antoine-444/aqua_rat_dataset huggingface dataset:
Question: A, B, and C working alone can finish constructing a house in 6, 9, and 18 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
Choices:
11:55 am
12:10 pm
12:25 pm
12:40 pm
Answer: D
Question: If k^3 = m^3, which of the following must be true?
Choices:
k = -m
k = |m|
k = -|m|
|k| = |m|
Answer: D
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Choices:
833
1023
839
1035
Answer: B
Question: 7122,6521,8332,4743,9911,387?
find the value of the question tag.
Choices:
2
3
4
5
Answer: C
Question: The average of 25 result is 18.The average of 1st 12 of them is 14 & that of last 12 is 17.Find the 13th result.
Choices:
80
78
60
87
Answer: B
Question: Evaluate: 13 + sqrt(- 4 + 5Ã—3Ã·3) =?
Choices:
13
14
15
16
Answer: B
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 120km/h, what is the circumference of the tire?
Choices:
1
4
3
5
Answer: D
Question: How many 5-digit positive integers exist the sum of whose digits are odd?
Choices:
38000
45000
90000
None
Answer: B
Question: In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Choices:
86
92
94
95
Answer: A
Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 3 hours and machine B produces k bottles in 5 hours. How many hours does it take machines A and B, working simultaneously, to produce 16k bottles?
Choices:
26
28
30
32
Answer: C
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
4/5
3/2
2/3
1/3
Answer: D
Question: A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by g meteres, What is the area of the rug in square meters?
Choices:
mn – 2p(m+n)
mn – p^2
(m - p)(n - p)
(m - 2p)(g - 2p)
Answer: D
Question: The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall?
Choices:
30.43
31.43
32.43
33.43
Answer: A
Question: The closest approximation of A(69.28 × 0.004)/0.03 is
Choices:
0.92
9.2
92
920
Answer: B
Question: 97 students take part in a test and the median score is 85. Which of the following descriptions must be correct?
I.At least 49 students’ score are less than 85.
II. At least 49 students’ score are equal to or more than 85
III. At most 49 students’ score are equal to or more than 85.
Choices:
II
III
III
IIII
Answer: A
Question: A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 9 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour?
Choices:
2:50 pm
3:07 pm
3:21 pm
3:30 pm
Answer: C
Question: Each factor of 200 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 40?
Choices:
1/6
1/8
3/16
1/4
Answer: A
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Choices:
62.5
63.75
70.0
77.5
Answer: C
Question: A certain country had a total annual expenditure of $1.2x10^12. If the population of the country was 240 million last year, what was the per capita expenditure?
Choices:
$1000
$2000
$3000
5000 dollar
Answer: D
Question: 5862 is to 714
and 3498 is to 1113
and 9516 is to 156
therefore 8257 is to ?
Choices:
157
274
123
234
Answer: A
Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $7.00?
Choices:
84
90
120
240
Answer: A
Question: The original price of a certain TV set is discounted by f percent, and the reduced price is then discounted by 2f percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
Choices:
P(1 - 0.03f + 0.0002f^2)
P(1 - 0.03x + 0.002x^2)
P(1 - 2x^2)
P(1 - 3x + 2x^2)
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
32
36
88
34
Answer: A
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 10:40 a.m., how long will the conference last if there are a total of 6 seminars that day?
Choices:
hours and 20 minutes
hours and 25 minutes
hours and 30 minutes
hours and 35 minutes
Answer: C
Question: If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+6) for all positive integers n, what is the third term of the sequence?
Choices:
10
6
8
9
Answer: A
Question: A certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 of 8 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
540
565
560
Answer: D
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
46
47
79.2
76
Answer: C
Question: A train is 360 meter long is running at a speed of 48 km/hour. In what time will it pass a bridge of 140
meter length.
Choices:
37.5 seconds
47.5 seconds
57.5 seconds
None of these
Answer: A
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
205
209
250
300
Answer: B
Question: In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?
