antoine-444/aqua_rat_dataset huggingface dataset:
Question: Debanshu normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Debanshu averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
Choices:
105
95
75
45
Answer: C
Question: A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 6 kilometers per hour. It returns by the same route at an average speed of 8 kilometers per hour. What is the average speed for the round-trip in kilometers per hour?
Choices:
6.8
7.2
7.5
8.0
Answer: A
Question: If x^2 - y^2 = 2xy, then (x+y)^2 =
Choices:
2x^2
4xy
2y^2
-y^2
Answer: A
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:
Rs.3944
Rs.3942
Rs.3965
Rs.3929
Answer: A
Question: Two circles, one with radius 10 inches and the other with radius 4 inches, are tangent at point Q. Two insects start crawling at the same time from point Q: one along the larger circle at 3π inches per minute, the other along the smaller circle at 2.5π inches per minute. How much time has elapsed when the two insects meet again at point Q?
Choices:
30 minutes
40 minutes
1 hour
1 hour, 20 minutes
Answer: D
Question: Dacid obtained 81, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
38
76
37
75
Answer: B
Question: The smallest number which when diminished by 6, is divisible 12, 14, 16, 18 and 22 is:
Choices:
11094
11091
10323
10483
Answer: A
Question: While working alone at their respective constant rates, server G uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?
Choices:
2hr 20 min
2hr 40 min
5 hr 40 min
6hr
Answer: B
Question: 4, 2, -4, -8, 32, 26, -156, ?
Choices:
-144
-154
-164
-174
Answer: C
Question: A batsman in his 10th innings makes a score of 60, and thereby increases his average by 3. What is his average after the 10th innings? He had never been ’not out’.
Choices:
37
39
43
33
Answer: D
Question: What percentage of numbers from 1 to 70 have squares that end in the digit 1?
Choices:
88%
20%
94%
21%
Answer: B
Question: A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 20% less than B, and C costs 25% less than A,and D costs 35% less than C what percent of B's cost is D?
Choices:
39%
44%
36%
42%
Answer: A
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
Choices:
1/4
1/9
1/6
1/1
Answer: B
Question: Marla is hanging a banner diagonally across a rectangular room. The length of the room is 3 feet shorter than its width. If the total area of the room is 130 square feet, what is the length of the banner (in feet)?
Choices:
between 16 and 17
between 18 and 19
between 19 and 20
between 20 and 21
Answer: A
Question: S is a set containing 8 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
Choices:
The median of T is prime
The median of S is equal to the median of T.
The sum of the terms in S is prime.
The sum of the terms in T is prime.
Answer: B
Question: Triathlete Dan runs along a 3-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?
Choices:
1/8
3/15
1/4
3/8
Answer: A
Question: A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he make in 24 days?
Choices:
360
754
687
147
Answer: A
Question: If you have 8 New Year greeting cards and you want to send them to 3 of your friends, in how many ways can this be done?
Choices:
336
340
670
None
Answer: A
Question: 6x − 12 = 6y
4y + 4x = 12
Which of the following is the number of solutions to the system of equations shown above?
Choices:
Exactly one
Exactly two
Exactly three
None
Answer: A
Question: 115 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choices:
32 liters
46 liters
50 liters
34 liters
Answer: B
Question: Let the number which when multiplied by 12 is increased by 198.
Choices:
18
26
28
30
Answer: A
Question: The total age of A and B is 18 years more than the total age of B and C. C is how many year younger than
Choices:
12 years
56 years
66 years
18 years
Answer: D
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
268
245
276
191
Answer: B
Question: How many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph?
Choices:
35 sec
25 sec
45 sec
24 sec
Answer: A
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
6 years
2 years
3 years
8 years
Answer: C
Question: In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Choices:
750 cu.m
4500 cu.m
500 cu.m
600 cu.m
Answer: A
Question: Find the area of a parallelogram with base 30 cm and height 12 cm?
Choices:
360 cm2
270 cm2
280 cm2
260 cm2
Answer: A
Question: a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers S was deleted?
