antoine-444/aqua_rat_dataset huggingface dataset:
Question: 4 letters have to be put into their 4 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes?
Choices:
1/64
1/120
1/240
3/5
Answer: A
Question: Two trains 200 m and 800 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.9
36
10.8
10.1
Answer: B
Question: Three different containers contain 50 litres, 100 litres and 150 litres of mixture of milk and water respectively. What is the biggest measure can measure all the different quantities exactly ?
Choices:
57 litres
60 litres
50 litres
100 litres
Answer: C
Question: Amber works 30 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
Choices:
20d
10md/6
20d/m
30d
Answer: D
Question: Insert the missing number
5, -15, 45, -135, (....)
Choices:
-405
405
-350
0
Answer: B
Question: A fellow borrowed a certain sum of money at 8% per annum at simple interest and in 8 years the interest amounted to Rs.900 less than the sum lent. What was the sum lent?
Choices:
1220
2500
1060
1110
Answer: B
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What isthe probability that first is white and second is black?
Choices:
36/145
21/115
11/154
None of these
Answer: A
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
2/3
2/5
2/7
2/9
Answer: B
Question: A math teacher has 26 cards, each of which is in the shape of a geometric figure. Half of the cards are rectangles, and a third of the cards are rhombuses. If 8 cards are squares, what is the maximum possible number of cards that re circles.
Choices:
9
11
12
13
Answer: A
Question: Sunanth is 22 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Choices:
20 years
21 years
22 years
24 years
Answer: A
Question: A constructor estimates that 3 people can paint Mr. Gokhle's house in 10 days. If he uses 5 people instead of 3,how long will they take to complete the job?
Choices:
6
10
5
4
Answer: A
Question: Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 40 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:
B) 4.1
C) 10
D) 15
E) 24
Answer: A
Question: Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim's travel in mph?
Choices:
37.5 mph
50 mph
44 mph
None of these
Answer: A
Question: Consider the sequence of numbers beginning 23, 27, 28, 32, 33... It continues in such a way that by adding 5 to the nth term, one obtains the (n + 2)th term. What is the sum of the first 18 members of this sequence?
Choices:
900
788
810
1022
Answer: C
Question: If A = 2B+1 where A is an Integer then which of the following is true?
Choices:
A is always Even
A is a non multiple of 2
A is even if B is a non integer and a multiple of 0.5
A=1
Answer: C
Question: Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
Choices:
Rs.81.60
Rs.172
Rs.727
Rs.728
Answer: A
Question: . A man pays off 3/20 of his debt every month.At the end of 6 months, his remaining debt is $A.How much amount has he cleared off every month?
Choices:
9A/10
A/10
3A/10
3A/2
Answer: D
Question: Which of the options is a multiple of 3!+6
Choices:
4!-12
4!-2
3!+20
4!+20
Answer: A
Question: The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Choices:
60
None of these
70
100
Answer: B
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Choices:
24000
24028
240011
240121
Answer: A
Question: The average of six number is 3.95. The average of two of them is 3.8, while the average of the other two is 3.85. what is the average of the remaining two number ?
Choices:
4.2
4.7
4.8
None of these
Answer: A
Question: If x/2 years ago Roger was 18 years old and x/2 years from now he will be 4x years old, how old will he be 5x years from now?
Choices:
35
30
51
28
Answer: C
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
224km
277km
256km
297km
Answer: A
Question: For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <3>*<4>?
Choices:
116
710
756
478
Answer: C
Question: The average age of an adult class is 40years. 12new students with an avg age of 32years join the class. Therefore decreasing theaverage by 4year. Find what was theoriginal strength of class?
Choices:
12
17
19
21
Answer: A
Question: A company has $329,864 in its account. What is the least amount of money (in whole number of dollars) that it must add to the account if the money is paid evenly among 9 of its vendors?
Choices:
$2
$3
$4
$6
Answer: C
Question: A beekeeper has 600,000 bees living in four beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?
Choices:
176470
10000
13000
56600
Answer: A
Question: The cross section of a canal is a trapezium in shape. If the canal is 7 metres wide at the top and 9 metres at the bottom and the area of cross-section is 1280 square metres, find the length of the canal.
