antoine-444/aqua_rat_dataset huggingface dataset:
Question: The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 4 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least two ingredients? (Also assume that each bin can hold one and only one blend.)
Choices:
4
7
11
10
Answer: C
Question: A cube of edge 17cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?
Choices:
8.25cm
11.25cm
16.37cm
20.62cm
Answer: C
Question: A train 90 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?
Choices:
18
14
99
13
Answer: B
Question: A right circular cylinder has a height of 20 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
Choices:
500(π – 2.5)
500(π – 2)
500(π – 1.5)
500(π – 1)
Answer: C
Question: The sum of the present age of Henry and Jill is 33. What is their present ages if 6 years ago Henry was twice the age of Jill?
Choices:
and 20
and 22
and 29
of these
Answer: A
Question: The sum of the two numbers is 11 and their product is 35. What is the sum of the reciprocals of these numbers?
Choices:
11/35
35/8
7/32
None of these
Answer: A
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Choices:
2205
2378
2988
2781
Answer: A
Question: A library has an average of 660 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Choices:
276
280
310
None
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
150
278
277
112
Answer: A
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/4. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Choices:
46
52
62
85
Answer: D
Question: If the area of circle is 616 sq cm then its circumference?
Choices:
88 cm
99
66
41
Answer: A
Question: A store sells 2 kinds of jelly beans mixes (A and B)both made up of red and yellow beans. if b contains 20% more red beans than A but 10% fewer yellow beans. and Jar A contains twice as many red beans as yellow by what percent is the number of beans in Jar B larger than the number in Jar A
Choices:
6
8
9
10
Answer: D
Question: 80 370 860 1550 2440 ?
Choices:
840
750
860
3530
Answer: D
Question: Which number should replace both the asterisks in (* /18) x (*/72) = 1 ?
Choices:
30
36
42
48
Answer: B
Question: A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent Q should the number of hours worked be increased?
Choices:
20%
25%
50%
100%
Answer: B
Question: Look at this series: 4, 7, 25, 10, __, 20, 16, 19, ... What number should fill the blank?
Choices:
13
17
19
11
Answer: A
Question: Simplify 6235 * 99
Choices:
546892
567892
658793
617265
Answer: D
Question: A straight line is formed using two points A(3,3) and B(6,6). Another point P(x,y) lies between A and B such that AP/BP = 8. What are the coordinates of P?
Choices:
(17/3, 17/3)
(8/9, 8/9)
(8/3, 8/3)
(7/8, 7/8)
Answer: A
Question: The average runs of a cricket player of 12 innings was 48. How many runs must he make in his next innings so as to increase his average of runs by 10?
Choices:
142
164
178
84
Answer: C
Question: Rebecca's annual income is $15 and Jimmy's annual income is $18. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
Choices:
7
9
10
11
Answer: A
Question: A motorist travel to a place 150 km away at an average speed of 70 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
Choices:
37 km/hr
40 km/hr
42 km/hr
None of these
Answer: C
Question: Two trains 125 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.2
7.19
7.15
7.11
Answer: A
Question: A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
Choices:
187
278
200
267
Answer: C
Question: Find the area of circle whose radius is 7m?
Choices:
154
267
268
298
Answer: A
Question: A certain basketball team that has played 2/3 of its games has a record of 14 wins and 6 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
Choices:
1
5
4
3
Answer: A
Question: How many 5-letter words can be formed using the letters of the English alphabet that contain 3 different vowels and 2 different consonants?
Choices:
4!*5c3 *21c2
4!*21c2
3!*5c3 *21c2
5!*5c3 *21c2
Answer: A
Question: A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Choices:
48
64
96
None of these
Answer: B
Question: Ten percent of the women in a college class are science majors, and the non-science majors make up 80% of the class. What percentage of the men are science majors if 40% of the class are men?
Choices:
25%
35%
45%
50%
Answer: B
Question: Among the employees of a certain company, 52 percent of the employees are male and 48 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?
