antoine-444/aqua_rat_dataset huggingface dataset:
Question: Anand and Deepak started a business investing Rs. 34,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Choices:
2888
8400
7000
2781
Answer: C
Question: number of ways by which 4digit no made where aless than b,bless than c,c less than d where all lies between 1 to 9
Choices:
1296
1380
1480
1580
Answer: A
Question: The length of the longest tape in cm which can be used to measure exactly, the length 100cm; 2m25cm; and 7m80cm is:
Choices:
5
10
36
25
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1000 resolutions?
Choices:
704 m
1408 m
1860 m
1760 m
Answer: B
Question: Grace has 16 jellybeans in her pocket. She has 8 red ones, 6 green ones, and 2 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Choices:
8
12
13
15
Answer: D
Question: A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The height of the cone is :
Choices:
14 cm
16 cm
17 cm
None
Answer: A
Question: find value for x from below equation? x + 1 = -4
Choices:
-5
4
3
2
Answer: A
Question: Prints a page 50 pg per min .If the printed for 2 hours except 15 min.Where there
was an paper jam,how many page did it print
Choices:
12,880
5,250
8,880
18,880
Answer: B
Question: A certain auto manufacturer sold 7% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
1,960,000
2,030,000
2,040,000
2,300,000
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) x^4- 227= 398 and (b) y^2 + 321=346
Choices:
If x>y
If x<y
If x<=y
x=y or relationship cannot be established
Answer: D
Question: If f(x)=7x+6 and g(y)=3y^2+ 5y-8 then g(f(x))
Choices:
857x^2+99x+89
852x^2+96x+87
147x^2+119x+58
852x^2+69x+98
Answer: C
Question: When positive integer x is divided by positive integer y, the remainder is 6. If x/y = 6.12, what is the value of y?
Choices:
75
50
25
12
Answer: B
Question: An artist wishes to paint a circular region on a square poster that is 2.4 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
Choices:
sqrt(2.88/pi)
1
2/sqrt(pi)
pi/2
Answer: A
Question: From a point P, on the surface of radius 3 cm, two cockroaches A and B started moving along two different circular paths, each having the maximum possible radius, on the surface of the sphere, that lie in the two different planes which are inclined at an angle of 45 degree to each other. If A and B takes 18 sec and 6 sec respectively, to complete one revolution along their respective circular paths, then after how much time will they meet again, after they start from P?
Choices:
9 sec
24 sec
20 sec
23 sec
Answer: A
Question: If $5,000 is invested in an account at a simple annual rate of r percent, the interest is $250. When $16,000 is invested at the same interest rate, what is the interest from the investment?
Choices:
$750
$850
$800
$900
Answer: C
Question: Plaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?
Choices:
54
96
144
432
Answer: A
Question: What is the place value of 2 in the numeral 2734?
Choices:
5000
2000
8000
8400
Answer: B
Question: Mary can do a piece of work in 12 days. Rosy is 50% more efficient than Mary. The number of days taken by Rosy to do the same piece of work is?
Choices:
8
9
11
10
Answer: A
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 40 paise per sq. metre
Choices:
s340
s880
s480
s980
Answer: A
Question: A retailer sells 10 shirts. The first 3 he sells for $82,$100 and $90. If the retailer wishes to sell the 10 shirts for an overall average price of over $100, what must be the minimum average price of the remaining 7 shirts?
Choices:
$104.00
$110.00
$115.00
$119.00
Answer: A
Question: Billy read 2 books. He read the first one in one week with 25 pages everyday. He read the second book in 12 days with 23 pages everyday. What is the total number of pages that Billy read?
Choices:
442 pages
451 pages
553 pages
344 pages
Answer: B
Question: A contract is to be completed in 46 days sad 117 men were said to work 8 hours a day. After 33 days, (4/7) of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
Choices:
87
85
81
None of them
Answer: C
Question: The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
21 years
18 years
29 years
30 years
Answer: B
Question: John throws a coin until a series of three consecutive heads or three consecutive tails appears. What is the probability that the game will end after the third throw?
Choices:
1/4
3/16
7/16
9/16
Answer: A
Question: To fill a tank, 200 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to four-fifths of its present ?
Choices:
100
150
200
250
Answer: D
Question: A photographer is to take group photographs of a class of students for the school magazine such that each photograph should have five students. If there are four girls and four boys in the class and each photograph must not have two girls or two boys standing together, how many different photographs can the photographer take?
