antoine-444/aqua_rat_dataset huggingface dataset:
Question: A watch which gains uniformly, is 6 min. slow at 8 o'clock in the morning Sunday and it is 6 min. 48 sec. fast at 8 p.m. on following Sunday. When was it correct?
Choices:
20 min. past 7 p.m.on Wednesday
20 min. past 7 p.m. on Thursday
20 min. past 7 p.m. on Friday
None of these
Answer: A
Question: At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score Q of team B?
Choices:
1)8
3)20
4)40
5)80
Answer: A
Question: If a bus moving at the speed of y km/hr travels a distance of x km, which of the following cannot be equal to the distance traveled?
Choices:
y/2 km
(y-x)/2 km
x/y km
x-y km
Answer: D
Question: What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?
Choices:
4
24.5
20.5
12.5
Answer: C
Question: When is |x-7| = 7-x?
Choices:
x<7
x=7
x<0
x<=7
Answer: D
Question: A machine, working at a constant rate, manufactures 72 staplers in 28 minutes. How many staplers does it make in 1 hr 52 min?
Choices:
262
300
288
250
Answer: C
Question: Virat buys an old car for Rs. 50000 and spends Rs. 2000 on its repairs. If he sells the car for Rs. 62000, his gain percent is:
Choices:
19.23%
12.1 %
12%
None of these
Answer: A
Question: If a, r, and c are consecutive even integers and a < r < c, all of the following must be divisible by 4 EXCEPT
Choices:
r + c
ac
(bc)/2
(abc)/4
Answer: A
Question: An investor bought 200 shares of stock in ABCD company in 1990. By 1992, the investment was worth only 2/3 of its original value. By 1995, the 200 shares were worth only 2/5 of their value in 1990. By what percent did the value of the investment drop from 1992 to 1995?
Choices:
25%
40%
50%
66 2/3%
Answer: B
Question: In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
Choices:
130
145
195
200
Answer: C
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
19 ways
30 ways
76 ways
15 ways
Answer: B
Question: we have two cubes which are joined to each other covering one face of each. and remaining faces of both are colored with the different colors.then the first cube is cut into 8 smaller cubes and another in 27 smaller cubes. what is the total number of faces having no color?
Choices:
142
143
144
145
Answer: D
Question: A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
49 m2
53.5 m2
55 m2
58 m2
Answer: A
Question: HCF of two numbers is 11 and the product of these numbers is 363, what is the the greater number?
Choices:
31
33
35
38
Answer: B
Question: Sony and Johnny caught 25 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?
Choices:
5
34
38
42
Answer: A
Question: Which of the following is closer to (21!+20!)/(21!-20!)?
Choices:
36
25
16
1
Answer: D
Question: if a@b = a * b^(1/2) then 2@16 = ?
self made
Choices:
6
3
8
4
Answer: C
Question: If integers ending in zero are excluded, what is the unit digit of the product of the even integers from 802 to 898, inclusive?
Choices:
12
10
6
8
Answer: C
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?
Choices:
5/9
5/2
5/1
5/6
Answer: A
Question: It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number W?
Choices:
a. 2^96 + 1
c. 2^16 + 1
d. 7 * 2^33
e. 2^64 + 1
Answer: A
Question: There are 20 students with an average height of 105 cms in a class. Then 10 students with an average height of 120 cms join the class. What will be the average height of the class now?
Choices:
110 cms
100 cms
115 cms
130 cms
Answer: A
Question: In how many ways 7 boys and 7 girls can be seated in a row so that boys and girls are alternate?
Choices:
50803200
50003280
50703200
50603200
Answer: A
Question: √{(1.5)(10^9)} is closest to which of the following?
Choices:
20,000
40,000
100,000
200,000
Answer: B
Question: The football association pays $2000 out of $8000 it owes to refrees. Then it pays $6000 out of the $12000 owes for the year to players.
How much did the ratio of payments made to monies owed increase?
Choices:
B)100 %
C)1%
D) 50%
E) 25%
Answer: A
Question: 8 boys complete a work in 14 days . In how many days will 14 boys complete that work?
Choices:
7 days
8 days
6 days
5 days
Answer: B
Question: The side of a square is increased by 20% then how much % does its area increases?
Choices:
44.00 %
48.75 %
50.00 %
40.00 %
Answer: A
Question: A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.
