 days
3 days
7 days
Answer: C
Question: A bus can hold 108 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
Choices:
2
9
25
26
Answer: B
Question: The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
Choices:
(mb + bc)/ (m + n) years
(mb + nc)/ (m + n) years
(nb + nc)/ (m + n) years
(mb + nb)/ (m + n) years
Answer: B
Question: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes?
Choices:
10.25%
10.85%
30.25%
10.15%
Answer: A
Question: Two numbers are less than third number by 32% and 37% respectively. How much percent is the second number less than by the first
Choices:
10%
9%
11%
14%
Answer: D
Question: A train 3000 m long can cross an electric pole in 120 sec and then find the speed of the train?
Choices:
90
100
105
110
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800 cm
167 cm
765 cm
167 cm
Answer: A
Question: x and y are positive integers. If xy + 4x is odd, then which of the following must be even?
Choices:
y
x + y
xy − x
y+4
Answer: D
Question: By selling 200 apples, a fruit-seller gains the selling price of 50 apples. Find the gain percent?
Choices:
33.33%
27.75%
35.75%
32.25%
Answer: A
Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). In a weekly range of temperature recorded at a certain weather station differed by 25 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Choices:
b) 13
c) 25
d) 45
e) 81
Answer: A
Question: Pipe A can fill a tank in 10 hours, pipe B in 20 hours, and pipe C in 60 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
6
8
9
10
Answer: A
Question: A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 35%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available?
Choices:
25%
33.33%
40%
30%
Answer: D
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
55
77
83
75
Answer: D
Question: If two of the four expressions x+y, x+5y, x-y, and 5x-y are chosen at random, what is the probability Q that their product will be of the form of x^2-(by)^2, where b is an integer?
Choices:
Q=1/3
Q=1/4
Q=1/5
Q=1/6
Answer: D
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
40
38
27
211
Answer: A
Question: A boat running downstream covers a distance of 20 km in 2 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?
Choices:
7
8
9
1
Answer: A
Question: A man sells a car to his friend at 12% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
Choices:
Rs.31136.36
Rs.51136.36
Rs.61136.36
None of these
Answer: B
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 5500, the number of valid votes that the other candidate got, was:
Choices:
1980
2900
2200
2300
Answer: A
Question: How many meters are there in 330 centimeters?
Choices:
3.3 meters
100 meters
3.5 meters
3 meter
Answer: A
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
47
83
84
Answer: A
Question: The sum of the mean, the median, and the range of the set {1,2,3} equals which one of the following values?
Choices:
4
5
6
7
Answer: C
Question: The speed of light is approximately 1,86 * 10^4 miles per second. This approximate speed is how many miles per hour?
Choices:
6,70 * 10^7
1,11 * 10^8
1,86 * 10^8
6,70 * 10^8
Answer: A
Question: A train 280 m long is running at a speed of 54 km/hr. In what time will it pass a bridge 200 m long?
Choices:
32 sec
45 sec
18 sec
49 sec
Answer: A
Question: If 4/(a - 5) = 5/(a + 5), then a = ?
Choices:
45
35
55
50
Answer: A
Question: In August,a cricket team that played 120 matches won 26% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average?
Choices:
52
65
80
98
Answer: B
Question: A person can walk at a constant rate of 8mph and can bike at a rate of 16mph. If he wants to travel 72 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk?
Choices:
30
48
56
72
Answer: C
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
S
P
Q
Answer: A
Question: What is the units' digit of the following expression (11)^5*(1)^3*(21)^5?
Choices:
1
3
5
9
Answer: A
Question: By selling 28 metres of clothes, a shopkeeper gains the price of 3 metres of clothes. His gain per cent is
Choices:
15%
14%
13%
12%
Answer: D
Question: The sum of three consecutive odd natural numbers, each divisible by 3 is 87. What is the largest among them?
Choices:
24
27
32
45
Answer: C
Question: The current ofa stream runs at the rate of 2 km/hour. A motor boat goes 10 km upstream & back again to the starting point in 55 min. Find the speed of the motor boat in still water?
Choices:
22 km/hr
28 km/hr
30 km/hr
34 km/hr
Answer: A
Question: Which of the following is the median number of goals scored per student?
Choices:
1
2
3
None of the above
Answer: A
Question: A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2. The total values of coins are 840. Then find the total number of coins
Choices:
240
260
280
340
Answer: C
Question: In his pocket, a boy has 3 red marbles, 4 blue marbles, and 5 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
Choices:
8
9
10
11
Answer: C
Question: A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was :
Choices:
Rs.2700
Rs.2200
Rs.1800
Rs.2100
Answer: A
Question: If 1/(x+2)+1/(x-2)=1/(x+2), what is the value of x?
