antoine-444/aqua_rat_dataset huggingface dataset:
Question: If n divided by 7 has a remainder of 2, what is the remainder when 2 times n is divided by 7?
Choices:
2
3
4
6
Answer: C
Question: A bag contains 2 red, 3 green and 2 blue balls. 2 balls are to be drawn randomly. What is the probability that the balls drawn contain no blue ball?
Choices:
10⁄21
2⁄7
11⁄21
None of these
Answer: A
Question: If the product of the integers r, s, t and u is 770, and if 1 < r< s< t< u, what is the value of r+ u?
Choices:
13
16
18
21
Answer: A
Question: At 6'o clock clock ticks 6 times. The time between first and
last ticks was 30sec. How much time it takes at 11'o clock.
Choices:
60sec
66sec
64sec
76sec
Answer: A
Question: In how many different R ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Choices:
288
576
10,080
20,160
Answer: B
Question: The integers 1, 2, …, 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number a + b – 1 is written. What will be the sum of the numbers left on the board at the end?
Choices:
821
781
819
780
Answer: B
Question: If December 3rd, 1999 is a Friday, what day is January 7th, 2000?
Choices:
Thursday
Friday
Saturday
Sunday
Answer: B
Question: Find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm.
Choices:
221 cm2
231 cm2
236 cm2
241 cm2
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20 days
66 days
77 days
44 days
Answer: A
Question: The difference between a number and its two-fifth is 45. What is the number?
Choices:
56
88
66
75
Answer: D
Question: What is the total number of prime numbers less than 50?
Choices:
18
19
15
21
Answer: C
Question: What will be the compound interest on Rs. 30000 after 3 years at the rate of 12 % per annum
Choices:
Rs 12147.84
Rs 10123.40
Rs 10123.50
None of these
Answer: A
Question: A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the physics club and 3/4 attend the chemistry club. 3/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.
Choices:
70
60
50
30
Answer: C
Question: In how many different ways can the letter of the word 'JUDGE ' be arranged in such a way that the vowels always come together?
Choices:
48
56
74
25
Answer: A
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 2000, the number of valid votes that the other candidate got, was:
Choices:
900
250
600
800
Answer: A
Question: Set S has a mean of 9 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
Choices:
{16, 16}
{9, 11}
{7, 13}
{10, 18}
Answer: D
Question: if the ratio of s.i earned on certain amount on same rate is 4:5.what is the ratio of time?
Choices:
6:9
4:5
2:3
not possible to calculate
Answer: B
Question: A man sitting in a train which is traveling at 36 kmph observes that a goods train, traveling in opposite direction, takes 10 seconds to pass him. If the goods train is 240 m long, find its speed
Choices:
50 kmph
58 kmph
62 kmph
72 kmph
Answer: A
Question: If P and Q are positive integers and P = 10Q + 3, what is the remainder when P is divided by 5?
Choices:
1
2
3
4
Answer: C
Question: John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment Q that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Choices:
a. 3/5
c.7/10
d.3/4
e.4/5
Answer: A
Question: Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
Choices:
Rs. 5000
Rs. 6000
Rs. 7000
None
Answer: B
Question: The length of a rectangle is two third of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 4761 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 13 units?
Choices:
598 sq.units
589 sq.units
958 sq.units
985 sq.units
Answer: A
Question: A man is 12 years older than his brother. In two years, his age will be twice the age of his brother. The present age of his brother is:
Choices:
10
22
23
24
Answer: A
Question: P alone can complete a piece of work in 14 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
21/2 days
7 (3/4) days
8/5 days
9 (3/4) days
Answer: A
Question: If 20% of a number = 400, then 120% of that number will be?
Choices:
120
360
2400
2820
Answer: C
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit ?
Choices:
Rs. 560
Rs. 1060
Rs. 960
None of these
Answer: C
Question: Mohan has 8 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 16 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
1/15
1/9
1/10
1/25
Answer: A
Question: Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?
Choices:
81.1
81.2
81.5
81.9
Answer: C
Question: In a class of students, the ratio of girls to boys is 1:2. If 2 more girls joined the class, the ratio would be 2:3. How many students are in the class?