Choices:
877
279
176
291
Answer: C
Question: If the price of a commodity is decreased by 20% and its consumption is increased by 20%, what will be the increase or decrease in expenditure on the commodity?
Choices:
4% decrease
8% increase
8% decrease
None
Answer: A
Question: What is the present worth of Rs. 122 due in 2 years at 5% simple interest per annum?
Choices:
Rs.121.42
Rs. 112
Rs.110.99
Rs.120.99
Answer: C
Question: For any positive integer p, the sum of the first p positive integers equals p(p+1)/2 . If q and p are positive integers and q > p, what is the sum of all the integers between q and p, inclusive?
Choices:
q(q+1)/2 - p(p-1)/2
q(q+1)/2 - p(p+1)/2
q(q+1)/2 + p(p-1)/2
q(p+1)/2 - p(q-1)/2
Answer: A
Question: The average age of applicants for a new job is 31, with a standard deviation of 5. The hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. What is the maximum number of different ages of the applicants?
Choices:
11
15
18
30
Answer: A
Question: In how many different E ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Choices:
288
576
10,080
20,160
Answer: B
Question: 0.999991+0.111119=?
Choices:
1.0001
1.0021
1.11111
1.1111
Answer: C
Question: If c persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Choices:
x
x/y
z/x
y/z
Answer: D
Question: Which of the following inequalities is equivalent to –2 < y< 4 ?
Choices:
| y– 1 | < 3
| y+ 1 | < 3
| y+ 2 | < 4
None of the above
Answer: A
Question: If Suresh distributes his pens in the ratio of 1/2 : 1/4 : 1/5 : 1/7 between his four friends A, B, C and D, then find the total number of pens Suresh should have?
Choices:
153
100
125
135
Answer: A
Question: A tin of oil was 4/5 full. When 6 bottles of oil were taken out and four bottles of oil were poured into it, it was 3/4 full. how many bottles of oil can the tin contain?
Choices:
40
46
36
25
Answer: A
Question: The total number of problems in the mathematics and algebra books is 28 more than the total number of problems in the algebra and geometry books. How much lesser is the number of problems in the geometry book as compared to the mathematics book?
Choices:
18
28
25
32
Answer: B
Question: With both inlets open, a water tank will be filled with water in 20 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
Choices:
1,500
1,750
1,200
1,300
Answer: A
Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.3 km?
Choices:
325 m
300 m
400 m
100 m
Answer: A
Question: Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank ?
Choices:
9 hrs
18 hrs
36 hrs
33 hrs
Answer: C
Question: A merchandise feedback online portal accords ‘ratings’ to a product by recording the percentage of customers who have reported their views as either ‘satisfied’ or ‘unsatisfied’ only. The portal rounds off the exact percentage value calculated to the closest integral value. If the percentage of unsatisfied customers as recorded by the portal is 57%, what is the LEAST possible number of people that could have reported their views as ‘satisfied’ ?
Choices:
3
12
43
57
Answer: A
Question: There are 780 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Choices:
100
125
130
225
Answer: C
Question: Find the odd man out. 742, 743, 633, 581, 871, 990, 532
Choices:
990
581
743
None of these
Answer: B
Question: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 400 miles apart, at what time will the trains pass each other?
Choices:
12:49pm
12:55pm
1:00pm
1:04pm
Answer: D
Question: In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
Choices:
4 balls.
7 balls.
5 balls.
6 balls.
Answer: D
Question: Each employee of Company X is a member of precisely 1 of 3 shifts of employees. Among the 60 members of the first shift, 20 percent participate in the pension program; among the 50 members of the second shift, 40 percent participate in the pension program; and among the 40 members of the third shift, 10 percent participate in the pension program. What percent of the workers at Company X participate in the pension program?
Choices:
24%
36%
37.5%
70%
Answer: A
Question: Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 2/5 of the juniors is equal to 1/3 of the seniors, what fraction of the students in the room are juniors?
Choices:
1/3
5/12
12/17
5/11
Answer: D
Question: A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?
Choices:
21 days
97 days
45 days
97 days
Answer: A
Question: The total of the ages of Jayant,Prem and Saransh is 93 years.Ten years ago,the ratio of their ages was 2:3:4.What is the present age of Saransh ?
