antoine-444/aqua_rat_dataset huggingface dataset:
Question: If 12 ounces of a strong vinegar solution are diluted with 48 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution?
Choices:
15%
20%
21%
24%
Answer: A
Question: The ratio of the present age of Sandy to that of Molly is 7:2. Twelve years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?
Choices:
45
51
57
63
Answer: C
Question: Point (c,d) is on the circle represented by x^2+y^2=10, and c, d are integers. How many such points are possible?
Choices:
2
4
6
8
Answer: D
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country X. If calls to country X are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country X in a certain month?
Choices:
$12
$13.40
$17.40
$24.40
Answer: B
Question: Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 5 screws and 1 nails?
Choices:
b. 5/2
c. 2
d. 3/2
e. 5/4
Answer: C
Question: What is 15% of 2/3 of 0.5?
Choices:
0.05
9
90
None of the above
Answer: A
Question: A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Choices:
2 litres
5 litres
7 litres
8 litres
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150
2776
1888
177
Answer: A
Question: we have 3 weights one of 2 kg one of 3 kg one of 5 kg by using only two weight how many wight u can weight
Choices:
2
3
4
5
Answer: B
Question: shopkeeper bought 400 meter cloths at rs 40,000 and sell at 200 rs per one and half mtr cloths. what is the gain or loss percent?
Choices:
33.33% Profit
36.33% Profit
39.33% Profit
43.33% Profit
Answer: A
Question: Which of the list following is a prime number ?
Choices:
29
91
93
10
Answer: A
Question: A fast train takes 3 hours less than a slow train for a journey of 600 km, If the speed of the slow train is 10 km/hr less than that of the fast train, the speeds of the two trains are
Choices:
50 km/hr and 60 km/hr
40 km/hr and 50 km/hr
None of these
30 km/hr and 40 km/hr
Answer: B
Question: At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses E at the restaurant? (Assume that all boxes are filled to capacity.)
Choices:
240
E=256
E=384
E=480
Answer: D
Question: The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is
Choices:
154
2376
198
171
Answer: A
Question: Ashok secured average of 76 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
27
99
17
86
Answer: D
Question: In expressing a length of 25.461 km as nearly as possible with the three significant digits, find the percentage error
Choices:
0.153%
0.035%
0.015%
None of these
Answer: A
Question: Paul sells encyclopedias door-to-door. He earns $40 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000.
His largest paycheck of the year was $1,320. What were his sales for that pay period?
Choices:
14,800
14,900
15,600
19,600
Answer: C
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
6
9
2
Answer: A
Question: By how much is three-fifth of 380 greater than four-seventh of 210 ?
Choices:
100
108
120
130
Answer: B
Question: A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
9/11
7/11
5/11
Answer: A
Question: there are 5 envelope and 5 letters placed at random. what is the probability that no single letter is placed in the right envelope
Choices:
118/120
119/120
116/120
115/120
Answer: B
Question: kareena, Saif, and a puppy start walking down a road.
They start at the same time, from the same point, in the same direction.
The saif walks at 5 miles/hour
kareena at 6 miles/hour.
The puppy runs from saif to kareena and back again with a constant speed of 10 miles/hour.
The puppy does not slow down on the turn.
How far does the puppy travel in 1 hour?
Choices:
10 miles
12 miles
20 miles
30 miles
Answer: A
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 46.24, the number of the member is the group is:
Choices:
68
77
87
97
Answer: A
Question: For a construction,15 peoples are working. But constructor wants extra 3 people out of 5 people.What is possible selection?
Choices:
10
7
8
6
Answer: A
Question: Of the 120 passengers on Flight 750, 60% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
Choices:
48
50
64
56
Answer: C
Question: John and Jacob set out together on bicycle traveling at 18 and 15 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 18 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Choices:
3 1/3
3 1/2
4
4 1/3
Answer: D
Question: #88
A necklace is made by stringing C individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then C could equal
Choices:
32
41
54
58
Answer: D
Question: If the quantity (p − 25) is 5 times the quantity (q − 5), then what is the relationship between p and q?