Choices:
2
1
-2
0
Answer: C
Question: A train after traveling for 50km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late . Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. What is the speed Q of the train.
Choices:
b) 33
c) 48
d) 55
e) 61
Answer: B
Question: If a survey shows that 40 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
Choices:
64%
80%
82%
86%
Answer: B
Question: Evaluate: 2344 - 12*3*2 =?
Choices:
2337
3327
5457
7677
Answer: A
Question: Total of the ages of A, B ahd C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2: 3. What is the age of B at present
Choices:
30
45
60
65
Answer: A
Question: A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time W it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?
Choices:
0.8 + 0.0025y
80/y – 1.25
80/1.25y
80 – 0.25y
Answer: A
Question: Set M contains number that satisfy the condition that, if integer x is in the set then x + 2 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M?
I) -6
II) -2
III) 2
Choices:
II only
I and II only
II and III only
I, II and III
Answer: C
Question: What is the HCF of 2/3, 4/12 and 6/5
Choices:
2/45
4/15
1/30
9/45
Answer: C
Question: n a Festival season Director informed his 20 staffs with their family to go for a one day tour. Package for one day is 750/- Some staffs are married and some are unmarried and some having their Kids. Director & 8 staffs are married with 2 kid each. What is the total package:
Choices:
38000
45000
33000
36000
Answer: D
Question: From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 3, what is the probability that the 2 numbers included the number 1?
Choices:
2/5
1
3/5
1/4
Answer: B
Question: Each family in a locality has atmost two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls and more girls than families. Then the minimum possible number of families in the locality is
Choices:
5
2
3
1
Answer: C
Question: A runs twice as fast as B and gives B a start of 50m.How long should the racecourse be so that A and B might reach in the same time?
Choices:
80 m.
150 m.
100 m.
None of the above
Answer: C
Question: An inspector rejects 0.08% of the meters as defective, How many meters he examine to reject 2 meteres
Choices:
1400
2400
2500
2600
Answer: C
Question: At 3:00 pm, a car has driven 10 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?
Choices:
b) 11
c) 12
d) 20
e) 14
Answer: C
Question: The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 60/kg. how much did a kg of coffee cost in june ?
Choices:
60
80
100
120
Answer: A
Question: A women buys an article and sells it at a profit of 20%. If she had bought it at 20% less and sold it for $75 less, she could have gained 25%. What is the cost price?
Choices:
424
375
273
429
Answer: B
Question: If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio W of the resistors’ sum of A and C to the resistors’ sum of A and B?
Choices:
2(R1+R2):(R1+2R2)
(2R1+R2):(R1+2R2)
2(R1+R2):(2R1+R2)
2(R1-R2):(R1+2R2)
Answer: A
Question: A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 50 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne?
Choices:
1 hour 20 minutes
2 hours 30 minutes
1 hour 40 minutes
2 hours 10 minutes
Answer: A
Question: A train of 24 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 mins
7 mins
9 mins
2 mins
Answer: A
Question: The area of a circular field is 17.56 hectares. Find the cost of fencing it at the rate of Rs. 4 per metre approximately
Choices:
4567
5943
4547
4675
Answer: B
Question: If n is a natural number, then (6n2 + 6n) is always divisible by:
Choices:
Both 6 and 12
12 only
None of these
Cannot be determined
Answer: A
Question: A train 150 m long is running at a speed of 62 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
10 sec
12 sec
18 sec
15 sec
Answer: A
Question: There are how many hours between x minutes past 12 noon and 8:10 p.m. of the same day, where x < 60?
Choices:
(490-x)/60
(470-x)/60
60 (60 – x + 7)
60 (60 – x + 17)
Answer: A
Question: P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?
Choices:
16
29
14
12
Answer: A
Question: If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 60 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
Choices:
120
140
150
160
Answer: A
Question: A BISCUIT manufacturer produces 300 units of a certain model each month at a cost to the manufacturer of £30 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £30,000?
Choices:
330
220
440
550
Answer: A
Question: 210 college students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
Choices:
40
50
60
75
Answer: A
Question: Magnabulk Corp sells boxes holding d magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, if Magnabulk charges m dollars for each crate?