Choices:
b
c
d
e
Answer: B
Question: If 2994 Ã· 14.5 = 179, then 29.94 Ã· 1.45 = ?
Choices:
17.3
17.5
17.7
17.9
Answer: D
Question: Evaluate: 30 - 12*3*2 = ?
Choices:
52
32
12
22
Answer: D
Question: Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 324x is the cube of a positive integer?
Choices:
12
18
24
36
Answer: B
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 26 white marbles. How many red marbles could be in bag A?
Choices:
3
4
2
8
Answer: C
Question: The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?
Choices:
33 1/3 %
11 1/9 %
66 2/3 %
None
Answer: A
Question: A man sells a horse for Rs.20 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
340
277
860
771
Answer: A
Question: If x and y are prime numbers, which of the following CAN be the sum of x and y?
Choices:
5
12
15
23
Answer: A
Question: Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,10,000 earned at the end of 3 years from the start of the business in 2010?
Choices:
Rs.50000
Rs.60000
Rs.70000
None of these
Answer: C
Question: Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy ?
Choices:
Rs.6, 10
Rs.6, 16
Rs.6, 11
Rs.6, 12
Answer: A
Question: Ann invested a certain sum of money in a bank that paid simple interest. The amount grew to $240 at the end of 2 years. She waited for another 3 years and got a final amount of $300. What was the principal amount that she invested at the beginning?
Choices:
$200
$210
$175
Insufficient data
Answer: A
Question: Tom drives from town A to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between A and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
Choices:
20
24
30
36
Answer: A
Question: 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
Choices:
84
94
95
65
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
283
245
266
288
Answer: B
Question: If x is 20 percent greater than 98, then x =
Choices:
70.4
86
105.6
117.6
Answer: D
Question: Two trains of length 150 m and 250 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 18 kmph and 36 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
100/3 sec
80/5 sec
20/7 sec
Answer: B
Question: When 35 per cent of a number is added to another number,the second number increases by its 20 per cent. What is the ratio between the second number and the first number?
Choices:
7 : 4
8 : 5
Data inadequate
None of these
Answer: A
Question: It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
(216 - 1)
(7 x 223)
(296 + 1)
None of these
Answer: C
Question: A division of a company consists of seven men and five women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Choices:
2/5
2/9
5/12
5/33
Answer: D
Question: How many pairs of letters are there in the word 'CASTRAPHONE' which have as many letters between them in the word as in the alphabet?
Choices:
Four
Three
Seven
None
Answer: A
Question: For arranging a picnic, each student contributed an amount equal to the number of students while the teacher contributed an amount equal to twice the number of students. However, if each student would have contributed an amount equal to twice the number of students and the teacher would have contributed an amount equal to the number of students, they would have generated Rs. 1056 more. Find the number of students in the group?
Choices:
56
33
18
19
Answer: C
Question: A room is 5 meters 76 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
Choices:
15
17
137
147
Answer: A
Question: A can complete a work in 15 days and B can do the same work in 9days. If A after doing 5days, leaves the work, find in how many days B will do the remaining work?
Choices:
4days
6days
7days
10days
Answer: B
Question: A Cuban cigar would cost 1 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
Choices:
16.7$.
25.5$.
35$.
37.4$.
Answer: A
Question: (X)+1789+9011-7819=90510. Calculate the value of X
Choices:
87599
87529
87520
87521
Answer: B
Question: If r is an even integer and q is an odd integer, which of the following must be an odd integer?
Choices:
rq
2r+q
2(r+q)
3r/q
Answer: B
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 630 m long?
Choices:
89
277
278
87
Answer: D
Question: A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 50$ for the meal.Assuming that they will pay 10% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?
Choices:
39.52$
41.63$
42.15$
41.15$
Answer: A
Question: Meg and Bob are among the 5 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
90
120
Answer: B
Question: In a cricket team, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 31 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?
Choices:
34 years
35 years
26 years
37 years
Answer: C
Question: which of the following inequalities indicates the set of all values of d for which the lengths W of the three sides of a triangle can be 3,4, and d?
Choices:
0<d<5
0<d<7
1<d<5
1<d<7
Answer: D
Question: At what rate percent on simple interest will Rs.750 amount to Rs.1050 in 5 years?