Choices:
60800
55600
50400
45200
Answer: C
Question: An 11-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Choices:
5/8
3/10
5/11
6/11
Answer: D
Question: Krishna bought some wheat at Rs. 10 per kilogram. He buys 2 kg wheat from a ration shop at the rate of Rs. 8 per kilogram. He mixes the two and sells at Rs. 11 per kilogram. He makes 25% profit. What is the ratio of non-ration to ration wheat?
Choices:
1:5
5:1
2:5
None of the above
Answer: D
Question: 20 litres of water are poured into an aquarium of dimensions 50cm length, 20cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)
Choices:
8
10
20
40
Answer: C
Question: A cistern 8m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
62 m2
53.5 m2
55 m2
57 m2
Answer: A
Question: Arrange the words given below in a meaningful sequence.
1. Poverty 2. Population 3. Death 4. Unemployment 5. Disease
Choices:
2, 4, 1, 5, 7
2, 4, 1, 5, 3
2, 4, 1, 5, 9
2, 4, 7, 5, 3
Answer: B
Question: What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ?
Choices:
1436
1216
1386
1298
Answer: C
Question: A space shuttle orbits the earth at about 9 kilometers per second. This speed is equal to how many kilometers per hour?
Choices:
2,880
4,800
28,800
32,400
Answer: D
Question: The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
Choices:
42
44
55
77
Answer: A
Question: Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 3w widgets?
Choices:
6
18
10
12
Answer: B
Question: How many different possible arrangements X can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
Choices:
720
900
1800
5040
Answer: B
Question: Average age of 18 men is decreased by 1 year when one man whose age is 49 years is replaced by a new man. Find age of the new man
Choices:
31
88
29
22
Answer: A
Question: If a:b=2:5, b:c=3:7 and c:d=1:3 find a:b:c:d?
Choices:
6:15:35:115
6:15:35:105
6:15:35:125
None of these
Answer: B
Question: How many 5 digit number contain number 3 ?
Choices:
32512
33512
34512
37512
Answer: D
Question: Which of the following is equal to 1(1/7)%?
Choices:
0.12/100
1.14/100
12/100
12/10
Answer: B
Question: In a college of 525 students, each student takes at least 2 items from among idly, dosa, puri, and chapati for his breakfast. If 375 students take idly, 375 take dosa, 375 students take puri nad 375 students take chapati for their breakfast, the number of students who take all the four items is at most ?
Choices:
300
225
325
None of these
Answer: B
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 30 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
Choices:
50 lakh
48 lakh
60 lakh
None of these
Answer: B
Question: How many positive integers less than 5,000 are there in which the sum of the digits equals 5?
Choices:
62
63
61
56
Answer: D
Question: A man's speed with the current is 17.5 km / hr and the speed of the current is3.5 km / hr. The man's speed against the current is
Choices:
9 km / hr
10 km / hr
11.5 km / hr
None
Answer: C
Question: Four female friends & four male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with men & women alternating. How many possible arrangements may she chose?
Choices:
1680
1152
576
70
Answer: B
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: 95, 10, 75, 20, 55, ... What number should come next?
Choices:
40
30
25
90
Answer: B
Question: The average of first 35 prime numbers is?
Choices:
14.54
15.8
14.7
14.8
Answer: A
Question: Ben bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
Choices:
50QR/W.
25RQ/W.
25RW/Q.
RW/(4Q).
Answer: C
Question: calculate the profit loss percentage if a trader bought 7 balloons per rupee and sells the balloons at 6 per rupee.
Choices:
12.7 %
15.3 %
16.7 %
13.7 %
Answer: C
Question: The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
Choices:
30 days
87 days
16 days
17 days
Answer: A
Question: How much 60% of 50 is greater than 40% of 30?
Choices:
18
29
11
12
Answer: A
Question: A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If the median of these measurements is 2/3 times their arithmetic mean, what is the value of x?
Choices:
26
28
30
32
Answer: C
Question: A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and BLACK bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal
Choices:
32
33
54
64
Answer: B
Question: If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 5, then xy must be a multiple of which of the following?
I. 8
II. 12
III 18
Choices:
I and II only
I and III only
II and III only
I, II and III
Answer: D
Question: In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hrs., 18 min., 15 seconds of watch time. What is the time gained or lost by this watch in one day?
