antoine-444/aqua_rat_dataset huggingface dataset:
Question: A professional janitor can clean a certain high school in 8 hours, working at a constant rate. A student sentenced to detention can clean that same high school in (10*2) hours, also working at a constant rate. If the student is paid $7 total per hour and the janitor is paid $21 per hour, how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together?
Choices:
-$6
$0
$6
$8
Answer: D
Question: If the average (arithmetic mean) of five consecutive integers is k + 2, then the product of the greatest and least integer is
Choices:
k^2 - 2k + 1
k^2 + 4k
k^2 + 6k + 9
k^2 + 4k - 12
Answer: B
Question: If 313,252 football shoes need to be placed in boxes and each box can contain at most 11 pair of football shoes. How many pair of football shoes will be in the last unfilled box?
Options:
Choices:
5 football shoes
4 football shoes
7 football shoes
9 football shoes
Answer: A
Question: In the equation ax^2 + bx + c = 0 a, b, and c are constants, and abc # 0. If one root of the equation is -2, and b = 6a then which of the following is c equal to?
Choices:
a/8
6a
8a
12a
Answer: C
Question: A car during its journey travels 30 minutes at a speed of 40 kmph, another 45 minutes at a speed of 80 kmph, and 2 hours at a speed of 50 kmph.The average speed of the car is
Choices:
55.38 kmph
50.02 kmph
44.02 kmph
None of these
Answer: A
Question: A tourist purchased a total of $1,550 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,320
$1,290
$1,270
$1,150
Answer: A
Question: Two persons A and B can complete a piece of work in 40 days and 60 days respectively. If they work together, what part of the work will be completed in 6 days?
Choices:
1/3
1/6
1/2
1/4
Answer: D
Question: A trader has 60 kg of rice, a part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4% . What is the quantity sold at 14% profit and that at 6% loss?
Choices:
6 and 54 kg
15 and 35 kg
20 and 30 kg
40 and 30 kg
Answer: A
Question: Sum of products of three numbers taken two at a time is 131. Sum of squares of the three numbers is 138. What is the sum of the three numbers?
Choices:
30
20
22
21
Answer: B
Question: What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
Choices:
Rs. 551.25
Rs. 551.21
Rs. 551.22
Rs. 551.23
Answer: A
Question: P is a prime number. If 6p is between 15 and 95, which of the following Y can be a value of 7p + 2?
Choices:
Y=79
121
65
21
Answer: A
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
Choices:
1.44%
1.84%
1.54%
1.24%
Answer: A
Question: Peter rolls three dice at the same time. What is the probability that all the dices will show the same number?
Choices:
b) 1/36
c) 1/6
d) 1/36
e) 1/3
Answer: C
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
Choices:
10 a.m.
9 a.m.
3 a.m.
6 a.m.
Answer: B
Question: Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 1.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
Choices:
1/18
1/10
2
30
Answer: A
Question: Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income after a year was Rs.7000. How much did he invest at the rate of 10%?
Choices:
Rs.40,000
Rs.12,000
Rs.20,000
None
Answer: A
Question: From a pack of 52 cards, 1 card is drawn at random. What is the probability that a red king is drawn?
Choices:
1/4
1/13
1/26
1/52
Answer: C
Question: A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4½ % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is
Choices:
3years
4 years
5 years
6 years
Answer: B
Question: In a class exactly 10% students get 70 marks, exactly 25% get 80 marks, exactly 15% get 85 marks, exactly 25% get 90 marks and remaining get 95 marks.what is the minimum number of students in the class if the avg. of sum of marks is an even no.
Choices:
20
100
120
200
Answer: A
Question: What is the largest 4 digit number exactly divisible by 88
Choices:
9999
9988
9944
9966
Answer: C
Question: If m is a positive integer, and m/15 = 8.2, what is the remainder T when m is divided by 15?
Choices:
B.2
C.3
D.4
E.8
Answer: B
Question: The greatest common divisor of two positive integers is 25. If the sum of the integers is 350, then how many such pairs are possible?
Choices:
2
3
4
5
Answer: B
Question: If an amount of Rs 41,910 is distributed equally
amongst 22 persons, how much amount would each
person get?
