antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a class of 60 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Choices:
6
24
33
54
Answer: A
Question: Which of the following equations is NOT equivalent to 4u^2 = y^2 - 9 ?
Choices:
4u^2 - y^2 = -9
4u^2= (y + 3)(y - 3)
2u = y - 3
u^2 = (y^2-9)/4
Answer: C
Question: A used cars salesman receives an annual bonus if he meets a certain quota. This year, the salesman has so far sold 1/5 of last year's quota. If this year's quota is reduced by 25 percent from last year, the quantity that he still needs to sell this year in order to receive the annual bonus is what fraction of the preceding year's car quota?
Choices:
4/20
3/4
11/20
9/20
Answer: C
Question: If the average marks of three batches of 56, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is
Choices:
54.68
54.65
54.58
None of these
Answer: B
Question: A toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 3/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choices:
1/2
2/3
2
4
Answer: C
Question: The average age of three boys is 20 years and their ages are in the proportion 2 : 3 : 5. The age of the youngest boy is:
Choices:
18 years
15 years
9 years
None of these
Answer: A
Question: Each student at a certain business school is assigned a 3-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?
Choices:
3,600
2,700
360
1,944
Answer: C
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
24%
54%
64%
34%
Answer: C
Question: A train 125 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
60
79
80
Answer: B
Question: A train moves at average speed of 40kmph reaches its destination on time.what its average speed becomes 35kmph , then it reaches its destination 15 late. find the length of the journey?
Choices:
70km
38km
14km
1km
Answer: A
Question: In a sports club with 30 members, 16 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?
Choices:
7
9
10
11
Answer: A
Question: If (x/y)=(8/5), find the value (x^2+y^2)/(x^2-y^2)
Choices:
89/39
51/77
41/11
None of them
Answer: A
Question: Marginal cost is the cost of increasing the quantity produced (or purchased) by one unit. If the fixed cost for n products is $10,000 and the marginal cost is $200, and the total cost is $40,000, what is the value of n?
Choices:
50
60
80
150
Answer: D
Question: A person can row at 10 kmph and still water. He takes 5 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 2 kmph?
Choices:
25 km
28 km
24 km
20 km
Answer: C
Question: If a certain sample of data has a mean of 25.0 and the value 36.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
Choices:
3.5
3.25
3.0
4.35
Answer: D
Question: The integer x is divisible by both 15 and 25. Which of the following must be an integer?
Choices:
x/75
x/84
x/36
x/26
Answer: A
Question: The H.C.F of 2^4*3^2*5^3*7, 2^3*3^3*5^2*7^2 and 3*5*7*11 is?
Choices:
105
2310
27720
None of these
Answer: A
Question: Four brothers Adam, Bill, Charles and David together contributed certain amount of money and purchased a car. The contribution made by Adam is half that of the total contribution made by the other three brothers, contribution made by Bill is one-fourth of the total contribution made by the other three brothers and the contribution made by Charles is two-third of the total contribution made by the other three brothers. If the total price of the car is $9000, find the contribution made by David.
Choices:
$580
$600
$660
$680
Answer: B
Question: The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 16000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Choices:
Rs. 8000
Rs. 8500
Rs. 9000
None
Answer: C
Question: How many words can be formed by using all letters of the word ‘COMPUTER’ ?
Choices:
36180
40320
45860
48240
Answer: B
Question: A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 560 pounds after processing, how many pounds did it weigh before processing?
Choices:
355
737
861
1,560
Answer: C
Question: In a game of 90 points, A can give B 20 points and C 25 points. then how many points can B give C in a game of 80?
Choices:
6.71
5.71
7.71
3.71
Answer: B
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
Choices:
18 sec
19 sec
10 sec
15 sec
Answer: C
Question: If (10^4 * 3.456789)^9 is written as a single term, how many digits would be to the right of the decimal place?
Choices:
12
18
32
48
Answer: B
Question: A car drove from Town A to Town B without stopping. The car traveled the first 70 miles of its journey at an average speed of 25 miles per hour. What was the car’s average speed, in miles per hour, for the remaining 90 miles if the car’s average speed for the entire trip was 40 miles per hour?
Choices:
48
50
55
75
Answer: D
Question: A train 560 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
126 kmph
54 kmph
71 kmph
88 kmph
Answer: A
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 6:2. The ratio of economy cars to sport utility vehicles is 5:3. What is the ratio of luxury cars to sport utility vehicles?
