antoine-444/aqua_rat_dataset huggingface dataset:
Question: A school bus travels from kormangala to Electronic City. There are four children in the bus. Each child has four backpacks with him. There are four dogs sitting in each backpack. Every dog has four puppies with her. All these dogs have four legs, with four toes at each leg.
Choices:
5160
5170
5180
5190
Answer: B
Question: A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?
Choices:
10
27
18
19
Answer: A
Question: Given that E and F are events such that P(E) = 36, P(F) = 24 and P(E n F) = 36,
find P (E|F) and P(F|E)
Choices:
8
2
6
12
Answer: B
Question: If after 250 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Choices:
220 grams
250 grams
350 grams
500 grams
Answer: D
Question: If 0.5% of A =85 paise, then the value of A is ?
Choices:
Rs. 170
Rs. 1.70
Rs. 4.25
None
Answer: A
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
Choices:
1/8
1/5
1/9
1/2
Answer: B
Question: At what angle the hands of a clock are inclined at 15 minutes past 5?
Choices:
135/2
135/1
135/7
135/73
Answer: A
Question: Two trains 300m and 400m long run at the speed of 36kmph and 18 kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Choices:
46.67 sec
10.8sec
12.6sec
15sec
Answer: A
Question: A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 3.5 grams per cubic centimeter and mineral Y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)
Choices:
3,200,000
55,000
28,000
280
Answer: A
Question: A car travels uphill at 30 km/hr and downhill at 70 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
Choices:
33kmph
34kmph
35kmph
37kmph
Answer: D
Question: If six persons sit in a row, then the probability that three particular persons are always together is -.
Choices:
1/5
1/9
1/2
2/7
Answer: A
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is ?
Choices:
25/42
25/27
25/19
25/25
Answer: A
Question: Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?
Choices:
65,15
30,20
35,20
40,50
Answer: A
Question: Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
15 hours
10 hours
12 hours
7 4/9 hours
Answer: D
Question: If a+ |a| + b= 7 and a+ |b| - b=6 , then a+ b=
Choices:
3
5
6
9
Answer: A
Question: x is a positive integer less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
Choices:
22
23
24
25
Answer: C
Question: Tough and Tricky questions: Combinations.
Five contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
7
15
16
24
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190 Sec
277 Sec
177 Sec
667 Sec
Answer: A
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Choices:
42, 33
44, 33
44, 36
45, 46
Answer: A
Question: On the x-y coordinate plane there is a parabola, y=x(4-x). Which of the following points is in the region that is enclosed by this parabola and the x-axis?
I. (1, 4) II. (2, 3) III. (4, 1)
Choices:
II only
III only
I and II
I, II, and III
Answer: A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
375
355
326
281
Answer: A
Question: (y^n - b^n) is completely divisible by (y - b), when
Choices:
n is even natural number
n is any natural number
n is prime
None
Answer: B
Question: A rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
Choices:
b) 6 inches
c) 5 inches
d) 8 inches
e) 10 inches
Answer: B
Question: A 8% product yields 10%. The market value of the product is:
Choices:
Rs. 40
Rs. 70
Rs. 80
Rs. 50
Answer: C
Question: Which answer is closest to the √36?
Choices:
5
6
7
8
Answer: B
Question: If positive integer k is divided by 4, the quotient is m and the remainder is 2, then which of the following must be true?
I. k + m is even
II. k cannot be a even number
III. k is divisible by 3
Choices:
None
II
III
I and II only
Answer: A
Question: An choclate store received shipments of ingredients on Monday and Tuesday . Tuesday's shipment had 3 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
Choices:
0 and 1/10 pounds
10 and 2/5 pounds
11 pounds
11 and 1/7 pounds
Answer: A
Question: Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 9800 envelopes.
Choices:
3
4
6
7
Answer: D
Question: John deposited $10,000 to open a new savings account that earned 10 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
Choices:
$10,101.75
$10,506.25
$10,201.35
$10,404.25
Answer: B
Question: A committee of four people is to be chosen from five married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
48
64
80
96
Answer: C
Question: Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 27 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?