Choices:
32 years
34 years
38 years
None of these
Answer: C
Question: A copy machine, working at a constant rate, makes 25 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
Choices:
2,400
4,500
5,400
324,000
Answer: A
Question: 3,7,12,18,25,33,..............7th terms
Choices:
42
63
65
78
Answer: A
Question: Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 24 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
Choices:
72
86
98
101
Answer: D
Question: If a function f is defined by f(x)= (2x-1)/3 for all non zero numbers x. If f(a) = 1 and f(ab) = 1/9 then b= ?
Choices:
1/3
-1/3
-3
-12
Answer: A
Question: A small company reduced its faculty by approximately 13 percent to 263 employees. What was the original number of employees?
Choices:
B)208
C)220
D)224
E)302
Answer: D
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5
881.2
223.1
122.5
Answer: A
Question: A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and 1. What is one possible value of a ?
Choices:
3
4
1
8
Answer: C
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 7?
Choices:
1/16
1/8
1/2
1/4
Answer: A
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
15 liters
10 liters
9 liters
19 liters
Answer: B
Question: Find the remainder R when 12^190 is divided by 1729 ?
Choices:
1
1728
1717
4
Answer: C
Question: The compound interest on Rs.30,000 at 7% per annum is Rs. 4347. The period (in years) is:
Choices:
2
3
4
3 ½
Answer: A
Question: Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $9,000, what is the bonds face value?
Choices:
$6,750
$7,425
$7,200
$9,375
Answer: C
Question: A work which could be finished in 7 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
20
60
71
11
Answer: B
Question: A basket contains 6 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
Choices:
1/2
1/4
1/5
1/6
Answer: A
Question: The number of all possible selections of one or more questions from 10 given questions, each question having one alternative is
Choices:
2 10 – 1
3 10 – 1
2 10
None of these
Answer: B
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
278
245
278
251
Answer: B
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
31292
11392
11750
11729
Answer: C
Question: In one hour,a boat goes 13 km along the stream and 5 km against the stream.The speed of the boat in still water (in km/hr) is :
Choices:
5
8
9
10
Answer: C
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-4)(x+10)(2x-5) = 0?
Choices:
1/6
1/4
1/3
1/2
Answer: B
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 69. What is that number?
Choices:
6
8
7
4
Answer: C
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 75% profit on the first article and 75% loss on second article. Find the net profit or loss percent?
Choices:
768
276
750
279
Answer: C
Question: If the day before yesterday was Thursday, when will Sunday be?
Choices:
Tomorow
Two days after today
Today
none
Answer: A
Question: Ms. Lily sold two properties, X and Y, for $26,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
Choices:
$2166.67
$2326.67
$2426.67
$2526.67
Answer: A
Question: A certain basketball team played seven games and scored an average of 50 points per game. If, in the team’s first five games, it scored 45, 39, 61, 50, and 43 points, what was the average (arithmetic mean) number of points scored over the last two games?
Choices:
81
82
56
Cannot be determined from the information given.
Answer: C
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (11,3), which of the following coordinates would most likely be A's?
Choices:
(10, 6)
(6, 8)
(-10, 3)
(-2, -17)
Answer: C
Question: A student travels from his house to school at 12 km/hr and reaches school 2 hours late. The next day he travels 20 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
Choices:
90
110
120
130
Answer: A
Question: In how many ways can 6 people be seated at a round table if one of those seated cannot sit next to 2 of the other 5?
Choices:
120
108
84
48
Answer: C
Question: 64 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
26
42
28
11
Answer: C
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
200 m
350 m
400 m
300 m
Answer: B
Question: There are 8 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
Choices:
54
55
56
57
Answer: C
Question: Arjun started a business with Rs. 10,000 and is joined afterwards by Anoop with Rs.40, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?
Choices:
4
5
6
9
Answer: D
Question: Of the diplomats who attended a summit conference: 20 spoke Spanish, 32 did not speak Russian and 20% of the diplomats spoke neither Spanish nor Russian. If 10% of the diplomats spoke both Spanish and Russian, then how many diplomats attended the conference?
Choices:
96
108
120
150
Answer: C
Question: If |x^2 − 42| = x, which of the following could be the value of x?
Choices:
–6
2
6
14
Answer: C
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive
Choices:
700
800
900
None of these
Answer: C
Question: What is the rate of simple interest?
