antoine-444/aqua_rat_dataset huggingface dataset:
Question: Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 60 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
Choices:
72
132
144
180
Answer: D
Question: The sum of two numbers is 40 and their product is 350. What will be the sum of their reciprocals?
Choices:
4/35
75/4
75/8
75/6
Answer: A
Question: A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:
Choices:
Rs.60
Rs.80
Rs.90
Rs.100
Answer: B
Question: If p/q = 3/5 , then 2p+q= ?
Choices:
11
13
15
16
Answer: A
Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choices:
277
266
992
188
Answer: C
Question: The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
Choices:
39
75
48
Either (a) or (b)
Answer: D
Question: X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
Choices:
60
26
66
281
Answer: A
Question: What number has a 5:1 ratio to the number 10?
Choices:
50
76
56
62
Answer: A
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
99
88
61
Answer: A
Question: How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
6
8
10
Answer: A
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
10
14
12
11
Answer: C
Question: From a total of 4 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
Choices:
36
60
120
240
Answer: A
Question: A train 650 m long is running at a speed of 81 km/hr. In what time will it pass a bridge 340 m long?
Choices:
43
44
45
46
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 20% less than the price each head sold for the day before.what was the gross profit on this shipment?
Choices:
$100
$125
$130
$135
Answer: A
Question: A man started a business investing Rs.70,000. Rakhi joined him after six months with an amount of Rs.1,05,000 and Sagar joined them with Rs.1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Choices:
12 : 15 : 16
42 : 45 : 56
cannot be determined
None
Answer: A
Question: The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Choices:
X/Y.
Y/X.
1/(X+Y).
1/(X-Y).
Answer: A
Question: In how many different number of ways 8 boys and 3 girls can sit on a shopa which can accommodate 4 persons?
Choices:
7800
5200
6400
None
Answer: D
Question: Marts income is 30 percent more than Tims income and Tims income is 40 percent less than Juans income. What percentage of Juans income is Marts income
Choices:
b) 120 %
c) 78 %
d) 80 %
e) 64 %
Answer: B
Question: On a map, 1 inch represents 28 miles. How many X XXinches would be necessary to represent a distance of 383.6 miles?
Choices:
7.4
13.7
21.2
28.7
Answer: B
Question: There are 6 people and 6 chairs. In how many different ways people can occupy the chairs?
Choices:
15
720
36
120
Answer: B
Question: When two coins are tossed, Find the probability of getting all t ails?
Choices:
3/4
1/8
3/8
P(E) =1/4
Answer: D
Question: A, B and C start swimming in a pool simultaneously from the same end. To complete 12 laps, A takes 10 minutes, B takes 8 minutes and C takes 6 minutes. What is the ratio of speeds A:B:C?
Choices:
10:15:20
5:4:3
4:6:5
12:15:25
Answer: A
Question: A woman complete a journey in 15 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
336 km.
314 km.
224 km.
544 km.
Answer: A
Question: P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in
Choices:
25 days
20 days
15 days
10days
Answer: A
Question: How many three digit numbers V greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
Choices:
72
120
96
76
Answer: A
Question: Raju age after 55 years will be 5 times his age 5 years back, What is the present age of Raju
Choices:
17
10
77
20
Answer: D
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 20 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
98
60
88
24
Answer: D
Question: The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter?
Choices:
16500
22898
12929
12091
Answer: A
Question: What is the average of 120, 130, 140, 510, 520, 530, 1115, 1120, and 1125?
Choices:
551
601
590
721
Answer: C
Question: The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 9 and 39 inclusive.
Choices:
384
410
424
450
Answer: A
Question: SAKSHI CAN DO A PIECE OF WORK IN 20 DAYS. TANYA IS 25% MORE EFFICIENT THAN SAKSHI. THE NUMBER OF DAYS TAKEN BY TANYA TO DO THE SAME PIECE OF WORK IS:
Choices:
16
18
25
NONE OF THESE
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
37/13 hours
80/13 hours
12/5 hours
30/43 hours
Answer: C
Question: A tin of oil was 4/5full.when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?
