antoine-444/aqua_rat_dataset huggingface dataset:
Question: In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Choices:
8000
8279
2797
2927
Answer: A
Question: There are 350 zebras at a large zoo near city. The number of zebras is 5 times the number of all the other animals combined. How many more zebras are there than non zebra animals at the zoo?
Choices:
420
340
280
200
Answer: C
Question: A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles ?
Choices:
Rs 20
Rs 22
Rs 25
None of these
Answer: B
Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 7.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
Choices:
5 p.m.
6 p.m.
7 p.m.
None of these
Answer: A
Question: An express train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the express train is 54 km/hr, what is the length of the platform?
Choices:
m
m
m
of these
Answer: A
Question: Given that √12 = 3.464 and √120 = 10.95, find the value of √1.2 + √1200 + √0.012.
Choices:
35.844
36.164
37.304
None of these
Answer: A
Question: X, Y, and Z are consecutive numbers and X > Y > Z. Also, X + 3Y + 3Z = 5Y + 6. What is the value of Z?
Choices:
3
4
5
6
Answer: A
Question: Excluding the stoppages, the speed of a bus is 64 km/hr and including the stoppages the speed o the bus is 48km/hr. For how many minutes does the bus stop per hour?
Choices:
15
77
28
91
Answer: A
Question: A group of medical interns at Bohemus Medical School want to go on dates. There are 4 girls and 4 guys. Assuming girls go on dates with guys, how many possible ways can these 8 medical interns date each other?
Choices:
B)18
C)20
D)22
E)24
Answer: D
Question: A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 70,000, C receives :
Choices:
16800
37798
13777
14778
Answer: A
Question: A seller of used cars has 15 cars to sell and each of his clients selected 3 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
Choices:
10
12
14
15
Answer: D
Question: Faiza has 14 purses, she gives 3 purse as gift. Now how many purse did she have ?
Choices:
5
11
9
4
Answer: B
Question: At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score W of team B?
Choices:
1)8
3)20
4)40
5)80
Answer: A
Question: In how many different ways can the letter of the word 'LEADING ' be arranged in such a way that the vowels always come together?
Choices:
963
720
789
852
Answer: B
Question: In covering a distance of 42 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choices:
7 km/h
10 km/h
15 km/h
25 km/h
Answer: A
Question: If m is an integer such that (-2)^2m=2^(18-m) then m=?
Choices:
5
6
7
8
Answer: B
Question: A and B undertake to do a piece of work for Rs. 1200. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of A.
Choices:
600
750
800
None of them
Answer: A
Question: Dacid obtained 86, 85, 92, 87 and 95 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
26
89
26
75
Answer: B
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 34?
Choices:
3
12
32
35
Answer: A
Question: Sixty men complete a work in 25 days. One man starts working it at and thereafter one more man joins him every day. In how many
days the work will be completed?
Choices:
52
24
55
65
Answer: C
Question: If the mean of numbers 28, x, 42, 78 and 104 is 90, then what is the mean of 128, 255, 511, 1023 and x?
Choices:
275
355
423
365
Answer: C
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.288. Find the principal?
Choices:
2667
3600
7200
1811
Answer: C
Question: The area of one square is x^2 + 8x + 16 and the area of another square is 4x^2 − 20x + 25. If the sum of the perimeters of both squares is 44, what is the value of x?
Choices:
4
6
8
10
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.200 more, there would have been a gain of 4%. What is the cost price?
Choices:
1429
1977
2778
2711
Answer: A
Question: The average of 21 numbers is 25. The average of first ten numbers is 18 and the average of last ten numbers is 32. What is the middle number?
Choices:
195
184
201
188
Answer: A
Question: A committee of two people is to be chosen from 5 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
24
26
40
32
Answer: C
Question: A sum of money amounts to Rs.9800 after 5 years and Rs.12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
Choices:
12%
8%
7%
5%
Answer: A
Question: In 30 years, A will be twice as old as B was 30 years ago. If A is now 5 years older than B, the present age of B is?
Choices:
95yrs
93yrs
82yrs
90yrs
Answer: A
Question: John Purchased 1375 large bottles at $1.75 per bottle and 690 small bottles at $1.35 per bottle. What was the approximate average price paid per bottle?