Choices:
0.4
0.5
0.6
0.7
Answer: A
Question: In marathon Sam was faster than Jack. Denise beat Jim but lost to Jack. Who is the winner?
Choices:
Sam
Denise
Jim
none
Answer: A
Question: . The average of first ten prime numbers which are odd is?
Choices:
28.1
12.9
15.8
11.2
Answer: C
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 69 km downstream.
Choices:
3.6 hr
8.25 hr
2.25 hr
2.50 hr
Answer: A
Question: Without stoppages, a train travels certain distance with an average speed of 100 km/h, and with stoppages, it covers the same distance with an average speed of 95 km/h. How many minutes per hour the train stops ?
Choices:
2
3
4
5
Answer: B
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
Choices:
7
8
9
2
Answer: B
Question: Two drivers began their journey with the same amount of petrol in their cars at the same time. The only difference is that the first driver�s car could drive 4 hours in that amount of petrol and the second one could drive 5 hours.
However, they only drove for some time and found that the amount of petrol that was left in one of the cars was four times the petrol left in the other one.
For how long had they driven at this point of time?
Choices:
3.75 hours
4.75 hours
5.75 hours
None
Answer: A
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
Choices:
6/11
7/11
8/11
9/11
Answer: A
Question: A,B,C subscribe Rs.50,000 for a business.A subscribes Rs.4000 more than B and B Rs.5000 more than C.Out of a total profit of Rs.35,000,A receives :
Choices:
Rs.11,900
Rs.13,600
Rs.14,700
None of these
Answer: C
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the Length of the other train?
Choices:
230 m
260 m
320 m
None
Answer: A
Question: A photographer is to take group photographs of a class of students for the school magazine such that each photograph should have five students. If there are four girls and four boys in the class and each photograph must not have two girls or two boys standing together, how many different photographs can the photographer take?
Choices:
288
4^4
576
288^2
Answer: C
Question: Let R1 and R2 respectively denote the maximum and minimum possible remainders when (276)n is divided by 91 for any natural number n , n>= 144. Find R1+R2.
Choices:
82
84
64
None
Answer: A
Question: A person starting with Rs.64 and making 6 bets, wins 3times and loses 3times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is?
Choices:
Rs.37
Rs.47
Rs.53
Rs.59
Answer: A
Question: A train 420 m long is running at a speed of 48 km/hr. In what time will it pass a bridge 60 m long?
Choices:
36sec
60 sec
48 sec
18 sec
Answer: A
Question: If books bought at prices ranging from Rs 200 to Rs 350 are sold at prices ranging from Rs 300 to Rs 425, what is the greatest possibleprofit that might be made in selling eight books.
Choices:
1200
1600
1800
None of these
Answer: C
Question: On his drive to work, Leo listens to one of three radio stations A, B or E. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to E. If E is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Choices:
0.09
0.417
0.657
0.9
Answer: C
Question: If 8^x = 2^6, what is x?
Choices:
2
4
5
6
Answer: A
Question: There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then B:D will be?
Choices:
3 : 5
2:3
6 : 11
5 : 3
Answer: B
Question: A collection of books went on sale, and 2/3 of them were sold for $5 each. If none of the 50 remaining books were sold, what was the total amount received for the books that were sold?
Choices:
$600
$500
$400
$450
Answer: B
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
Choices:
110 kmph
120 kmph
130 kmph
140 kmph
Answer: B
Question: In a pack of playing cards a card is drawn at random. What is the probability that the card selected is a red king card?
Choices:
1/26
3/26
2/13
5/26
Answer: A
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 5:2. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles?
Choices:
8:15
3:2
2:3
1:2
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
33/18
33/87
33/17
Answer: A
Question: The sum of Two Numbers X, Y is 54. The Difference is 28 what is the square value of Y?