Choices:
18
22
24
26
Answer: A
Question: The ages of two persons differ by 16 years. 8 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
Choices:
20
25
30
32
Answer: D
Question: A dozen eggs and 10 pounds of oranges are currently at the same price. If the price of a dozen eggs rises by 9 percent and the price of oranges rises by 6 %. How much more will it cost to buy a dozen eggs and 10 pounds of oranges .
Choices:
10%
15%
20%
25%
Answer: B
Question: Two children want to walk together to visit their aunt, who lives exactly 9 blocks north and 7 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 16 blocks. How many different 16-block routes may they take to travel the shortest possible distance to their aunt’s house?
Choices:
16*9*7
16!*9!*7!
16!/(9*7)
16!/(9!*7!)
Answer: D
Question: Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
Choices:
99:61
61:160
61:99
99:160
Answer: A
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
Rs. 50,000
Rs. 60,000
Rs. 90,000
Rs. 80,000
Answer: B
Question: If 1/12 of the passengers on a ship are from North America, 1/8 are Europeans, 1/3 are from Africa, 1/6 are from Asia and the remaining 35 people are citizens of other continents, then how many passengers are on board the ship?
Choices:
115
120
125
130
Answer: B
Question: The avg age of an adult class is 40years. 12new students with an avg age of 32years join the class. Therefore decreasingthe avg by 4year. Find what was the original strength of class?
Choices:
12
15
16
19
Answer: A
Question: In a survey about potential presidential candidates A and B, 37% of the public like A and 55% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
Choices:
31%
41%
22%
69%
Answer: A
Question: On a baseball team, 7 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
Choices:
3/5
4/5
3/7
4/7
Answer: C
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Choices:
4
6
8
10
Answer: B
Question: Catherina works 5 hours per day on Monday, Wednesday and Friday, and 10 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $420 per week. How much does she earn in dollars per hour?
Choices:
15
16
12
18
Answer: C
Question: If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+3 ?
Choices:
4
-1
-2
-3
Answer: A
Question: A 300 m long train crosses a platform in 40 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
889
367
234
Answer: C
Question: A certain quantity of 60% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Choices:
1/3
1/2
2/3
5/7
Answer: D
Question: A circular racetrack is 3 miles in length and has signs posted to indicate each 1/10 mile increment. If a race car starts at a random location on the track and travels exactly one half mile, what is the probability that the car ends within a half mile of the sign indicating 2 1/2 miles?
Choices:
3/10
1/3
1/2
2/3
Answer: B
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 48 years now, the son's age five years back was:
Choices:
19 years
33 years
38 years
39years
Answer: A
Question: If the average of 5 positive integers is 70 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
Choices:
52
69
78
84
Answer: C
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2:5
2:2
2:9
2:1
Answer: A
Question: A courtyard is 24 meter long and 14 meter board is to be paved with bricks of dimensions 25 cm by 15 cm. The total number of bricks required is :
Choices:
8000
8960
2000
None of these
Answer: B
Question: At the store, Sam bought a shirt and a toaster. There was a 9% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
Choices:
0.91K – T
0.91(K – 1.09T)
(K – T)/1.09
(K/1.09) – T
Answer: D
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B's share in the total profit of Rs.27,000 earned at the end of 2 years from the starting of the business?
Choices:
Rs.8100
Rs.9500
Rs.10,000
None
Answer: A
Question: How much is 80% of 40 is greater than 4/5 of 25?
Choices:
77
15
12
88
Answer: C
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 65 = x?
Choices:
2
3
4
5
Answer: D
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
Rs.480
Rs.482
Rs.487
Rs.481
Answer: A
Question: The North-South Express is a pair of trains between Jammu and Chennai. A train leaves Jammu for Chennai exactly at 12 noon everyday of the week. Similarly, there's a train that leaves Chennai bound for Jammu on everyday of the week exactly at 12 noon. The time required by a train to cover the distance between Chennai and Jammu is exactly 7 days and 1 minute. Find the number of trains from Chennai to Jammu which a train from Jammu to Chennai would cross in completing its journey, assuming all the trains are on time.
