antoine-444/aqua_rat_dataset huggingface dataset:
Question: Working together, Jose and Jane can complete an assigned task in 15 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose
Choices:
31 days
50 days
65 days
36 days
Answer: B
Question: The average of 65 numbers is 40. If two numbers, 83 and 60 are discarded, then the average of the remaining numbers is nearly
Choices:
39
38.78
29
30
Answer: A
Question: If the price of the commodity is increased by 50% by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?
Choices:
1/3
1/2
2/3
None
Answer: A
Question: In a race with 10 competitors, the first-place finisher receives a gold medal, and the second-place finisher receives a silver medal. If there are no ties, in how many different ways may these two medals be awarded?
Choices:
90
720
840
68
Answer: A
Question: Find the odd man out. 14,35,49,60,70
Choices:
35
49
60
70
Answer: C
Question: If n is an integer and 5^n > 4,000,000,000, what is the least possible value of n?
Choices:
8
14
10
11
Answer: B
Question: 50 men can complete a work in 65 days.Five days after started the work, 20 men left the group. In how many days can the remaining work be completed?
Choices:
799
2778
277
100
Answer: D
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choices:
3 : 4 : 7
3 : 4 : 9
3 : 4 : 1
3 : 4 : 3
Answer: A
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 40 percent of the sales representatives prefer to stay at Hotel XYZ and 60 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
Choices:
39
42
45
48
Answer: B
Question: 80 is increased by 50%. Find the final number.
Choices:
110
120
30
160
Answer: B
Question: A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 36,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary?
Choices:
Rs. 4000
Rs. 3500
Rs. 3000
None of these
Answer: C
Question: The C.P of 21 articles is equal to S.P of 18 articles. Find the gain or loss percent.
Choices:
18 1/3%
16 2/3 %
20%
30%
Answer: B
Question: The "length" of a positive integer greater than 1 is the number of prime numbers, including repeats, that are factors of that integer. For instance, the length of 20 is 3, because 2×2×5=202×2×5=20. What is the length of 5,950?
Choices:
2
3
4
5
Answer: D
Question: How many no.'s with 3 different digits, 2, 3, 5, 6, 7 and 9, which are divisible by 5?
Choices:
20
40
45
50
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 100 m and they cross each other in 10 sec, then the speed of each train is?
Choices:
18
36
88
21
Answer: A
Question: If 20 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
Choices:
90
85
80
75
Answer: C
Question: If the sum of the interior angles of a regular polygon measures up to 540 degrees, how many sides does the polygon have?
Choices:
5
3
8
None of these
Answer: A
Question: On a 20 mile course, Bil bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?
Choices:
105
117
150
162
Answer: B
Question: 96 64 128 192 128 256 288 192 ?
Choices:
384
374
284
484
Answer: A
Question: 13, 26, 18, 36, 28, 56, ?
Choices:
25
58
47
48
Answer: D
Question: Which of the following values is the greatest
Choices:
b) 22% of 78
c) 45% of 67
d) 44% of 56
e) 55% of 45
Answer: B
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
15 years
18 years
12 years
19 years
Answer: A
Question: If integers ending in zero are excluded, what is the units digit of the product of the even integers from 202 to 298, inclusive?
Choices:
4
6
8
9
Answer: B
Question: On a two-dimensional coordinate plane, the line A = x^2 - x^3 touches the x-axis in how many places?
Choices:
1
2
3
4
Answer: B
Question: A pipe can empty the tank in 8 hours and another fill 6 litres in 1 min. If both pipe opened, the tank is emptied in 12 hours. The capacity of tank is ?
Choices:
8240
8440
8640
8840
Answer: C
Question: If f(a)=2a+3, what is the value of (f(2a)+f(a)) ?
Choices:
6a+6
9a+5
6a+12
3a+5
Answer: A
Question: A monkey ascends a greased pole 20 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?
Choices:
22nd
23rd
24th
37th
Answer: D
Question: Into a bag there are 20 honey and 5 cherry candies. If a boy pick only two candies simultaneous and randomly, what is the probability that he picks one candy of each flavor?