I. The total interest earned was Rs. 4000.
II. The sum was invested for 4 years.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: C
Question: Solve This
6 + 7 = 12
8 + 9 = 16
5 + 6 = 10
7 + 8 = 14
Then, 9 + 9 = ??
Choices:
12
17
14
18
Answer: B
Question: A box contains THIRTEEN bulbs out of which 6 are defective. If FIVE bulbs are chosen at random, find the probability that atleast one bulb is good
Choices:
428/421
427/429
456/489
423/127
Answer: B
Question: A is twice as good a workman as B and they took 11 days together to do the work B alone can do it in.
Choices:
12 days
29 days
25 days
33 days
Answer: D
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/7 hours to fill the tank. The leak can drain all the water of the tank in?
Choices:
19 hr
10 hr
24 hr
30 hr
Answer: D
Question: Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
Choices:
38
12
99
73
Answer: B
Question: An illiterate retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the market price. What is the actual profit on the sales?
Choices:
0.125
27.8%
None of the above
Cannot be determined
Answer: A
Question: If the perimeter of a rectangular garden is 680 m, its length when its breadth is 82 m is?
Choices:
899 m
200 m
166 m
258 m
Answer: D
Question: A number when divided by 5, gives 45 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 10
Choices:
A)5
C)4
D)6
E)7
Answer: A
Question: The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 0.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
Choices:
$ 2.00
$ 3.50
$ 4.00
$ 5.00
Answer: A
Question: The circumference of the front wheel of a cart is 40 ft long and that of the back wheel is 48 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel?
Choices:
1200 ft
900 ft
1000 ft
1500 ft
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 11 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
24 years
25 years
26 years
27 years
Answer: D
Question: Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers
Choices:
4
8
12
14
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 6/7%
42 4/7%
42 9/7%
42 6/7%
Answer: A
Question: In a BCCI meeting there are 14 people. All shake hands with each other once. How many handshakes will be there altogether?
Choices:
13
14
19
18
Answer: A
Question: 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choices:
77
68
90
62
Answer: C
Question: In a shower, 4 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Choices:
600 cu. m
750 cu. m
6000 cu. m
7.50 cu. m
Answer: A
Question: One fourth of a solution that was 10 percent sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight ?
Choices:
34%
22%
18%
8.5%
Answer: A
Question: What do you get if you add 5 to 500 five times?
Choices:
510
320
505
509
Answer: C
Question: A man spends 10% of his income in house rent, 20% of the rest on his childrenâ€™s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
Choices:
3600
5000
4000
2000
Answer: A
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
Rs.3120
Rs.3122
Rs.3121
Rs.3122
Answer: A
Question: P and Q began business with Rs.6000 and Rs.9000 after 4 months, P withdraws Rs.2000 and B advances Rs.3000 more.
At the end of the year, their profits amounted to Rs.1175 find the share of Q.
Choices:
625
825
725
850
Answer: B
Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). On a day when the temperature extremes recorded at two different cities differed by 55 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Choices:
b) 13
c) 28
d) 45
e) 81
Answer: B
Question: If 20 ounces of a strong vinegar solution are diluted with 40 ounces of water to form a five-percent vinegar solution, what was the concentration of the original solution?
Choices:
10%
12%
15%
18%
Answer: C
Question: A basket has 6 apples and 4 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
Choices:
1/3
2/3
2/5
3/5
Answer: B
Question: In a ratio which is equal to 3:4, if the antecedent is 12, then the consequent is?
Choices:
16
20
22
25
Answer: A
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 27, then find the smaller number?
Choices:
66
45
88
44
Answer: B
Question: Gordon buys 5 dolls for his 5 nieces. The gifts include two identical S beach dolls, one E, one G, one T doll. If the youngest niece doesn't want the G doll, in how many different ways can he give the gifts
Choices:
48
72
96
120
Answer: A
Question: There are two tanks a and b. A drains water with 6L/m and b drains water with 8L/m. A starts drain water at 9:00 and after 2 minute, b starts draining of water. At what time, both with have same level.
Choices:
9:10
9:08
9:04
9:06
Answer: B
Question: Q is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of Q, and y is the minimum value of the sum of k distinct members of Q, what is x + y?