Choices:
Rs 1905
Rs 745
Rs 765
None
Answer: A
Question: Rajan buys an old scooter for Rs. 7400 and spends Rs. 600 on its repairs. If he sells the scooter for Rs. 8800, his gain percent is :
Choices:
20%
10%
5%
None of these
Answer: A
Question: Find the slope of the line perpendicular to the line y = (1/6)x - 7
Choices:
2
-6
4
5
Answer: B
Question: If two dies are thrown simultaneously what is the prob. of one of the dice getting face 6 ?
Choices:
11/36
12/35
1/36
5/36
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 225o. Find its perimeter?
Choices:
92
93
94
124.5
Answer: D
Question: If the productivity of a brigade grows by 5% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?
Choices:
0.82
1.155
1.21
1.44
Answer: B
Question: Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 4, while all other numbers remain the same, what is the new average of Set S?
Choices:
6.6
6.8
6.85
6.9
Answer: A
Question: There are 12 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
Choices:
18
24
36
48
Answer: A
Question: A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is :
Choices:
260
270
280
290
Answer: C
Question: If the compound interest on a certain sum for 2 years at 12% p.a. is Rs.1590, What would be the simple interest for same rate and same period?
Choices:
Rs.1500
Rs.1550
Rs.1650
Rs.1750
Answer: A
Question: If in a certain sequence of consecutive multiples of 50, the median is 825, and the greatest term is 1050, how many terms that are smaller than 825 are there in the sequence?
Choices:
5
8
12
13
Answer: A
Question: In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Choices:
25/117
1/50
3/25
4/25
Answer: D
Question: The current of a stream runs at the rate of 5 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
B)2.6
C)8.83
D)6.69
E)3
Answer: B
Question: Which of the following numbers should not be included in the set?
331, 482, 551, 263, 384, 242, 111
Choices:
384
242
111
None of these
Answer: A
Question: The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter
Choices:
16500
27778
27788
27781
Answer: A
Question: In a class composed of x girls and y boys what part of the class is composed of girls
Choices:
x/xy
x/(x + y)
y/xy
1/xy
Answer: B
Question: If 4 persons can do 4 times of a particular work in 4 days, then, 7 persons can do 7 times of that work in?
Choices:
3 days
5 days
4 days
9 days
Answer: C
Question: A man walking at a rate of 10km/hr crosses a bridge in 10 minutes. The length of the bridge is?
Choices:
1492
1667
1254
1112
Answer: B
Question: 3^13 is equal to which of the following?
Choices:
1,595,423
1,595,477
1,595,432
1,595,409
Answer: A
Question: In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 33, find the number?
Choices:
13919
13119
13016
12015
Answer: B
Question: In the xy-plane, the point (-2, 1) is the center of a circle. The point (-2, -3) lies inside the circle and the point (4, 1) lies outside the circle. If the radius r of the circle is an integer, then r =
Choices:
3
4
5
6
Answer: C
Question: If the simple interest on a sum of a money for 2 years at 5% per annum is $50 what is the compound interest on the sum of the same rate and same time
Choices:
$78.89
$88.45
$51.25
$78.24
Answer: C
Question: Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 3 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
1/3
3/7
1/2
4/7
Answer: A
Question: A man buys an article for 15% less than its value and sells it for 15% more than its value. His gain or loss percent is:
Choices:
20% profit
less than 35% profit
more than 35% profit
None
Answer: C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
Rs.3630
Rs.3200
Rs.5600
Rs.5700
Answer: A
Question: 60% of a number is added to 120, the result is the same number. Find the number?
Choices:
300
266
99
121
Answer: A
Question: A batch of widgets costs p + 1 dollars for a company to produce and each batch sells for p(5 – p) dollars. For which of the following values of p does the company make a profit?
Choices:
3
5
6
7
Answer: A
Question: If 40% of a certain number is 160, then what is 20% of that number?
Choices:
100
120
30
80
Answer: D
Question: The value of “A” varies in inverse proportion as the square of “B”. If the value of “A” is equal to 40 when “B” is equal to 12. What would be the value of “A” when “B” is equal to 24 ?
