antoine-444/aqua_rat_dataset huggingface dataset:
Question: Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?
Choices:
12
15
18
21
Answer: B
Question: Lines y=4√7·x−3 and y=3√7·x−1 intersect at what height above the x axis?
Choices:
12
5√7
0
5
Answer: D
Question: For all even numbers n, h(n) is defined to be the sum of the even numbers between 2 and n, inclusive. What is the value of h(16)/h(10) ?
Choices:
3
2.4
18
60
Answer: B
Question: What is the least number of square tiles required to pave the floor of a room 13 m 44 cm long and 4m 44 cm broad?
Choices:
7804
4144
7844
None
Answer: B
Question: Find the value of 80641 x 9999 = m?
Choices:
806436469
807538799
806329359
817431046
Answer: C
Question: 45 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
13
14
15
16
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
47%
44%
46%
43%
Answer: B
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is ?
Choices:
17/25
17/21
17/28
17/12
Answer: A
Question: Machine–X produces 50% of the total output and Machine-Y produces 75% of the total output. An average of 13 units out of a thousand goods manufactured by Machine-X and 4 unit of 500 units produced by Machine-X prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Choices:
0.16
0.1
0.05
0.01
Answer: D
Question: In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers succeding it. What is x+y?
Choices:
113
163
213
131
Answer: A
Question: Find the odd man out. 1, 27, 216, 512, 1024, 1331
Choices:
1024
27
1
2
Answer: A
Question: 2^(10) + 2^(11) + 2^(12) + ... + 2^(24) + 2^(25) =
Choices:
2^9(2^(12)-1)
2^10(2^(14)-1)
2^10(2^(16)-1)
2^11(2^(17)-1)
Answer: C
Question: On a track for remote controlled racing cars, racing car A completes the track in 55 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again.
Choices:
325
385
425
None of these
Answer: B
Question: The distance between two cities A and B is 600 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Choices:
07 AM
01 PM
05 PM
03PM
Answer: B
Question: Three numbers are in the ratio 3:4:5. The largest number value is 40. Find difference between Smallest & largest number is?
Choices:
24
16
28
30
Answer: B
Question: If letters of the work KUBER are written in all possible orders and arranged as in a dictionary, then the rank of the word KUBER will be:
Choices:
67
65
69
NONE
Answer: A
Question: A car left town A towards town B driving at a speed of V = 32 km/hr. After 3 hours on the road the driver stopped for 15 min in town C. Because of a closed road he had to change his route, making the trip 28 km longer. He increased his speed to V = 40 km/hr but still he was 30 min late. Find the distance the car has covered.
Choices:
115
116
117
118
Answer: B
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 100 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
11.9
16
20
18
Answer: A
Question: The sum of all consecutive odd integers from −31 to 41, inclusive, is
Choices:
135
150
165
185
Answer: D
Question: A retailer buys 40 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Choices:
10
12
18
20
Answer: A
Question: A chemical supply company has 60 liters of a 45% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution?
Choices:
6
20
24
30
Answer: A
Question: Three candidates contested an election and received 1136, 8636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
Choices:
52.1%
57%
58%
59%
Answer: A
Question: The diagonal of a rhombus are 25 m and 50 m. Its area is:
Choices:
800
700
625
650
Answer: C
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 50 overs to reach the target of 282 runs?
Choices:
5.5
7.4
5
6
Answer: C
Question: If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is more than 18?
Choices:
1/15
2/15
1/45
2/45
Answer: C
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 54% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Choices:
50%
25%
19%
10%
Answer: C
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1200 in total compensation, how many total hours did he work that week?
Choices:
60
44
48
52
Answer: A
Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is?
Choices:
2778
2788
2200
2344
Answer: C
Question: A group consists of 4 men, 6 women and 2 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Choices:
240
287
278
281
Answer: A
Question: The three competitors on a race have to be randomly chosen from a group of five men and three women. How many different such trios contain at least one woman?
