antoine-444/aqua_rat_dataset huggingface dataset:
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 ways
178 ways
198 ways
156 ways
Answer: A
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $104 million in sales?
Choices:
15%
45%
42%
56%
Answer: C
Question: A man can do a piece of work in 10days, but with the help of his son, he can do it in 4 days. In what time can the son do it alone?
Choices:
17/3
15/2
20/3
9
Answer: C
Question: A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident
Choices:
35/100
35/101
35/109
35/122
Answer: A
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 80 questions and secures 120 marks, How many questions does he answer correctly?
Choices:
10
30
50
40
Answer: D
Question: There are 50 students in a class. If 6% are absent on a particular day, find the number of students present in the class.
Choices:
47
28
12
11
Answer: A
Question: A 7" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?
Choices:
100
125
144
225
Answer: B
Question: The capacity of a tank of dimensions (8m x 6m x 2.5m)is
Choices:
1200 litres
12000 litres
120000 litres
None of these
Answer: C
Question: Meg and Bob are among the 7 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
Choices:
30
60
2220
120
Answer: C
Question: At Deluxe paint store, Fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. Mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint. How many liters of blue paint must be added to 24 liters of Fuchsia to change it to Mauve paint?
Choices:
12
15
16
18
Answer: C
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 400 sq.ft, how many feet of fencing will be required ?
Choices:
60feet
40feet
30feet
5feet
Answer: A
Question: Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is ?
Choices:
11
14
15
16
Answer: A
Question: The CI on Rs. 30,000 at 7% per year is Rs. 4347. The period is?
Choices:
2 years
3 years
4 years
5 years
Answer: A
Question: The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Choices:
30, 40
50, 60
20, 40
20, 60
Answer: A
Question: A train passes a man standing on the platform. If the train is 60 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
4 ½ sec
6 sec
3 sec
2 ½ sec
Answer: C
Question: If PINTU is coded as 79523 in a certain code language, how would you code DUMBO in the same language?
Choices:
43426
13436
14263
15263
Answer: A
Question: The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is:
Choices:
283
308
318
328
Answer: B
Question: A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
Choices:
20
88
77
61
Answer: A
Question: Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 16 seconds. The length of the faster train is
Choices:
100 m
120 m
180 m
None
Answer: D
Question: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}.Find A'
Choices:
{3,4}
{5,6}
{7,8}
{5,6,7,8,9}
Answer: D
Question: At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 11.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
Choices:
$1.00
$1.25
$1.50
$1.75
Answer: D
Question: At steel factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
Choices:
8/17
8/9
9/8
17/8
Answer: A
Question: A space shuttle orbits the earth at about 6 kilometers per second. This speed is equal to how many kilometers per hour?
Choices:
2,880
21,600
28,800
48,000
Answer: B
Question: What approximate value should come in place of the question mark (?) in the following equation?50.02 Ã— 12.65 â€“ 37.50 Ã— 10.55 = (50 + ?) Ã— 4
Choices:
9.282
9.5
8.282
9.1
Answer: A
Question: A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is ?
Choices:
38%
68%
28%
24%
Answer: C
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
37/32
11/32
31/82
Answer: A
Question: A 10 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Choices:
1/5
3/10
1/3
4/10
Answer: D
Question: Jim’s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$4.45
$4.80
$5.05
$5.40
Answer: D
Question: Two friends Simpson & Stewie decide to get together
So they start driving cars towards each other. They plan to meet halfway. Each is riding at 6 Km/hr. They live 36 kms apart. Stewie has a pet "eagle" and it starts flying the instant they start traveling. The eagle flies back and forth at 18 Km/hr between them until the two meet.
How many kms does the eagle travel ?
Choices:
54
25
60
58
Answer: A
Question: Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
Choices:
93%
100%
107%
120%
Answer: A
Question: If 300!/10^n is an integer, what is the largest possible value of n?
Choices:
74
79
77
72
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train?