Choices:
40
60
80
90
Answer: A
Question: A can complete the job in 2 hours and B can complete the same job in 4 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
Choices:
1/6
1/2
5/6
8/9
Answer: A
Question: At the end of a business conference the 20 people present all shake hands with each other once. How many handshakes will there be altogether ?
Choices:
45
55
190
95
Answer: C
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 6 pumps work to empty the tank in 1 day?
Choices:
8
11
12
13
Answer: A
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is:
Choices:
299
322
345
395
Answer: C
Question: If x*y = xy – 2(x + y) for all integers x and y, then 4* (–3) =
Choices:
–14
–4
4
16
Answer: A
Question: one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 72 workers in the Palabras bookstore, how many of them have read both books?
Choices:
12
9
8
4
Answer: D
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
Choices:
$ 320,000
$ 360,000
$ 450,000
$ 540,000
Answer: A
Question: The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 4 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
Choices:
3 : 10 : 10
9 : 14 : 25
32 : 35 : 25
None of these
Answer: B
Question: A car finishes a journey in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?
Choices:
10 km/hr
12 km/hr
16 km/hr
None of these
Answer: D
Question: If Q is the least common multiple of 90,196, and 300, which of the following is NOT a factor of Q?
Choices:
600
900
2,100
4,900
Answer: A
Question: Rectangular Floors X and Y have equal area. If Floor X is 10 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
Choices:
20
18 3/4
21
24
Answer: A
Question: The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit L on the height of vehicles that are allowed to use the tunnel?
Choices:
7½ ft
8 ½ ft
9½ ft
10 ft
Answer: A
Question: X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (Y + X) is an odd number.
2. Y^(X + Y) is an integer.
3. X^Y is a positive number.
Choices:
3 only.
1 only.
2 and 3 only.
1, 2 and 3.
Answer: B
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 40 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?
Choices:
20
30
40
50
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 80 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
24
36
37
38
Answer: A
Question: How many multiples of 4 are there between 4 and 64 ?
Choices:
64
14
16
60
Answer: B
Question: The simple form of the ratio 2/3:2/5 is?
Choices:
5:5
5:9
5:3
5:1
Answer: C
Question: A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 6 km per hour and the level part at the rate of 9 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 9 km per hour for the entire route?
Choices:
15
18
21
24
Answer: B
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 9 days, then C alone can do it in?
Choices:
17
18
19
16
Answer: B
Question: Submarine M and Submarine N are equipped with sonar devices that can operate within a 4,000 yard range. Submarine M remains in place while Submarine N moves 3,700 yards south from Submarine M. Submarine N then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine N continue to move and still be within the sonar range of Submarine M? I. North II. South III. West
Choices:
II,III only
II only
I and III only
III only
Answer: C
Question: In a garden, there are yellow and green flowers which are straight and curved. If the probability of picking a green flower is 1/8 and picking a straight flower is 1/2, then what is the probability of picking a flower which is yellow and straight
Choices:
1/8
1/4
3/4
4/9
Answer: D
Question: A vessel contains a 105 ml mixture of milk and water. 3/7 of the mixture is alcohol, the remainder is water. An additional quantity of 105 ml of milk is poured into the mixture. What is the ratio of the volume of milk to water in the new mixture?
Choices:
3:4
5:2
1:1
2:5
Answer: B
Question: An investor bought two shares of stock, which he sold for $84 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
Choices:
a profit of $7
a loss of $7
a loss of $10
neither a profit nor a loss
Answer: B
Question: A = {2, 3, 5, 7, 11}
B = {2, 4, 6, 15}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
Choices:
16
19
20
36
Answer: C
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
4/9
4/1
4/2
4/3
Answer: A
Question: A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ?
Choices:
Rs. 316
Rs. 154
Rs. 294
Rs. 200
Answer: A
Question: What is the average of four tenths and five thousandths?
Choices:
2502
0.225
0.2025
0.02025
Answer: C
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age six years back was?