Choices:
169
144
256
81
Answer: A
Question: A pipe can empty 2/3rd of a cistern in 12mins. In 8 mins, what part of the cistern will be empty?
Choices:
3/7
4/9
3/8
4/7
Answer: B
Question: Two electronic musical instruments were purchased for Rs. 8000. The first was sold at a profit of 40% and the second at a loss of 40%. If the sale price was the same in both the cases, what was the cost price of the electronic musical instruments?
Choices:
3400,5600
2400,5600
2400,4600
2400,3600
Answer: B
Question: The sum of ages of 4 children born 1 years different each is 38 years. What is the age of the Elder child?
Choices:
11
10
16
17
Answer: A
Question: In how many ways a committee, Consisting of 4 men and 6 women can be formed from 8 men and 10 women?
Choices:
86400
11760
14700
15720
Answer: C
Question: Two pipes A and B can fill a tank in 2 and 6 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
1.8 min
1.5 min
3.5 min
2 min
Answer: B
Question: A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Choices:
99 hrs
35 hrs
45 hrs
32 hrs
Answer: B
Question: How many ways could three bottle caps can be used to close five bottles of which two of the bottles will remain opened?
Choices:
12
60
118
120
Answer: B
Question: If the simple interest on a sum of money for 4 years at 8% per annum is Rs. 560, what is the compound interest on the same sum at the rate and for the same time?
Choices:
Rs. 430.86
Rs. 330.86
Rs. 630.86
Rs. 130.86
Answer: C
Question: A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth?
Choices:
200
180
195
175
Answer: C
Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and each letter can be used only once?
Choices:
42
120
600
720
Answer: C
Question: A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
Choices:
1 ½ days
3 days
3 ½ days
4 days
Answer: A
Question: 10 people are assigned a library of audio clips to be transcribed in 100 days. If 2 people have to take 25 days leave in between, how many more people should be added on the last day to complete the task in 100 days itself?
Choices:
50
75
100
15
Answer: A
Question: In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Choices:
0.25
0.65
0.75
0.85
Answer: A
Question: A car travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the car is
Choices:
48 kmph
44 kmph
45 kmph
None of these
Answer: A
Question: Ron begins reading a book at 2: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 4: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
Choices:
6: 30 p.m.
7: 45 p.m.
8: 00 p.m.
8: 30 p.m.
Answer: A
Question: In a class there are 20 boys and 21 girls. In how many ways can a boy and a girl be selected?
Choices:
420
800
570
503
Answer: A
Question: In a class of 36 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
Choices:
7
10
12
14
Answer: A
Question: if (p/q)-(q/p)=21/10
then what ia the value of(4p/q)+(4q/p)
Choices:
58/5
121/105
101/105
1/2
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
2699
2670
6725
2601
Answer: C
Question: Average weight of 10 people increased by 3 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
Choices:
55
60
65
75
Answer: D
Question: The average age of 32 students in a group is 16 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Choices:
None of these
48
49
50
Answer: C
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
Choices:
13
44
55
61
Answer: A
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
7%
8%
4%
1%
Answer: C
Question: Two trains 100 m and 60 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
5.76 sec
10.6 sec
10.8 sec
20.8 sec
Answer: A
Question: From a group of 25 astronauts that includes 13 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?
Choices:
858
864
964
722
Answer: A
Question: A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 1/4 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.
Choices:
150
140
120
110
Answer: A
Question: Tough and Tricky questions: Combinations.
Five contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
7
12
15
24
Answer: C
Question: If -2 < h < 0, which of the following has the greatest value?
Choices:
b) 1+h
c) 1+h^2
d) 1-1/h
e) 1-1/(h^2)
Answer: D
Question: A local business made a $125,000 profit on its first $1 million in sales and a $80,000 profit on its next $2 million in sales. By approximately what percent did the ratio of profit to sales decrease from the first $1 million in sales to the next $2 million in sales?
Choices:
150%
200%
250%
300%
Answer: B
Question: A 6 litre sol is 20% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ?
