antoine-444/aqua_rat_dataset huggingface dataset:
Question: Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 29 skiers were CPR certified and 35 were not. How many skiers tried out for the ski patrol?
Choices:
50
60
70
80
Answer: D
Question: If the product of two positive integers is 60, which of the following could be the LCM and HCF of the two numbers? a. LCM 10 : HCF 6 b. LCM 30 : HCF 2 c. LCM 15 : HCF 4
Choices:
b only
c only
a,b only
a,c only
Answer: A
Question: Submarine X and Submarine Y are equipped with sonar devices that can operate within a 6,000 yard range. Submarine X remains in place while Submarine Y moves 5,400 yards south from Submarine X. Submarine Y then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine Y continue to move and still be within the sonar range of Submarine X?
I. North
II. South
III. West
Choices:
II only
II, III only
III only
I and III only
Answer: D
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 70 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
36
48
99
12
Answer: A
Question: How many different words can be formed from the word DAUGHTER so that ending and beginning letters are consonants?
Choices:
14400
360
1440
2440
Answer: A
Question: The present population of a town is 1000. Population increase rate is 25% p.a. Find the population of town after 2 years?
Choices:
2000
1563
2153
1245
Answer: B
Question: In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 12 days, working 16 hours a day, the number of men required is:
Choices:
5
6
8
9
Answer: A
Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 121 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Choices:
20
30
40
50
Answer: D
Question: An aeroplane covers a certain distance at a speed of 320 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:
620
820
768
720
Answer: C
Question: A marketing firm determined that, of 200 households surveyed, 80 used neither Brand S nor Brand B soap, 60 used only Brand S soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
Choices:
20
30
40
45
Answer: C
Question: If the radius of a circle that centers at the origin is 5, how many points Q on the circle have integer coordinates?
Choices:
8
12
15
20
Answer: B
Question: ? x 24 = 173 x 240
Choices:
685
865
1730
534
Answer: C
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?
Choices:
14700
14800
14500
None of these
Answer: A
Question: A car is traveling 72 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1200m/min
2560m/min
1670m/min
1890m/min
Answer: A
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ?
Choices:
20 min
50 min
40 min
10 min
Answer: A
Question: ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $50.50. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?
Choices:
$18,900.25
$41,308.50
$51,817.50
$53,624.25
Answer: A
Question: Light glows for every 13 seconds . How many times did it between 1:57:58 and 3:20:47 am
Choices:
382
388
390
None
Answer: A
Question: Anthony and Michael sit on the six-member board of directors for company R. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
Choices:
30%
40%
50%
60%
Answer: B
Question: There are 3 workers in the factory A, B, C. The age of A is 4 more than the age of B and the age of B is 4 more than the age of C. If the sum of the square of the ages is 1202. What is the sum of their ages?
Choices:
55
60
65
70
Answer: B
Question: A painting at an art gallery is framed such that the area of the square frame is 1/3 the area of the painting itself. If the diagonal line connecting corners of the frame has a length of 12, what is the area of the painting inside the frame?
Choices:
20
30
40
54
Answer: D
Question: In the next Cricket World Cup T-20, Team Y has decided to score 200 runs only through 4s and 6s. In how many ways can the Team Y score these 200 runs?
Choices:
15
16
17
18
Answer: C
Question: A river 2m deep and 45 m wide is flowing at the rate of 7 kmph the amount of water that runs into the sea per minute is?
Choices:
4580 M3
10500 M3
4900 M3
4700 M3
Answer: B
Question: After giving a discount of rs.80 the shopkeeper still gets a profit of 10%,if the cost price is rs.200.find the markup %?
Choices:
31%
28%
30%
32%
Answer: A
Question: Rashmi and Rakhi were partners in a business. Rashmi contributed 2/3rd of the capital for 20 months and Rakhi received 3/5th of the total profit. What was the time duration of Rakhi’s investment in the business?
Choices:
60 months
62 months
30 months
67 months
Answer: A
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
Choices:
1764
1768
1762
1761
Answer: A
Question: When two coins are tossed,Find the probability of getting all tails?
Choices:
3/4
1/8
3/8
P(E) =1/4
Answer: D
Question: A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 1 day. For how many number of days should A and C should work together to complete the remaining work ?
Choices:
2/7
3/7
4/7
5/7
Answer: A
Question: The sum of ages of 6 children born at the intervals of 3 years each is 75 years. What is the age of the youngest child?