Choices:
p = 5q − 30
5p = q + 20
p = 5q
p = 5q − 20
Answer: C
Question: Three cubes of metal whose edges are 9, 12 and 18 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
20.2
66
18
99
Answer: A
Question: If 80 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Choices:
60 %
70%
75%
80%
Answer: A
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Choices:
24
22
20
19
Answer: A
Question: It takes Joey the postman 1 hours to run a 2 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 3 mile/hour, what is the speed with which Joey returns?
Choices:
6
13
14
15
Answer: A
Question: John,David and Xavier enter into partnership. John invests some money at the beginning, David invests double the amount after 6 months, and Xavier invests thrice the amount after 8 months. If the annual gain be Rs.24000. John's share is?
Choices:
7250
8000
8200
8100
Answer: B
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Choices:
18
12
17
13
Answer: A
Question: Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and the remaining are hard-cover. If there are a total of 7 hard-cover books among the maths and physics books. What is the probability R, that a book selected at random is either a hard cover book or a chemistry book?
Choices:
3/20
1/5
1/4
9/20
Answer: D
Question: The average mark obtained by 23 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Choices:
45
90
80
65
Answer: A
Question: When asked what the time is,a person answered that the amount of time left is 1/2 of the time already completed.what is the time.
Choices:
9 PM
3 PM
4 PM
6 PM
Answer: C
Question: If x is to be chosen at random from the set {5,6,7,8} and y is to be chosen at random from the set {3,4,5}, what`s the probability that xy will be even?
Choices:
1/3
1/2
5/6
2/3
Answer: D
Question: How many prime numbers between 50 to 100?
Choices:
10
15
14
12
Answer: A
Question: The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 7hrs if the speed of the bike is twice speed of the tractor?
Choices:
500 km
360 km
550 km
630 km
Answer: D
Question: A,B,C together can do a work in 12 days. A alone can do the work in 45 days and B alone can do the same work in 55 days. Find in what time C alone can do that work?
Choices:
17days
23.29days
30days
33.20days
Answer: B
Question: There are 1200 military people in a division of the army. There is one Officer for every 15 soldiers in that division. Now the question is how many officers are in the division?
Choices:
35
37
73
75
Answer: D
Question: x2 + bx + 72 = 0 has two distinct integer roots; how many values are possible for 'b'?
Choices:
12
6
24
8
Answer: A
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
Rs.16.29
Rs.16.20
Rs.16.50
Rs.16.27
Answer: C
Question: The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.50 per metre.
Choices:
3888
2999
5940
2888
Answer: C
Question: A can do a work in 3 days. B can do the same work in 6 days. Both A&B together will finish the work and they got $1000 from that work. Find their shares?
Choices:
500,500
300,700
800,200
200,400
Answer: D
Question: The price of a T.V. set worth Rs. 15000 is to be paid in 20 installments of Rs. 2000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
28088
27098
13000
2799
Answer: C
Question: In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)?
Choices:
27,0
49/2, 54
49, 27
49, 29
Answer: A
Question: A ranch has both horses and ponies. Exactly 3/10 of the ponies have horseshoes, and exactly 5/8 of the ponies with horseshoes are from Iceland. If there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?
Choices:
132
148
164
180
Answer: C
Question: The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is?
Choices:
44%
50%
55%
60%
Answer: A
Question: In Town X, 65 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
27%
32%
40%
52%
Answer: A
Question: If x and y are integers and |x - y| = 12, what is the minimum possible value of xy?
Choices:
-18
-24
-36
-48
Answer: C
Question: A train crosses a post in 15 seconds and a platform 100 m long in 25 seconds. Its length is
Choices:
100
125
175
150
Answer: D
Question: In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
Choices:
3!*8!*4!*4! Ways
3!*8!*4!*Ways
3!*4!*4! Ways
4!*4! Ways
Answer: A
Question: Find the number of ways in which 5 different beads can be arranged to form a necklace.