Choices:
13 min. 50 seconds lost
13 min. 20 seconds gained
14 min. 40 seconds gained
None of these
Answer: A
Question: Tough and Tricky questions: Absolute Values.
If |a| = 1/5 and |b| = 2/5, which of the following CANNOT be the result of a + b?
Choices:
-3/5
-1/5
2/3
1/5
Answer: C
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
Choices:
$34.31
$28.44
$67.54
$65.23
Answer: B
Question: A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
Choices:
55 days
44 days
60 days
33 days
Answer: C
Question: 3, 4, 6, 10, 18, (...)
Choices:
34
27
32
25
Answer: A
Question: A group consists of 6 men, 8 women and 6 children. In how many ways can 2 men , 2 women and 1 child selected from the given group?
Choices:
5020
2050
3050
5040
Answer: D
Question: What is the radius of the circum circle of the triangle whose sides are 5, 12 and 13 units respectively?
Choices:
12 units
6.5 units
6 units
7.5 units
Answer: B
Question: Find the odd man out. 3, 9, 12, 15, 18, 29
Choices:
29
1
3
19
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.25
6.75
7
7.25
Answer: A
Question: X does a work in 15 days. Y does the same work in 30 days. In how many days they together will do the same work?
Choices:
10
20
30
15
Answer: A
Question: Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 1/6 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 150 workers in the Palabras bookstore, how many of them have read both books?
Choices:
12
9
8
7
Answer: A
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/8
1/3
1/7
1/9
Answer: C
Question: A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
57
59.5
58
55.5
Answer: C
Question: A and B complete a work in 7 days. A alone can do it in 14 days. If both together can do the work in how many days?
Choices:
4.6 days
5.65 days
3.77 days
5.75 days
Answer: A
Question: If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 5.
Choices:
2
11
3
4
Answer: A
Question: The watch store down the street from Wendy's house has 2 leather watches, 1 gold watch, and 1 silver watch. How many watches does the store have in all?
Choices:
19
04
12
07
Answer: B
Question: A man bought a bike at 40% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
8%
6%
4%
10%
Answer: A
Question: Two isosceles Triangles have equal vertical angles and their areas are in the ratio 4:9. Find the ratio of their corresponding heights .
Choices:
5/4
3/2
5/7
2/3
Answer: D
Question: If the graph of y = f(x) is transformed into the graph of 2y - 6 = - 4 f(x - 3), point (a , b) on the graph of y = f(x) becomes point (A , B) on the graph of 2y - 6 = - 4 f(x - 3) where A and B are given by
Choices:
A = a - 3, B = b2
A = a + 3, B = -2 b
A = a + 3, B = -2 b +3
None
Answer: C
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1200 m long?
Choices:
240 Sec
167 Sec
197 Sec
179 Sec
Answer: A
Question: If x is a sum of all even integers on the interval 13...61 and y is their number, what is the GCD (x, y)?
Choices:
13
26
24
1014
Answer: C
Question: During a trip on an expressway, Jon drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
Choices:
50%
x/12%
60/x%
500/x%
Answer: D
Question: A case of candy usually lasts Tomi 42 days when she eats 6 every day. She is going out of the country in 2 weeks so she wants to eat this case in 14 days instead. How many should she eat per day?
Choices:
12
13
17
18
Answer: D
Question: Tickets numbered 1 to 10 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 2?
Choices:
2/5
1/2
2/3
1/4
Answer: B
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5?
Choices:
154
158
160
164
Answer: B
Question: A total of 22 men and 35 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
Choices:
31.5
32
32.5
33.1
Answer: D
Question: In the quadrilateral PQRS d=10 cm, h1=5 cm and
h2=2.5 cm. Find the area
Choices:
22
37.5
24
25
Answer: B
Question: If (c - a)/(c - b) =1, then (5b - 4a)/(c - a) =
Choices:
0.5
1.5
2
2.5
Answer: A
Question: If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/9, then the reciprocal of n must be
Choices:
Less than -3
Between -1/3 and 0
Between 0 and 1/3
Greater than 3
Answer: A
Question: What is 0.02 percent of 12,356?