Choices:
B.1
C.2.1
D.3.6
E.5.4
Answer: C
Question: A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?
Choices:
Rs 300
Rs 400
Rs 500
None of these
Answer: A
Question: For any two numbers X and Y , define X# Y=X+Y -XY . If X,Y>0.5, then X#X < Y#Y if
i. 1>X>Y
ii. 1>Y>X
iii. Y>X>1
Choices:
option ii only
i and ii only
ii and iii only
i and ii only
Answer: A
Question: Find the distance covered by a man walking for 24min at a speed of 10km/hr?
Choices:
3km
4km
5km
6km
Answer: B
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts F needed to confirm that each of the 5 keys matches each of the 5 locks?
Choices:
4,15
5,10
4,10
5,20
Answer: C
Question: Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum K in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her original investment is
Choices:
90%
70%
60%
40%
Answer: A
Question: A man is walking at the rate of 6 km/hr crosses a bridge in 15 minutes. The length of the bridge is
Choices:
1050 meters
1200 meters
1500 meters
None of these
Answer: C
Question: if a three-digit number is selected at random from the integers 100 to 999, inclusive, what is the probability that the first digit and the last digit of the integer will both be exactly two less than the middle digit?
Choices:
7:900
1:1,000
1:100
7:100
Answer: A
Question: Anil purchased 30 kg of wheat at the rate of Rs. 22 per kg and 20 kg of wheat at the rate of Rs. 24 per kg. He mixed the two. Approximately at what rate per kg should he sell the mixture to make 25% profit?
Choices:
Rs. 28.5
Rs. 30
Rs. 32.5
None of these
Answer: A
Question: A pipe can empty 2/3rd of a cistern in 12mins. In 5 mins, what part of the cistern will be empty?
Choices:
5/18
4/9
3/8
4/7
Answer: A
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
79%
60%
64%
24%
Answer: C
Question: If a < b < c , which of the following must be true?
(I) a < b^2
(II) b − a > c
(III) a^2 < b^2 < c^2
Choices:
I only
None
III only
II and III
Answer: B
Question: According to a survey, at least 50% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Choices:
5%
15%
20%
25%
Answer: A
Question: A pen factory stores its toys in either a big box or a small box. The big box can store 27 pens while the small box can store 18 pens. If the factory is to store 112 newly manufactured pens, what is the least number of pens that will be left unboxed?
Choices:
2
4
3
1
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240
88
21
192
Answer: A
Question: If the price of petrol increases by 44, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Choices:
20%
16.67%
33.33%
None of these
Answer: D
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (12,0) and (12,6). If a line through (1,1) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Choices:
2/3
1/4
2/5
5/12
Answer: C
Question: A envelop weight 8.5 gm,if 800 of these envelop are sent with an advertisement mail. How much wieght?
Choices:
6.8kg
6.7kg
6.9kg
7.8kg
Answer: A
Question: If XY denotes X is raised to the power Y, Find the last two digits of 19413843+ 19614181
Choices:
22
42
82
92
Answer: C
Question: Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
13 1/3 days
17 1/3 days
17 7/3 days
18 1/3 days
Answer: A
Question: In a camp, there is a meal for 180 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ?
Choices:
32 men
34 men
45 men
None of these
Answer: C
Question: A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 1
II. -3
III. 5
Choices:
II only
I and III only
II and III only
I, II, and III
Answer: B
Question: In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible score B that Lindsey could have received on her midterm exam?
Choices:
52%
72%
76%
80%
Answer: A
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 40 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Choices:
120km
220km
180km
200km
Answer: A
Question: The measures of the 2 acute angles of a triangle are in the ratio of 2:7. What are the measures of the 2 angles?
Choices:
70°
80°
90°
100°
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
16
20
22
29
Answer: B
Question: In a kilometer race, A beats B by 50 meters or 5 seconds. What time does A take to complete the race?
