antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two trains 135 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:
7.45
7.12
7.15
7.11
Answer: A
Question: Which of the following is equal to 3.14 x 106 ?
Choices:
3140
3140000
31400000
none of the above
Answer: B
Question: 252 can be expressed as a product of primes as :
Choices:
2 x 2 x 3 x 3 x 7
3 x 3 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7
2 x 3 x 7 x 3 x 2
Answer: A
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $1.30 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$275
$510
$1,250
$663
Answer: D
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choices:
2799
1000
2792
2912
Answer: B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
300 m
400 m
450 m
Answer: A
Question: Rs.900 is divided among Maya, Annie, Saiji so that Maya receives half as much as Annie and Annie half as much as Saiji. Then Saiji’s share is :
Choices:
Rs.300
Rs.400
Rs.600
Rs.500
Answer: B
Question: A train 136 m long pass a telegraph pole in 6 seconds. Find the speed of the train
Choices:
68.4 km/hr
82.8 km/hr
79.2 km/hr
None
Answer: B
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Choices:
7
9
2
8
Answer: A
Question: A man walking at a rate of 15km/hr crosses a bridge in 30 minutes. The length of the bridge is?
Choices:
1110m
950m
1500m
1300m
Answer: C
Question: Given a circular wheel of 3.62 m radius how many revolutions will the will make to travel a distance of 1 km?
Choices:
22754.3
25754.2
22753.2
22254.2
Answer: A
Question: Which of the following is equal to 1(2/5)%?
Choices:
1.4/100
1.2/100
12/100
12/10
Answer: A
Question: There are 2 red chips and 3 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Choices:
B)12
C)24
D)60
E)100
Answer: D
Question: If the sides of a triangle are 30 cm, 40 cm and 50 cm, what is its area?
Choices:
500
550
600
700
Answer: C
Question: From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 10, what is the probability that the 2 numbers included the number 5?
Choices:
2/5
3/10
3/5
1/3
Answer: D
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 50 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
24 sec
45 sec
60 sec
62 sec
Answer: B
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 11.9 the sixth number is?
Choices:
14.5
11.8
11.5
11.1
Answer: A
Question: F is a positive integer and 225 and 216 are both divisors of F. If F=(2^a)*(3^b)*(5^c), where a, b and c are positive integers, what is the least possible value of a+ b+ c?
Choices:
5
8
7
6
Answer: B
Question: Buses leave town B at 3 pm and every 10 hours after that. Buses leave town C at 4pm and every 15 hours after that. If the buses follow this schedule beginning on a Monday, what is the earliest day S on which the buses leave at the same time.
Choices:
Wednesday
Thursday
Sunday
S=The busses will never leave at the same time
Answer: D
Question: The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?
Choices:
85.
90
94
100
Answer: A
Question: Find the third proportional to 9 and 12?
Choices:
12
16
19
20
Answer: B
Question: What is the place value of 2 in the numeral 52468?
Choices:
2
200
20
2000
Answer: D
Question: A man sitting in a train which is travelling at 64 kmph observes that a goods train travelling in a opposite direction, takes 18seconds to pass him. If the goods train is 420 m long, find its speed.
Choices:
15
18
20
25
Answer: C
Question: A train 1500 m long can cross an electric pole in 50 sec and then find the speed of the train?
Choices:
107
108
109
110
Answer: B
Question: A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Choices:
6
7
9
8
Answer: A
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Choices:
500/3
900
480
600
Answer: B
Question: A mixture of 85 kg contains milk and water in the ratio 27 : 7. How much more water is to be added to
get a new mixture containing milk and water in the ratio 3:1?
Choices:
5 kg
7.5 kg
8 kg
9 kg
Answer: A
Question: I chose a number and divide it by 5. Then I subtracted 154 from the result and got 6. What was the number I chose?
Choices:
800
400
500
100
Answer: A
Question: A certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 70 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Choices:
40 %
35 %
32 %
21 %
Answer: D
Question: If (n+2)!/n!=72, n=?
Choices:
7
10
11
12
Answer: A
Question: How many integers are between 4 and 88/9, inclusive?
Choices:
4
5
6
7
Answer: C
Question: The sum of the two numbers is 14 and their product is 35. What is the sum of the reciprocals of these numbers?