I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks
Choices:
27/8
4
9
12
Answer: A
Question: Sandy invested a certain sum of money at 12% p.a. simple interest for 'n' years. At the end of 'n' years, Sandy got back 4 times the original investment. What is the value of n?
Choices:
25
30
35
40
Answer: A
Question: A train 550 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
Choices:
6 sec
7 sec
10 sec
30 sec
Answer: D
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:
2.02%
4%
4.04%
5%
Answer: C
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 200 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
200x/y
200x - y
200y/x
200xy
Answer: A
Question: A certain barrel, which is a right circular cylinder, is filled to capacity with 300 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
Choices:
2100 gallons
2300 gallons
2100 gallons
2800 gallons
Answer: C
Question: Tommie spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Tommie won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day?
Choices:
500
520
540
620
Answer: B
Question: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L must passes through the first quadrant.
2. Line L does pass the origin.
3.The slope of L is negative
Choices:
II only
III only
I and II
II and III
Answer: B
Question: In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% in both. The percentage of these who passed in both the subjects is :
Choices:
37
28
40
81
Answer: C
Question: A can do a piece of work n 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each. How long will they take to do it working together 8 2/5 hours a day?
Choices:
3 days
2 days
8 days
4 days
Answer: A
Question: What is the probability that in the rearrangements of the word AMAZED, the letter ’E’ is positioned in between the 2 ’A’s (Not necessarily flanked)?
Choices:
1/4
1/3
1/5
1/8
Answer: B
Question: If b does not equal zero, and ab = b/6, what is the value of a?
Choices:
A)1/6
C)1/3
D)1/2
of the above
Answer: A
Question: How many ways are there to split a group of 8 boys into two groups of 4 boys each? (The order of the groups does not matter)
Choices:
35
42
44
46
Answer: A
Question: If A is thrice as fast as B and together can do a work in 12 days. In how many days A alone can do the work?
Choices:
16
28
54
45
Answer: A
Question: Length of a rectangular plot is 28 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
64 m
74 m
84 m
94 m
Answer: A
Question: The sum of two number is 25 and their difference is 13. Find their product.
Choices:
114
315
325
271
Answer: A
Question: Two dice are tossed. The probability that the total score is a prime number is
Choices:
5/7
31/7
6/7
5/12
Answer: D
Question: A certain elevator has a safe weight limit of 2,500 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?
Choices:
8
9
10
11
Answer: D
Question: The Royals softball team played 75 games and won 55 of them. What percent of the games did they lose? (round to the nearest tenth)
Choices:
26.7% games lost
25.7% games lost
20.7% games lost
22.7% games lost
Answer: A
Question: Some of the people in Town B are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town B, three times as many people are tall as are tall in Town B, three times as many people are both as are both in Town B, but no one is neither. If the total number of people in Town B is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town B who are neither left-handed nor tall?
Choices:
39
72
143
199
Answer: C
Question: January 1, 2007 was Monday. What day of the week lies on Jan. 5, 2008?
Choices:
Tuesday
Wednesday
Saturday
Sunday
Answer: C
Question: Beth received 1/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Choices:
2/7
3/8
7/20
1/2
Answer: B
Question: One pipe can fill a tank four times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
Choices:
180 min
280 min
18 min
190 min
Answer: A
Question: the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
Choices:
49
55
45
50
Answer: C
Question: A firm has 4 senior partners and 6 junior partners. How many different groups Q of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
100
120
288
600
Answer: A
Question: A software programmer does 20% of the work in 70% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
Choices:
15x/15
7x/15
2x/30
13x/30
Answer: A
Question: If 7^(x - y) = 343 and 7^(x + y) = 16807, what is the value of x?
Choices:
4
2
1
7
Answer: A
Question: The average marks obtained by 100 candidates in an examination is 50. Find how many candidates have passed in the examination, if the average marks of candidates who passed is 70 and that of failed candidates is 20.