Choices:
15
16
30
46
Answer: D
Question: The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 30% more than the price of the other, what is the price of each of these two oranges?
Choices:
Rs 11.1, Rs 14.9
Rs 10, Rs 16
Rs 12, Rs 14
None of these
Answer: A
Question: What will come in place of the x in the following Number series? 1, 2, 12, 7, 23, 12, 34, x
Choices:
15
16
17
18
Answer: C
Question: In a garden, there are yellow and green flowers which are straight and curved. If the probability of picking a green flower is 1/6 and picking a straight flower is 1/2, then what is the probability of picking a flower which is yellow and straight
Choices:
1/8
1/4
3/7
7/8
Answer: C
Question: A man swims downstream 24 km and upstream 12 km taking 6 hours each time, what is the speed of the man in still water?
Choices:
8
10
4
3
Answer: D
Question: A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 66 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used?
Choices:
20
36
44
48
Answer: B
Question: Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.81. What is the median gasoline price?
Choices:
$1.81
$1.92
$2.13
$2.15
Answer: A
Question: The product of three consecutive numbers is 210. Then the sum of the smallest two numbers is ?
Choices:
11
20
38
56
Answer: A
Question: A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
72.9
38:3
78:3
79:3
Answer: A
Question: If x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $48. If $2,000 is the total amount invested, how much is invested at 8 percent?
Choices:
b. $776.47
c. $892
d. $1108
e. $1200
Answer: A
Question: If x/5 + 9/x = 14/5, what are the values of 3x - 7?
Choices:
8 and 20
17 and 21
12 and 29
17 and 29
Answer: A
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 2200, how many purple chips were selected?
Choices:
1
3
4
5
Answer: A
Question: increasing of length and breadth is proposional..length=6 which changes into 21 and breadth changes to 14..what was the previous value of breadth??
Choices:
4
2
5
6
Answer: A
Question: Arun and Varun appeared at an examination. Arun secured 9 marks more than Varun and his marks was 56% of the sum of their marks. What are the marks obtained by them
Choices:
42, 33
44, 33
44, 36
44, 37
Answer: A
Question: Compute the remainder when:
56666...66665:(2016 sixies)
is divided by 17.
Choices:
3
4
5
6
Answer: B
Question: Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
Choices:
4 hours
5 hours
1 hour
None of these
Answer: A
Question: Mr. Ortiz has to successfully interview 90% of his assigned households. He was
assigned 500 households. He has interviewed 430 households so far. Has he met
his goal?
Choices:
450
650
750
850
Answer: A
Question: The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 245, then the mean profit for the last 15 days would be
Choices:
Rs. 350
Rs. 275
Rs. 455
None of these
Answer: C
Question: Find the volume and surface area of a cuboid 16 m long, 14 m broad and 7 m high.
Choices:
858 cm^2
838 cm^2
868 cm^2
None of them
Answer: C
Question: If x is a positive integer with fewer than 3 digits, what is the probability W that x*(x + 1) is a multiple of either 4 or 5?
Choices:
2/25
8/99
49/100
86/99
Answer: D
Question: Exactly 15% of the reporters for a certain wire service cover local politics in Country X. If 25% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Choices:
42%
44%
66%
84%
Answer: C
Question: What least number must be subtracted from 2000 to get a number exactly divisible by 17 ?
Choices:
11
13
14
15
Answer: A
Question: The least number which should be added to 1920 so that the sum is exactly divisible by 5,6,4 and 3 is :
Choices:
13
23
33
28
Answer: D
Question: Marco rode his dirt bike at 40 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 40mph, what was his average speed over the three hour portion of his ride?
Choices:
40 mph
70/3 mph
80/3 mph
34 mph
Answer: A
Question: Carmelo and LeBron participate in a six-person footrace on the basketball court during All-Star Weekend. If all six contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
Choices:
2520
360
120
42
Answer: B
Question: 60 % of 2 is equal to
Choices:
1.2
0.6
0.7
0.9
Answer: A
Question: Find the cost price of an item if by selling at Rs.320, a profit of 6% is made?