Choices:
176 m
300 m
150 m
200 m
Answer: D
Question: If a certain manager had received a 12.5% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?
Choices:
58,080
59,290
59,400
61,620
Answer: A
Question: To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much time A and C will take
Choices:
16 days
12 days
8 days
None of these
Answer: C
Question: Barbata invests $1400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choices:
700
1000
360
2400
Answer: A
Question: The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm. What is the ratio of the width and the area of the rectangle?
Choices:
1: 99
1: 94
1: 92
1: 91
Answer: C
Question: What is the place value of 3 in the numeral 3259
Choices:
3400
3500
3000
4000
Answer: C
Question: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
Choices:
220 sq cm
440 sq cm
132 sq cm
138 sq cm
Answer: B
Question: If 175*s is a perfect square then s can be which of the following numbers?
Choices:
35
54
105
150
Answer: A
Question: Sales price is $54, gross profit is 125% of cost, what is the value of gross profit?
Choices:
30
39
40
42
Answer: A
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.
Choices:
9/10
1/5
3/10
1/2
Answer: B
Question: A,B and C are brothers . D is A's father while G is B's son. Which of the following statements is definitely true ?
Choices:
D is G's grandparent
C is G's brother
D is B's brother
A is G's nephew
Answer: A
Question: A positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is
Choices:
5
7
9
12
Answer: B
Question: The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $93 per day. What was his wage on the 8th day?
Choices:
$90
$92
$97
$104
Answer: A
Question: Solve the equation for x : 8x - 40 + 2x = 5 + 10 - x
Choices:
10
7
5
3
Answer: C
Question: 1!+2!+3!+4!+5!+..100! is divided by 24. Find the remainder?
Choices:
6
9
11
13
Answer: B
Question: Three clocks were set to true time and starts to run together, makes a beep sound at intervals of 8,10 and 12 minutes respectively. In 2 days, how many times do they will make the sound together ?
Choices:
15
25
30
35
Answer: B
Question: Suganya and Suriya are partners in a business. Suganya invests Rs. 35,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is
Choices:
Rs.12,628
Rs.262.8
Rs.241.7
None
Answer: C
Question: There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 12:10 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?
Choices:
598:392
118:126
193:122
201:132
Answer: A
Question: How many multiples of 5 are there between 5 to 95?
Choices:
18
17
16
15
Answer: B
Question: 2^x +2* 2^-x = 4 What is the value of x?
Choices:
-1/2
1
1/2
0
Answer: B
Question: A sum of Rs.3800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
B)2470
C)8383
D)8383
E)3284
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 6% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
3750:2250
3752:2250
3760:2250
3762:2250
Answer: A
Question: Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 9 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Choices:
32/9
15/4
10/3
17/5
Answer: A
Question: P is four times as old as Q, and Q is five years older than R. If R is z years old, what is P’s age in terms of z?
Choices:
4z + 20
4z - 20
(z + 5)/4
(z − 5)/4
Answer: A
Question: From among the 31 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Choices:
1260
1060
1160
930
Answer: D
Question: A person is traveling at 20 km/hr and reached his destiny in 8 hr then find the distance?
Choices:
200 km
160 km
220 km
240 km
Answer: B
Question: In how many ways can 6 apples (identical) be distributed among 5 children? (Some children may get no apples.)
Choices:
210
128
130
132
Answer: A
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Joe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 52.5 miles ahead of Joe?
Choices:
240
75
90
105
Answer: A
Question: What is the rational number for recurring decimal 0.890890890.... ?
Choices:
67/421
890/999
None of these
Cannot be determined
Answer: B
Question: If each side of a rectangle is increased by 100%, by what % the area increases?
Choices:
200%
250%
300%
400%
Answer: C
Question: A man saves Rs 250 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.
Choices:
Rs 862.01
Rs 827.53
Rs 686.53
None of these
Answer: B
Question: If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $86, how much does one shirt cost?