Choices:
77
60
29
11
Answer: B
Question: David has d books, which is 2 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
Choices:
7/3*d
10/3*d
7/2*d
9/2*d
Answer: C
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
1
10
19
21
Answer: C
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $55,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
Choices:
$11,200
$12,000
$19,800
$13,200
Answer: C
Question: A watch was sold at a loss of 10%. If it was sold for Rs.182 more, there would have been a gain of 4%. What is the cost price?
Choices:
s:1067
s:1278
s:1300
s:1027
Answer: C
Question: If the complement of a certain angle is three times the measure of that certain angle, then what is the measure of that certain angle?
Choices:
30
22.5
18
15
Answer: B
Question: The length of a rectangular garden is three times its width. If the area of the rectangular garden is 432 square meters, then what is the width of the rectangular garden?
Choices:
9
10
11
12
Answer: D
Question: If the number 517*324 is completely divisible by 7, then the smallest whole number in the place of * will be:
Choices:
1
2
4
6
Answer: D
Question: Vijay 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:
19.7
21
21.1
23
Answer: A
Question: In a certain population, there are 4 times as many people aged twenty-one or under as there are people over twenty-one. The ratio of those twenty-one or under to the total population is
Choices:
4 to 5
1 to 4
2 to 3
3 to 4
Answer: A
Question: In how many ways can 8 Indians , 4 Americans and 4 Englishmen be selected in a row so that all persons of the same nationality sit together?
Choices:
3!8!4!4!
8!
4!4!4!
4!4!
Answer: A
Question: Sonika bought a V.C.R. at the list price of 18,400. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.
Choices:
19,872
19,680
19,380
None of these
Answer: A
Question: A word is defined as a sequence of four dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
Choices:
48
64
81
120
Answer: C
Question: The area of a triangle is with base 4m and height 6m?
Choices:
10 m2
18 m2
19 m2
12 m2
Answer: D
Question: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work?
Choices:
276
27
14
66
Answer: C
Question: House owner decides to repaint the house. He want to make a particular wall in the hall, decorative and decides to put 7 coloured horizontal stripes in it. The seven colours he chose is Violet, Indigo, Blue, Green, Yellow, Orange, Red. As Blue, Violet and Indigo are very similiar shades he decides not to put them next to each other. How many different patterns do he have to choose from?
Choices:
7! - (5!×2!)
6! - (2!×4!)
7! - (5!×3!)
7! - (6!×3!)
Answer: C
Question: Four equal circles are described about the four corners of a square so that each touches two of the others. If a side of the square is 14 cm, then the area enclosed between the circumferences of the circles is :
Choices:
42 cm2
154 cm2
196 cm2
None of these
Answer: A
Question: A number is to be multiplied by the fraction 4/5.But amit, by mistake multiplied it by 5/4 and obtained the number 81 more than the correct value.what was the original number?
Choices:
240
180
120
100
Answer: B
Question: The ratio of the adjacent angles of a parallelogram is 6 : 9. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Choices:
228°
156°
224°
None of these
Answer: B
Question: What is x if x + 2y = 10 and y = 3?
Choices:
4
5
8
9
Answer: A
Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 7 (B + G) is ?
Choices:
more than 7
More than 3
Less than 1/3
none of these
Answer: A
Question: 10% of the inhabitants of village having died of cholera, a panic set in during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
Choices:
6000
4000
8000
9000
Answer: A
Question: The cost of a Washing machine was $400 in 1985. In 2014, the cost had increased to $800. What was the percent increase in the cost of Washing machine?
Choices:
40
60
200
100
Answer: D
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 3%. What is the cost price?
Choices:
2876
1077
2778
2711
Answer: B
Question: At a party, there were seven times as many females as males and twice times as many adults as children. Which of the following could NOT be the number of people at the party?
Choices:
258
215
120
72
Answer: B
Question: Ratio of the earnings of A and B is 4:7. If the earnings of A increases by 50% and those of B decreased by 25%, the new ratio of their earnings becomes 8:7. What are A's earnings?