Choices:
100m/(bd)
bd/(100m)
m/(bd)
bd/m
Answer: C
Question: The overall age of X and Y is 12 year greater than the overall age of Y and Z. Z is how many decades younger that X?
Choices:
15
12
17
19
Answer: B
Question: In the formula V = (4r)^2, if r is halved, then V is multiplied by
Choices:
8
1/4
1/8
1/64
Answer: B
Question: Find √? /11= 4 ?
Choices:
1936
1304
1296
None
Answer: A
Question: An gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired?
Choices:
0.6976
0.789
0.8356
0.8666
Answer: A
Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 1/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Choices:
1/280
27/280
3/35
7/56
Answer: B
Question: From a group of 3 MEN and 3 WOMEN, 4 ADULTS are to be randomly selected. What is the probability that equal numbers of men and women will be selected?
Choices:
2/5
3/5
4/5
1
Answer: B
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get ?
Choices:
57%
65%
90%
None of these
Answer: A
Question: (160)^2 - (161)^2 =
Choices:
100
229
323
349
Answer: C
Question: Find the area of a parallelogram with base 28 cm and height 32 cm.
Choices:
384
345
244
896
Answer: D
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 400-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?
Choices:
3,300
2,108
2,124
2,256
Answer: A
Question: A bike covers a certain distance at the speed of 62km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Choices:
82.66 km/h
87.67 km/h
90.25 km/h
90.64 km/h
Answer: A
Question: A restaurant meal cost $75 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$85 and $90
$83 and $87
$82 and $87
$81 and $87
Answer: D
Question: Cindy paddles her kayak upstream at c kilometers per hour, and then returns downstream the same distance at n kilometers per hour. How many kilometers upstream did she travel if she spent a total of p hours for the round trip?
Choices:
cn/p
(c + n)/p
cnp/(c + n)
pm/n- pn/m
Answer: C
Question: Three workers have a productivity ratio of 2 to 4 to 8. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
Choices:
20 to 3
5 to 1
1 to 6
1 to 5
Answer: A
Question: There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:D will be?
Choices:
1 : 2
5 : 7
6 : 11
5 : 3
Answer: A
Question: If (y - 1)(z - 3) + 5(y - 1) = 0, then which of the following must be true?
Choices:
y = 4 or z = -3
y = -4 or z = 3
y = 1 and z = 3
y = -1 or z = 3
Answer: C
Question: Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?
Choices:
32 years, 23 years
35 years, 29 years
35 years, 33 years
35 years, 34 years
Answer: A
Question: In expressing a length of 81.472 km as nearly as possible with the three significant digits, find the percentage error
Choices:
0.34%
0.034%
0.035%
None of these
Answer: B
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10 kmph
65 kmph
55 kmph
14 kmph
Answer: A
Question: Excluding stoppages, the speed of a bus is 60 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
12 min
18 min
20 min
15 min
Answer: D
Question: There are 400 wolfs at a large zoo. The number of wolfs is 4 times the number of all the other animals combined. How many more wolfs are there than non wolfs animals at the zoo?
Choices:
420
400
390
350
Answer: C
Question: Which of the following is not a leap year?
Choices:
800
700
2000
None of these
Answer: B
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 11?
Choices:
1/18
2/11
3/13
1/5
Answer: A
Question: Find the odd man out. 1, 3, 9, 12, 19, 29
Choices:
12
1
3
19
Answer: A
Question: A certain number of men can do a work in 65 days working 6 hours a day. If the number of men are decreased by one-fourth, then for how many hours per day should they work in order to complete the work in 40 days?
Choices:
12
14
13
15
Answer: C
Question: In a certain college, 20% of the boys and 40% of the girls attended the annual college outing. If 35% of all the students are boys, what percent of all the employees went to the outing?
Choices:
33%
35%
36%
37%
Answer: A
Question: A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
Choices:
9 3/5
4 1/6
7 7/12
8 6/7
Answer: A
Question: If |4x+6| = 46, what is the sum of all the possible values of x?
Choices:
-2
4
-5
6
Answer: A
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 60 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
28 1/7 min
15 min
17 1/8 min
17 5/7 min
Answer: B
Question: Mr. David manufactures and sells a single product at a fixed price in a niche market. The selling price of each unit is Rs. 30. On the other hand, the cost, in rupees, of producing x units is 240 + bx + cx2, where b and c are some constants. Mr. David noticed that doubling the daily production from 20 to 40 units increases the daily production cost by 66.66%. However, an increase in daily production from 40 to 60 units results in an increase of only 50% in the daily production cost. Assume that demand is unlimited and that Mr. David can sell as much as he can produce. His objective is to maximize the profit.