Choices:
$1.62
$1.68
$1.72
$1.76
Answer: A
Question: Mala purchased a cooker and a stove for Rs. 6000 &Rs. 9000 respectively. He sold the cooker at a loss of 4% and the mobile stove at a profit of 8%. Overall how much he make a profit.
Choices:
480
120
596
327
Answer: A
Question: How much time will it take for an amount of Rs. 1400 to yield Rs. 140 as interest at 5% per annum of simple interest?
Choices:
4 years
7 years
6 years
2 years
Answer: D
Question: An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?
Choices:
3/7
4/5
5/7
6/11
Answer: A
Question: Alice picked a number of pears, each of which she sold, canned, or poached. She canned 20 percent more than she poached, and she poached 50 percent less than she sold. If there were a total of 42 pears, then how many pears did she sell?
Choices:
20
22
23
24
Answer: A
Question: If the average of 20,21, 23, 24, 25, 28, 28, 29, 31 and x is 26, what is the value of x?
Choices:
28
30
31
32
Answer: C
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choices:
1900
1887
20989
2671
Answer: A
Question: A tank is filled in TWELVE hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
42 hours
55 hours
66 hours
47 hours
Answer: A
Question: P is a positive integer and 225 and 216 are both divisors of P. If P=(2^x)*(3^y)*(5^z), where x, y and z are positive integers, what is the least possible value of x+ y+ z?
Choices:
5
6
8
7
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
27
60
13
12
Answer: B
Question: What is the least number to be subtracted from 11, 15, 21 and 30 each so that resultant numbers become proportional?
Choices:
6
3
8
1
Answer: B
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
Choices:
8
16
18
None of these
Answer: A
Question: The food in a camp lasts for 25 men for 55 days. If five more men join, how many days will the food last?
Choices:
30 days
46 days
16 days
15 days
Answer: B
Question: A construction company wants to number new houses using digit plates only. If the company puts an order for 522 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
Choices:
230
210
240
250
Answer: B
Question: What is the remainder when the number W=14^2 * 15^8 is divided by 5?
Choices:
0
2
4
5
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train?
Choices:
200 meter
666 meter
155 meter
144 meter
Answer: A
Question: At the foot of a mountain the elevation of its summit is 45 degrees. After ascending one
KM towards the mountain upon an incline of 30 degrees, the elevation changes to 60
degrees. Find the Height of the mountain?
Choices:
1.366Km
1.233Km
1.266Km
None of these
Answer: A
Question: A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 56 lots are to have 100 feet of frontage each, what is the value of x ?
Choices:
3,200
6,160
4,400
4,760
Answer: B
Question: There are 50 students in a class. If 12% are absent on a particular day, find the number of students present in the class.
Choices:
36
28
129
44
Answer: D
Question: Three machines, each working at the same constant rate, together can complete a certain job in 18 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 9 days?
Choices:
3
7
9
8
Answer: A
Question: In a meeting of 3 representatives from each of 7 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?
Choices:
189
159
169
180
Answer: A
Question: What is the unit digit in 12^100?
Choices:
1
2
4
6
Answer: D
Question: A fellow borrowed a certain sum of money at 3% per annum at simple interest and in 3 years the interest amounted to Rs.1820 less than the sum lent. What was the sum lent?
Choices:
1220
1250
2000
1110
Answer: C
Question: If R = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in R than the median of the numbers in R?
Choices:
1.0
2.0
2.5
3.0
Answer: A
Question: The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Choices:
32%
40%
44%
48%
Answer: C
Question: Equal weights of two alloys containing tin, copper and lead in the ratio 3:2:7 and 4:11:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
Choices:
33:91:81
17:28:27
51:86:89
None of these
Answer: B
Question: The cost of fuming the engine of an army tank is proportional to the square of the speed and Rs 64 per hour for a speed of 16km/hr. Other costs amount to Rs 400 per hour. The tank has to make a journey of 400km at a constant speed.The most economical speed for this journey is :
Choices:
30 km/hr
35 km/hr
40 km/hr
None of these
Answer: C
Question: Two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 125 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
6
16
20
18
Answer: A
Question: A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Choices:
45
29
26
12
Answer: A
Question: A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1,250 meters / minute
1,450 meters / minute
1,550 meters / minute
1,650 meters / minute
Answer: A
Question: Antony can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Antony has in his herd?