Choices:
kn + k^2
kn + 2k^2
2kn – k^2
2kn
Answer: D
Question: In an examination 35% of the students passed and 481 failed. How many students appeared for the examination?
Choices:
B)400
C)700
D)740
E)840
Answer: C
Question: In right triangle ABC, AC is the hypotenuse. If AC is 35 and AB + BC = 55, what is the area of the triangle ABC?
Choices:
450
25√2
200
200√2
Answer: A
Question: Due to construction, the speed limit along an 6-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
4
10
15
24
Answer: A
Question: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Elaine, Gale, and Harold?
Choices:
2016
1,512
2,018
2,268
Answer: A
Question: A room is 30 m long and 24 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Choices:
96 m3
960 m3
9600 m3
96000 m3
Answer: C
Question: If the cost price of 60 articles is equal to the selling price of 40 articles, then what is the percent profit?
Choices:
40%
50%
60%
70%
Answer: B
Question: The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly
Choices:
28.78
29.27
29.68
None
Answer: C
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.900 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
14250
26908
11750
22073
Answer: A
Question: The value of 5 in the number 357.21 is
Choices:
5 twenty
5 tens
5 hundreds
none of the above
Answer: B
Question: A WORKS TWICE AS FAST AS B. IF B CAN COMPLETE A WORK IN 6 DAYS INDEPENDENTLY, THE NUMBER OF DAYS IN WHICH A AND B CAN TOGETHER FINISH THE WORK IS:
Choices:
2/1 DAYS
4/3 DAYS
3/2 DAYS
1/2 DAYS
Answer: D
Question: 325,244,180,131 ?
Choices:
43
44
40
95
Answer: D
Question: Balloons are bought at 8 for Rs.10/- and sold at 10 for Rs.8/-. Find the gain or loss percentage?
Choices:
36% Loss
18% Loss
18% Gain
19% Loss
Answer: A
Question: Y and Z walk around a circular track. They start at 5 a.m from the same point in the opposite directions. Y and Z walk at a speed of 3 rounds per hour and 4 rounds per hour respectively. How many times shall they cross each other before 7 a.m
Choices:
15
16
17
18
Answer: D
Question: If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is Q:
Choices:
Q=2
Q=3
Q=4
Q=5
Answer: A
Question: The boat moves downside 50km and upside 10km in 2 hours each. Then find the boat speed in still water?
Choices:
15km/hr
20km/hr
25km/hr
30km/hr
Answer: A
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Choices:
27
26
11
99
Answer: C
Question: if q=0 and k = qr/2 -s, then what is r in terms of k,q,s?
Choices:
2sk/q
2(k-s)/q
2k+sq/q
2(k+s)/q
Answer: D
Question: If k, (k+200), (k+350), and 15*K are all multiples of F, then F could equal which of the following ?
Choices:
F=25
75
100
150
Answer: A
Question: A sum of money is to be distributed among P, Q, and R in the ratio 6:19:7. If R gives Rs. 200 from his share to Q, the ratio of P, Q and R becomes 3:10:3, what is the total sum?
Choices:
Rs. 4800
Rs. 3200
Rs. 7200
data inadequate
Answer: A
Question: The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
Choices:
278
297
176
267
Answer: C
Question: An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 100000 people who applied for the army and 1400 were finally selected, what was the value of N?
Choices:
5
6
8
10
Answer: B
Question: If x=-3, which of the following is(are) true? I. x^2=-|x| II |x|=-x III x/-3 = -1
Choices:
II only
I,II only
I only
III only
Answer: A
Question: A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
Choices:
2/91
1/81
1/91
1/51
Answer: A
Question: A trucking company plans to gradually replace their older fleet of trucks with newer more energy efficient ones. Every year it plans to retire 6 trucks and buy 8 newer ones. How many years starting from 2005 will it take to reduce its fleet of 40 old trucks to less than half its fleet?
Choices:
2
5
6
3
Answer: D
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 35 percent of the pack would be outfielder cards?
Choices:
5
6
7
8
Answer: D
Question: A can do a piece of work in 4 days. B can do it in 15 days. With the assistance of C they completed the work in 24 days. Find in how many days can C alone do it?
Choices:
0.391 days
0.331 days
1.391 days
0.301 days
Answer: A
Question: what is the compound interest on rs:70,000 for 4 months at the rate of 5% per annum
Choices:
1172.98
1173.98
1174.98
1175.98
Answer: B
Question: A bus trip of 660 miles would have taken 1 hour less if the average speed V for the trip had been greater by 5 miles per hour. What was the average speed V, in miles per hour, for the trip?