Choices:
190 sec
726 sec
90 sec
128 sec
Answer: C
Question: In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs.72 per Kg so that the mixture must be worth Rs.64.50 per Kg?
Choices:
3 : 1
4 : 3
5 : 3
None
Answer: A
Question: The perimeter of a semi circle is 180 cm then the radius is?
Choices:
28
35
37
13
Answer: B
Question: A train 250 m long running at 72 kmph crosses a platform in 20 sec. What is the length of the platform?
Choices:
150m
250m
270m
300 m
Answer: A
Question: A certain university will select 1 of 9 candidates eligible to fill a position in the mathematics department and 2 of 15 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
425
748
854
945
Answer: D
Question: In current of a stream runs at 2 km/hr. A motor boat goes 30 km upstream and back again to the starting point in 20 hours. The speed of the moter boat in still water is:
Choices:
8 km/hr
2 km/hr
4 km/hr
8 km/hr
Answer: C
Question: A fair coin is tossed 15 times. What is the probability of getting more heads than tails in 15 tosses?
Choices:
1/2
4/7
61/256
63/64
Answer: A
Question: A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
Choices:
60
77
26
23
Answer: A
Question: From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:
Choices:
156 m
173 m
200 m
none
Answer: B
Question: In a shower, 8 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Choices:
1200 cu. m
7500 cu. m
75000 cu. m
7.50 cu. m
Answer: A
Question: In what time will a railway train 90 m long moving at the rate of 44 kmph pass a telegraph post on its way?
Choices:
5
4.3
6.5
7.4
Answer: D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?
Choices:
3/2
4/3
3/4
1/5
Answer: A
Question: Let the polynomials be:
P1(x)=3x2−7x+8,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)=
Choices:
-2x2 - 11x + 10
-2x2 - 11x + 6
2x2 - 9x + 7
None of these
Answer: A
Question: Two trains of lengths 150m and 180m respectively are running in opposite directions with a speed of 30 km/hr and 24 km/hr respectively. How much time will they take to cross each ther?
Choices:
23 secs.
24 secs.
22 secs.
28 secs.
Answer: C
Question: 3x^2-6x+3 = 0
Find the above equation find the value of x
Choices:
X=1
2
4
5
Answer: A
Question: A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 30% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
Choices:
1:10
1:120
23:4
23:120
Answer: D
Question: Sarah's seafood restaurant gets a delivery of fresh seafood every day, 6 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?
Choices:
d + 6cx/100
6d + xc/100
6d + 6xc/100
6cdx
Answer: C
Question: A three digit non-zero number 'abc' in base 5, when converted to base 7, becomes 'cba'. Which of the following is necessarily true?
Choices:
c must be 2
b must be 0
None
Cannot be determined
Answer: B
Question: A photo-mat shop charges $0.6 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $36 if each film contains 36 photos?
Choices:
2 films and 26 photos
5 films and 14 photos
6 films and 4 photos
6 films and 28 photos
Answer: A
Question: In how many ways can a four-letter password be chosen, using the letters A, B, C, D, and/or E, such that at least one letter is repeated within the password?
Choices:
505
900
936
1,296
Answer: A
Question: The two lines y = x and x = -5 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
Choices:
5/√2
8
2√2
(√2)/3
Answer: A
Question: In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and seven different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?
Choices:
1/120
2/233
3/543
1/5040
Answer: D
Question: During a certain two-week period, 80 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 4 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Choices:
15 A
20 A
1/25 A
30 A
Answer: B
Question: What percent of selling price would be 34% of cost price if gross profit is 26% of the selling price?
Choices:
74.0
25.16
88.4
None of these
Answer: B
Question: Two horses begin running on an oval course at the same time. One runs each lap in 9 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
Choices:
36
9
4
3
Answer: A
Question: If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
Choices:
5
6
8
None Of These
Answer: D
Question: the probability that I will sit next to Ann is 1/12.
the probability that I won't sit next to Alice is 11/12.