Choices:
20
12
60
80
Answer: B
Question: What is the difference between the local value of 7 and 5 in the number 2574?
Choices:
430
288
277
112
Answer: A
Question: A teacher randomly selects 3 students to clean the classroom. There are 6 girl and 4 boy students in the class. What is the probability the teacher will select exactly 2 girls?
Choices:
7/11
1/3
2/5
2/3
Answer: D
Question: This year, MBB Consulting fired 6% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
Choices:
100.0%
102.8%
103.4%
105.0%
Answer: C
Question: In one can of mixed nuts, 20% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
Choices:
26 2/3%
25%
33 1/3%
35%
Answer: A
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Choices:
50%
65%
70%
75%
Answer: A
Question: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
40 kmph
20 kmph
15 kmph
23 kmph
Answer: B
Question: On increasing the price of T.V. sets by 40%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?
Choices:
5
56
12
7
Answer: C
Question: If 4log(4*5^2) = x, find x
Choices:
6
7
8
9
Answer: C
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
8 %
9 %
10%
4%
Answer: D
Question: A sum of money is sufficient to pay P's wages for 24 days and Q's wages for 40 days. The same money is sufficient to pay the wages of both for?
Choices:
13
14
15
16
Answer: C
Question: 6 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote?
Choices:
12
25
36
47
Answer: C
Question: A bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
Choices:
Rs.480/-
Rs.500/-
Rs.520/-
Rs.540/-
Answer: A
Question: A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 10 members, the student advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committee are possible?
Choices:
110
220
495
1096
Answer: C
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
50
88
76
12
Answer: A
Question: January 1, 2004 was a Thursday, what day of the week lies on January 1 2005.
Choices:
Monday
Saturday
Tuesday
Wednesday
Answer: B
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:
144
516
143
142
Answer: A
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
5.9%
5.6%
3.6%
78.6%
Answer: B
Question: If the probability of rain on any given day in Chicago during the summer is 50%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 9 inclusive?
Choices:
5/16
7/32
11/32
17/64
Answer: A
Question: What least number must be subtracted from 427398 so that remaining no.is divisible by 12
Choices:
5
6
7
8
Answer: B
Question: By selling 18 pencils for a rupee a man loses 15%. How many for a rupee should he sell in order to gain 15%?
Choices:
9
10
89
81
Answer: A
Question: Which of the following are/is prime?
I. 143
II. 147
III. 149
Choices:
III only
I & II
I & III
I, II, & III
Answer: A
Question: John is driving A Royal Enfield motor cycle at 66 km per hour when his rest duration is not considered. He takes small breaks each of 1 minute for every 10 minute of his drive. How much distance will the motor cycle cover in 90 minutes?
Choices:
89.1Km
89.2Km
89.3Km
89.8Km
Answer: A
Question: If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Choices:
6
7
8
9
Answer: C
Question: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is?
Choices:
50
60
65
70
Answer: A
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 57 kmph, find the speed of the stream?
Choices:
17
19
18
16
Answer: B
Question: If 5% of a number is equal to one-third of another number, what is the ratio of first number to the second number?
Choices:
20:3
3:7
6:11
2:3
Answer: A
Question: If a farmer sells 5 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 10 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
Choices:
24
20
55
60
Answer: B
Question: If a·b·c·d=450, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a?
Choices:
10
11
13
15
Answer: C
Question: A crate measures 3 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
Choices:
3
6
8
12
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
2 2 ½ kmph
5 2 ½ kmph
2 8 ½ kmph
6 5 ½ kmph
Answer: A
Question: 31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 18 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?
Choices:
B)18
C)24
D)29
D)36
Answer: C
Question: A person walks from one end to the other of a 90-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
Choices:
42
48
54
60
Answer: B
Question: The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Choices:
30, 40
30, 46
30, 498
30, 41
Answer: A
Question: A and b make a business together, and make a profit of Rs 84000. If A get Rs 48000, what was the ratio of investment between them?