Choices:
14/35
35/8
7/32
None of these
Answer: A
Question: What is the probability of rolling the same number exactly three times with five six-sided dice?
Choices:
5/18
35/216
125/648
225/1296
Answer: C
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 11 family members in a row for the picture?
Choices:
10×9!
9×10!
11!/2!
11!
Answer: B
Question: If a light flashes every 10 seconds, how many times will it flash in 2/3 of an hour?
Choices:
241
345
451
542
Answer: A
Question: You have 7 sticks of lengths 10, 20, 30, 40, 50, 60 and 70 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is
Choices:
6
7
10
13
Answer: D
Question: Let the number which when multiplied by 11 is increased by 300.
Choices:
20
26
28
30
Answer: D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3 : 2
3 : 4
2 : 1
None of these
Answer: A
Question: Solve:-
444 x 444 x 444 + 555 x 555 x 555 = ?(444 x 444 - 444 x 555 + 555 x 555)
Choices:
333
999
988
889
Answer: B
Question: If n is a 45-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 5
IV n is divisible by 45
Choices:
I and II only
I and III only
I .II, III and IV only
I, II and III
Answer: C
Question: How many different words beginning with O and ending with E can be formed with the letters of the word ORDINATE, so that the words are beginning with O and ending with E?
Choices:
6!
7!
7!/2!
None of these
Answer: A
Question: What is the average (arithmetic mean) of the numbers 16, 17, 17, 18, 19, 19 and 20?
Choices:
18
16
15
19
Answer: A
Question: Using all the letters of the word "NIA", how many words can be formed, which begin with N and end with A?
Choices:
6
9
3
1
Answer: D
Question: Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 4 hours to paint a wall with dimensions a and c. He takes 2 hours to paint a wall with dimensions b and c and 6 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 6, then what is the volume of the room?
Choices:
24 cubic meters
36 cubic meters
30 cubic meters
It can’t be determined.
Answer: B
Question: In how many years will the benefit Janet receives from her work double given that she receives a simple interest of 10% per annum on the initial agreed paid benefit.
Choices:
10
5
12
20
Answer: A
Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). In two sets of experiment, the temperature recorded for a chemical reaction to complete differed by 40 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Choices:
b) 13
c) 22
d) 45
e) 81
Answer: B
Question: Reena took a loan of 1400 with simple interest for as many years as the rate of interest. If she paid 224 as interest at the end of the loan period, what was the rate of interest?
Choices:
4
14
Cannot be determined
None
Answer: A
Question: How many times do the hands of a clock coincide in a day?
Choices:
77
22
23
21
Answer: B
Question: How many bricks, each measuring 40 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choices:
2400
4000
7000
3400
Answer: B
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
Choices:
5 hrs
6.5 hrs
7.2 hrs
None
Answer: C
Question: Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
A. Rs.29.25
Choices:
29.25
29.27
29.22
29.21
Answer: A
Question: On a magical-intellectual land of gpuzzles , all the animal are rational(real smart).
There are six leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
Choices:
3 leopard and 3 sheep
6 leopard and 2 sheep
5 leopard and 1 sheep
3 leopard and 3 sheep
Answer: C
Question: There are 6 people in the elevator. Their average weight is 160 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.
Choices:
97
189
190
200
Answer: A
Question: The guidelines at a certain college specify that for the introductory English class, the professor may choose one of four specified novels, and choose two plays from a list of 5 specified plays. Thus, the reading list for this introductory class has one novel and two plays. How many different reading lists could a professor create within these parameters?
Choices:
40
90
150
360
Answer: A
Question: Consider a right triangle AQC with length of sides being x,y and z where y represents the hypotenuse , Which of these represent the radius of the circle which is inscribed in triangle AQC
Choices:
[B] x-y+z/3
[C] x-y+z/2
[D] (x^2 + y^2 + z^2)/3
[E] cannot be determined
Answer: B
Question: If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss.
Choices:
$25
$30
$45
$50
Answer: D
Question: A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number E of tickets sold by the male members of the association
Choices:
56
58
62
66
Answer: B
Question: 36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible?
Choices:
2
8
9
5
Answer: D
Question: A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined
by B after 10 days. The number of days taken in completing the wotk were ?