Choices:
8
15
16
17
Answer: B
Question: 0.99998+0.11112=?
Choices:
1.0001
1.0021
1.1111
1.111
Answer: C
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choices:
120 gallons
170 gallons
180 gallons
250 gallons
Answer: A
Question: In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Choices:
24
42
46
48
Answer: A
Question: At present the ratio between the ages of Arun and Deepak is 2:5. After 10 years Arun's age will be 30 years. What is the age of the Deepak?
Choices:
40
50
60
45
Answer: B
Question: Fifthty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 10 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
Choices:
80
100
120
140
Answer: A
Question: How many words of 3 letters can be formed from the letters "AABBCC"?
Choices:
21
24
27
29
Answer: B
Question: Which of the following numbers is not prime?
Choices:
33+88
166-3
100+67
50-7
Answer: A
Question: Which of the following triples of numbers have the same standard deviation as the numbers u, v and w?
I. u-2, v-2, w-2
II. 0, u-v, w-v
III. u-4, v+5, w-1
Choices:
II only
I and III only
II and I only
I, II, and III
Answer: C
Question: AAA manufacturing owns 2 plants. Tikon plant and Mikon plant. The policy is that 50% of all workers get bonuses every year. If the ratio of employees at the plants is 3:2, respectively, and the percentage of employees getting bonuses at Tikon is 55%, what percentage of employees at Mikon get bonuses?
Choices:
42.5%
25.5%
55%
22.5%
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! * 7P1
6! * 7P5
6! * 7P2
Answer: A
Question: A ferry can transport 50 tons of vehicles. Automobiles range in weight from 1,800 to 3,200 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
Choices:
55
48
62
70
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 99 km/hr. What is the length of the platform?
Choices:
440
477
426
422
Answer: A
Question: A certain rectangular crate measures 6 feet by 8 feet by 10 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
Choices:
4
6
8
10
Answer: A
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:
70,10 kmph
70,70 kmph
78,10 kmph
70,12 kmph
Answer: A
Question: In filling a lot with sand, that is 40 m * 20 m * 2m the volumes of the sand filled will be?
Choices:
2200 cu.m
4800 cu.m
1600 cu.m
4000 cu.m
Answer: C
Question: what is the smallest integer that is multiple of 5,7,20
Choices:
35
200
280
140
Answer: D
Question: One student's mark was wrongly entered as 73 instead of 63. Due to that the average marks for the class got increased by 1/3. What is the number of students in the class?
Choices:
30
35
40
45
Answer: A
Question: A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 12 km, if the person completes half of the distance by walking and the other half by running?
Choices:
1.75
2.25
2.75
3.25
Answer: B
Question: The average age of a class is 15.8 years. The average age of boys in the class is 16.4 years while that of girls is 15.4 years. What is the ratio of boys to girls in the class?
Choices:
3:4
3:5
2:3
None of these
Answer: C
Question: When positive integer n is divided by 3, the remainder is 1. When n is divided by 5, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 15?
Choices:
2
6
8
10
Answer: A
Question: How many three-digit integers exist such that all their digits are
odd?
Choices:
100
120
125
135
Answer: C
Question: A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights 8g/cm cube, then find the weight of the pipe.
Choices:
3.696 kg
2.696 kg
2.686 kg
None of these
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
Rs. 6721
Rs. 6725.
Rs. 4298
Rs. 6729
Answer: B
Question: Two cards are selected at random from 10 cards numbered 1 to 10. Find the probability that the sum is odd if two cards are drawn together.
Choices:
88
77
19
17
Answer: B
Question: A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
Choices:
58 kmph
62 kmph
65 kmph
75 kmph
Answer: B
Question: The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one-half of the males and one-fourth of the females in the class?
Choices:
126
132
138
144
Answer: A
Question: On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
10.5%
12%
13%
None of these
Answer: C
Question: Jonathan can type a 50 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Choices:
10 minutes
15 minutes
18 minutes
20 minutes
Answer: A
Question: A wheel that has 6 cogs is meshed with a larger wheel of 21 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is:
Choices:
10
6
8
7
Answer: B
Question: What is the sum of all the multiples of 9 between 0 and 99?