Choices:
1/50
1/12
1/6
1/3
Answer: D
Question: After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Choices:
10 days
20 days
12 days
15 days
Answer: B
Question: If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a - b + c ?
Choices:
2
4
-3
-4
Answer: B
Question: What is the Compound Interest on Rs.4500 at 5% p.a. compounded half-yearly for 3 1/2 years.
Choices:
Rs. 349.09
Rs. 449.09
Rs. 749.09
Rs. 849.09
Answer: D
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers :
Choices:
8
12
16
20
Answer: A
Question: The ratio of the volumes of two cubes is 3375 : 1331. What is the ratio of their total surface areas?
Choices:
225 : 121
225 : 191
181 : 161
81 : 182
Answer: A
Question: If n is the greatest positive integer for which 4^n is a factor of 8!, then n =?
Choices:
2
6
8
10
Answer: A
Question: Square ABCD shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for C to be in the position where B is now shown. The number of degrees through which ABCD is rotated is
Choices:
180 degree
225 degree
315 degree
270 degree
Answer: D
Question: A team of 6 cooks is chosen from 8 men and 6 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?
Choices:
1540
560
700
840
Answer: A
Question: The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1926 in revenue from the sales. How many orchestra tickets did they sell?
Choices:
39
43
47
51
Answer: C
Question: A juice manufacturer organized taste-testing sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshly-squeezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 55 chose brand C. Which of the following could be the number of customers who preferred brand D?
Choices:
8
19
20
27
Answer: B
Question: A sum of Rs. 2730 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1680
1677
1698
1679
Answer: A
Question: 1,3,5,7,9,..50 find the term of sequence for this?
Choices:
1879
1247
1900
2500
Answer: D
Question: Tom can hit a target 3 times in 6 shots, Mike can hit the target 2 times in 6 shots & Johncan hit 4 times in 4 shots. What is the probability that at least 2 shots hit the target ?
Choices:
2/5
2/3
3/7
4/9
Answer: B
Question: There are 5 sweets = Jamun, Kaju, Peda, Laddu, Jalebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i)	Laddu not eaten on Monday.
(ii)	If Jamun is eaten on Monday, Laddu should be eaten of Friday.
(iii)	Peda is eaten the day following the day of eating Jalebi.
(iv)	If Laddu eaten on Tuesday, Kaju should be eaten on Monday.
Based on above, Peda can be eaten on any day except:
Choices:
Monday
Wednesday
Friday
sunday
Answer: A
Question: The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 25% more than the price of the other, what is the price of each of these two oranges?
Choices:
Rs 11.5, Rs 14.5
Rs 10, Rs 16
Rs 12, Rs 14
None of these
Answer: A
Question: For all integers a and b, a%b = (a + b)(a - b). If 5%x = 24, then which of the following could be a value of x?
Choices:
-3
2
3
1
Answer: D
Question: Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
I. Stephanie
II. Regine
III. Brian
Choices:
II only
III
only I or II only
I, II, or III
Answer: C
Question: A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 4 students left over. What is the sum of the two smallest possible values of n?
Choices:
70
74
78
82
Answer: C
Question: The average of numbers 0.64204, 0.64203, 0.64202 and 0.64201 is ?
Choices:
0.64204
0.642022
0.642025
None
Answer: C
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 408 votes. Find the number of votes casted to the winning candidate?
Choices:
1054
788
298
177
Answer: A
Question: The first republic day of the India was celebrated on 26th January,1950. It was
Choices:
28
276
20
22
Answer: A
Question: A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?
Choices:
3 hrs 45 min
4 hrs
4 hrs 15 min
4 hrs 45 min
Answer: A
Question: How much time does a train 100 metres long running at 72 km/hr take to pass a pole?
Choices:
2.5s
5s
7.6s
7.4s
Answer: B
Question: The sum of two numbers is 184. If one-third of the one exceeds one-seventh
of the other by 8, find the smaller number
Choices:
18
68
112
72
Answer: D
Question: If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:
Choices:
5
6
7
None of these
Answer: C
Question: There is a set consisting of 5 numbers--{1,2,3,4,5}. If all possible subsets including null set are created and one subset is picked up, what is the probability that the subset does not have 5 as its largest number?
