antoine-444/aqua_rat_dataset huggingface dataset:
Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 80% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Choices:
1.4 lakh
1.9 lakh
8.1 lakh
6.1 lakh
Answer: A
Question: The Reserve Bank of India will transfer its surplus profit of 65,896 crore rupees to the Centre. This amount is ___ percent higher than previous year.
Choices:
25%
35%
28%
65%
Answer: A
Question: S1 = 2
S2 = 5
...
Sn = 3n + 4
For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50?
Choices:
12
14
11
16
Answer: D
Question: If w>0, which of the following must be true?
Choices:
0 <w < 2
-1 < w < 1
-10 < w
1/100 < w
Answer: C
Question: A and B go around a circular track of length 300 m on a cycle at speeds of 18 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
198 sec
60 sec
665 sec
276 sec
Answer: B
Question: How is 1% expressed as a decimal fraction?
Choices:
0.001
0.01
0.0001
1
Answer: B
Question: The average age of three boys is 40 years and their ages are in proportion 6:10:8. What is the age in years of the youngest boy?
Choices:
10
7
6
5
Answer: A
Question: In a company, 48 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?
Choices:
85%
75%
70%
65%
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50 km/hr
76 km/hr
55 km/hr
51 km/hr
Answer: A
Question: 4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8.
What is half of that number?
Choices:
315
314
318
319
Answer: A
Question: A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $168, how many hours overtime did he work?
Choices:
8
9
6
10
Answer: A
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
Choices:
16hr 20min
2hr 48min
15hr
14hr 25min
Answer: B
Question: A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 500 more than that by the previous schema, his sales were worth?
Choices:
s. 12,000
s.16,000
s. 40,000
s. 50,000
Answer: B
Question: A ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches. How much fraction of the ring x surface is not covered by the ring y?
Choices:
12/4
16/17
22/16
17/81
Answer: D
Question: On dividing 21 by a number, the quotient is 10 and the remainder is 1. Find the divisor.
Choices:
2
4
6
7
Answer: A
Question: Soniya deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
9680
9745
9623
9324
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
Rs.1000
Rs.1028
Rs.1007
Rs.1297
Answer: A
Question: 6 college friends go on vacation together during spring break. Their rental house costs $1250. If each friend pays the same amount and no one has bills smaller than $1, how much money do they pay for the rental?
Choices:
$1251
$1252
$1253
$1254
Answer: D
Question: 30% of all fishermen in Piscataquis County are also hunters while only 20% of all hunters are fishermen. If there are 1500 hunters in Piscataquis County then how many fishermen are there?
Choices:
1000
1200
1500
1800
Answer: A
Question: There are two concentric circles with radii 5 and 4. If the radius of the outer circle is increased by 20% and the radius of the inner circle decreased by 50%, by what percent does the area between the circles increase?
Choices:
156
256
356
456
Answer: B
Question: The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 1. If p is any prime number then f(p)
Choices:
p-2
(p+1)/2
(p-1)/2
2
Answer: A
Question: 12, 38, 116, 350, 1052, ?
Choices:
3158
2178
4121
9186
Answer: A
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
Rs.2
Rs.5
Rs.3
Rs.4
Answer: A
Question: John invests $x at the semi-annual constant compounded rate of 2 percent and also does $8,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
Choices:
12000
16160.8
14000
15000
Answer: B
Question: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even?
Choices:
720
6480
2160
520
Answer: A
Question: If 8 is added to twice a number and this sum is multiplied by 4, the result is the same as if the number is multiplied by 4 and 8 is added to the product. What is the number?
Choices:
-6
-9
10
11
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
Rs. 690
Rs. 698
Rs. 700
Rs. 712
Answer: B
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Irin bake?
Choices:
1.25%
55.4%
125%
0.152%
Answer: B
Question: According to a survey, at least 48% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Choices:
3%
8%
15%
18%
Answer: A
Question: If x + 4y = 5 and 5x + 6y = 7, then 3x + 5y = ?