Choices:
Rs.300
Rs.500
Rs.100
Rs.310
Answer: A
Question: The speed at which a man can row a boat in still water is 6 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 80 meters?
Choices:
32
36
40
44
Answer: A
Question: A shopkeeper sold an article at $100 with 15% profit. Then find its cost price?
Choices:
$100
$91
$87
$69
Answer: C
Question: Bill is golfing with three friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aero flight tees that come by the pair. What is the minimum number of packages of Aero flight tees Bill must purchase to ensure that he has at least 20 golf tees for each member of his foursome, if he will buy no more than 3 packages of the generic golf tees?
Choices:
10
8
22
2
Answer: C
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Choices:
8 years
3 years
4 years
1 years
Answer: C
Question: There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
Choices:
6
9
15
21
Answer: D
Question: In a kilo meter race, if A gives B a 40 m start, A wins by 19 s. But if A gives B a 30 s start, B wins by 40 m. Find the time taken by B to run 5,000 m?
Choices:
450 s
750 s
825 s
925 s
Answer: B
Question: Which of the following CANNOT be a value of 5/(x–5)?
Choices:
-1/2
0
2
5
Answer: B
Question: The average weight of 4 person's increases by 3 kg when a new person comes in place of one of them weighing 70 kg. What might be the weight of the new person?
Choices:
82 kg
86 kg
Data inadequate
None of these
Answer: A
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
26
21
89
62
Answer: C
Question: When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?
Choices:
4.5
5.6
7
7.2
Answer: A
Question: What is the tens digit of 6^21?
Choices:
3
5
7
9
Answer: B
Question: Trapezoid ABCD has AB parallel to CD, with \ADC = 90o. Given that AD = 5, BC = 13
and DC = 18, compute the area of the trapezoid.
Choices:
40
50
60
70
Answer: C
Question: The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
Choices:
240
388
288
113
Answer: A
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 90 players took part in that tournament.
How many matches were played?
Choices:
89 matches.
77 matches.
66 matches.
55 matches.
Answer: A
Question: If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 30 minutes?
Choices:
170km
176.4km
180km
190km
Answer: B
Question: If 20m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Choices:
4m
6m
7m
6m/5
Answer: C
Question: 3 men or 6 women can do a piece of work in 21 days. In how many days will 12 men and 8 women do the same work?
Choices:
63/16 days
18/4 days
11/4 days
35/4 days
Answer: A
Question: An outlet pipe can empty 1/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
4/3
2/9
4/8
4/1
Answer: B
Question: Which one the following fractions has the Highest value?
Choices:
A)120/847
C)120/874
D)120/877
E)240/1700
Answer: A
Question: How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
Choices:
20.0 kgs
16.0 kgs
200.0 kgs
None of these
Answer: A
Question: The difference between the place values of 9 and 4 in the number 529435 is
Choices:
8900
8600
6970
None
Answer: B
Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 38 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:
420
440
447
490
Answer: D
Question: A and B started a business with their capitals Rs. 24,000 and 48,000 respectively. Annual profit will be distributed between them in the ratio
Choices:
2:3
1:2
1:5
2:5
Answer: B
Question: An article when sold for 200 fetches 25 per cent profit. What would be the percentage profit/loss if 6 such articles are sold for 1,056?
Choices:
10 per cent profit
5 per cent loss
5 per cent profit
None of these
Answer: A
Question: There are 4 girls and 4 boys. If they are to be seated in a row, what is the probability that no two girls sit together?
Choices:
B)6!5!/8!
C)2*4!4!/8!
D)2∗6!6!/12!
E)6!7!/12!
Answer: B
Question: In a village they organize 4 programs for an festival. The festival occurs in 2 days. In how many ways that the 4 programs can be divided for 2 days festival?
Choices:
10
6
4
2
Answer: B
Question: Which of the following inequalities is equivalent to –2 < x < 4 ?