Choices:
1/4
1/3
1/2
4/5
Answer: C
Question: The number of positive integers valued pairs (x, y) ssatisfying 4x -17y = 1 and x <= 1000 (x is less than or equal to 1000) is
Choices:
fifty nine
55
58
60
Answer: A
Question: A man spends on an average Rs 269.47 for the first 7 months and Rs 281.05 for the next 5 months. Find his monthly salary if he saves Rs 308.46 during the whole year.
Choices:
Rs 300
Rs 840
Rs 400
Rs 600
Answer: A
Question: At the library, 50 books were checked out that day from the display. 5 copies of Sandry's Book were checked out and 15 copies of Howl's Moving Castle. If only two other books were checked out (Harry Potter and the Lightning Thief) and they were both checked out in equal quantities, how many copies of the Lightning Thief were checked out?
Choices:
10
15
20
25
Answer: B
Question: During a clearance sale, a retailer discounted the original price of its TVs by 24% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
Choices:
45%
55%
60%
62%
Answer: D
Question: Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 7 skiers were CPR certified and 17 were not. How many skiers tried out for the ski patrol?
Choices:
30
60
70
80
Answer: A
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.4 per sq m?
Choices:
575, Rs.1350
1350, Rs.675
675, Rs.2700
1550, Rs.875
Answer: C
Question: In 60 litres mixture milk and water are in the ratio 3:1. After adding how many liters of water its ratio will become 3:2
Choices:
15
7
5
12
Answer: A
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 8/3 %
33 1/3 %
73 1/3 %
33 16/3 %
Answer: B
Question: From a group of 4 boys and 4 girls, 2 children are to be randomly selected. What is the probability that 1 boy and 1 girl will be selected?
Choices:
2/3
3/5
4/7
5/9
Answer: C
Question: 9 men can do a work in 12 days working 4 hours a day. In how many days can 6 men do the same work, working 8 hours a day?
Choices:
9
10
8
11
Answer: A
Question: Find the cost of fencing around a circular field of diameter 18 m at the rate of Rs.2.50 a meter?
Choices:
132
150
140
222
Answer: C
Question: With out any halt a train travels a certain distance with an average speed of 49 km ph , and with halts it covers the same distance at an average speed of 28 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
Choices:
45min.
15min.
18min.
19min.
Answer: A
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Choices:
3/4
3/1
3/2
3/9
Answer: A
Question: In traveling from a dormitory to a certain city, a student went 1/2 of the way by foot, 3/5 of the way by bus, and the remaining 4 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
20
40
10
12
Answer: A
Question: When positive integer A is divided by positive integer B, the result is 5.15. Which of the following could be the integer A is ?
Choices:
117
103
123
171
Answer: B
Question: Three positive integers a, b, and c are such that their average is 80 and a ≤ b ≤ c. If the median is (a + 20), what is the least possible value of c?
Choices:
88
90
92
94
Answer: A
Question: A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 8 books for a total of $38.00, and on Tuesday the store sold 20 maps and 12 books for a total of $60.00. At this store, how much less does a map sell for than a book?
Choices:
$0.50
$0.75
$1.00
$l.25
Answer: C
Question: David buys an old scooter for Rs. 2400 and spends Rs. 600 on its repairs. If he sells the scooter for Rs. 3600, his gain percent is :
Choices:
20%
10%
5%
None of these
Answer: A
Question: Mr. George paid $8,000 for 100 shares of stock A and $6,000 for 100 shares of stock B. He later sold the same shares of both stocks, gaining 3/8 the amount he paid for stock B. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:
Choices:
A loss 2 times as much
The same.
A gain 1 1/2 times as much.
A gain 1.33 times as much.
Answer: D
Question: A gold purification process cycle, is able to remove 1/16 of impurities in gold. If we have a 10 grams of gold ore dust containing 16/24 pure gold. How much impurities would have been removed from that old after 4 cycles of purification using that method?
Choices:
0.74
0.76
0.78
0.82
Answer: B
Question: The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $200, by what percent is the price to be reduced?