Choices:
160 metres
154 metres
165 metres
None of these
Answer: A
Question: If n is a positive integer, which one of the following numbers must have a remainder of 1 when
divided by any of the numbers 4, 5, and 6?
Choices:
240n + 1
275n + 1
290n + 1
320n + 1
Answer: A
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5?
Choices:
20
34
54
28
Answer: A
Question: A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
Choices:
106
110
120
130
Answer: B
Question: In the manufacture of a certain product, 8 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
Choices:
0.32%
0.8%
1.25%
2.0%
Answer: A
Question: If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability Q that N is divisible by 3?
Choices:
¼
9/25
5/16
0
Answer: C
Question: Find the constant k so that : -x2 - (k + 9)x - 8 = -(x - 2)(x - 4)
Choices:
12
15
14
19
Answer: B
Question: A train running at the speed of 48 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
120
255
150
287
Answer: A
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 45% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
 10%
 15%
 35%
 30%
Answer: C
Question: Calculate the time it will take for a train that is 250 meter long to pass a bridge of 150 meter length, if the speed of the train is 35 km/hour ?
Choices:
3515 seconds
41.15 seconds
30 seconds
36 seconds
Answer: B
Question: In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 20 different models of televisions, what is the minimum number of letters that must be used to make the codes?
Choices:
5
8
9
10
Answer: A
Question: what is the smallest number by which 3600 be divided to make it a perfect cube ?
Choices:
50
300
450
550
Answer: C
Question: A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.4
1.2
1.5
3
Answer: D
Question: If p and q are prime numbers, how many divisors does the product p^4 * q^5 have?
Choices:
30
45
50
56
Answer: A
Question: Worldwide production of motor vehicles was 3.9 million vehicles in 1946 and 61.3 million in 1987. Of the following, which is closest to the average (arithmetic mean) annual increase, in millions, in worldwide production of motor vehicles during this period?
Choices:
1.0
1.1
10.5
1.4
Answer: D
Question: Two pipes can fill a tank in 14 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
Choices:
7.5 Hours
8.5 Hours
9.5 Hours
6.5 Hours
Answer: C
Question: If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 10 minutes?
Choices:
40
150
240
300
Answer: A
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
2.4
3.6
4.0
4.6
Answer: D
Question: remy bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
Choices:
50QR/W.
25RQ/W
25RW/Q
RW/(4Q)
Answer: C
Question: In what ratio P:Q should the Mixture P of milk and water in the ratio of 4:1 be mixed with another Mixture Q of milk and water in the ratio 2:3 so that the resultant mixture contains equal quantities of milk and water?
Choices:
1:3
1:4
3:4
3:5
Answer: A
Question: In how many ways the letters of the word RAIMBON be arranged?
Choices:
9667
5040
9865
4687
Answer: B
Question: For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6, -5 ?
Choices:
2
3
4
5
Answer: C
Question: A student can select one of 6 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
Choices:
72
99
37
01
Answer: A
Question: A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq.m is Rs. 270 and the cost of papering the four walls at Rs. 10 per m2 is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.
Choices:
6,18,6
6,18,7
6,18,2
6,18,1
Answer: A
Question: A man taking the census walks up to the apartment of a mathematician and asks him if he has any children and how old they are. The mathematician says "I have three daughters and the product of their ages is 72." The man tells the mathematician that he needs more information, so the mathematician tells him "The sum of their ages is equal to our apartment number." The man still needs more information so the mathematician tells him "My oldest daughter has her own bed and the other two share bunk beds."
How old are his daughters?
Choices:
6-4-4
9-5-4
8-3-3
7-2-2
Answer: C
Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Choices:
2.04
3.04
4.04
None of these
Answer: C
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
Choices:
108 min
144 min
192 min
120 min
Answer: B
Question: If Finn was 16 months old one year ago, how old was he, in months, x months ago?
Choices:
x − 12
28 − x
24 − x
30 − x
Answer: B
Question: On the xy co-ordinate plane, point C is (5,-2) and point D is (-2,2.5). The point on line segment CD that is twice as far from C as from D is:
Choices:
(1,1)
(2,0.25)
(3,-0.5)
(3,1)
Answer: C
Question: Two bullet train s 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
12.8 sec.