Choices:
$12
$13.20
$15
$24
Answer: D
Question: If x/y = 2/z, then 5x^2 =
Choices:
20y²/z²
y²z²
5y²/z²
yz
Answer: A
Question: P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
Choices:
14 days
15 days
9 days
19 days
Answer: B
Question: If the LCM of two integers P, Q (where Q> P and P>1) is P*Q, then which of the following can not be true?
Choices:
Both P and Q can be Prime Numbers.
P and Q do not have a common factor.
P and Q do not share any Prime factors.
All Prime factors of P must be Prime factors of Q.
Answer: D
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
2/7
5/7
3/7
Answer: A
Question: In the biology lab of "Jefferson" High School there are 6.48*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?
Choices:
200
500
600
5000
Answer: C
Question: Of the science books in a certain supply room, 41 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 100 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Choices:
159
166
315
324
Answer: C
Question: Tom read a book containing 480 pages by reading the same number of pages each day. If he would have finished the book 2 days earlier by reading 16 pages a day more, how many days did Tom spend reading the book?
Choices:
12
10
20
14
Answer: A
Question: If 625(5^x) = 1 then x=
Choices:
-4
0
-1
2
Answer: A
Question: Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?
Choices:
35
37
36
30
Answer: A
Question: (2^2+4^2+6^2+.....+40^2)=?
Choices:
11480
57898
68886
75865
Answer: A
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8!
7!
7
6!
Answer: A
Question: A box contains 3 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
Choices:
3/5
7/12
2/3
7/10
Answer: A
Question: Two integers are in the ratio of 1 to 4. If 6 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer.
Choices:
6
12
24
30
Answer: C
Question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (-2, -2) and a diameter of 8. Some points, such as the center (-2, -2), are inside the circle, but a point such as (-2, 2) is on the circle but not in the circle. How many lattice points are in circle C?
Choices:
10
73
60
63
Answer: B
Question: A and B enter into partnership with capitals in the ratio 3 : 4. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 5 : 6. Find how long B remained in the business?
Choices:
9 months
6 months
7 months
None of these
Answer: A
Question: 8103/x is a non-terminating decimal. Which of the following could be a value of x?
Choices:
5
9
12
1
Answer: B
Question: (208% of 1265) ÷ 6 = ?
Choices:
B)439
C)225
D)375
E)524
Answer: A
Question: Bill downloads the movieRevenge of the Avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked A, B and C. Each source provides download at a constant rate, but the rates of different sources are not necessarily identical. If the movie was downloaded from sources A and C alone, it would take 4 hours to complete the download. The next day, source B is available, but the other sources are inactive. How long will it take to download the trailer of the movie, a file that is 50 times smaller, from source B alone?
Choices:
8 minutes
12 minutes
10 minutes
3 minutes
Answer: A
Question: Find the L.C.M of 22, 25, 44 and 20.
Choices:
1600
1320
1150
1100
Answer: D
Question: A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B ?
Choices:
800
1400
1200
None of them
Answer: C
Question: The average salary of all the employees in a small organization is Rs 8,000. The average salary of 7 technicians is Rs 12,000 and the average salary of the rest is Rs 6,000. The total number of employees in the organisation is?
Choices:
20
26
22
25
Answer: B
Question: In a stack of boards at a lumber yard, the 24th board counting from the top of the stack is immediately below the 14th board counting from the bottom of the stack. how many boards are in the stack?
Choices:
36
55
54
42
Answer: A
Question: If $100 invested at a certain rate of simple interest amounts to $140 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years?
Choices:
$180
$200
$240
$270
Answer: D
Question: A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 245, then how much amount should C pay as his share of rent?
Choices:
45
25
63
55
Answer: C
Question: The average age of A and B is 30 years. If C were to replace A, the average would be 25 and if C were to replace B, the average would be 40. What are the age of A, B and C?
Choices:
45,15,35
30,25,53
40,30,25
None of the above
Answer: A
Question: Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio Q of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?