Choices:
594
450
340
440
Answer: A
Question: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
Choices:
27
20
98
21
Answer: B
Question: A can do a piece of work in 3 hours; B and C together can do it in 6 hours, while A and C together can do it in 9 hours. How long will B alone take to do it?
Choices:
3 5/7 hours
2 4/7 hours
3 8/7 hours
none of the above
Answer: B
Question: If N is a positive integer and 14N/60 is an integer, then N has how many different positive prime factors?
Choices:
3
5
6
cannot be determined
Answer: D
Question: Calculate the value of 2.71 x 10^9 ?
Choices:
2710000000
2710000
27100000
271000000
Answer: A
Question: A is thrice good a workman as B and therefore is able to finish a job in 60 days less than B. Working together they can do it in?
Choices:
22 ½
25
30
40
Answer: A
Question: If s=(10^10)-47, what is the sum of all the digit of s?
Choices:
45
50
55
80
Answer: D
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Choices:
23 (2/9)m
27 (7/9)m
29 m
28 m
Answer: B
Question: If the product of all the factors of a positive integer, N, is 2 ^ 18 * 3 ^ 12, how many values can N take?
Choices:
1
2
3
4
Answer: A
Question: Ramya took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If she paid Rs.686 as interest at the end of the loan period, Find the rate of the interest?
Choices:
6%
4%
3%
7%
Answer: D
Question: MAN1 is 30% more efficient than MAN2. How much time will they, working together, take to complete a job which MAN1 alone could have done in 23 days?
Choices:
12 days
13 days
14 days
15 days
Answer: B
Question: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
Choices:
500
600
530
630
Answer: A
Question: The cross-section of a water channel is a trapezium in shape. If the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 990 square meters, what is the depth of the channel (in meters)?
Choices:
60
70
80
90
Answer: D
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
12 years
5 years
3 years
24 years
Answer: C
Question: There are 6 gentlemen and 3 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together.
Choices:
3640
2880
3880
88600
Answer: B
Question: A regular octagon is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
Choices:
54 degrees
67.5 degrees
84 degrees
108 degrees
Answer: B
Question: Given distinct positive integers 1, 10, 3, x, 2, and 9, which of the following could be the median?
Choices:
4
7
8
9
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 36 kmph. In how much time will the trains cross each other?
Choices:
13 sec
15 sec
16 sec
17 sec
Answer: C
Question: The sides BC, CA, AB of triangle ABC have 3, 4, 5 interior points respectively on them. How many triangles can be formed using these points as vertices.
Choices:
205
400
410
420
Answer: A
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Choices:
9400
9600
9800
9700
Answer: B
Question: find two integers, neither of which ends in a zero, and whose product is exactly 1,000
Choices:
60 and 15,625
8 and 125
64 and 15,635
64 and 16,625
Answer: B
Question: When x is multiplied by 3, the result is 16 more than the result of subtracting x from 36. What is the value of x?
Choices:
-2
11
13
22
Answer: C
Question: Three vehecle speed ratio 1:2:3 & time ratio 3:2:1...Distance ratio ??
Choices:
3:4:3
3:4:6
3:4:9
3:2:3
Answer: A
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Choices:
Rs. 5600
Rs. 5000
Rs. 4800
None of these
Answer: B
Question: A certain number when divided by 39 leaves a remainder 15, what is the remainder when the same number is divided by 13?
Choices:
8
9
6
2
Answer: D
Question: What will be the reminder when (19^19+19) is divided by 20?
Choices:
18
21
43
28
Answer: A
Question: 8 liters of solution is removed from 20% milk solution and 8 liters of water is added to the solution. The resulting solution has 16% milk in it. What was the initial quantity of the 20% milk solution?
