antoine-444/aqua_rat_dataset huggingface dataset:
Question: Points M(9,4) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?
Choices:
(7,6)
(0, (136^(1/2))/2)
(3/2,0)
(1,5)
Answer: A
Question: A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Choices:
2:6
2:3
2:4
2:9
Answer: B
Question: The ratio between a two-digit number and the sum of the digits of that
number is 4 : 1.If the digit in the unit's place is 3 more than the digit in the ten’s place, what is the number?
Choices:
36
58
25
14
Answer: A
Question: The ratio of number of ladies to gents at a party was 1 : 2, but when 2 ladies and 2 gents left, the ratio became 1 : 3. How many people were originally present at the party?
Choices:
9
12
10
11
Answer: B
Question: 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Choices:
30
86
27
82
Answer: B
Question: A student traveled 30 percent of the distance of the trip alone, continued another 20 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?
Choices:
200
160
100
50
Answer: C
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. 27,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary?
Choices:
Rs. 4000
Rs. 6000
Rs. 3000
None of these
Answer: B
Question: On dividing $200 between A and B such that twice of A's share is less than 2 times the total share of A and B by 100. Find B's share.
Choices:
120
70
90
50
Answer: D
Question: If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 217, what is the common ratio of the G.P?
Choices:
1/3
2
6
1/6
Answer: C
Question: Find the sum of all 3 digit natural numbers, which are divisible by 8
Choices:
61376
612314
64170
64171
Answer: A
Question: If x=3y=4z, what is z+y, in terms of x?
Choices:
4x/9
11x/13
7x/12
5x/11
Answer: C
Question: What amount does Kiran get if he invests Rs.6450 at 15% p.a. compound interest for two years, compounding done annually?
Choices:
8900
4560
8530
9890
Answer: C
Question: On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 18 more transactions than Cal. How much transactions did Jade handled?
Choices:
81
82
83
84
Answer: D
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
879
476
255
789
Answer: B
Question: Find large number from below question The difference of two numbers is 1375. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1455
1577
1647
Answer: D
Question: The average weight of 10 persons increases by 3.2 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
80 kg
85 kg
97 kg
None
Answer: C
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
44
48
52
Answer: A
Question: A rectangular paper, when folded into two congruent parts had a perimeter of 34 cm for each part folded along one set of sides and the same is 38 cm when folded along the other set of sides. What is the area of the paper?
Choices:
140 cm2
560 cm2
160 cm2
None of these
Answer: A
Question: If tomorrow will be a Sunday, what day was the day before yesterday?
Choices:
Tuesday
Wednesday
Thursday
Friday
Answer: C
Question: There are b cities. What is the number of airlines that connected 2 different cities (airline from city A to city B is different with airline from city B to city A)?
Choices:
n(n+1)
n(n-1)/2
n(n+1)/2
b(b-1)
Answer: D
Question: What approximate value should come in place of the question mark (?) in each of the following equations ?
52.861 + 0.2563 + 8.1 + 57.35 + 0.0087 = ?
Choices:
119
121
115
120
Answer: A
Question: If 1/4 of the passengers on a ship are from North America, 1/8 are Europeans, 1/12 are from Africa, 1/6 are from Asia and the remaining 36 people are citizens of other continents, then how many passengers are on board the ship?
Choices:
96
100
104
108
Answer: A
Question: Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of z crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of z?
Choices:
z
3z/2
2z
3z
Answer: D
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
5 days
2 days
9 days
1 days
Answer: C
Question: A book is bought for $60 and sold for $63. What is the profit in percentage?
Choices:
5
7
9
11
Answer: A
Question: In how many ways a hockey team of eleven can be elected from 16 players?
Choices:
4368
5368
4166
None of these
Answer: A
Question: Iron company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks?
Choices:
64
256
576
4096
Answer: B
Question: In an increasing sequence of 8 consecutive integers, the sum of the first 4 integers is 570. What is the sum of the last 4 integers in the sequence?
Choices:
580
586
587
589
Answer: B
Question: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 7?
Choices:
5
6
7
8
Answer: B
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 3 days?