Choices:
13yr
20yr
25yr
30yr
Answer: A
Question: A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?
Choices:
144
278
126
112
Answer: A
Question: If a, b, and c are integers and ab^2/c is a positive even integer, which of the following must be true?
I. ab is even
II. ab > 0
III. c is even
Choices:
I only
I and II
I and III
I, II, and III
Answer: A
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 5 cubic feet. If a large block has three times the width, twice the depth, and half the length of a normal block, what is the volume of cheese in a large block in cubic feet?
Choices:
30
15
20
25
Answer: B
Question: Carol spends 1/4 of her savings on a stereo and 1/2 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
Choices:
2/7
5/12
3/8
7/12
Answer: C
Question: A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1551, What is the value of n?
Choices:
38
62
94
672
Answer: C
Question: If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ?
Choices:
Rs. 325
Rs. 340
Rs. 260
Rs. 230
Answer: B
Question: It takes Joey the postman 1 hours to run a 7 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?
Choices:
12
13
8
15
Answer: C
Question: Each Machine of type A has 2 steel parts and 2 chrome parts. Each machine of type B has 6 steel parts and 5 chrome parts. If a certain group of type A and type B machines has a total of 20 steel parts and 22 chrome parts, how many machines are in the group
Choices:
3
4
6
7
Answer: D
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Choices:
30%
50%
60%
70%
Answer: B
Question: Find the sum and number of divisors of 544 excluding 1 and 544.
Choices:
589
618
659
648
Answer: A
Question: A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability Q of generating an odd prime digit is between
Choices:
1/6 and 1/3
1/3 and 1/2
1/2 and 2/3
2/3 and 5/6
Answer: A
Question: In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?
Choices:
4 sec
5 sec
6 sec
7 sec
Answer: B
Question: In covering a distance of 40 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choices:
6.7 km/h
10 km/h
15 km/h
20 km/h
Answer: A
Question: A car travelling with 5/7 km of its actual speed covers 42km in 1hr 40 min 48 sec find the actual speed of the car?
Choices:
85kmph
35kmph
24kmph
74kmph
Answer: B
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 68?
Choices:
69
138
68^2
68·69
Answer: B
Question: Ms. Barton has four children. You are told correctly that she has at least two girls but you are not told which two of her four children are those girls. What is the probability that she also has two boys? (Assume that the probability of having a boy is the same as the probability of having a girl.
Choices:
3/8
5/11
1/2
6/11
Answer: D
Question: What was the principal , if at 12% per annum the interest after 3 years amounted to Rs.5888 less than the sum lent?
Choices:
3000
5000
1300
9200
Answer: D
Question: For one toss of a certain coin, the probability that the outcome is heads is 0.4. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
Choices:
2(0.4)^4
3(0.4)^4
4(0.4)^4(0.6) + (0.4)^5
5(0.4)^4(0.6) + (0.4)^5
Answer: D
Question: For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 60 color copies at Print Shop Y than at Print Shop X?
Choices:
$90
$100
$110
$120
Answer: A
Question: A box contains 3 white balls, 2 black balls and 6 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw?
Choices:
69
73
47
81
Answer: D
Question: Calculate the circumference of a circular field whose radius is 8 centimeters.
Choices:
18 π cm
8 π cm
19 π cm
28 π cm
Answer: A
Question: A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the president?
Choices:
1/5
1/10
1/9
1/6
Answer: A
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of Qis?
Choices:
B)Rs.6100
C)Rs.4029
D)Rs.4027
E)Rs.4020
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
Choices:
27
17.3
121
28
Answer: B
Question: The sum of five numbers is 400. The average of the first two numbers is 50 and the third number is 60. Find the average of the two numbers?
Choices:
65
85
80
90
Answer: C
Question: A man buys a cycle for Rs. 2300 and sells it at a loss of 30%. What is the selling price of the cycle?
Choices:
s. 1610
s. 1890
s. 1602
s. 1092
Answer: A
Question: How many 7 in between 1 to 120?