Choices:
40
60
70
80
Answer: A
Question: The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 8748 sq. m, the cost of fencing the field @ 25 paise per metre is
Choices:
Rs. 67.50
Rs. 86.50
Rs. 94.50
None of these
Answer: C
Question: Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temparature of the particular day is 35°C , it is equal to :
Choices:
95Â°F
96Â°F
97Â°F
None of these
Answer: A
Question: In a garden, trees are planted in rows. In each row there are as many trees as the number of rows in the garden. Each tree bears as many fruits as the number of trees in each row, and each fruit has as many seeds as the number of trees in each row. If the total number of seeds from the trees in that garden is n, then :
Choices:
n is a perfect square
n is an even number
n is a perfect cube.
none
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
4 sec
2 sec
9 sec
Answer: A
Question: A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^12 and 5^15, respectively, what is the value of A?
Choices:
-25(5^12)
-24(5^6)
23(5^12)
24(5^12)
Answer: A
Question: How many positive factors do 160 and 96 have in common?
Choices:
6
16
18
24
Answer: A
Question: An engineer undertakes a project to build a road 10 km long in 15 days and employs 30 men for the purpose. After 5 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Choices:
20
25
28
30
Answer: D
Question: 13 ltr of water is added with 11 ltr of a solution containing 16%of alcohol in the water. The %of alcohol in the new mixture is?
Choices:
7.33%
9.67%
11%
11.5%
Answer: A
Question: In how many ways T can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?
Choices:
2. 10!/(8! * 7!)
3. 5!/(3! * 2!)
4. (5!)^3/(3! * 2!)
5. 5!/(8! * 7!)
Answer: C
Question: The number of new words that can be formed by rearranging the letters of the word 'IS' is?
Choices:
7
4
1
3
Answer: C
Question: A shopkeeper has 280 kg of apples. He sells 40% of these at 30% profit and remaining 60% at 30% profit. Find his % profit on total.
Choices:
25%
26%
28%
30%
Answer: D
Question: The captain of a cricket team of 11 members is 25 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
21
23
25
26
Answer: B
Question: When a producer allows 36% commission on retail price of his product, he earns a profit of 8.8%. what would be his profit % if the commision is reduced by 24%?
Choices:
49.6%
50%
48.6%
48%
Answer: A
Question: A certain company charges $20 per package to ship packages weighing less than 5 pounds each. For a package weighing 5 pounds or more, the company charges an initial fee of $20 plus $5 per pound. If the company charged $65 to ship a certain package, which of the following was the weight of the package, in pounds?
Choices:
13
17
19
21
Answer: A
Question: If –6 and 3 are the solutions to the equation x^2 + bx + c = 0, where b and c are constants, what is the value of b + c?
Choices:
–15
–3
3
8
Answer: A
Question: In an election contested by two parties, Party A secured 14% of the total votes more than Party B. If party B got 140,000 votes, by how many votes did it lose the election?
Choices:
36,279
164,000
242,000
303,000
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:
Choices:
5336
5343
5345
5350
Answer: A
Question: A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 50% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Choices:
70%
100%
90%
80%
Answer: B
Question: Tommy's seafood restaurant gets a delivery of fresh seafood every day, 7 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?
Choices:
d + 7cx/100
7d + xc/100
7d + 7xc/100
7cdx
Answer: C
Question: There is a 30% chance that Tigers will not win at all during the whole season. There is a 30% chance that Portugeese will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Portugeese will play during the season?
Choices:
60%
70%
72%
80%
Answer: B
Question: Which of the following is closest to (3!-2!)/(3!+2!)?
Choices:
0.1
0.2
0.5
10
Answer: C
Question: A, Band C enter into a partnership by investing in the ratio of 3 : 2: 4. After 1 year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs.2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find initial investment of each.
Choices:
270000;180000;360000
180000;360000;270000
270000;360000;270000
None of them
Answer: A
Question: The average of a couple was 28Yrs when they were married 15Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 31Yrs now. How old is the
child now ?
Choices:
7 Yrs
3 Yrs
1 Yrs
None of these
Answer: A
Question: When n is divided by 19, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
Choices:
7
10
13
19
Answer: D
Question: Rahim went to a shop and bought things worth Rs. 35, out of which 50 Paise went on sales tax on taxable purchases. If the tax rate was 5%, then what was the cost of the tax free items?
Choices:
21.5
24.5
23.5
22.5
Answer: B
Question: In a games hour 4 different types of players came to the ground? cricket 10, hokey 12, football 16, softball 13. How many players are present in the ground?