Choices:
| x – 1 | < 3
| x + 1 | < 3
| x + 2 | < 4
None of the above
Answer: A
Question: The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 2500?
Choices:
9
11
13
15
Answer: B
Question: A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 69 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
Choices:
2100
2200
2300
2400
Answer: C
Question: It takes Avery 2 hours to build a brick wall while Tom can do it in 5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Choices:
30 minutes.
40 minutes.
1 hour and 30 minutes
1 hour and 20 minutes
Answer: C
Question: E=√[2√63 + 2/(8+3√7)] =
Choices:
4 + 3√7
8
4
√7
Answer: C
Question: T is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can T be?
Choices:
349,999
350,000
399,999
400,000
Answer: A
Question: A box of paper clips contains 100 clips. If an office uses paper clips at the rate of 15 per 100 pieces of outgoing mail, how many boxes will be required for the 4000 pieces of outgoing mail?
Choices:
5 boxes
6 boxes
7 boxes
8 boxes
Answer: B
Question: A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 3 is
Choices:
189
221
227
230
Answer: A
Question: A camera lens filter kit containing 5 filters sells for $52.50. If the filters are purchased individually, 2 of them are priced at $6.45 each, 2 at $11.05 each, 1 at $15.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
Choices:
4.76%
5.76%
6.76%
7.76%
Answer: A
Question: In an objective competitive exam, a correct answer score 4 marks and on a wrong answer 2 marks are negatively added. A student scores 420 marks from 150 question. How many answers were correct ?
Choices:
155
140
120
165
Answer: C
Question: Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 4 answer choices, and Kim answers every question, in how many different ways can she complete the test?
Choices:
a 4^8
c 5^8
d 8^5
e 40^40
Answer: A
Question: Out of 10 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:
5/2
5/3
5/6
5/8
Answer: C
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Choices:
88
20
72
27
Answer: B
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 16000, then find his savings?
Choices:
3200
3201
2319
7591
Answer: A
Question: The average age of 15 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is?
Choices:
17 years
26 years
14 years
12 years
Answer: B
Question: A 6-liter solution is 25% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?
Choices:
2.4
2.7
3.0
3.3
Answer: C
Question: How many integers are divisible by 3 between 10! and 10! + 20 inclusive?
Choices:
7
8
9
10
Answer: A
Question: A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
Choices:
278
287
140
272
Answer: C
Question: A can do double work of B.so,A take 15 days less than B in doing a work.then both together in how much days will finish that work?
Choices:
10
15
8
16
Answer: A
Question: What is the units digit of (7!*6! + 6!*4!)/2?
Choices:
0
2
3
4
Answer: A
Question: 450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ?
Choices:
12532
12610
12430
12560
Answer: A
Question: Insert the missing number
3, 7, 6, 5, 9, 3, 12, 1, 15, ...
Choices:
33
-1
3
-3
Answer: B
Question: A number increased by 15% gives 1150. The number is
Choices:
1000
450
500
520
Answer: A
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
Choices:
2.02%
2.21%
2.01%
2.08%
Answer: C
Question: Mandrake has to choose from 4 from 18 people. There are 3 girls, 5 boys , 10 children. What is total probability that he will choose 1G , 2B , 1C?
Choices:
2/7
3/7
4/7
5/51
Answer: D
Question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Choices:
200 m
400 m
600 m
120 m
Answer: A
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
Choices:
1/7
2/7
5/7
6/7
Answer: A
Question: Find the odd man out. 125, 127, 130, 135, 142, 153, 165
Choices:
165
153
130
None of these
Answer: A
Question: The average of 2, 8, 9, 10, 1 and x is 6. What is the value of x?
Choices:
8
7
6
3
Answer: C
Question: If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 555 will be:
Choices:
Rs. 200
Rs. 240
Rs. 150
None of these
Answer: C
Question: A salesperson receives a base salary of $800 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?