Choices:
20
22
23
24
Answer: B
Question: If log X/2=log Y/3 = log Z/5, then YZ in terms of X is
Choices:
X2
X3
X4
None of these
Answer: C
Question: How many times are the hands of a clock at right angle in a day?
Choices:
24
44
48
52
Answer: B
Question: A cask full of milk,'E' liters is removed and water is mixed. This process is repeated and now the ratio in milk to water is 16:9. Then what is the amount of milk in liter.
Choices:
9E
5E
8E
cant be determined
Answer: B
Question: The value of log 5 (1/125) is:
Choices:
-3
1/3
-1/3
none of these
Answer: A
Question: Find the one which does not belong to that group?
Choices:
36
27
64
4
Answer: B
Question: 4,25,49,121
Choices:
169
189
209
219
Answer: A
Question: Amy has two decks of 56 cards each: Deck 1 and Deck 2. She takes 8 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what is the probability that Amy picks a black king or a red Jack from the new pack?
Choices:
1/8
1/9
1/10
1/13
Answer: D
Question: A certain barrel, which is a right circular cylinder, is filled to capacity with 60 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
Choices:
100 gallons
300 gallons
420 gallons
840 gallons
Answer: C
Question: The length of a bridge in meters, which a train 80-meters long and traveling at 45 km/hr can cross in 30 seconds is?
Choices:
235
255
275
295
Answer: D
Question: Which of the following is the highest fraction?
Choices:
3⁄4
2⁄3
6⁄7
7⁄8
Answer: D
Question: People spend an estimated $75 at the zoo every day, and the total estimated amount for bills every month for the nearest zoo is $200,000. To pay its bills, how many people need to be attending the zoo on a weekly basis? The amount of people needs to be rounded to whole numbers, and a month typically has 4 full weeks.
Choices:
667
669
670
665
Answer: A
Question: There are 6 people in the elevator. Their average weight is 156 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.
Choices:
121
189
190
200
Answer: A
Question: In how many ways can 4 boys and 3 girls sit around a table in such a way that no two girls sit together?
Choices:
144
155
180
190
Answer: A
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 40°C, what is the temperature of the pot of water in °F?
Choices:
92 °F
96 °F
99 °F
104 °F
Answer: D
Question: Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 10 laps around the track per hour and Nick completes 5 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
Choices:
48
12
15
20
Answer: A
Question: When x dividedby 288, the remainder is 47. Find the remainder when the same x is divided by 24?
Choices:
23
25
27
29
Answer: A
Question: A car covers a distance of 636 km in 6 ½ hours. Find its speed?
Choices:
176 kmph
298 kmph
106 kmph
268 kmph
Answer: C
Question: If the sum of the interior angles of a regular polygon measures up to 1260 degrees, then how many sides does the polygon have?
Choices:
9
12
11
14
Answer: A
Question: The probability of pulling a black ball out of a glass jar is 1/Q. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Choices:
Q/Y
Y/X
1/(X+Y)
1/(X-Y)
Answer: A
Question: A cistern can be filled by 3 pipes in 30, 40 and 60 min and emptied by an escape pipe in half an hour the 3 taps are turned on at noon but the escape pipe is at the same time accidentally left open and not closed for a quarter of an hour at what time will the cistern be full?
Choices:
90 min
120 min
150 min
170 min
Answer: B
Question: The factorial expression 13!/7! is not divisible by which of the following integers?
Choices:
5
6
7
9
Answer: C
Question: Rahul travels from A to B a distance of 200 miles in 5 hours. He returns to A in 4 hours. Find his average speed?
Choices:
61.9mph
44.4mph
35.7mph
65.6mph
Answer: B
Question: Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
Choices:
1/2.
3.
2.
6.
Answer: B
Question: The function f is defined for all the positive integers h by the following rule: f(h) is the number of positive integers each of which is less than h and has no positive factor in common with h other than 1 . if p is a prime number then f(p)?