Choices:
8:9
6:2
2:3
1:2
Answer: A
Question: if log 5 = 0.69897, the number of digits in 5128 is
Choices:
90
88
28
11
Answer: A
Question: Suganya and Suriya are partners in a business. Suganya invests Rs. 35,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.31,570. Suganya's share is
Choices:
Rs.12,628
Rs.18,040
Rs.18,942
None
Answer: B
Question: Due to construction, the speed limit along an 5-mile section of highway is reduced from 52 miles per hour to 36 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) 8
C) 10
D) 2.57
E) 24
Answer: C
Question: A set of numbers has an average of 50. If the largest element is 3 greater than 3 times the smallest element, which of the following values cannot be in the set?
Choices:
90
123
150
155
Answer: D
Question: A focus group is currently made up of x men and y women. If 2 men and 4 women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a man is selected?
Choices:
x/(x + y)
(x + 2)/(x + y + 2)
(y + 4)/(x + y + 6)
(x + 2)/(x + y + 6)
Answer: D
Question: A train is running with a speed of 60 kmph and its length is 110 metres. Calculate the time by which it will pass a man running opposite with speed of 6 kmph
Choices:
4 second
6 second
8 second
10 second
Answer: B
Question: A driver covers a certain distance by car driving at 50 km/hr and returns back to the starting point riding on a scooter at 10 km/hr. What was the average speed for the whole journey?
Choices:
14.8 km/h
16.7 km/h
17.5 km/h
18.9 km/h
Answer: B
Question: When 20 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
Choices:
44
46
48
45
Answer: C
Question: A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)
Choices:
53 problems
27 problems
16 problems
18 problems
Answer: C
Question: A train 500 meters long is running with a speed of 44 kmph. The time taken by it to cross a tunnel 230 meters long is?
Choices:
288 sec
48 sec
61 sec
17 sec
Answer: C
Question: A man rides at the rate of 50km/hr. But stops 20minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 100 kilometers?
Choices:
3hr
8hr 10min
7hr 20min
9hr
Answer: A
Question: Consider there is an elevator and you are at the upside and coming down using elevator. You walk 20 steps and then you stop, then you reach to the ground in 10 minutes. If you walk 10 steps and then stop, then you reach to the ground in 20 minutes. What is the speed of the elevator and How many steps are there??
Choices:
1 step/min
3 step/min
4 step/min
5 step/min
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 44, the dividend is:
Choices:
5336
4884
5345
5350
Answer: B
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 42 minutes. The waste pipe can empty the full cistern in?
Choices:
7 min
5 min
9 min
4 min
Answer: A
Question: The radius of the wheel of a bus is 175 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
Choices:
100
300
330
None of these
Answer: A
Question: There are three departments having students 72,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
Choices:
74
75
76
77
Answer: D
Question: Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 30 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
Choices:
5:14
3:5
4:7
14:5
Answer: D
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choices:
7500
2997
2662
7121
Answer: A
Question: 12 men take 18 days to complete a job whereas 12 women in 18 days can complete 3⁄4 of the same job. How many days will 10 men and 8 women together take to complete the same job?
Choices:
13 1⁄2
12
Data inadequate
None of these
Answer: A
Question: Three small cruise ships, each carrying 10 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random; each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at random to receive a gift certificate worth $35, and at Port C, one passenger will be selected at random to receive a gift certificate worth $25. How many different ways can the gift certificates be given out?
Choices:
450
2,700
4,500
27,000
Answer: D
Question: What is the square root of 121?
Choices:
11
16
18
25
Answer: A
Question: A bag of P peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when Pm is divided by 18?
Choices:
6
2
8
5
Answer: A
Question: 1 boy forgot the last digit of a 7 digit telephone no. If he randomly dial thefinal 3 digits after correctly dialing the 1st four, then what is the chance of dialing the correct no.?
Choices:
3/456
1/1000
1/2314
2/2315
Answer: B
Question: In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Choices:
250
260
300
360
Answer: D
Question: A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability R that a + b is prime?
Choices:
1/12
5/12
7/18
4/9
Answer: B
Question: A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible?
Choices:
2 x 10!
9! x 10!
19!
20!