Choices:
$1,800
$2,600
$2,500
$2,800
Answer: B
Question: A, B and C started a business by investing Rs. 45000, Rs. 55000 and Rs. 60000 respectively. At the end of a year, they got a total profit of Rs. 11200. Find how much B gets more than A in the profit?
Choices:
Rs. 700
Rs. 710
Rs. 780
None of these
Answer: A
Question: The length of a rectangle is two - seventh of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 5929 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 25 units?
Choices:
440 sq.units
770 sq.units
550 sq.units
220 sq.units
Answer: C
Question: A box contains four cent coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
Choices:
2/5
3/5
4/5
3/4
Answer: C
Question: A boat goes 100 km downstream in 10 hours, and 60 km upstream in 30 hours. The speed of the stream is?
Choices:
2km/h
3km/h
(1/2) km/h
E)4
Answer: D
Question: A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 9)%. In terms of x, how many species of bacteria will the group be able to model?
Choices:
(x)(105 – x)
(100)(105 – x)
(x)*(109 - x)
(x-5)/100
Answer: C
Question: The ratio of red boxes to blue boxes in a certain warehouse is 15 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
Choices:
74
111
148
80
Answer: D
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/9
1/8
1/4
1/12
Answer: A
Question: Two members of a certain club are selected to speak at the next club meeting. If there are 66 different possible selections of the 2 club members, how many members does the club have?
Choices:
6
7
8
12
Answer: D
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
4
6
9
12
Answer: A
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
98
106
108
111
Answer: C
Question: Express 15 mps in kmph?
Choices:
54
90
27
21
Answer: A
Question: A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n?
Choices:
46
49
54
86
Answer: C
Question: A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
45(5/11)%
54(6/11)%
55%
65%
Answer: A
Question: If 60/x is an integer and 6/x is an integer, which of the following must be true? I. 6/x is an integer II. 12/x is an integer III. 15/x is an integer
Choices:
I only
III only
I, II only
II, III only
Answer: A
Question: Due to construction, the speed limit along an 7-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
4.37
10
15
24
Answer: A
Question: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following could be the difference of X and Y ?
Choices:
44
36
29
8
Answer: B
Question: Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Choices:
3 hours
2 hours
1 hour 45 minutes
None of these
Answer: A
Question: If 100<x<199 and 20<y<100, then the product xy CANNOT be equal to:
Choices:
1900
19,356.732
19,502
19,909
Answer: A
Question: 26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Choices:
39
60
Data inadequate
None of these
Answer: A
Question: A train of length 250 m crosses a bridge of length 120m in 20 seconds. What is the speed of train?
Choices:
27
66.6
22
72
Answer: B
Question: Two parallel sides of a trapezium are 4 cm and 5 cm respectively. The perpendicular distance between the parallel sides is 6 cm. Find the area of the trapezium.
Choices:
25cm2
26cm2
27cm2
28cm2
Answer: C
Question: In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 60 and a standard deviation of 12, which of the following is exactly 1.95 standard deviations more than the mean?
Choices:
b) 60
c) 72
d) 77.5
e) 83.4
Answer: D
Question: For how many values n is 2^x = x^2 ?
Choices:
Three
Two
None
More than Three
Answer: A
Question: In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 91% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?
Choices:
5%
2.5%
4.2%
6%
Answer: C
Question: Last week John spent 30 percent of his wages on recreation. This week, his wages are 25 percent less than last weekʼs wages and he spent 20 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week?
Choices:
70%
80%
90%
50%
Answer: D
Question: What number times (1⁄6)^2 will give the value of 6^3?
Choices:
36
216
1296
7776
Answer: D
Question: Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes. Find the amount of his profit or loss?
Choices:
lost 4 cents
broke even
gained 4 cents
gained 10 cents
Answer: B
Question: Find the area of a parallelogram with base 12 cm and height 10 cm?
Choices:
384 cm2
120 cm2
267 cm2
186 cm2
Answer: B
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 5 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/25
1/50
1/900
Answer: B
Question: Pipe P can drain the liquid from a tank in 3/4 the time that it takes pipe Q to drain it and in 1/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank?