Choices:
6
4
3
2
Answer: A
Question: At what rate of interest is an amount doubled in two years, when compounded annually?
Choices:
41.4%
31.4%
30%
21.4%
Answer: A
Question: Which of the following is greatest?
Choices:
6/3
7/3
8/3
10/3
Answer: D
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Choices:
744
299
257
125
Answer: A
Question: If b is greater than 1 , which of the following must be negative?
Choices:
(b - 1)/3b
(1 - b)^2
(2 - b)/(1 - b)
(1 - b^2)/b
Answer: D
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
Choices:
1/7
2/7
6/7
5/7
Answer: A
Question: Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 3 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?
Choices:
4y
5y
6y
25/3y
Answer: D
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 8 kmph, then the speed of the boat in still water is :
Choices:
4.2 km/hr
5 km/hr
10.5 km/hr
None of these
Answer: B
Question: A man bought 10 crates of mangoes for $160 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 25 percent of the total cost?
Choices:
$25
$45
$50
$55
Answer: A
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 8 days more?
Choices:
1140
1199
1188
1166
Answer: A
Question: By weight, liquid X makes up 0.5 percent of solution P and 1.5 percent of solution Q. If 200 grams of solution P are mixed with 800 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution?
Choices:
1.3%
1.1%
1.0%
0.9%
Answer: A
Question: In a triangle XYZ, XZ is the longest side, length of which is 1 unit more than YZ, which again has length 1 unit more than XY. If area of the triangle is 10 and the shortest side is 3. What are the lengths of the three sides?
Choices:
3, 4, 5
4, 5, 6
7, 8, 9
5, 2, 4
Answer: A
Question: How many Z ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
Choices:
16
28
32
56
Answer: C
Question: The average of 25 results is 50. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
Choices:
752
878
785
458
Answer: B
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is ?
Choices:
36.5
26.5
16.5
86.5
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
33/29
33/18
33/12
Answer: A
Question: If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Choices:
90 days
85 days
99 days
79 days
Answer: C
Question: At 15:00 there were 21 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
Choices:
14
25
27
30
Answer: C
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
Rs.3000
Rs.3200
Rs.2160
Rs.2000
Answer: A
Question: There are 3 numbers x,y,z.the mean is m.median is 5.m is 10 more than the smallest number and 15 less than the biggest number.what is x+y+z?
Choices:
30
35
40
45
Answer: A
Question: whats the next no..
3,7,13,19....
Choices:
28
29
30
31
Answer: B
Question: Nine children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
Choices:
480
540
720
840
Answer: D
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
287m
279m
100m
277m
Answer: C
Question: If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
Choices:
3
5
6
7
Answer: A
Question: The down stream speed of a boat is 50km/hr and its up stream speed is 10km/hr, then find the speed of boat in still water?
Choices:
30km/hr
45km/hr
50km/hr
25km/hr
Answer: A
Question: A report has 20 sheets each of 55 lines and each line consists of 65 characters. If this report is to be retyped with each sheet having 65 lines and each line of 75 characters what will be the reduction percent in the pages ?
Choices:
35%
25%
15%
45%
Answer: B
Question: Which of the following is equal to 1(3/5)%?
Choices:
0.12/100
1.6/100
12/100
12/10
Answer: B
Question: Which of these expressions has the greatest value?
Choices:
1654321/1654326
1668421/1668424
1532156/1532159
1653782/1623787
Answer: D
Question: At the time of marriage, a man was 6 years elder to his wife. 12 years after their marriage, his age is 6/5 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
Choices:
30 years
18 years
24 years
26 years
Answer: B
Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
56
88
66
21
Answer: A
Question: Of all the homes on Gotham Street, 1/3 are termite-ridden, and 4/7 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Choices:
1/4
1/5
1/6
1/7
Answer: D
Question: By using the numbers 1, 2, 3, 5 and 7 only once, how many five digit numbers can be made that are divisible by 50?