Answer: A
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance travelled by them if the slower car takes 1 hour more than the faster car.
Choices:
860 km
960 km
460 km
660 km
Answer: A
Question: Sonika deposited Rs.14500 which amounted to Rs.12200 after 3 years at simple interest. Had the interest been 3% more. She would get how much?
Choices:
13505
15003
14500
16400
Answer: A
Question: A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
50 sec
44 sec
36 sec
60 sec
Answer: C
Question: An arithmetic Sequence is a number sequence which has a constant difference between terms. Considering this definition which of the following is an arithmetic sequence?
I. e^2, f^2, g^2, h^2, i^2
II. e-6, f-3, g-5, h-3, i-3
III. 2e, 2f, 2g, 2h,2i
Choices:
III only
I and III
I and II
II only
Answer: A
Question: Tough and Tricky questions: Ratios
1/6 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?
Choices:
2/3
11/15
23/30
4/9
Answer: D
Question: A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 7 more days. How many days would it have taken the second carpenter to do the complete job working alone?
Choices:
7.5
9.5
14.5
24.5
Answer: D
Question: A person borrows Rs. 4000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
Choices:
80 rs
160 rs
180 rs
200 rs
Answer: A
Question: A rectangular garden has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular garden is 1800 square feet, what is the total length of the fence, in feet?
Choices:
100
120
200
300
Answer: C
Question: Gasoline varies in cost from $0.98 to $1.18 per gallon. If a car’s mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost?
Choices:
$15.30
$15.50
$15.75
$15.80
Answer: D
Question: Find the average of first 40 natural numbers?
Choices:
20.5
30.5
35
25
Answer: A
Question: Each of the 38 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 12 students sign up for the poetry club, 20 students for the history club, and 19 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?
Choices:
3
4
5
6
Answer: C
Question: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
Choices:
31
50
22
60
Answer: A
Question: If k^2 is divisible by 240 what is the least possible value of integer K?
Choices:
60
12
90
120
Answer: A
Question: If the cost price is 99% of selling price then what is the profit percentage.
Choices:
1.11
1.01
1.1
1.21
Answer: B
Question: What is the sum of two consecutive even numbers, the difference of whose squares is 84?
Choices:
42
48
56
none
Answer: A
Question: The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly seven elements each?
Choices:
63
54
36
90
Answer: C
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
Choices:
72
15
10
12
Answer: A
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
11 : 8
13 : 7
15 : 7
16 : 9
Answer: B
Question: After a mathematics exam, 20 percent of the students reported that they didn't study, while 20 percent of the students who didn't study refused to admit they hadn't studied. What percent of the students didn't study?
Choices:
50%
35%
20%
25%
Answer: D
Question: A train covers a distance of 12 km in 10 min. If it takes 9 sec to pass a telegraph post, then the length of the train is?
Choices:
189 m
120 m
178 m
180 m
Answer: D
Question: If the price of an article went up by 40%, then by what percent should it be brought down to bring it back to its original price?
Choices:
28.57%
2/1%
1/3%
2/7%
Answer: A
Question: If n is the product of the integers from 1 to 13, inclusive, how many different prime factors greater than 1 does n have?
Choices:
Five
Six
Seven
Eight
Answer: B
Question: If m=9^(x−1), then in terms of m, 3^(4x−1) must be which of the following?
Choices:
9m
27m^2
m^2/3
m^2/9
Answer: B
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
Choices:
7
5
9
3
Answer: B
Question: On a certain date, Pat invested $7,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $28,000, in how many years total will the total value of the investment plus interest increase to $56,000?
Choices:
15
18
20
24
Answer: A
Question: On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 50 percent. What was the total rent the motel actually charged for that night ?
Choices:
$400
$1,000
$1,600
$2,400
Answer: A
Question: It takes John 25 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
5:50 a.m
4:50 a.m
7:50 a.m
8:50 a.m
Answer: C
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.320. How much does C have?
Choices:
78
267
20
27
Answer: C
Question: 5n + 2 > 12 and 7n - 5 < 30; n must be between which numbers?
Choices:
2 and 6
0 and 9
2 and 5
2 and 9
Answer: C
Question: If -1 < x < 0, which of the following must be true?