Choices:
8/23
9/25
17/29
3/4
Answer: B
Question: In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 8P pots?
Choices:
8M
2M/15
480M
M/60
Answer: B
Question: The fourth proportional to 12, 16 and 18 is?
Choices:
24
88
99
26
Answer: A
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
15 cm2
76 cm2
17 cm2
35 cm2
Answer: D
Question: The sum of three numbers is 136. If the ratio between first and second be 2 : 3 and that between second and third is 5 : 3, then the second number is
Choices:
27
99
60
82
Answer: C
Question: sunil start from home at 4 pm and reaches school everyday at 5pm to pick up his children.on saturday the school got over ai 4 pm and children started walking towards home.sunil met them on the way and returned home 15min early.if speed of sunil is 35km/hr then for how many min did children walk? what is speed of children???
Choices:
5 km/hr
6 km/hr
7 km/hr
8 km/hr
Answer: A
Question: A train 75 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
Choices:
5 s
7 s
12 s
None of these
Answer: A
Question: A man purchases 2 watches for $ 560. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$210 and $ 350
$224 and $336
$560 and $560
$224 and $ 350
Answer: B
Question: A car travels 25km an hour faster than a bus for a journey of 500km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are
Choices:
25km/hr and 60 km/hr respectively
25km/hr and 50km/hr respectively
None of these
Cannot be determined
Answer: B
Question: A recycling facility is staffed by 7 floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid n times as much as a floor worker. If the manager’s wages account for 1/7 of all wages paid at the facility, what is the value of n?
Choices:
4/5
7/5
7/6
7/4
Answer: C
Question: The difference between the squares of two consecutive numbers is 37. Find the numbers.
Choices:
20-23
11-12
18-19
13-14
Answer: C
Question: A sells a bicycle to B at a profit of 75% and B sells it to C at a loss of 40%. Find the resultant profit or loss.
Choices:
5%
-5%
6%
-7%
Answer: A
Question: When 7 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
Choices:
3
8
32
30
Answer: C
Question: Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
Choices:
27/34
19/34
21/34
21/53
Answer: A
Question: A certain university will select 1 of 3 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
140
135
315
Answer: C
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
225 meter
230 meter
235 meter
240 meter
Answer: B
Question: How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
Choices:
65 Kg
13 Kg
63 Kg
23 Kg
Answer: C
Question: 22.32 + 583.122 + 42.42 = ?
Choices:
647.862
622.233
622.443
None of these
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:
4 years
6 years
8 years
9 years
Answer: B
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold $360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Choices:
180
240
280
320
Answer: B
Question: Find the simple interest on $10000 at 8% per annum for 12 months?
Choices:
$500
$650
$800
$1000
Answer: C
Question: Johnny borrows $50,000 from Tony at 3% daily interest compounded daily. How much does Johnny owe Tony after 4 weeks?
Choices:
50000*1.12
50000*2.12
50000*1.03^28
(50000*1.02)^28
Answer: C
Question: 893.7 – 573.07 – 95.007 = ?
Choices:
225.623
233.523
414.637
None of these
Answer: A
Question: A snail, climbing a 36 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
Choices:
14
15
20
21
Answer: B
Question: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?
Choices:
31.25
31
32
33
Answer: A
Question: What is the tens digit of 7^1001?
Choices:
0
2
3
4
Answer: A
Question: A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
2%
1%
6%
7%
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?
Choices:
6
5
7
9
Answer: C
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
266 m
987 m
270 m
256 m
Answer: C
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.1800. How much third person will get?
Choices:
800
600
1200
1000
Answer: A
Question: 4 shooters are hitting 1 out of 4 different targets. What is the probability that exactly one shooter will hit each target.
Choices:
4^4/4
4!/4
4!/4^4
1/4!
Answer: C
Question: Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 15, 12, and 18 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
25/12
11/4
Answer: C
Question: The average age 15 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
99
30
26
12
Answer: B
Question: The circulation for magazine Y in 1971 was 5 times the average (arithmetic mean) yearly circulation for magazine Y for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine Y ?
