antoine-444/aqua_rat_dataset huggingface dataset:
Question: If two dice are thrown simultaneously, find the probability that the numbers appeared are equal?
Choices:
1/6
3/6
4/6
5/6
Answer: A
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become four times at the same rate?
Choices:
62 Â½ years
8 Â½ years
72 Â½ years
12 Â½ years
Answer: B
Question: A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
Choices:
152
160
44
176
Answer: C
Question: Ira and Jake will throw three dice each. The score is the sum of points on all three dice. If Ira scores 4 in her attempt, what is the probability that Jake will outscore Ira in his attempt?
Choices:
17/18
26/27
35/36
53/54
Answer: D
Question: Machine A produces pencils at a constant rate of 9000 pencils per hour, and machine B produces pencils at a constant rate of 7000 pencils per hour. If the two machines to gather must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time E, in hours, that machine B must operate?
Choices:
4
5 1/3
6
6 1/4
Answer: A
Question: What is the remainder when 12987^(65987036) is divided by 5?
Choices:
1
2
3
4
Answer: A
Question: In a factory, each day the expected number of accidents is related to the number of overtime hour by linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?
Choices:
3
4
5
6
Answer: A
Question: A voltage will influence current only if the circuit is:
Choices:
7
6
889
1
Answer: A
Question: A typist uses a sheet measuring 20cm by 30cm lengthwise. If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is
Choices:
60
64
72
None
Answer: B
Question: A is two years older than B who is twice as old as C. The total of the ages of A, B and C is 27. How old is B?
Choices:
20
15
10
5
Answer: C
Question: How many three-element subsets of {5,6,7,8,9} are there that do not contain the pair of elements 6 and 9?
Choices:
2
3
4
5
Answer: D
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 940 grams. Find the profit percent.
Choices:
5.38
4.38
6.38
3.38
Answer: C
Question: The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?
Choices:
12 and 18
24 and 16
21 and 63
22 and 88
Answer: B
Question: If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/q, which of the following statements could be false?
Choices:
(a*b)/n < ab
ab is multiple of 2.
(a*b)/n is a multiple of 2.
q is a multiple of 4.
Answer: D
Question: Find The Odd One Out ?
Choices:
BACK
TRAP
DRAW
FLOW
Answer: A
Question: The number of singles that a baseball player hit increased 11 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. If the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Choices:
1:3
1:1
2:1
11:3
Answer: A
Question: The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
Choices:
42
66
88
10
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Choices:
266
155
600
441
Answer: C
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
Choices:
2×8/11 hours
3×9/17 hours
4×1/2 hours
None
Answer: B
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
12
16
15
Answer: A
Question: Amit and Ananthu can do a work in 15 days and 45 days respectively. Amit started the work and left after 3 days. Ananthu took over and completed the work. In how many days was the total work completed?
Choices:
30 days
33 days
35 days
39 days
Answer: D
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 18 percent alcohol by volume?
Choices:
150
200
250
300
Answer: B
Question: Income and expenditure of a person are in the ratio 9 : 8. If the income of the person is Rs. 18000, then find his savings?
Choices:
Rs.3603
Rs.2000
Rs.3632
Rs.3602
Answer: B
Question: The cost per pound of tea and milk powder were the same in June. In July, the price of milk powder shot up by 200% and that of tea dropped by 80%. If in July, a mixture containing equal quantities of tea and milk powder costs $4.80 for 3lbs, how much did a pound of tea cost in July?
Choices:
$0.2
$1
$3
$1.65
Answer: A
Question: If a is the sum of m consecutive positive integers and b is the sum of n consecutive positive integers. For which of the following values of m and n is it impossible that a = b?
Choices:
m = 3; n = 6
m = 10; n = 4
m = 7; n = 9
m = 10; n = 7
Answer: B
Question: A five digit number is to be formed using each of the digits 1, 2, 3, 4 and 5 ONLY ONCE. How many numbers can be formed when 3 and 4 are not together ?