Choices:
1523kmph
1623kmph
1723kmph
None of these
Answer: B
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team ?
Choices:
21 years
23 years
25 years
26 years
Answer: B
Question: A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
Choices:
55 kmph
54 kmph
33 kmph
37 kmph
Answer: B
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 80 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Choices:
18
40
24
30
Answer: B
Question: The average salary of all the workers in a workshop is Rs. 9500. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?
Choices:
B)21
C)52
D)56
E)12
Answer: D
Question: Car A runs at the speed of 42km/hr & reaches its destination in 6hr. Car B runs at the speed of 52 km/h & reaches its destination in 9h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
7 : 13
13 : 7
15 : 6
13 : 6
Answer: A
Question: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
Choices:
1/122
1/221
3/1253
2/153
Answer: B
Question: IF
1= O
2= T
3= T
4=F
5= F
THEN 6=?
Choices:
S
K
L
M
Answer: A
Question: The sum of the mean, the median, and the range of the set {1, 2, 4,6,8,10,12} equals which one of the following values?
Choices:
14.23
22.14
8.6
10
Answer: B
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:
9:1
9:8
9:5
9:0
Answer: A
Question: 5, 11, 17, 25, 33, 43, ?
Choices:
51
52
53
54
Answer: C
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 - x) is an odd negative integer
Choices:
II only
I and II
I
II and III
Answer: C
Question: What is the remainder if 7^8 is divided by 100?
Choices:
1
9
10
11
Answer: A
Question: If it takes a machine 2⁄3 minute to produce one item, how many items will it produce in 1 hours?
Choices:
4⁄3
90
120
180
Answer: B
Question: Two identical trains AA and BB running in opposite direction at same speed tale 2 min to cross each other completely. The number of bogies of AA are increased from 12 to 16. How much more time would they now require to cross each other?
Choices:
50 sec
60 sec
20 sec
25 sec
Answer: C
Question: In how many Q ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
Choices:
864
900
936
1,296
Answer: C
Question: When a person aged 39 is added to a group of n people, the average age increases by 2. When a person aged 15 is added instead, the average age decreases by 1. What is the value of W?
Choices:
7
9
10
11
Answer: A
Question: An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 12%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay?
Choices:
$88.00
$87.04
$80.96
$80.00
Answer: C
Question: The labeled price of a table is Rs. 6,000. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
Choices:
Rs. 4956
Rs. 6425
Rs. 7200
None of these
Answer: A
Question: A certain amount earns simple interest of 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Choices:
350
245
Cannot be determined
None of these
Answer: C
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 10 a.m.?
Choices:
6
7
8
10
Answer: D
Question: When the scores of the top four students are deleted, the average score of the remaining 66 students falls by 6 marks. Assume that it is possible for two or more students to have the same net score. What is the minimum score possible for the fourth ranking student if no student got a net score of more than 352?
Choices:
320
300
340
350
Answer: B
Question: A and B can do a work in 60 days; B and C can do it in 120 days; A and C can do it in 80 days. In what time A alone can do the work?
Choices:
90
80
70
60
Answer: A
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 200 m. Then, A wins by:
Choices:
100 m
43m
20m
23m
Answer: A
Question: IN Common Wealth Games an athlete runs 280 meters in 24 seconds. Hisspeed is ?
Choices:
42.42 km/hr
30 km/hr
32 km/hr
None of these
Answer: A
Question: In a throw of dice what is the probability of geÆ«ng number greater than 1
Choices:
1/3
1/5
5/6
None of these
Answer: D
Question: 4^5^6^7^8^9^10 find unit digit
Choices:
3
4
5
6
Answer: D
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:
21
33
51
61
Answer: A
Question: Simple interest on a sum at 9% per annum for 2 years is Rs.200. The C.I. on the same sum for the same period is?
Choices:
201.1
200.4
109.1
81.1
Answer: A
Question: A walks at 30 kmph and 30 hours after his start, B cycles after him at 55 kmph. How far from the start does B catch up with A?