Choices:
4
11
Not possible
8
Answer: C
Question: Fred has 200 animals. If 6% are chickens, how many of the animals are not chickens?
Choices:
24
198
188
156
Answer: C
Question: the sum of two numbers is 15 and their geometric mean is 20% lower than arithmetic mean . find the numbers .
Choices:
12,3
9,6
3,2
2,1
Answer: A
Question: Last week John spent 10 percent of his wages on recreation. This week, his wages are 10 percent less than last weekʼs wages and he spent 40 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week
Choices:
360%
200%
220%
250%
Answer: A
Question: If you are given $2, and the amount doubles every day, how much money will you have after 8 days?
Choices:
$256
$1024
$2048
$4096
Answer: A
Question: There are 40 balls which are red, blue or green. If 15 balls are green and the sum of red balls and green balls is less than 25, at most how many red balls are there?
Choices:
5
6
7
9
Answer: D
Question: Find the simple interest on Rs 8000 at 16% per annum for the period from 18th May 2014 to 8th April 2014
Choices:
Rs. 128.8
Rs. 148.8
Rs. 278.8
Rs. 178.8
Answer: D
Question: 19 5 17 = x
65 8 10 = y
What will be the value of x + y?
Choices:
129
69
169
179
Answer: A
Question: How long will it take a certain amount to increase by 30% at the rate of 15% simple interest?
Choices:
30
40
50
60
Answer: A
Question: The value of x + x(xx) when x = 2 is:
Choices:
10
16
64
36
Answer: A
Question: __2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 4, what is the value of C?
Choices:
5
4
3
2
Answer: B
Question: Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
Choices:
25%
44%
56%
125%
Answer: A
Question: The ratio of the volumes of two cubes is 343 : 512. What is the ratio of their total surface areas?
Choices:
8:12
36:41
81:19
1:11
Answer: B
Question: Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
Choices:
A)24
C)26
D)27
E)28
Answer: A
Question: The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 60 instead of 10 then find the correct average marks?
Choices:
B)82
C)95
D)91
E)85
Answer: B
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
87
350
88
277
Answer: B
Question: A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
9 sec
12 sec
18 sec
15 sec
Answer: D
Question: How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated?
Choices:
192
140
242
None of these
Answer: A
Question: x = 13.165
y = 7.496
z = 11.575
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
Choices:
0.02
0.03
0.1
0.2
Answer: B
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
65
787
89
Answer: A
Question: Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?
Choices:
71
48
26
12
Answer: B
Question: The average age of boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
Choices:
15.5 years
16 years
17 years
Cannot be computed
Answer: D
Question: If 2x + 3y = 48; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
Choices:
32
26
28
None of these
Answer: C
Question: The present population of a town is 2100. Population increase rate is 5% p.a. Find the population of town before 1 years?
Choices:
1600
2000
2100
2500
Answer: B
Question: A circular ground whose diameter is 35 metres, has a 1.4 metre-broad garden around inside of it. What is the area of the garden in square metres?
Choices:
484.12
401.84
301.0
301.84
Answer: D
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length Q of a cube whose surface area is equal to 6z?
Choices:
Q=8√2
Q=8
Q=2√2
(√2)/3
Answer: C
Question: Primary batteries, unlike secondary batteries, may be:
Choices:
7
6
8
9
Answer: A
Question: A contractor hires 100 men to finish a job in 50 days. After 8 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
Choices:
21
16
12
8
Answer: A
Question: A man drives his car and starts with the speed of 25 kmph with its speed increasing every hour by 5 kmph. In how many hours would it take him to drive 100 kms?
Choices:
3 1â„2 hours
3 hours 15 minutes
Cannot be determined
None of these
Answer: B
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
92
30
32
23
Answer: B
Question: The population of a bacteria culture doubles every 3 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
Choices:
27
14
16
18
Answer: A
Question: (0.76)(power 3) - (0.1)(power 3)/ (0.76)(power 2) + 0.076 + (0.1)(power 2) is:
Choices:
0.66
0.96
0.69
0.76
Answer: A
Question: If 3^p - 3^(p-1) = 162 then p(p-1) =
Choices:
16
20
30
81
Answer: B
Question: total dinning bill of 7 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .
Choices:
21.84
23.84
24.84
25.84
Answer: A
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
10
15
11
16
Answer: A
Question: If the areas of the three adjacent faces of a cuboidal box are 120 cm², 72 cm² and 60 cm² respectively, then find the volume of the box.
Choices:
400 m³
660 m³
720 cm m³
None
Answer: C
Question: Two stations P and Q are 65 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:
9 am
10.30 am
12.30 am
11 am
Answer: A
Question: A bag contains 9 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Choices:
2/9
3/11
3/55
2/3
Answer: C
Question: Find the missing number:
3 6 18 ? 7 8
Choices:
36
37
38
39
Answer: A
Question: Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 70th number in this set?
Choices:
557
613
616
621
Answer: A
Question: What is the least value of x, So that 2x5476 is divisible by 9
Choices:
8
9
3
2
Answer: C
Question: A rectangle having length 120 cm and width 50 cm. If the length of the rectangle is increased by ten percent then how much percent the breadth should be decreased so as to maintain the same area.
Choices:
33.33%
40%
7.69%
None of these
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 65% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
B)12%
C)14%
D)20%
E)32%
Answer: D
Question: A 260 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
240m
250m
260m
270m
Answer: A
Question: A man travels equal distances with speed of 3 km/hr, 4 km/hr and 5 km/hr and takes a total of 47 minutes. Find the distance amount?
Choices:
4
5
1
3
Answer: D
Question: The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
85 cm2
50 cm2
45 cm2
35 cm2
Answer: B
Question: If the HCF of two numbers is 2 and their LCM is 70, then the numbers are:
Choices:
6, 70
4, 70
14, 10
15, 20
Answer: C
Question: What will be the compound interest on a sum of Rs. 29,000 after 3 years at the rate of 12% p.a.?
Choices:
s.11742.91
s.11123.20
s.10123.28
s.10123.21
Answer: A
Question: Special codes are designated by either a 7-letter or an 8-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system?
Choices:
26(26)^7
27(26)^7
26(26)^8
27(26)^8
Answer: B
Question: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
Choices:
771
440
767
1981
Answer: B
Question: The sum of the even numbers between 1 and n is 89*90, where n is an odd number, then n=?
Choices:
173
179
185
193
Answer: B
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:
27
32
80
12
Answer: B
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of D feet in 100 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
100y - x
100x/y
100y/x
100x - y
Answer: B
Question: How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ?
Choices:
12.1 sec
11 sec
13 sec
13.2 sec
Answer: A
Question: What is the maximum number of pieces of birthday cake of size 4” by 4” that can be cut from a cake 20” by 20”?
Choices:
10
16
20
25
Answer: D
Question: How many ways are there to split a group of 4 girls into two groups of 2 girls each? (The order of the groups does not matter)
Choices:
6
5
4
3
Answer: D
Question: Find the total number of prime factors in the expression (4)^11 x (7)^5 x (11)^2
Choices:
22
25
27
29
Answer: D
Question: A certain restaurant offers 8 different curry, 5 different main courses, 6 different ice creams. If customers choose one salad, one main course and two different ice creams for their meal, how many different meals are possible?
Choices:
240
480
500
600
Answer: D
Question: In a certain corporation, there are 300 male employees and 150 female employees. It is known that 40% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Choices:
2/3
3/5
7/10
11/15
Answer: B
Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
55
60
79
80
Answer: A
Question: A began business with 12000 and is joined afterwards by B with 72000. When did B join, if the profits at the end of the year are divided equally?
Choices:
9 months
10 months
7 months
None of these
Answer: B
Question: A person incurs loss for by selling a watch for Rs1140.at what price should the watch be sold to earn a 5% profit ?
Choices:
1260
1301
1340
1400
Answer: A
Question: The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?