Choices:
9
10
12
15
Answer: D
Question: Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?
Choices:
Between 0 and 30
Between 0 and 60
Between 0 and 75
Between 0 and 45
Answer: B
Question: Divide $2000 among B,C in the ratio 4:16. How many $ that C get?
Choices:
$1400
$1600
$1800
$2000
Answer: B
Question: A container has 3L of pure wine. 1L from the container is taken out and 2L water is added.The process is repeated several times. After 19 such operations, qty of wine in mixture is
Choices:
2/7 L
6/19L
7/23L
8/25L
Answer: A
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 1/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
7/15
10/21
17/35
1/10
Answer: D
Question: If it would take one machine 6 minutes to fill a large production order and another machine 8 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
Choices:
3 3/7
5 5/11
5 1/2
11
Answer: A
Question: Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald carries a total of 45 notes (of either $10 or €10,) then what is the total number of notes (of either $10 or €10,) they take?
Choices:
80
150
120
140
Answer: B
Question: A frog can climb up a well at 3 ft per min but due to slipperiness of the well, frog slips down 2 ft before it starts climbing the next minute. If the depth of the well is 57 ft, how much time will the frog take to reach the top?
Choices:
27
55
17
10
Answer: B
Question: If xy = 5 and x^2 + y^2 = 20, then x/y + y/x =
Choices:
3 1/7
5 1/3
4
60
Answer: C
Question: If 20 men can build a wall 66 metres long in 6 days, what length of a similar can be built by 86 men in 8 days?
Choices:
46 m
49 m
46.5m
45 m
Answer: B
Question: The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?
Choices:
150
277
261
281
Answer: A
Question: If 10 percent of national ice cream sales are for strawberry flavored ice cream, 20 percent are chocolate, and 60 percent vanilla, what fraction of of total ice cream sales are for other flavors?
Choices:
3/5
3/10
1/5
1/10
Answer: D
Question: If m : n = 3 : 4 and n : o = 8 : 9, then m : o is :
Choices:
3 :2
2 : 3
1 : 2
2 : 1
Answer: B
Question: The average score of a cricketer for ten matches is 38.9 runs. If the average for first six matches is 42, then average for last four matches is
Choices:
32.25
34.25
34.5
35.5
Answer: B
Question: A salesperson receives a base salary of $1200 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?
Choices:
$1,800
$2,100
$2,500
$3,000
Answer: D
Question: Fresh fruit contains 68% water and dry fruit contains 20% water.How much dry fruit can be obtained from 100 kg of fresh fruits ?
Choices:
40 kg
50 kg
60 kg
70 kg
Answer: B
Question: Of the sixteen participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
Choices:
4
36
9
20
Answer: B
Question: Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Choices:
4
9
13
15
Answer: A
Question: The mean of 50 observations was 36. It was found later that an observation 45 was wrongly taken as 23. The corrected new mean is
Choices:
36.14
36.24
36.44
None
Answer: C
Question: If the product of the integers w, x, y and z is 68, and if 0< w < x < y < z, what is the value of w + z?
Choices:
5
16
18
21
Answer: A
Question: A certain truck uses 18 gallons of diesel fuel in traveling 220 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
Choices:
9
12
15
7
Answer: D
Question: The ratio of the number of boys and girls in a school is 3:2 Out of these 10% the boys and 25% of girls are scholarship holders. % of students who are not scholarship holders.?
Choices:
84%
88%
82%
74%
Answer: A
Question: In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = b is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-b, -k), then what are the coordinates of the point P?
Choices:
(-3b, -3k)
(2b, 2k)
(3b, 3k)
(5b, 5k)
Answer: C
Question: If x and y are positive numbers and z = xy^2, a 50 percent increase in x and a 10 percent decrease in y would result in which of the following changes in z?
Choices:
decrease of 14.5%
increase of 4.5%
increase of 21.5%
increase of 35.5%
Answer: C
Question: Can you find the next letter in the series ?
S - T - I - L - N - T - F - Y - ?
Choices:
B
C
D
E
Answer: B
Question: A rectangular field has a length 10 meters more than it is width. If the area of the field is 200, what is the length (in meters) of the rectangular field?