Choices:
288
44
576
288^2
Answer: C
Question: Arabica coffee costs $0.6 per ounce while Robusta coffee costs $0.5 per ounce. If the blend of Arabica and Robusta costs $0.55 per ounce, what is the share of Arabica in this blend?
Choices:
24%
30%
50%
40%
Answer: C
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Choices:
1219
1210
1212
1312
Answer: B
Question: A local bank that has 18 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 18 codes?
Choices:
4
5
6
7
Answer: B
Question: Which of the following inequalities is equivalent to 40 + 6x > -3x - 11x + 20?
Choices:
x < -1
x < 3
x < -3
x < 4
Answer: C
Question: Find the average of the first 21 natural numbers?
Choices:
9
10
11
12
Answer: C
Question: For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -6?
Choices:
2
3
4
5
Answer: B
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How
many days will 5 women and 10 children take to complete the work?
Choices:
7 days
8 days
9 days
None of these
Answer: A
Question: Peter traveled the entire 50 miles trip. If he did the first 12 miles of at a constant rate 36 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Choices:
24mph
30mph
38mph
40mph
Answer: C
Question: During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons. If Kim purchased 15 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
Choices:
100%
116.7%
120%
180%
Answer: D
Question: What is the least number of squares tiles required to pave the floor of a room 6 m 75 cm long and 4 m 5 cm broad?
Choices:
15
40
44
54
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
2644
2645
4577
5184
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is?
Choices:
6:3
4:9
4:4
4:2
Answer: A
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
62.3
62.1
62.4
Answer: A
Question: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability that 3 of Sam’s 4 funds grew by at least 10% over last year?
Choices:
6C3 * 4C1 / 10C4
6C3 * 4C1 / 10P4
6P3 * 4P1 / 10C4
6P3 * 4P1 / 10P4
Answer: A
Question: A person buys an article at $200. At what price should he sell the article so as to make a profit of 10%?
Choices:
260
220
300
360
Answer: B
Question: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Choices:
(2x + y)(x – y)
(x – y)2 + x(x – y)
(2x – y)2 – x(2x – y)
(2x – y)2 – 2x2 + xy
Answer: A
Question: A retailer buys a radio for Rs 225. His overhead expenses are Rs 30. He sellis the radio for Rs 300. The profit percent of the retailer is
Choices:
50%
25%
17.6%
None of these
Answer: C
Question: what is the sum of the first 10 odd natural numbers
Choices:
400
500
600
100
Answer: D
Question: Albert borrowed a total of $ 6000 from Brian and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1400 as total interest. What is the interest paid to Brian at the end of three years?
Choices:
790
795
785
770
Answer: D
Question: A train speeds past a pole in 15 seconds and a platform 100 meter long in 25 seconds. What is length of the train ?
Choices:
145 meter
150 meter
155 meter
160 meter
Answer: B
Question: A starts business with Rs.3500 and after 10 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bâ€™s contribution in the Capital ?
Choices:
20778
23788
31500
2811
Answer: C
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 6 employees to 2 different offices?
Choices:
64
44
43
56
Answer: A
Question: The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
Choices:
(mb + nc)/ (n + n) years
(mb + nc)/ (m + n) years
(mb + nn)/ (m + n) years
(mn + nc)/ (m + n) years
Answer: B
Question: From the sale of sleeping bags, a retailer made a gross profit of 17% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
Choices:
3.36
23.93
25.0
31.36
Answer: B
Question: Ronika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much ?
Choices:
9500
9620
9760
9100
Answer: B
Question: A train speeds past a pole in 50 seconds and a platform 500 m long in 100 seconds. Its length is:
Choices:
300 m.
600 m.
400 m.
500 m.
Answer: D
Question: Raman,Lakshmi and Muthu enter into partnership. Raman invests some money at the beginning, Lakshmi invests double the amount after 6 months, and Muthu invests thrice the amount after 8 months. If the annual gain be Rs.36000. Lakshmi's share is?
Choices:
12000
8000
5000
3000
Answer: A
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
28
20
21
18
Answer: B
Question: A man can do a piece of work in 8days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone?
Choices:
5 1/2
4 4/5
6
9 1/2
Answer: B
Question: If f > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - f) =
Choices:
1/3
1/2
3/4
1
Answer: A
Question: A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is
Choices:
15
18
20
22
Answer: A
Question: Two trains each 260 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
19 sec
12.48 sec
10 sec
11 sec
Answer: B
Question: We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 12, and the difference between the total number of strawberries and the total number of blueberries would increase by 76. Each blue box contains how many blueberries?