What is the probability that I will sit next to Ann and Alice?
Choices:
11/12
11/144
1/12
1/144
Answer: D
Question: What is 2 2/3 - 1 1/4 divided by 1/2 - 1/4 ?
Choices:
36/17
17/6
17/3
51/4
Answer: C
Question: A car travelling with 5/7 of its actual speed covers 42km in 1hr 40 min 48 sec find the actual speedof the car?
Choices:
25km/min
35km/hr
125km/hr
63km/hr
Answer: B
Question: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
24
23
22
None of these
Answer: D
Question: A chemical supply company has 60 liters of a 20% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution?
Choices:
15
20
24
36
Answer: D
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Choices:
4
2
1
3
Answer: A
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3294, how much was it in the beginning?
Choices:
2776
4079
2871
881
Answer: B
Question: A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 6 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
Choices:
29/60
17/30
19/30
11/15
Answer: D
Question: The total of the ages of Jai, Prajan and Sarath is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Sarath?
Choices:
32 years
38 years
42 years
None
Answer: B
Question: After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Choices:
9 liters
4 liters
2 liters
6 liters
Answer: C
Question: In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
30
45
20
50
Answer: A
Question: A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?.
Choices:
59
64
68
59
Answer: A
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Choices:
132
882
279
277
Answer: A
Question: An insect leaps 42 centimeters in 1.2 seconds. What is its speed?
Choices:
0.35 meters per second
5 centimeters per second
0.5 meters per second
3.5 centimeters per second
Answer: A
Question: Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
250
350
400
450
Answer: A
Question: Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is:
Choices:
36 years
38 years
40 years
42 years
Answer: B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
60
77
55
12
Answer: B
Question: If x < 0 and 0 < y < 1, which of the following has the greatest value Q?
Choices:
(xy)^2
(x/y)^2
x^2/y
x^2*y
Answer: B
Question: man is 15 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
13years
17 years
18 years
22 years
Answer: A
Question: A man complete a journey in 10 hours. He 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:
222
223
224
225
Answer: C
Question: The ratio of two quantities is 4 : 3. If each of the quantities is decreased by 8, their ratio changes to 3:1 then the smallest number is?
Choices:
6.9
9.6
7.8
4.7
Answer: B
Question: Find the missing in the series: 70, 54, 45, 34,___
Choices:
287
266
2767
2771
Answer: B
Question: Nine friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 9-person seating arrangements are possible?
Choices:
162,920
202,180
242,360
282,240
Answer: D
Question: A man is 37 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
22 years
88 years
35 years
65 years
Answer: C
Question: 85 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Choices:
75
85
90
95
Answer: A
Question: CONVERT 1.8 hectares in ares
Choices:
160 ares.
180 ares.
230 ares.
250 ares.
Answer: B
Question: How many 4-letter words with or without meaning can be formed out of the letters of the word,'LOGARITHMS',if repetition of letters is not allowed?
Choices:
5040
400
40
1502
Answer: A
Question: A Jar contains a mixture of A & B in the ratio 4:1. When 10 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.
Choices:
15
16
20
25
Answer: B
Question: Dravid rented a power tool from a rental shop. The rent for the tool was $8 for the first hour and $3 for each additional hour. If Dravid paid a total of $38, excluding sales tax, to rent the tool, for how many hours did she rent it?
Choices:
11
12
13
15
Answer: A
Question: If x,y ,and z are positive real numbers such that x+y-z =100 , y-z+x =120 , and z-x+y = 50, then find the x+y+z value?
Choices:
120
150
200
160
Answer: A
Question: A seven-digit phone number is divisible by 7. After adding the two digits of the area code the number is not divisible by 7, which of the following cannot be the area code?
Choices:
07.
05.
04.
02.