I. x^5 < x^2
II. x^6 < 1 – x
III. x^7 < x^3
Choices:
I,II,III only
I,III only
II only
I only
Answer: A
Question: An automobile manufacturer offers a station wagon with either a 12-cylinder engine or a 10-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 12-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
Choices:
47
48
50
53
Answer: B
Question: Express a speed of 252 kmph in meters per second?
Choices:
05 mps
09 mps
12 mps
70 mps
Answer: D
Question: Express a speed of 60 kmph in meters per second?
Choices:
16.67 mps
97.67 mps
17.67 mps
18 mps
Answer: A
Question: All of the stocks on the over-the-counter market are designated by either a 7-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
26(26^4)
27(26^4)
2(26^7)
27(26^5)
Answer: C
Question: If t = 20! + 17, then t is divisible by which of the following?
I. 15
II. 17
III. 19
Choices:
I only
II only
I and II
II and II
Answer: B
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 35 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
28
90
26
70
Answer: D
Question: What will come in place of the x in the following Number series? 6, 12, 21, x , 48
Choices:
33
39
41
43
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
1 sec
6 sec
8 sec
12 sec
Answer: B
Question: If A lends Rs.25000 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
1125
1325
1145
2125
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
675 sq.units
169 sq.units
196 sq.units
Answer: A
Question: Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Choices:
10 am
10.30 am
12.30 am
11 am
Answer: A
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
Choices:
2
6
1
0
Answer: A
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 24
III. P is a multiple of 23
Choices:
II only
III only
None of the above
All of the above
Answer: A
Question: In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 30 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Choices:
9.33%
9.6%
9.8%
10%
Answer: A
Question: What is the largest number that will divide 90207, 232585 and 127986 without leaving a
remainder?
Choices:
257
351
498
398
Answer: A
Question: A single letter is selected at random from the word 'SIMS'. The probability that it is a vowel is..??
Choices:
1/4
4/11
3/7
1/2
Answer: A
Question: If 2x + 3y = 59; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
Choices:
31
26
22
None of these
Answer: A
Question: If Sharon's weekly salary increased by 16 percent, she would earn $348 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Choices:
$330
$385
$392
$399
Answer: A
Question: The HCF and LCM of two numbers m and n are respectively 8 and 200. If m + n = 84, then 1/m + 1/n is equal to
Choices:
3/50
5/37
2/35
None
Answer: A
Question: 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
Choices:
4:3
4:2
4:7
4:1
Answer: A
Question: Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts S1,S2,S3 and S4 comined as shown in the table above. What is the expected number J of defective chips in a shipment of 60000 chips?
Choices:
20
22
24
25
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
268
240
889
232
Answer: B
Question: Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
Choices:
25/32
25/22
25/34
25/333
Answer: C
Question: Harper's Apple Farm began expansion of it's apple harvest in 1900. From 1900 to 1950, the number of apples harvested by Harper's Apple Farm increased by 25%. From 1900 to 2000, the number of apples harvested increased by 350%. What was the percentage increase in the number of apples harvested from the year 1950 to the year 2000?
Choices:
167%
260%
250%
500%
Answer: B
Question: If k is a non-negative integer and 30^k is a divisor of 929,260 then 3^k - k^3 =
Choices:
1
45
130
520
Answer: A
Question: If integer k is equal to the sum of all even multiples of 5 between 300 and 610, what is the greatest prime factor of k?
Choices:
32
11
13
17
Answer: A
Question: In a certain pond, 30 fish were caught, tagged, and returned to the pond. A few days later, 30 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choices:
750
1250
2500
10 000
Answer: A
Question: If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 15 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choices:
46 pounds
150 pounds
100 pounds
146 pounds
Answer: B
Question: If x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?
Choices:
0
-1
-2
3
Answer: A
Question: In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 29 and 200, then the least and greatest integers on the card could be
Choices:
3 and 20
5 and 13
4 and 14
5 and 14
Answer: B
Question: The price of a consumer good increased by pp% during 20122012 and decreased by 1212% during 20132013. If no other change took place in the price of the good and the price of the good at the end of 20132013 was 1010% higher than the price at the beginning of 20122012, what was the value of pp?
Choices:
2%
22%
25%
Cannot be determined
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
Choices:
8
16
17
None of these
Answer: A
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 380 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Choices:
287
760
287
720
Answer: B
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number ?