Choices:
p-1
(p+1)/2
(p-1)/2
2
Answer: A
Question: In 24 minutes, the hour hand of a clock moves through an angle of:
Choices:
24°
12°
5°
None
Answer: B
Question: A copying machine "P" can copy 135 pages in 9 minutes, P and Q together can copy 300 pages in 12 minutes. In what time Q can copy 80 pages?
Choices:
7 minute
9 minute
8 minute
10 minute
Answer: C
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
Choices:
2:5
6"2
3:1
4:7
Answer: C
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
27
30
98
287
Answer: B
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
Choices:
8!
9!
11!
12!
Answer: A
Question: If x^2 > x^7> x^5, which of the following could be the value of x?
Choices:
-2
-5/8
5
9
Answer: B
Question: Carrie likes to buy t-shirts at the local clothing store. They cost $8.55 each. One day, she bought 9 t-shirts. How much money did she spend?
Choices:
$248.75
$200
$171.6
$73.1025
Answer: D
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
Choices:
28%
32%
34%
36%
Answer: A
Question: In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 37 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
Choices:
36
24
38
47
Answer: A
Question: There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of sections A is 40 kg and that of sections b is 35 kg. Find the average weight of the whole class
Choices:
37.25
38.35
39.25
None
Answer: A
Question: Few years ago on 31st January on her 26th birthday a lady laid a baby. Now what's the sum of their ages?
Choices:
38
43
51
52
Answer: A
Question: 5,9,16,28,48,__
Choices:
80
81
82
83
Answer: B
Question: Vikas bought a grinder with 15% discount on the labelled price. He sold the grinder for Rs.2880 with 20% profit on the labelled price. At what price did he buy the grinder?
Choices:
Rs 2040
Rs 2240
Rs 2400
None of these
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 8/9%
11 1/9%
19 1/9%
11 1/1%
Answer: B
Question: It took Malcom 3.5 hours to drive from city A to city B. On his way back to city A, he increased his speed by 20 km per hour and it took him 3 hours.
Find the average speed for the whole journey.
Choices:
129.2 km/hr
119.6 km/hr
140.5 km/hr
155.3 km/hr
Answer: A
Question: Three dice are thrown together, Find the probability of getting a total of atmost 5?
Choices:
1/8
3/31
2/9
5/108
Answer: D
Question: if (64)2 - (36)2 = 10x, then x = ?
Choices:
220
210
280
None of these
Answer: C
Question: There is rain at a rate of 12 centimeters per hour all over New Jersey. Somewhere downtown in New Jersey a group of students are waiting for the rain to stop. If the rain filled a tank the with a base area of 250 square centimeters and a depth of 6 centimeters, how long did the students wait for the rain to stop?
Choices:
4 hours 25 minutes
3 hours 15 minutes
6 hours
2 hours
Answer: D
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 8 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
17:7
19:9
19:5
19:4
Answer: A
Question: If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 24?
Choices:
187
191
201
287
Answer: D
Question: The difference between simple and compound interest on Rs. 1300 for one year at 10% per annum reckoned half-yearly is?
Choices:
3.25
9.15
3.13
2.0
Answer: A
Question: If the ratio of the roots of the equation x2+3px-6=0 is equal to that of the roots x2+6rx-12=0, then:
Choices:
2p=r
r=p
2r=p
None
Answer: B
Question: A car averages 45 mph for the first 4 hours of a trip and averages 75 mph for each additional hour. The average speed for the entire trip was 65 mph. How many hours long is the trip?
Choices:
12
10
9
8
Answer: A
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
16
13
18
19
Answer: B
Question: A reduction of 15% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
16
24
28
32
Answer: B
Question: Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 20% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?
Choices:
1 to 8
3 to 5
3 to 4
3 to 2
Answer: A
Question: A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of Rs. 200 each. For each rise of Rs. 4 in the selling price she will sell 2 less suits a week. If she sells the suits for Rs. x each, how many rupees a week will she receive from the sales of the suits?
Choices:
200−x/2
50x - (x^2)/4)
150x - (x^2)/4)
200x - (x^2)/2)
Answer: A
Question: Which of the following is equal to 1(1/6)%?