Choices:
20
24
26
28
Answer: A
Question: If c > 1 and d = 2^(c −1), then 4^c =
Choices:
4d^2
d^2
d^2/4
d^2/16
Answer: A
Question: Mike weighs twice as much as Mary. Mike's weight is 150% of Michelle's weight. Alan weighs 40% of Charlie's weight. Charlie weighs 180% of Mary's weight. Which of these 5 people weighs the highest?
Choices:
Mike
Michelle
Alan
Charlie
Answer: A
Question: One week a certain van rental lot had a total of 20 vans, all of which were on the lot Monday morning. If 50 percent of the vans that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different vans that could have been rented out during the week?
Choices:
18
20
8
4
Answer: A
Question: Roy is now 8 years older than Julia and half of that amount older than Kelly. If in 4 years, Roy will be twice as old as Julia, then in 4 years what would be Roy’s age multiplied by Kelly’s age?
Choices:
180
192
200
216
Answer: B
Question: how many words formed ACCIDENT without changing relative order of vowels??
Choices:
360
380
390
400
Answer: A
Question: The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 10 cm. If the area of the trapezium is 250cm2 find the lengths of the parallel side
Choices:
27, 23
24, 26
23, 29
24, 45
Answer: A
Question: A pump can fill a tank with water in 10 hours. Because of a leak, it took 20 hours to fill the tank. The leak can drain all the water in ?
Choices:
20hr
30hr
14hr
16hr
Answer: A
Question: A and B have the same number of marbles when they start playing. After some time A gains 20 marbles and later he loses 2/3rds of what he had. Now B has 4 times as many marbles as A has. What are the initial number of marbles that each of them had?
Choices:
90
100
110
120
Answer: B
Question: The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 6 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
Choices:
4
12
6
160
Answer: C
Question: How many positive integers G less than 10,000 are such that the product of their digits is 210?
Choices:
30
48
54
72
Answer: C
Question: With both inlets open, a water tank will be filled with water in 52 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
Choices:
10,500
11,750
17,500
19,500
Answer: D
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
125/121
125/126
125/122
125/124
Answer: B
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 60 = x?
Choices:
1
3
4
5
Answer: A
Question: Julie has $2000 saved in her bank account after this summer. She made money babysitting and delivering newspapers which she added to her previous savings. Julie babysat for 30 hours at $10/hr, she delivered papers for 40 hours at $7/hr. What % of her bank account was savings she had before this summer?
Choices:
51 %
61 %
71 %
81 %
Answer: C
Question: Rakesh's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 60% problems right. How many more questions he would have to answer more to get passed ?
Choices:
5
7
8
9
Answer: A
Question: 90 people are attending a newspaper conference. 45 of them are writers and more than 38 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors?
Choices:
16
12
10
6
Answer: D
Question: The ratio E, by volume of soap to alcohol to water in a 76 litre solution is 2: 50: 100 . The solution is then altered by adding more soap, alcohol and water.After this alteration the ratio, by volume of soap to water in the solution doubles whereas the ratio, by volume of soap to water remains the same as before. What COULD BE the resulting volume.
Choices:
78 litres
77 litres
152 liters
304 litres
Answer: B
Question: The relationship between quantities m and n is expressed by the equation 15m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
Choices:
42/11
60/11
150/11
10
Answer: D
Question: A loan has a variable interest rate that fluctuates between 6% and 8% of the base payment per month. If base payments remain at $400 each month and an additional monthly surcharge of 2% is added to the combined (base + interest), what would be the greatest possible payment due in any given month?
Choices:
$436.48
$438.16
$440.64
$442.32
Answer: C
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 54 sec. The length of each train is?
Choices:
26
75
28
21
Answer: B
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
Choices:
10
12
14
16
Answer: B
Question: Which one of the following is not a prime number?
Choices:
34
67
91
55
Answer: C
Question: A work can be finished in 15 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is
Choices:
3:4
2:3
3:2
5:4
Answer: D
Question: A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 6 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose?