Choices:
78
96
Cannot be determined
None of these
Answer: C
Question: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 35 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Choices:
12%
15%
17%
23%
Answer: D
Question: How much is 25% of 40 is greater than 4/5 of 25?
Choices:
10
66
12
99
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Choices:
22years
24years
25years
27years
Answer: C
Question: If a,b are positive integers and a/b=87.5 which of the following could be the value of b?
Choices:
2. 26
3. 27
4. 28
5. 30
Answer: A
Question: Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?
Choices:
1/27
8/27
19/27
26/27
Answer: A
Question: An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference between Q the highest and the lowest incentive received by the 5 salesmen in the month?
Choices:
$5000
$9000
$11,000
$13,000
Answer: C
Question: Two dogsled teams raced across a 300-mile course in Wyoming. Team A finished the course in 3 fewer hours than did team B. If team A’s average speed was 5 miles per hour greater than that of team B, what was team B’s average speed, in miles per hour?
Choices:
15
18
20
25
Answer: C
Question: If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?
Choices:
Four
Six
Seven
Eight
Answer: A
Question: A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
4%
5%
6%
None of these
Answer: C
Question: Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 4, what is the probability that it is an odd number?
Choices:
1/2
7/10
5/6
3/7
Answer: A
Question: Three coins are tossed. What is the probability of getting at most two tails?
Choices:
6/8
7/8
3/8
1/2
Answer: B
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
Rs.3900
Rs.3228
Rs.3922
Rs.3928
Answer: A
Question: if the ratio of two number is 3:4 and LCM of the number is 180 then what is the number.
Choices:
15
25
30
35
Answer: A
Question: The edges of three metal cubes are 4 cm, 5 cm, and 6 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)?
Choices:
6.8
7.0
7.2
7.4
Answer: D
Question: 1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $70, a 10% discount, plus 30% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $70, a 30% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
Choices:
81.0
81.9
81.5
90.0
Answer: A
Question: A bus covers a certain distance at aspeed of 240 kmph in 5hours. To cover the same distance in 1hr, it must travel at a speed of?
Choices:
590 km/hr
600 km/hr
610 km/hr
720 km/hr
Answer: D
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?Look at this series: 88, 3, 80, 12, __, 21 ... What number is missing?
Choices:
72
68
30
70
Answer: A
Question: What is the probability of getting a sum 9 from two throws of a dice?
Choices:
1/9
1/7
1/12
1/6
Answer: A
Question: Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 150 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Choices:
0.076
0.0076
0.00076
7.6e-05
Answer: B
Question: The sum of three integers is 23. The largest integer is 3 times the middle integer, and the smallest integer is 12 less than the largest integer. What is the product of the three integers?
Choices:
150
175
225
275
Answer: C
Question: What is the unit digit in 7^105?
Choices:
3
1
5
7
Answer: D
Question: Andy has 20 pairs of matched gloves. If he loses 13 individual gloves, which of the following is NOT a possible number of matched pairs he has left?
Choices:
11
13
14
15
Answer: C
Question: There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 445, the last number of the doorplates is 705. How many houses are there?
Choices:
111
121
131
101
Answer: C
Question: The sum q of prime numbers that are greater than 60 but less than 70 is
Choices:
128
191
197
260
Answer: A
Question: What is the ratio E of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Choices:
3/8
1/2
3/5
2
Answer: C
Question: Given a + b = 1, find the value of 2a + 2b. Two solutions are presented below. Only
one is correct, even though both yield the correct answer.
Choices:
5
4
2
1
Answer: C
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180
188
127
211
Answer: A
Question: The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
70,20 kmph
70,70 kmph
78,10 kmph
70,12 kmph
Answer: A
Question: In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 17th, and 18th terms in the sequence?
Choices:
3(2^16)
7(2^16)
3(2^16)
7(2^15)
Answer: A
Question: If x is an odd integer and y and z are even integers, which of the following CANNOT be an integer?
Choices:
x/y
z/x
yx/z
zx/y
Answer: A
Question: Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Choices:
15:8
15:9
15:2
15:3
Answer: A
Question: Find the greatest number which leaves the same remainder when it divides 20, 40 and 90.
Choices:
8
12
10
None of these
Answer: C
Question: It takes one machine 5 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
Choices:
b) 1 1/2
c) 2 2/9
d) 3 1/2
e) 7
Answer: B
Question: What is the least number to be subtracted from 990 to make it a perfect square?