Choices:
120
456
180
336
Answer: A
Question: What is the product of all the prime factors of 12?
Choices:
18
9
6
12
Answer: D
Question: If 325/999=0.125, what is the 81st digit to the right of the decimal point in the decimal equivalent of the fraction?
Choices:
3.5
4
4.5
5
Answer: D
Question: Thomas has age that is twice of Matt now, two years from now Thomas's age would be 1.5 times that of Matt. How old is the Matt now?
Choices:
2
8
12
4
Answer: A
Question: The difference between a number and its three-fifth is 50. What is the number?
Choices:
100
125
150
175
Answer: B
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is?
Choices:
5/12
5/17
5/11
5/10
Answer: A
Question: If after 100 grams of water were added to the 20%-solution of alcohol, the strength of the solution decreased by one-fourth, how much of the 20%-solution was used?
Choices:
300
150
200
210
Answer: A
Question: Cindy paddles her kayak upstream at b kilometers per hour, and then returns downstream the same distance at n kilometers per hour. How many kilometers upstream did she travel if she spent a total of p hours for the round trip?
Choices:
bn/p
(b + n)/p
bnp/(b + n)
pm/n- pn/m
Answer: C
Question: Which of the following points is symmetric with y=x at (-3,-4)?
Choices:
(-4,-3)
(2,1)
(-1,-2)
(-1,2)
Answer: A
Question: Narendra started a business, investing 40000. Six months later, Chandan joined him with 20000. If they make a profit of 10000 at the end of the year, what should be the share of Narendra?
Choices:
B)Rs.8000
C)Rs.8500
D)Rs.8600
E)Rs.8700
Answer: A
Question: If the average cost of a house was $40,000 in 1965 and was x in 2005, what was the average increase in home prices per year over this period?
Choices:
B)(x-40,000)/40
C)(50,000/40)+x
D)(50,000-x)/40
E)x/40
Answer: A
Question: In a right isosceles triangle, the lengths of the two nonhypotenuse sides are designated a. What is the area of the triangle in terms of a?
Choices:
√2/3∗a^2
1/2*a^2
√3/2∗a^2
√2^a2
Answer: B
Question: If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 9 people to do 9 times of that particular work?
Choices:
2
3
9
12
Answer: B
Question: If cost of sugar increases by 50%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Choices:
33%
20%
90%
60%
Answer: A
Question: The set X = {7,8,9,10}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?
Choices:
5/16
3/16
7/8
5/8
Answer: A
Question: When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?
I. 15.15
II.18.16
III. 17.18
Choices:
II only
III only
I and III only
I and II only
Answer: D
Question: It takes one machine to paint 1000 sq.m. surface in 24 minutes.Another machine does the same job in 40 seconds.How much time will it take if both machines are put on the same work?
Choices:
20.0 seconds
38.9 seconds
40.0 seconds
52.0 seconds
Answer: B
Question: Over a three-week period, the price of an ounce of gold increased by 10% in the first week, decreased by 20% in the following week, and increased by 30% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?
Choices:
1.144G
1.164G
1.184G
1.204G
Answer: A
Question: If x=kc and y=kt,then 2y-x =?
Choices:
k(c-t)
c(k-t)
t(k-c)
k(2t-c)
Answer: D
Question: The pilot of a small aircraft with a 60-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 10 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
Choices:
12
2
4
6
Answer: B
Question: a^2*b^2+a^2+b^2=259
b^2*c^2+b^2+c^2=1299
c^2*a^2+c^2+a^2=499
then find a+b+c=?
Choices:
14
15
16
17
Answer: B
Question: There are 4 books on fairy tales, 5 novels and 3 plays. In how many ways can you arrange these so that books on fairy tales are together, novels are together and plays are together and in the order, books on fairy tales, novels and plays.
Choices:
17250
17280
17300
17400
Answer: B
Question: One side of a rectangular field is 15 m and one of its diagonal is 17 m. Find the area of the field.
Choices:
120
150
180
None
Answer: A
Question: A hollow cube of size 5cm is taken, with the thickness of 1cm. It is made of smaller cubes of size 1cm .If the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted?