Choices:
15
6
5
8
Answer: C
Question: The price of copper has steadily declined by 25% for the past 8 months, but analysts predict an increase of 14% in its price in the next 2 months. This will bring its price to $54.What was the price of copper 8 months ago.
Choices:
76.2
63.4
66.6
78.1
Answer: B
Question: Rs. 6000 is lent out in two parts. One part is lent at 5% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
5:5
5:8
5:4
5:2
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 700 grams per kg, what is his percent?
Choices:
42.8%
55%
28%
55%
Answer: A
Question: A van takes 5 hours to cover a distance of 450 km. What speed in kph should the van maintain to cover the same distance in 3/2 of the previous time?
Choices:
60
64
68
72
Answer: A
Question: Find the Compound interest on 16000 at 20% per annum for 9 months.Find Compounded Quarterly?
Choices:
2510
2520
2530
2522
Answer: D
Question: Find the fourth proportional to 1.9,2.3 and 4.8?
Choices:
6.52
5.81
4
6.81
Answer: B
Question: USC invited each South Carolina high school to send up to 39 students
to watch a football game. A section which has 199 seats in each row is
reserved for those students. What is the least number of rows needed to
guarantee that if 2006 students show up, then all students from the same
high school can be seated in the same row?
Choices:
12
13
14
15
Answer: A
Question: If the ratio of a to b is 7 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
Choices:
1/3
2/5
4/5
7/15
Answer: D
Question: 6 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
Choices:
120
160
240
256
Answer: A
Question: A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 200 more than A :
Choices:
7250
2767
1998
5800
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
71/28
91/42
91/33
Answer: A
Question: At 30 minutes past 9 o'clock, what is the angle between the two hands?
Choices:
75
90
105
120
Answer: C
Question: (2^2-1)(2^2+1)(2^4+1)(2^14+1)=
Choices:
2^22 - 1
2^32 - 1
2^128 - 1
2^16(2^16-1)
Answer: A
Question: 2 boxes, 32 black n 31 red balls the probability of getting black ball is maximum the maximum probability is?
Choices:
3/4
1/3
2/3
2/5
Answer: A
Question: The operation is defined for all integers a and b by the equation ab = (a - 1)(b - 1). If y10 = 90, what is the value of y ?
Choices:
12
15
11
20
Answer: C
Question: The cost price of 24 articles is the same as the selling price of x articles. If the profit is 20%, what is x?
Choices:
16
18
20
22
Answer: C
Question: The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
Choices:
19
10
15
17
Answer: A
Question: Select the missing Number from the given Responses
16 4 4
81 3 27
? 25 5
Choices:
125
261
132
156
Answer: A
Question: The volume of a cube is 1331 cc. Find its surface.
Choices:
669
658
624
726
Answer: D
Question: In a garden, there are three blue flowers, three red flowers, three green flowers, and three pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
Choices:
1/55
41/78
12/45
4/8
Answer: A
Question: The tax on a commodity is diminished by 28% but its consumption is increased by 12%. Find the decrease percent in the revenue derived from it?
Choices:
19%
32%
12%
52%
Answer: A
Question: A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price. If the retailer decreases the retail price by 25 percent this will have the same effect as increasing the wholesale price by what percent?
Choices:
37.5
35
44
50
Answer: B
Question: If a particular is never chosen, in how many ways can a cricket player be chosen out of 14 players?
Choices:
66
78
76
68
Answer: B
Question: When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students
Choices:
56
57
58
59
Answer: B
Question: Simplify: (4 – 5) – (13 – 18 + 2).
Choices:
-2
-1
1
2
Answer: D
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units Z digit of (a+2)^2?
Choices:
1
5
6
C. 14
Answer: A
Question: Find the simple interest on Rs. 78000 at 15(2/5) % per annum for 9 months.
Choices:
Rs. 8979
Rs. 8046
Rs. 9009
None of these
Answer: C
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
32:42
32:45
32:40
32:49
Answer: B
Question: A bookseller has two display windows. She plans to display 3 new fiction books in the left window, and 4 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Choices:
72
140
336
144
Answer: D
Question: A company pays 20.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
Choices:
66
18
19
41
Answer: D
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
3%
5%
4%
6%
Answer: C
Question: In an election contested by two parties, Party ADMK secured 24% of the total votes more than Party DMK. If party DMK got 266,000 votes, by how many votes did it lose the election?
Choices:
56,000
164,000
168,000
200,000
Answer: C
Question: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability J that the sum of the three numbers on the balls selected from the box will be odd?