Choices:
0.12/100
1.1/100
12/100
12/10
Answer: B
Question: A rectangular window is twice as long as it is wide. If its perimeter is 18 feet, then what are its dimensions in feet?
Choices:
5/3 by 10/3
2 by 4
3 by 6
10/3 by 20/3
Answer: C
Question: If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.36 then sum is
Choices:
s.5100
s.5800
s.6000
s.3600
Answer: D
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
125
726
268
171
Answer: A
Question: The salaries of A and B together amount to $500. A spends 90% of his salary and B, 80% of his. If now, their savings are the same, what is A's salary?
Choices:
$150
$69
$34
$52
Answer: C
Question: A gardener changed the size of his rectangle shaped garden by increasing it's length by 40% & decreasing is's width by 20%.Find area of new garden.
Choices:
1.12
1.24
1.4
1.5
Answer: A
Question: d, q, and r are positive integers. If d, q, and r are assembled into the six-digit number dqrdqr, which one of the following must be a factor of dqrdqr?
Choices:
19
17
7
none of the above
Answer: C
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $288 per week. How much does she earn in dollars per hour?
Choices:
10
9
8
7
Answer: C
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 20 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/25
1/50
1/100
Answer: D
Question: ♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3
♠3.32 - ♠2.42 =
Choices:
0.9
-1.05
-1.0
-0.1
Answer: A
Question: In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 35 and 200, then the least and greatest integer on the card would be
Choices:
3 and 20
4 and 13
4 and 14
5 and 14
Answer: D
Question: David received Rs.6000 as his share out of the total profit of Rs.9000 which he and Dave earned at the end of 1 years. If David invested Rs.120000 for 6 months, whereas Dave invested his amount for the whole yr, what was the amount invested by Dave?
Choices:
30000
34000
35000
36000
Answer: A
Question: I. a^2 - 9a + 20 = 0,
II. 2b^2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?
Choices:
a ≤ b
the relationship between a and b cannot be established
a > b
a ≥ b
Answer: D
Question: In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"?
Choices:
196
286
288
324
Answer: C
Question: A car gets 33 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 16 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Choices:
172
176
180
184
Answer: B
Question: A train 275 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
15
7
8
9
Answer: A
Question: In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 27th in an arithmetic progression if the sum of the 12th and 16th terms of the sequence is 98?
Choices:
49
51
53
55
Answer: A
Question: In 120 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Choices:
24 m
22.5 m
9 m
12 m
Answer: A
Question: If A is the average (arithmetic mean) of 3 consecutive negative integers, which of the following must be true?
I. A is a negative integer.
II. A is a nonzero integer.
III. A is a multiple of 3.
Choices:
II only
III Only
I and III only
I and II only
Answer: D
Question: If x = -7/8 and y = -1/2, what is the value of the expression -2x – y^2?
Choices:
-1
1
3/2
7/4
Answer: C
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 8 cm each. The radius of the sphere is
Choices:
4 cm
6 cm
8 cm
None
Answer: A
Question: There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?
Choices:
100 x (P−Q+R)/(P−Q)
(P+R)/(P−Q)
100 x (P−Q)/(P−Q+R)
100 x (P+R)/(P−Q)
Answer: A
Question: A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?
Choices:
$8.80
$11.00
$57.30
$78.10
Answer: C
Question: How many number of 3's would be used to type numbers from 1 to 700
Choices:
240
250
260
270
Answer: A
Question: The average (arithmetic mean) of eight numbers is 49.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Choices:
24.2
58.6
72.1
96.8
Answer: B
Question: A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is
Choices:
1
2
3
4
Answer: C
Question: Find the odd man out
5,15,45,60,90,180
Choices:
60
90
5
15
Answer: A
Question: Sonika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
2277
9620
2774
1212
Answer: B
Question: An error 2%in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Choices:
4.04 %
4 %
2 %
2.40 %
Answer: A
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Choices:
4500
4000
4569
3158
Answer: D
Question: 2 men and 3 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
Choices:
12
18
21
24
Answer: A
Question: Lerry, 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 painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 4.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
Choices:
(y +210)/(5x)
5(80 - y)/(4x)
(y + 400)/(4x)
(4y + 320)/(5x)
Answer: A
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Choices:
24 kmph
54 kmph
56 kmph
76 kmph
Answer: A
Question: A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability Z that the first ball picked up is odd numbered?