Choices:
8
4
5
6
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 50 years now, the son's age five years back was:
Choices:
20 years.
25 years.
30 years.
35 years.
Answer: A
Question: There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Laddu is not eaten on Monday
2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday
3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday
4) Peda is eaten the day following the day of eating Jilabi
Based on the above, peda can be eaten on any day except?
Choices:
Monday
Wednesday
Friday
Sunday
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 6 : 3 : 5 : 4. If C gets Rs. 1000 more than D, what is B's share?
Choices:
2000
2500
2800
3000
Answer: D
Question: Mary jogs 9 km at a speed of 6kmph. at what speed would she need to jog during the next 1.5 hour to have an average of 9 km per hr at the entire jogging session?
Choices:
12kmph
87kmph
74kmph
78kmph
Answer: A
Question: The average (arithmetic mean) of y numbers is x. If 15 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
Choices:
x/6 - 5
x/7 - 5
x/5 - 4
x/5 - 6
Answer: C
Question: A sequence of numbers is such that a1 = 11, a2 =16, and each subsequent an = an-2 + 9. Which of the following numbers is a member of the sequence?
Choices:
246
289
299
368
Answer: C
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Choices:
81000
81089
81027
28939
Answer: A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16
188
199
12
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
99
121
81
Answer: A
Question: B @ K I 9 D Â© 5 2 T $ M 4 E J # U R 1 A Î´ K 5 W 6 % F Q 7 H P 8 Z How many such consonants are there in the above arrangement, each of which is immediately preceded by number and immediately followed by a symbol?
Choices:
One
Two
Three
More than three
Answer: B
Question: A bat is bought for Rs.400 and sold at a gain of 25% find its selling price?
Choices:
s.480/-
s.500/-
s.520/-
s.540/-
Answer: B
Question: The average age of father and his two sons is 27 Years. Five years ago, the average age of the two sons was 12 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
Choices:
46
47
48
49
Answer: B
Question: The sector of a circle has radius of 21 cm and central angle 150o. Find its perimeter?
Choices:
91.4
97
91.3
91.1
Answer: B
Question: The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short.
Choices:
40 rs
50
60
90
Answer: A
Question: A man bought a horse and a carriage for Rs. 3000. He sold the horse at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse.
Choices:
1800
1200
1000
1500
Answer: B
Question: A is twice as good a workman as B and they took 10 days together to do the work B alone can do it in.
Choices:
12 days
30 days
25 days
27 days
Answer: B
Question: Amit, Raju and Ram agree to pay their total electricity bill in the proportion 3 : 4 : 5. Amit pays first day's bill of Rs. 50, Raju pays second day's bill of Rs. 55 and Ram pays third day's bill of Rs. 75. How much amount should Amit pay to settle the accounts?
Choices:
Rs. 17
Rs. 12
Rs. 5
NONE OF THE ABOVE
Answer: C
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
Choices:
45 kg
75 kg
15 kg
35 kg
Answer: A
Question: In covering a distance of 90 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:
8 km/h
10 km/h
15 km/h
20 km/h
Answer: C
Question: Find the total number of prime factors in the expression (4)^11 x (7)^3 x (11)^2
Choices:
22
25
27
29
Answer: C
Question: The price of precious stone is directly proportional to square of its weight. what will be the loss incurred if a stone weighing 28gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15:13?
Choices:
13928.58
14000
13562.42
None of these
Answer: A
Question: If taxi fares were $1.00 for the first 1/5 mile and $0.30 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
Choices:
$2.40
$3.80
$5.20
$2.80
Answer: C
Question: The average expenditure of a labourer for 5 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is
Choices:
69.5
60.4
62.1
72.1
Answer: A
Question: Tom divided $360 among his six children for them to use for Christmas gifts. His daughter Kate
added $20 to her portion, then used the money to buy 16 gifts that each cost the same amount.
What was the price of each of Kate’s gifts?
Choices:
$5
$15
$20
$25
Answer: A
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 30 percent of the pack would be outfielder cards?