Choices:
3/8
1/2
5/8
3/4
Answer: B
Question: Which one fractions having the highest value?
Choices:
B)23/78
C)23/84
D)23/87
E)46/150
Answer: D
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
27
29
32
34
Answer: A
Question: If x is a positive number and 1/4 the square root of x is equal to 3x, then x =
Choices:
12
1/12
144
1/144
Answer: D
Question: find value for x from given equation? x + 1 = -3
Choices:
x=-4
-3
-5
5
Answer: A
Question: If 25 typists can type 60 letters in 20 minutes, then how many letters will 75 typists working at the same rate complete in 1 hour?
Choices:
540
610
510
500
Answer: A
Question: If (2/5)^n=(5/2)^2, what is the value of n?
Choices:
-2
0
1
2
Answer: A
Question: In one day, Juan sends Keith two times as many messages as he sends Laurence, and Laurence sends Missy 8 times as many messages as he receives from Juan. If Missy received 40 messages from Laurence, how many messages does Keith receive from Juan?
Choices:
10
16
18
56
Answer: A
Question: Last year the range of the annual yield on equal amount of investments in 100 mutual funds was $10,000. If the annual yield this year for each of the 100 mutual funds has improved by 15 percent this year than it was last year, what is the range of the annual yield on mutual funds this year?
Choices:
$13000
$23000
$11500
$33000
Answer: C
Question: Find the least positive integer divisible by each of the integers between 5 through 10 (including 10).
Choices:
380
900
2560
2520
Answer: D
Question: How many diagonals does a 63-sided convex polygon have?
Choices:
1890
3843
3906
1953
Answer: A
Question: Country X taxes each of its citizens an amount equal to 13 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income?
Choices:
$54,000
$64,000
$66,667
$80,000
Answer: A
Question: A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the amount of money that the student earned per day for the 5th day?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
Choices:
(2) $84
(3) $80
(4) $70
(5) $48
Answer: C
Question: A sum of money is put out at compound interest for 2 years at 20%. It would earn Rs.482 more if the interest were paid half-yearly. Calculate the sum.
Choices:
279
279
482
661
Answer: C
Question: A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^12 and 5^11, respectively, what is the value of A?
Choices:
-23(5^12)
-24(5^6)
23(5^12)
24(5^12)
Answer: C
Question: To be considered grade AB, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AB eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AB eggs are used, the shells are all discarded, and no mass is lost in the cooking process?
Choices:
840
864
900
1,080
Answer: A
Question: In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
Choices:
20
216
720
729
Answer: A
Question: Find large number from below question The difference of two numbers is 1360. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1376
1456
1555
1629
Answer: D
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
7 cm
1 cm
4 cm
9 cm
Answer: D
Question: Find the unit's digit in 264 ^102+264^103
Choices:
zero 0
2
4
5
Answer: A
Question: Amit and Sumit started a business with initial investments in the ratio 2 : 3, after some months Sumit withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long Sumit was in the business ?
Choices:
8 months
9 months
5 months
7 months
Answer: D
Question: A boat can move upstream at 15 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
6
7
10
32
Answer: C
Question: There are 12 magazines lying on a table; 6 are fashion magazines and the other 6 are sports magzines. If 5 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
Choices:
521/525
520/525
519/525
517/525
Answer: A
Question: If {g} denote the remainder when 3g is divided by 2 then which of the following is equal to 1 for all positive integers g?
I. {2g+1}
II. {2g}+1
III. 2{g+1}
Choices:
II only
I and II
III only
II and III
Answer: B
Question: One pipe can fill a pool three times faster than a second pipe. When both pipes are opened, they fill the pool in seven hours. How long would it take to fill the pool if only the slower pipe is used?
Choices:
12 hr
15 hr
20 hr
28 hr
Answer: D
Question: If the price of an article went up by 25%, then by what percent should it be brought down to bring it back to its original price?
Choices:
20%
2/1%
1/3%
2/7%
Answer: A
Question: A factory has 500 workers, 16 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?
Choices:
10
25
30
35
Answer: C
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 100 sq cm. Find the area of the square?
Choices:
Cannot be determined
260
120
632
Answer: A
Question: Two trains 119 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.17
7.2
7.15
7.05
Answer: D
Question: A meeting has to be conducted with 5 managers. Find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together.
Choices:
36
45
51
56
Answer: A
Question: A man buys 52 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
Choices:
7.7 %
11.32 %
11.91 %
7.8 %
Answer: C
Question: The total cost of 100 paper plates and 200 paper cups is $7.50 At the same rates what is the total cost of 20 of the plates and 40 of the cups?