Choices:
10 to 7
1 to 5
7 to 10
9 to 10
Answer: C
Question: What is the sum of all the composite numbers up to 22?
Choices:
277
153
132
281
Answer: B
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Choices:
24
88
29
21
Answer: A
Question: Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
Choices:
5500
5529
5502
5029
Answer: A
Question: When 999^500 is divided by 5, the remainder is
Choices:
remainder is 1
2
3
4
Answer: A
Question: A factory has 500 workers, 10 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?
Choices:
10
25
30
60
Answer: D
Question: If x, y, and z are positive integers, and 2x = 5y = 8z, then the least possible value of x + y + z is
Choices:
28
33
42
60
Answer: B
Question: A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons ?
Choices:
32 min
33 min
34 min
35 min
Answer: D
Question: 9, 12, 11, 14, 13, ?, 15
Choices:
16
14
17
20
Answer: A
Question: In a game of 70 points, A can give B 5 points and C 25 points. then how many points can B give C in a game of 50?
Choices:
8.38
15.38
13.38
16.38
Answer: B
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
21%
29%
22%
Answer: A
Question: A fruit seller sells mangoes at the rate of Rs.11 per kg and thereby loses 10%. At what price per kg, he should have sold them to make a profit of 10%?
Choices:
Rs.13.44
Rs.12.25
Rs.12.31
None
Answer: A
Question: If 4 spiders make 4 webs in 4 days, then 1 spider will make 1 web in how many days?
Choices:
4
5
4
3
Answer: A
Question: The three sides of an acute angled triangle (all in cms) are 12, 19 and k. How many integer values can k take?
Choices:
22
15
8
7
Answer: C
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 100, the runs scored by B are?
A. 15 B. 18
Choices:
24
99
77
24
Answer: A
Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 60 ounces of this substance?
Choices:
36
25
64
147
Answer: B
Question: There are 3 red shoes, 2 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Choices:
3/5
5/9
4/9
2/3
Answer: A
Question: X does a work in 20 days. Y does the same work in 40 days. In how many days they together will do the same work?
Choices:
12
20
30
13.33
Answer: D
Question: If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:
Choices:
40
80
88
84
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
150 meter
140 meter
135 meter
130 meter
Answer: A
Question: What is the greatest possible length that can be used to measure exactly the following Lengths 7m, 3m 85cm, 12m 95cm?
Choices:
30 cms
35 cms
38 cms
45 cms
Answer: B
Question: Which of the following is equal to 10^-(-2)^4?
Choices:
1/(10^16)
1/(10^12)
1/(10^8)
1/(10^6)
Answer: A
Question: The population of a town is 231400. If it increase at the rate of 3% per annum. What will be its population for 2years hence?
Choices:
245492
194582
194481
215460
Answer: A
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
17%
18%
58%
13%
Answer: B
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?
Choices:
7
8
4
1
Answer: B
Question: The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 18-inch screen would be how many square inches greater than the area of a square 16-inch screen?
Choices:
4
34
38
40
Answer: B
Question: Find the area of a parallelogram with base 14 cm and height 24 cm.
Choices:
336
345
244
242
Answer: A
Question: How many positive integers less than 300 can be formed using the numbers 1, 2, 3 a for the digits?
Choices:
30
66
68
84
Answer: A
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
19 ways
30 ways
16 ways
11 ways
Answer: B
Question: A bus travels first one-fourth of the distance with a speed of 9 km/hr, next one fourth of the distance with 15 km/hr, third one-fourth distance with a speed of 20 km/hr and last one fourth with 30 km/hr. The average speed of the car for the whole journey is:
Choices:
29.09 km/hr
39.09 km/hr
49.09 km/hr
None of these
Answer: A
Question: The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
Choices:
20, 22, 24
22, 24, 26
24, 26, 28
None of these
Answer: A
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Choices:
4 hrs 24 min
5 hrs
3 hrs
2 hrs
Answer: C
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:9
3:1
3:2
Answer: A
Question: The present population of a town is 4320. Population increase rate is 20% p.a. Find the population of town before 2 years?