Choices:
15%
20%
25%
40%
Answer: D
Question: One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 150cm when it touches the floor on third time. What is the value of the original height?
Choices:
60cm
100cm
120cm
130cm
Answer: A
Question: If the price of gold increases by 25%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Choices:
331/3%
631/3%
332/3%
20%
Answer: D
Question: Let f(x) = x^2 + bx + c. If f(1) = 0 and f(-9) = 0, then f(x) crosses the y-axis at what y-coordinate?
Choices:
-9
0
1
9
Answer: A
Question: In triangle PQR, the angle Q = 90 degree, PQ = 2 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ
Choices:
1.6 cm
4.8 cm
2.16 cm
3.2 cm
Answer: A
Question: A boat having a length 5 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
Choices:
100 kg
72 kg
96 kg
None of these
Answer: A
Question: The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $250, by what percent is the price to be reduced?
Choices:
15%
50%
25%
30%
Answer: B
Question: The triplicate ratio of 1:4 is?
Choices:
1:64
1:7
1:2
1:1
Answer: A
Question: A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than 30 musicians per row. How many different rectangular formations X are possible?
Choices:
4
5
6
X=8
Answer: D
Question: The respective ages of father and his son are 51 and 16 years. In how many years will the father be twice as old as his son ?
Choices:
19 years
10 years
15 years
12 years
Answer: A
Question: What inequality represents the condition 1<x<13?
Choices:
|x+5|<4
|x-7|<6
|-5+x|<4
|3+x|<5
Answer: B
Question: It takes one machine 4 hours to complete a production order and another machine 9 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
Choices:
b) 2 10/13
c) 1 5/7
d) 3 1/2
e) 7
Answer: A
Question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $231 for it, the cost price of the Cricket Bat for A is:
Choices:
120
154
160
210
Answer: B
Question: 1/[(1/0.03) + (1/0.37)] = ?
Choices:
0.02775
2.775
3.6036
36.036
Answer: A
Question: A basket has 5 apples and 7 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
Choices:
4/11
5/11
7/22
15/44
Answer: C
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open,in how many hours will the tank be filled ?
Choices:
2.5
3
3.5
4
Answer: B
Question: A seven-digit phone number is divisible by 5. After adding the two digits of the area code the number is not divisible by 3, which of the following cannot be the area code?
Choices:
05.
03.
04.
02.
Answer: A
Question: In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
750
130
250
200
Answer: D
Question: Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 2 inches tall. How tall are the sculpture andbase together?
Choices:
3.2 feet
3.3 feet
3.0 feet
3.5 feet
Answer: C
Question: When Q is divided by W, the quotient is R and the remainder is r. Which of the following expressions is equal to r?
Choices:
Q - RW
RW - Q
QW - R
Q/R
Answer: A
Question: If a coin is tossed twice what is the probability that it will land either heads both times or tails both times?
Choices:
1/6
1/4
1/2
1
Answer: C
Question: What is the least value of x. So that 4x569 is divisible by 3?
Choices:
5
1
0
7
Answer: C
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 20% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
Choices:
$100
c $125
d $130
e $135
Answer: A
Question: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 42, what is the value of a?
Choices:
25
28
30
32
Answer: B
Question: What is the remainder when 9^1 + 9^2 + 9^3 +...+ 9^9 is divided by 3?
Choices:
0
2
5
None of the above
Answer: A
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 117. What is that number?
Choices:
29
27
17
99
Answer: C
Question: What will the value replace by x if 210x0 is divisible by 5?
Choices:
3
2
All the Above
None
Answer: C
Question: A certain restaurant offers 7 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
Choices:
12
15
21
35
Answer: D
Question: A certain rectangular window is four times as long as it is wide. If its perimeter is 50 feet, what are its dimensions in terms of length by width?
Choices:
11 by 3
20 by 5
10 by 4
9 by 3
Answer: B
Question: A motorcyclist goes from Bombay to Nagpur, a distance of 600 kms at an average of 120 kmph speed. Another man starts from Bombay by car 1 Â½ hours after the first, and reaches Nagpur Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:7
1:9
3:5
1:1
Answer: C
Question: Three picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Choices:
B)2^30
C)1^30
D)3^30
E)6^30
Answer: C
Question: 45% of 750 - 25% of 480 = ?