Choices:
200%
300%
600%
None of these
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
130
Answer: B
Question: In how many ways can a team 16 be chosen out of a batch of 20 players?
Choices:
4845
3125
5846
7846
Answer: A
Question: Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in meterr?
Choices:
60 m
65 m
70 m
80 m
Answer: A
Question: Two trains run in opposite directions on a circular track. Train Q travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?
Choices:
6
9
18
22
Answer: A
Question: Complete the numerical series by replacing the question mark with the correct numbers.
5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
9+5+5 = ??????
Choices:
454585
454586
454587
None
Answer: A
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
Choices:
5/9
5/8
5/6
5/2
Answer: A
Question: If 12 machine can finish a job in 40 days, then how many more machines would be needed to finish the job in one -fourth less time?
Choices:
a. 4
c. 10
d. 12
e. 16
Answer: A
Question: If E is an integer greater than 6, which of the following must be divisible by 3?
Choices:
E(E+1)(E-4)
N(N+3)(N-5)
N(N+4)(N-2)
N(N+5)(N-6)
Answer: A
Question: The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
178 m
235 m
187 m
176 m
Answer: B
Question: For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 45 true?
Choices:
3
5
7
9
Answer: A
Question: Miguel is 50 years old. He is 5 years older than thrice his son’s age. Find the age of his son.
Choices:
12years
13years
14years
15years
Answer: D
Question: A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth.The percentage of decrease in area is :
Choices:
14%
18%
20%
28%
Answer: D
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
1230
2000
5600
3400
Answer: B
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/21
5/26
3/41
1/115
Answer: B
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is B’s salary?
Choices:
500
789
776
881
Answer: A
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 450 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Choices:
2
8/5
5/8
5/3
Answer: A
Question: What is x if x + 2y = 10 and y = 3?
Choices:
8
6
4
2
Answer: C
Question: A factory has a fixed cost of $35,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Choices:
14,000
18,000
22,500
27,000
Answer: A
Question: A deer is standing 60 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 15 meters from the tunnel. If the deer ran in the opposite direction it would barely escape out the eastern entrance just as the train came out of the eastern entrance. How long is the tunnel in meters?
Choices:
135
145
155
165
Answer: A
Question: The triplicate ratio of 1:4 is?
Choices:
1:64
1:34
3:64
5:64
Answer: A
Question: Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
Choices:
100
177
268
266
Answer: A
Question: There are 3 questions in a question paper. If the questions have 4,3 and 2 solutions respectively, find the total number of solutions
Choices:
24
30
40
54
Answer: A
Question: ram draws a card randomly among card 1-23 and keep it back.then sam draws a card among those.what is the prob than sam has drawn a card greatr than ram?
Choices:
11/23
13/23
14/23
15/23
Answer: A
Question: Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?
Choices:
100/11 min past 8
100/11 min past 2
100/11 min past 1
100/11 min past 5
Answer: A
Question: A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
87
26
21
44
Answer: D
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Choices:
Rs.429
Rs.480
Rs.412
Rs.482
Answer: B
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
14
18
24
61
Answer: C
Question: If chemistry book page and math book page ratio is 6:5.A child tore 25 page from chemistry book and 15 page from Math book.Now,ratio becomes 1:1.so,tell the initial no. of pages of chemistry.
Choices:
60
70
80
40
Answer: A
Question: The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
Choices:
16
24
48
50
Answer: C
Question: By selling 20 pencils for a rupee a man loses 30%. How many for a rupee should he sell in order to gain 30%?
Choices:
10.75
14.5
16.5
11.4
Answer: A
Question: On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 2 out of 5 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.
Choices:
4/75
7/75
3/5
4/5
Answer: A
Question: A car manufacturer sold 500 mini vans at $10000 each, 200 hatchbacks at $8000 each, and 220 sports utility vehicles at $18000 each. what percentage of the company's revenue is from the sale of sports utility vehicles?