Choices:
5
6
7
8
Answer: D
Question: A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 2 months and 7 months respectively. What was the ratio of their investments?
Choices:
12:24:28
20:22:12
5:49:16
None of these
Answer: C
Question: If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the R odds that x^2+y^2>1?
Choices:
2. R=pi/16
3. R=1-pi/4
4. 1-pi/16
5.4-pi
Answer: B
Question: Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 25 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 30 meters. What distance is she from the starting point and in which direction?
Choices:
35 m North
30 m West
45 m West
55 m East
Answer: D
Question: In an examination 35% of the students passed and 546 failed. How many students appeared for the examination?
Choices:
B)400
C)700
D)650
E)840
Answer: D
Question: X divided by Y equals 7.28 what is a possible remainder?
Choices:
21
5
6
9
Answer: A
Question: Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 51 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 51 minutes, for how many kilometers total did she hike east?
Choices:
3
4.5
4
3.5
Answer: D
Question: An epidemic is reported to have broken out in Florida. The number of detected instances of a certain disease is reported to have increased by 85% in the last year. What is the lowest number of newly detected instances possible?
Choices:
5
11
15
17
Answer: D
Question: A car going at 10 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
Choices:
20
53
55
60
Answer: A
Question: Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4664 km and comes back to the starting point. The total time taken by him is:
Choices:
784 hours
780 hours
684 hours
884 hours
Answer: A
Question: If the average marks of three batches of 70, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
Choices:
54.28
55
57
None
Answer: A
Question: You have 10 users plugged into a hub running 10Mbps half-duplex. There is a server connected to the switch running 10Mbps half-duplex as well. How much bandwidth does each host have to the server?
Choices:
377
26
10
88
Answer: C
Question: 70% of the employees in a multinational corporation have VCD players, 83 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
Choices:
(b) 5%
(c) 10%
(d) 18%
(e) 25%
Answer: C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 3 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
287
289
270
360
Answer: D
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150
278
266
256
Answer: A
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
14.8 sec
10.6 sec
10.8 sec
20.8 sec
Answer: C
Question: 9,13,289,4795, 28750, 18947 which number is wrong in series
Choices:
18947
289
4795
28750
Answer: D
Question: Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Choices:
2 : 3
3 : 4
4 : 5
5 : 2
Answer: A
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
Rs. 6000
Rs. 7000
Rs. 8000
Rs. 10000
Answer: D
Question: 6x − 18 = 6y
5y + 5x = 15
Which of the following is the number of solutions to the system of equations shown above?
Choices:
Exactly three
Exactly two
Exactly one
None
Answer: C
Question: A and B can do a work in 8 days, B and C can do the same work in 12 days. A,B and C together can finish it in 6 days. A and C together will do it in how many days?
Choices:
6
5
8
9
Answer: C
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Choices:
125
200
250
300
Answer: A
Question: A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/10, and the probability of selecting a blue paper clip is 1/2. What is the probability of selecting a silver paper clip?
Choices:
1/2
4/10
3/4
11/12
Answer: B
Question: The sector of a circle has radius of 42 cm and central angle 135o. Find its perimeter?
Choices:
92.2 cm
28.9 cm
29.2 cm
183 cm
Answer: D
Question: A jar has 250 marbles. 46 are blue, 56 are red, 75 are green, 25 are yellow, and the remainder, purple.
What percent of the marbles are purple?
Choices:
24%
30%
16%
27%
Answer: A
Question: All of the citizens of a country have a three-character or four-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
Choices:
37(36^3)
35(36^4)
35(36^3)
37(36^4)
Answer: A
Question: Find the simple interest on Rs. 64,000 at 16 2/3% per annum for 9 months.
Choices:
s.8000
s.7500
s.7000
s.6500
Answer: A
Question: A man two flats for $675958 each. On one he gains 15% while on the other he loses 15%. How much does he gain or lose in the whole transaction?
Choices:
2.25%
3.12%
4.65%
5.12%
Answer: A
Question: The nth term in a certain sequence is defined for positive integer n as 1+(−1)(n(n+1)/2)^2. What is the total of the first 64 terms of this sequence?