Choices:
2.47
24.7
0.0247
0.00247
Answer: A
Question: What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
Choices:
551.25
534.33
543.33
646.33
Answer: A
Question: A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after 1year service. He served only for 9 months and receiveduniform and Rs.650, find the price of the uniform?
Choices:
Rs.100
Rs.130
Rs.170
Rs.190
Answer: A
Question: A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
Choices:
37 ½ days
31 days
20 days
24 days
Answer: A
Question: A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 3 buckles is how many times that of 5 buckles and 6 buttons?
Choices:
4/9
6/11
5/9
8/15
Answer: D
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
99
88
88
75
Answer: D
Question: In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.82 per kg?
Choices:
4:7
3:7
1:1
9:8
Answer: C
Question: A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 63 km downstream.
Choices:
3 hours
6 hours
7 hours
8 hours
Answer: A
Question: A sum of Rs.1460 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
Choices:
8B, 5G
4B, 9G
9B, 4G
9B, 5G
Answer: A
Question: (1/10)18 - (1/10)20 = ?
Choices:
99/10
0.9
0.8
None of the above
Answer: D
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
3:4
4:9
1.5
1:5
Answer: C
Question: A train covers a distance of 12 km in 10 min. If it takes 11 sec to pass a telegraph post, then the length of the train is?
Choices:
220
120
776
991
Answer: A
Question: On January 1, 2010, Dolly invests 30% of his retirement savings in Antarctic largecap stocks, 30% in Antarctic midcaps, and 40% in Antarctic smallcaps. In 2010, largecaps rise 10%, midcaps rise 20%, and smallcaps rise 15% in the Antarctic stock market; however, in 2011, largecaps fall 20% and midcaps fall 10%, while smallcaps rise x% in Antarctica. If, on January 1, 2012, Dolly has the same total amount of retirement savings as he did two years before, then x is between
Choices:
10 and 20
30 and 40
40 and 50
50 and 60
Answer: A
Question: One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Choices:
34%
22%
18%
8.5%
Answer: A
Question: If a positive odd integer N has p positive factors, how many positive factors will N have ?
Choices:
2p
P+1
2p+1
Cannot be determined
Answer: B
Question: A man sells two articles for Rs.3600 each and he gains 42% on the first and loses 42% on the next. Find his total gain or loss?
Choices:
400
4000
17.64%loss
8% LOSS
Answer: C
Question: January 1, 2008 is Thursday. What day of the week lies on Jan 1, 2009?
Choices:
Saturday
Thursday
Tuesday
Monday
Answer: A
Question: Robert spent $30 in buying raw materials, $105 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Choices:
A)$150
C)$250
D)$160
E)$200
Answer: A
Question: A and B started a business investing Rs. 60,000 and Rs 45,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choices:
4 : 3
18:20
1:4
18:4
Answer: A
Question: AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Choices:
3
7
9
Cannot be determined
Answer: C
Question: A certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 90 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Choices:
36 %
30 %
32 %
29 %
Answer: A
Question: On dividing 123 by a number, the quotient is 7 and the remainder is 4. Find the divisor.
Choices:
16
17
18
19
Answer: B
Question: A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 6 days. For how many number of days should A and C should work together to complete the remaining work ?
Choices:
1
3
4
5
Answer: A
Question: David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
Choices:
Rs.5000
Rs.6000
Rs.3000
Rs.4000
Answer: A
Question: What is the greatest value of n such that 4^n is a factor of 23! ?
Choices:
4
7
5
9
Answer: D
Question: In what ratio should a variety of rice costing $6 per kg be mixed with another variety of rice costing $8.75 per kg to obtain a mixture costing $7.50 per kg?
Choices:
5/6
5/9
4/8
3/8
Answer: A
Question: Pipe A can fill a tank in 6 hours, pipe B in 12 hours and pipe C in 36 hours. If all the pipes are open,in how many hours will the tank be filled ?