Choices:
50.4%
37.5%
29.7%
39.5%
Answer: B
Question: A number x is 6 times another number y. The percentage that y is less than x is
Choices:
83.3%
80.5%
81%
1%
Answer: A
Question: Rahul and Sham together can complete a task in 35 days, but Rahul alone can complete same work in 60 days. Calculate in how many days Sham can complete this work ?
Choices:
84 days
76 days
68 days
60 days
Answer: A
Question: 7 teams compete in a track competition. If there are 12 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
Choices:
4
5
6
7
Answer: A
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
20 days
30 days
60 days
40 days
Answer: B
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
90
64
92
98
Answer: B
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 16 sec. What is the length of the platform?
Choices:
431.25 m
267 m
287.25 m
656 m
Answer: A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1
3
4
5
Answer: A
Question: Ritesh and Co. generated revenue of Rs. 1,250 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
Choices:
20%
25%
50%
None of these
Answer: B
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 51 kmph, find the speed of the stream?
Choices:
17
14
18
16
Answer: A
Question: If a, b, and c are integer and ab + c is odd, which of the must be true?
I. a + c is odd
II. b + c is odd
III. abc is even
Choices:
II only
III only
I and III only
II and III only
Answer: B
Question: A number is missing from the number series below.
Can you find it ?
84, 155, 258, 399 ,?, 819.
Choices:
350
399
584
449
Answer: C
Question: What is the lowest positive integer that is divisible by 8 through 11, inclusive?
Choices:
7811
6555
9200
7920
Answer: D
Question: The sum of two numbers is 24 and their product is 148. Find the sum of the squares of that numbers.
Choices:
280
230
290
250
Answer: A
Question: If 36 men can do a piece of work in 5 hours, in how many hours will15 men do it?
Choices:
12
60
88
72
Answer: A
Question: In the formula X = 1/(2y+1)^2, if y is halved, then X is multiplied by
Choices:
25/9
1/9
1/25
9
Answer: A
Question: If y ¤ d = y^(2d) for all positive integers, then (3 ¤ 4) ¤ 2 =
Choices:
3^12
3^16
3^24
3^32
Answer: D
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 78 km downstream?
Choices:
3 hours
31/13 hours
30/13 hours
30/14 hours
Answer: A
Question: A person borrows Rs. 5000 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:
100 rs
160 rs
180 rs
200 rs
Answer: A
Question: Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 35% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?
Choices:
$17,820
$16,335
$19,800
$21,780
Answer: B
Question: If -1 < a < 0, which of the following must be true? I. a^9 < a^4 II. a^3 < 1 – a III. a^6 < a^3
Choices:
III only
I,II,III only
II only
I,III only
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
17 km/hr
76 km/hr
50 km/hr
15 km/hr
Answer: C
Question: In a class of 50 students, 20 play Baseball, 15 play Cricket and 11 play Football. 7 play both Baseball and Cricket, 4 play Cricket and Football and 5 play Baseball and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Choices:
10
67
68
446
Answer: A
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the eldest boy?
Choices:
9
16
4
21
Answer: D
Question: A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number age of the family now is:
Choices:
17
76
85
86
Answer: C
Question: The salary of a person was reduced by 10%. By what percent should his
reduced salary be raised so as to bring it at par with his original salary?
Choices:
100/9
110
98
100/11
Answer: A
Question: the hiker walking at a constant rate of 5 miles per hour is passed by a cyclist traveling in the same direction along the same path at 20 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
Choices:
15
20
30
35
Answer: A
Question: An insect leaps 60 centimeters in 1.5 seconds. What is its speed?
Choices:
0.9 meters per second
4 meters per second
0.4 meters per second
4.4 centimeters per second
Answer: C
Question: (1^2+2^2+3^2+.....+10^2)=?
Choices:
345
365
385
None of them
Answer: C
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $5.00 per hour and a standard tip rate of 25% of the cost of the orders she serves. If she worked four 9-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choices:
300
540
350
400
Answer: B
Question: The result when a number subtracted from 100 is the same as the number added to 40. what is the number?