Answer: A
Question: Find the principle on a certain sum of money at 11% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
812.88
827.78
826.82
886.08
Answer: D
Question: The ratio of buses to cars on River Road is 1 to 3. If there are 40 fewer buses than cars on River Road, how many cars are on River Road?
Choices:
60
85
95
105
Answer: A
Question: Three numbers are in the ratio 5 : 4 : 6 and their average is 750. The largest number is :
Choices:
98
900
21
22
Answer: B
Question: The sides of a square region, measured to the nearest centimeter, are 9 centimeters long. The least possible value of the actual area of the square region is
Choices:
66.25 sq cm
56.25 sq cm
72.25 sq cm
58.25 sq cm
Answer: B
Question: 3x^2 - 10x + 8 =
Choices:
(3x-4)(x-2)
(3x-4)(x-3)
(3x-2)(x+4)
none of above
Answer: A
Question: In a garden, 26 trees are planted at equal distances along a yard 500 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
Choices:
20
12
14
16
Answer: A
Question: Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 18 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately.
Choices:
25 days
120 days
110 days
90 days
Answer: A
Question: In a given set of X = {70,55,98,45,62} what is the difference of median and mean of the set X?
Choices:
30
32
40
45
Answer: B
Question: Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 8. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
Choices:
(4m-24)/[m(m-2)]
(4m-24)/[m(m-3)]
(4m-24)/[m(m-6)]
(4m-24)/[m(m-8)]
Answer: D
Question: Two partners in a business (Carol and Ben) invested $500 and $850 in a business respectively. At the end of the year they made a profit of $250. Find share of each partner?
Choices:
$92.59,$157.41
$92.59,$159.41
$92.59,$127.41
$12.59,$157.41
Answer: A
Question: There are 13 clubs in a full deck of 52 cards. In a certain game, you pick a card from a standard deck of 52 cards. If the card is a club, you win. If the card is not a club, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a club, and the point is to measure how many draws it took before the person picked a club and, thereby, won. What is the probability that one will pick the first club on the forth draw or later?
Choices:
3/4
7/8
27/32
27/64
Answer: D
Question: If a and b are positive integers of T such that a/b=2.86, which of the following must be a divisor of a?
Choices:
B.13
18
26
50
Answer: A
Question: If f(a)=2a+2, what is the value of (f(2a)+f(a)) ?
Choices:
8a-7
9a+5
6a+12
6a+4
Answer: D
Question: John was 35 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/8 of John's. How old is Betty?
Choices:
35
28
30
32
Answer: A
Question: five mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the five arrange themselves in line such that Frankie’s requirement is satisfied?
Choices:
66
60
72
75
Answer: B
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3146 in 3 years. Find the rate percent?
Choices:
30
28
24
82
Answer: A
Question: If 16^y = 4^14, what is y?
Choices:
3
4
6
7
Answer: D
Question: The circumference of a circle is equal to 72 pi. Find the radius of this circle.
Choices:
33
36
37
39
Answer: B
Question: The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 4 months. At this time, the construction was behind schedule by how many projects?
Choices:
28
198
204
504
Answer: A
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference?
Choices:
12
14
15
16
Answer: A
Question: The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?
Choices:
6
2
8
0
Answer: C
Question: Having scored 94 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings?
Choices:
27
26
22
24
Answer: C
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 3/7. What is the probability that they agree in stating the same fact?
Choices:
17/35
17/39
17/33
17/31
Answer: A
Question: A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
Choices:
268
198
646
168
Answer: C
Question: Sum of three numbers 264, If the first number be twice then second and third number be one third of the first, then the second number is
Choices:
71
72
73
74
Answer: B
Question: Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 4.6 times the amount of the second solution?
Choices:
65.25
68.75
70.15
72.35
Answer: B
Question: A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 5% of bananas were rotten. Find the percentage of fruits in good condition?
Choices:
89.0%
85.2%
96.8%
78.9%
Answer: A
Question: A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 10 minutes. How much time will be take to cover a distance of 10 kilometres?