Choices:
418
428
438
448
Answer: C
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Choices:
4/11
3/11
6/45
7/44
Answer: B
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
2899
2500
2778
1991
Answer: B
Question: A positive integer, which when added to 1000, gives a sum which is greater than when it is multiplied by 1000. This positive integer is
Choices:
1
5
7
9
Answer: A
Question: If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to
Choices:
150
123.75
140.55
None
Answer: B
Question: Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 75 percent carbonated water, what percent of the volume of the mixture is P?
Choices:
50%
60%
80%
90%
Answer: C
Question: Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is
Choices:
12 cm
16 cm
18 cm
None
Answer: A
Question: which of the following options is the correct value of r, given the equation 6^r +1^(-r) = 217?
Choices:
7
3
2
0
Answer: B
Question: Which of the following is equal to 2^k*3^(k-1)?
Choices:
2*6^(k-1)
6^k
2*6^k
6^(2k-1)
Answer: A
Question: A does half as much work as B in three- fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?
Choices:
30 days
40 days
45 days
50 days
Answer: A
Question: A number a is squared and then multiplied by negative 1. The result of this operation is equal to 2 times the sum of 4 times a and 8. What is one possible value of a ?
Choices:
2
4
8
5
Answer: B
Question: 2 persons allotted to one work. John can do piece of work in 30 days while Bruce alone can do it in 40 days. In how many days can John and Bruce working together to do it?
Choices:
17 1/7days
17 3/5days
18 1/7days
17 1/4days
Answer: A
Question: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
Choices:
3/4
4/5
5/6
6/7
Answer: A
Question: A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
Choices:
14 years
65 years
17 years
15 years
Answer: D
Question: If in a race of 100m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:
Choices:
20m
11m
10m
15m
Answer: A
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 30 terms of this sequence?
Choices:
1 - (1/30 + 1/30)
(1+1/2) – (1/31 +1/ 32)
1 - 1/32
1/32-1/30
Answer: B
Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
Choices:
2.4 kg
2.5 kg
10 kg
none of these
Answer: B
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800
829
389
245
Answer: A
Question: Solve This
6 + 7 = 12
8 + 9 = 16
5 + 6 = 10
7 + 8 = 14
Then, 10 + 5 = ??
Choices:
12
13
14
18
Answer: C
Question: In a group of 250 readers who read science fiction or literacy works or both, 180 read science fiction and 88 read literacy works. How many read both science fiction and literacy works?
Choices:
180
150
18
88
Answer: C
Question: At Veridux Corporation, there are 180 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?
Choices:
20
85
75
35
Answer: B
Question: Two electric trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
30 sec
40 sec
20 s
50 sec
Answer: C
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many V cubes are painted on only 2 faces?
Choices:
12
6
10
16
Answer: A
Question: 2n boys are randomly divided into two sub-groups containing n boys each. Find the probability that two TOP RANK-HOLDER are in differed groups.
Choices:
(n-1) / (2n-1)
n / (2n-1)
None of these
Cannot be determined
Answer: A
Question: Two brothers took the GMAT exam, the higher score is M and the lower one is N. If the difference between the two scores is equal to their average, what is the value of N/M ?
Choices:
2
1/2
1/3
There isn't enough data to answer the question.
Answer: C
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5
Choices:
20
25
27
22
Answer: A
Question: In an animal behavior experiment, 50 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 90 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
Choices:
82.4
82.5
85
86.5
Answer: A
Question: Price of a product is reduced by 30% . What percentage should be increased to make it 100%
Choices:
32.85%
42.85%
52.85%
62.85%
Answer: B
Question: Rates for having a manuscript typed at a certain typing service are $10 per page for the first time a page is typed and $6 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Choices:
$1620
$1650
$1110
$1770
Answer: C
Question: Today is Saturday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Choices:
MONDAY
TUESDAY
WEDNESDAY
FRIDAY
Answer: C
Question: The population of a bacteria colony doubles every day. If it was started 7 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:
768
256
2048
4096
Answer: B
Question: From the below series find the remainder? 1201×1203×1205×1207 is divided by 6?
Choices:
3
6
7
8
Answer: A
Question: A shepherd had 17 sheep. All but nine died. How many was he left with ?
Choices:
8
9
10
17
Answer: B
Question: If the probability Q of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period?
Choices:
2/25
5/16
8/25
3/4
Answer: B
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/30
31/32
31/35
Answer: A
Question: A three-character password consists of one letter of the alphabet and two different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choices:
4,680
26,000
37,440
52,000
Answer: A
Question: A man can row upstream at 4km/hr and down stream at 11km/hr find mans rate in still water ?