Choices:
2100
3500
3000
2050
Answer: C
Question: An even number, total of whose digits is 27, is always divisible by
Choices:
9
7
6
None of these
Answer: D
Question: If q and y are both odd prime numbers and q < y, how many distinct positive integer factors does 2qy have?
Choices:
4
6
8
12
Answer: C
Question: Find the term next in series..
1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?
Choices:
48
40
43
44
Answer: A
Question: If a man lost 4% by selling oranges at the rate of 24 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
16
9
4
3
Answer: A
Question: A 270 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
Choices:
220m
230m
240m
250m
Answer: B
Question: January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
Choices:
Wednesday
Thursday
Saturday
None of these
Answer: B
Question: If Robert got marks in 6 subjects= {50, 62, 66,74, 80, 82}, what is the total mean and median of the marks ?
Choices:
139
100
121
150
Answer: A
Question: There are 450 birds at a small zoo. The number of birds is 5 times the number of all the other animals combined. How many more birds are there than non bird animals at the zoo?
Choices:
360
270
180
90
Answer: A
Question: Given a set of n rays in a plane, we define a reversal as the operation of reversing precisely one ray and obtaining a new set of n rays.
Q1: if n = 2001 and if k reversals are performed such that all the rays are reversed, then a possible value of k is
a. 4000 b. 4002 c. 2011 d. 1999
Choices:
2011
1366
288
1232
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5
2.6
2.1
2.2
Answer: A
Question: What is 10-8+6-4+...+(-10)?
Choices:
0
2
14
16
Answer: A
Question: Increasing the original price of a certain item by 25 percent and then increasing the new price by 30 percent is equivalent to increasing the original price by what percent?
Choices:
37.5
50.0
52.5
62.5
Answer: D
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/36
31/33
31/31
Answer: A
Question: Walking at 3/4 of his usual place, a man reaches his office 20 minute late. Find his usual time?
Choices:
2 hr
3 hr
1.5 hr
2.5 hr
Answer: A
Question: The probability that A can shoot a target two out of two times is 0.25. What is the probability that the target will be missed by A immediately after such two shots?
Choices:
0.5
0.7
0.4
0.75
Answer: D
Question: Ramesh, xyz and Rajeev put a partnership. profit is 36000, if Ramesh and xyz ratio is 5 : 4 and xyz and Rajeev 8:9. Find Rajeev's share.
Choices:
15000
16000
12000
17000
Answer: C
Question: ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $50.00. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?
Choices:
$18,406.75
$41,308.50
$51,817.50
$53,624.25
Answer: A
Question: A man bought 40 shares of Rs. 60 at 8 discount, the rate of dividend being 1212%The rate of interest obtained is
Choices:
15.5%
14%
14.42%
14.95%
Answer: C
Question: The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?
Choices:
2520
2277
9277
1911
Answer: A
Question: The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-4), how many units is P from the y-axis?
Choices:
4
8
10
12
Answer: B
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1 kmph
7 kmph
4 kmph
9 kmph
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg, what is his percent?
Choices:
25%
22%
13.63%
45%
Answer: C
Question: The sale price sarees listed for Rs.528 after successive discount is 20% and 10% is?
Choices:
277
380
290
262
Answer: B
Question: Fill in the blank with the correct number in this number series: 6, 45, 14, 40, __, 35, 30, ?
Choices:
22
24
27
18
Answer: A
Question: A couple spent $184.80 in total while dining out and paid this amount using a credit card. The $184.80 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
Choices:
$132
$140
$148
$156
Answer: B
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444
2881
287
221
Answer: A
Question: Susan drives from city A to city B. After two hours of driving she noticed that she covered 80 km and calculated that, if she continued driving at the same speed, she would end up been 15 minutes late. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned.
Find the distance between cities A and B.
Choices:
220
240
260
250
Answer: D
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
B)4
C)6
D)9
E)12
Answer: A
Question: There are 22 students in a class. In how many different ways can a committee of 3 students be formed?