Choices:
$1.00
$1.20
$1.50
$1.60
Answer: C
Question: Felix earned 60% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar?
Choices:
9.09%
34%
30.90%
It cannot be determined from the information given.
Answer: C
Question: 2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened tofill the tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Choices:
14 hrs
16 hrs
18 hrs
20 hrs
Answer: B
Question: Find the 25% of Rs. 600.
Choices:
s. 150
s. 100
s. 80
s. 60
Answer: A
Question: Ramu & Sangeetha went for biological analysis to an island which is 34km from their place. They traveled in a boat which went at a speed of 2m/s. when they are in half a distance in the boat Sangeetha noted there are 7 leg & 8 leg octopuses under the water. Ramu counted the total number of legs of octopuses and got 54. Sangeetha instantly said I know how many 7 legged octopuses are there under the water. They both reached the island after 20 min they left. How many seven legged octopuses does Sangeetha calculate?
Choices:
2
6
7
8
Answer: A
Question: How many positive integers E between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
Choices:
16
75
24
26
Answer: D
Question: Find the simple interest on Rs. 3000 at 6 1/4% per year for the period from 4th Feb., 2005 to 18th April, 2005.
Choices:
33.5
35.5
37.5
None of them
Answer: C
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 9 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Choices:
84
545
315
220
Answer: A
Question: r, b, and c are positive integers. If r, b, and c are assembled into the six-digit number rbcrbc, which one of the following must be a factor of rbcrbc?
Choices:
13
5
3
none of the above
Answer: A
Question: What are the maximum value and minimum values of f(x) = |2sin(2x - pi/3) - 5| + 3
Choices:
max 9-min 1
max 10-min 6
max 11-min 5
max 12-min 3
Answer: B
Question: The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
Choices:
14%
94%
11%
54%
Answer: A
Question: A man purchased a grinder for Rs. 320 and sold it at a profit of 10%. The selling price is:
Choices:
Rs. 352
Rs. 684
None of these
Cannot be determined
Answer: A
Question: Stacy was 5 days late returning items to the library. Stacy had checked out 40 books, 2 movies, and 3 magazines. Books are fined $0.25 per day, movies are fined $3.00 per day, and magazines are fined $0.50 per day. What is the average fine per item per day Stacy paid?
Choices:
$0.30
$0.35
$0.40
none of the above
Answer: D
Question: A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every three leaps of the hare, the jackal takes five leaps. Find the ratio of the speed of the hare to the speed of the jackal.
Choices:
4:5
5:8
25:64
3:5
Answer: A
Question: The length of a rectangular floor is more than its breadth by 300%. If Rs. 423 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:
25
26.6m
26
27
Answer: B
Question: What will be the output of the following code statements?
Integer a = 20, b = 30, c = 8 print (a × b / c) – c
Choices:
67
70
26
81
Answer: A
Question: A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
Choices:
72 minutes
62 minutes
32 minutes
42 minutes
Answer: C
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Choices:
144
177
155
121
Answer: A
Question: 18 buckets of water fill a tank when the capacity of each bucket is 60 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 5 litres?
Choices:
216
212
220
210
Answer: A
Question: It takes 4 workers a total of 8 hours to build a giant machine with each worker working at the same rate. If four workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 3:00 PM, at what time will the machine be complete?
Choices:
5:43
6:09
6:22
6:35
Answer: A
Question: The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 40%, then the value of X is ?
Choices:
18
16
8.9
14
Answer: C
Question: What is the value of 4^5+4^7?
Choices:
4^35
17(4^5)
8^12
7(4^5)
Answer: B
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit W on this shipment?
Choices:
b) $115
c) $125
d) $130
e) $135
Answer: B
Question: In the equation x^2+bâ€¢x+c=0, b and c are constants, and x is a variable. If m is a root of x^2+bâ€¢x+c=0, and (x+n) is a factor of x^2+bâ€¢x+c=0, then b=
Choices:
m-n
m+n
n-m
m
Answer: C
Question: A woman sells an article at 5% loss. Had she sold it for Rs.60 more she could have gained 10%. What is the cost price of the article?
Choices:
Rs.400/-
Rs.500/-
Rs.600/-
Rs.650/-
Answer: A
Question: how many internal diagonals does a pentagon (five sided polygon) have?