Choices:
3
6
8
10
Answer: A
Question: There are 4 copies of 5 different pens. In how many ways can they be arranged on a shelf?
Choices:
20!/5(4!)
20!/(4!)^5
20!
5!
Answer: B
Question: The sum of the squares of the first 15 positive integers (1^2 + 2^2 + 3^2 + . . . + 15^2) is equal to 1290. What is the sum of the squares of the second 15 positive integers (16^2 + 17^2 + 18^2 + . . . + 30^2) ?
Choices:
3490
6785
8265
9255
Answer: C
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
11 * 13 * 15 =?
Choices:
49
206
38
55
Answer: B
Question: A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, B receives :
Choices:
11900
37798
13777
14778
Answer: A
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 60% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Choices:
64%
66%
80%
84%
Answer: A
Question: A chair is bought for Rs.600/- and sold at a loss of 20% find its selling price
Choices:
s.480/-
s.560/-
s.590/-
s.580/-
Answer: A
Question: A train passes a station platform in 40 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
180 m
197 m
691 m
Answer: B
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Choices:
120 kg in the morning and 240 kg in the afternoon
110 kg in the morning and 220 kg in the afternoon
130 kg in the morning and 260 kg in the afternoon
125 kg in the morning and 250 kg in the afternoon
Answer: A
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Choices:
266
321
500
782
Answer: C
Question: In how many ways can 3-digit numbers be formed selecting 3 digits from 1, 1, 2, 3, 4?
Choices:
4P3
4^3
4P3+3C1*(3!/2!)
60 × 3!
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/36
23/32
23/33
Answer: A
Question: Which of the following is the equation of the line in the xy-plane that has slope 0
(I) x = -2
(II) y = 3
(III) x + y = 0
Choices:
III
II
I&II
II&III
Answer: B
Question: The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 5 years ago?
Choices:
214560
138214
210000
200000
Answer: B
Question: Jisha walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
Choices:
44
58
60
62
Answer: D
Question: In the equation ax^2 + bx + c = 0 a, b, and c are constants, and abc # 0. If one root of the equation is -3, and b = 8a then which of the following is c equal to?
Choices:
a/8
15a
8a
12a
Answer: B
Question: Three hundred multiples of seven are chosen at random, and 700 multiples of eight are chosen at random. Approximately what percentage of the 1000 selected numbers are odd?
Choices:
15%
35%
50%
80%
Answer: A
Question: If a college has 15 staff for every 700 students, then what is the number of staff for 1400 students?
Choices:
30
12
17
19
Answer: A
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.160. Find the unknown rate of two blankets?
Choices:
550
490
450
457
Answer: A
Question: X is a prime number bigger than 10. Also, Y = X+X^3+X^5+X^7. What is definitely true about Y?
Choices:
Y is odd.
Y is even.
Y is divisible by 3.
Y is divisible by 7.
Answer: B
Question: The successive discounts 20% and 15% are equal to a single discount of?
Choices:
72%
32%
44%
29%
Answer: B
Question: A certain store sold pens for $0.35 each and pencils for $0.25 each. If a customer purchased both pens and pencils from the store for a total of $1.80, what total number of pens and pencils did the customer purchase?
Choices:
6
10
11
12
Answer: A
Question: A reduction of 20% in the price of oil enables a house wife to obtain 4kgs more for Rs.600, what is the reduced price for kg?
Choices:
40
36
30
35
Answer: C
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 11 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
Choices:
48 kilometers per hour
49.2 kilometers per hour
75 kilometers per hour
100 kilometers per hour
Answer: B
Question: The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
Choices:
16
24
48
36
Answer: C
Question: The product of a and b is equal to 11 more than twice the sum of a and b. If b = 5, what is the value of b - a?
Choices:
-2
7
24
35
Answer: A
Question: 3 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:
10
15
17
19
Answer: B
Question: If P represents the product of the first 14 positive integers, then P is not a
multiple of:
Choices:
b) 84
c) 72
d) 65
e) 57
Answer: D
Question: For which of the following values of n is (500+n)/n NOT an integer?