Choices:
28
30
32
34
Answer: C
Question: The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
Choices:
665
287
208
268
Answer: A
Question: What is the normal price of an article sold at $108 after two successive discounts of 10% and 20%?
Choices:
$140
$150
$160
$170
Answer: B
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Choices:
31
27
29
39
Answer: D
Question: How many seconds will a 450 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 60 km/hr?
Choices:
30
40
45
60
Answer: A
Question: A bakery orders a shipment of apples and uses them all to make 150 apple pies. On slow days it takes 6 hours to sell all 150 apple pies. On busy days they sell 200 pies in 6 hours. Calculate how many hours one shipment of apples will last on a busy day.
Choices:
5
4.5
4.2
3.8
Answer: B
Question: If 13 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Choices:
143 days.
149 days.
148 days.
67 days.
Answer: A
Question: A’s speed is 22/19 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choices:
1/19
3/19
2/19
3/22
Answer: D
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
Choices:
52
66
90
51
Answer: D
Question: A can do a job in 16 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
25 4/5 days
22 4/5 days
20 4/5 days
21 4/5 days
Answer: B
Question: Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
Choices:
55
69
70
82
Answer: C
Question: If 18 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
Choices:
90
85
78
72
Answer: D
Question: A shipment of 8 television sets contains 2 black-and-white sets and 6 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
A.
B.
C.
D.
E. 13/28
Choices:
1/4
5/14
11/28
13/28
Answer: D
Question: Two train each 500 m long, are running in opposite directions on parallel tracks. If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is?
Choices:
24s
22s
23s
21s
Answer: A
Question: There are 4 red shoes, 3 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Choices:
2/9
4/7
4/9
2/3
Answer: B
Question: A speed of 7 metres per second is the same as :
Choices:
22 km/hr
30 km/hr
25.2 km/hr
None
Answer: C
Question: If A:B is 3:4 and B:C is 4:5 then A:C is equal to
Choices:
3:5
3:4
3:7
1:5
Answer: A
Question: A bicyclist's wheel has a circumference of 2 meters. if the bicyclist covers 20 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
Choices:
2
17
18
19
Answer: A
Question: A train travels from New York to Chicago, a distance of approximately 480 miles, at an average rate of 60 miles per hour and arrives in Chicago at 5:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
Choices:
10:00
5:00
6:00
7:00
Answer: A
Question: Sohan ranks seventh from the top and twenty-sixth from the bottom in a class. How many students are there in the class ?
Choices:
31
32
37
35
Answer: B
Question: A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
Choices:
3600
3400
5380
3400
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 256 sq. feet, how many feet of fencing will be required?
Choices:
45.6
68
88
92
Answer: A
Question: The length of the bridge, which a train 110 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
367
237
245
265
Answer: D
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
63kmph
20kmph
62kmph
74kmph
Answer: B
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
34
75
87
94
Answer: B
Question: From a seven-member dance group, five will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the seven members, what is the probability that both will be chosen to volunteer?
Choices:
b) 1/7
c) 40/7
d) 2/7
e) 3/7
Answer: B
Question: A 100-litre mixture of milk and water contains 30.25 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 25%. What is the value of x?
Choices:
9.1 litres
8 litres
12 litres
6 litres
Answer: A
Question: What least number must be added to 1100, so that the sum is completely divisible by 23 ?
Choices:
3
4
5
6
Answer: B
Question: the age difference between two brothers is 3 years. After 6 years the ratio between the age is 9:8
What are their ages?
Choices:
21 and 18
21 and 17
20 and 18
22 and 18
Answer: A
Question: A man whose speed is 5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4
6
9
4.55
Answer: D
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
3.9
4.1
4.2
4.6
Answer: D
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
7500
7379
7453
7637
Answer: A
Question: P, Q and R have $7000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Choices:
2800
3998
2539
1930
Answer: A
Question: A school’s annual budget for the purchase of student computers increased by 75% this year over last year. If the price of student computers increased by 50% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Choices:
12%
14%
15%
16.67%
Answer: D
Question: A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 8 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 8 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?
Choices:
450
465
468
475
Answer: B
Question: Working at constant rate, pump X pumped out half of the water in a flooded basement in 7 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
Choices:
b. 12
c. 34
d. 18
e. 24
Answer: B
Question: If a, b, and c are three different positive integers whose sum is prime, which of the following statements could be true?