Choices:
5.5km/hr
7.5km/hr
6.5km/hr
3.5km/hr
Answer: B
Question: For which of the following functions is f(w+b)=f(w)+f(b) for all positive numbers w and b?
Choices:
b) f(x)=x+1
c) f(x)=root x
d) f(x)=2/x
e) f(x)= -3x
Answer: D
Question: A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 65 years, that of the parents is 45 years and that of the grandchildren is 8 years. What is the average age of family?
Choices:
6/7years
C)30
D)33
E)35
Answer: A
Question: The present ages of three persons are in proportions 4:7:9 Eight years ago ,the sum of their ages was 56.Find their present ages (in years)
Choices:
16,28,36
20,35,45
None of these
Cannot be determined
Answer: A
Question: A certain college's enrollment at the beginning of 1992 was 40 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?
Choices:
24%
50%
55%
61%
Answer: D
Question: What is the remainder if 7^4 is divided by 100?
Choices:
4
1
2
10
Answer: B
Question: There are two concentric circles with radii 8 and 6. If the radius of the outer circle is increased by 25% and the radius of the inner circle decreased by 50%, by what percent does the area between the circles increase?
Choices:
225
275
300
325
Answer: A
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Choices:
Rs.428
Rs.299
Rs.480
Rs.412
Answer: C
Question: A garrison has provisions for 90 soldiers for 160 days. After 100 days 45 more soldiers will join the group. For how many more days will the provisions last?
Choices:
30 days
35 days
none of the above
Cannot be determined
Answer: C
Question: Three faces of a fair die are Yellow, two faces red and one blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is
Choices:
1/36
1/32
1/37
None of these
Answer: A
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
Rs.2.1
Rs.2.5
Rs.2.2
Rs.2.7
Answer: B
Question: A certain lab experiments with white and brown mice only. In one experiment, 3/7 of the mice are white. If therare24 brown mice in the experiment, how many mice in total are in the experiment?
Choices:
16
18
12
20
Answer: B
Question: A right circular cylinder and a cone are there. Base radius of cone is equal to radius of cylinder. What is the ratio of height to slant side if their volume are the same?
Choices:
3:1
1:2
2:1
1:4
Answer: A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 16000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
Choices:
21
35
37
29
Answer: B
Question: A train 280 m long, running with a speed of 72 km/hr will pass a tree in?
Choices:
16 sec
18 sec
14 sec
12 sec
Answer: C
Question: Abinaya invested an amount of Rs. 12,500 at the rate of 12% p.a simple interest and another amount at the rate of 15% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
Choices:
18500
11180
20,000
11800
Answer: D
Question: The total circumference of two circles is 49. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
Choices:
7.8
6.7
9.7
18.0
Answer: A
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 30, and 40 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Choices:
1/2
15/22
120/7
11/4
Answer: C
Question: A total of Y tourists were transported by bus to a certain museum. If there were Z tourists on each bus, which of the following expresses the number of buses used?
Choices:
Y/Z
Z/Y
Y-Z
Z^2
Answer: A
Question: A certain airline's fleet consisted of 80 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?
Choices:
10
11
12
13
Answer: C
Question: 2. Seven movie addicts- Guna, Isha, Leela, Madhu, Rinku, Viji and Yamini attend a film festival. Three films are shown, one directed by Rajkumar Hirani ,one by S.Shankar,and one by Mani Ratnam. Each of the film buffs sees only one of the three films. The films are shown only once, one film at a time. The following restrictions must apply :- Exactly twice as many of the film buffs sees the S.shankar film as see the Rajkumar Hirani film.- Guna and Rinku do not see the same film as each other.- Isha and Madhu do not see same film as each other.- Viji and Yamini see the same film as each other.- Leela sees the S.Shankar film.- Guna sees either the Rajkumar Hirani film or the Mani Ratnam film.Which one of the following could be an accurate matching of the film buffs to films ?(A) Guna: the S.Shankar film; Isha: the Mani Ratnam film; Madhu: the S.Shankar film(B) Guna: the Mani Ratnam film; Isha: the Rajkumar Hirani film; Viji: the Rajkumar Hirani film(C) Isha : the S.Shankar film; Rinku: the Mani Ratnam film; Viji: the Rajkumar Hirani film(D) Madhu: the Mani Ratnam film; Rinku: the Mani Ratnam film; Viji: the Mani Ratnam film
Choices:
B
C
D
NONE
Answer: A
Question: If xy is an integer, which of the following must also be an integer?