Choices:
2
3
4
5
Answer: B
Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Choices:
20
50
60
80
Answer: A
Question: Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Choices:
20 : 49 : 64
38 : 28 : 21
30 : 20 : 15
None of these
Answer: A
Question: When positive integer N is divided by positive integer P, the quotient is 18, with a remainder of 7. When N is divided by (P + 2), the quotient is 10 and the remainder is 3. What is the value of N?
Choices:
331
511
43
87
Answer: C
Question: Gary’s Gas Station serves an average of 13 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
Choices:
1,088
1,240
1,280
1,320
Answer: A
Question: If m is an integer such that (-2)^2m=2^(18-m) then m=?
Choices:
2
3
5
6
Answer: D
Question: There are two numbers. If 30% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
B)5/8
C)6
D)5/6
E)7
Answer: C
Question: One side of a rectangular field is 16 m and one of its diagonal is 18 m. Find the area of the field.
Choices:
120
150
180
None
Answer: D
Question: If two sides of a triangle have lengths 6 and 8, which of the following could be the perimeter of the triangle? I. 9 II. 16 III. 19
Choices:
I only
II only
III only
I, II, and III
Answer: C
Question: If the sum of 6 consecutive integers is x, which of the following must be true?
I. x is a multiple of 6
II. x is an odd number
III. x is aneven number
Choices:
I only
III only
I and III
II and III
Answer: A
Question: How many positive integers between 1 and 300 are there such that they are multiples of 21?
Choices:
14
17
13
15
Answer: A
Question: 100 students appeared in 2 tests.60 students passed 1st test. 40 students passed in the 2nd test. 20 students passed in both 1 and 2 tests. what is the probability of the students who failed in both tests?
Choices:
15%
20%
25%
30%
Answer: B
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
12
18
77
12
Answer: B
Question: (12345679 x 72) = ?
Choices:
888888888
666666666
999999999
333333333
Answer: A
Question: You collect baseball cards. Suppose you start out with 13. Maria takes half of one more than the number of baseball cards you have. Since you're nice, you give Peter 1 baseball card. Since his father makes baseball cards, Paul decides to triple your baseball cards. How many baseball cards do you have at the end?
Choices:
15
19
20
21
Answer: A
Question: The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?
Choices:
17
18
16
11
Answer: A
Question: A large research project was scheduled over the course of a 30-month period, and a budget of $84,000 was allotted for the course of the entire project. After seven months, the project had spent $19,800. Was the project at this point over budget or under budget, and by how much?
Choices:
0ver, $200
under, $700
over $1800
over $5800
Answer: A
Question: In a certain Parallelogram the degree measure of one angle exceeds that of the other by 10 what is the degree measure of the smaller angle?
Choices:
80
85
90
95
Answer: B
Question: The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 128 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
24
88
66
23
Answer: A
Question: In how many seconds will a train 180 meters long pass an oak tree, if the speed of the train is 36 km/hr?
Choices:
16
18
20
22
Answer: B
Question: There are 4 more women than men on Centerville's board of education. If there are 12 members on the board, how many are women?
Choices:
4
6
7
8
Answer: D
Question: An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.18522/- in 3 years at the same rate of interest. Find the rate percentage?
Choices:
5%
9%
11%
12%
Answer: A
Question: In how many ways can the letters of the word "CORPORATION" be arranged so that vowels always come together.
Choices:
50400
2880
None of above
2487
Answer: A
Question: If three distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 32?
Choices:
3/14
5/28
9/56
11/64
Answer: B
Question: An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.30 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?
Choices:
700,000
380,000
400,000
420,000
Answer: A
Question: The average age of a class of 15 students is 10 years. If the age of the teacher be included, then the average increased by 1year. Find the age of the teacher?
Choices:
23
26
29
31
Answer: B
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 4000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Choices:
11,600
12,000
14,000
16,400
Answer: C
Question: What is the greatest prime factor of (13!12!) + (13!14!)?
.
Choices:
13
47
61
71
Answer: C
Question: For a race a distance of 224 meters can be covered by P in 7 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Choices:
800m
834m
831m
836m
Answer: A
Question: In how many ways can a cricket eleven be chosen out of a batch of 15 players.