Choices:
36
60
72
120
Answer: C
Question: A car averages 30 miles per hour for the first 6 hours of a trip and averages 46 miles per hour for each additional hour of travel time. If the average speed for the entire trip is 34 miles per hour, how many hours long is the trip?
Choices:
8
12
14
16
Answer: A
Question: A 1100 m long train crosses a tree in 110 sec, how much time will It take to pass a platform 700 m long?
Choices:
190
188
180
12
Answer: C
Question: The area of a square field is 625 km2. How long will it take for a horse to run around at the speed of 25 km/h ?
Choices:
10 h
8 h
4 h
None of these
Answer: C
Question: For any triangle T in the xy–coordinate plan, the center of T is defined to be the point whose x–coordinate is the average (arithmetic mean) of the x–coordinates of the vertices of T and whose y–coordinate is the average of the y–coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (9,0) and center at the point (3,3), what are the coordinates of the remaining vertex?
Choices:
(3,6)
(0,9)
(6,4)
(9,6)
Answer: B
Question: The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
Choices:
71 years
74 years
77 years
79 years
Answer: A
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
Choices:
6 days
7 days
8 days
9 days
Answer: C
Question: The number of diagonals of a polygon of n sides is given by the formula z=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Choices:
5
6
7
8
Answer: A
Question: The ratio of the ages of three people is 4:6:7. Eight years ago, the sum of their ages was 61. Find their present ages.
Choices:
16,24,28
20,30,35
24,36,42
28,42,49
Answer: B
Question: In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability E that the worker is under 25 years old?
Choices:
0.25
0.45
0.70
0.90
Answer: C
Question: When you multiply a number by 4 and
then subtract 3, the result is the same as
if you first subtracted 7 from the same
number and then multiplied by 9. What
is the number?
Choices:
B)13
C)19
D)12
E)10
Answer: C
Question: One half of the workers at the biscuit company is technician,quarter is clerk,one-fifth are administrative and the other 25 are supervisors. How many workers total are there in the biscuit company?
Choices:
366
400
500
2500
Answer: C
Question: In Chess game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
Choices:
4/9
5/9
2/3
3/4
Answer: B
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
88
10
99
27
Answer: B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
17
12
18
12
Answer: B
Question: The instructions state that Cheryl needs 2 square yards of one type of material and 1/2 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 5/10 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Choices:
1/9
2
1 1/9
2 1/9
Answer: B
Question: The number of students enrolled at school XX this year is 7 percent more than it was last year. The number of students enrolled at school YY this year is 3 percent more than it was last year. If school XX grew by 40 more students than school YY did, and if there were 4000 total enrolled students last year at both schools, how many students were enrolled at school YY last year?
Choices:
1600
1920
2080
2400
Answer: D
Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?
Choices:
2885
2880
2876
2224
Answer: B
Question: There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
Choices:
Rs. 1800
Rs. 2000
Rs. 2400
None of these
Answer: B
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Choices:
15 days
16 days
18 days
20 days
Answer: A
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 18 as remainder
Choices:
1346
1378
1634.4
1489
Answer: C
Question: All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 154 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?
Choices:
1232
1129
2613
1372
Answer: A
Question: What least number must be subtracted from 7538 so that remaining no.is divisible by 14
Choices:
5
6
8
9
Answer: B
Question: A is 2 times as fast as B. A alone can do the work in 20 days. If A and B working together in how many days will the work be completed?
Choices:
13
21
24
25
Answer: A
Question: What is the difference between the place value and face value of 1 in the numeral 54315?
Choices:
9
5
1
10
Answer: A
Question: There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first and twice the second is 36. The larger of the two is
Choices:
9
12
15
17
Answer: A
Question: If (3^4)(5^6)(7^3) = (35^n)(x), where x and n are both positive integers, how many different possible values of n are there?
Choices:
2
3
4
6
Answer: B
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Choices:
1218
1210
1212
1229
Answer: B
Question: What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
Choices:
2876
1865
2506
1812
Answer: C
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are
Choices:
42,31
42,32
42,33
None of these
Answer: C
Question: Find the value of 72519 x 9999 = y?