11.8 sec.
10.8 sec.
08.8 sec.
Answer: C
Question: If the number 241 * 523 is completely divisible by 9, then the smallest whole number in place of * will b
Choices:
5
1
8
9
Answer: B
Question: What is the lowest positive integer that is divisible by each of the odd integers between 17 and 23, inclusive?
Choices:
5×17×19×23
23*21*17*19
7×15×19×21
15×17×19×21
Answer: B
Question: Umesh directly went from P, to Q which is 9 feet distant. Then he turns to the right and walked 4 feet. After this he turned to the right and walked a distance which is equal from P to Q. Finally he turned to the right and walked 3 feet. How far is he now from P?
Choices:
5 feet
1 feet
0 feet
10 feet
Answer: B
Question: Income and expenditure of a person are in the ratio 10 : 4. If the income of the person is Rs. 19000, then find his savings?
Choices:
87689
59875
11400
87648
Answer: C
Question: The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Choices:
480 km
360 km
450 km
None of these
Answer: B
Question: There are e members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of e?
Choices:
12
15
18
22
Answer: A
Question: there are 15 cars and 16 trucks? which is greater15 or 16?
Choices:
14
12
17
16
Answer: D
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 60 paise per sq. metre
Choices:
s510
s880
s480
s980
Answer: A
Question: Which of the following equivalent to (1/64)^2?
Choices:
(0.06)^3
(0.07)^3
(0.08)^3
(0.09)^3
Answer: A
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 4, and 7, if the digits are allowed to repeat within a number?
Choices:
11,988
12,433
13,766
14,322
Answer: A
Question: If r and y are integers and (15^r + 15^(r+1))/4^y = 15^y what is the value of r?
Choices:
2
4
5
Cannot be determined
Answer: A
Question: Find the odd man out:
5, 8, 20, 42, 124, 246
Choices:
20
77
26
81
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Choices:
432
278
269
271
Answer: A
Question: Some pen bought something at loss for Rs 60.He then sold it the price of 81 and his profit was 20% of the loss.At what price did he buy the object
Choices:
77.5
75.5
74.5
73.5
Answer: A
Question: In Set T, the average (arithmetic mean) equals the median W. Which of the following must be true?
I. Set T consists of evenly spaced numbers.
II. Set T consists of an odd number of terms.
III. Set T has no mode.
IV. None of the above.
Choices:
I and II
II and III
I, II, and III
IV only
Answer: D
Question: A rectangular swimming pool is 8 feet by 20 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 540 square feet. What is the width of the deck?
Choices:
2
3
4
5
Answer: D
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/8 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
Choices:
24
39
60
65
Answer: A
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
Choices:
1/9
1/18
1/24
1/36
Answer: B
Question: If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'9" tall, which of the following is the median height of the children?
Choices:
2'9"
3'3"
3'4"
4'3
Answer: A
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
2 2/3
2.5
3
3.5
Answer: B
Question: Change 1/8 = 8-1 to logarithmic notation.
Choices:
log(8)8
log(5)8
log 5
None of these
Answer: A
Question: Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is:
Choices:
72
105
108
118
Answer: C
Question: One lady has 2 children, one of her child is boy, what is the probability of having both are boys
Choices:
1/2
1/4
1/5
3/4
Answer: A
Question: If the product 48^64 × 9x2 is divisible by 12, then what is the value of x?
Choices:
1
3
4
5
Answer: A
Question: Sterling Silver is 92.5% pure silver. How many grams of Sterling Silver must be mixed to a 90% Silver alloy to obtain a 500g of a 91% Silver alloy?
Choices:
200
400
500
600
Answer: A
Question: Walking with 4/5 of my usual speed, I miss the bus by 6 minutes. What is my usual time?
Choices:
26 min
34 min
24 min
12 min
Answer: C
Question: A 300 m long train crosses a platform in 33 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
250 m
277 m
278 m
267 m
Answer: A
Question: A train running at the speed of 72 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
299 meter
666 meter
155 meter
180 meter
Answer: D
Question: A 240 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
260
267
256
298
Answer: A
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
Choices:
388
1500
2776
8811
Answer: B
Question: If 8 men do a work in 80 days, in how many days will 20 men do it?