Choices:
1230
1365
2410
3564
Answer: B
Question: John bought 9.25m of cloth for $425.50. Find the cost price per metre.
Choices:
46
58
56
54
Answer: A
Question: Look at this series: 2, 1, (1/2), (1/4), (1/8), ... What number should come next?
Choices:
(1/5)
(1/6)
(1/10)
(1/16)
Answer: D
Question: A girl swims downstream 40 km and upstream 16 km taking 4 hours each time, what is the speed of the girl in still water?
Choices:
4
5
6
7
Answer: D
Question: On my sister's birthday, she was 143 cm in height, having grown 10% since the year before. How tall was she the previous year?
Choices:
136 cm
130 cm
127 cm
125 cm
Answer: B
Question: A goods train runs at the speed of 72 kmph and crosses a 350 m long platform in 26 seconds. What is the length of the goods train?
Choices:
140 m
160 m
170 m
None of these
Answer: C
Question: How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated?
Choices:
60
42
62
61
Answer: A
Question: M = {-6, -5, -4, -3, -2}
T = {-2, -1, 0, 1, 2, 3, 4}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Choices:
1/3
2/5
1/2
4/7
Answer: D
Question: Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 7 weeks have been $406, $413, $420, $436, $395, $410, $360. What must his average (arithmetic mean) income over the next two weeks be to decrease his average weekly income to $400 over the 9-week period?
Choices:
$380
$430
$290
$520
Answer: A
Question: In order to obtain an income of Rs. 600 from 12% stock at Rs. 106, one must make an investment of
Choices:
6240
2368
7632
7732
Answer: C
Question: What are the odds that you will draw a Queen or Spades from a well-shuffled standard deck of cards?
Choices:
1 in 12
1 in 5
4 in 52
4 in 13
Answer: D
Question: Truck P and Truck Q drive on the highway in the same direction at respective rates of 72 kph and 80 kph. If Truck Q is 5 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 20 minutes?
Choices:
7 kph
8 kph
9 kph
10 kph
Answer: A
Question: The ratio of two numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is?
Choices:
16
24
48
None of these
Answer: C
Question: A lady builds 7cm length, 18cm width, and 3cm height box using 9cubic cm cubes. What is the minimum number of cubes required to build the box?
Choices:
42
47
49
56
Answer: A
Question: In 1990 a total of c earthquakes occurred worldwide, some but not all of which occurred in Asia. If e o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Choices:
e/c
e/(c-e)
c/(c-e)
1- (e/c)
Answer: B
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit?
Choices:
3199
3120
3000
3123
Answer: C
Question: Sheik Abdullah decides to buy 2 new cars for his collection. If he has to choose between eight different cars, what is the number of purchasing possibilities he has?
Choices:
B)158
C)168
D)178
E)188
Answer: B
Question: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer M that must divide n is?
Choices:
12
24
36
48
Answer: A
Question: A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 400 shares of the company's stock?
Choices:
$208
$104
$120
$240
Answer: A
Question: Alfred buys an old scooter for $4700 and spends $800 on its repairs. If he sells the scooter for $6000, his gain percent is?
Choices:
9.1%
7%
8.12%
10%
Answer: A
Question: An unbiased die is tossed .find the probability of getting a multiple of 3
Choices:
1/3
2/7
1/7
1/6
Answer: A
Question: If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-2) ∆ (2 ∆ −2) ?
Choices:
0
1
9
25
Answer: C
Question: What is the difference between the place value and the face value of 6 in the numeral 296827?
Choices:
5999
994
5994
995
Answer: C
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
Rs.3944
Rs.3927
Rs.3297
Rs.3929
Answer: A
Question: The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 11m 95 cm is
Choices:
7
5
8
9
Answer: B
Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.24, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
Choices:
0.44
32
44
55
Answer: B
Question: 8873 + x = 13200, then x is ?
Choices:
4327
3337
2337
None of these
Answer: A
Question: If Compound Interest on a certain sum for 2 years at 5% p.a. is Rs.328, the Simple interest will be ?