Choices:
3
3.3
3.5
3.6
Answer: D
Question: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. Time required by the first pipe to fill the tank is
Choices:
15 hours
10 hours
6 hours
7 hours
Answer: A
Question: The average of 10 numbers is calculated as 16. It is discovered later on that while calculating the average, the number 55 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?
Choices:
19
25
31
46
Answer: A
Question: The factorial expression 10!/5! is divisible by which of the following integers?
Choices:
5
21
11
19
Answer: A
Question: If from a group of 5 people, an old member is replaced by a new one, the average age is same as it was 3 years ago. What is the difference between the ages of the old member and the new one?
Choices:
15
11
18
16
Answer: A
Question: The ratio of the present ages of Sunitha and Vinitha is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their ages 12 years hence ?
Choices:
13:15
16:19
17:19
14: 16
Answer: B
Question: A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is
Choices:
124
144
200
220
Answer: A
Question: There are 600 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
Choices:
257
375
380
390
Answer: B
Question: If a person walks at 15 km/hr instead of 9 km/hr, he would have walked 20 km more. The time traveled by him is?
Choices:
9/5 hours
10/3 hours
6 hours
11/3 hours
Answer: B
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, C receives:
Choices:
s. 14,200
s. 4,400
s. 8,400
s. 4,800
Answer: C
Question: The value of ((x – y)³ + (y - z)³ + (z – x)³)/(21 (x – y) (y – z) (z – x))
is equal to :
Choices:
1/12
1/7
1/4
1/3
Answer: B
Question: A box contains 1 red balls and 5 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choices:
1/2
1/2
5/8
2/3
Answer: B
Question: How many different ways can a group of 8 people be divided into 4 teams of 2 people each?
Choices:
105
75
120
112
Answer: A
Question: As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 60%, what is the probability that Karen will be accepted to at least one project?
Choices:
19/25
37/50
98/125
117/125
Answer: D
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 22 years. What is Deepak present age?
Choices:
15
77
266
12
Answer: D
Question: An urn contains 4 white 6 black and 8 red balls .Three balls are drawn at random from the bag.the probability that all of them are white are????
Choices:
8/24
7/24
1/24
6/24
Answer: C
Question: If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number A of integers that can be negative?
Choices:
3
4
5
6
Answer: C
Question: In how many ways the letters of the word MAXICABE be arranged?
Choices:
20,320 ways.
30,320 ways.
40,320 ways.
42,320 ways.
Answer: C
Question: Bill has a small deck of 10 playing cards made up of only 2 suits of 5 cards each. Each of the 5 cards within a suit has a different value from 1 to 5; thus, there are 2 cards in the deck that have the same value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?
Choices:
9/16
11/18
13/21
16/25
Answer: C
Question: (935421 x 625) = ?
Choices:
583538125
583738125
584038125
584638125
Answer: D
Question: Six dots are evenly spaced on the circumference of a circle. How many combinations of three dots can we make from these 6 dots that do not form an equilateral triangle?
Choices:
18
16
15
14
Answer: A
Question: How many seconds will it take for a car that is traveling at a constant rate of 120 miles per hour to travel a distance of 77 yards?	(1 mile = 1,160 yards)
Choices:
1.31
1.58
1.87
2.3
Answer: A
Question: A team of 6 cooks is chosen from 7 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?
Choices:
320
560
455
840
Answer: C
Question: The average of 7 consecutive numbers is 20. The largest of these numbers is :
Choices:
20
23
21
92
Answer: B
Question: mixture contains alcohol and water in the ratio 4 : 3. If 7 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Choices:
99
5
22
29
Answer: B
Question: Aman can row 1km upstream in 20 min and back to his starting point in 12 min.How long would he take to row 1km in still water?.
Choices:
13 mins
14 mins
15 mins
16 mins
Answer: C
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 1600 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
150
160
170
180
Answer: B
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.361 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Choices:
19
20
22
24
Answer: A
Question: For the set {2, 2, 3, 3, 4, 4, x}, which of the following values of x will most increase the standard deviation?