Choices:
32 days
42 days
48 days
44 days
Answer: A
Question: A train 160 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
Choices:
60 kmph
66 kmph
72 kmph
90 kmph
Answer: D
Question: The angle between the minute hand and the hour hand of a clock when the time is 12.30, is
Choices:
65°
45°
195°
95°
Answer: C
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 5, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
Choices:
72
36
112
422
Answer: B
Question: The taxi charges in a city comprise of a fixed charge, together with the charge of the distance covered. For a journey of 16 km, the charges paid are Rs. 156 and for a journey of 24 km, the charges paid are Rs. 204. What will a person have to pay for travelling a distance of 30 km?
Choices:
Rs. 240
Rs. 248
Rs. 252
Rs. 352
Answer: A
Question: A boatman goes 3 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
Choices:
1 hour 7 min
1 hour 15 min
1 hour 30 min
1 hour 10 min
Answer: A
Question: In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ?
Choices:
Rs.4680
Rs.4129
Rs.4112
Rs.4101
Answer: A
Question: For the set {2, 2, 3, 3, 4, 4, 5, 5,7,7 x}, which of the following values of x will most increase the standard deviation?
Choices:
2
3
(-3.2)^2
5
Answer: C
Question: The population of a town is 186800. If it increase at the rate of 7% per annum. What will be its population for 2years hence?
Choices:
215600
194582
213867
215460
Answer: C
Question: 0,2,6,12,20, ____
Choices:
28
30
26
35
Answer: B
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 14 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
Choices:
4
6
12
32
Answer: B
Question: If the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
Choices:
8
12
3
18
Answer: C
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Choices:
2897
5400
2689
2781
Answer: B
Question: The digital sum of a number is the sum of its digits. For how many of the positive integers 24-80 inclusive is the digital sum a multiple of 7?
Choices:
9
14
16
20
Answer: A
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
16 years
4 years
18 years
12 years
Answer: B
Question: Jamboree and GMAT Club Contest Starts
QUESTION #20:
How many words (with or without meaning) can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
Choices:
600
500
300
240
Answer: A
Question: Which of the following lines has x-intercept and y-intercept that are integers W?
Choices:
y=√x+1
y=-2/x
y=x^2-1
xy=1
Answer: C
Question: A no.when divided by 224 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Choices:
7
9
11
12
Answer: D
Question: In X game of billiards, X can give Y 20 points in 60 and he can give Z 30 points in 60. How many points can Y give Z in X game of 80?
Choices:
20
25
40
50
Answer: A
Question: Stella buys an advertising agency for rs.16,000,000 and sells it for rs.20,000,000. Find her gain %.
Choices:
20%
14%
87%
25%
Answer: D
Question: Two dice are rolled. What is the probability the sum will be greater than 8?
Choices:
2/9.
5/36.
7/36.
1/5.
Answer: A
Question: The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?
Choices:
88
38
99
11
Answer: B
Question: A bag of potatoes weighs 12 lbs divided by half of its weight. How much does the bag of potatoes weight?
Choices:
18 lb
12 lb
15 lb
5 lb
Answer: B
Question: The difference between simple and compound interests annually on a particular sum of money for 2 years at 4% per annum is Rs. 1. What is the sum?
Choices:
625
650
675
700
Answer: A
Question: If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
Choices:
38
77
50
29
Answer: C
Question: A man starts walking at 3 pm, He walks at a speed of 4 km/hr on level ground and at a speed of 3 km/hr on uphill, 6 km/hr downhill and then 4 km/hr on level ground to reach home at 9 pm. What is the distance covered on one way?
Choices:
9
10
11
12
Answer: D
Question: The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?
Choices:
4.6
4.7
4.8
4.9
Answer: A
Question: What day of the week was 1 January 1901
Choices:
Tuesday
Saturday
Friday
None of these
Answer: A
Question: Car A runs at the speed of 50km/hr & reaches its destination in 8hr. Car B runs at the speed of 25 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
4 : 1
13 : 7
15 : 7
16 : 9
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 18%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
48%
94%
45%
39%
Answer: D
Question: If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?