Choices:
4 : 3
5 : 2
4 : 5
6 : 5
Answer: A
Question: Solve the following quadratic equation by factoring.
u2+15u=-50
Choices:
-5,-10
4,3
-4,3
2,5
Answer: A
Question: A certain sum earns simple interest of Rs. 800 in 2 years at a certain rate of interest. If the same sum earns compound interest of Rs.900in the same period of 2 years, What must be the rate of interest?
Choices:
25%
15%
20%
30%
Answer: A
Question: In a consumer survey, 66% of those surveyed liked at least one of three products: 1, 2, and 3. 35% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 8% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
10
11
12
13
Answer: B
Question: Which of the following is true about 0<|x|-2x<5?
Choices:
-1<x<0
1<x<2
2<x<3
3<x<4
Answer: A
Question: A trader marked the selling price of an article at 12% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :
Choices:
10.5 %
11 %
12.5 %
9.8
Answer: D
Question: In how many ways can 3 hats be formed out of 3 blue hats and 10 red hats?
Choices:
302
1
250
286
Answer: D
Question: Two numbers when divided by a divisor leave remainders of 208 and 332 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
Choices:
365
387
472
516
Answer: C
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.40 for every box, and if the university needs 2.4 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$200
$510
$1,250
$2,550
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.3 per sq m?
Choices:
1357
2025
2052
2122
Answer: B
Question: A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money J did Bob receive?
Choices:
22
24
26
52
Answer: A
Question: A horse is tied to one corner of a square playground of side 20m by a rope 3.5m long. Find the area it can move in that playground?
Choices:
9.625
11.125
12.5
14.45
Answer: A
Question: In a triangle, one side is 5 Cm and another side is 9 Cm. which of the following can be the perimeter of the triangle?
Choices:
25.
30.
32.
23.
Answer: D
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 50 percent, what is the discount rate on Pony jeans?
Choices:
10%
110%
120%
150%
Answer: D
Question: What is the unit digit of 3^58?
Choices:
5
7
1
9
Answer: D
Question: By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is:
Choices:
Rs 25
Rs 24
None of these
Cannot be determined
Answer: B
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120 cm2
112 cm2
166 cm2
167 cm2
Answer: A
Question: Two trains of length 160 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
266
990
20
22
Answer: D
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
277
284
108
133
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
8.5 sec
2.7 sec
8.5 sec
Answer: A
Question: If the average of 365, 409, 187, 420, 451, and x is 314, then what is x?
Choices:
52
232
114
400
Answer: A
Question: If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/5 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choices:
10/3
15/4
25/3
25/6
Answer: D
Question: A committee is composed of w women and m men. If 3 women and 4 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
Choices:
w/(w+m)
(w+3)/(m+4)
(w+3)/(w+m+3)
(w+3)/(w+m+7)
Answer: D
Question: The duplicate ratio of 3:4 is?
Choices:
9:11
9:16
9:109
9:12
Answer: B
Question: Darcy lives 1.5 miles from work. She can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. If she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. If it takes Darcy a total of 2 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
Choices:
15
25.5
30
23.5
Answer: D
Question: What is the least possible product of 4 different integers, each of which has a value between –3 and 10, inclusive?
Choices:
–3600
–2160
–600
–120
Answer: B
Question: P is a prime number. If 6p is between 15 and 95, which of the following can be a value of 7p + 2?
Choices:
79
121
65
21
Answer: C
Question: Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.2,70,000 earned at the end of 3 years from the start of the business in 1999 ?
Choices:
Rs.50,000
Rs.90,000
Rs.75,000
None of these
Answer: B
Question: The speed of a boat in upstream is 90 kmph and the speed of the boat downstream is 190 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
76 kmph
12 kmph
97 kmph
50 kmph
Answer: D
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 15% profit?