Choices:
1/3
1/2
2/3
1
Answer: C
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 60 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Choices:
200 km
220km
180km
210km
Answer: A
Question: A boat can travel with a speed of 25km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 90km downstream.
Choices:
2 hrs
3 hrs
4 hrs
5 hrs
Answer: B
Question: An incredible punch is composed of mango, orange juice, and milk. How many pints of orange juice are required to make 9 gallons of punch containing twice as much mango as orange juice and three times as much orange juice as milk? (1 Gallon = 8 Pints )
Choices:
7.2 pints
5 pints
12 pints
6.5 pints
Answer: A
Question: If a man can cover 12 metres in 0ne second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
167 km
143 km
162 kilometres
245 km
Answer: C
Question: John has on his shelf four books of poetry, two novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Choices:
2/5
4/45
7/20
8/45
Answer: B
Question: Ajay can ride 50km in 1 hour. In how many hours he can ride 900km?
Choices:
15hrs
20hrs
25hrs
18hrs
Answer: D
Question: A window 2 inches wide is placed on the back of a rectangular painted area with dimensions 8 inches by 12 inches. What is the area of the window, in square inches?
Choices:
96
128
144
168
Answer: A
Question: Two trains of equal length 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 seconds. The length of each train is:
Choices:
50 m
80 m
82 m
84 m
Answer: A
Question: X and Y invest Rs.12500 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Choices:
Rs.26400
Rs.11000
Rs.12500
Rs.13500
Answer: B
Question: The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 302 to 400 inclusive?
Choices:
14,550
17,550
20,550
23,550
Answer: B
Question: If Janice was 24 years old z years ago and Lisa will be 22 years old in p years, what was the average (arithmetic mean) of their ages 6 years ago?
Choices:
(z - p + 34)/4
(z - p + 24)/4
(z + p + 44)/2
(z - p + 34)/2
Answer: D
Question: A train 225 m long passes a man, running at 10km/hr in the same direction in which the train is going, in10 seconds. The speed of the train is:
Choices:
90
91
85
96
Answer: B
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 4 different offices?
Choices:
64
32
11
12
Answer: A
Question: If Janice was 22 years old z years ago and Lisa will be 20 years old in p years, what was the average (arithmetic mean) of their ages 7 years ago?
Choices:
(z - p + 28)/4
(z - p + 18)/4
(z + p + 38)/2
(z - p + 28)/2
Answer: D
Question: It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn
Choices:
45
36
20
90
Answer: C
Question: The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $2.00 in 1970 was 150 percent of its price in 1960, what was its price in 1980?
Choices:
b) $ 2.00
c) $ 2.40
d) $ 2.70
e) $ 3.00
Answer: D
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, x
Choices:
1052
3456
7554
3158
Answer: A
Question: Machine A and machine G are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine G. Machine G produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
Choices:
6
60
100
110
Answer: A
Question: 350 is increased by 50%. Find the final number.
Choices:
625
225
525
425
Answer: C
Question: If f(x) = 12 - x^2/2 and f(2k) = 5k, what is one possible value for k?
Choices:
3
4
5
8
Answer: C
Question: A card is drawn from a pack of 52 cards the probability of getting queen of club or aking of a heart?
Choices:
9/25
1/26
6/25
8/45
Answer: B
Question: A reduction of 40% in the price of oil enables a house wife to obtain 8 kgs more for Rs.2400, what is the reduced price for kg?
Choices:
Rs.120
Rs.130
Rs.135
Rs.140
Answer: A
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1200. What is the gain or loss in percentage?
Choices:
22%
25%
20%
None of these
Answer: A
Question: I. x + 2y + 3z = 2
II. x + y - z = 0
III. 2x + 2y - z = 1
What is the value of y in the system above?