Choices:
90
30
71
80
Answer: A
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10 m2
82 m2
54 m2
28 m2
Answer: A
Question: When a random experiment is conducted, the probability that event A occurs is 1/3. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?
Choices:
8/27
12/37
14/41
16/49
Answer: A
Question: After spending 40 percent machinery, 25 percent in building , 15 percent in raw material and 5 percent on furniture . John had a balance of Rs.1305. Total money with him was?
Choices:
8700
9000
9200
9300
Answer: A
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:
10
88
77
52
Answer: A
Question: The H.C.F. of two numbers is 20 and the other two factors of their L.C.M. are 21 and 23. The larger of the two numbers is
Choices:
299
312
460
None
Answer: C
Question: A 12 by 16 rectangle is inscribed in circle. What is the circumference of the circle?
Choices:
10π
15π
20π
30π
Answer: C
Question: On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 3 cups of tea. Last week Mo drank a total of 20 cups of tea and hot chocolate together. If during that week Mo drank 10 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Choices:
3
2
5
6
Answer: B
Question: A company, Chauncy Co., has an annual travel budget of $55,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on non transportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choices:
$500
$4,225
$5,725
$60,725
Answer: C
Question: A train moves with a speed of 108 kmph. Its speed in metres per second is
Choices:
18
30
38.8
None
Answer: B
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 96km/h, what is the circumference of the tire?
Choices:
4 meters
5 meters
3 meters
7 meters
Answer: A
Question: In how many years, Rs. 150 will produce the same interest at 6% as Rs. 500 produce in 2 years at 4½% ?
Choices:
5 years
8 years
9 years
12 years
Answer: A
Question: On Monday, a certain animal shelter housed 58 cats and dogs. By Friday, 1/6 of the cats and 1/5 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?
Choices:
8
9
10
11
Answer: D
Question: Along a yard 414 metres long, 24 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Choices:
18
10
11
12
Answer: A
Question: If 7 and 11 are prime numbers, which of the following CANNOT be the sum of a and b?
Choices:
36
19
54
72
Answer: B
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 240 m in length?
Choices:
88.9 sec
22.9 sec
21.00 sec
72.0 sec
Answer: C
Question: An investor deposited $5,000 to open a new savings account that earned 8 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
Choices:
$5101
$5202
$5303
$5404
Answer: B
Question: The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 6, 8, 14 and 16. What is the range in the number of years of service of the eight employees?
Choices:
11
12
13
14
Answer: A
Question: How many litres of pure acid are there in 8 litres of a 20% solution
Choices:
1.6
1.7
1.8
1.9
Answer: A
Question: There are 300 seniors at Morse High School, and 50% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 20% of all the students at Morse have cars, how many students are in the three lower grades?
Choices:
900
1200
1350
1500
Answer: A
Question: A garrison of 2000 men has provisions for 60 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
1500
1979
1900
1278
Answer: A
Question: In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent Q of her bushes have only yellow roses?
Choices:
30
50
70
80
Answer: A
Question: The sum of three numbers is 245. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Choices:
30
38
48
75
Answer: D
Question: During the months May through October, Teddy the bear septuples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?
Choices:
49m - 1300
7m - 1300
7m - 1200
7m
Answer: A
Question: The area of a square is equal to four times the area of a rectangle of dimensions 25 cm * 16 cm. What is the perimeter of the square?
Choices:
100 cm
120 cm
140 cm
160 cm
Answer: D
Question: There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
277
786
791
380
Answer: D
Question: A library branch originally contained 18360 volumes, 30% of which were fiction novels. 1/3 of the volumes were transferred to another location and 1/2 of the volumes transferred were fiction novels. What percent of the remaining collection was fiction novels?
Choices:
20%
28.3%
45.2%
73.6%
Answer: A
Question: Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 35-ounce cans or 25-ounce cans of chili paste. If the restaurant must order 20 more of the smaller cans than the larger cans to fulfill its weekly needs, then how manysmallercans are required to fulfill its weekly needs?
Choices:
70
80
100
120
Answer: A
Question: Evaluate 30!/28!
Choices:
600
870
910
650
Answer: B
Question: Last year the price per share of Stock Y increased by s percent and the earnings per share of Stock Y increased by t percent, where s is greater than t. By what percent did the ratio of price per share to earnings per share increase, in terms of s and t?