Choices:
45
50
55
60
Answer: C
Question: A worker's daily wage is increased by 50% and the new wage is $51 per day. What was the worker's daily wage before the increase?
Choices:
$32
$34
$35
$40
Answer: B
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choices:
5552
5550
5528
5598
Answer: B
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 70 ps per meter is?
Choices:
369
175
279
361
Answer: B
Question: The average of five integers is 56, and none of these integers is greater than 100. If the average of three of the integers is 59, what is the least possible value of one of the other two integers?
Choices:
3
20
21
30
Answer: A
Question: The average (arithmetic mean) of seven numbers is 7. If 4 is subtracted from each of three of the numbers, what is the new average?
Choices:
6.3
5.2
7.9
8.3
Answer: B
Question: If y = 30p, and p is prime, what is the greatest common factor of y and 14p, in terms of p?
Choices:
2p
5p
7p
p^2
Answer: A
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
67
108
26
27
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 60 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
32 km/hr.
34 km/hr.
18 km/hr.
12 km/hr.
Answer: C
Question: Find the value for m?
21(m + n) + 21 = 21(-m + n) + 21
Choices:
-1
1
2
3
Answer: B
Question: Excluding the stoppages, the speed of a bus is 48 km/hr and including the stoppages the speed of the bus is 12 km/hr. For how many minutes does the bus stop per hour?
Choices:
45 min
12 min
20 min
18 min
Answer: A
Question: rahul played weel in this season.his current batting averagge is 50.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season.
Choices:
10
9
6
5
Answer: C
Question: If 4x - y = 32 and −x + 2y = 5, then what is the value of 3x + y?
Choices:
37
15
52/7
60/7
Answer: A
Question: Evaluate 2+22+222+2.22
Choices:
268.22
248.21
248.22
268.21
Answer: C
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
8 sec
9 sec
6 sec
1 sec
Answer: C
Question: S = { 1,5,3,7}
T = { 4,5,6,7 }
what is the probability that x chosen from S and y chosen from T will result x*y = even
Choices:
4/5
2/3
1/2
1/6
Answer: C
Question: P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
Choices:
8
12
16
18
Answer: A
Question: In how many different ways can the letters of the word 'APPLE' be arranged?
Choices:
20 ways
30 ways
60 ways
40 ways
Answer: C
Question: A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on
bicycle at 9 km/hr. What is the distance travelled on foot?
Choices:
16 km
12 km
10 km
None of these
Answer: A
Question: 15, 31, 63, 127, 255, ?
Choices:
447
972
532
511
Answer: D
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
Choices:
12
15
17
19
Answer: A
Question: What is the area of a square field whose diagonal of length 24 m?
Choices:
240 sq m
200 sq m
400 sq m
800 sq m
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
16, 4
14, 8
14, 4
14, 1
Answer: C
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:
8
5
3
9
Answer: D
Question: A train 140 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
Choices:
60 kmph
66 kmph
72 kmph
78 kmph
Answer: D
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.756 find the share of A.
Choices:
388
288
277
122
Answer: B
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 6 ounces of corn syrup, how many ounces of water does it contain?
Choices:
30
45
60
90
Answer: D
Question: If a, b, and c are consecutive even positive integers, which of the following could be equal to a + b + c ?
Choices:
200
412
391
612
Answer: D
Question: If |5x-10| = 100, then find the sum of the values of x?
Choices:
-2
3
-3
4
Answer: B
Question: Four packages have an average weight of 11.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 10 pounds?
Choices:
11.5
13
15
16
Answer: D
Question: If log(2a - 3b) = log a - log b, then a =
Choices:
3b2/2b -1
b2/2b + 1
3b2/2b + 1
None of these
Answer: A
Question: A and B start a business with Rs.5000 and Rs.7000 respectively. Hoe should they share their profits at the end of one year?
Choices:
5:7
3:9
5:3
3:2
Answer: A
Question: How many different three-digit multiples of 5 can be composed of digits 2, 3, 4, and 5 if none of the digits is repeated?