Choices:
11
17
21
27
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1350, find the gain percent?
Choices:
20%
50%
30%
24%
Answer: B
Question: which number need to add to 859622 to get a number exactly divisible by 456?
Choices:
412343
546573
567683
859622
Answer: D
Question: What is the maximum number of pieces that a circular pizza can be cut into with 5 linear cuts?
Choices:
14
15
16
17
Answer: C
Question: A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 50% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Choices:
$60
$80
$90
$150
Answer: D
Question: A meeting has to be conducted with 5 managers. Find the number of ways in which the managers be selected from among 8 managers, if 2 managers will not attend the meeting together?
Choices:
36
42
45
47
Answer: A
Question: What is the are of an equilateral triangle of side 20 cm?
Choices:
150√3
300√3
200√3
100√3
Answer: D
Question: If x^2 - 1 = 0 and x < 0, which of the following must be equal to 0 ?
Choices:
x^2 - 9x + 20
x^2 - 2x + 3
x^2 + 2x - 3
x^2 + 5x + 4
Answer: D
Question: If x = y^2, and x and y are positive integers, which of the following numbers could be the value of x?
Choices:
10,982
11,881
12,988
13,547
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
77
14
12
Answer: A
Question: A teacher has 16 students, then she gets 7 more students. Now how many students does she have?
Choices:
B)15
C)15
D)23
E)25
Answer: C
Question: Ravi can do a piece of work in 50 days while Prakash can do it in 75 days. In how many days will they finish it together?
Choices:
30 days
25 days
27 days
29 days
Answer: A
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Choices:
10 hours
19 hours
15 hours
20 hours
Answer: A
Question: George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is
Choices:
H
27
29
271
Answer: A
Question: If x = a/(a – 1) and 1/(a – 1), then:
Choices:
x is equal to y
x is greater than y
x is greater than y only if a < 1
y is greater than x only if a < 1
Answer: A
Question: In August,a cricket team that played 120 matches won 20% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average?
Choices:
52
68
80
98
Answer: C
Question: An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discount offered on it, find its SP?
Choices:
Rs. 71
Rs. 72
Rs. 90
Rs. 98
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 63, what is the total amount?
Choices:
105
178
177
245
Answer: D
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 doughnut purchased if you paid $19?
Choices:
25
35
36
37
Answer: D
Question: If (4.2)x = (0.42)y = 100, then (1/x) - (1/y) =
Choices:
2
1/2
1/4
2
Answer: B
Question: In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, 7, 14, 23, 34, ?
Choices:
47
36
31
33
Answer: A
Question: Find the no.of ways of arranging 5 men and 5 ladies at a circular table so that no two ladies sit together ?
Choices:
5!x5!
4!x5!
10!x10!
25!x25!
Answer: B
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6 kmph
5 kmph
8 kmph
9 kmph
Answer: C
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜WORKâ€™, using each letter exactly once?
Choices:
24
32
48
28
Answer: A
Question: If A invested 5 times of B and at the end of the year they got a profit of Rs.36,000 in their business then share. of B in the profit was (in Rs.)
Choices:
4000
3000
6000
3500
Answer: C
Question: By selling 12 toffees for a dollar, a man loses 20%. How many for a dollar should be sell to get a gain of 20%?
Choices:
8
9
4
3
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 50, the dividend is:
Choices:
6300
5343
5345
5350
Answer: A
Question: From a Group of 8 People, Including Sachin and Rahul, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include Sachin but not Rahul
Choices:
9/56
15/56
21/56
25/56
Answer: B
Question: A man purchased a grinder for Rs. 120 and sold it at a profit of 10%. The selling price is:
Choices:
Rs. 812
Rs. 132
None of these
Cannot be determined
Answer: B
Question: What percent of 5 letter combinations that can be made from the letters of the word VERMONT and in which each letter can be used only once are the combinations in which the first letter is a vowel and the last letter is a consonant?
A.
B.
C.
D.
E.