I. x/y
II. x
III. y/x
Choices:
II alone
I and II
I and III
None of the above
Answer: A
Question: A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be
Choices:
60 min
55 min
70 min
80 min
Answer: A
Question: If 7 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:3
3:3
1:2
6:1
Answer: A
Question: The speed of a boat in still water is 55kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: A semicircle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn, meeting the circumference of the semicircle at D. Given that AC=2cm and CD=6cm, the area of the semicircle in square cm will be ?
Choices:
40pi
50pi
60pi
70pi
Answer: B
Question: In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Choices:
B)11450
C)11760
D)13250
E)12450
Answer: B
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 768 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
8
Cannot be determined
None of these
Answer: B
Question: Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking ?
Choices:
His son
His uncle
His nephew
His Sister
Answer: A
Question: The rate of a certain chemical reaction is directly proportional to the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B present is increased by 100 percent, which of the following is closest to the percent change in the the concentration of chemical A required to keep the reaction rate unchanged.
Choices:
100 % decrease
30% decrease
40% increase
50% increase
Answer: A
Question: In a friendship gang Mala has 5 gang, in how many ways can he invite one or more of the gang to his house?
Choices:
31
58
74
36
Answer: A
Question: A 12 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:
2/3
3/10
1/3
2/5
Answer: A
Question: A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent?
Choices:
38
19
10
28
Answer: C
Question: In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.1, 9.0, 6.0, and 8.5, what was the point value of the dive?
Choices:
73.6
75.2
77.12
81.6
Answer: C
Question: List L: ABC, BCA, CAB
In list L above, there are 7 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
Choices:
114
152
161
488
Answer: D
Question: (32^32^32)/9 will leave a remainder?????
Choices:
3
4
5
6
Answer: B
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is:
Choices:
299
322
345
354
Answer: C
Question: The food in a camp lasts for 40 men for 50 days. If ten more men join, how many days will the food last?
Choices:
30days
40days
50days
60days
Answer: B
Question: There are 8 girls and 8 boys. If they are to be seated in a row, what is the probability that no two girls sit together?
Choices:
B)6!5!/16!
C)6!6!/16!
D)2∗8!8!/16!
E)6!7!/12!
Answer: C
Question: Rajesh can finish 1/6 of his home work in one hour. Seema can finish 3/7 of
her homework in 70 minutes and Ramya can finish 3/4 of her homework in
three and a half hours. If all of them start their home work at 12.00 PM and can
go to play as soon as they all finish their homework. When can they start to
play, if they take a break at 3.30 PM for 30 minutes?
Choices:
5:10pm
6:30pm
5:30pm
3:30pm
Answer: B
Question: Out of 7 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
A)3/7
C)5/7
D)5/6
E)5/3
Answer: A
Question: A code is to be made by arranging 8 letters. four of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
Choices:
210
420
840
10080
Answer: D
Question: A car moves at 102 km/hr. What is the speed of the car in meters per second ?
Choices:
28 1/3m sec
24 1/9m sec
26 2/3m sec
28 2/9m sec
Answer: A
Question: x percent of y percent of z is decreased by y percent. What is the result?
Choices:
(100xyz - xy^2z) / 1000000
(xz - y) / 10,000
(xyz - 2y) / 100
(xyz - 2y) / 10,000
Answer: A
Question: Ram and Krishna start from A and B respectively at the same time and travel towards each other at constant speeds of 30m/m and 40 m/m respectively along the same route. Ram meets Krishna at point C on the road after 10 minutes. Find the total distance between A to B.
Choices:
700 meters
700 kilometers
555 meters
750 meters
Answer: A
Question: A hall 36m long and 15m broad is to be paved with stones, each measuring 4dm by 5 dm. The number of stones required is:
Choices:
2700
18
18000
1.8
Answer: A
Question: The market value of a certain machine decreased by 10 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
Choices:
$5,600
$3,200
$6,400
$800
Answer: C
Question: On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1⁄3 of the total distance and again after she traveled 1⁄2 of the distance remaining between her first stop and her destination. She then drove the remaining 100 miles and arrived safely at her destination. What was the total distance, in miles, from Traci’s starting point to Seal Beach?