Choices:
Rs. 320
Rs. 322
Rs. 323
Rs. 324
Answer: A
Question: In a camp, there is a meal for 60 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
16
18
20
15
Answer: D
Question: The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 65 terms of set X?
Choices:
0
4
6
8
Answer: A
Question: An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percent at original price?
Choices:
20%
35%
40%
50%
Answer: B
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
87/20
17/28
17/20
57/20
Answer: C
Question: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
180
200
1680
220
Answer: C
Question: A company, Chauncy Co., has an annual travel budget of $58,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choices:
$2,725
$4,225
$5,725
$60,725
Answer: A
Question: In a class there are 60% of girls of which 25% poor. What is the probability that a poor girl is selected is leader?
Choices:
15
77
17
11
Answer: A
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Choices:
12
14
15
18
Answer: A
Question: Sum of two numbers prime to each other is 12 and their L.C.M. is 35. What are the numbers?
Choices:
7 and 5
6 and 5
8 and 5
6 and 5
Answer: A
Question: If the charge of staying in a student youth hostel $18.00/day for the first week, and $14.00/day for each additional week, How much does it cost to stay for 23 days?
Choices:
$350
$282
$274
$286
Answer: A
Question: The difference of 6 hours 45 minutes and 3 hours 15 minutes is approximately what percent of a day?
Choices:
approx 15%
approx 24%
approx 28%
approx 72%
Answer: A
Question: A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?
Choices:
484
844
848
884
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 9 years and that for 15 years?
Choices:
3:5
1:4
Data inadequate
None of these
Answer: A
Question: 5% people of a village in a country died by violence, 15% of the remaining left the village on account of fear. If now the population is reduced to 3553, how much was it at the beginning?
Choices:
4400
3400
5500
6000
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 90 km/hr?
Choices:
2.8 sec
8.5 sec
2.2 sec
4 sec
Answer: D
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when a boy gets any no. of prizes?
Choices:
512
510
540
70
Answer: A
Question: The train consists of 6 carriages, 20 meters long each. The gap between the carriages is 1 meter. If the train is moving at a constant speed of 60 km/h, how much time will it take the train to run through a 1 kilometer tunnel?
Choices:
1^1/8 minutes
1^3/4 minutes
2 minutes
2^1/4 minute
Answer: A
Question: The compound ratio of 2:3, 3:4 and 4:5?
Choices:
2:5
3:4
3:5
3:9
Answer: A
Question: On a baseball team, 6 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
Choices:
1/3
1/2
2/3
3/4
Answer: B
Question: If a man travels f miles an hour for t hours and r kilometers an hour for s hours, what is his average rate in kilometers per hour for the entire distance traveled?
Choices:
(ft + rs)/2 kms/hr
t/f + s/r kms/hr
(ft + rs)/(t + s) kms/hr
(ft + rs)/(t - s) kms/hr
Answer: C
Question: In Arun's opinion, his weight is greater than 65 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choices:
66.5 kg
77.5 kg
88.5 kg
None of these
Answer: A
Question: A palindrome is a number that reads the same forward and backward, such as 124. How many odd, 4-digit numbers are palindromes?
Choices:
45
50
60
2500
Answer: C
Question: . A boy has four trousers and 7 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
20
26
28
30
Answer: D
Question: A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
180
200
220
240
Answer: A
Question: Every day Daniel drives 100 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?
Choices:
28%
33%
42%
52%
Answer: D
Question: a percent of b is c and c percent of d is e, then a is what percent of e?
(a, b, c, d, e > 0)
Choices:
10000/bd
10000 bd
bd/1000
1000000/bd
Answer: D
Question: 9 people decided to split the restaurant bill evenly. If the bill was $314.16 dollars, how much money did they 1 cent is the smallest unit?
Choices:
$314.17
$314.18
$314.19
$314.20
Answer: C
Question: How many 3 digit even numbers do not use any digit more than once
Choices:
280
2240
246
2520
Answer: A
Question: What day of the week was 31st July, 1993?
Choices:
Sunday
Saturday
Tuesday
Friday
Answer: B
Question: 12KM is how many miles?