Choices:
83,20
23,320
Data inadequate
39,309
Answer: C
Question: Village P’s population is 1150 greater than Village Q's population. If Village Q’s population were reduced by 200 people, then Village P’s population would be 4 times as large as Village Q's population. What is Village Q's current population?
Choices:
625
650
675
700
Answer: B
Question: 22 + 23 + 24 + ... 61 + 62 + 63 = ?
Choices:
1362
1363
1364
1785
Answer: D
Question: Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
Choices:
76
24
20
12
Answer: B
Question: A and B invests Rs.6000 and Rs.12000 in a business. After 6 months, A withdraws half of his capital and B withdraws two-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
27:32
32:27
27:29
27:31
Answer: A
Question: On 5th Mar, 2012 Monday falls. What day of the week was it on 5th Mar, 2011?
Choices:
Sunday
Monday
Tuesday
Wednesday
Answer: A
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
Choices:
5000
2878
2990
2771
Answer: A
Question: A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 30% melted chocolate and 70% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50% of each?
Choices:
2.14
3
4.5
5
Answer: A
Question: A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
Choices:
50m
54m
72m
70m
Answer: A
Question: A number of the form 213ab, where a and b are digits, has a reminder less than 10 when divided by 100. The sum of all the digits in the above number is equal to 13. Find the digit b.
Choices:
10
7
12
13
Answer: B
Question: If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 8400 ?
Choices:
Rs 12
Rs 14
Rs 16
Rs 18
Answer: B
Question: For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <4>*<2>?
Choices:
116
360
263
478
Answer: B
Question: If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 1/12 then b= ?
Choices:
1/6
6
-6
3
Answer: C
Question: The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $50,000, how much profit did the business make?
Choices:
$80,000
$120,000
$150,000
$200,000
Answer: A
Question: Using only the digits from 0 to 6 , how many 5 digit codes can be constructed, if the first digit can not be 4 and no digits is used more than once ?
Choices:
2160
777
720
620
Answer: A
Question: A, Band C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Choices:
8 days
9 days
10 days
11 days
Answer: A
Question: L is a positive integer and 225 and 216 are both divisors of L. If L=(2^a)*(3^b)*(5^c), where a, b and c are positive integers, what is the least possible value of a+ b+ c?
Choices:
5
6
8
7
Answer: C
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
141600 m
153600 m
161600 m
165600 m
Answer: B
Question: If a and b are each greater than x and y, which of the following must be true?
I. ab > xy
II. |a| + |b| > |x| + |y|
III.a + b > x + y
Choices:
II only
I and II
I and III
I, II and III
Answer: A
Question: If a boat goes 5 km upstream in 50 minutes and the speed of the stream is 3 kmph, then the speed of
the boat in still water is
Choices:
9 kmph
14 kmph
15 kmph
None of these
Answer: A
Question: The expression ab+a is odd when the a and b are integers. Which of the following expressions must be even?
Choices:
b
a + b
ab - a
a + b^2
Answer: A
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Choices:
7867 sq m
1897 sq m
4783 sq m
4312 sq m
Answer: D
Question: If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE
Choices:
112
114
118
120
Answer: B
Question: What is the difference between the C.I. on Rs. 8000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Choices:
s.3.26
s.2.02
s.2.83
s.2.42
Answer: A
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum V of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
V=4x
V=5x/3
3x/2
3x/5
Answer: A
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices:
6
8
5
3
Answer: A
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ?
Choices:
6/10
2/10
3/10
5/10
Answer: C
Question: There are 2 couples. If they will sit 4 chairs in a row such that each couple sits side by side, how many possible cases are there?
Choices:
8
1,200
2,460
3,840
Answer: A
Question: A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
Choices:
20 min
30 min
40 min
60 min
Answer: C
Question: A man can row 7.5 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.
Choices:
2.5 km/hr
1 2.6 km/hr
22.5 km/hr
22.6 km/hr
Answer: A
Question: The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations Q of soloists can appear in the liner notes?