Choices:
10
20
22
None of these
Answer: A
Question: A man spends 2/5 of his salary on house rent, 3/10 of his salary on food and 1/8 of his salary on Conveyance. If he has $1400 left with him,find his expenditure on food and Conveyance.
Choices:
$2400
$1000
$3000
$3400
Answer: D
Question: Find the simple interest on Rs. 78000 at 15(2/5) % per annum for 9 months.
Choices:
Rs. 9009
Rs. 9002
Rs. 9202
Rs. 9001
Answer: A
Question: The y intercept of a line L is 2. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
Choices:
II only
III only
I and II
I and III
Answer: B
Question: Find the next term in series - 25, 37, 49, 61, ?
Choices:
72
73
74
75
Answer: B
Question: If 1st October is Sunday, then 1st November will be
Choices:
monday
thursday
friday
Wednesday
Answer: D
Question: In what time a sum of money double itself at 3% per annum simple interest?
Choices:
33 1/3%
332 1/3%
33 9/3%
13 1/3%
Answer: A
Question: In honor of the year 2015, a donor has purchased 2016 books to be distributed evenly among the elementary schools in a certain school district. If each school must receive the same number of books, and there are to be no books remaining, which of the following is NOT a number of books that each school could receive?
Choices:
36
42
56
58
Answer: D
Question: Dravid has x dollars more than Gayle has, and together they have a total of y dollars. Which of the following represents the number of dollars that Gayle has?
Choices:
(y – x)/2y
(y – x)/2
3(y – x)/2
5(y – x)/2
Answer: B
Question: The y intercept of a line L is 1. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
Choices:
II only
III only
I and II
I and III
Answer: B
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32
75
28
11
Answer: A
Question: If t is an odd integer, which of the following must also be odd?
Choices:
t + t
3t + 3
2t + t
t^2 + 1
Answer: C
Question: For a certain exam,a score of 42 was 5 standard deviations below mean and a score of 67 was 2.5 standard deviations above mean.What was the mean score for the exam?
Choices:
76
78
58.67
82.2
Answer: C
Question: If M equals the sum of the odd integers from 1 to 111, inclusive, and T equals the sum of the even integers from 2 to 50, inclusive, what is the value of M + T?
Choices:
5550
6922
3786
5553
Answer: C
Question: The sum of three consecutive numbers is 87. The greatest among these three numbers is:
Choices:
28
29
30
31
Answer: C
Question: One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 18percent sugar by weight. The second solution was what percent sugar by weight?
Choices:
24%
42%
18%
8.5%
Answer: B
Question: Evaluate: |9 - 8(3 - 12)| - |5 - 11| = ?
Choices:
75
60
70
80
Answer: A
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 5 days and B leaves after 3 days from the beginning. How long will work lost?
Choices:
4
5
6
7
Answer: C
Question: How many plants will be there in a circular bed whose outer edge measure 33 cms, allowing 4 cm2 for each plant ?
Choices:
750
21
120
None of these
Answer: B
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how
many minutes does the bus stop per hour ?
Choices:
10 mintues
12 minutes
14 minutes
15 minutes
Answer: A
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 30%?
Choices:
229
277
308.75
2812
Answer: C
Question: In the xy-coordinate system, if (m, n) and (m + 4, n + k) are two points on the line with the equation x = 2y + 5, then k =
Choices:
1
2
5/2
4
Answer: B
Question: What is the decimal equivalent of (1/9)^2?
Choices:
0.0123
0.16
0.25
0.5
Answer: A
Question: Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
Choices:
24
44
54
64
Answer: A
Question: If a person buy radio worth Rs 2468 and pay 7% sales .how much price of radio should reduce to pay only Rs 2468.
Choices:
162
159
130
160
Answer: A
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:
260
270
280
290
Answer: C
Question: An integer n between 1 and 99, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 2 ?
Choices:
1/3
1/2
2/3
5/6
Answer: C
Question: Jim drove 1096 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Choices:
104 miles
456miles
887 miles
767 miles
Answer: A
Question: 385, 462, 572, 396, 423, 671, 264
Choices:
423
671
264
None of these
Answer: A
Question: On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 6 cups of tea. Last week Mo drank a total of 22 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Choices:
1
4
5
6
Answer: B
Question: Each week, Harry is paid x dollars per hour for the first 15 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Choices:
33
37
38
39
Answer: A
Question: The average runs of a cricket player of 5 innings was 20. How many runs must he make in his next innings so as to increase his average of runs by 3?