Choices:
-2
0
1
2
Answer: A
Question: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 47 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 53 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Choices:
28
30
33
44
Answer: C
Question: A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:
Choices:
emptied in 12 min
filled in 8 min
will be empty in 8 min
emptied in 10 min
Answer: C
Question: For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 231 books with me to gift her.
Can you calculate, on which day is our anniversary?
Choices:
28
23
21
25
Answer: C
Question: After M students took a test, the average score was 56%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 60%?
Choices:
0.56M + 30
M + 28
2M + 28
2M + 30
Answer: D
Question: A company has two models of computers, model X and model Y. Operating at a constant rate, a model X computer can complete a certain task in 72 minutes and a model Y computer can complete the same task in 36 minutes. If the company used the same number of each model of computer to complete the task in 1 minute, how many model X computers were used?
Choices:
23
24
25
26
Answer: B
Question: Laura has a deck of standard playing cards with 13 of the 52 cards designated as a "heart." If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
Choices:
1/4
5/26
12/42
13/42
Answer: A
Question: Find the area of the sector whose are is making an angle of 90° at the center of a circle of radius 3.2 Cm.
Choices:
56.22 Sq.Cm
56.82 Sq.Cm
56.42 Sq.Cm
56.32 Sq.Cm
Answer: D
Question: If P = Q-R, -1 < R < 0 and Q=0, which of the following is correct?
Choices:
0 < P <2
P > 0
0 < P <4
P < -20
Answer: B
Question: Approximately what percentage of the world’s forested area is represented by Finland given that Finland has 53.42 million hectares of forested land of the world’s 8.076 billion hectares of forested land.
Choices:
0.066%
0.66PERCENT
6.6%
66%
Answer: B
Question: Kim can walk 4 kilometers in one hour. How long does it take Kim to walk 18 kilometers?
Choices:
8 hours and 30 minutes.
9 hours and 30 minutes.
3 hours and 30 minutes.
4 hrs and 30 min
Answer: D
Question: If y = 2 + 2K and y≠0y≠0, then 2/y + 1/y + 1/y + 1/y = ?
Choices:
5/2(1+k)
1/(8+k)
4/(8+k)
4/(1+k)
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Choices:
27 7/6
27 7/2
27 7/9
27 7/1
Answer: C
Question: P, Q, R enter into a partnership. P initially invests 25 lakh and adds another 10 lakh after one year. Q initially invests 35 lakh and withdraws 10 lakh after 2 years. R's investment is Rs 30 lakh. In what ratio should the profit be divided at the end of 3 years?
Choices:
18:19:19
19:17:18
19:19:18
17:18:19
Answer: C
Question: The sale price of a trolley bag including the sale tax is Rs. 1232. The rate of sale tax is 10% . If the shopkeeper has made a profit of 12%, the cost price of the trolley bag is:
Choices:
Rs 1000
Rs 1525
Rs 1250
None of these
Answer: A
Question: Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?
Choices:
28,000
28,109
28,009
28,011
Answer: A
Question: Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a grey cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?
Choices:
160
200
180
240
Answer: C
Question: The diameter of two circles are 18 cm and 8 cm. The distance between their centres is 13 cm. What is the number of common tangents?
Choices:
3
1
5
7
Answer: A
Question: It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Choices:
Sarurday
Friday
Wednesday
Monday
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
799
719
750
712
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?
Choices:
100
150
170
160
Answer: A
Question: Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
Choices:
20
48
36
42
Answer: B
Question: If after successive discounts of 20% and 25/4% on the marked price of an article, a trader gets 20% profit on the cost price,then by what percent is the marked price above the cost price?
Choices:
60%
70%
80%
90%
Answer: A
Question: 4/9 × 6/3 + 11/27 – 18/81 = ?
Choices:
13 (2/7)
24 (5/27)
17 (3/21)
None of these
Answer: B
Question: When 30 is divided by the positive integer k, the remainder is 6, for how many different values of k is this true?
Choices:
3
5
7
8
Answer: B