Choices:
5/14
9/14
11/14
1/2
Answer: A
Question: John has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
Choices:
55
56
57
58
Answer: A
Question: The average age of three boys is 28 years and their ages are in the proportion 4 : 6 : 8. The age of the youngest boy is:
Choices:
18 years
14 years
9 years
None of these
Answer: B
Question: The number 152 is equal to the sum of the cubes of two integers. What is the product of those integers?
Choices:
15
21
27
39
Answer: A
Question: Annie has 100 cards numbered 1 through 100. If she deals eight cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
Choices:
96!/100!
(93! X 8!)/100!
(96! X 8!)/100!
(97! X 4!)/100!
Answer: B
Question: The current ages of 3 individuals are in the ratio 4:7:9. 0.8 decades ago, the sum of their ages was 56. Find their current ages in years
Choices:
16, 28, 36
18, 30, 38
20, 32, 46
None of these
Answer: A
Question: How many solution does the expression x+3−−−−√=xx+3−−−−√x+3=xx+3 has?
Choices:
27
260
175
191
Answer: A
Question: The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 1,000,000 bacteria
Choices:
12
14
16
20
Answer: D
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
31.2
31.6
31.3
31.1
Answer: B
Question: If n is a positive integer, what is the remainder when (4^(4n+3))(6^n) is divided by 10?
Choices:
2
4
6
8
Answer: B
Question: A certain clock rings two notes at quarter past the hour, four notes at half past, and six notes at three-quarters past. On the hour, it rings eight notes plus an additional number of notes equal to whatever hour it is. How many notes will the clock ring from 1:00 p.m. through 5:00 p.m., including the rings at 1:00 and 5:00?
Choices:
95
102
103
115
Answer: C
Question: If (A+B) = 4, (B+C) = 7 and (C+D) = 5, what is the value of (A+D)?
Choices:
8.
7.
2.
-2.
Answer: C
Question: A man buys an item at Rs. 750 and sells it at the loss of 20 percent. Then what is the selling price of that item
Choices:
Rs. 760
Rs. 600
Rs. 960
None of these
Answer: B
Question: Find the sum of prime numbers lying between 60 and 75.
Choices:
201
211
272
None
Answer: C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 130 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
35
36
37
39
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 32 hours and 16 hours respectively. The ratio of their speeds is
Choices:
4 : 3
4 : 12
1 : 2
4 : 5
Answer: C
Question: 50 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
Choices:
180/7
50.4
64.8
90
Answer: C
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
30%
50%
40%
None of these
Answer: C
Question: Out of seven consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
Choices:
1920
2240
2520
2860
Answer: C
Question: What is the 27th digit to the right of the decimal point in the decimal form of 5/11?
Choices:
4
5
6
7
Answer: A
Question: In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia?
Choices:
48
72
96
108
Answer: A
Question: At a local appliance manufacturing facility, the workers received a 40% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Choices:
28%
20%
17%
12%
Answer: A
Question: A circular path of 16 m radius has marginal walk 3 m wide all round it. Find the cost of leveling the walk at Rs.2 per m2?
Choices:
Rs.660
Rs.44
Rs.42
Rs.43
Answer: A
Question: If n = 2×3×5×7×11×13×15, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even
Choices:
II only
I and III
III only
None of the above
Answer: B
Question: By giving Rs. 50 to M, A would have the amount equal to what M had earlier. If the sum of the amounts with A and M is Rs. 650. What is the ratio of the amount with A to that with M earlier?
Choices:
5 : 3
2 : 1
7 : 6
None of these
Answer: C
Question: At Amiee’s Pet Shop, 10 cups of bird seed are used every 4 days to feed 6 parakeets. How many cups of bird seed would be required to feed 10 parakeets for 5 days?