Choices:
42
44
76
84
Answer: B
Question: Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Choices:
2
6
5
7
Answer: C
Question: In a certain town, 80 percent of the registered voters are x and the rest are y. In a mayoral race, if 75 percent of the registered voters who are x and 20 percent of the registered voters who are y are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Choices:
64%
54%
55%
57%
Answer: A
Question: Zn = 2Zn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If Z5 = Q4 and Z7 = 316, what is the first value of n for which Qn is an integer?
Choices:
2
3
4
5
Answer: B
Question: If a and b are different positive integers and a + b+2 = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Choices:
II only
III only
I and II
I and III
Answer: A
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Choices:
8 : 7
8 : 3
8 : 5
8 : 76
Answer: A
Question: A shopkeeper sold an article offering a discount of 4% and earned a profit of 26%. What would have been the percentage of profit earned if no discount was offered?
Choices:
28
31
32
34
Answer: B
Question: Car A is 24 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B?
Choices:
2.0
2.5
3.0
4.0
Answer: D
Question: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
80,40 kmph
10,40 kmph
80,80 kmph
60,20 kmph
Answer: D
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 160 kilometers?
Choices:
4 gallons
6 gallons
5.5 gallons
10 gallons
Answer: A
Question: If 240 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
Choices:
40
20
18
22
Answer: A
Question: If x = 1- 3t and y = 2t - 3, then for what value of t does x = y?
Choices:
3/2
2/3
4/5
0
Answer: C
Question: Each of six different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Choices:
1/36
1/4
3/8
1/2
Answer: A
Question: Simplify
16−[5−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
Choices:
25
28
30
32
Answer: A
Question: In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions?
Choices:
3/5*P
3/4*P
5/6*P
13/15*P
Answer: D
Question: A sum of 14,400 amounts to 16,600 in 3 years at the rate of simple interest. What is the rate of interest?
Choices:
1%
6%
5%
8%
Answer: C
Question: Jake took a bus from home to market, that travels at 10 kmph. While walking back at 2 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 50 kmph. Find the average speed.
Choices:
1.67 kmph
0.69 kmph
1.45 kmph
none of these
Answer: A
Question: Lexy walks 5 miles from point A to point M in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?
Choices:
80
120
160
180
Answer: C
Question: Which of the following MUST yield an integer when divided by 7?
Choices:
The sum of Seven consecutive positive integers.
The sum of two odd integers.
The product of three consecutive odd numbers.
The difference between a multiple of 8 and a multiple of 3.
Answer: A
Question: When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the un inspected garments must pass inspection in order that 80 percent of the garments in the shipment pass?
Choices:
6
8
7
5
Answer: A
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
Choices:
6240
2368
1987
2732
Answer: A
Question: When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
Choices:
671
673
681
693
Answer: A
Question: George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 8% of the money for taxi fare and buys 20 mangoes. How many oranges can he buy?
Choices:
21
20
16
12
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m.
10.30 a.m.
11 a.m.
11.30 a.m.
Answer: A
Question: John want to buy a $100 Trouser at the store, but he think itâ€™s too expensive. Finally, it goes on sale for $50. What is the percent decrease?
Choices:
30%
40%
50%
60%
Answer: C
Question: If x/y =2/5, then (x-y)/x?
Choices:
-1/3
1/3
-3/2
5/2
Answer: C
Question: A composer’s guild is planning its spring concert, and nine pieces have been submitted for consideration. The director of the guild knows that they will only have time to present two of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Choices:
21
36
54
16
Answer: B
Question: A train running at the speed of 50 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
125 m
187 m
167 m
197 m
Answer: A
Question: A shopkeeper sold an article for 600 after giving 20% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’?
Choices:
30%
23%
50%
None of these
Answer: C
Question: If the range of the set of numbers {140, 80, 135, 110, 175, 145, x, 123, 136} is 105, which of the following could be x?
Choices:
50
60
70
80
Answer: C
Question: The cost of 3 pens and 5 pencils is Rs.260. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?