Choices:
2
3
4
(2)^2
Answer: D
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Choices:
240
269
277
768
Answer: A
Question: A certain number of persons can finish a piece of work in 100 days. If there were 10 persons less, it would take 10 more days finish the work. How many persons were there originally?
Choices:
100
110
120
None of these
Answer: B
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 ?
Choices:
Rs. 10,500, Rs. 13,500, Rs. 16,500
Rs. 10,500, Rs. 13,500, Rs. 16,506
Rs. 10,500, Rs. 13,500, Rs. 16,5065
Rs. 10,500, Rs. 13,500, Rs. 16,5012
Answer: A
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Choices:
11
2
8
4
Answer: A
Question: If x^2 is divisible by 240 what is the least possible value of integer x?
Choices:
30
90
60
12
Answer: C
Question: Rs.1210 were divided among 3 person P, Q, R so that P:Q=5:4 and Q: R=9:10. Then R gets the amount.
Choices:
Rs. 400
Rs. 480
Rs. 490
Rs. 500
Answer: A
Question: If $10,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
10,000(x/100)^n
10,000n(x/100)
10,000(1+x/100)^n
10,000n(1+x/100)
Answer: B
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 3CD, DE = 8, AB = 5 and AC = 11, what is the length of AE?
Choices:
17
19
21
23
Answer: C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is D's share?
Choices:
$1200
$1500
$1800
$2000
Answer: B
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 54 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
30
35
40
60
Answer: D
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Choices:
4
9
Cannot be determined
None of these
Answer: A
Question: A number exceeds by 30 from its 3/8 part. Then the number is?
Choices:
B)35
C)39
D)40
E)48
Answer: D
Question: How many of the positive factors of 15 , 45 and how many common factors are there in numbers?
Choices:
2
3
4
5
Answer: B
Question: What number has a 5:1 ratio to the number 10?
Choices:
50
99
72
12
Answer: A
Question: The tax on a commodity is diminished by 27% and its consumption increased by 16%. The effect on revenue is?
Choices:
16
5
15
4
Answer: C
Question: Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7600 less if they could find two more equal investors. How much is the total investment in the new business.
Choices:
b)	$ 54,000
c)	$ 21,000
d)	$ 5,400
e)	$57,000
Answer: D
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons
Choices:
B)170
C)210
D)190
E)230
Answer: B
Question: The Chennai Express of 200 m runs at a speed of 62 km/hr and a person runs on the platform at a speed of 20 km/hr in the direction opposite to that of train. Find the time taken by the train to cross the running person?
Choices:
8.77 sec
12.77 sec
13.00 sec
None of these
Answer: A
Question: In a 1500 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Choices:
50 sec
75 sec
Data not sufficient
None of these
Answer: B
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Choices:
1/48
1/98
1/96
1/68
Answer: B
Question: The G.C.D. of 1.08, 0.36 and 0.63 is?
Choices:
0.09
0.18
0.108
none of these
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 $15,000 and the marginal cost is $200, and the total cost is $25,000, what is the value of n?
Choices:
50
60
80
100
Answer: A
Question: A person travelled from his house to office at 20km/hr and office to house at 80km/hr. Then find the average speed?
Choices:
32km/hr
48km/hr
50km/hr
62km/hr
Answer: A
Question: The total number of plums that grew during each year on a certain plum tree was equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded to the nearest lower integer.) During its 3rd year, this plum tree grew 50 plums. How many plums did it grow during its 6th year?
Choices:
b) 38
c) 35
d) 29
e) 28
Answer: B
Question: Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 4 hours, how many minutes did it take Cole to drive to work?
Choices:
70
95
112
140
Answer: D
Question: Find the average of the series : 312, 162, 132, 142 and 122?
Choices:
308
267
207
174
Answer: D
Question: How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/6!?
Choices:
2
5
6
9
Answer: A
Question: If a triangle in the xy-coordinate system has vertices at (-2 , -3), (4, -3) and (28, 7), what is the area of the triangle?
Choices:
30
48
60
65
Answer: A
Question: 8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 14th and the 20th terms?