Choices:
0
16
32
64
Answer: C
Question: For which of the following functions is f(w) = f(−w) for all values of w ?
Choices:
f(x) = −x
f(x) = 2x + 3
f(w) = −w^2 + 2
f(x) = 5x − 4
Answer: C
Question: Given that a is the average (arithmetic mean) of the first eight positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?
Choices:
10:13
5:6
9:13
4:3
Answer: C
Question: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits C can does Grace have available during her trip?
Choices:
1,260
620
360
120
Answer: A
Question: Line D passes through point (-2,5), and the product of its x-intercept and y-intercept is positive. Which of the following points could be on line D?
Choices:
(-3,2)
(-1,7)
(-1,2)
(-3,1)
Answer: C
Question: Find the average (arithmetic mean) of x and y if the average of x, y, and 5 is 20 more than the average of x, y, 5, and 15.
Choices:
120
130
140
150
Answer: C
Question: The number 97215*6 is completely divisible by 11. What is the smallest whole number in place of * ?
Choices:
3
1
2
11
Answer: A
Question: A gambler has won 40% of his 30 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 70% of the time, how many more games must he play to end up winning 60% of all his games for the week?
Choices:
42
48
54
60
Answer: D
Question: If 8^z is a factor of 256!, which of the following could be the value of z?
Choices:
42
30
52
36
Answer: D
Question: The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
Choices:
$37
$48
$60
$84
Answer: A
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 62 now, the son age 5 years back was
Choices:
17
11
19
26
Answer: D
Question: In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?
Choices:
⁶C₃ ⁷C₅
⁶C₃⁷C₄
⁷C₅ ⁶C₄
⁶C₃ ⁷C₃
Answer: B
Question: There are 5 physics books and 1 chemistry book on shelf P and 4 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?
Choices:
1/35
1/30
1/25
1/20
Answer: B
Question: A man gets a simple interest of Rs.600 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choices:
s.1056
s.1150
s.1230
s.1256
Answer: C
Question: A rower can row upstream at 20 kph and downstream at 34 kph. What is the speed of the rower in still water?
Choices:
27
28
29
30
Answer: A
Question: The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Choices:
266
150
288
212
Answer: B
Question: 8+88+888+.....+8888........8888. There are 21 “8” digits in the last term of the series.
Find the last three digits of the sum.
Choices:
584
784
968
768
Answer: C
Question: A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one copy of Midsummer’s Night Dream. In how many distinct arrangements can these ten books be put in order on a shelf?
Choices:
1,512
2,520
6,400
12,600
Answer: D
Question: Find 12 ×× 19
Choices:
228
208
277
101
Answer: A
Question: The average age of a class of 19 students is 20 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
Choices:
41
40
42
43
Answer: B
Question: The distance between a sports store and a recreation center is approximately 3.34 x 10^5 inches. Which of the following is closest to the distance between the sports store and a recreation center, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
Choices:
8.98
8.56
9.21
9.03
Answer: B
Question: If 25% of a class averages 80% on a test, 50% of the class averages 65% on the test, and the remainder of the class averages 90% on the test, what is the overall class average?
Choices:
65%
70%
75%
80%
Answer: C
Question: Two numbers x and y are such that the sum of 3% of x and 4% of y is one-third of the sum of 2% of of x and 8% of y. Find the ratio of x : y.
Choices:
6:7
4:7
2:5
None of these
Answer: B
Question: How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 7, without any of the digits repeating?
Choices:
96
100
81
72
Answer: A
Question: 20 people going to one temple. (some time waste data) They want Rs. 20. For men-Rs.3, women-Rs.2, children-50 paisa. How much money spends for men, children and women?
Choices:
3,7,10
5,7,10
6,7,10
7,7,10
Answer: A
Question: Number of students in institutes A and B were in the ratio of 7 : 15 respectively in 2012. In 2013, the number of students in institute A increased by 25% and number of students in institutes B increased by 26%, then what was the respective ratio between number of students in institutes A and B?