Choices:
[100(s – t)] / (100 + s) %
100*(s-t)/(100+t) %
(s – t) %
t/s %
Answer: B
Question: The blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from this group is selected at random, what is the probability that this person has O blood type?
Choices:
0.25
0.3
0.35
0.5
Answer: C
Question: How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A. 3.5 years
Choices:
4 years
5 years
3 years
1 years
Answer: A
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
116
119
Answer: B
Question: What is the present worth of Rs. 198 due in 2 years at 5% simple interest per annum?
Choices:
277
180
888
171
Answer: B
Question: At the store, Sam bought a shirt and a toaster. There was a 6% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
Choices:
0.94K – T
0.94(K – 1.06T)
(K – T)/1.06
(K/1.06) – T
Answer: D
Question: A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 20 Gallons of water and 40 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
Choices:
300
100
150
175
Answer: A
Question: Two partners (Pella and Leon) invested Rs.7000 and Rs.18000, respectively in a business. Pella runs the business while Leon is a sleeping partner in the business. Pella receives 6% of the profit for managing the business the rest is divided in proportion of their capitals. Out of a total profit of Rs.8500, how much did Pella receive?
Choices:
3019.84
2747.2
3059.84
3029.84
Answer: B
Question: X is an even number and Y is a positive odd number. Which of the following expressions cannot be even?
Choices:
X^3Y^3
X^3
XY
Y^2
Answer: D
Question: Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 20,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
Choices:
1.25 million
10 million
12.7 million
125 million
Answer: C
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8!
5
7
3
Answer: A
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
78
25
17
16
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Choices:
100 m
115 m
110 m
150 m
Answer: A
Question: Which of the following numbers completes
the sequence 3, 8, 14, 21, 29, 38, 48, 59___?
Choices:
36
37
71
89
Answer: C
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
16.66%
16.69%
16.98%
17%
Answer: A
Question: A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
Choices:
15 m, 11 m
15 m, 20 m
15 m, 10 m
15 m, 11 m
Answer: C
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
89 Kmph
72 Kmph
16 Kmph
18 Kmph
Answer: B
Question: Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
Choices:
100/3%
35%
44%
48%
Answer: C
Question: (17)4.25 x (17)? = 178
Choices:
2.75
4.25
3.75
None of these
Answer: C
Question: A number x is multiplied by 3, and this product is then divided by 7. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?
Choices:
3/7
5/3
3/5
9/25
Answer: A
Question: If m=m6−−√m=m6 , which of the following could be the value of m?
Choices:
6
36
63
64
Answer: C
Question: Four children — A, B, C, and D — are going to sit in four chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children?
Choices:
12
18
24
30
Answer: A
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 210, what is the least possible value of n?
Choices:
7
11
13
14
Answer: A
Question: If a farmer wants to plough a farm field on time, he must plough 120 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?
Choices:
720
885
645
287
Answer: A
Question: In one hour,a boat goes 8 km along the stream and 2 km against the stream.The speed of the boat in still water (in km/hr) is :
Choices:
5
8
9
10
Answer: A
Question: Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.1,80,000 earned at the end of 3 years from the start of the business in 1999 ?
Choices:
Rs.60,000
Rs.70,000
Rs.75,000
None of these
Answer: A
Question: A sock drawer contains 5 socks, each one a different solid color. The colors of the socks are yellow, green, blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choices:
10
21
36
42
Answer: A
Question: Find the area of circle whose radius is 7m?
Choices:
154
278
265
291
Answer: A
Question: The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 100 and n is not prime, what is the greatest possible value of f(n)?
Choices:
95
91
87
78
Answer: A
Question: how many positive integers less than 9999 are such that the product of their digits is 210.
Choices:
24
26
34
25
Answer: A
Question: The contents of a certain box consist of 24 apples and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be apples?
Choices:
26
30
46
50
Answer: A
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
Choices:
28
12
17
19
Answer: A
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
Rs.3929
Rs.3927
Rs.3900
Rs.3928
Answer: C
Question: The average of 35 students in a class is 18 years. The average age of 25 students is 20. What is the average age of remaining 10 students?
Choices:
16 years
15 years
14 years
13 years
Answer: D