Choices:
23.8%
25%
30.2%
35%
Answer: A
Question: If each data point in a certain set Q is increased by a factor of 6, what happens with the set's standard deviation?
Choices:
Decreases by Factor 6
Increases by 6
Increases by Factor 6
Can't be determined
Answer: C
Question: if m>0 and b is m percent of a, then, in terms of m, a is what percent of b?
Choices:
b)1/100m
c)1/m
d)10/m
e)10^4/m
Answer: D
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17
88
12
15
Answer: A
Question: On flipping 3 coins together what is the outcomes for at least one head?
Choices:
{HHH, HHT, HTH, THH, TTH, THT, HTT}
{HHH, HHT, HTH, TTT, TTH, THT, HTT}
{TTT, HHT, HTH, THH, TTH, THT, HTT}
None
Answer: A
Question: One pipe can fill a tank four times as fast as another pipe. If together the two pipes can fill the tank in 40 minutes, then the slower pipe alone will be able to fill the tank in?
Choices:
150min
200min
250min
300min
Answer: B
Question: The average age of 36 students in a group is 14 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?
Choices:
36
51
53
57
Answer: B
Question: A car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 90 km/hour. At what speed, in km/hr, is the car traveling?
Choices:
80
74
75
78
Answer: A
Question: John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 140% of John's weight. Which of these 5 people weighs the least?
Choices:
Susan
Sam
Mark
Lynn
Answer: A
Question: The sum of ages of 5 girls born at the intervals of 3 years each is 40 years. What is the age of the youngest girl
Choices:
years
years
years
years
Answer: A
Question: If x^3 < y^2 > z, which of the statements could be true?
I. x < y < z
II. x < z < y
III. y < x < z
Choices:
III only
I and II only
II and III only
I, II and III
Answer: B
Question: Wendy begins sanding a kitchen floor by herself and works for 6 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
Choices:
3/20 hours
20/3 hours
80/9 hours
10 hours
Answer: C
Question: An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Choices:
Rs. 62500; Rs. 37500
Rs. 72500; Rs. 27500
Rs. 82500; Rs. 17500
Rs. 72500; Rs. 17500
Answer: A
Question: what is summation of [3^k(28Ck)] (summation range 28 to k=0) where 28Ck is the number of ways of choosing k items from 28 items??
Choices:
4^28
4^26
4^25
4^24
Answer: A
Question: If an integer is randomly chosen from the numbers 250 to 449, inclusive, what is the probability that all the digits of the number are even?
Choices:
17/50
1/8
51/199
1/4
Answer: B
Question: Difference of two numbers is 1660. If 7.5% of the number is 12.5% of the other number , find the number ?
Choices:
4150
3012
4430
5507
Answer: A
Question: A and B together have Sterling 1220. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Choices:
Sterling 488
Sterling 550
Sterling 664
None
Answer: A
Question: A box contains nine slips that are each labeled with one number: 1, 2, 3, 5, 8, 13, 21 and 34 Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
Choices:
3/14
7/36
15/36
21/36
Answer: A
Question: Shan starts from Barabanki to Fatehpur, 1 hour after Ajay starts. Shahrukh meets Kajol 1.5 hours after Shahrukh starts. If the speed of Shan is at least 20km/hour fasterthan the speed of Kajol. What is the min speed of Shan to overtake Ajay, before he meets Kajol?
Choices:
63 km/h
64.5 km/h
66.5 km/h
67.5 km/h
Answer: D
Question: The probability that a man will be alive for 10more yrs is 3/4 & the probability that his wife will alive for 10 more yrs is 1/5. The probability that none of them will be alive for 10 more yrs, is
Choices:
1
2/3
1/5
2
Answer: C
Question: Grayson, a chemist, has 8 litres of a solution that contains 15% hydrochloric acid(HCI), plus unlimited 5% HCI solution. For a particular experiment, however, he needs to prepare some that contains 12% HCI. How much 5% HCI solution should be added to the 15% HCI solution to get the 12% HCI solution needed for the experiment?
Choices:
10 litres
12.8 litres
3.4 litres
8.2 litres
Answer: C
Question: 3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
15/4 days
18/4 days
11/4 days
35/4 days
Answer: A
Question: Find the C.I. on Rs. 15,625 for 9 months at 16% per annum compounded quarterly?