Choices:
52
51
49
50
Answer: B
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 12 men
do it ?
Choices:
75 hours
30 hours
62 hours
66 hours
Answer: A
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
77
26
22
Answer: A
Question: Divide $1000 among A,B in the ratio 1:4. How many $ that B get?
Choices:
$800
$1000
$200
$750
Answer: A
Question: John is building a rectangular fence around a garden. The length will be 5 feet shorter than its width. If the total area of the garden is 176 square feet, what is the length of the diagonal (in feet)?
Choices:
Between 19 and 20
Between 20 and 21
Between 21 and 22
Between 22 and 23
Answer: A
Question: There is a single elimination lacrosse tournament, meaning when one player loses, they are out of the tournament. There are 10 teams in the tournament, how many games are played?
Choices:
5
2
9
7
Answer: C
Question: x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b.2*( (10a + b) – (10x + z) )could NOT equal
Choices:
72
48
126
132
Answer: B
Question: The average of 5 numbers is 6.8. If one of the numbers is multiplied by a factor of 2, the average of the numbers increases to 9.2. What number is multiplied by 2?
Choices:
12.0
30.9
40.0
60.0
Answer: A
Question: A certain rectangular crate measures 8 feet by 12 feet by 14 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
Choices:
6
6
8
10
Answer: A
Question: Which is the least number, which, when divided by 12 and 16, leave the same remainder, but is exactly divisible by 11?
Choices:
55
29
12
01
Answer: A
Question: In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
Choices:
37
54
99
01
Answer: B
Question: If Z = 52 and ACT = 48, then BAT will be equal to
Choices:
88
77
46
99
Answer: C
Question: What is the lowest positive integer that is divisible by 1 through 3, inclusive?
Choices:
6
8
18
33
Answer: A
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
21
54
28
32
Answer: B
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price Q per glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.45
Answer: C
Question: A librarian has a set of eight books, including four different books about Abraham Lincoln. The librarian wants to put the eight books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other four books. How many different arrangements of the eight books are possible?
Choices:
(4!)(4!)
(4!)(5!)
(4!)(8!)
(4!)(4!)(8!)
Answer: B
Question: The variables a and b are non-zero integers B. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
Choices:
c is halved.
c is doubled.
c is multiplied by 4.
c is multiplied by 16.
Answer: D
Question: The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 50 terms of this sequence?
Choices:
(1+1/2) – (1/51 +1/ 52)
(1+1/2) +(1/51 +1/ 52)
(1+1/2) – 1/51
(1+1/2) – 1/52
Answer: A
Question: ((7^1/2)^2)
Choices:
49^1/2
7^1/2
7^1/4
7^1/3
Answer: A
Question: An article costing rs.160 is sold at 10% discount on a mark-up price. What is the selling price after
discount?
Choices:
116
126
136
144
Answer: D
Question: All the stocks on the over-the-counter market are designated by either a 3 letter or 4 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
26(26^4)
27(26^3)
26(26^5)
27(26^5)
Answer: B
Question: A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $2.05?
Choices:
1130
1440
1610
1820
Answer: C
Question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 3 strokes ?
Choices:
7/8
1/4
1/8
1/16
Answer: A
Question: 30 men can do a work in 40 days. When should 14 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
16 days
55 days
44 days
22 days
Answer: A
Question: In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 4 and a y-intercept of -4. If the two lines intersect at the point (a,b), what is the sum a+b?
Choices:
1
2
3
4
Answer: A
Question: Jim and Renjee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renjee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win?
Choices:
2/3
1/2
5/12
1/3
Answer: D
Question: A doctor prescribed 24 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
Choices:
9%
50%
12.5%
14.8%
Answer: C
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
10 : 7
13 : 7
14 : 6
13 : 9
Answer: B
Question: 3 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote?
Choices:
14
15
17
19
Answer: B
Question: If p^2 – 8p + 15 = q, and p is a positive integer between 1 and 10, inclusive, what is the probability that q < 0?
Choices:
1/10
2/5
3/5
3/10
Answer: A
Question: A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 5 letters in its codes, and all letters can be repeated in any one code?