Choices:
457687783
246567689
725117481
565776879
Answer: C
Question: In a survey of parents, exactly 9/10 of the mothers and 3/4 of the fathers held full-time jobs. If 40 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs?
Choices:
21%
19%
18%
16%
Answer: B
Question: The average age of a class of 20 students is 14 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
Choices:
41 years
42 years
43 years
36 years
Answer: D
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 20 m wide at the top and 12 m wide at the bottom and the area of cross-section is 800 sq m, the depth of cannel is?
Choices:
50
27
80
25
Answer: A
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is
Choices:
37
39
41
46
Answer: B
Question: Three pipes A, B and C can fill a tank in 5 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 6 hours. How many hours will take C alone to fill the tank?
Choices:
10
12
14
16
Answer: A
Question: The ratio of 2 numbers is 2:3 and their H.C.F. is 10. Their L.C.M. is ?
Choices:
60
20
10
40
Answer: A
Question: Truck X is 14 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 57 miles per hour and Truck Y is traveling at an average speed of 63 miles per hour, how long will it take Truck Y to overtake and drive 4 miles ahead of Truck X?
Choices:
3 hours 20 minutes
3 hours
2 hours 45 minutes
8 hours
Answer: B
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 atleast one black ball is to be included in the draw?
Choices:
64
52
86
24
Answer: A
Question: 9 points are marked on a straight line and another 10 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
105
196
27
14
Answer: C
Question: Sandy can do a job in 6 days and Molly can do the same job in 12 days. If they work together, in how many days will they complete the job?
Choices:
4 days
8 days
2 days
9 days
Answer: A
Question: If each edge of cube increased by 15%, the percentage increase in
Choices:
32.25
38.25
37.25
41.25
Answer: A
Question: Find the value of x in (x+1)/(x+3)=5
Choices:
-2.5
3.0
3.5
-3.5
Answer: D
Question: What will be the compound interest on a sum of Rs. 21,000 after 3 years at the rate of 12% p.a.?
Choices:
Rs. 8503.49
Rs. 10123.20
Rs. 10483.20
None
Answer: A
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
Choices:
12
14
16
18
Answer: B
Question: If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a eight-percent vinegar solution, what was the concentration of the original solution?
Choices:
17.3%
26.67%
35.5%
41.3%
Answer: D
Question: If n + 12 is a positive odd integer, which of the following must be true about the sum of the next four integers?
Choices:
It is a multiple of 4
It is a prime number
It is a multiple of 5
It is a multiple of 2
Answer: D
Question: Which of these expressions has the greatest value?
Choices:
1673211/1663212
1245671/1245675
1124471/1124476
1217861/1217864
Answer: A
Question: Replace X with the appropriate number in
5 , 6 , 8 , 9 , 13 , 15, 16, X
Choices:
20
21
17
18
Answer: D
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 45 seconds. What is the length of each train (in meters)?
Choices:
62.5
73.5
87.5
96.5
Answer: A
Question: . Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a?
Choices:
Rs.229
Rs.220
Rs.200
Rs.221
Answer: C
Question: A cook went to a market to buy some eggs and paid $12. But since the eggs were quite small, he talked the seller into adding two more eggs, free of charge. As the two eggs were added, the price per dozen went down by a dollar. How many eggs did the cook bring home from the market?
Choices:
12
15
16
18
Answer: D
Question: A train is moving at a speed of 100 km/hour. The length of the train is 100 metre. In how much time will it cross a pole?
Choices:
2.5 second
4 second
3.6 second
4.5 second
Answer: C
Question: If 4x+y=40, 2x-y=20, for integers of x and y, y^2=?
Choices:
4
0
10
3
Answer: B
Question: The difference between a number and its two-fifth is 510. What is 20% of that number?
Choices:
170
172
174
171
Answer: A
Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Choices:
66
28
41
61
Answer: C
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 4 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:2
4:4
4:8
4:1
Answer: A
Question: In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Choices:
8000
1988
1277
2081
Answer: A
Question: At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.6 minutes per mile and then turn around and drive at 0.6 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?