Choices:
5
9
10
12
Answer: A
Question: A can do a job in 3 days less time than B. A works at it alone for 4 days and then B takes over and completes it. If altogether 14 days were required to finish the job, how many days would each of them take alone to finish it?
Choices:
12 days, 15 days
13 days, 16 days
14 days, 11 days
None of these
Answer: A
Question: The average weight of a group of boys is 20 kg. After a boy of weight 25 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
5.0
6.0
4.0
8.0
Answer: C
Question: A military garrison in a wild frontier has 600 men who have provisions to last 20 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?
Choices:
9 1/3
11 3/3
12 1/2
12 3/4
Answer: A
Question: Two trains of length 60 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
32 sec
17 sec
20 sec
89 sec
Answer: B
Question: Tough and Tricky questions: Functions.
Let a be a positive integer. Let n#a equal n^(2a) . Then (2#3) + (3#2) – (3#3) is equal to
Choices:
82
-584
512
1522
Answer: B
Question: Abby and Bobby type at constant rates of 80 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 500 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby?
Choices:
1:50 PM
2:05 PM
2:10 PM
2:20 PM
Answer: B
Question: How many of the positive divisors of 120 are also multiples of 4 not including 120?
Choices:
4.
5.
7.
8.
Answer: B
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 81 hours and 9 hours respectively. The ratio of their speeds is
Choices:
2 : 3
1 : 3
4 : 5
None
Answer: B
Question: In a group of cows and hens, the number of legs are 20 more than twice the number of heads. The number of cows is
Choices:
7
10
12
14
Answer: B
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
268
215
257
652
Answer: B
Question: A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 40 pints of Perfect Pink paint?
Choices:
16
21
25 1/3
28 1/2
Answer: B
Question: The proportion of the ages of Pooja and Charlie is 2 : 5, After 8 years, their ages will be in the proportion of 1 : 2. Then what is the variance in their current ages?
Choices:
28 years
24 years
19 years
30 years
Answer: B
Question: The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 50 minutes after it was poured was how many degrees Fahrenheit?
Choices:
63.75
80
85
90
Answer: A
Question: A man can row 9 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
9.98
9.06
9.87
9.82
Answer: B
Question: Two employees X and Y are paid a total of Rs. 560 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.254
s.290
s.304
s.380
Answer: A
Question: Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 7 and 13.?
Choices:
65
35
39
91
Answer: D
Question: 1480 men have provisions for 14 days. If 460 more men join them, for how many days will the provisions last now?
Choices:
9.9
12.5
12.2
12.1
Answer: A
Question: Given a certain number (Q), find Q given that 1 is 5% of 25% of Q?
Choices:
80
95
100
110
Answer: A
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
1.2%
5.6%
34.1%
12.2%
Answer: B
Question: The average of six numbers is 3.95. The average of two of them is 3.1, while the average of the other two is 3.85. What is the average of the remaining two numbers?
Choices:
4.6
4.7
4.8
4.9
Answer: D
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5 km
4/9 km
4/1 km
4/3 km
Answer: A
Question: The price of rice falls by 40%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
Choices:
15 kg
25 kg
30 kg
None
Answer: D
Question: Rebecca's annual income is $20,and Jimmy's annual income is $10,. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
Choices:
9
7.77
10
11
Answer: B
Question: How many positive integers arethere from 0 to 1000 that leave a remainder of 3 on division by 7 & a remainder of 2 on division by 4?
Choices:
36
38
42
46
Answer: A
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?
Choices:
5/9
2/9
5/7
1/9
Answer: A
Question: A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of C square inches. Which of the following equations must be true?
Choices:
2W^2 − PW + 2C = 0
2W^2 − PW − 2C = 0
W^2 + PW + C = 0
W^2 − PW + 2C = 0
Answer: A
Question: If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms R in the sequence are smaller than the average
Choices:
6
7
8
9
Answer: B
Question: The cost of an article is decreased by 10%. If the original cost is $60, find the decrease cost.
Choices:
12
68
36
54
Answer: D
Question: A and B started a business with their capitals Rs. 36,000 and 12,000 respectively. Annual profit will be distributed between them in the ratio
Choices:
1:5
2:3
1:3
3:1
Answer: D
Question: Which expression is the greatest?
Choices:
3456/3461
3591/3596
3346/3351
3453/3458
Answer: B
Question: The ratio of spinsters to cats is 2 to 9. If there are 63 more cats than spinsters, how many spinsters are there?