Choices:
6
10
12
18
Answer: A
Question: Which of the following is the lowest positive integer that is divisible by 7, 8, 9, 10, and 11?
Choices:
27,720
31,960
33,970
35,890
Answer: A
Question: A sum of money lent out at S.I. amounts to a total of $420 after 2 years and to $595 after a further period of 5 years. What was the initial sum of money that was invested?
Choices:
$320
$330
$340
$350
Answer: D
Question: 5/9 of the part of the population in a villagae are males.if 30 % of the males are married.the percentage of unmarried females in the total population is..
Choices:
250/9%
350/9%
450/9%
550/9%
Answer: A
Question: Find the value of (50+ 20/90) × 90
Choices:
3520
4520
1520
1750
Answer: B
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Choices:
378
200
298
122
Answer: B
Question: A can complete a project in 30 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?
Choices:
19
20
21
22
Answer: B
Question: If a sum of money doubles itself in 5 years at simple interest, the ratepercent per annum is
Choices:
12.5
20
13.5
14
Answer: B
Question: Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 8:30 a.m. and drives north on the same highway at an average speed of 55 km per hour. Mr. Dinkle will
Choices:
overtake Mr. Smitherly at 11:30 a.m.
overtake Mr. Smitherly at 1:30 p.m.
be 30 miles behind at 9:35 a.m.
never overtake Mr. Smitherly
Answer: B
Question: A and B can do a piece of work in 12 days. With the help of C they finish the work in 3 days. C alone can do that piece of work in?
Choices:
2 days
4 days
8 days
40 days
Answer: B
Question: A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Choices:
2C7 * 17C5
2C7 * 10C5
2C9 * 10C5
2C7 * 30C5
Answer: B
Question: In a bag, there are 6 brown, 4 blue and 10 orange pens. One pen is picked up randomly. What is the probability that it is neither brown nor blue?
Choices:
1/5
1/3
1/2
3/4
Answer: C
Question: A and B are walking with 25 kmph and 30 kmph. A is walking towards east and B is towards south. They both started at 7:00 A.M at what time they are 130 metres apart.
Choices:
130m
150m
160m
170m
Answer: A
Question: Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest E?
Choices:
60
62
63
64
Answer: A
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.82. How much was lent at 5%?
Choices:
866
878
800
877
Answer: C
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
23
56
99
87
Answer: C
Question: The sum of all the integers g such that -26 < g < 24 is
Choices:
-2
-25
-49
-51
Answer: C
Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choices:
18
77
62
12
Answer: A
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5 m
150.7 m
98.6 m
95 m
Answer: A
Question: The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
Choices:
1:16
1:8
1:64
2:3
Answer: B
Question: Let f(x) = x^2 + bx + c. If f(4) = 0 and f(-3) = 0, then b + c =
Choices:
15
-13
-21
-24
Answer: B
Question: An accurate clock show 8 o’ clock in the morning. The hour hand then rotates by 90o. The time in the clock is:
Choices:
10 o’ clock
11 o’clock
12 o’clock
8 o’clock
Answer: B
Question: If x is negative and y is positive, which of the following cannot be positive?
Choices:
xy
x/-y
x^2/y
x^4/y
Answer: A
Question: Find large number from below question The difference of two numbers is 1395. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1678
1767
1671
Answer: D
Question: The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $90 per day. What was his wage on the 8th day?
Choices:
$90
$92
$97
$111
Answer: D
Question: There are 6561 balls out of them 1 is heavy. Find the min. no. of times the balls have to be weighedfor finding out the heavy ball.
Choices:
5
6
7
8
Answer: D
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
Choices:
268
208
860
270
Answer: C
Question: A train which has 250 m long, is running 40 kmph. In what time will it cross a person moving at 4 kmph in same direction ?
Choices:
28 sec
29 sec
35 sec
25 sec
Answer: D
Question: If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2015) = ?
Choices:
2016
270
1881
1781
Answer: A
Question: The positive integers y and z leave remainders of 2 and 3, respectively, when divided by 6. y > z. What is the remainder when y– z is divided by 6?
Choices:
2
5
3
4
Answer: B
Question: My watch was correct at noon, after which it started to lose 17 minutes per hour until six hours ago it stopped completely. It now shows the time as 2.52 pm. What time is it now?
Choices:
10 pm
01 am
03 am
09 pm
Answer: A
Question: How many miles is 320km?