Choices:
Rs.250
Rs.300
Rs.780
None of these
Answer: C
Question: In 10 years, P will be as old as Q is now. Fifteen years ago, Q was twice as old as P was then. How old is P now?
Choices:
18
21
25
30
Answer: C
Question: A man can row downstream at the rate of 16 Km/hr and upstream at 8 Km/hr. Find man's rate in still water and the rate of current?
Choices:
12,4
9,3
6,6
None of these
Answer: A
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
1055
1070
1075
1080
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Choices:
200 m
186 m
168 m
150 m
Answer: A
Question: Pipe A can fill a tank in 60 min . There is a second pipe in the bottom of the cistern to empty it. If all the two pipes are simultaneously opened, then the cistern is full in 180 min. In how much time, the second pipe alone can empty the cistern?
Choices:
45 min
90 min
70 min
30 min
Answer: A
Question: What is the dividend. divisor 15, the quotient is 9 and the remainder is 5?
Choices:
A)140
C)148
D)158
E)160
Answer: A
Question: What is the Mode of the following data set M- {5,4,5,5,6,6,5,7,8,9}
Choices:
5
6
7
9
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?
Choices:
350 m
115 m
210 m
150 m
Answer: A
Question: ABCE is an isosceles trapezoid and ACDE is a rectangle.AB=10 and EC=20.What is the length of AE.
Choices:
10
12
15
20
Answer: A
Question: The length of the bridge, which a train 160 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
157 m
215 m
156 m
167 m
Answer: B
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5
Choices:
136
140
158
160
Answer: C
Question: A company bought for its 7 offices 2 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
Choices:
210
256
292
312
Answer: A
Question: In how many ways can the letters in mmmnnnppqq can be arranged with two n's together?
Choices:
15120 ways
14120 ways
13120 ways
12120 ways
Answer: A
Question: The product of two numbers is 168 and the sum of these two numbers is 26. What is the largest of these two numbers?
Choices:
77
88
12
62
Answer: C
Question: A rectangular grass field is 70 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
1971
9676
1300
2691
Answer: C
Question: Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 20 km/hr and 20 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?
Choices:
87 sec
67 sec
47 sec
36 sec
Answer: D
Question: A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?
Choices:
3
20
39
None of these
Answer: A
Question: If the number 52,1n7, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
Choices:
5
2
1
0
Answer: D
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.15 – 6.15*?
Choices:
0.15
6.25
0.25
6.0
Answer: A
Question: The first doughnut is priced at $1 and then if you purchase additional doughnuts as dozens then the price is $6/dozen. What is the total number of doughnuts purchased if you paid $26?
Choices:
50
54
56
58
Answer: A
Question: A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 50 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
Choices:
275
360
440
560
Answer: A
Question: The ratio of the present ages of a man and his wife is 4 : 3. Which of the following can't be a possible ratio of their ages 30 years ago?
Choices:
3: 4
4:4
5: 4
6: 4
Answer: C
Question: A can do a piece of work in 5 hours; B and C together can do it in 4 hours, while A and C together can do it in 3 hours. How long will B alone take to do it?
Choices:
60/7 hours
35/2 hours
90.8 hours
none of the above
Answer: A
Question: A contractor undertakes to built a walls in 50 days. He employs 70 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?
Choices:
105
35
20
None of these
Answer: A
Question: 8 x 2.4 - 5 x 1.4/1.5 = ?
Choices:
9.46
50.4
14.65
12.85
Answer: A
Question: A certain kind of necklace is made from 9 blue, 6 red, and 3 pink beads. What is the maximum number of these necklaces that can be made from 54 beads of each color ?
Choices:
6
7
8
9
Answer: A
Question: A bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Choices:
7/18
12/55
14/67
19/87
Answer: B
Question: George can do a piece of work in 8 hours. Paul can do the same work in 10 hours, Hari can do the same work in 12 hours. George, paul and hari start the same work at 9 am, while george stops at 11 am, the remaining two complete the work. What time will the work complete?