Choices:
28.7
2 1/2
50
25
Answer: A
Question: If a and b are positive integers and b ≠ 1, then ab(b −1) is
Choices:
ab^2-ab
1/b
1/a
1/a+1/b
Answer: A
Question: The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas.
Choices:
4:25
4:29
4:25
4:21
Answer: A
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
272
892
750
298
Answer: C
Question: In a certain lottery drawing, two balls are selected at random from a container with 50 balls, numbered from 1 to 50, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
Choices:
$2.45 x 10^6
$1.00 x 10^7
$1.05 x 10^7
$9.90 x 10^7
Answer: A
Question: A man walking at a constant rate of 6 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 12 miles per hour. The woman stops to wait for the man 10 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?
Choices:
15
10
20
25
Answer: B
Question: In how many different ways can the letters of the word ‘RED’ be arranged ?
Choices:
6
24
120
720
Answer: A
Question: An empty wooden vessel weighs 16% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Choices:
5/9
1/24
4/9
7/15
Answer: D
Question: What is the smallest number which is a perfect square and is divisible by 16, 20 and 24?
Choices:
3600
2677
97Y67
272
Answer: A
Question: Find the number of Zeros in: (1)^1 x (2)^2 x (3)^3 x (4)^4 x ......(99)^99 x (100)^100
Choices:
1300
1400
1500
None of these
Answer: A
Question: What is the area D of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Choices:
85.
125.
225.
It cannot be determined from the information given
Answer: C
Question: An ice cream cone is three inches tall and its top is a circle with diameter two
inches. The cone is lled with ice cream, such that the interior of the cone is entirely full.
The cone is topped with a hemisphere of ice cream with diameter two inches. What is the
total volume, in cubic inches, of the ice cream in and atop the cone?
Choices:
4/3 π
3/2 π
5/3 π
2π
Answer: C
Question: On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
Choices:
$15.5
$23.5
$100
$105
Answer: B
Question: Pipe A can fill a tank in 20 hours, pipe B in 20 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2.5
7
7.5
None
Answer: C
Question: Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 16 = f(x – 6) ?
Choices:
1
6
7
13
Answer: A
Question: If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Choices:
s.595
s.590
s.580
s.585
Answer: D
Question: How many positive integers less than 100 have a remainder of 11 when divided by 13?
Choices:
11
8
9
10
Answer: A
Question: For which of the following functions does f(−q)=−f(q) for all real number values of x?
Choices:
q^2−q^6
q^5/q^7
q^9/(q^5+1)
q^5/(q^2+1)
Answer: D
Question: If the perimeter of square region E and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of E
Choices:
24:25
5:6
4:5
4:9
Answer: A
Question: In a certain accounting class of 90 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 70%, what was the average score for the entire class?
Choices:
63%
65%
66%
67%
Answer: A
Question: If the product of the integers j, k, l and m is 770, and if 1 < j< k< l< m, what is the value of j+ m?
Choices:
13
16
18
21
Answer: A
Question: For prime number y, y>3. Which of the following could be the remainder when y^3 is divided by 12?
Choices:
3
4
5
6
Answer: C
Question: It costs $2 for the first 1/4 hour to use the bathroom. After the first ¼ hour it costs $8 per hour. If a certain customer uses the bathroom for 1 hour, how much will it cost him?
Choices:
$8
$26
$7
$2.99
Answer: A
Question: A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Choices:
9:5
4:7
5:6
None of these
Answer: A
Question: Each day, Jane swims a certain number of lengths. On day 1, she swims 8 lengths. Each day, she swims 8 more lengths than the day before. What is the average number of lengths she swims each day in the first week?
Choices:
16
32
34
40
Answer: B
Question: How many 4-digit W numbers (ABCD) can be formed such that |A – D| = 2?
Choices:
1,900
1,800
1,600
1,500
Answer: D
Question: A single discount equivalent to the discount series of 14%, 10% and 5% is?
Choices:
26.47
31.67
31.47
26.17
Answer: A
Question: What will be the remainder if 2^300 is divided by 4?
Choices:
2
3
4
5
Answer: C