Choices:
335
346
357
368
Answer: D
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 1500. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
78%
40%
76%
None of these
Answer: A
Question: A six-sided die is rolled once. What is the probability that the number rolled is an odd number greater than 4?
Choices:
1 / 6
3 / 3
4 / 5
2 / 4
Answer: A
Question: Midway through his round a golfer hits a magnificent 210 yard drive, which brings his average length per drive for the round up to now from 156 to 162 yards. How far would he have had to hit the drive to bring his average length of drive up from 156 to 165 yards?
Choices:
239 yards
189 yards
245 yards
237 yards
Answer: D
Question: A car takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
30 Kmph
65 Kmph
70 Kmph
None
Answer: A
Question: 108.	Triangle A’s base is 8% greater than the base of triangle B, and A’s height is 8% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
Choices:
1 % less
Equal to each other
1.6 % more
9 % more
Answer: C
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 2 different boat to go and 8 flight to return. In how many ways, can the boy perform his journey?
Choices:
16
45
18
70
Answer: A
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
10.00 a.m.
12.00 a.m.
18.00 a.m.
19.00 a.m.
Answer: A
Question: P and Q invested in a business. The profit earned was divided in the ratio 3 : 4. If P invested Rs 50000, the amount invested by Q is
Choices:
66666
40000
20000
60000
Answer: A
Question: Joe bought a lawnmower for a 40% off the original price. If the lawnmower cost him $132.48, what is the original selling price of the lawnmower?
Choices:
$331.20
$211.97
$220.80
None of these.
Answer: C
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10 kmph
19 kmph
17 kmph
29 kmph
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
54 Kmph
72 Kmph
34 Kmph
91 Kmph
Answer: B
Question: If 4 men working 10 hours a day earn Rs. 1200 per week, then 9 men working 6 hours a day will earn how much per week?
Choices:
Rs 1320
Rs 1620
Rs 1680
None of these
Answer: B
Question: Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter she prepared an envelope with its correct address. If the 4 letters are to be put in 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1/3
3/8
Answer: C
Question: If x = 1- 4t and y = 2t - 2, then for what value of t does x = y?
Choices:
1/2
2/3
2/5
0
Answer: A
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Choices:
50%
60%
70%
80%
Answer: A
Question: The cost price of 20 articles is equal to the selling price of 25 articles. The loss percent in the transaction is
Choices:
20
25
30
None of these
Answer: B
Question: 2664 ÷ 12 ÷ 6 = ?
Choices:
41
37
33
21
Answer: B
Question: Point (g,h) is on the circle represented by g^2+h^2=10, and g, h are integers. How many such points are possible?
Choices:
2
4
6
8
Answer: D
Question: If Janice was 22 years old z years ago and Lisa will be 20 years old in p years, what was the average (arithmetic mean) of their ages 8 years ago?
Choices:
(z - p + 26)/4
(z - p + 16)/4
(z + p + 36)/2
(z - p + 26)/2
Answer: D
Question: How many integers are divisible by 2 between 10! and 10! + 20 inclusive?
Choices:
7
21
9
10
Answer: B
Question: Y and F represent two distinct digits. If the number 45Y89F is divisible by 36, what is the value of (Y+F)?
Choices:
b) 3
c) 12
d) 6
e) 10
Answer: A
Question: If x and y are even integers, which of the following is an odd integer?
Choices:
xy
xy+2
x^2+y^2
None of these
Answer: D
Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Choices:
4500 M3
3000 M3
2700 M3
3700 M3
Answer: A
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the 2nd?
Choices:
1245
1349
1368
1578
Answer: B
Question: An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 72 percent of the votes cast?
Choices:
58%
30%
34%
25%
Answer: B
Question: A financier claims to be lending money at simple interest, But he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes
Choices:
10.25%
9.25%
9%
None of these
Answer: A
Question: The cash realised on selling a 14% stock is Rs.104.25, brokerage being 1/4% is
Choices:
106
100
156
104
Answer: D
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
77 kmph
14 kmph
17 kmph
18 kmph
Answer: B
Question: A and B started a business investing Rs. 36,000 and Rs. 12,000 respectively. In what ratio the profit earned after 3 years be divided between A and B respectively?