Choices:
Each of a, b, and c is prime.
Each of a + b, a + c, and b + c is prime
The average (arithmetic mean) of a, b, and c is prime
a + b = c
Answer: A
Question: The distance from City A to City B is 240 miles. While driving from City A to City B, Jim drives at a constant speed of 40 miles per hour. Kerri leaves City A 60 minutes after Jim. What is the minimum constant speed in miles per hour that Kerri must exceed in order to arrive in City B before Jim?
Choices:
44
46
48
50
Answer: C
Question: A cistern is normally filled in 10 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Choices:
88
60
99
11
Answer: B
Question: A person purchased a TV set for Rs. 1800 and a DVD player for Rs. 300. He sold both the items together for Rs. 3129. What percentage of profit did he make?
Choices:
96%
40%
49%
23%
Answer: C
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many H cubes are painted on only 2 faces?
Choices:
12
6
10
16
Answer: A
Question: there are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made?
Choices:
50540 ways
50840 ways
40540 ways
51540 ways
Answer: A
Question: How many combinations of three letters taken from letters (a, a, b, b, c, c ) are possible?
Choices:
13
5
7
6
Answer: C
Question: A Lady has given one-fourth part of her property to her daughter, half part to her sons and one-fifth part given as charity. How much part of hier property she has given?
Choices:
19/20
1/10
9/10
None
Answer: A
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
9261
9621
9162
5000
Answer: A
Question: Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 9 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
Choices:
10
11
12
13
Answer: A
Question: Two pipes A and B can fill a cistern in 10 and 30 minutes respectively, and a third pipe C can empty it in 50 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
15 1/7 min
17 1/7 min
8.8 min
7 2/7 min
Answer: C
Question: What is the twenty-fourth decimal to the right in the fraction 47/48?
Choices:
2
4
6
8
Answer: C
Question: In the equation a = 36.12b, b and a are integers. If a/b leaves a remainder of r, which of the following must divide into r?
Choices:
3
4
6
12
Answer: A
Question: A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 55 meters, what is the height of the building (in meters)?
Choices:
22
24
26
28
Answer: A
Question: Five friends go to a city where they can stay in 10 different hotels. In how many ways can they stay in these hotels if at least two of them stay together?
Choices:
5^10−10C5
5^10−5!
10^5−10C5∗5!
10^5−10C5
Answer: C
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:
7
6
8
9
Answer: C
Question: Simple interest on a certain sum is 16 over 25 of the sum. Find the rate per cent and time, if both are equal.
Choices:
8% and 8 years
10% and 10 years
12 % and 12 years
None of these
Answer: A
Question: Ajay marked the price of his goods 30% more than his C.P. He then sells 1/4th of his stock at a discount of 15%, and half of the stock at the marked price, and the rest at a discount of 30%. Find his gain percentage.
Choices:
15.375%
14.20%
13.37%
None of these
Answer: A
Question: At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors
Choices:
20 to 9
9 to 50
6 to 25
3 to 10
Answer: A
Question: John can do a piece of work in 30 days while michael can do it in 40 days. In how many days will they finish it together?
Choices:
17 1/7 days
23 2/7 days
16 4/11 days
17 5/11 days
Answer: A
Question: A and B can finish a piece of work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days. A alone can finish the work in
Choices:
50 days
54 days
60 days
65 days
Answer: C
Question: A and B undertake to do a piece of work for $120. A alone can do it in 4days while B alone can do it in 6days. With the help of C, they finish it in 2days. Find the share of B?
Choices:
$100
$200
$50
$40
Answer: D
Question: A and B can finish a work in 10 days while A alone can do the same work in 20 days. In how many days B alone will complete the work?
Choices:
20 days
98 days
31 days
22 days
Answer: A
Question: It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?
Choices:
15 Minutes
16 Minutes
17 Minutes
19 Minutes
Answer: A
Question: A rectangular plot measuring 40 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Choices:
36m
26m
56m
25m
Answer: A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Choices:
10∏ cm
12∏ cm
11∏ cm
13∏ cm
Answer: B
Question: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
40
10
20
Answer: A
Question: Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 7. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
Choices:
(4m-21)/[m(m-7)]
(8m-21)/[m(m-5)]
(10m-21)/[m(m-5)]
(4m-15)/[m(m-5)]
Answer: A
Question: If 2|2 –f| = 5, what is the sum of all the possible values for f ?