Choices:
1980km
2000km
2500km
3600km
Answer: A
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
Choices:
10 km/hr
12.5 km/hr
9 km/hr
8 km/hr
Answer: A
Question: Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 6 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Choices:
7/10
4/5
5/4
Cannot be determined
Answer: A
Question: A man can row downstream at 22 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
12, 6
15, 3
14, 4
16, 6
Answer: D
Question: If x=y=2z and xyz=256 then what is the value of x?
Choices:
8
16
6
2
Answer: A
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 50 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1010
C)1065
D)1075
E)1080
Answer: A
Question: There are 1000 students in a school and among them 20% of them attends chess class. 10% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
Choices:
10
100
50
20
Answer: D
Question: Find the odd man out. 1,4,9,16,20
Choices:
10
25
6
14
Answer: B
Question: Havid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
Choices:
7/3*d
10/3*d
7/2*d
9/2*d
Answer: B
Question: Mike needs 30% to pass. If he scored 212 marks and falls short by 25 marks, what was the maximum marks he could have got?
Choices:
677
790
867
932
Answer: B
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 24 white marbles. How many red marbles could be in bag A?
Choices:
3
4
6
8
Answer: B
Question: The timing of a college is from 12 p.m to 4.20 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.
Choices:
45 minutes
30 minutes
48 minutes
58 minutes
Answer: C
Question: On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder. What is the divisor?
Choices:
163
852
456
852
Answer: A
Question: Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 15, 25 and 30, what is the minimum possible range in scores of the three test-takers?
Choices:
25
35
15
10
Answer: A
Question: There are 30 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Choices:
435
361
297
261
Answer: A
Question: A pump can fill a tank with a water in 2 hours. Because of a leak, it took 2 and 4/5 hours to fill the tank. The leak can drain all the water of the full tank in how many hours?
Choices:
5
6
7
8
Answer: C
Question: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
4(1/2)
4(1/8)
7(1/2)
4(5/2)
Answer: C
Question: At present George is 10 years older than Jason. After 5 years George will be twice the age of Jason. Find their present age.
Choices:
6 and 16
4 and 14
10 and 20
5 and 15
Answer: D
Question: A cyclist traveled for two days. On the second day the cyclist traveled 6 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 280 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
Choices:
5 mph
20 mph
30 mph
40 mph
Answer: A
Question: If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B?
Choices:
77
79
80
81
Answer: A
Question: The value of B+5B(BB)(2B)when B = 3 is:
Choices:
810
809
803
813
Answer: D
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. 5250. The monthly income of P is?
Choices:
B)Rs.4000
C)Rs.4050
D)Rs.4027
E)Rs.4020
Answer: B
Question: Timothy leaves home for school, riding his bicycle at a rate of 8 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 36 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?
I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks
Choices:
3
4
9
36/13
Answer: D
Question: A teacher can divide her class into groups into groups of 5,13 and 17. What is the smallest possible strength of the class?
Choices:
1768
1105
1286
2812
Answer: B
Question: is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 37, then how old is B?
Choices:
8
9
10
14
Answer: D
Question: If the cost of 6 erasers and 4 sharpeners is Rs.21/-. What will be the cost of 24 erasers and 16 sharpeners?
Choices:
Rs.84/-
Rs.64/-
Rs.88/-
Rs.99/-
Answer: A
Question: The contents of two vessels containing copper and tin in the ratio 1:2 and 2:5 are mixed in the ratio 1:4. The resulting mixture will have copper and tin in the ratio?
Choices:
21:28
31:74
33:37
41:92
Answer: B
Question: What will come in place of the question mark (?) in the following question?
112.36 + 225.05 + ? = 815.30
Choices:
477.8
477.81
477.89
477.84
Answer: C
Question: A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 7 cm x 6 cm. The maximum number ofboxes that can be carried in the wooden box, is
Choices:
1000000
7500000
2000000
None of these
Answer: C
Question: Two unbiased coins are tossed. What is the probability of getting at most one head?
Choices:
1/4
2/3
3/4
5/7
Answer: C
Question: Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 3 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?
Choices:
2.25
2.5
2.75
3.25
Answer: A
Question: What is the unit’s digit of 213 *212*347*468*778 ?
Choices:
6
7
8
9
Answer: C
Question: The product D of the first 10 prime numbers is closest to which of the following?