Choices:
7Miles
7.5Miles
8Miles
9miles
Answer: B
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150 m
177 m
287 m
267 m
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 90 km/hr?
Choices:
2.9 sec
3.5 sec
4 sec
2.4 sec
Answer: C
Question: A work as fast as B. If B can complete a work in 20days independently,the number of days in which A and B can together finish the work in?
Choices:
20/3days
15days
10days
20days
Answer: A
Question: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length E of the fence including the fence posts on each end?
Choices:
m(n + x)
E=m(n + x) + x
m(n + x) + 2x
2mn
Answer: B
Question: Sum of Rs.36.90 is created by 180 coins which are possibly 10 paise coins or 25 paise coins. The count of 10 paise coins are
Choices:
54
56
57
58
Answer: A
Question: The length, the breadth and the height of a rectangular solid are in the ratio 1:2:3. If the length, breadth and height are increased by 100%, 200% and 200% respectively , then the increase in the volume of the rectangular solid is
Choices:
6 times
12 times
17 times
20 times
Answer: C
Question: Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is
Choices:
22
42
43
45
Answer: C
Question: Three people (1 couple and 1 single) are seated at random in a row of 9 chairs. What is the probability that the couple does not sit together?
Choices:
4/7
5/8
5/9
7/9
Answer: D
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is:
Choices:
11 years.
21 years.
36 years.
58 years.
Answer: A
Question: Of the 150 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
.
Choices:
30
50
80
100
Answer: B
Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
75
30
80
50
Answer: A
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 25% alcohol, is?
Choices:
4
5
6
9
Answer: D
Question: Ana is 5 years more than Jack. The sum of their ages is 29. Find the ages of Jack.
Choices:
11
12
13
14
Answer: B
Question: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
Choices:
100π
60π
50π
70π
Answer: A
Question: Find the odd man out. 7,13,19,25,29,37,43
Choices:
29
25
43
53
Answer: B
Question: The radius of a wheel is 22.5 cm. What is the distance covered by the wheel in making 500 resolutions?
Choices:
707.14 m
774 m
714 m
744 m
Answer: A
Question: Solution A is 20% ammonia and Solution B is 80% ammonia. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% ammonia solution?
Choices:
6:14
4:4
4:6
3:7
Answer: B
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range W of the 10 numbers?
Choices:
27
30
52
55
Answer: C
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 4 years the amount to be paid is?
Choices:
8127
8618
8774
8128
Answer: C
Question: If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
Choices:
30000
50000
60000
20000
Answer: B
Question: The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 75 black cars in the lot, how many red cars are there in the lot?
Choices:
28
24
29
32
Answer: A
Question: Mr. Donald has $900 in ten, twenty, fifty and one hundred dollar bills. He has an equal number of each denomination of bill. How many total bills does Mr. Donald have?
Choices:
20
30
40
50
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 5/7%
42 6/8%
42 6/7%
43 6/7%
Answer: C
Question: Find the next term in the given series -
47, 94, 71, 142, 119, 238, . ?
Choices:
360
320
340
215
Answer: D
Question: Let a,b,c and d be the result of rounding off 7382.196 to the nearest thousand, hundred, ten and one, respectively. Which of the following statements is true?
Choices:
d<c<a<b
a<d<c<b
c<d<b<a
a<c<d<b
Answer: D
Question: How many pairs (w, w+1) have one or more prime factors common, where w is an integer and 2 ≤ w ≤9 ?
Choices:
0
2
3
4
Answer: A
Question: How many odd numbers between 10 and 1,200 are the squares of integers?
Choices:
13
14
15
16
Answer: D
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
1000
2688
2772
2991
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
Rs.4520
Rs.4527
Rs.4530
Rs.4521
Answer: C
Question: If m, n, and o are three different positive integers whose sum is prime, which of the following statements could be true?
Choices:
Each of m + 3, n + 3, and o + 3 is prime.
Each of m, n, and o is prime.
The average (arithmetic mean) of m, n, and o is prime.
m + n = o
Answer: B
Question: A basketball is dropped from a height of 30 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 2 full bounces.
Choices:
55
60
75
80
Answer: C