Choices:
b) 11
c) 55/3
d) 13
e) 14
Answer: B
Question: In a certain sequence of 9 numbers, each number after the first is 1 more than the previous number. If the first number is −5, how many of the numbers in the sequence are positive?
Choices:
One
Two
Three
Four
Answer: C
Question: Given the two equations 10r + 5s = 115 and r + 2s = 16, by how much does r exceed s?
Choices:
4
5
6
7
Answer: D
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $432 per week. How much does she earn in dollars per hour?
Choices:
8
9
11
12
Answer: D
Question: Three candidates contested an election and received 1000, 7000 and 100 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
60%
65%
90%
86.4%
Answer: D
Question: The area of square ABCD above is 18. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
Choices:
18−9/2∗π
9+9/4∗π
9+9/2∗π
9/2−9/4∗π
Answer: A
Question: P and Q are the only two applicants qualified for a short-term research project that pays 300 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
Choices:
$5
$15
$20
$25
Answer: A
Question: In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 50 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
B)0.6
C)0.45
D)0.3
E)0.25
Answer: A
Question: How many numbers from 29 to 79 are exactly divisible by 11
Choices:
5
8
9
11
Answer: A
Question: 7 boys take 12 days to complete a job. They worked for 5days, after 5days 2boys left the job. In how many days 5 boys will complete the job ?
Choices:
6 days
7 days
9 days
9 ⅘ days
Answer: D
Question: What is the sum of the odd integers from 35 to 55, inclusive?
Choices:
495
555
600
605
Answer: A
Question: The average of five results is 46 and that of the first four is 40. The fifth result is?
Choices:
88
70
66
51
Answer: B
Question: The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams W?
Choices:
W=32
64
128
512
Answer: A
Question: An empty pool being filled with water at a constant rate takes 4 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?
Choices:
5 hr 20 min
4 hr 48 min
3 hr 12 min
2 hr 40 min
Answer: D
Question: A photo-mat shop charges $0.50 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?
Choices:
5 films and 6 photos
5 films and 14 photos
6 films and 4 photos
6 films and 28 photos
Answer: B
Question: Positive integer e is divisible by 3. What is the remainder of dividing (4+2e)-e(1+1) by 3?
Choices:
1
2
3
4
Answer: A
Question: A car is traveling 60 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1360m/min
1000m/min
1670m/min
1890m/min
Answer: B
Question: A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?
Choices:
Rs. 4056
Rs. 5000
Rs. 5050
Rs. 6500
Answer: A
Question: find the ratio of 9th and 7th term of sequence 3.1, 5.6, 8.1, .....?
Choices:
181/61
247/194
231/181
408/203
Answer: C
Question: Marc wants to make a minimum net profit of 20% on a his headphones, which he bought for $500. If originally, he was selling the pair at 25% gain, what is the largest discount he can allow?
Choices:
0%
5%
3%
4%
Answer: D
Question: 1!+2!+3!+......+50!=?
Choices:
3.1035*10^64
3.1035*10^63
3.1035*10^62
3.1035*10^61
Answer: A
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both BG, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations Q are there for the children?
Choices:
240
720
1440
3600
Answer: A
Question: In a 1000 m race, A beats B by 320 meters or 25 seconds. Find the speed of B?
Choices:
9
12.8
5
2
Answer: B
Question: There are 6 red balls and 4 blue balls in a jar. If 3 balls are selected from the jar, what is the probability that all 3 balls selected are red balls?
Choices:
1/6
5/12
5/24
7/24
Answer: A
Question: If n is a positive integer, which one of the following numbers must have a remainder of 2 when
divided by any of the numbers 4, 5, and 6?
Choices:
24n + 2
80n + 2
90n + 2
120n + 2
Answer: D
Question: Out of 12 students in a class, 6 are wearing blue shirts, 4 are wearing green shirts, and 2 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
Choices:
35/44
65/77
75/88
85/99
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
150
180
250
230
Answer: A
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 67 kg. What is the weight of the new person?
Choices:
65
87
95
80
Answer: B
Question: If p/4 = r/2 and r = 0.75s, what is the ratio of p to r to s?