Choices:
6.5 x 10^8
6.5 x 10^9
6.5 x 10^10
6.5 x 10^11
Answer: B
Question: On a sum of money ,the simple interest for 2 years is Rs. 660,while the compound interest is Rs. 696.30,the rate of interest being the same in both the cases.The rate of interest is :
Choices:
10.5%
12%
None of these
Cannot be determined
Answer: C
Question: How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 34% iodine solution?
Choices:
49
100
105
136
Answer: D
Question: The duplicate ratio of 3:4 is?
Choices:
9:10
9:16
9:13
9:11
Answer: B
Question: Which of the following is NOT a factor of 5! ?
Choices:
3
4
5
6
Answer: D
Question: A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?
Choices:
47
83
92
98
Answer: A
Question: solve the following quadratic equation by factoring.
u^2-5u-14=0
Choices:
(8,9)
(3,2)
(5,3)
(-2,7)
Answer: D
Question: What is the smallest prime number with two sevens in it?
Choices:
177
277
377
108794769
Answer: B
Question: If neha is 10
Both Sonali and priyanka is 15
Both sadaf and tanu is 10.
how much is prinka by the same system ?
Choices:
11
10
15
6
Answer: B
Question: Look at this series: 53, 53, 41, 41, 29, 29, ... What number should come next?
Choices:
B)14
C)27
D)53
E)17
Answer: D
Question: If X boxes of grape juice cost 200 cents, how much will Y boxes cost in dollars?
Choices:
Y*4/x
Y*2/x
Y*6/x
Y*8/x
Answer: B
Question: √3 percent of 3√3 =
Choices:
1.0
0.1
2.0
5.0
Answer: B
Question: Jill is dividing her 16-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Choices:
25
1260
2520
6435
Answer: D
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 12 inclusive?
Choices:
840
1260
2520
27,720
Answer: D
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony ten hours from now?
Choices:
1,860,000
12,480,000
19,840,000
24,960,000
Answer: C
Question: Two trains of equal are running on parallel lines in the same direction at 50 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
70 m
80 m
82 m
84 m
Answer: A
Question: The greatest ratio out of 2:1, 5:8, 3:2, 8:9 and 8:5 is?
Choices:
2:1
5:8
8:5
8:9
Answer: A
Question: How many numbers from 10 to 40 are exactly divisible by 3?
Choices:
15
16
10
18
Answer: C
Question: Each of the following equations Q has at least one solution EXCEPT
Choices:
Q=–2^n = (–2)^-n
2^n = (–2)^-n
(–2)^n = –2^n
(–2)^-n = –2^-n
Answer: A
Question: A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is
Choices:
100 m
100√2 m
200 m
None
Answer: C
Question: The length and breadth of the floor of the room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of different colours are to be laid on the floor. Black tiles are laid in the first row on all sides. If white tiles are laid in the one-third of the remaining and blue tiles in the rest, how many blue tiles will be there?
Choices:
16
32
48
None of these
Answer: A
Question: A bag contains 70 black balls and 60 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
5/7
1/2
1/4
6/13
Answer: D
Question: If 20 men can build a wall 66 metres long in 8 days, what length of a similar can be built by 86 men in 8 days?
Choices:
283.8 mtrs
478.4 mtrs
488.4 mtrs
578.4 mtrs
Answer: A
Question: How many multiples of 6 are there between 30 and 140, 30 and 140 inclusive ?
Choices:
16
17
19
15
Answer: C
Question: The average height of 50 pupils in a class is 160 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
Choices:
151 cm
276 cm
287 cm
161 cm
Answer: D
Question: How many 5 digit ( digit = 0 - 9 ) zip codes can exist in which at least one digit is repeated ?
Choices:
49760
59760
69760
70000
Answer: C
Question: Express of the following as a fraction:
56%
Choices:
14/25
11/25
17/25
None of them
Answer: A
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, x
Choices:
26
41
35
29
Answer: C
Question: Two trains each 210m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 90km/h while the other travels at 85km/h. how long will it take for them to pass each other completely.
Choices:
2.6 sec
3.6 sec
8.6 sec
7.6 sec
Answer: C
Question: A can do in 6 day and B can do in 8 and C can do in 12 days but b left after working for 6 days for how many no of day A and C shluld work ?