Choices:
2
5/2
4
5
Answer: C
Question: Enrollment in City College in 1980 was 42 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?
Choices:
138.09 %
20%
25%
183 1/3%
Answer: A
Question: Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.1 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Choices:
14/31
7/15
11/31
1/2
Answer: C
Question: Two pumps are connected to an empty tank. Pump X fills the tank with water at a constant rate, while pump Y drains water out of the tank at a constant rate. The two pumps finish filling the tank in six times the duration it would take pump X alone to fill the tank. If pump Y alone can empty a whole tank in 48 minutes, then how many minutes does it take pump X alone to fill the tank?
Choices:
34
36
38
40
Answer: D
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
28
10
66
23
Answer: B
Question: Of 32 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 7 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
Choices:
13
9
7
5
Answer: C
Question: A car covers a certain distance at aspeed of 60 kmph in 5 hours. To cover the same distance in 4 hrs, it must travel at a speed of?
Choices:
75 km/hr
782 km/hr
789 km/hr
720 km/hr
Answer: A
Question: A sports equipment store sold ping pong rackets for a total of $490. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
Choices:
50
490
500
980
Answer: A
Question: How many seconds will a 300 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:
30 sec
86 sec
15 sec
18 sec
Answer: D
Question: By walking at 4/5 of his usual speed, Mohan is 6 minute late to his office. find his usual time to cover the distance.
Choices:
23 minutes
24 minute
26 minute
None of these
Answer: B
Question: A farm has only chickens and pigs. When the manager of the farm counted the heads of the animals on the farm, the number totaled up to 50. When the number of legs was counted, the number totaled up to 120. How many more chickens than pigs are there on the farm? Note: Each pig has 4 legs and each chicken had 2 legs.
Choices:
30
34
36
38
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: (-5) ∆ (5 ∆ −5) ?
Choices:
49/16
81/16
81/25
100/81
Answer: C
Question: A bag marked at $150 is sold for $120. The rate of discount is?
Choices:
25%
20%
50%
45%
Answer: B
Question: Arabica coffee costs $0.5 per ounce while Robusta coffee costs $0.4 per ounce. If the blend of Arabica and Robusta costs $0.44 per ounce, what is the share of Arabica in this blend?
Choices:
24%
30%
33%
40%
Answer: D
Question: A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family ?
Choices:
31( 5/7)
31( 5/2)
31( 4/7)
41( 5/7)
Answer: A
Question: Simplify:12345679 x 72
Choices:
888888888
888888887
888888886
888888885
Answer: A
Question: A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 7 minutes. How much time will be take to cover a distance of 7 kilometres?
Choices:
70 min.
84 min.
55 min.
None of these
Answer: B
Question: The first year, two cows produced 8100 litres of milk. The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year. How many litres were milked from one cow?
Choices:
3697 lt
6583 lt
4370 lt
5548 lt
Answer: C
Question: Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
Choices:
11, 13, 15
13, 15, 17
7, 9, 11
None of these
Answer: C
Question: Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $508. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $656. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
Choices:
12
14
16
8
Answer: D
Question: If A speaks the truth 80% of the times, B speaks the truth 60% of the times. What is the probability that at least one will tell the truth
Choices:
0.92
1.02
1.2
1.3
Answer: A
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Choices:
20 years
88 years
44 years
11 years
Answer: A
Question: if deepak has 5 pants and 3 shirts how many combinations can deepak make?
Choices:
9
15
20
25
Answer: B
Question: How many possible ways can 1 girls (Rebecca, Kate, Ashley) go on a date with 3 boys (Peter, Kyle, Sam)?
Choices:
3
5
6
8
Answer: A
Question: A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 3 red and 2 blue samples, and a second jar is chosen at random from a different display containing 3 red and 2 blue samples. If he plans on mixing the two chosen jars together, what is the probability that when mixed together, the result will be purple paint? (The color purple is created with 1 part red and 1 part blue.)
Choices:
1/2
2/3
4/5
6/5
Answer: B
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 66 kg. What is the correct weight?
Choices:
58.85kgs
58.9kgs
59kgs
59.85kgs
Answer: B
Question: What is the value of 3x^2 − 1.8x + 0.7 for x = 0.6?
Choices:
0
0.3
0.7
2.46
Answer: C
Question: The number of timeshare condos available at Sunset Beach is 3/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 400, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?