How many units should Mr. David produce daily ?
Choices:
100
70
150
None of these
Answer: A
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1356
1567
1546
1635
Answer: D
Question: In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room ?
Choices:
340
300
310
330
Answer: A
Question: A boy & a girl appear for an interview against 2 vacant posts in an office. The probability of the boy's selection is 1/5 and that of the girl's selection is 1/3. What is the probability that only 1 of them is selected?
Choices:
2/5
2/7
3/8
4/9
Answer: A
Question: Find the no.of ways of arranging the boy and 9 guests at a circular table so that the boy always sits in a particular seat?
Choices:
8!
7!
9!
11!
Answer: C
Question: Otto and Han are driving at constant speeds in opposite directions on a straight highway. At a certain time they are driving toward each other and are 50 miles apart. One and a half hours later, they are again 50 miles apart, driving away from each other. If Otto drives at a speed of x miles per hour, then, in terms of x, Han drives at a speed of how many miles per hour?
Choices:
a) 66.67-x
c) 80-2x
d) 120-x
e) 40-x/2
Answer: A
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 150 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choices:
2765
5800
2989
9772
Answer: B
Question: A and B are 90 km apart they start to move each other simultaneously A at speed 10 and B at 5 km/hr if every hour they double their speed what is distance that A pass until he meet B?
Choices:
40 km
50 km
60 km
70 km
Answer: C
Question: For all numbers u and v, the operation @ is defined by u@v = u^2 - uv. If xy ≠ 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y)
Choices:
I and II
I and III
II and III
All of the above
Answer: A
Question: If the product of all the unique positive divisors of n, a positive integer which is not a perfect cube, is n^2, then the product of all the unique positive divisors of n^2 is
Choices:
n^4
n^6
n^8
n^9
Answer: D
Question: Based on this year's costs, an orchard grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to decrease 50% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be:
Choices:
200% less than N
Equal to N
100% greater than N
200% greater than N
Answer: C
Question: If S = {1, 2, 3, 4, 5, 6, 7}, how much less is the mean of the numbers in S than the median of the numbers in S?
Choices:
0
2
3
4
Answer: A
Question: If x/y is an integer, which of the following must also be not an integer?
I. xy
II. y/x
III. x
Choices:
II alone
III alone
I, II and III
None of the above
Answer: C
Question: In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Chuck and Bob are not seated next to each other?
Choices:
48
72
74
96
Answer: B
Question: Bottle R contains 250 capsules and costs $8.25. Bottle T contains 130 capsules and costs $2.99. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T?
Choices:
$0.01
$0.05
$0.03
$0.002
Answer: A
Question: In the rectangular coordinate system, what is the area of triangle CDE with points
C=(7,2)
D=(3,9)
E=(1,4)
Choices:
17
18
19
15
Answer: A
Question: I bought two books; for Rs.460. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280.33
299.33
268.33
289.33
Answer: C
Question: The train travels at an average speed of 16km/h, to the top of the hill where the midpoint of the trip is. Going down hill, train travels at an average speed of 8km/h. Which of the following is the closest approximation of train's average speed, in kilometers per hour, for the round trip?
Choices:
10.6
4.3
2.5
5.3
Answer: A
Question: If 25% of x is 15 less than 15% of 1500, then x is?
Choices:
765
865
840
847
Answer: C
Question: What is the least number of square tiles required to pave the floor of a room
15 m 17 cm long and 9m 2 cm broad?
Choices:
814
836
900
1000
Answer: A
Question: 2 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
30/11 days
82/8 days
22/76 days
22/2 days
Answer: A
Question: A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days Q will the work get over?
Choices:
Q=70
Q=75
80
100
Answer: B
Question: R-R-R-G-G-G-G-Y-Y-Y-B-R-R-R-G-G-G-G-Y-Y-Y-B… B-R-R
The preceding is a representation of the different colored beads on a string. The beads follow a repeating pattern and the colors Red, Green, Yellow, and Blue are represented by R, G, Y, and B respectively. Which of the following is a possible number of beads in the missing section of the string represented above?
Choices:
65
66
67
68
Answer: A
Question: If 20 men can build a wall 66 metres long in 10 days, what length of a similar can be built by 86 men in 8 days?