Choices:
1320
1540
1760
1920
Answer: B
Question: The volume V of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the swimming pool?
Choices:
0.25
0.5
0.75
Not enough information to determine the rate
Answer: D
Question: What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, x
Choices:
215
213
320
216
Answer: D
Question: If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a + 2)+ 2^(a + 3) =
Choices:
2^(a + 1)
2a
2a^(a + 1)
15(2^a)
Answer: D
Question: If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: C
Question: Convert 0.30 in to a vulgar fraction ?
Choices:
16/50
3/10
19/50
None
Answer: B
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $752 in total compensation, how many total hours did he work that week?
Choices:
40
44
48
52
Answer: B
Question: Find the wrong number below mentioned series
5,24,60,120,210,340
Choices:
210
5
60
none
Answer: B
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 28 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
Choices:
32 yrs, 25 yrs
35 yrs, 29 yrs
35 yrs, 33 yrs
none
Answer: A
Question: If n is the product of three consecutive integers, and n is divisible by 6, which of the following is not necessarily a divisor of n ?
Choices:
4
6.8
5
0.
Answer: D
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 27 metre of cloth ?
Choices:
211 seconds
155 seconds
115 seconds
115 seconds
Answer: A
Question: For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 56 seconds. By what distance does P defeat Q eventually?
Choices:
224m
244m
231m
236m
Answer: A
Question: The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?
Choices:
20 meter
22 meter
25 meter
None of these
Answer: A
Question: A palindrome is a number that reads the same forward and backward, such as 242. How many even three-digit numbers are palindromes?
Choices:
40
500
5,000
100,000
Answer: A
Question: If a and b are prime numbers, which of the following CANNOT be the value of ab?
Choices:
14
21
23
25
Answer: C
Question: If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)?
Choices:
2*f(x)
1/f(x)
-f(x)
2/f(x)
Answer: C
Question: In how many different number of ways 2 boys and 2 girls can sit on a bench?
Choices:
10
24
26
82
Answer: B
Question: If the cost price of 20 articles is equal to the selling price of 15 articles, what is the % profit or loss made by the merchant?
Choices:
33.33% profit
20% loss
20% profit
5% profit
Answer: A
Question: In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 500 students and the middle school enrolled 250 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?
Choices:
r/7
r/2
r/9
r/3
Answer: D
Question: It has been raining at the rate of 5 centimeters per hour. If the rain filled a cylindrical drum with a depth of 15 centimeters, and area 300 square centimeters, how long did it take to fill the drum completely?
Choices:
3 hours
6 hours
2 hours 5 minutes
8 hours
Answer: A
Question: Find the odd man out. 5, 6, 14, 45, 185, 925, 5556
Choices:
925
185
6
14
Answer: B
Question: A woman bought a car at 10% bag on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did she make on the original price?
Choices:
42%
44%
46%
48%
Answer: B
Question: Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 7 pages a minute more than printer A ?
Choices:
840
1000
1200
1500
Answer: A
Question: How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
Choices:
120
72
110
116
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
Choices:
146
147
150
152
Answer: C
Question: 10, 25, 45, 54, 60, 75, 80
Choices:
45
54
75
80
Answer: B
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 57. What is that number?
Choices:
5
8
7
4
Answer: A
Question: What is the least common multiple of 6, 18, and 24?
Choices:
72
240
360
720
Answer: A
Question: Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is
Choices:
60
70
80
90
Answer: A
Question: Bill has a small deck of 12 playing cards made up of only 2 suits of 6 cards each. Each of the 6 cards within a suit has a different value from 1 to 6; thus, for each value from 1 to 6, there are two cards in the deck with that value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?
Choices:
62/165
17/33
103/165
25/33
Answer: B
Question: The average of 6 no.'s is 3.95. The average of 2of them is 4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
4.4
4.6
5.6
4
Answer: D
Question: Last year, for every 100 million vehicles that traveled on a certain highway, 50 vehicles were involved in accidents. If 5 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
850
900
500
1000
Answer: D
Question: How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together?