Choices:
217.5
236.5
245
250
Answer: A
Question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 20 minutes, how much time will she spend doing yoga? (rounded to minutes)
Choices:
33 min.
17 min.
23 min.
25 min.
Answer: A
Question: 53 x 22 = 1276 then (4221)n=()10?
Choices:
3897
3898
3899
None
Answer: A
Question: Four friends, Thomas, Mike, Brian, and John, went on a fishing trip. If Mike caught 4 more than Brian did, John caught 12 less than Thomas did, and Thomas caught 4 more than Mike did, how many more fish did Brian catch than John did?
Choices:
4
8
1
12
Answer: A
Question: A group of 3 integers is to be selected one after the other, and at random and without replacement, from list L above. What is the probability that the 3 integers selected are not 3 consecutive integers?
Choices:
7/10
3/4
4/5
14/15
Answer: D
Question: Ram's age and Shyam's age are in the ratio 3 : 4. Seven years ago the ratio of their ages was 2: 3. Find the ratio of their ages five years hence?
Choices:
44:44
33:45
26:33
44:66
Answer: C
Question: Dick and Jane each saved $4,000 in 1989. In 1990 Dick saved 10 percent more than in 1989, and together he and Jane saved a total of $6,500. Approximately what percent less did Jane save in 1990 than in 1989?
Choices:
70%
50%
30%
40%
Answer: A
Question: 2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 3/4 of the red fish and 3/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
Choices:
3/10
7/10
9/20
11/20
Answer: C
Question: A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1994. She ended on her
Choices:
the index finger
the middle finger
the ring finger
the little finger
Answer: A
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 66 km/hr?
Choices:
30
29
88
61
Answer: B
Question: Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 1 ?
Choices:
2/7
33/83
99/250
98/250
Answer: D
Question: A group of 8 students are seated in a linear arrangement. There are 2 girls who must sit together always. in how many arrangements can the students sit?
Choices:
B.1850
C.2880
D.3546
E.10080
Answer: D
Question: A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
8 months
1months
12months
23months
Answer: A
Question: Of three numbers, the third is four times the second and the second is two times the first. If their average is 165, the smallest of the three numbers is:
Choices:
19
45
21
22
Answer: B
Question: Using all the letters of the word "NOOKIASS", how many words can be formed, which begin with N and end with S?
Choices:
160
720
620
820
Answer: B
Question: A 75m long train is running at 54 km/hr. In how much time will it cross an electric pole?
Choices:
5
15
20
25
Answer: A
Question: At what time between 9’o clock and 10’o clock will the hands of a clock point in the opposite directions?
Choices:
16 4⁄11 minutes past 9
55 5⁄61 minutes past 7
55 5⁄61 minutes past 8
None of these
Answer: A
Question: Lina works 10 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
Choices:
5md/6
10d
10d/m
10md
Answer: A
Question: If 9x^2-16y^2=3x+4y,then what will give the answer?
Choices:
3x-4y=2
3x-4y=1
3x+4y=0
3x+4y=1
Answer: B
Question: During one month at a particular restaurant, 1/5 of the burgers sold were veggie burgers and 1/4 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
Choices:
x
2x/3
3x/4
4x/5
Answer: A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
18 sec
20 sec
22 sec
Answer: A
Question: Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 3 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?
Source: Chili Hot GMAT
Choices:
10
9
6
5
Answer: C
Question: A bowl contains 3 parts of which are milk and 5 parts water. How much of the mixture must be drawn off and replaced with milk sothat the mixture may be half milk and half water?
Choices:
3/5
1/5
1/7
2/7
Answer: B
Question: Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 59.4. The difference between the unit digit and hundreds digit of that number is :
Choices:
a) 6
c) 2
d) 1
e) 0
Answer: A
Question: A crate of apples contains 1 bruised apple for every 30 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 15 apples not fit to sell in the crate, how many apples are there in the crate?
Choices:
360
480
600
840
Answer: C
Question: Find the SI on Rs 8000 for 4 yrs at 10% per annum rate of interest?