Choices:
10!/(5!5!)
10!/5!
10!
10!*5!
Answer: A
Question: What is the place value of 0 in the numeral 2074?
Choices:
0
2
5
6
Answer: A
Question: A boat running downstream cover a distance of 24km in 6 hr while covering the same distance upstream it takes 8 hr then the speed of the boat still in the water
Choices:
9.5km/hr
3.5km/hr
25.6km/hr
12.3km/hr
Answer: B
Question: The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 12, how many more dollars, in terms of x, will it cost per person?
Choices:
x/16
x/40
3x/40
3x/80
Answer: B
Question: A grocer has a sale of Rs. 4435, Rs. 4927, Rs. 4855, Rs. 5230 and Rs. 4562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 4500?
Choices:
2991
3991
4521
5991
Answer: A
Question: On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The first box contains $5, the second $500, and the third $5000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. What is the probability that a contestant will win more than $5000?
Choices:
4/6
3/6
1/2
1/6
Answer: D
Question: Working simultaneously and independently at an identical constant rate, 30 machines of a certain type can produce a total of x units of product P in 3 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 5x units of product P in 10 days?
Choices:
44
45
47
50
Answer: B
Question: Five different books (A, B, C, D and E) are to be arranged on a shelf. Books A , B ,C and D ARE to be arranged first and second starting from the right of the shelf. The number of different orders in which books E may be arranged is
Choices:
6!
8!
1!
12!
Answer: C
Question: In how many ways can 7 distinct objects be divided among three people so that either one or two of them do not get any object?
Choices:
304
316
381
391
Answer: C
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is ?
Choices:
27/42
25/45
25/41
25/42
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
25%
65%
45%
35%
Answer: A
Question: X and Y are two points respectively on sides AB and AC of triangle ABC such that XY is parallel to BC. If the ratio of area of triangle AXY to that of the trapezium XYCB is 25:144 and XY=13 cm, then find the length of BC.
Choices:
13
14
11
15
Answer: C
Question: 8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :
Choices:
15/39
15/31
15/32
15/34
Answer: A
Question: Look at this series: 0.25, 1.75, ____, 85.75, 600.25, ... What number should fill the blank?
Choices:
12.25
13.25
9.25
10.75
Answer: A
Question: In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Choices:
22 years
88 years
55 years
33 years
Answer: A
Question: How many even number in the range between 10 to 170 inclusive are not divisible by 3
Choices:
30
31
33
54
Answer: D
Question: Find the mean proportional between 49 & 64?
Choices:
B)61
C)56
D)65
E)67
Answer: B
Question: The sum of all the integers a such that -26 < a < 24 is
Choices:
-2
-25
-49
-51
Answer: C
Question: A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. working together, they can do it in
Choices:
22 ½ days
25 days
30 days
35 days
Answer: A
Question: After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 70%?
M13-03.
Choices:
N+69
2N+70
2N+72
2N−35
Answer: A
Question: If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many C such committees are possible?
Choices:
40
C=50
C=80
C=120
Answer: C
Question: If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.6 SDs from the mean?
Choices:
14
12
15
16
Answer: B
Question: Calculate the cost of j bottles of wine given that the cost of k bottles of said wine is c rupees?
Choices:
Rs.(j*k)
Rs.(j-k)
Rs.(c/k)
Rs.(jc/k)
Answer: D
Question: The average of 21 numbers is 44. Average of the first 11 of them is 48 and that of the last 11 is 41. Find the 11th number?
Choices:
51
47
49
55
Answer: D
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 7 * 9 =?
Choices:
68
72
80
77
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
8 2 ½ kmph
2 7 ½ kmph
2 2 ½ kmph
3 2 ½ kmph
Answer: C
Question: Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 15 kmph and Prasanna moves southward at a speed of 45 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
Choices:
50
28
27
60
Answer: D
Question: A car covers a distance of 624 km in 6 ½ hours. Find its speed?