Choices:
1:2
2:1
3:1
None of these
Answer: C
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Choices:
Monday
Sunday
Wednesday
SWW
Answer: B
Question: when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 14
Choices:
3
4
5
2
Answer: A
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. xy^2 is positive integer III. (y^2 - x) is positive integer
Choices:
I only
II only
III only
none of these
Answer: C
Question: Simplify: 5005-5000+10
Choices:
4505
4501
4508
None of them
Answer: A
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
3
6
8
9
Answer: B
Question: If $11,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Choices:
compounding daily
compounding monthly
compounding quarterly
All four of these would produce the same total
Answer: A
Question: Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 11/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Choices:
11/21
7/15
17/35
1/2
Answer: A
Question: A batsman makes a score of 84 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
Choices:
29
36
49
59
Answer: B
Question: If Finn was 19 months old one year ago, how old was he, in months, x months ago?
Choices:
x − 12
18 − x
24 − x
31 − x
Answer: D
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $5 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 percent, what is the discount rate on Pony jeans?
Choices:
10%
34.4%
12%
15%
Answer: B
Question: A cycle is bought for Rs.1000 and sold for Rs.2000, find the gain percent?
Choices:
20
100
77
12
Answer: B
Question: If abc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1
Choices:
None
II only
I and III
II and III
Answer: A
Question: The age of man is three times the sum of the ages of his two sons. Seven years hence,his age will be double of the sum of the ages of his sons.The fatherâ€™s present age is :
Choices:
45 years
50 years
55 years
63 years
Answer: D
Question: Jane and Ashley take 13 1/3 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?
Choices:
15 Days
16 Days
17 Days
20 Days
Answer: C
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:11. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
17
13
11
12
Answer: C
Question: What is the smallest positive integer x, such that 5000x is a perfect cube?
Choices:
6
8
25
18
Answer: C
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/9
5/7
5/2
5/3
Answer: A
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11
18 2/14
18 2/16
18 2/12
Answer: A
Question: Which of the following is closer to (5!+4!)-(5!-4!)?
Choices:
48
240
420
52
Answer: A
Question: The total number of digits used in numbering the pages of a book having 346 pages is
Choices:
990
1098
930
1405
Answer: C
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @Rs.26.50 per metre is Rs.5300, what is the length of the plot in metres?
Choices:
60
65
70
75
Answer: A
Question: A rich merchant had collected many gold coins. He did not want anybody to know about him. One day, his wife asked, " How many gold coins do we have?" After a brief pause, he replied, "Well! if I divide the coins into two unequal numbers, then 48 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins the merchant has?
Choices:
53
43
None of these
Cannot be determined
Answer: C
Question: How many days are there in x weeks x days
Choices:
8x
7x^2
7
6
Answer: A
Question: How many two-element subsets of {6,7,8,9} are there that do not contain the pair of elements 8 and 9?
Choices:
5
3
6
7
Answer: A
Question: A fast food restaurant sells chicken in orders of 6, 9, and 20.
What is the largest number of pieces of chicken you cannot order from this restaurant?
Choices:
B)33
C)43
D)53
E)63
Answer: B
Question: The positive integer b is divisible by 5.
What is the remainder when dividing 3(6+b)(5+b) by 5?
Choices:
0
2
3
4
Answer: A
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
250
276
188
112
Answer: A
Question: Two pipes A,B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.?
Choices:
7
8
9
5
Answer: B
Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Choices:
5% decrease
9% decrease
8% decrease
6% decrease
Answer: B
Question: The ratio of three numbers is 1:2:4 and the sum of their squares is 4725. The sum of the numbers is?
Choices:
B)12
C)15
D)14
E)9
Answer: B
Question: Which number is the odd one out?
9654 4832 5945 7642 7963 8216 3649
Choices:
2223
2292
3928
3649
Answer: D
Question: One fourth of a solution that was 10% sugar by weight was replaced with by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Choices:
34%
22%
18%
8.5%
Answer: A