Choices:
1 day
3 days
4 days
5 days
Answer: A
Question: A sum of money becomes double itself in 4 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
2
3
4
5
Answer: D
Question: Kim finds a 6-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Choices:
1/2
8/15
2/5
3/5
Answer: D
Question: Mahesh can do a piece of work in 60days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
Choices:
45
37
41
30
Answer: A
Question: Anne bought doughnuts for a class breakfast party. She bought 12 chocolate doughnuts, 6 coconut doughnuts, and 8 jam-filled doughnuts. How many doughnuts did Anne buy in all?
Choices:
26
39
21
11
Answer: A
Question: In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:3:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
Choices:
$720
$600
$450
$225
Answer: B
Question: If 20 men can build a wall 66 metres long in 6 days, what length of a similar can be built by 86 men in 8 days?
Choices:
378.4 mtrs
478.4 mtrs
488.4 mtrs
578.4 mtrs
Answer: A
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
276
29
12
Answer: A
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choices:
12
15
8
14
Answer: A
Question: Suppose 10 monkeys take 20 minutes to eat 10 bananas. How many monkeys would it take to eat 80 bananas in 80 minutes?
Choices:
10
11
20
13
Answer: C
Question: 10 men do a work in 10days. How many men are needed to finish the work in 2days?
Choices:
50
30
10
15
Answer: A
Question: A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is?
Choices:
65 years
45 years
75 years
95 years
Answer: B
Question: A certain telephone number has seven digits. If the telephone number has the digit zero exactly 3 times, and the number 1 is not used at all, what is the probability that the phone number contains one or more prime digits.
Choices:
1/16
1/2
15/16
23/24
Answer: C
Question: Look at this series: 2, 6, 18, 54, ... What number should come next?
Choices:
148
162
216
None
Answer: B
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.8
1.2
1.5
1.9
Answer: C
Question: The average age of 3 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
Choices:
30
25
38
27
Answer: B
Question: A retail store sells higher end dresses for $40 each and lower end dresses for $20 each. On every higher end dress the retail store makes a profit of $4 while on every lower end dress it makes a profit of $1. If on a given day the store's sales amounted to $400, which of the following cannot be the profit made on that day?
Choices:
$27
$30
$34
$40
Answer: A
Question: I walk a certain distance and ride the car back taking a total time of 33 minutes. I could walk both sides in 45 min. How long would it take me to ride both ways?
Choices:
20min
21min
22min
23min
Answer: B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 20%?
Choices:
480
512
288
276
Answer: B
Question: The Winston Pool League played a total of 90 balls of which the ladies sank 30%. After getting a good night's sleep, the ladies came back the next day and sank each of the next balls played bringing their average to 50%. How many ball did the league play for the ladies to achieve this average?
Choices:
30
46
26
36
Answer: D
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $650 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $725 as interest. What was the value of his total savings before investing in these two bonds?
Choices:
1,250
2,250
3,250
4,250
Answer: C
Question: A palindrome is a number that reads the same forward and backward, such as 787. How many even, 8-digit numbers are palindromes?
Choices:
4500
5000
9000
4000
Answer: D
Question: Calculate the ratio between x and y if 30% of x equal to 50% of y?
Choices:
3 : 5
3 : 7
3 : 2
4 : 5
Answer: A
Question: If the wages of 6 men for 15 days be Rs.2100, then find the wages of
for 12 days.
Choices:
Rs.2500
Rs.2520
Rs.2020
Rs.2650
Answer: B
Question: To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
Choices:
575 pieces.
675 pieces.
775 pieces.
None of these
Answer: B
Question: Let p be a prime number. If N = 8p, how many distinct even divisors does N have?
Choices:
4
5
2
3
Answer: C
Question: A boy is travelling from his home to school at 12 km/hr and reached 7 min late. Next day he traveled at 16 km/hr and reached 8 min early. Distance between home and school?
Choices:
12km
14km
15km
16km
Answer: A
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive?
Choices:
840
1260
2520
5020
Answer: A
Question: Find the odd man out
6, 26, 106, 426, 1706, 4325, 27304
Choices:
26
426
4325
6826
Answer: C
Question: The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 520 miles away. The pilot recognizes that the current engine, which can fly only 8 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
Choices:
5
12
40
160
Answer: A
Question: A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 189 km downstream
Choices:
4 hours
3 hours
2 hours
7 hours
Answer: D
Question: A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What will be the remainder when nm is divided by 6?