Choices:
1:00 Pm
2:00 Pm
3:00 Pm
4:00 Pm
Answer: A
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:
230 m
260 m
320 m
330 m
Answer: A
Question: If A lends Rs.2800 to B at 15% per annum and B lends the same sum to C at 18.5% per annum then the gain of B in a period of 3 years is?
Choices:
294
240
233
200
Answer: A
Question: The number of meters in QB is equal to the square root of the number of centimeters in QB. What is the length of QB (1 meter=100 centimeters)?
Choices:
100 meters
100 centimeters
10 centimeter
1 centimeter
Answer: A
Question: From the integer n, if n*n*n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n*n is even
n is even
n is odd
n*n is even
Answer: A
Question: The smallest prime number in the list:
Choices:
5
10
14
18
Answer: A
Question: A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
Choices:
6%
6.4%
7%
8.2%
Answer: B
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Choices:
8,500,148 kilometers squared
7,500,148 kilometers squared
6,500,148 kilometers squared
3,500,148 kilometers squared
Answer: B
Question: The price of a jacket is reduced by 15%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
65
69
68.25
67.5
Answer: C
Question: A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number T of imported lamps stocked at the store?
Choices:
10
13
20
23
Answer: D
Question: The average of a couple was 26Yrs when they were married 6Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 22Yrs now. How old is the
child now ?
Choices:
2 Yrs
3 Yrs
1 Yrs
None of these
Answer: A
Question: Calculate the value of z from the below equation: z^2âˆ’4z+6=0
Choices:
5
2
1
3
Answer: B
Question: Find the value of x in [(17.28/x) / (3.6*0.2)] = 2
Choices:
12
13
14
15
Answer: A
Question: x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to:
Choices:
1/3
1/5
1/9
1/3
Answer: C
Question: An inspector rejects 0.08% of the meters as defective. How many will be examine to project ?
Choices:
2300
2700
2500
250
Answer: C
Question: In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 400 circuit boards where 64 fail inspection?
Choices:
106
200
256
264
Answer: A
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:
9:1
9:3
5:2
4:1
Answer: A
Question: kamal purchased 7kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
A)980
C)1070
D)1075
E)1080
Answer: A
Question: A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, at what speed is the train travelling?
Choices:
60 km/hr
56 km/hr
63 km/hr
62 km/hr
Answer: A
Question: 3889 + 17.952 - ? = 3854.002
Choices:
52.95
45.97
47.59
45.79
Answer: A
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is ?
Choices:
0.5904
0.5929
0.5938
0.5907
Answer: A
Question: In what ratio must rice at Rs.30 per kg mixed with rice at Rs.10.80 per kg so that the mixture be worth Rs.10per kg Ans
Choices:
8:7
8:3
8:2
8:1
Answer: A
Question: A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 12 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Choices:
16
21
22
32
Answer: D
Question: A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?
Choices:
6
5
9
4
Answer: D
Question: Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
Choices:
34000
38000
35000
36000
Answer: B
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
15000
12002
28821
12000
Answer: A
Question: At a particular pizza shop, a pizza can be created from any combination of 2 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?
Choices:
35
300
450
740
Answer: B
Question: Ten percent of Ram's monthly salary is equal to eight percent of Shyam's monthly salary. Shyam's monthly salary is twice Abhinav's monthly salary. If Abhinav's annual salary is Rs. 1.92 lakhs, find Ram's monthly salary?
Choices:
Rs.25638
Rs.25600
Rs.25624
Rs.25602
Answer: B
Question: A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?
Choices:
3
4
5
6
Answer: A
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are black,red, orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the eight socks?
Choices:
15
21
36
56
Answer: D
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Choices:
2:15:16
2:15:77
2:15:98
2:15:23
Answer: A
Question: If a man can cover 16 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
190km
200km
210km
216km
Answer: D
Question: Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
Choices:
Rs.150
Rs.176
Rs.165
Rs.156
Answer: A
Question: The remainder when E=1+3+3^2+3^3+..........+3^200 is divided 13.
Choices:
7
0
5
3
Answer: B
Question: Cara leaves her home and walks toward Don's house. Two hours later, Don leaves his home and walks toward Cara's house. The distance between their homes is 45 kilometers, Cara's walking speed is 6 km/h, and Don's walking speed is 5 km/h. How many kilometers will Cara walk before she meets Don?