Choices:
150 min.
145 min.
155 min.
None of these
Answer: A
Question: The average of runs of a cricket player of 20 innings was 36. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
Choices:
106
122
116
120
Answer: D
Question: Find the length of a rectangle isdecreased by 40cm & the width is increased by 3cm, a square with the samearea as the original rectangle result. Find the perimeter of the original rectangle?
Choices:
40 cm
50 cm
64 cm
70 cm
Answer: B
Question: If the LCM of two integers M, N (where N> M and M>1) is M*N, then which of the following can not be true?
Choices:
Both M and N can be consecutive integers.
M and N do not share any Prime factors.
All Prime factors of M must be Prime factors of N.
M and N do not have a common factor.
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
4/7
4/2
4/9
Answer: A
Question: An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 16 times the difference between the two numbers. How many coins did the old man have?
Choices:
26
30
16
40
Answer: C
Question: At a meeting, 3 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
7
C)120
D)144
E)720
Answer: B
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.96 at the candy store. What is John’s weekly allowance?
Choices:
$3.00
$3.20
$3.60
$4.80
Answer: C
Question: If (c - a)/(c - b) = 3, then (5b - 5a)/(c - a) =
Choices:
1
1.5
3.33
2.5
Answer: C
Question: In the faculty of Reverse-Engineering, 220 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
Choices:
545.
618.
644.
636.
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively The ratio of their speeds is
Choices:
4 : 3
6 : 7
9 : 16
None
Answer: A
Question: 10x + 2y = -6
2x + y = 3
In the system of equations above, what is the value of x?
Choices:
2
1
-1
-2
Answer: D
Question: What is the value of n if the sum of the consecutive odd intergers Q from 1 to n equals 169?
Choices:
25
37
33
29
Answer: A
Question: If 0 < X < Y, X is an odd number and Y is a prime number, which of the following can be the value of X + Y ?
Choices:
13.
17.
10
7.
Answer: C
Question: If the complement of a certain angle is twice the measure of that certain angle, then what is the measure of that certain angle?
Choices:
30°
22.5°
18°
15°
Answer: A
Question: Seven students are trying out for the school soccer team, on which there are three available positions: fullback, sweeper, and goalie. Each student can only try out for one position. The first two students are trying out for fullback. The next two students are trying out for sweeper. The remaining three students are trying out for goalie. However, the fourth student will only play if the second student is also on the team, and the third student will only play if the fifth student is on the team. How many possible combinations of students are there to fill the available positions?
Choices:
5
7
10
12
Answer: A
Question: The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Choices:
21
23
26
29
Answer: B
Question: An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral triangle T1. A third equilateral triangle T3 is formed by joining the mid-points of T2 and this process is continued indefinitely. If each side of T1 is 45 cm, find the sum of the perimeters of all the triangles.
Choices:
220 cm
240 cm
270 cm
300 cm
Answer: C
Question: If a man buys 10 lollipops for $80 and sold them for $4 dollars determine his loss.
Choices:
40
70
80
90
Answer: A
Question: What should come in place of the question mark (?) in the following equation?
47(7.5) ÷ 47 3⁄2 × 4 7-3 = (√47)?
Choices:
2 1⁄2
6
3.5
None of these
Answer: B
Question: A 250 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
288
250
256
298
Answer: B
Question: a men walked 30m west 5m south 10m west 35m north to tollgate find the distance from the start gate?
Choices:
50m
60m
70m
80m
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
37/13 hours
80/13 hours
5/2 hours
30/43 hours
Answer: C
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
11.0
11.2
11.5
11.7
Answer: C
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 1 : 3. If X invested Rs.10,000. the amount invested by Y is
Choices:
Rs.30,000
Rs.60,000
Rs.80,000
None
Answer: A
Question: The average of first six prime numbers which are odd is?
Choices:
9.33
6.56
8.23
3.5
Answer: A