Choices:
B.1622654
C.12356630
D.24515230
E.28572218
Answer: B
Question: The food in a camp lasts for 40 men for 40 days. If ten more men join, how many days will the food last?
Choices:
20 days
32 days
50 days
45 days
Answer: B
Question: How many positive integers less than 100 have a reminder 5 when divided by 7?
Choices:
12
13
14
15
Answer: C
Question: If w and y are both odd prime numbers and w < y, how many distinct positive integer factors does 2wy have?
Choices:
4
6
8
12
Answer: C
Question: A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 8 minutes less than they can row it in still water. How long would they take to row down with the stream
Choices:
63 or 12 minutes
76 minutes
19 minutes
25 minutes
Answer: B
Question: In an engineering class that contained 150 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
Choices:
6
10
12
24
Answer: C
Question: A train 500 m long, running with a speed of 180 km/hr will pass a tree in?
Choices:
16 sec
18 sec
10 sec
12 sec
Answer: C
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land twice on heads and twice tails?
Choices:
1/4
1/16
1/32
1/2
Answer: B
Question: Two numbers are in ratio P:Q. when 1 is added to both the numerator and the denominator, the ratio gets changed to R/S. again, when 1 is added to both the numerator and denominator, it becomes 1/2. Find the sum of P and Q.
Choices:
4
5
6
7
Answer: B
Question: An alloy is to contain copper and zinc in the ratio 9:4. The zinc required to be melted with 24kg of copper is?
Choices:
8.3kg
10.7kg
15.5kg
7kg
Answer: B
Question: The speed of a car is 90 km in the first hour and 55 km in the second hour. What is the average speed of the car?
Choices:
72.5 kmph
87 kmph
56 kmph
86 kmph
Answer: A
Question: Find the sum 3/10 + 5/100 + 8/1000 in decimal form ?
Choices:
0.358
3.58
8.35
None
Answer: A
Question: Two numbers are respectively 50% and 100% more than a third number. The percentage that is first of the second is?
Choices:
83%
27%
42%
75%
Answer: D
Question: If 5 shirts can be purchased for 5 dollars, how many shirts can be purchased for 7 dollars?
Choices:
8
7
1
2
Answer: D
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
5 years
6 years
7 years
Answer: C
Question: What is the Units digit of (5!*4! - 3!*5!)/120
Choices:
8
9
4
1
Answer: A
Question: One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.
Choices:
25 %
30 %
27%
32%
Answer: C
Question: There is a escalator and 2 persons move down it.A takes 50 steps and B takes 75 steps while the escalator is moving down.Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps.Find the no. of steps in the escalator while it is staionary?
Choices:
70
80
90
100
Answer: D
Question: Find avrg speed if a man travels at speed of 15km/hr up and 28km/hr dawn at an altitude of 230m.
Choices:
19.5
18.0
12.2
29.8
Answer: A
Question: If a farmer is splitting her crop of apples between her nine customers, how many would be left if she evenly divided the 541 apples?
Choices:
1
5
6
9
Answer: A
Question: A sum of money becomes triple itself in 4 years at simple interest. How many years will it become six times at the same rate?
Choices:
10 years
12 years
14 years
16 years
Answer: A
Question: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 5 percent to salaries, what fraction of its budget remains for other allocations?
Choices:
2/4
3/4
1/5
2/5
Answer: B
Question: If the average of 10 digits is 80 and the average of 6 of them is 58, calculate the average of the remaining 4 numbers?
Choices:
117
116
113
115
Answer: C
Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Choices:
2778
2522
2988
2771
Answer: B
Question: A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 6 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?
Choices:
7 × 6 × 10
21 × 20 × 19
7! + 6! + 10!
7! × 6! × 10!
Answer: A
Question: John had $100 to buy drinks and sandwiches for his birhtday party. He bought 5 small boxes of drinks at $4 each box and 8 boxes of sandwiches at $6 each box. How much money was left after the shopping?
Choices:
$32
$34
$35
$36
Answer: A
Question: If 20% of a = b, then b% of 20 is the same as :
Choices:
4% of a
12% of a
9% of a
1% of a
Answer: A
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m2?