Choices:
300
350
400
550
Answer: A
Question: In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 21 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Choices:
4/1
6/5
3/4
3/2
Answer: B
Question: In how many different number of ways a combination of 3 persons can be selected from 4 men and 2 women?
Choices:
200
240
260
280
Answer: A
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 34 per kg. His profit percent is:
Choices:
5%
19%
10%
None of these
Answer: B
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 Y that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Choices:
3/5
7/10
3/4
4/5
Answer: A
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Choices:
50
26
87
62
Answer: A
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
Choices:
25 Yrs
26 Yrs
32 Yrs
34 Yrs
Answer: A
Question: Three consecutive even numbers are such that thrice the first number exceeds double the third number by three. What is the third number?
Choices:
9
11
13
15
Answer: D
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
Choices:
3 9/77 hrs
3 9/17 hrs
3 9/27 hrs
3 9/19 hrs
Answer: B
Question: In what time will a train 250 metres long cross an electric pole, if its speed be 162 km/hr?
Choices:
5 sec
5.55 sec
6.55sec
4.55 sec
Answer: B
Question: At an elementary school, 70% of the faculty members are women and 40% of the faculty members are married. If 1⁄3 of the men are single, what fraction of the men are married?
Choices:
1/3
2/3
3/5
2/7
Answer: B
Question: A manâ€™s current age is (2/5) of the age of his father. After 10 years, he will be (1/2) of the age of his father. What is the age of father at now?
Choices:
45
38
50
39
Answer: C
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
88 km
55 km
66 km
20 km
Answer: D
Question: When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.12510168?
Choices:
6
10
3
8
Answer: B
Question: If (a-b) is 6 more than (c+d) and (a+b) is 3 less than (c-d), then (a-c)
Choices:
1
1.5
2
2.5
Answer: B
Question: James took a 3-hour bike ride. In the second hour he traveled 30 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
Choices:
54.9
92.5
57.0
63.0
Answer: B
Question: If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 6 people to do 6 times of that particular work?
Choices:
2
3
6
9
Answer: B
Question: Mary is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of white, and 1 morsel of waffle. The pattern repeats after she leaves the morsel of waffle. If Mary drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
Choices:
waffle − wheat − wheat
white − waffle − wheat
white − white − white
white − white − waffle
Answer: A
Question: Average of five numbers is 30 . If one number is excluded the average becomes 26. The excluded number is
Choices:
45
55
46
67
Answer: C
Question: Insert the missing number. 2, 7, 8, 17, 16, 27, 22
Choices:
52
46
62
37
Answer: D
Question: Ron scored 344 marks out of 400 marks and his elder brother Ben scored 582 marks out of 600 marks. Who scored percentage is better?
Choices:
2778
1000
2776
2881
Answer: B
Question: The seats in an Engineering college for Computer science, electronics and civil are in the ratio of 5 : 7 :
8. There is a proportion to increase these seats by 40%, 50% and 75% respectively. What will be the
ratio of increased seats ?
Choices:
2 : 3 : 4
6 : 8 : 9
none of these
Insufficient data
Answer: A
Question: What is the perimeter of a rectangular field whose diagonal is 10m and length is 3m ?
Choices:
5 m
10 m
8 m
6 m
Answer: C
Question: The average of a set of five distinct integers is 400. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?
Choices:
-3,994
-3,494
-3,194
The answer cannot be determined from the information given
Answer: A
Question: A can complete a journey in 1 hours. He travels first half of the journey at the rate of 21km/hr and second half at the rate of 24km/hr. Find the total journey in km?
Choices:
150km
200km
224km
287km
Answer: C
Question: The average age of an adult class is 40years. 15new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Choices:
12
15
17
18
Answer: B
Question: the cyclist going at a constant rate of 18 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 48 miles per hour. the motor-cyclist stops to wait for the cyclist 15 minutes after passing cyclist, while the cyclist continues to travel at constant rate, how many minutes must the motor-cyclist wait until the cyclist catches up?