Choices:
14.49
16.35
16.3
16.32
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3/2
3/1
3/7
3/4
Answer: A
Question: (5)1.25 × (12)0.25 × (60)0.75 = ?
Choices:
260
200
300
400
Answer: C
Question: The probability of picking 2 red balls one after another without replacement from a bag containing only red and white balls is 14/33. What will be the probability of picking 2 white balls one after another w/o replacement from that bag, given that it can hold at the most 20 balls?
Choices:
3/33
5/33
9/33
19/33
Answer: A
Question: Worker W produces n units in 5 hours. Workers V and W, workers independently but at thesame time, produce n units in 2 hours.how long would it take V alone to produce n units?
Choices:
1 hr 53 min
2 hr 30 min
3 hr 30 min
3 hr 20 min
Answer: D
Question: The average of 11 results is 50, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Choices:
56
57
58
59
Answer: D
Question: Find the rank of the word GOOGLE if all the words which can be formed by permuting letters of this word without repitition are arranged in dictionary in alphabetical order???
Choices:
67
88
89
69
Answer: B
Question: The surface of a cube is 54sq cm. Find its volume?
Choices:
27cc
2cc
4cc
6cc
Answer: A
Question: A firm has 3 senior partners and 5 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)
Choices:
46
50
54
58
Answer: A
Question: Fresh grapes contain 75% by weight while dried grapes contain 25% water by weight. What is the weight of dry grapes available from 200 kg of fresh grapes?
Choices:
45.50 kg
66.67 kg
80.56 kg
90.00 kg
Answer: B
Question: A woman has five blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Choices:
12
28
17
18
Answer: B
Question: The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02/ 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04	is:
Choices:
0.125
0.145
0.155
0.165
Answer: A
Question: A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?
Choices:
8 units
12 units
Data inadequate
None of these
Answer: C
Question: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 10 terms of the arithmetic progression?
Choices:
100
150
170
270
Answer: A
Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the divident is
Choices:
4306
4336
5336
None
Answer: C
Question: A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?
Choices:
1
4/3
2
7/2
Answer: B
Question: If the function f(x) is defined for all real numbers x as the maximum value of 4x + 4 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 4x + 4 ?
Choices:
5
6
7
9
Answer: C
Question: A train 250 m long is running at a speed of 58 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: C
Question: A is a working and B is sleeping partners in a business. A puts in Rs. 5000 and B puts in Rs.6000. A receives % of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?
Choices:
770
297
260
277
Answer: A
Question: Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
Choices:
1/5
4/7
3/5
4/9
Answer: B
Question: A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each person’s now working 9 hours a day.
Choices:
150
24
56
75
Answer: C
Question: A Ball is dropped from 8 m height.it rebounds to half the height when it hits the ground. What is the distance travelled by the ball before it hits the ground?
Choices:
21m
22m
24m
28m
Answer: C
Question: Raviraj invested an amount of 1000000000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
Choices:
13,210
13,3200000
13,120
1331000000
Answer: D
Question: If at least 150 dollar is to be divided equally among 12 beneficiaries, how much more the donor needs to add to his dollar balance in order to meet the equal distribution criteria.
Choices:
6
7
8
9
Answer: A
Question: What number would replace the question mark in this quite difficult number sequence ?
21 32 54 87 131 ?
Choices:
125
450
340
186
Answer: D
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Choices:
390 km
380 km
360 km
320 km
Answer: A
Question: In a sports club with 30 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?
Choices:
5
6
7
8
Answer: D
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
Choices:
25/42
25/17
25/19
25/98
Answer: A
Question: If two projectiles are launched at the same moment from 1386 km apart and travel directly towards each other at 445 km per hour and 545 km per hour respectively, how many minutes will it take for them to meet?