Choices:
24 : 55
24 : 53
25 : 53
25 ratio 54
Answer: D
Question: A land owner needs to fence his semicircular land leaving an opening of length of 3m for access. The radius of the semicircular plot is 7m. How long would be the fence in meters?
Choices:
33
36
44
51
Answer: A
Question: A man has Rs. 560 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
75
105
120
Answer: C
Question: What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2?
Choices:
x - 3
x - 1
x
x + 1
Answer: A
Question: The grade point average of one third of the classroom is 60; the grade point average of the rest is 66. What is the grade point average of the whole class?
Choices:
56
64
65
66
Answer: B
Question: If half of 5 were 3, that would one-third of 10 be
Choices:
4
6
8
1
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 2/3%
33 1/3%
37 1/3%
23 1/3%
Answer: B
Question: Which of the following has 15^80 as a factor?
Choices:
30^40
40^80
60^60
90^80
Answer: D
Question: Cream costs twice as much as skim milk. A certain brand of milk is 1/3 cream and 2/3 skim milk. What fraction of the cost of this brand is due to the cream?
Choices:
1/2
2/5
3/5
3/4
Answer: A
Question: The number 110 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
18
15
14
13
Answer: A
Question: Given two sets A = {1,1,4,4,5,5} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
Choices:
1/8
1/7
1/2
3
Answer: C
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.22000, my total savings for the two-year is
Choices:
s. 9000
s. 9900
s. 9990
s. 10000
Answer: A
Question: If the SI on a certain sum of money is 4/25 of the sum and the rate per cent equals the number yrs, then the rate of interest/annum is?
Choices:
4%
6%
7%
8%
Answer: A
Question: A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and other digits are correct, then the correct answer would be:
Choices:
555181
555681
556581
555581
Answer: B
Question: One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
Choices:
120 sq. m
125 sq. m
130 sq. m
110 sq. m
Answer: A
Question: Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 60 marks. How many sums did Sandy get correct?
Choices:
20
22
24
26
Answer: C
Question: The distance between two planets is 4 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)
Choices:
9.9 × 10^6
9.3 × 10^7
9.9 × 10^7
1.2 × 10^6
Answer: D
Question: Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 45 miles per hour. How many miles from the station was train A overtaken by train B?
Choices:
120
140
160
180
Answer: D
Question: The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is?
Choices:
9.832 kg
6.830 kg
6.832 kg
6.862 kg
Answer: C
Question: How many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 5 percent sugar solution?
Choices:
6
8
10
12
Answer: C
Question: An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.
Choices:
1/204
1/207
1/202
1/201
Answer: A
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Choices:
3608
rs.3600
3613
6192
Answer: B
Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is?
Choices:
4.04%
4.14%
5%
5.13%
Answer: A
Question: Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/3 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
Choices:
1/15
2/15
1/6
2/10
Answer: C
Question: How many integers n greater than and less than 100 are there such that,if the digits of n are reversed, the resulting integer is n+9 ?
Choices:
6
7
8
9
Answer: C
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 12 o’clock in the afternoon?
Choices:
120°
180°
320°
None of these
Answer: A
Question: Which of the following could be the value of x, if |3x – 9| = 0?
Choices:
1/9
1/3
-1/3
3
Answer: D
Question: I. a^2 - 9a + 20 = 0,
II. 2b^2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?
Choices:
If a ≤ b
If the relationship between a and b cannot be established
If a > b
If a ≥ b
Answer: D
Question: How many ways are there to select a subcommittee of 11 members from among a committee of 17?
Choices:
12376
28791
27711
12111
Answer: A
Question: What least number should be added to 1053, so that the sum is completely divisible by 23
Choices:
B)1
C)2
D)3
E)5
Answer: D
Question: The sum of three consecutive even numbers is 93. Find the middle number of the three?
Choices:
35
39
31
12
Answer: C
Question: A boy has 9 trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
140
104
135
125
Answer: C
Question: The average age of husband, wife and their child 3 years ago was 25 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
40
34
21
11
Answer: B
Question: The effective annual rate of interest corresponding to a nominal rate of 14% per annum payable half-yearly is?