Choices:
70
80
140
60
Answer: A
Question: In how many different number of ways 4 boys and 2 girls can sit on a bench such that girls always sit together.
Choices:
B)240
C)740
D)780
E)790
Answer: A
Question: What is the units' digit of the following expression (10)^5*(12)^5*(18)^5?
Choices:
0
3
5
9
Answer: A
Question: The length of a rectangle is one- sixth of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1296 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
360 sq.units
260 sq.units
460 sq.units
160 sq.units
Answer: A
Question: Each child has 5 stickers and 8 candies. If there are 7 children, how many stickers are there in total?
Choices:
38
48
21
35
Answer: D
Question: If r and s are two different prime numbers, which of the following cannot be true?
Choices:
r + s is even.
r + s is odd.
rs is even.
r/s is an integer
Answer: D
Question: Dan read that an average snowfall of 10 inches yields 1 inch of water when melted. Very wet
snow will measure 5 inches for one inch of water, and very dry snow may measure 20 inches for an
inch of water. He made measurements for a storm that started with 5.3 inches of average snowfall.
The precipitation changed to wet snow and dropped another 4.1 inches. The weather continued to
warm up, and the storm finished with 1.5 inches of rain. What was the actual amount of water that fell
during the storm? Round your answer to tenths.
Choices:
2.9" of water
4.9" of water
7.9" of water
8.9" of water
Answer: A
Question: The diagonals of two squares are in the ratio of 2:5 then find the ratio of its areas?
Choices:
4:25
5:31
2:19
3:17
Answer: A
Question: 20 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Choices:
20
40
42
19
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 2 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
9:5
1:5
3:1
1:1
Answer: A
Question: If x is an integer and (x)(x^2)(x^3)(x^8) is positive, which of the following could be negative?
Choices:
(x)(x^3)
(x)(x)
x + x^9
3x^2
Answer: C
Question: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Choices:
900
1200
1800
None of these
Answer: B
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 50 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Choices:
200km
220km
180km
150km
Answer: D
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.3
7.8
7.2
7.1
Answer: C
Question: On a certain date, Pat invested $10,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $40,000, in how many years, the total value of the investment plus interest will increase to $320,000?
Choices:
30
18
20
24
Answer: A
Question: A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of A
Choices:
300
750
800
None of them
Answer: A
Question: What percent is 120 of 80?
Choices:
150 %
135 1/3 %
140 1/3 %
143 1/3 %
Answer: A
Question: Pomes can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
Choices:
1 hour and 30 minutes.
1 hour.
1 hour and 40 minutes.
2 hours and 15 minutes.
Answer: B
Question: Which of the following must be subtracted from 2^72 so that the resulting integer will be a multiple of 3?
Choices:
4
1
3
2
Answer: B
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3600. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Choices:
s. 450
s. 600
s. 800
s. 850
Answer: A
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 24 white marbles. How many red marbles could be in bag A?
Choices:
3
4
6
7
Answer: B
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain percentage.
Choices:
4
1
3
None of them
Answer: A
Question: How many different ways are possible to arrange the letters of the word “MACHINE” so that the vowels may occupy only the odd positions?
Choices:
125
348
576
None of these
Answer: C
Question: The distance between a book store and a coffee shop is approximately 5.3 x 10^4 inches. Which of the following is closest to the distance between the book store and a coffee shop, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
Choices:
1.4
1.9
2.5
2.9
Answer: A
Question: John's Ice Cream Shop sells ice cream at m cents a scoop. For an additional n cents, a customer can add 5 toppings to his or her sundae. How much would a sundae with 5 scoops and 5 toppings cost, in terms of m and n?
Choices:
5m+2n
4m+n
5m+n
6m+n
Answer: C
Question: A watch was sold at a loss of 10%. If the watch was sold for $32 more, there would have been a gain of 6%. What is the cost price?