Choices:
Rs.1912
Rs.1951
Rs.1908
Rs.1213
Answer: B
Question: A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?
Choices:
10
12
15
17
Answer: A
Question: If the annual increase in the population of a town is 10% and the present number of people is 11000, what will the population be in 2 years?
Choices:
15240
12456
11452
13310
Answer: D
Question: In the following series how many times the sum of two consecutive digits is even?
1 2 3 4 6 3 4 2 5 9 3 6 7 4 1 2 3 6 7 6 5 4 3
Choices:
2
3
4
6
Answer: C
Question: (4x - 7)(4x + 7) + (2x - 9)(2x + 9) =
Choices:
20x2 - 130
12x2 - 32
12x2 + 32
None
Answer: A
Question: Solve: 18800+470+20
Choices:
2
4
0
1
Answer: A
Question: 45 men can complete a work in 18 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?
Choices:
10
15
7.2
8
Answer: C
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 16 hours and 81 hours respectively. The ratio of their speeds is?
Choices:
9:4
4:5
4:1
4:2
Answer: A
Question: A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.
Choices:
7/15
7/29
7/12
7/92
Answer: A
Question: A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
Choices:
65 kmph
54 kmph
16 kmph
18 kmph
Answer: B
Question: Difference of two numbers is 1670. If 7.5% of the number is 12.5% of the other number , find the number ?
Choices:
3660, 2000
3000, 4160
2490, 4150
2505, 4175
Answer: D
Question: Their are two boxes containing a total number of 60 balls, each box has an equal number of red and blue balls. What is the probability of getting a red ball from one box and a blue ball from the other
Choices:
1/2
1/16
1/8
1
Answer: A
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
270
287
266
281
Answer: A
Question: Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
Choices:
20000
2677
29812
2322
Answer: A
Question: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Renee will win?
Choices:
2/3
1/2
5/12
3/9
Answer: D
Question: A statue is being carved by a sculptor. The original piece of marble weighed 250 kg. In the first week 30 percent is cut away. In the second week 20 percent of the remainder is cut away. In the third week the statue is completed when 25 percent of the remainder is cut away. What is the weight of the final statue?
Choices:
105 kg
108 kg
125 kg
117 kg
Answer: A
Question: A chair is bought for Rs.600/- and sold at a loss of 30% find its selling price
Choices:
s.420/-
s.560/-
s.590/-
s.580/-
Answer: A
Question: 30 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?
Choices:
6
4
8
9
Answer: B
Question: The average age of a committee of 8 members is 40 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Choices:
38 years
36 years
35 years
34 years
Answer: A
Question: Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?
Choices:
23
25
27
29
Answer: C
Question: John was thrice as old as Tom 6 years ago. John will be 15/13 times as old as Tom in 6 years. How old is Tom today?
Choices:
7
9
11
13
Answer: A
Question: A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 2211, What is the value of n?
Choices:
134
62
122
672
Answer: A
Question: The calendar for the year 2007 will be the same for the year
Choices:
2018
2014
2016
2015
Answer: A
Question: For an upcoming charity event, a male vocalist has agreed to sing 4 out of 6 “old songs” and 2 out of 5 “new songs.” How many ways can the singer make his selection?
Choices:
50
150
480
600
Answer: B
Question: An gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired?
Choices:
0.69766
1.34354
1.45465
1.46566
Answer: A
Question: Find smallest number that you can write using all the vowels(A,E,O,I,U) exactly once?
Choices:
5000
1000
4000
3000
Answer: A
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
Rs.23
Rs.44
Rs.20
Rs.41
Answer: B
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 4 days more?
Choices:
3040
3099
3088
3066
Answer: A
Question: A person crosses a 1000 m long street in 5 minutes. What is his speed in km per hour?
Choices:
8.2 km/hr.
12.0 km/hr.
3.2 km/hr.
4.2 km/hr.
Answer: B
Question: Which of the following is closest to the difference between sum Z of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
Choices:
2.72
1.82
1.72
0.82
Answer: C
Question: 926 + 9.026 + 0.926 + 9.0026 = ?