Choices:
4320
1254
3265
4512
Answer: A
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/8
1/9
1/12
1/14
Answer: B
Question: A word is defined as a sequence of three dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
Choices:
18
24
27
36
Answer: C
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%?
Choices:
887
256
650
712
Answer: C
Question: A train running at the speed of 180 km/hr crosses a pole in 8 seconds. Find the length of the train.
Choices:
88
480
288
400
Answer: D
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach a target of 282 runs ?
Choices:
6.25
6.75
7.0
None of the above
Answer: A
Question: The speed of a car is 100 km in the first hour and 80 km in the second hour. What is the average speed of the car?
Choices:
65 kmph
90 kmph
85 kmph
90 kmph
Answer: B
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Choices:
12.6 Years
12.3 Years
13 Years
14 Years
Answer: A
Question: Mohan purchased 10 kgs of rice at the rate of Rs.26 per kg and 10 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choices:
A)Rs.520
C)Rs.596
D)Rs.595
None of these
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
94%
44%
24%
74%
Answer: B
Question: The sum of two numbers is 15 and their geometric mean is
20% lower than their arithmetic mean. Find the numbers?
Choices:
12,3
11,2
11,3
10,2
Answer: A
Question: You leave your house at 7 AM and your drive 60 miles per hour. Your wife was taking her time. So she leaves the house at 9 AM. However, she is now speeding at 90 miles per hour.
How long will it take your wife to catch up with you assuming that the police does not stop her?
Choices:
360 miles
560 miles
660 miles
760 miles
Answer: A
Question: Last year, sales at Company Zora were 10% greater in February than in January, 10% less in March than in Feb, 30% greater in April than in March, 10% less in May than in April, and 10% greater in June than in May. In which month were sales closest to Jan?
Choices:
April
May
March
June
Answer: C
Question: When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?
Choices:
4.5
5.7
6.9
7
Answer: A
Question: Ben lost a 100 m race to Miles by a mere 0.10 m. If Ben gave Miles a 4 m head start at the beginning of the race, how many meters more will it take before Ben overtakes miles?
Choices:
2.55m
1.55m
4.55m
0.55m
Answer: A
Question: If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
14.0
17.0
23.5
26.5
Answer: A
Question: There are three prizes to be distributed among six students. If no students gets more than one prize, then this can be done in?
Choices:
45
5
20
None of these
Answer: C
Question: The positive two-digit integers k and m have the same digits, but in reverse order. Which of the following must be a factor of k + m?
Choices:
9
77
12
14
Answer: B
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
3944
4176
5020
5000
Answer: A
Question: If a*b denotes the greatest common divisor of a and b, then ((12*16)*(30*24)) = ?
Choices:
12
6
4
2
Answer: D
Question: If the cost price is 95% of selling price then what is the profit percentage.
Choices:
5.26
5.61
5.52
5
Answer: A
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
4.0
4.2
4.9
4.6
Answer: D
Question: A and B are two circles. The radius of A is thrice as large as the radius of B. What is the ratio between the areas of the circles?
Choices:
1:2.
1:4.
1:9
1:6.
Answer: C
Question: Two goods trains each 680 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
65.28
48.32
27
21.1
Answer: A
Question: Look at this series: 5.3, 4.8, 4.3, 3.8, ... What number should come next?
Choices:
3.5
3.6
3.4
3.3
Answer: D
Question: How many positive integers less than 100 are neither multiples of 4 or 5.
Choices:
b)60
c)32
d)33
e)34
Answer: A
Question: A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 8:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Choices:
30
36
38
40
Answer: A
Question: A cicketer Has a certain average for 10 innings, In the eleventh inning, he scorod 88 runs, thereby increasing his average by 6 runs. His new average is
Choices:
28 runs
48 runs
42 runs
46 runs
Answer: A
Question: 252 can be expressed as a product of primes as:
Choices:
2 x 2 x 3 x 3 x 7
3 x 3 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7
7 x 3 x 3 x 3 x 7
Answer: A
Question: If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability that this product will be a multiple of 45?