Choices:
82
84
86
88
Answer: B
Question: Two trains are running at 40km/hr and 20km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Choices:
23 2/9 m
27 7/9 m
29 m
28 m
Answer: B
Question: Ravi and sunil are partners in a business. Ravi invests Rs.9,000 for 8 months and Sunil invested Rs.12000 for 9 months then after one year ratio of their profits will be
Choices:
2:3
3:2
3:1
3:4
Answer: A
Question: Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share
Choices:
Rs 20
Rs 24
Rs 28
Rs 29
Answer: A
Question: A tourist purchased a total of $1,200 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,310
$1,290
$1,270
$970
Answer: D
Question: You are having 31kg of rice. You are provided with a 1kg stone for weighing. In how many weights the 31kg of rice can be weighed. ?
Choices:
4
5
6
7
Answer: B
Question: Find the wrong number below mentioned series
7,30,80,250,550
Choices:
7
80
250
550
Answer: A
Question: If the equation x^2−x=k has at least one solution, which of the following must be true?
Choices:
k ≥-1/4
k = 9
k ≤ 9
k ≥ −9
Answer: A
Question: The product of all the prime numbers less than 14 is closest to which of the following powers of 10 ?
Choices:
10^5
10^7
10^6
10^9
Answer: A
Question: In a box of 9 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
Choices:
5/12
2/13
2/15
1/17
Answer: A
Question: 12,31,68,129,220,?
Choices:
220
387
347
520
Answer: C
Question: The fourth proportional to 5, 8, 15 is:
Choices:
24
19
20
22
Answer: A
Question: Given the equation a^2 +a^(-3)=4.125, which of the following options is the correct value of a?
Choices:
2
0
3
5
Answer: A
Question: A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
90
28
26
27
Answer: A
Question: #88
A necklace is made by stringing Q no individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then Q could equal
Choices:
28
41
54
65
Answer: A
Question: A swimmer jumps from a bridge over a canal and swims one kilometer stream up. After that first kilometer, he passes a floating cork. He continues swimming for half an hour, then turns around, and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has been swimming with constant effort. How fast does the water in the canal flow?
Choices:
2 km/h
1 km/h
4 km/h
5 km/h
Answer: B
Question: Three years ago, the average age of A and B was 18 years. With C joining them, the average age becomes 22 years. How old is C now?
Choices:
24 years
27 years
28 years
None
Answer: A
Question: If x+|x|+y=5 and x+|y|-y=6 what is x+y=?
Choices:
-1
3
12
13
Answer: C
Question: A man purchases 2 watches for $ 7650. He sells one at 25% profit and the other at a loss of 20%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$7650and $ 4250
$3400 and $4250
$7650 and $3400
$2240 and $ 3500
Answer: B
Question: n and p are integers greater than 1;
5n is the square of a number;
75 np is the cube of a number.
The smallest value for n + p is
Choices:
14
20
30
50
Answer: A
Question: A truck covers a distance of 376 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ?
Choices:
6 hours
7 hours
8 hours
None
Answer: A
Question: A man sells 45 lemons for Rs 40 and loses 20%. At how much price should he sell 24 lemons to the next customer to make a 20% profit?
Choices:
299
72
.32
01
Answer: C
Question: What least number should be added to 1021, so that the sum is completely divisible by 25?
Choices:
4
2
0
5
Answer: A
Question: A and B put in Rs.300 and Rs.500 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.200 where as B does not. In what ratio should they divide the second year's profit?
Choices:
39:49
15:16
14:18
39:41
Answer: B
Question: Calculate the average mark scored by Nancy if she obtained the following scores in an examination: 65, 78, 89, 51 and 69 marks (out of 100) in English Language, Physics, Mathematics, Chemistry and Biology?
Choices:
60.4
50.4
70.4
79.4
Answer: C
Question: If 183 is divisible by 11, find the value of the smallest natural no. N?
Choices:
7
9
10
11
Answer: A
Question: The salary of a person was reduced by 35%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
32%
25%
54%
29%
Answer: C
Question: A hostel had provisions for 250 men for 36 days. If 50 men left the hostel, how long will the food last at the same rate?