Choices:
16.07%
16.08%
14.49%
16.19%
Answer: C
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Choices:
1976 sq m
4312 sq m
1987 sq m
1678 sq m
Answer: B
Question: In a certain province in France there are 13 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choices:
78
75
98
72
Answer: A
Question: At 1:00 PM, Train X departed from Station A on the road to Station B. At 1:40 PM, Train Y departed Station B on the same road for Station A. If Station A and Station B are p miles apart, Train X’s speed is r miles per hour, and Train Y’s speed is s miles per hour, how many hours after 1:00 PM, in terms of p, r, and s, do the two trains pass each other?
Choices:
(p - 0.5s)/(r + s)
0.5 + (p - 0.5r)/r
(p - 0.5r)/(r + s)
0.5 + (p - 0.5r)/(r + s)
Answer: C
Question: The cost price of 30 articles is the same as the selling price of x articles. If the profit is 20%, what is x?
Choices:
21
23
25
27
Answer: C
Question: A certain psychologist charges $20 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $300, what is the total charge to a patient who receives only 3 hours of therapy ?
Choices:
$135
$150
$165
$188
Answer: D
Question: A man can row 5 kmph in still water. When the river is running at 2.3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
3.48
2.98
3.78
4.21
Answer: C
Question: D is the set of all the multiples of 3 between 30 and 100. E is the set of all the factors of 400. Set D and Set E have how many numbers in common?
Choices:
0
3
5
12
Answer: A
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Choices:
420 m
167 m
287 m
265 m
Answer: A
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Choices:
5 4/8 km
6 1/8 km
4 3/8 km
3 2/8 km
Answer: C
Question: Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position?
Choices:
38
37
45
92
Answer: C
Question: If 10^(b-1)< 0.000125 <10^b, what is the value of an integer b?
Choices:
-3
-2
3
4
Answer: A
Question: A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage?
Choices:
10% Loss
30% Loss
40% Loss
50% Loss
Answer: A
Question: At 1:00, Annie starts to bicycle along a 84 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
Choices:
3:00
4:00
5:00
6:00
Answer: B
Question: How many integers from 20 to 150, inclusive, are divisible by 3 but not divisible by 7?
Choices:
37
42
45
55
Answer: A
Question: The product of all the prime numbers less than 12 is closest to which of the following powers of 10 ?
Choices:
10^4
10^8
10^5
10^9
Answer: A
Question: A restaurant meal cost $40 and there was no tax. If the tip was more than 5 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
Choices:
$41 and $46
$41 and 45
$43 and $46
$41 and $47
Answer: D
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. 121.75
Rs. 124.75
Rs. 118.75
Rs. 234.75
Answer: B
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 70/r years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
Choices:
$20000
$12000
$10000
$9000
Answer: A
Question: In an intercollegiate competition that lasted for 3 days, 115 students took part on day 1, 80 on day 2 and 100 on day 3. If 50 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 40 took part on all three days, how many students took part only on day 3?
Choices:
20
40
55
60
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
177
120
288
271
Answer: B
Question: If d is a positive integer, and if the units' digit of d^2 is 4 and the units' digit of (d + 1)^2 is 1, what is the units' digit of (d + 2)^2 ?
Choices:
0
4
6
8
Answer: A
Question: Find the number of square tiles to cover the floor of a room measuring 10.5 m * 9.5 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
476
1440
428
413
Answer: B
Question: If p=25*343*9/1575, how many digits are in p?
Choices:
2
1
4
3
Answer: A
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
7
6
5
1
Answer: B
Question: How many four digit even numbers do not use any digit more than once
Choices:
2160
None of these
2460
2520
Answer: B
Question: Given that 0 < a < b < c < d, which of the following the largest ?
Choices:
(c+d) / (a+b)
(b+c) / (a+d)
(b+d) / (a+c)
None of these
Answer: A
Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
Choices:
1456
1699
1485
1689
Answer: C
Question: If a new town has 350 residents, and the population doubles every 10 years, what will be its population after 75 years?
Choices:
63357 residents
12068 residents
15075 residents
18102 residents
Answer: A
Question: If 4f^4 − 41f^2 + 100 = 0, then what is the sum of the two greatest possible values of f ?