Choices:
175miles
200miles
225miles
250miles
Answer: B
Question: Kathleen can paint a room in 3 hours, and Anthony can paint an identical room in 5 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
Choices:
4/3
15/8
9/4
15/4
Answer: D
Question: Which of the following will not be a correct option for b given the equation: b = x/2 + y/2^4 + z/4^3, where x,y and z are each equal to 1 or 0.
Choices:
1/16
9/32
1/32
3/32
Answer: D
Question: Lindsay can paint a room in 8 hours at a constant rate. If Lindsay paints the room for 4 hours and Joseph paints the rest of the room, who works at 1/2 constant rate of Lindsay. How long will it take for Joseph alone to paint the rest of the room?
Choices:
8hrs
10hrs
12hrs
16hrs
Answer: A
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Choices:
1 hour
9 hour
6 hour
2 hour
Answer: A
Question: Series D(n) is such that i*D(i) = j*D(j) for any pair of positive integers (i, j). If D(1) is a positive integer, which of the following is possible?
I. 2*D(100) = D(99) + D(98)
II. D(1) is the only integer in the series
III. The series does not contain negative numbers
Choices:
II only
IIII only
IIIII only
I, IIIII
Answer: C
Question: Product of two co-prime numbers is 117. Their L.C.M should be
Choices:
117
278
767
298
Answer: A
Question: A train 400m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
B)150kmph
C)162kmph
D)149kmph
E)100kmph
Answer: C
Question: In the faculty of Reverse-Engineering, 100 second year students study numeric methods, 300 second year students study automatic control of airborne vehicles and 200 second year students study them both. How many students are there in the faculty if the second year students are approximately 40% of the total?
Choices:
500
600
650
700
Answer: A
Question: When Rahul was born, his father was 35 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 5 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
Choices:
10 years
12 years
9 years
8 years
Answer: B
Question: If (x+3)^2/(3x+65)=2, then the difference between the two possible values of x is:
Choices:
18
20
22
24
Answer: C
Question: By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
9%.
8%.
2%.
3%.
Answer: B
Question: Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 2/3 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?
Choices:
1/16
9/64
5/64
3/64
Answer: A
Question: A man invested Rs. 5050 in 5% stock at 99 and sold it when the price rose to Rs. 101. He invested the sale proceeds in 8% stock at 88. Find the change in man's income if the Brokerage is Rs. 2.
Choices:
160
170
180
190
Answer: D
Question: There are 24 students in Chadâ€™s class. He brought 30 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?
Choices:
1-7
2-8
1-6
3-10
Answer: C
Question: The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Steve and Dinley have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
Choices:
$0.40
$0.45
$0.48
$0.54
Answer: A
Question: 3log3(-5) = ?
Choices:
undentified
3
7
5
Answer: A
Question: Of the five numbers in a sequence, the first term is 5,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
Choices:
4,992
9,975
9,984
10,736
Answer: A
Question: In the first week of last month, Company X realized an average wholesale profit of $4284 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Choices:
$4
$7
$13
$51
Answer: C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20%
10%
80%
90%
Answer: A
Question: Three models (S, T, and P) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model S, 17 cars of Model T, and 15 cars of Model P. What is the maximum number of cars of model S in any showroom ?
Choices:
16
15
14
13
Answer: B
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 950 grams. Find the profit percent.
Choices:
100/23%
100/19%
100/13%
None of these
Answer: B
Question: If the speed of X kilometers per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)
Choices:
6x/5
18x/5
60x
3600000x
Answer: C
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
Choices:
12
77
81
71
Answer: A
Question: In an examination, 300 students appeared. Out of these students; 27 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
Choices:
57
54
99
01
Answer: A
Question: If grapes are 93% water and raisins are 16% water, then how many kilograms did a quantity of raisins, which currently weighs 8 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choices:
96
100
104
108
Answer: A
Question: In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks. It is known that the questions in group A together carry at least 60% of the total marks.
If group B contains 23 questions, then how many questions are there in Group C?
Choices:
1
3
4
5
Answer: A
Question: A person travelled from his house to office at 45km/hr and office to house at 55km/hr. Then find the average speed?
Choices:
49.5km/hr
50km/hr
50.5km/hr
51km/hr
Answer: A
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
Choices:
77
26
96
51
Answer: C