Choices:
$200
$220
$240
$260
Answer: A
Question: An error 17% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
Choices:
36.89%
15.64%
26.64%
10.64%
Answer: A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $27. What is the cost of the carpet, in dollars per square yard? (1 square yard = 6 square feet)
Choices:
11xy/3
3xy/11
297/(xy)
162/(xy)
Answer: D
Question: The fourth proportional to 12, 14 and 6 is?
Choices:
6
7
8
9
Answer: B
Question: In the City ,there are 40% of the population lived in the North side at the Beginning of the Year and the rest lived in the South side. During the Same Year, the population grew by 6%. If the population in the North grew by 2%, by how much did the population grow in the South side?
Choices:
8.6%
9.2%
10.0%
8%
Answer: A
Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
Choices:
4306
4336
5336
4510
Answer: C
Question: Pipe P can drain the liquid from a tank in 4/4 the time that it takes pipe Q to drain it and in 2/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank?
Choices:
8/23
3/4
17/29
3/8
Answer: D
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 10%?
Choices:
229
277
285
261.25
Answer: D
Question: Among the employees of a certain company, 53 percent of the employees are male and 47 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?
Choices:
0.4
0.5
0.6
0.7
Answer: A
Question: (1/5)^r * (1/4)^18 = 1/(2(10)^35). What is r?
Choices:
18
34
35
36
Answer: C
Question: A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
Choices:
0.760D
0.765D
0.865D
4.765D
Answer: B
Question: What is the least number which should be added to 5432 so that the sum is exactly divisible by 5, 6, 4, and 3?
Choices:
22
28
34
40
Answer: B
Question: A , B , and C started a partnership business by investing $27,000 , $72,000 , and $81,000 respectively. At the end of the year , the profit was distributed among them. If C's share of profit is $27,000, what is the total profit?
Choices:
$90,000
$60,000
$120,000
$40,000
Answer: B
Question: What is the square root of 400, divided by 2?
Choices:
36
122
6
10
Answer: D
Question: A child buy 18 pencil and pay 100 rs. He pay 1 rs more for white pencil than brown pencil. How many white pencil He buy? and what is price of one white pencil
Choices:
5
6
7
8
Answer: B
Question: If 1/(b – 2) = 1/(b + 2) + 1/(b – 1), which of the following is a possible value of b?
Choices:
0
-1
-2
2
Answer: A
Question: A wheel that has 2 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
4
12
3
27
Answer: C
Question: From below option 27 is divisible by which one?
Choices:
B)8
C)9
D)10
E)911
Answer: B
Question: In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes T of the competition are possible?
Choices:
20
54
84
120
Answer: C
Question: 30 pens and 75 pencils were purchased for 570. If the average price of a pencil was 2.00, find the average price of a pen.
Choices:
11
12
13
14
Answer: D
Question: A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subjects has the same maximum marks, in how many subjects did he pass the exam?
Choices:
3
4
5
6
Answer: B
Question: The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people V who purchased only book A?
Choices:
500
750
1000
1500
Answer: C
Question: Rs. 6000 is lent out in two parts. IN that One part is lent at 7% p.a simple interest and the second one is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
5 : 1
6: 1
7 : 1
5 : 3
Answer: A
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is
Choices:
1/9
1/3
1/7
1/1
Answer: C
Question: If 0.5 : x :: 5 : 8, then x is equal to:
Choices:
B)1.2
C)1.25
D)0.9
E)0.8
Answer: D
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
Choices:
1.44% loss
14.4% loss
0%
None of these
Answer: A
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Choices:
2899
1889
1500
2881
Answer: C
Question: In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?
Choices:
5
4
9
2
Answer: A
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 40.5 meters. How many times did the ball bounce?
Choices:
3
7
8
9
Answer: A
Question: In a particular state, 70% of the counties received some rain on Monday, and 50% of the counties received some rain on Tuesday. No rain fell either day in 20% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
Choices:
40%
50%
60%
70%
Answer: A
Question: Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
Choices:
127
129
131
141
Answer: A