Choices:
8 : 12 : 9
12 : 6 : 8
6 : 4 : 3
12 : 8 : 3
Answer: B
Question: Adam is 40% more efficient than Blanc. How much time will they, working together, take to complete a job which Adam alone could have done in 20 days?
Choices:
11 1â„3 days
11 2â„3 days
20 days
11 3â„5 days
Answer: B
Question: X and Y are both integers. If X/Y = 59.80, then what is the sum of all the possible two digit remainders of X/Y?
Choices:
616
672
200
1024
Answer: C
Question: The last time Rohit bought Diwali cards, he found that the four types of cards that he liked were priced Rs.9.00, Rs.7.00, Rs.4.50 and Rs.5.50 each. As Rahul wanted 30 cards, he took five each of two kinds and ten each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How many notes did Rohit give?
Choices:
10
22
20
18
Answer: D
Question: 2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
Choices:
600
800
900
1000
Answer: B
Question: When x is divided by y, the quotient is t with remainder r. What is x in terms of r, y, and t?
Choices:
yt + r
x/y+r
y/t+r
rt + y
Answer: A
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Choices:
744
788
298
177
Answer: A
Question: A group of 12 girl scouts had enough food to last for 8 days when they arrived in camp. However, 4 more scouts joined them without the amount of food being increased. How long will the food last if each scout is given the same daily ration as originally planned?
Choices:
3
4
5
6
Answer: D
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
Choices:
1/129
1/526
1/121
1/126
Answer: D
Question: The value for S=(0.889 × 55)/9.97 to the nearest tenth is
Choices:
4.63
4.9
7.7
49.1
Answer: B
Question: In a class of 20 students, 2 students did not borrow any books from the library, 10 students each borrowed 1 book, 5 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
13
14
15
16
Answer: B
Question: 20^10 / 120^5=?
Choices:
5^6
(10/3)^5
6^3
15^3
Answer: B
Question: A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
Choices:
1390
2667
1898
1671
Answer: A
Question: The below sequence is a bit tricky. Can you solve it to find the next number?
5, 25, 325, 4325, ?
Choices:
38291
54325
38290
55291
Answer: B
Question: Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21
Choices:
-1
-7
-2
-4
Answer: A
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Choices:
12.6 Years
13 Years
13.5 Years
None
Answer: A
Question: Carl is facing very difficult financial times and can only pay the interest on a $30,000 loan he has taken. The bank charges him a quarterly compound rate of 10%. What is the approximate interest he pays annually?
Choices:
$2000
$2150
$2500
$12000
Answer: D
Question: Someone on a skateboard is traveling 13 miles per hour. How many feet does she travel in 25 seconds? (1 mile = 5280 feet)
Choices:
476.75 ft
480 ft
490 ft
500 ft
Answer: A
Question: If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true?
I. c - a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an integer.
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: D
Question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Choices:
2
3
4
98
Answer: A
Question: A student missed 6% of the questions on a test. If the student missed 12 questions, how many questions were on the test?
Choices:
150
200
250
300
Answer: B
Question: There are two clocks that are set at 8 0'clock in the morning. One clock is correct and the other clock gains 5 minutes per hour. When the faster clock shows the time 12:20 in the afternoon, what does the correct clock show?
Choices:
12:00:00
12:26
11:50
11:56
Answer: A
Question: 80% of a number is added to 120, the result is the same number. Find the number?
Choices:
600
1687
997
121
Answer: A
Question: Mr. Srinivas saves one coin of 5 on first day of the
week, three coins of 5 on the second day of the week.
Five coins of 5 on third day and so on. How much money will he has at the end of the week?
Choices:
245
2867
987
111
Answer: A
Question: A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6,7}. If no digit may be repeated and each password must be at least 6 digits long, how many passwords are possible?
Choices:
2 x 7!
6! x 7!
13!
14!
Answer: A
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
80
40
70
60
Answer: B
Question: A began business with 12500 and is joined afterwards by B with 50000. When did B join, if the profits at the end of the year are divided equally?