Choices:
104 kmph
114 kmph
108 kmph
110 kmph
Answer: A
Question: The line C represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1
Choices:
y = x^2+5x+2
y = 3x^2+5x+2
y = 3x^2+7x+2
y = x^2+7x+1
Answer: B
Question: On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent W of thatbeforeJuly 1 last year?
Choices:
99%
100%
101%
110%
Answer: A
Question: If X = 2 + 1/(1+1/(1-1/2))then the value of 6x+7/3?
Choices:
16 1/3
11
11 2/3
12
Answer: A
Question: A security guard at a certain store is instructed to check the receipt of one out of every five customers as they are leaving the store. If, on the guard's shift, 15 customers leave the store, how many different samples of customers could have been selected to have their receipts checked?
Choices:
105
59
90
100
Answer: A
Question: A photo-mat shop charges $0.55 for the first photo inside a film, and 30% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 32 photos?
Choices:
5 films and 6 photos
5 films and 14 photos
6 films and 4 photos
6 films and 28 photos
Answer: B
Question: A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
Choices:
40 days
50 days
60 days
70 days
Answer: C
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:
278
255
150
287
Answer: C
Question: Buses leave town B at 3 pm and every 10 hours after that. Buses leave town C at 4pm and every 15 hours after that. If the buses follow this schedule beginning on a Monday, what is the earliest day A on which the buses leave at the same time.
Choices:
Wednesday
Thursday
Sunday
A=The busses will never leave at the same time
Answer: D
Question: 78, 64, 48, 30, 10, (...)
Choices:
-14
12
0
-12
Answer: D
Question: In what ratio should the profit of Rs.8000 be divided if X starts a business with an investment of Rs. 20000, Y invests Rs.7500 for 4 months and Z invests Rs.15000 after 3 months from the start of the business.
Choices:
8 : 3 : 6
16 : 2 : 9
6 : 9 : 1
None of these
Answer: B
Question: If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 5% and sold only 205 tickets as a result, what percent less would last month's revenue be compared to this month's revenue?
Choices:
5
6100/861
110/20
9/4
Answer: B
Question: How long does a train 180 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
Choices:
56
55
82
62
Answer: A
Question: In the junior basketball league there are 21 teams, 1/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad?
Choices:
6.
7.
8.
11.
Answer: D
Question: A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
140
165
315
Answer: D
Question: The average age of applicants for a new job is 10, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Choices:
16
17
18
34
Answer: B
Question: Robert purchased $2000 worth of US saving bonds. If bonds are sold in $50 or $100 denominations only, which of the following CANNOT be the number of US saving bonds that Robert purchased?
Choices:
27
30
60
70
Answer: D
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector so formed has a central angle of 80°, what fraction of the wheel’s area is represented by the third largest sector?
Choices:
1/6
1/18
1/12
1/9
Answer: A
Question: Find the unit digit in the product 274*318*577*313
Choices:
2
10
26
89
Answer: A
Question: The sum of two numbers is 528 and their H.C.F is 33.The number of pairs of numbers satisfying the above conditions is:
Choices:
4
8
12
none of these
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 5 boys when No boy gets more than one prize?
Choices:
14
17
24
60
Answer: D
Question: If a: b :: 3 : 4, then what is (5a+6b): (a-2b)?
Choices:
-57:11
11 : 10
-39 : 5
-1 : 10
Answer: C
Question: If 40% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
Choices:
528
530
520
510
Answer: A
Question: How many integers between 1 and 10^20 are such that the sum of their digits is 2?
Choices:
210
211
230
231
Answer: A
Question: If g(x) = ax^5 + bx^3 + 5, and g(5) = 10, then g(–5) =?
Choices:
– 8
– 6
0
4
Answer: C
Question: The average mark obtained by 22 candidates in an examination is 49. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Choices:
0
99
88
66
Answer: C
Question: In how many ways can a cricket eleven be chosen out of a batch of 15 players ?
Choices:
1365
4512
7845
1549
Answer: A
Question: A shopkeeper has 280 kg of apples. He sells 50% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
Choices:
25%
26%
28%
35%
Answer: C
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
Choices:
6
8
None of these
Cannot be determined
Answer: B
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m?