Choices:
45
50
60
65
Answer: A
Question: The average (arithmetic mean) of 27, 32, and 64 is 6 less than the average of 29, 42, and x. What is x?
Choices:
64
66
68
70
Answer: D
Question: 288 Ã· ? Ã— 15 + 270 = 405
Choices:
25
32
39
43
Answer: B
Question: Ramesh can finish a piece of work in 14 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work?
Choices:
9/3 days
10/3 days
14/3 days
7/3 days
Answer: C
Question: If a town of 15,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to?
Choices:
a.16000
c.18000
d.19000
e.20000
Answer: A
Question: In a renowned city, the average birth rate is 6 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.
Choices:
129,600
129,700
129,800
129,900
Answer: A
Question: How many seconds will a 600 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 63 km/hr?
Choices:
36
99
88
61
Answer: A
Question: The value of (7x10^7)(7x10^8) is closest to which of the following?
Choices:
10^12
10^17
10^14
10^18
Answer: B
Question: In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (3,-1), (3, 8), (12, 2), (12,-7)?
Choices:
75
81
87
93
Answer: B
Question: An exam consists of 8 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 80% is a passing grade, what is the probability that Brian passes?
Choices:
37/256
1/2
219/256
125/256
Answer: D
Question: If the product of two numbers is 51216 and their H.C.F. is 33, find their L.C.M.
Choices:
680
582
560
None of these
Answer: B
Question: A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 2k1,k24, where k represents a digit that occurs twice, how many values could n have?
Choices:
2
3
4
10
Answer: C
Question: The story of Rapunzel is legendary, but do you know how long it took her to grow her hair so long? First of all, her tower was 22 feet high. On average, her hair would grow 2 feet per year. However, she also had to trim her hair occasionally so that it would continue to grow strong enough to hold a man's body weight. These would amount to cutting off 1/2 foot of her hair every 8 months. Assuming she was bald from the beginning and the prince could jump 3 feet up from the ground to grab the hair, how many months of hair growth would Rapunzel need to be united with her prince charming?
Choices:
132
130.29
150.86
182.4
Answer: D
Question: 12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.
Choices:
384
432
470
None
Answer: A
Question: If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?
Choices:
25% decrease
50% decrease
50% increase
75% increase
Answer: C
Question: Ann's mother is 20 years older than her. In 2 years, however, Ann's mother will be three times older than Ann. How old is Ann now?
Choices:
8 years
9 years
10 years
11 years
Answer: A
Question: The radius of a semicircular plot is 25. What is the approximate perimeter of the plot?
Choices:
150
129
25
57
Answer: B
Question: The LCM and HCF of two numbers are 10000 and 1000 respectively. Find the larger of the two numbers if their sum is 11000.
Choices:
10000
352
576
594
Answer: A
Question: A box contains 5 pairs of shoes (10 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Choices:
1/20
1/9
1/10
1/92
Answer: B
Question: The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.6 kg. the weight of the new student is ?
Choices:
10.8 kg
7 kg
14.9 kg
None
Answer: B
Question: A man engaged a servant on the condition that he would pay him Rs.900 and auniform after 1year service. He served only for 9months and received uniform and Rs.650, find the price of the uniform?
Choices:
Rs.100
Rs.120
Rs.145
Rs.156
Answer: A
Question: A lent Rs. 5000 to B for 2 years and Rs 3000 to C for 4 years on simple interest at the same rate of interest and received Rs 2200 in all from both of them as interest. The rate of interest per annum is
Choices:
10%
11%
12%
None of these
Answer: A
Question: A child was looking for his father. He went 90 m in the east before turning to his right. he went 20 m before turning to his right afain to lok for his father at his uncles place 30 m from this point. His father was not there. From there he went 100m north before meeting hiss father in a street. How far did the son meet his father from the starting point.
Choices:
100
2977
126
191
Answer: A
Question: Enrollment in City College in 1980 was 85/3 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?