Choices:
9/2
7
41/4
25
Answer: A
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
54%
57%
60%
65%
Answer: B
Question: If X and Y are consecutive integers (Y>X), which of the following statements could be false?
1. The multiplication XY is an even number.
2. (Y/X) > 1.
3. (X + Y) is always an odd number.
Choices:
2 only.
1 and 2 only.
1 and 3 only.
1, 2 and 3
Answer: A
Question: Of the 100 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Choices:
20
50
80
100
Answer: A
Question: An alloy weighing 26 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
Choices:
9
12
34
48
Answer: C
Question: By approximately what percent is x greater than 1/3 if (2/3)(x) = 1?
Choices:
516%
461%
350%
290%
Answer: C
Question: By travelling at 50 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Choices:
24 kmph
25 kmph
26 kmph
27 kmph
Answer: B
Question: If e = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =
Choices:
-1
0
2
None of the above
Answer: C
Question: Three times the first of three consecutive odd integers is 4 more than twice the third. The third integer is:
Choices:
11
13
16
17
Answer: C
Question: A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
Choices:
4.14 kmph
4.25 kmph
4.4 kmph
4.8 kmph
Answer: A
Question: John and Jacob set out together on bicycle traveling at 15 and 10 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Choices:
1 1/2
3 1/2
4
4 1/2
Answer: A
Question: A fruit seller had some mangoes. He sells 30% mangoes and still has 280 mangoes. Find the number of mangoes he had.
Choices:
400 mangoes
287 mangoes
408 mangoes
289 mangoes
Answer: A
Question: A certain sum of money at simple interest amounted Rs.860 in 10 years at 3% per annum, find the sum?
Choices:
661.54
663.54
664.54
665.54
Answer: A
Question: A boat running downstream covers a distance of 12 km in 2 hours while for covering the same distance upstream,it takes 4 hours.What is the speed of the boat in still water ?
Choices:
4.5 km/hr
8 km/hr
Data inadequate
None of these
Answer: A
Question: A sum of money was invested in a bank at 8% simple interest p.a. for 3 years. Instead had it been invested in mutual fund at 8.5% p.a. simple interest for 4 years, the earning would have been Rs.500 more. What is the sum invested?
Choices:
Rs.5000
Rs.3500
Rs. 5500
Rs. 6500
Answer: A
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 6 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
45
60
90
120
Answer: A
Question: The population of a bacteria colony doubles every day. If it was started 8 days ago with 3 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:
768
13122
2048
4096
Answer: B
Question: There are 20 poles with a constant distance between each pole. A car takes 24 seconds to reach the 12th pole . How much time will it take to reach the last pole?
Choices:
17.45 s
35.75 s
41.45 s
None of these
Answer: C
Question: A train 175 m long running at 36 kmph crosses a platform in 40 sec. What is the length of the platform?
Choices:
266
225
277
232
Answer: B
Question: A certain company charges $25 per package to ship packages weighing less than 5 pounds each. For a package weighing 5 pounds or more, the company charges an initial fee of $25 plus $6 per pound. If the company charged $36 to ship a certain package, which of the following was the weight of the package, in pounds?
Choices:
6
12
18
20
Answer: A
Question: A trader bought a car at 15% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
119
112
113
115
Answer: A
Question: Machine A and machine B are each used to manufacture 330 sprockets. It takes machine A 10 hours longer to produce 330 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
Choices:
4
6
8
3
Answer: D
Question: A man can row upstream at 45km/hr and down stream at 36km/hr find mans rate of the current ?
Choices:
9.6km/hr
4.5km/hr
5.9km/hr
9.8km/hr
Answer: B
Question: What is the 11th term in this sequence?
1,4,5,11,18,29,49,80,129,211,
Choices:
442
345
342
362
Answer: C
Question: A deer is standing 70 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 40 meters from the tunnel. If the deer ran in the opposite direction it would barely escape out the eastern entrance just as the train came out of the eastern entrance. How long is the tunnel in meters?
Choices:
160
520
190
720
Answer: A
Question: In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
Choices:
20
40
50
60
Answer: A