Choices:
15840
27997
15842
15823
Answer: A
Question: A set of numbers contains 7 integers and has an average (arithmetic mean) value as well as a median value of 23. If the largest value is equal to 15 more than 4 times the smallest number, what is the largest possible range for the numbers in the set?
Choices:
35
38
48
75
Answer: C
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 21 revolutions, what will be the number of revolutions made by the larger wheel?
Choices:
12
21
9
22
Answer: C
Question: If the average (arithmetic mean) of a and b is 100, and the average of b and c is 160, what is the value of a − c?
Choices:
−120
100
135
It cannot be determined from the information given
Answer: A
Question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Choices:
180/10
180/13
180/15
180/11
Answer: B
Question: A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find C's share.
Choices:
Rs. 2520
Rs. 2880
Rs. 3360
None of these
Answer: B
Question: A work crew of 4 Men takes 5 days to complete one-half of a job. If 11 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
1 1/3
4
4 4/5
Answer: B
Question: The remainder when 1!+2!+3!...+50! divided by 6! will be
Choices:
153
77
927
19
Answer: A
Question: The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 128,000 locusts?
Choices:
8
4
10
16
Answer: C
Question: Find the face value of 5 in 358946
Choices:
5
500
5000
50000
Answer: A
Question: Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability E that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Choices:
E=9/28
10/28
10/18
11/18
Answer: A
Question: Find the value of (200+ 200/90) × 90
Choices:
18200
17500
16500
13500
Answer: A
Question: Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choices:
1
7
3
8
Answer: A
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 26 seconds, what is the ratio of their speeds?
Choices:
9:1
2:3
3:2
3:4
Answer: A
Question: Three years ago the average age of a family of nine members was 23 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choices:
A)4
C)6
D)7
E)8
Answer: A
Question: If a and b are different positive integers and a + b = b(a + b), then which of the following must be true?
I. b = 1
II. a = 1
III. b < a
Choices:
II only
III only
I and II
I and III
Answer: D
Question: The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 49 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
Choices:
56
57
58
59
Answer: A
Question: The surface of a cube is 24sq cm. Find its volume?
Choices:
8
4
3
1
Answer: A
Question: A sum of Rs.13000 is divided into three parts such that the simple interests accrued on them for two, three and four years respectively may be equal. Find the amount deposited for 4 years.
Choices:
6000
4000
3000
7000
Answer: C
Question: The sum of the present ages of A, B, C is 57 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A?
Choices:
9
10
11
12
Answer: C
Question: Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 754.
Choices:
122 , 124 ,126, 128
120 ,121 , 122 ,123
123 ,125 , 127 ,129
None of these
Answer: A
Question: Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
Choices:
11/P + 6
11/P + 5
11/P + 3
11/P + 1
Answer: A
Question: A camera lens filter kit containing 5 filters sells for $75.50. If the filters are purchased individually, 3 of them are priced at $7.35 each, 3 at $12.05 each, 1 at $12.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
Choices:
6.35%
7.35%
8.35%
9.35%
Answer: A
Question: If the perimeter of a rhombus is 52 cm and one of its
diagonals is 24 cm, then the area of the rhombus is
Choices:
110 sq.cm
120 sq.cm
130 sq.cm
140 sq.cm
Answer: B
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most
Choices:
377
215
287
162
Answer: B
Question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Choices:
180
234
488
234
Answer: A
Question: 3/4 of 1/2 of 2/5 of 5100 = ?
Choices:
229
765
493
540
Answer: B
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be:
Choices:
7:3
9:2
13:4
3:4
Answer: A
Question: There are three different pipes used to fill a pool: pipe x, pipe y, and pipe z. Pipe x can fill the pool in a days, pipe y in b days, and pipe z in c days, where a > b > c. When all three pipes are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?
I. d<c
II. d>b
III. c/3<d<a/3
Choices:
II
III
I&II
II &III
Answer: A
Question: The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 5: 00 p.m., at what time were there 32 million bacteria in the dish?
Choices:
11: 00 a.m.
6: 00 a.m.
8: 00 a.m.
10: 00 a.m.
Answer: A