Choices:
1/28
1/24
1/16
1/14
Answer: B
Question: How many minutes does it take John to type y words if he types at the rate of t words per minute?
Choices:
y/t
xy
60x/y
y/(60x)
Answer: A
Question: The greatest number of four digits which is divisible by 10, 20, 40 and 60 is:
Choices:
9300
9400
9600
9700
Answer: C
Question: The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 9 years more than twice the age of the son.Find the present age of the father.
Choices:
77
30
44
55
Answer: B
Question: What is the remainder when 43^88 is divided by 5?
Choices:
1
2
3
4
Answer: A
Question: In order to obtain an income of Rs. 900 from 20% stock at Rs. 102, one must make an investment of
Choices:
Rs.4590
Rs.4560
Rs.4500
Rs.4570
Answer: A
Question: How much water should be added to 10 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Choices:
27 liters
30 liters
32 liters
35 liters
Answer: B
Question: Seller selling an apple for Rs.15, a Seller loses 1/6th of what it costs him. The CP of the apple is?
Choices:
12
16
18
20
Answer: B
Question: Car Dealership X, the total profit from sales increased by 9 percent over the previous years, while the number of cars sold decreased by 9 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
Choices:
19.78%
22%
23%
25%
Answer: A
Question: You are given with two ropes with variable width. However if we start burning both the ropes, they will burn at exactly same time i.e. an hour. The ropes are non-homogeneous in nature. You are asked to measure 45 minutes by using these two ropes.
How can you do it? Please note that you can’t break the rope in half as it is being clearly stated that the ropes are non-homogeneous in nature.
Choices:
35 minutes
45 minutes
55 minutes
65 minutes
Answer: B
Question: An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors W does the number 4x have?
Choices:
3y
16y
5y
Cannot be determined
Answer: D
Question: A trader bought a car at 30% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
62%
12%
19%
5%
Answer: D
Question: Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L?
.
Choices:
1/2.
2.
3.
6
Answer: C
Question: If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?
Choices:
16
-10.5
-17.5
Cannot be determined
Answer: C
Question: Raviraj invested an amount of 10000000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
Choices:
13,21000
13,320
13,120000
13310000
Answer: D
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?
Choices:
8127
8618
9490
8128
Answer: C
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
12/87
45/96
3/2
Answer: A
Question: The average age of applicants for a new job is 35, with a standard deviation of 30. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Choices:
16
31
18
34
Answer: B
Question: Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
Choices:
14,30
16,32
18,34
None of these
Answer: A
Question: D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 25:144 and BC=13 cm, then find the length of DE.
Choices:
5
14
11
15
Answer: A
Question: The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
Choices:
5
6
7
9
Answer: A
Question: A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 660-mile journey? Assume that the train makes no intermediate stops.
Choices:
8.5
11
9.5
10
Answer: B
Question: Find the odd man out. 2, 3, 5, 9, 12, 17, 23
Choices:
9
23
2
1
Answer: A
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 30 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Choices:
53%
54%
55%
57%
Answer: D
Question: What annual installment will discharge a debt of $100 due in 3 years at 10% simple interest?
Choices:
50.2
30.3
45
56
Answer: B
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
17/25
17/21
17/20
14/21
Answer: C
Question: Rs.8000 become Rs.9159.20 in a certain interval of time at the rate of 7% per annum of C.I. Find the time?
Choices:
8 years
9 years
3 years
2 years
Answer: D
Question: A Glee club of 20 members is performing two songs for the school talent show. 50% of its members are part of the first one, and 60% are performing in the second one. How many Glee club members are performing in both songs at the talent show?
Choices:
1
2
3
4
Answer: B
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Choices:
267
877
300
911
Answer: C