Choices:
25
35
40
45
Answer: A
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
5 kmph
20 kmph
22 kmph
25 kmph
Answer: B
Question: A and B can do a piece of work in 12 days. With the help of C they finish the work in 6 days. C alone can do that piece of work in?
Choices:
878
30
88
12
Answer: D
Question: If a – 8 = b, then determine the value of | a - b| - | b - a|.
Choices:
0
4
2
1
Answer: A
Question: Peter can cover a certain distance in 1 hr. 24 min. by covering two-third of the distance at 4 kmph and the rest at 5 kmph. Find the total distance.
Choices:
3
4
5
6
Answer: D
Question: A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 7 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
Choices:
63
64
65
72
Answer: B
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
45
49
51
Answer: A
Question: Two pipes can fill a tank in 8 minutes and 5 minutes. An outlet pipe can empty the tank in 12 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
17 minutes
15 minutes
10 minutes
14 minutes
Answer: D
Question: What is the positive difference between the sum of the squares of the first 3 positive integers and the sum of the prime numbers between the first square and fourth square?
Choices:
12
13
24
27
Answer: D
Question: Three rugs have a combined area of 200 square meters. By overlapping the rugs to cover floor area of 138 square meters, the area that is covered by exactly two layers of rug is 24 square meters. What is the area that is covered with three layers of rug ?
Choices:
19 square meters
24 square meters
28 square meters
30 square meters
Answer: A
Question: Two employees X and Y are paid a total of Rs. 590 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.268
s.298
s.300
s.388
Answer: A
Question: The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 39 what is the value of a1 ?
Choices:
6
19
16
21
Answer: B
Question: What is the probability that Company Q's advertisement will be one of the first two be shown during the first commercial break?
Choices:
1 / 30
1 /15
2 / 15
4 /15
Answer: C
Question: In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/8.
The probability of drawing a red ball is 2/5.
The probability of drawing a green ball is 7/10.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Choices:
15
23
7
5
Answer: C
Question: In a box, there are 10 blue, 12 white and 10 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
Choices:
5/16
8/32
2/32
9/32
Answer: A
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
48 Kmph
52 Kmph
54 Kmph
60 Kmph
Answer: D
Question: Edward traveled the entire 60 miles trip. If he did the first 3 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Choices:
24mph
30mph
32mph
53mph
Answer: D
Question: How many different 6-letter sequences are there that consist of 2A, 7B's and 3C's ?
Choices:
60
120
360
720
Answer: B
Question: 100 liters of a mixture contains milk and water in the ratio 7:3. If 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be?
Choices:
8:3
3:8
8:7
7:1
Answer: A
Question: What is the sum of all digits for the number 10^29 - 41?
Choices:
257
231
202
187
Answer: A
Question: The ratio of Red Balls to Blue Balls is 3:7. 70% of the Red balls and 30% of the Blue balls are tennis balls. How many of the balls are tennis balls?
Choices:
40%
45%
42%
48%
Answer: C
Question: 20% loss on the selling price is what percent loss on the cost price?
Choices:
47/11%
50/3%
63/8%
101/110%
Answer: B
Question: When the number 9y30012 is exactly divisible by 11, what is the smallest whole number that can replace y?
Choices:
2
5
6
8
Answer: A
Question: If 6 persons can do 6 times of a particular work in 6 days, then, 7 persons can do 7 times of that work in
?
Choices:
7 days
6 days
11 days
15 days
Answer: B
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
22 1/2
28 1/2
22 1/5
22 1/4
Answer: A
Question: Of the three- digit integers greater than 700, how many have two digits W that are equal to each other and the remaining digit different from the other two?
Choices:
82
80
45
36
Answer: B
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of three cubic feet. If a large block has twice the width, twice the depth, and three times the length of a normal block, what is the volume of cheese in a large block in cubic feet?
Choices:
6
27
48
36
Answer: D
Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choices:
25days
9 days
18 days
3 days
Answer: C
Question: The length of the longest tape in cm which can be used to measure exactly, the length 10m; 3m 85cm; and 11m 50cm is:
Choices:
5
34
36
38
Answer: A
Question: If y exceeds x by 35%, then x is less than y by?
Choices:
25 5/27%
16 2/3%
12 2/3%
16 1/3%
Answer: A
Question: The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
Choices:
Rs. 120
Rs. 124.75
Rs. 137.5
Rs. 145.8
Answer: B