Choices:
944.9546
944.4246
944.9446
None of these
Answer: A
Question: If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 12?
Choices:
2
3
4
5
Answer: A
Question: Pat, kate and mark charged a total of 189 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate.
Choices:
36
72
90
105
Answer: D
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
2000
2927
1627
1811
Answer: A
Question: In how many ways can the letters of the word APPEARED be arranged?
Choices:
1348
2520
3000
5040
Answer: D
Question: If KING is coded as 17 and MASS is coded as 29 Then COP is coded as
Choices:
20
19
13
None
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
699
677
168
150
Answer: D
Question: A certain fraction has the same ratio to 1/36, as 4/5 does to 2/9. What is this certain fraction?
Choices:
1/10
1/15
1/20
1/25
Answer: A
Question: 3, 15, x, 51, 53,159,161 value of x ?
Choices:
17
54
64
112
Answer: A
Question: A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes forty minutes and 2 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?
Choices:
1/2
2/5
5/4
3/2
Answer: A
Question: A charity solicited P persons over the phone who agreed to an average pledge of Rs.R each. Q of these people who had pledged an average of Rs. S each never sent in the pledged amount. Which of the following expressions represents the percentage of pledged money that the charity received?
Choices:
100*(QS/PR)
100 (PR - QS)
100(1-QS/PR)
100(PR-QS/PR)
Answer: C
Question: A man swims downstream 24km and upstream 16km taking 4 hours each time, what is the speed of the man in still water?
Choices:
5
24
12
36
Answer: A
Question: A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
Choices:
Over Rupees 7 but less than Rupees 8
Over Rupees 22 but less than Rupees 23
Over Rupees 18 but less than Rupees 9
Over Rupees 4 but less than Rupees 5
Answer: C
Question: If the radius of a cylinder is doubled and so height is made 3 times, what is the new volume of the cylinder divided by the old one?
Choices:
12.
6.
4.
10.
Answer: A
Question: Sum of the squares of 3 no.'s is 222 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
22
26
28
30
Answer: A
Question: If the cost price of 18 pens is equal to the selling price of 15 pens, the gain percent is:
Choices:
20%
50%
80%
34%
Answer: A
Question: If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is Odd B)B is Odd C)AB is even
Choices:
None of the above
II only
III only
III,II only
Answer: A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
12
11
15
Answer: A
Question: A man can do a job in 10 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
Choices:
6.9
5.3
6.1
6.2
Answer: B
Question: 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
Choices:
12
8
5
6
Answer: A
Question: The average (arithmetic mean) of 20, 40, and 60 is 6 more than the average of 10, 70, and what number?
Choices:
25
35
22
55
Answer: C
Question: According to a survey, at least 70% of people like apples, at least 70% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Choices:
20%
25%
0%
35%
Answer: A
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 44 now, the son age 5 years back was
Choices:
17
11
19
99
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
1211
1200
1882
1222
Answer: B
Question: A bag contains 4 white balls, 3 black balls, and 2 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Choices:
2/9
3/8
5/16
2/5
Answer: A
Question: 164 candies are distributed to children with the same number. What can’t be the range including the number of children?
Choices:
10~20
20~30
40~50
80~90
Answer: A
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is S?
Choices:
50+3S/100
50+S/40
100+S/50
100+3S/100
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 865 in 4 years. The sum is:
Choices:
s. 665
s. 698
s. 700
s. 720
Answer: A
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 20%. What was its profit on the items sold in February?
Choices:
20%
35%
37.5%
40%
Answer: A
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 16 hrs and a machine of type S does the same job in 8 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:
A)3
C)6
D)9
E)12
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/455
12/455
12/451
12/452
Answer: B
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Choices:
47%
50%
59%
60%
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
1/6
1/5
1/3
Answer: A
Question: Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 3/4 brand X and 1/4 brand Y. what fraction of the cost of the blend is Brand X?
Choices:
a. 6/7
3. 1/2
4. 2/3
5. 3/4
Answer: A
Question: Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 75 km more than the other. What is the distance between the two stations?
Choices:
675 km
276 km
178 km
176 km
Answer: A