Choices:
27
28
29
30
Answer: D
Question: 3,10,29,66,__
Choices:
165
145
127
112
Answer: C
Question: If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2?
Choices:
a)36
c)42
d)46
e)50
Answer: A
Question: If 6000209× 6111209× K^20 is divisible by 3, which of the following could be the value of K?
Choices:
6111209
6123309
6111109
6111309
Answer: D
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
829
108
829
823
Answer: C
Question: A customer pays 60 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
B)$60
C)$70
D)$80
E)$90
Answer: C
Question: In a shop apple, orange, mango and pomegranate are sold. Average price of them is Rs.100 per kg. Apple, orange, mango are sold for Rs.100, Rs.90, Rs.80 per kg respectively. Therefore what is price of pomegranate?
Choices:
Rs. 90
Rs. 130
Rs. 120
Rs. 110
Answer: B
Question: If a 3-number code is formed of the integers from 1 to 15 inclusively, and each of the numbers in the code is different, how many possible codes are there?
Choices:
2510
2620
2730
2840
Answer: C
Question: If the compound interest on a certain sum of money for 6 years at 10% per annum be Rs. 993, what would be the simple interest?
Choices:
Rs. 890
Rs. 1800
Rs. 900
None
Answer: B
Question: Which of the following is a possible length for side AB of triangle ABC if AC = 4 and BC = 10?
I. 6
II. 9 √3
III. 11.5
Choices:
II only
III only
II and III
I, II, and III
Answer: B
Question: Two dice are rolled together. What is the probability of getting two numbers whose product is even?
Choices:
3/4
1/4
7/4
9/4
Answer: A
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
18
19.7
21
27
Answer: B
Question: Simple interest on a certain sum is 22.5 over 10 of the sum. Find the rate per cent and time, if both are equal.
Choices:
15% and 15 years
10% and 10 years
12 % and 12 years
None of these
Answer: A
Question: What is the square root of 83,521?
Choices:
489
289
511
311
Answer: B
Question: If (A+B) = 4, (B+C) = 5 and (C+D) = 3, what is the value of (A+D)?
Choices:
8.
7.
2.
-2.
Answer: C
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, ... What number should come next?
Choices:
11
12
13
14
Answer: A
Question: Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long it will take to fill the tank ?
Choices:
12 mins
15 mins
20 mins
30 mins
Answer: A
Question: In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a15?
Choices:
55
29
19
1
Answer: B
Question: The bankers discount of a certain sum of money is Rs. 144 and the true discount on the same sum for the same time is Rs. 120. The sum due is:
Choices:
716
718
720
722
Answer: C
Question: If the length is increased by 25%, by what percent the width of a rectangle should be decreased so as to keep the area same.
Choices:
20%
30%
10%
15%
Answer: A
Question: A man can row 5 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.35
2.45
2.55
2.65
Answer: A
Question: 38 69 22 43 31 47 13 82
Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in the list above?
Choices:
56
70
71
73
Answer: A
Question: Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 70 days.
Choices:
17 days.
18 days.
19 days.
42 days.
Answer: D
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
Choices:
7.5 gallons
6.5 gallons
5.5 gallons
4.5 gallons
Answer: D
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 2/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
7/11
10/21
17/35
1/2
Answer: A
Question: If Scott has earned y dollars by working 7 days a week at a constant daily rate for w weeks, which of the following represents his daily wage?
Choices:
3w/y
w/(7y)
yw/7
y/(7w)
Answer: D
Question: A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
Choices:
18
12
88
29
Answer: B
Question: 7128+1252=1202+X
Choices:
7149
7145
7128
7178
Answer: D
Question: A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor?
Choices:
128
127
176
171
Answer: C
Question: The cost price of 30 articles is the same as the selling price of x articles. If the profit is 25%, what is x?
Choices:
20
22
24
26
Answer: C
Question: By selling 66 bags, a shopkeeper gains the price of 33 bags. His gain per cent is
Choices:
100%
95%
98%
93%
Answer: A
Question: A trader cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 30% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 40% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the cost price of the weight that he claims, find his profit percentage.