Choices:
1
0
3
4
Answer: B
Question: The value of a laptop depreciates at the rate of 30% every year. It was purchased 2 years ago. If its present value is Rs. 3430, its purchase price was
Choices:
6500
7000
7500
8000
Answer: B
Question: If x = -3/8 and y = -1/2, what is the value of the expression -2x – y^2?
Choices:
-1
1
1/2
7/4
Answer: C
Question: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Choices:
21
50
55
60
Answer: A
Question: What should be the minimun mark up percentage such that after giving the discount of 200/3% ., there will neither a loss nor a profit ?
Choices:
100%
neither gain nor loss
200%
120%
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20% ?
Choices:
25 %
15 %
20 %
23 %
Answer: C
Question: If a population of women in a town is 60% of men . What is the population of men as a % of population of women ?
Choices:
B)100%
C)50%
D)65%
E)166%
Answer: D
Question: In the set of positive integers from 1 to 100, what is the sum of all the odd multiples of 5?
Choices:
245
320
405
500
Answer: D
Question: What is the unit digit in (632)^179×(615)^316×(341)^476
Choices:
0
2
3
4
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
33/67
33/28
33/19
Answer: A
Question: Find the sum of all 2 digit numbers divisible by 3.
Choices:
26787
1267
1665
1781
Answer: C
Question: If the simple interest on a certain sum of money after 3 1⁄8 years is 1⁄4 of the principal, what is the rate of interest per annum?
Choices:
4%
8%
5%
12%
Answer: B
Question: If 0.75 : x :: 5 : 8, then x is equal to:
Choices:
1.62
2.0
1.21
1.2
Answer: D
Question: The difference between the place values of 6 and 1 in the number 527631 is
Choices:
587
533
568
599
Answer: D
Question: Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?
Choices:
16 2/3 %
20%
25%
183 1/3%
Answer: B
Question: Mary is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of white, 3 morsels of wheat, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Mary drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
Choices:
rye − white − white
wheat − rye − white
wheat− wheat − wheat
wheat − wheat− rye
Answer: A
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Choices:
36 years
40 years
48 years
45 years
Answer: B
Question: Express a speed of 36 kmph in meters per second?
Choices:
10 mps
18 mps
19 mps
11 mps
Answer: A
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:4
9:1
9:2
Answer: A
Question: How many different possible arrangements D can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
Choices:
720
900
1800
5040
Answer: B
Question: Each of the integers from 1 to 14 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even?
Choices:
12
11
10
8
Answer: D
Question: A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 1.1 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choices:
1.0
1.4
1.6
1.8
Answer: A
Question: A tour group of 25 people paid a total of $620 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$23.56
$24
$25.20
$30
Answer: A
Question: Will is 7 years older than Judy while George is 5 years younger than Judy. What is the age of Judy, If the sum of all of their ages is 32 years?
Choices:
20 years
10 years
15 years
19 years
Answer: B
Question: Which of the numbers 1, 2, 3, 4, or 5 is nearest in value to the sum
2007/2999+8001/5998+2001/3999=?
Choices:
2
3
4
5
Answer: B
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Choices:
Rs.1000
Rs.1250
Rs.2000
Rs.3000
Answer: C
Question: If in a triangle, the area is numerically equal to the perimeter, then the radius of the inscribed circle of the triangle is
Choices:
2
3
4
5
Answer: A
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Choices:
88 days
24 days
55 days
77 days
Answer: B
Question: A seven-digit phone number is divisible by 9. After adding the two digits of the area code the number is not divisible by 9, which of the following cannot be the area code?
Choices:
06.
05.
04.
09.
Answer: D
Question: A chair is bought for Rs.200/- and sold at Rs.310/- find gain or loss percentage
Choices:
20% gain
25% gain
30% gain
55% gain
Answer: D
Question: If the average (arithmetic mean) of x + 1, x + 5, and x + 9 is 0, then x =
Choices:
–5
–2
–1
0
Answer: A
Question: If each of 3 digit code is formed of integers from 1 to 30, inclusively, and each of the digits are different, how many possible codes are there?