Choices:
9 months
10 months
7 months
None of these
Answer: A
Question: How many words can be formed by using all letters of the word 'BIHAR' ?
Choices:
120
157
136
142
Answer: A
Question: In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 27, find the number?
Choices:
1179
1196
1098
1197
Answer: D
Question: Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1.15, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have?
Choices:
$27.6
$30
$36
$40
Answer: A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180
110
120
130
Answer: A
Question: If a and b are multiples of 3 then which are all the multiples of 3
1) a/b
2) a^b
3) a+b
4) a-b
5) a*b
Choices:
1,2,4,5
1,2,5
all of these
1,2,3,5
Answer: D
Question: Three hundred students at College Q study a foreign language. Of these, 130 of those students study French, and 190 study Spanish. If at least 50 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
Choices:
40 to 100
60 to 100
60 to 120
70 to 110
Answer: C
Question: In how many different ways can the letters of the word MISSISSIPPI be arranged?
Choices:
11!/(4!4!2!)
11!/2!
11!
2×11!
Answer: A
Question: Find a a prime number from the options below.
Choices:
59
60
62
64
Answer: A
Question: One water pump can fill half of a certain empty tank in 7 hours. Another pump can fill half of the same tank in 7.5 hours. Working together, how long will it take these two pumps to fill the entire tank?
Choices:
1 5/8
3 1/4
7 7/29
3 1/2
Answer: C
Question: If the annual interest on a principal is 4%, how many years before the amount is double?
Choices:
25
12
13
17
Answer: A
Question: A and B started a business with an investment of Rs.26000 and Rs.28000. After two months C joined in the business with an investment of Rs.32000, what is share of C in the half year profit of Rs.9040 ?
Choices:
3120
2940
2560
3550
Answer: C
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
Choices:
27782
27891
25000
18771
Answer: C
Question: A,B,C together can do a work in 10 days. A alone can do the work in 50days and B alone can do the same work in 60 days. Find in what time C alone can do that work?
Choices:
15.8days
19.5days
20.6days
25.4days
Answer: A
Question: The cash difference between the selling prices of an book at a profit of 4% and 6% is $ 3. The ratio of the two selling prices is:
Choices:
58:53
52:53
42:36
38:53
Answer: B
Question: The speed at which a man can row a boat in still water is 26 kmph. If he rows downstream, where the speed of current is 4 kmph, what time will he take to cover 150 metres?
Choices:
18
28
12
25
Answer: A
Question: What is the unit digit of (8!*4! / 8!*3!)?
Choices:
1
2
3
4
Answer: D
Question: A T.V was sold at a loss of 10%. If it was sold for Rs.3500 more, there would have been a gain of 10%. What is the cost price?
Choices:
Rs. 18500
Rs.17500
Rs. 15500
Rs.15000
Answer: B
Question: If 625^(-x) + 25^(-x) + 5^(-4x) = 15, what is the value of x?
Choices:
-1/4
0
1/4
4
Answer: D
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choices:
6620
6629
6624
6622
Answer: A
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
250
260
270
Answer: A
Question: Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time R will the job be finished?
Choices:
12:30 p.m.
1:00 p.m.
1:30 p.m.
2:00 p.m.
Answer: B
Question: The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
56 cm2
18 cm2
98 cm2
40 cm2
Answer: D
Question: 6 friends went to a hotel and decided to pay the bill amount equally. But 5 of them could pay Rs. 100 each as a result 6th has to pay Rs. 100 extra than his share. Find the amount paid by him.
Choices:
220
130
240
None
Answer: A
Question: What is x if x + 2y = 12 and y = 3?
Choices:
B)8
C)6
D)4
E)2
Answer: B
Question: The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4,then the middle number is?
Choices:
11.5
15.3
9.3
10.6
Answer: A
Question: If the mode of Set Q is equal to the median of Set Q, Set Q could be
Choices:
[2, 2, 5, 7, 9]
[x, x+1, x+2, x+2, x+3, x+3]
[10, 102, 105, 105]
[4, 7, 10, 11, 25/2, 13, 13, 17, 29, 51, 51, 51]
Answer: B
Question: If 5<x<8<y<13, then what is the greatest possible positive integer difference of x and y?