Choices:
227.04 mtrs
478.4 mtrs
488.4 mtrs
578.4 mtrs
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 49 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
88
65
55
22
Answer: B
Question: Three coworkers P , W , R meet for Dinner. P had 5 sandwiches, W had 3 and R had none. Both PW share their sandwiches with R such that each one got the same amount. If R paid $ 8 to PW, how much of $ 8 should P get? Assume both sandwiches and Dollars can be split.
Choices:
b) 3 $
c) 7 $
d) 4 $
e) 5.5 $
Answer: B
Question: A company’s four cars running 10 hrs a day consume 1200 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 25% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days?
Choices:
1555 lt
1674 lt
1728 lt
4800 lt
Answer: B
Question: For integers x, y, and z, if (3^x) (4^y) (5^z) = 52,428,800,000 and x + y + z = 17, what is the value of xy/z?
Choices:
0
4
6
8
Answer: A
Question: An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?
Choices:
1/5
1/5
3/7
2/7
Answer: C
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
31.4
31.6
31.1
31.2
Answer: B
Question: Mary's income is 60 percent more than Tim's income, and Tim's income is 60 percent less than Juan's income. What percent of Juan's income is Mary's income?
Choices:
64%
96%
80%
64%
Answer: A
Question: A work crew of 6 Men takes 8 days to complete one-half of a job. If 9 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
Choices:
3
3 1/5
4
4 4/5
Answer: B
Question: George can do a piece of work in 8 hours. Paul can do the same work in 10 hours, Hari can do the same work in 12 hours. George, paul and hari start the same work at 9 am, while george stops at 11 am, the remaining two complete the work. What time will the work complete?
Choices:
2
3
5
4
Answer: D
Question: A 2-year certificate of deposit is purchased for K dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
Choices:
k(1.06)^8
k(1.015)^2
k(1.015)^8
k(1.03)^4
Answer: C
Question: An air conditioner can coo the hall in 20 minutes while another takes 25 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?
Choices:
about 12 minutes
about 15 minutes
about 16 minutes
about 17 minutes
Answer: A
Question: What is 30% of 210?
Choices:
63
65
67
69
Answer: A
Question: The sum of 2 numbers is 2000. Their L.C.M. is 21879. Their difference is?
Choices:
1978
1945
1862
1789
Answer: A
Question: What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum?
Choices:
278
120
276
298
Answer: B
Question: If the selling price is quadrupled,the profit is pentadruple, what is the percentage of profit??
Choices:
100%
150%
200%
250%
Answer: A
Question: The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 180 runs and his average excluding these two innings is 58 runs, find his highest score.
Choices:
194
269
177
191
Answer: A
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
270
267
278
277
Answer: A
Question: 50% of a number is added to 120, the result is the same number. Find the number?
Choices:
277
240
99
121
Answer: B
Question: A labourer was engaged for 25 days on the condition that for every day, he works, he will be paid Rs. 2 and for every day, he is absent he will be fined 50p. If he receives only Rs. 37•50, find the no. of days he was absent is_____
Choices:
4 days
5 days
6 days
7 days
Answer: B
Question: What is the median from the below series 90, 92, 93, 88, 95, 88, 97, 87, 108and 98
Choices:
93.5
92
98
100
Answer: A
Question: How many numbers are there between 100 and 1000 in which all digits are distinct.
Choices:
648
720
252
729
Answer: A
Question: How many numbers from 10 to 43 are exactly divisible by 3?
Choices:
11
16
17
18
Answer: A
Question: Statements: Prime school-going children in urban India have now become avid as well as more regular viewers of TV, even in households without a TV. As a result there has been an alarming decline inthe extent of readership of newspapers.
Conclusions:
1) Method of increasing the readership of newspapers should be devised.
2) A team of experts should be sent to other countries to study the impact of TV. on the readership of newspapers.
Choices:
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: C
Question: If y > 0, (6y)/20 + (3y)/10 is what percent of y?
Choices:
50%
60%
70%
80%
Answer: B
Question: Of the three- digit integers greater than 700, how many have two digits Q that are equal to each other and the remaining digit different from the other two?
Choices:
82
80
45
36
Answer: B
Question: The average monthly salary of 15 employees in an organisation is Rs. 1800. If the manager's salary is added, then the average salary increases by Rs. 150. What is the manager's monthly salary?
Choices:
Rs.3618
Rs.4200
Rs.3619
Rs.3610
Answer: B
Question: 0, 3, 8, 15, 24, ?
Choices:
35
48
25
50
Answer: A
Question: A rectangular tiled patio is composed of 90 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 90 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Choices:
6
10
11
28
Answer: C