Choices:
16 2/3 %
200%
253%
183 1/3%
Answer: C
Question: The 15 homes in a new development are each to be sold for one of three different prices so that the developer receives an average (arithmetic mean) of $200,000 per home. If 4 of the homes are to be sold for $170,000 each and 5 are to be sold for $200,000 each, what will be the selling price of each of the remaining 12 homes?
Choices:
$210,000
$215,000
$220,000
$230,000
Answer: A
Question: Abbey's income is 30 percent more than Abigail's income, and Abigail's income is 35 percent less than Jenny's income. What percent of Jenny's income is Abbey's income?
Choices:
84.5%
82.5%
83.5%
86.5%
Answer: A
Question: Thirty percent of a number is 21 less than four fifth of that number. What is the number ?
Choices:
42
230
130
125
Answer: A
Question: In a company there are 5 partners A,B,C,D,E. They invested money in the ratio of 1:2:3:4:5. If after one year if there is a profit of Rs.15,000. Then share of E will be ?
Choices:
4000
5000
6000
7000
Answer: B
Question: What is 15% of 2/3 of 0.4?
Choices:
0.09
9
90
None of the above
Answer: A
Question: what is the remainder when 30^72^87 is divided by 11.
Choices:
5
1
3
4
Answer: A
Question: A certain bakery baked a batch of 530 cookies one day. Of those, 320 contained nuts, 230 contained chocolate chips, and 85 contained neither nuts nor chocolate chips. What is the fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch?
Choices:
275
413
438
533
Answer: D
Question: Two friends want to buy a snack. They combine their money and find they have $3.45, consisting of quarters, dimes, and nickels. If they have 31 coins and the number of quarters is half the number of nickels, how many quarters do they have?
Choices:
6
7
8
9
Answer: B
Question: The average age of a husband and a wife is 28 years when they were married eight years ago but now the average age of the husband, wife and child is 26 years(the child was born during the interval). What is the present age of the child?
Choices:
6 years
9 years
4 years
1 years
Answer: A
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 36% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
Choices:
n/3
4n/9
5n/6
8n/5
Answer: B
Question: The difference between the compounded interest and simple interest on a certain sum at 10% per annum for 2 years is Rs.631. Find the sum.
Choices:
Rs. 50000
Rs. 63200
Rs. 63100
None
Answer: C
Question: A waiter's salary consists of his salary and tips. During one week his tips were 3/4 of his salary. What fraction of his income came from tips ?
Choices:
3/7
5/8
5/9
6/9
Answer: A
Question: A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^12 and 5^14, respectively, what is the value of A?
Choices:
-24(5^12)
-24(5^6)
23(5^12)
24(5^12)
Answer: A
Question: 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1} shake hands).
Choices:
6
9
8
10
Answer: B
Question: When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 5/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?
Choices:
4/3 n
9/2 n
9/4 n
7/3n
Answer: B
Question: The price of a DVD Player is marked at $ 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Choices:
$ 8721
$ 8739
$ 8766
$ 7739
Answer: A
Question: Three runners T, B and C run a race, with runner T finishing 12m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels entire distance at a constant speed. What was the length of the race?
Choices:
48m
60m
72m
84m
Answer: A
Question: Due to a reduction of 25/4% in the price of sugar, a man is able to buy 1 kg more for Rs. 120. Find the original rate of sugar.
Choices:
8
8.5
9
9.5
Answer: A
Question: A train is 360 meter long is running at a speed of 30 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
69
60
72
21
Answer: B
Question: A sum of Rs. 14,000 amounts to Rs. 22,400 in 12 years at the rate of simple interest. What is the rate of interest?
Choices:
6%
5%
4%
3%
Answer: B
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800 cm
626 cm
245 cm
152 cm
Answer: A
Question: What is the remainder of E=3^19 when divided by 10?
Choices:
1
5
7
9
Answer: C
Question: If a young child was 19 months old one year ago, how old was the child, in months, x months ago?
Choices:
x − 12
19 − x
24 − x
31 − x
Answer: D