Choices:
25423
26980
24698
24360
Answer: D
Question: One side of a triangle has length 6 and a second side has length 5. Which of the following could be the area of the triangle?
I. 20
II. 15
III. 5
Choices:
II only
III only
II and III only
I, II and III
Answer: C
Question: a is the product of each integer from 1 to 50, inclusive and b=100^k, where k is an integer . What is the greatest value of k for which y is a factor of a?
Choices:
6
8
9
10
Answer: A
Question: On what sum will the compound interest for 2 1⁄2 years at 10% amount to Rs. 31762.5?
Choices:
Rs.20000
Rs.25000
Rs.30000
Rs.50000
Answer: B
Question: If 10,000 microns = 1 decimeter, and 1,000,000angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
100
100,000
0.01
0.0001
Answer: A
Question: What least number must be subtracted from 2000 to get a number exactly divisible by 17 ?
Choices:
8
5
11
15
Answer: C
Question: In how many ways can the letters of the word RAVES be arranged in a row so that the vowels appear in alphabetic order?
Choices:
60
120
240
90
Answer: A
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
380$
411$
450$
480$
Answer: B
Question: If the function Q is defined by the formula Q = 5w/(4d(z^2)), by what factor will Q be multiplied if w is quadrupled, d is doubled, and z is tripled?
Choices:
2/9
4/9
3/9
2/27
Answer: A
Question: Annie and Sam set out together on bicycles traveling at 15 and 12 km per hour respectively. After 40 minutes, Annie stops to fix a flat tire. If it takes Annie 25 minutes to fix the flat tire and Sam continues to ride during this time, how many minutes will it take Annie to catch up with Sam assuming that Annie resumes riding at 15 km per hour?
Choices:
40
60
80
100
Answer: B
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 3, and 6, if the digits are allowed to repeat within a number?
Choices:
7770
8880
9990
10,110
Answer: C
Question: A shop owner sells 100 lemons and gains SP of 40 lemons. Find the gain %?
Choices:
64 2/3%
66 2/3%
66 5/3%
68 2/3%
Answer: B
Question: James went on a diet 12 months ago when he weighed 222 pounds. If he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 190 pounds?
Choices:
3.5
4
4.5
5
Answer: B
Question: You and your friend spent a total of $17 for lunch. Your friend spent $3 more than you. How much did your friend spend on their lunch?
Choices:
$3
$4
$10
$5
Answer: C
Question: There are 4 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Choices:
B)12
C)24
D)50
E)100
Answer: C
Question: If a is a positive integer and a^2 is divisible by 12, then the largest positive integer that must divide a ^3 is
Choices:
2^6
3^3
6^3
12^2
Answer: C
Question: Andy has 20 pairs of matched gloves. If he loses 15 individual gloves, which of the following is NOT a possible number of matched pairs he has left?
Choices:
11
13
14
15
Answer: B
Question: By selling 33 metres of cloth , one gains the selling price of 11 metres . Find the gain percent .
Choices:
30%
40%
50%
60%
Answer: C
Question: Mrs. Rodger got a weekly raise of $149. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$141
$142
$149
$145
Answer: C
Question: R is the set of positive odd integers less than 200, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Choices:
Two
Four
Five
Seven
Answer: D
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
Rs.270
Rs.275
Rs.324
Rs.325
Answer: A
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
16 2/3%
30%
40%
Answer: A
Question: If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =?
Choices:
6
−48
46
48
Answer: A
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Choices:
2:00pm, 220 km
2:00pm, 200 km
2:00pm, 208 km
2:00pm, 230 km
Answer: B
Question: One day when Ram was walking on the street, one boy requested him to donate for cancer patients welfare fund. He gave him a rupee more than half the money he had. He walked a few more steps. Then came a girl who requested him to donate for poor people's fund for which he gave two rupees more than half the money he had then. After that, again a boy approached him for an orphanage fund. He gave three rupees more than half of what he had. At last he had just one rupee remaining in his hand.How much amount did Ram have in his pocket when he started?
Choices:
Rs.58
Rs.35
Rs.42
Rs.52
Answer: C
Question: A positive number x is multiplied by 2, and this product is then divided by 4. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
9/4
4/3
2/3
1/2
Answer: A