Choices:
12
14
16
18
Answer: D
Question: If the mode of Set D is equal to the median of Set D, Set D could be
Choices:
[2, 2, 5, 7, 9]
[x, x+1, x+2, x+2, x+3, x+3]
[10, 102, 105, 105]
[4, 7, 10, 11, 25/2, 13, 13, 17, 29, 51, 51, 51]
Answer: B
Question: The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 5 type B widgets is equal to the weight of 7 type C widgets. What is the ratio of the total weight of 1 type A widget and 1 type B widget, to the total weight of 1 type B widget and 1 type C widget?
Choices:
2:3
3:4
4:5
5:6
Answer: B
Question: If x and y are different integers and x^2 = xy, which of the following must be true ?
I. y = 0
II. x = 0
III. x = -y
Choices:
II only
III only
I and III only
I, II, and III
Answer: A
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 36 sec. The length of each train is?
Choices:
50
26
28
27
Answer: A
Question: A man can row with a speed of 40 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is?
Choices:
48
32
82
34
Answer: A
Question: In a race, Mohan beats Sohan by 40m and Sohan beats Rohan by 80m. Mohan beats Rohan by 104m. Find the length of the race (in m).
Choices:
100
150
200
250
Answer: C
Question: Increasing the original price of a certain item by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by what percent?
Choices:
37.5
30.0
32.75
32.25
Answer: D
Question: 80 is what percent of 160?
Choices:
40%
45%
50%
55%
Answer: C
Question: In a business, A and C invested amounts in the ratio 2 : 1, and B also invest some amount . If Rs 180000 was their profit, B receive 48000, what was the investment ratio between A and B?
Choices:
4 : 9
7 : 11
4 : 7
None of these
Answer: A
Question: If (1/2)^16 (1/81)^k = 1/18^16, then k =
Choices:
8
16
24
36
Answer: A
Question: If log	a/b	+	log	b/a= log (a + b), then:
Choices:
a + b = 1
a = b
a2 - b2 = 1
None of these
Answer: A
Question: Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=2/3, what is the ratio of rectangle A’s area to rectangle B’s area?
Choices:
4/9
3/2
9/2
9/4
Answer: A
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
3/42
9/42
7/41
7/40
Answer: B
Question: Seven carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if six of the carpenters work together at their respective rates ?
Choices:
3/5
11/30
47/70
5/9
Answer: C
Question: If f(a)=6a+6, what is the value of (f(2a)+f(a)) ?
Choices:
8a-7
10a+12
12a+12
3a+5
Answer: B
Question: If x = 6 and y = −2, what is the value of (x − 2y)^y?
Choices:
0.01
0.25
4
8
Answer: A
Question: Ted’s score was in the 80th percentile out of 200 students in one class. In another class of 100 students there were 15 scores higher than ted’s. If nobody had Ted’s score, then Ted’s was what percentile of the two classes combined?
Choices:
84
82
80
78
Answer: D
Question: Twenty people at a meeting were born during the month of September, which has 30 days. The probability that at least two of the people in the room share the same birthday is closest to which of the following?
Choices:
33%
67%
90%
99%
Answer: D
Question: An aeroplane covers a certain distance at a speed of 120 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:
520
820
740
720
Answer: A
Question: A person was asked to state his age in years. His reply was , "Take my age 5 years hence, multiply it by 3 and subtract 3 times my age 5 years ago and you will know how old I am." What was the age of the person ?
Choices:
92
27
26
30
Answer: D
Question: A boy needs to deliver three different newspaper to three different house. The problem is that he doesn't know which newspaper belong to which house. Find the probability that the boy only got one house with the wrong newspaper.
Choices:
0
2/3
4/27
1/27
Answer: A
Question: Find the total number of prime factors in the expression (4)^11 x (7)^7 x (11)^2
Choices:
31
25
27
29
Answer: A
Question: If ‘n‘ integers taken at random and multiplied together, then what is the probability that the last digit of the product is 1, 3, 7 or 9 ?
Choices:
(2/5)^n
(3/5)^n
(4/5)^n
(6/5)^n
Answer: A
Question: A man sold 18 toys for Rs. 18900, gaining thereby the cost price of 3 toy find the cost price of a toy
Choices:
s. 800
s.500
s.900
s. 990
Answer: C
Question: the sum of the ages of 5 children born at the intervals of 3 year each is 40 year. what is the age of the eldest child ?