Choices:
90
120
100
240
Answer: C
Question: Find the next no.
82, 51, 28, 20, ?
Choices:
11
12
13
14
Answer: D
Question: If a is a positive integer, then 2^a + 2^(a + 1) + 2^(a + 2)=
Choices:
2^(a + 1)
2a
2a^(a + 1)
7(2^a)
Answer: D
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.600, what is the reduced price for kg?
Choices:
30
70
80
20
Answer: A
Question: A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?
Choices:
9, 50
10, 46
10, 50
10, 60
Answer: A
Question: A fifth of Arunâ€™s marks in mathematics exceed a third of his marks in English by 20.If he got 260 marks in two subjects together how many marks did he got in English?
Choices:
180,60
200,60
200,40
None of them
Answer: B
Question: Which of the following is closest in value to (9^10)-(9^2)?
Choices:
9^10
9^7
9^6
9^5
Answer: A
Question: The arithmetic mean and standard deviation of a certain normal distribution are 15 and 1.5, respectively. What value is exactly 2 standard deviations less than the mean?
Choices:
11
11.5
12
12.5
Answer: C
Question: Set A contains all the even numbers between 10 and 50 inclusive. Set B contains all the even numbers between 110 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
2100
5050
6275
11325
Answer: A
Question: A bag contains 6 green balls and 8 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?
Choices:
8/21
12/21
43/91
47/91
Answer: C
Question: A’s speed is 20/16 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choices:
3/17
1/10
4/20
3/10
Answer: C
Question: What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular octagon?
Choices:
1/3
1/2
2/5
7/8
Answer: C
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
175
297
267
911
Answer: A
Question: A boy has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
90
140
130
120
Answer: A
Question: A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Choices:
4
5
6
7
Answer: B
Question: Find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm?
Choices:
165 cm2
168 cm2
198 cm2
987 cm2
Answer: A
Question: The cross-section of a tunnel is a trapezium in shape. If the tunnel is 15 m wide at the top and 5 m wide at the bottom and the area of cross-section is 400 sq m, the depth of tunnel is?
Choices:
600 m
400 m
800 m
900 m
Answer: B
Question: The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.
Choices:
17000
170028
171776
170892
Answer: A
Question: Working together, Jose and Jane can complete an assigned task in 30 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose
Choices:
90 days
60 days
65 days
36 days
Answer: A
Question: The sum of the ages of Latha and Geetha is 60years. Also 5 years ago, the Latha's age was 5 times the age of the Geetha. What is the age of the Geetha?
Choices:
15yeas
20years
18years
22years
Answer: A
Question: The speed at which a man can row a boat in still water is 150 kmph. If he rows downstream, where the speed of current is 48 kmph, what time will he take to cover 390 metres?
Choices:
11
12
13
14
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 16 homes?
Choices:
$210,000
$215,000
$207,500
$230,000
Answer: C
Question: Simple interest on a certain amount is 9/16 of the principal. If the numbers representing the rate of interest in percent and time in years be equal, then time, for which the principal is lent out, is :
Choices:
7 1/2
8
9 1/2
None
Answer: A
Question: What is the area of an equilateral triangle whose one side length is 70?
Choices:
925√3
1025√3
1125√3
1225√3
Answer: D
Question: A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :
Choices:
(3)10 - (2)10
243 *(35 -1)
(3)10 -(2)5
None of these
Answer: B
Question: What should come in place of the question mark (?) in the following number series?
11 16 23 32 43 ?
Choices:
56
57
58
59
Answer: D
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.65 less, he could have gained 25%. What is the cost price?
Choices:
325
278
267
288
Answer: A
Question: How many numbers from 10 to 50 are exactly divisible by 3?
Choices:
13
16
17
18
Answer: A
Question: The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:
Choices:
2.4 km
3.2 km
3.6 km
4.6 km
Answer: C
Question: The average of first 40 prime numbers is?
Choices:
16.41
15.61
15
16.91
Answer: A
Question: Aishwarya’s mom was 38 years of age at the time of her birth, while her mom was 34 years old when her 4 years younger sister was born. The variance between the parents ages is :
Choices:
11 years
10years
12 years
8 years
Answer: D
Question: A thief steals at a car at 2.00 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Choices:
3 p.m
4 p.m
4.30 p.m
6 p.m
Answer: C
Question: If TIER is written as 7163 and BRAIN is written as 23415, how is RENT coded ?