Choices:
27908
24000
25000
27991
Answer: B
Question: Which of the statements is true for 3111 & 1714
Choices:
88
66
17
16
Answer: A
Question: A bullet train is moving at a speed of 132 km/hr. If the length of the bullet train is 110 metres, how long will it take to cross a railway platform 165 metres long?
Choices:
9 ½ sec
3 ½ sec
7 ½ sec
6 ½ sec
Answer: C
Question: If x is an odd integer and y = 2x + 8, which of the following CANNOT be a divisor of y?
Choices:
14
18
21
22
Answer: C
Question: Due to 10% decrease in the price of sugar and John can buy 3kg more sugar in Rs100 , then find the CP of sugar?
Choices:
s. 2(2/9)
s. 2(1/9)
s. 3(19/27)
s. 4(2/9)
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3 : 2
3 : 4
4:2
None of these
Answer: A
Question: A bag contains 7 red, 9 blue and 5 green balls. If 3 balls are picked at random, what is the probability that both are red?
Choices:
3/41
5/26
1/38
5/32
Answer: C
Question: In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Choices:
5/6
7/3
5/9
5/3
Answer: A
Question: If 18 persons can build a wall 140 m long in 42 days, the number of days that 30 persons will take to complete a similar wall 100 m long, is.
Choices:
18
24
28
30
Answer: A
Question: The wheel of an engine 30/7 metres in circumference makes seven revolutions in 4seconds. Find the speed of the train in km per hour?
Choices:
25km/hr
32km/hr
18km/hr
27km/hr
Answer: D
Question: At what rate percent of simple interest will a sum of money double itself in 44 years?
Choices:
4.54 %
8 .2 %
4.94 %
2.27 %
Answer: D
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
56.25
56.27
56.29
56.21
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 35 kmph. Of how many minutes does the train stop per hour?
Choices:
83
12
13
28
Answer: C
Question: A rectangular field has a length 10 meters more than it is width. If the area of the field is 171, what is the length (in meters) of the rectangular field?
Choices:
19
21
23
25
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 30 km/hr and 90 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
30
26
23
12
Answer: A
Question: Dames school has 2000 boys and 5000 girls. What is the percentage increase from boys to total attendance and girls to total attendance?
Choices:
40%
.4%
50%
12%
Answer: A
Question: What is the minimum number of people to join into this group so that when they are grouped into 5, none will remain ungrouped ? Without newcomers when they are grouped into 6, 4 of them remain ungrouped and when they are grouped into 9, 7 of then reamin ungrouped.
Choices:
4
6
8
10
Answer: A
Question: Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
Choices:
19
25
5
20
Answer: B
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 31.1%. What would have been the percentage of profit earned if no discount had been offered?
Choices:
38
30
Data inadequate
None of these
Answer: A
Question: Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
Choices:
10 %
5 5/11%
6/7 %
10/11 %
Answer: B
Question: A and B start a business, with A investing the total capital of Rs.25000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.250 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
B)33500
C)22510
D)33510
E)11500
Answer: D
Question: In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 21,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got four times as many votes as the other candidate, how many people have voted in each round?
Choices:
70,000
40,000
50,000
60,000
Answer: A
Question: If x and y are positive integers and 3 + x + y + xy = 17, what is the value of x + y?
Choices:
5
6
8
9
Answer: B
Question: What will come in place of the x in the following Number series? 18, 22, 30, 46 ,78, X
Choices:
56
142
87
98
Answer: B
Question: What approximate value should come in place of question mark (?) in the following equation?
33 1⁄3% of 768.9 + 25% of 161.2 – 68.12 = ?
Choices:
230
235
220
240
Answer: A
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?
Choices:
1/26
1/13
1/4
5/13
Answer: B
Question: John and Steve are speed walkers in a race. John is 15 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
Choices:
17 seconds
26 seconds
34 seconds
51 seconds
Answer: C
Question: If a coin is tossed 3 times what is the probability that it will land either heads 3 times or tails 3 times?