Choices:
82%
24.33%
29.109%
78%
Answer: A
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
17 1/8
17 1/7
17 1/1
17 1/2
Answer: B
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Choices:
1/2
1/9
1/3
1/4
Answer: A
Question: In a class, the average age of 35 boys is 15 years and the average of 25 girls is 10 years. what is the average age of the whole class?
Choices:
12.3 Years
12.9 Years
13 Years
15 Years
Answer: B
Question: If w, z and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^(wz)?
I. w+z
II. z^w
III. w^2 * z^2
Choices:
II only
III only
I and II
II and III
Answer: D
Question: Simran started a software business by investing Rs.50,000. After six months, Nanda joined her with a capital of Rs.80,000. After 3 years , they earned a profit of Rs.24,500. What was Simran's share in the profit?
Choices:
Rs.10,250
Rs.10,500
Rs.14,000
None
Answer: B
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 9 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
Choices:
48 kilometers per hour
50.8 kilometers per hour
75 kilometers per hour
100 kilometers per hour
Answer: B
Question: If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
Choices:
2:1
2:4
2:2
2:8
Answer: A
Question: The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers
Choices:
10
15
18
17
Answer: D
Question: Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7500 less if they could find two more equal investors. How much is the total investment in the new business.
Choices:
b)	$ 56,250
c)	$ 21,000
d)	$ 5,400
e)	$3,600
Answer: A
Question: A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
Choices:
Rs. 12000; 12% p.a.
Rs. 12000; 22% p.a.
Rs. 12000; 14% p.a.
Rs. 12000; 16% p.a.
Answer: A
Question: Oil cans x and y are right circular cylinders and the height and radius of y are each 5 times those of x. If the oil in can x filled to capacity sells for $1, how much does the oil in y sell for if y is only 1/5th filled?
Choices:
$25
$27
$28
$30
Answer: A
Question: If a and b are integers and (2^a)(3^b) is a factor of 300^40, what is the largest possible value of ab?
Choices:
a
20a
40a
80a
Answer: A
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.3 per sq m?
Choices:
675, Rs.2025
1350, Rs.675
1450, Rs.775
1550, Rs.875
Answer: A
Question: The triplicate ratio of 1:2 is?
Choices:
1:8
1:7
1:2
1:1
Answer: A
Question: What two-digit number is less than the sum of the square of its digits by 11 and exceeds their doubled product by 4?
Choices:
99
26
73
None of the Above
Answer: B
Question: Jolene entered an 16-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?
Choices:
$726.24
$900.00
$920.24
$926.24
Answer: C
Question: The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.05, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random from the container, the probability that the widget selected is defective is 0.053. What is the value of x?
Choices:
0.03875
0.05
0.6
0.039
Answer: A
Question: The present worth of Rs. 242 due in 2 years at 10% per annum compound interest is:
Choices:
Rs. 200
Rs. 240
Rs. 220
Rs. 230
Answer: A
Question: A and B together can do a piece of work in 20days. A having worked for 10days, B finishes the remaining work alone in 30days. In how many days shall B finish the whole work?
Choices:
40
50
30
60
Answer: A
Question: One out of every 500 light bulbs are defected. If 4 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Choices:
5,000
10,000
25,000
52,000
Answer: C
Question: A 6% stock yields 9%. The market value of the stock is:
Choices:
Rs 68.55
Rs 69.55
Rs 65.55
Rs 66.66
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
266
288
150
332
Answer: C
Question: If the cost price of 24 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
Choices:
50% profit
33.33 % loss
30.33% loss
None of these
Answer: A
Question: The sum of two whole no. is 64.from the following which can not be the ratio of these no.
Choices:
7:1
3:4
3:5
all above
Answer: B
Question: A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1.5% cash on their first $5000 of purchase, 2.5% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.8% on their total annual charges made on the credit card, then what was the customer's annual charge?
Choices:
$45,000
$50,000
$55,000
$60,000
Answer: B
Question: ((-1.9)(0.6) – (2.6)(1.2))/3.0 = ?
Choices:
1.0
1.07
-1.42
2.71
Answer: C
Question: Two positive integers differ by 4, and sum of their reciprocals is 5 Then one of the numbers is
Choices:
b) 1
c) 5
d) 21
4
Answer: D