Choices:
7653
3657
3765
None of these
Answer: B
Question: How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
2 years
1 year
4 years
5years
Answer: A
Question: One side of a rectangular field is 14 m and one of its diagonal is 17 m. Find the area of the field.
Choices:
134.4
150
180
None
Answer: A
Question: 337.62+8.591+34.4=?
Choices:
380.511
380.611
426.97
None of them
Answer: B
Question: An engineer undertakes a project to build a road 15 km long in 300 days and employs 40 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Choices:
b. 45
c. 55
d. 68
e. 60
Answer: D
Question: In the next Cricket World Cup T-20, Team W has decided to score 200 runs only through 4s and 6s. In how many ways can the Team W score these 200 runs?
Choices:
15
16
17
18
Answer: C
Question: Suresh borrowed some money at the rate of 4% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?
Choices:
s.6000
s.8500
s.9000
s.7000
Answer: B
Question: Convert the 11/36 m/s into kilometers per hour?
Choices:
1.5
1.3
1.1
1.2
Answer: C
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Choices:
area=3
5
6
7
Answer: A
Question: The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 30 more than the number who did not, and if receipts for registration and lunch totaled $75,360, how many people paid just for registration at the meeting?
Choices:
800
600
1,500
1,800
Answer: B
Question: You have been given a physical balance and 5 weights of 45, 42, 37, 36 and 67 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 157 kgs.
Choices:
151
154
153
152
Answer: B
Question: Three numbers are in the ratio 4 : 5 : 6 and their average is 42 . The largest number is:
Choices:
32
36
50.4
45
Answer: C
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
60 m
40 m
80 m
90 m
Answer: C
Question: In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is?
Choices:
86
92
94
96
Answer: A
Question: If n = 2×3×5×7×11×13, then which of the following statements must be true?
I. n2 is divisible by 600
II. n + 19 is divisible by 19
III. is even n+4 / 2 = even
IV . n is Divisible by 35
Choices:
none and IV only
III only
I and III only
e None
Answer: A
Question: 700 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Choices:
138
60
38
14
Answer: D
Question: A group of 16 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
Choices:
nE / [16(16-n)]
E/[12(12-n)]
(12 - n)/E
(12-n)E/(12n)
Answer: A
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
Choices:
8 days
11 days
12 days
14 days
Answer: A
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
Choices:
29
17
10
86
Answer: C
Question: The side of a square has the length of 5. What is the area of the region shaded?
Choices:
48-6 π
24+6π
16-5π
64-8π
Answer: C
Question: x - y = 4
2x = 2y + 8
The system of equations above has how many solutions?
Choices:
Exactly one
Exactly two
Exactly three
Infinitely many
Answer: D
Question: A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both spade. Find the probability of the lost card being a spade.
Choices:
10/53
11/50
11/53
12/53
Answer: B
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 15 percent during the third year. What is the value of the account today?
Choices:
$9817.50
$10,500
$11,500
$12,705
Answer: A
Question: Integer d is the product of the integers a,b, and c and 1<a<b<c. If the remainder when 233 is divided by d is 79, what is the value of a+c?
Choices:
9
13
14
18
Answer: B
Question: If 2/X - 2 = 3/X - 3, then X =
Choices:
2/3
-1
1
3/2
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Choices:
100 m
186 m
168 m
150 m
Answer: A
Question: The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
Choices:
120
278
298
271
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
36
40
45
50
Answer: A
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices:
6 min
9 min
4 min
2 min
Answer: A
Question: The speed of a boat in still water is 30 kmph. What is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time?
Choices:
10 kmph
12 kmph
16 kmph
15 kmph
Answer: A
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:8
3:9
3:1
Answer: A
Question: Jill has 21 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
Choices:
6
9
36
14
Answer: C
Question: There are 10 magazines lying on a table; 6 are sports magazines and the other 4 are current affairs magazines. If 4 magazines are to be selected at random from the 10 magazines, what is the probability that at least one of the current affairs magazines will be selected?
Choices:
3/5
4/5
6/5
7/5
Answer: A
Question: 5a=15625. Find 5a-3
Choices:
125
270
778
101
Answer: A
Question: A factory has a fixed cost of $41,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Choices:
14,000
16,400
22,500
27,000
Answer: B
Question: You are renting an apartment and you need √729 for each side, how many feet are you looking to measure?
Choices:
22
23
24
27
Answer: D