Choices:
14 year
10 year
None of these
9 year
Answer: A
Question: Joan took out a mortgage from hel local bank. Each monthly mortgage payment she makes must be triple the amount of the previous month's payment. If her first payment is $100, and the total amount she must pay back is $914800, how many months will it take Joan to pay back her mortgage?
Choices:
8
10
9
13
Answer: C
Question: If A and B get profits of Rs.18,000 and Rs.15,000 respectively at the end of year then ratio of their investments are
Choices:
6 : 5
3:2
2:3
2:5
Answer: A
Question: The value of P, when 4864 x 9P2 is divisible by 12, is
Choices:
5
8
NOne of these
Cannot be determined
Answer: C
Question: Nine men went to a theater. Eight of them spent Rs.3 each over their tickets and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
Choices:
29.25
31
31.23
32
Answer: A
Question: which of the following inequalities indicates the set of all values of d for which the lengths E of the three sides of a triangle can be 3,4, and d?
Choices:
0<d<5
0<d<7
1<d<5
1<d<7
Answer: D
Question: A family consists of two grandparents, two 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:
222/7years
225/7years
245/7years
None of these
Answer: A
Question: Two fair die with sides numbered 1 to 6 are tossed. What is the probability that the sum of the exposed faces on the die is a prime number?
Choices:
5/11!
5/9!
15/21!
4/9!
Answer: A
Question: From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 9, what is the probability that the 2 numbers included the number 5?
Choices:
1/2
3/10
3/5
1/4
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20
88
77
11
Answer: A
Question: Mike's age is 57 years. If he is 5 more than twice the age of his son, find the age of his son.
Choices:
26 years
16 years
18 years
19 years
Answer: A
Question: Subtracting 2% of A from A is equivalent to multiplying A by how much ?
Choices:
0.98
0.094
94
None
Answer: A
Question: P, Q, R, S and T are five speakers who have to speak on a particular day, not necessarily in the same order. R is neither the first nor the last speaker. There are three speakers after S and three speakers ahead of T. If P speaks after Q, then who is the last speaker to speak?
Choices:
T
P
Q
Cannot be determined.
Answer: B
Question: A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by e meteres, What is the area of the rug in square meters?
Choices:
mn – 2p(m+n)
mn – p^2
(m - p)(n - p)
(m - 2p)(e - 2p)
Answer: D
Question: A charity collected $4,199 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have?
Choices:
209
200
250
215
Answer: A
Question: Tanaka and Sam worked all summer mowing lawns to earn money for college. They combined what they made everyday and at the end of summer they split all of their earnings evenly (50/50) between themselves. If Sam earned an even number of dollars, and the product of Tanaka and Sam's earnings is an even number, then which of the following is true?
Choices:
Tanaka made $306.
Tanaka made $333.
Tanaka made $666.
Tanaka made $500.
Answer: B
Question: x men working x hours per day can do x units of a work in xx days. How much work can be completed by y men working y hours per day in y days?
Choices:
y3/x2 units
x3/y2 units
y2/x2 units
None
Answer: A
Question: Max planned to buy bike, sales man advised him to buy within this month, If he purchase next month means State Tax will be increasing 10% than its cost and it would be 82500. What is the bike's Selling price in this month
Choices:
73000
75000
77000
79000
Answer: B
Question: Which one of the following numbers is exactly divisible by 11?
Choices:
A)11
C)14
D)15
E)16
Answer: A
Question: If two of the four expressions x + y , x + 3y , x - y , and 3x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer?
Choices:
1/6
1/5
1/3
1/4
Answer: A
Question: Which is the smallest no which divides 2880 and gives a perfect square?
Choices:
9
3
5
7
Answer: C
Question: A and B together can complete a piece of work in 6 days. B and C can complete the same work in 8 days.A and C can finish it in 12 days. If they all work together, how long it will take to finish the work
Choices:
48/9 days
68/9 days
78/9 days
88/9 days
Answer: A
Question: If k, m, and n are consecutive integers such that k > m > n and the sum of k, m, and n is a multiple of 10, which of the following could be the value of k?
Choices:
1
9
10
12
Answer: A
Question: If the cost price is 90% of sp then what is the profit %
Choices:
1.11%
1.15%
1.17%
1.27%
Answer: A
Question: The sum of ages of 5 girls born at the intervals of 3 years each is 70 years. What is the age of the youngest girl?
Choices:
years
years
years
years
Answer: A
Question: There is a five digit code consist of letters and digit. the code can have one digit from 1,2,3 and any four letters from A,b,c,d,e. first and last code must be a letter and all letters can be repeated. How many combinations can be possible?