Choices:
Rs 3500
Rs 4000
Rs 4400
Rs 4800
Answer: B
Question: In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,5) and (t,-8). What is the least possible value of the slope of line L?
Choices:
-6.5
-2
-6
-10
Answer: A
Question: A began a business with Rs.85,000. He wasjoined afterwards by B with Rs.42,500. For how muchperiod does B join, if the profits at the end of the yr are dividedin the ratio of 3:1?
Choices:
8 months
9 months
11 months
21 months
Answer: A
Question: A batsman makes a score of 56 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Choices:
8
27
29
39
Answer: A
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
15
13
18
19
Answer: A
Question: If x is real, find the maximum value of the expression -2x^2 + 9x + 11.
Choices:
15.125
18.125
21.125
24.125
Answer: C
Question: A pump can fill a tank with water in 4 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
Choices:
16hr 20min
9hr 20min
15hr
14hr 25min
Answer: B
Question: A box contains five bulbs out of which 3 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
29/10
19/10
9/10
125/128
Answer: C
Question: A certain company consists of 7 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)
Choices:
108
135
270
364
Answer: D
Question: The L.C.M. of 2 numbers is 30. The numbers are in the ratio 2:3. Find their sum?
Choices:
25
48
32
56
Answer: A
Question: If an average hard drive had a capacity of 0.4 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choices:
512
4096
1024
1536
Answer: B
Question: A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 4 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
Choices:
29/60
17/30
31/45
11/15
Answer: C
Question: A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Choices:
30%
35%
40%
50%
Answer: A
Question: Find the number which is nearest to 3105 and is exactly divisible by 21.
Choices:
3106
3108
3109
3103
Answer: B
Question: The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange lights turn orange every 60 seconds, and yellow lights turn yellow every 1 minute and 20 seconds. The manager plugs the tree in for the first time on December 1st precisely at midnight and all lights begin their cycle at exactly the same time. If the five colored lights flash simultaneously at midnight, what is the next time E all five colored lights will all flash together at the exact same time?
Choices:
0:04 AM
0:06 AM
0:12 AM
0:24 AM
Answer: C
Question: If 7% of the sale price of a watch is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Re 1, then what is the cost price of the watch?
Choices:
Rs 350
Rs 300
Rs 280
Rs 380
Answer: A
Question: Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
Choices:
125
140
180
200
Answer: C
Question: A 2member committee comprising of one male & one female member is to be constitute out of 5 males and 3females. Among st the females. Ms.A refuses to be a member of the committee in which Mr.B is taken as the member. In how many different ways can the committee be constituted ?
Choices:
14
16
18
21
Answer: A
Question: The speed of a boat in still water in 42 km/hr and the rate of current is 8 km/hr. The distance travelled downstream in 44 minutes is:
Choices:
46.6 km
36.6 km
35.6 km
26.6 km
Answer: B
Question: In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number P and the smallest possible number of students that could have taken both geometry and biology?
Choices:
119
113
88
31
Answer: C
Question: If R and S are non-zero integers, and R/S > 1, then which of the following must be true?
Choices:
2R > S
R^2< S^2
R^3 < S^3
RS > S
Answer: D
Question: A completes a work in 20 days B in 60 days C in 45 days. All three persons working together on a project got a profit of Rs.26000 what is the profit of B?
Choices:
4675
4817
4818
4875
Answer: D
Question: The fourth proportional to 28, 14 and 18 is?
Choices:
6
7
8
9
Answer: D
Question: Anand and Deepak started a business investing Rs. 40,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Choices:
2888
6440
2882
2781
Answer: B
Question: Oranges are bought at 7 for Rs.2. At what rate per hundred must they be sold to gain 33%?
Choices:
38
39
44
55
Answer: A
Question: A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 350 bolts?
Choices:
84
120
144
180
Answer: A
Question: The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 18 times the probability that both events A and B occur. What is the probability that event A occurs?
Choices:
6/81
11/61
12/33
3/19
Answer: D
Question: A math teacher has 25 cards, each of which is in the shape of a geometric figure. Half of the cards are rectangles, and a third of the cards are rhombuses. If 8 cards are squares, what is the maximum possible number of cards that re circles.