Choices:
1/4
1/2
1/8
1/32
Answer: A
Question: The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is ?
Choices:
2778
4320
1987
1212
Answer: B
Question: The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 8 ?
Choices:
200
128
116
122
Answer: A
Question: 3 people, harry, john , and Cassie, have speeds of 3 mph, 4 mph and 6 mph respectively. They run a race in which john gives harry a head start of 2 hrs. If both john and Cassie overtake harry at the same time, what head start did Cassie give harry?
Choices:
4 hours
5 hours
9 miles
10 miles
Answer: A
Question: A college has classes from 10:00 AM until 1:45 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
Choices:
41 min
40 min
42 min
52 min
Answer: A
Question: If x and y are odd integers, which of the following must always be a non-integer
Choices:
xy/4
x/y
y/x
-x^2y
Answer: A
Question: What is the unit digit in {(6374)^1793 x (625)^317 x (341^491)}?
Choices:
0
3
5
6
Answer: A
Question: Each digit 1 through 5 is used exactly once to create a 5-digit integer. If the 5 and the 4 cannot be adjacent digits in the integer, how many 5-digit integers are possible?
Choices:
66
76
78
72
Answer: D
Question: Adding two non multiples of E always results in a multiple of E; which of the following must be the value of E ?
Choices:
[A] two
[C] five
[D] ten
[E] hundred
Answer: A
Question: When 20 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
Choices:
2 : 1
3 : 2
Data inadequate
None of these
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 2 days and B leaves after 4 days from the beginning. How long will work lost?
Choices:
9 2/3 days
10 2/3 days
10 days
11 days
Answer: B
Question: If two students starting from same point, walking in the opposite directions with 6km/hr and 9km/hr as average speeds respectively. Then the distance between them after 4 hours is?
Choices:
55km
15km
60km
75km
Answer: C
Question: There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that no two girls sit together?
Choices:
6!5!/12!
6!6!/12!
2∗6!6!/12!
6!7!/12!
Answer: C
Question: How many ways can 4 friends be arranged around a circular dinner table?
Choices:
A)6
C)96
D)120
E)720
Answer: A
Question: A lent Rs. 4000 to B for 2 years and Rs. 2000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is :
Choices:
15%
12%
13.75%
14.56%
Answer: C
Question: Insert the missing number. 12, 25, 49, 99, 197, 395, X
Choices:
722
780
812
789
Answer: D
Question: The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 24 kmph?
Choices:
22.26
90.9
24.86
25.25
Answer: B
Question: How many 6 letter words are formed using the letters of the word POLICY?
Choices:
420
750
680
720
Answer: D
Question: A marketing firm determined that, of 200 households surveyed, 80 used neither Brand W nor Brand B soap, 60 used only Brand W soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
Choices:
20
30
40
45
Answer: C
Question: 12 + 13 + 14 + ... 51 + 52 + 53+ 54 = ?
Choices:
1419
1363
1364
1365
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
52
76
21
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
58
64
65
70
Answer: B
Question: a = 5^15 - 125^3 and a/x is an integer, where x is a positive integer greater than 1, such that it does NOT have a factor p such that 1 < p < x, then how many different values for x are possible?
Choices:
None
Two
Three
Four
Answer: A
Question: If n is an integer greater than 6, which of the following must be divisible by 11 ?
Choices:
n(n + 4)(n – 2)
n(n + 3)(n – 5)
n(n + 1)(n – 4)
n(n + 2)(n – 1)
Answer: C
Question: Set I consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set I, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?
Choices:
-1
0
1
2
Answer: B
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Choices:
3245
3457
5688
3158
Answer: D
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
Choices:
1
7
8
9
Answer: C
Question: 14 is what percent of 70?
Choices:
2%
5%
20%
500%
Answer: C
Question: How many integers between 100 and 300 are there such that their unit digit is odd?
Choices:
100
200
50
150
Answer: A