Choices:
3840
5625
11,520
11,620
Answer: B
Question: If apples cost x dollars per m dozen, how many dollars will it cost to buy n apples?
Choices:
xn/(12m) dollars
m/(xn)
12m/(xn)
12mn/x
Answer: A
Question: What is the next number of the following sequence
1,2,3,5,8,13,?
Choices:
21
20
24
28
Answer: A
Question: A child must place 3 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
Choices:
6^4
4^6
4^3
6^4-4^6
Answer: C
Question: The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Choices:
14
16
18
21
Answer: B
Question: A boat goes 8 km upstream in 24 minutes. The speed of stream is 4 km/hr. The speed of boat in still water is:
Choices:
24 km/hr
27 km/hr
25 km/hr
26 km/hr
Answer: A
Question: The sale price sarees listed for Rs.500 after successive discount is 10% and 5% is?
Choices:
427.5
342
882
212
Answer: A
Question: A merchant has 1000kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is
Choices:
600
277
188
112
Answer: A
Question: Larry, Michael, and Doug have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?
Choices:
21
120
504
5040
Answer: A
Question: A class has three girls and three boys. These students line up at random, one after another.
What is the probability that no boy is right next to another boy, and no girl is right next to
another girl?
Choices:
1 /12
1 /10
3 /10
1 /2
Answer: B
Question: In an examination 35% of the students passed and 260 failed. How many students appeared for the examination?
Choices:
B)400
C)700
D)650
E)840
Answer: A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2000
8122
2888
2211
Answer: A
Question: In a fuel station the service costs $2.20 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 3 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?
Choices:
$344.60
$347.70
$350.80
$353.90
Answer: B
Question: GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then DAB?
Choices:
21
22
23
24
Answer: A
Question: A family has a man, his wife, their four sons and their wives and one daughter. The family of every son also has 3 sons and one daughter. Find out the total number of female members in the family ?
Choices:
10
12
16
13
Answer: A
Question: In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards M will he need to gain this Sunday if he wants to keep his season average above 100 yards?
Choices:
116
M=130
M=131
M=141
Answer: C
Question: At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:4:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
Choices:
40%
55%
50%
70%
Answer: C
Question: Two trains 121 meters and 153 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
6.8
7.2
7.15
7.11
Answer: A
Question: A profit of Rs. 500 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
Choices:
Rs. 100
Rs. 300
Rs. 50
Rs. 90
Answer: A
Question: How many prime numbers are between 76/8 and 124/5?
Choices:
2
3
4
5
Answer: D
Question: The following sets each have a mean of 8 and the standard deviations are given in variable form.
Set I = {8, 8, 8, 8, 8, 8}, standard deviation = A
Set II = {2, 2, 2, 14, 14, 14}, standard deviation = B
Set III = {5, 6, 7, 9, 10, 11}, standard deviation = C
Rank these three standard deviations from least to greatest.
Choices:
B, C, A
C, A, B
C, B, A
A, C, B
Answer: D
Question: 33 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
Choices:
88 m
42 m
137 m
None
Answer: B
Question: If the President and Vice President must sit next to each other in a row with 3 other members of the Board, how many different seating arrangements are possible?
Choices:
48
300
360
720
Answer: A
Question: Tickets numbered from 1 to 24 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3?
Choices:
1/3
3/10
3/7
1/7
Answer: A
Question: 25 is a perfect square and x is also a perfect square. when x is added to 25 and 1 is substrate from it will give an answer which is also a perfect square. then what is the square root of x?
Choices:
2
3
5
4
Answer: C
Question: The average height of the four Torres towers is 800 feet. If the four Torres towers have a median height of 900 feet, what is the greatest possible height of the shortest building of the four?
Choices:
300 feet
500 feet
600 feet
800 feet
Answer: B
Question: The L.C.M of 2/3, 3/ 5, 4/7, 9/13 is :
Choices:
28
36
42
32
Answer: B
Question: 49, 98, 686, 1372....
Choices:
8711
9279
9604
9086
Answer: C
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
Rs. 12,000
Rs. 30,000
Rs. 40,000
Rs. 50,000
Answer: A
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
98
30
28
37
Answer: B
Question: If an article is bought at a profit of 15% and sold at a loss of 15% what is my total profit percent or loss percent?
Choices:
2.25
3.25
4.25
5.25
Answer: A
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, A receives?
Choices:
14700
23877
27297
17281
Answer: A