Choices:
8
11
12
13
Answer: A
Question: If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x
Choices:
II only
III only
I and II
I ,II and III
Answer: C
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Choices:
704
777
662
288
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
190 m
115 m
110 m
150 m
Answer: D
Question: Nine carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if eight of the carpenters work together at their respective rates ?
Choices:
3/5
11/30
47/135
5/9
Answer: C
Question: A train speeds past a pole in 15 sec and a platform 110 m long in 25 sec, its length is?
Choices:
150
160
165
180
Answer: C
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Choices:
8:7
8:2
8:1
8:9
Answer: A
Question: Sneha went to the stationers and bought things worth Rs. 50, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 5%. then what was the cost of the tax free items?
Choices:
Rs. 39.50
Rs. 39.80
Rs. 49.50
Rs. 49.75
Answer: A
Question: How Many 7â€™s are there in the following sequence which are immediately preceded by 6 but not immediately followed by 4?
6 7 4 2 7 4 9 3 6 7 1 9 4 7 2 9 6 7 1 3 6 7 4 3 6
Choices:
2
3
4
None
Answer: A
Question: If 31/198 = 0.1565, what is the 97nd digit to the right of the decimal point of the fraction?
Choices:
2
6
7
9
Answer: B
Question: The instructions state that Cheryl needs 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 6/12 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Choices:
1/9
2/3
1 1/9
4/9
Answer: D
Question: A drink vendor has 10 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
Choices:
261
422
430
438
Answer: A
Question: What will be the difference in simple and compound interest on 5000 after three years at the rate of 10 percent per annum?
Choices:
155
62
20
None of these
Answer: A
Question: 2.01 Ã— 0.001 = ?
Choices:
0.000201
2.01
0.0201
0.00201
Answer: D
Question: How many such letter-pairs are there in the word MONKEY having same no. of letters left between them as they have in the series?
Choices:
4
1
5
6
Answer: B
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement?
Choices:
8/45
9/42
8/111
9/113
Answer: B
Question: List R contains five numbers that have an average value of 70. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Choices:
31
34
37
40
Answer: B
Question: If a rectangular room measures 11 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter=100 centimeters)
Choices:
240,000
2,400,000
24,000,000
264,000,000
Answer: D
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Choices:
134
144
156
176
Answer: B
Question: Molly can do a task in 10 days while Sandy can do the task in 30 days. How many days will it take to complete the task if both work together?
Choices:
6
7.5
8
8.5
Answer: B
Question: Simplify: 72519 x 9999
Choices:
725117481.
725117482
725111748
725117899
Answer: A
Question: If p/q = 3/7 , then 2p+q= ?
Choices:
14
13
15
16
Answer: B
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
54%
57%
78%
87%
Answer: B
Question: Find large number from below question The difference of 2 no's is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1356
1470
1556
1635
Answer: D
Question: A bus leaves the stop 30 minutes before the scheduled time. The driver decreases its speed by 30km/hr. At the next bus stop 180 km away, the bus reached on time. Find the original speed of the bus?
Choices:
120km/hr
130km/hr
140km/hr
None of these
Answer: A
Question: The tax on a commodity is diminished by 12% and its consumption increased by 10%. The effect on revenue is?
Choices:
6
3
5
4
Answer: B
Question: An escalator moves towards the top level at the rate of 12 ft.sec and its length is 196 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
Choices:
14 sec
12 sec
8 sec
9 sec
Answer: A
Question: James took a 3-hour bike ride. In the second hour he travlled 12 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
Choices:
54.9
55.5
37.0
63.0
Answer: C
Question: What is the value of 3x^2 − 1.8x + 0.3 for x = 0.6?
Choices:
0
0.3
1.08
2.46
Answer: B
Question: A person X working alone can complete a work in 6 days. A person Y completes the same amount of work in 10 days, and a person Z when working alone can complete the same amount of work in 30 days. All three people work together for 2 days but then X and Y leave. How many more days does Z need to complete the work after X and Y leave?
Choices:
10
11
12
13
Answer: C
Question: A man can row with a speed of 23 kmph in still water. If the stream flows at 14 kmph, then the speed in downstream is?
Choices:
37
20
28
12
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other 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
5 : 5
5 : 9
5 : 3
Answer: A
Question: An alloy weighing 20 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
Choices:
9
12
76
48
Answer: C
Question: A room is 8 meters 16 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
Choices:
153
178
198
165
Answer: A
Question: A cistern 8 m long and 6 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
50 m2
83 m2
86 m2
55 m2
Answer: B
Question: Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage C.
Choices:
17.4%
17.9%
18.5%
19.1%
Answer: A
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choices:
8184 liters
6184 liters
1184 liters
1183 liter
Answer: C
Question: Six persons in an organization including X and Y were to be divided in two groups of 3 members each. The total number of groups containing both X and Y is what fraction of the total number of groups which can be formed?
Choices:
1/70
3/14
3/10
11/14
Answer: C
Question: Boy sells a book for Rs.450 he gets a loss of 10%, find CP of the book?
Choices:
Rs.450
Rs.500
Rs.600
Rs.650
Answer: B
Question: If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average R (arithmetic mean) annual increase in the index over this period?
Choices:
x/18
(100 − x)/18
(x − 100)/18
100x/18
Answer: C
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/7
2/8
9/2
8/9
Answer: A
Question: The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A ?
Choices:
27
15
18
11
Answer: B
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 14000. What was Simran's share in the profit?
Choices:
Rs. 10,250
Rs. 12,500
Rs. 6000
None of these
Answer: C
Question: If x+y=260, x-y=200, for integers of x and y, y=?
Choices:
230
50
115
150
Answer: A
Question: The average age of a husband and a wife is 28 years when they were married ten years ago but now the average age of the husband, wife and child is 27 years(the child was born during the interval). What is the present age of the child?
Choices:
5 years
9 years
4 years
1 years
Answer: A
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
22 years
23 years
24 years
26 years
Answer: A
Question: A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 70 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?
Choices:
37.5
42
19
50
Answer: C
Question: In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 555. What is the sum of the last 5 integers in the sequence?
Choices:
580
575
570
565
Answer: A
Question: Given that 268x74= 19532, find the value of 2.68x.74.
Choices:
1.9532
1.5693
1.0266
None
Answer: A
Question: Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and VIOLET. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?
Choices:
14
18
19
20
Answer: C
Question: How many seconds will it take for a car that is traveling at a constant rate of 77 miles per hour to travel a distance of 21 yards?	(1 mile = 1,160 yards)
Choices:
0.3
0.6
2
1.6
Answer: B
Question: One pipe can fill a pool twice as faster as the second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?
Choices:
15
15.5
12.5
18
Answer: A
Question: A tin of oil was 4/5full.when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?
Choices:
40
20
21
34
Answer: A
Question: The average age 9 men of a gang are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new men than the old number?
Choices:
12
18
22
24
Answer: B
Question: A company pays 12.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
Choices:
25
18
19
01
Answer: A
Question: If x and y are non-zero integers, and 49x^4 – 4y^4 = 7x^2 + 2y^2, which of the following could be the value of x2 in terms of y?
Choices:
2y^2+1/7
2y^4
2y^2-1/7
2y^2+1/8
Answer: A
Question: Find the simple interest on Rs. 71,000 at 16 2/3% per year for 9 months.
Choices:
6500
8875
9500
None of them
Answer: B
Question: Company Z has 58 employees. If the number of employees having birthdays on Wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth-days, what is the minimum number of employees having birthdays on Wednesday.
Choices:
10
8
9
12
Answer: A
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1456
1500
1600
1635
Answer: D
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
23
27
72
Answer: A
Question: The three sides of an acute angled triangle (all in cms) are 12, 19 and b. How many integer values can b take?
Choices:
22
15
8
7
Answer: C
Question: An electric pump can fill a tank in 4 hours. Because of a leak in the tank, it took 8hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Choices:
12hours
8hours
5hours
15hours
Answer: B
Question: which of the following will not give a prime number on taking square root?
Choices:
144
529
64
256
Answer: B