Choices:
4
5
6
7
Answer: D
Question: How many different 3 letter combinations can be created from the letters A,B and C?
Choices:
3
9
27
243
Answer: C
Question: Today is Monday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Choices:
MONDAY
TUESDAY
WEDNESDAY
FRIDAY
Answer: D
Question: A farmer had d animals, all of which the farmer bought for the same price. The farmer decided to sell the animals. 16 of the animals were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, the farmer made neither a profit nor a loss. Which of the following is equal to d?
Choices:
24
28
32
36
Answer: A
Question: How many ways can six girls be selected from a group of ten girls?
Choices:
¹⁰C₄
4C₄
¹⁰P₄
¹⁰P₅
Answer: A
Question: What is the sum of the multiples of 4 between 34 and 135 inclusive?
Choices:
2100
2150
2200
2500
Answer: A
Question: A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 12 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?
Choices:
2/5
1/5
3/5
3/4
Answer: B
Question: How many seconds will a train 70 meters long take to cross a bridge 80 meters long if the speed of the train is 36 kmph?
Choices:
27 sec
25 sec
15 sec
11 sec
Answer: C
Question: What are the last two digits of (301*402*503*604*645*547*448*349)^2
Choices:
76
56
36
00
Answer: D
Question: What is the difference between the place values of two sevens in the numeral 54207479 ?
Choices:
99990
99980
699930
None of these
Answer: D
Question: Find a two digit number which is doubled and after that add +2 in it. and then reverse the number we would get the actual number.
Choices:
24
25
26
27
Answer: B
Question: Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 4, what is the probability that it is an even number?
Choices:
1/2
1/7
1/9
1/10
Answer: A
Question: Running at the same constant rate, 6 identical machines can produce a total of 300 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choices:
1800
2000
10800
10900
Answer: B
Question: If P represents the product of the first 16 positive integers, then P is NOT a multiple of
Choices:
84
72
65
51
Answer: D
Question: A mixture of 50 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 15% water?
Choices:
20
25
30
10
Answer: B
Question: What is the value of 3x^2 − 1.8x + 0.3 for x = 0.3?
Choices:
0
0.03
1.08
2.46
Answer: B
Question: How many positive three-digit integers are divisible by both 4 and 5?
Choices:
42
45
50
60
Answer: B
Question: A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choices:
4
6
8
2
Answer: A
Question: If four machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
Choices:
48
75
80
100
Answer: A
Question: Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 4 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
Choices:
16/3 minutes
192/7 minutes
224/7 minutes
28 minutes
Answer: A
Question: An emploer pays Rs. 20 for each day a worker works, and forfeits Rs. 3 for each day he is idle. At the end of 60 days, a worker gets Rs. 280 . For how many days did the worker remain idle?
Choices:
20 days
10 days
50 days
40 days
Answer: D
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 57 percent of those who attended the meeting were stockholders and 51 percent were employees, what percent were stockholders who were not employees?
Choices:
49
51
53
55
Answer: A
Question: A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ?
Choices:
6.2 hrs
2.2 hrs
1.2 hrs
3.2 hrs
Answer: B
Question: If -1 ≤ a ≤ 2 and 1 ≤ b ≤ 3, then least possible value of (2a – 3b) is:
Choices:
-11
-4
-5
-6
Answer: A
Question: The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 23 years. What is the age of the new member ?
Choices:
21 years
28 years
23 years
24 years
Answer: B
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?
Choices:
40 cm
20 cm
30 cm
50 cm
Answer: A
Question: The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 50%, then the value of X is ?
Choices:
18
16
15
6.7
Answer: D
Question: For any even integer P, 300 multiplied by P is square of an integer. What is the least value of P?
Choices:
3
10
12
14
Answer: A
Question: 3^13 + 3^13 + 3^13 =
Choices:
3^13
3^14
9^15
9^30
Answer: B
Question: If the annual increase in the population of a town is 10% and the present number of people is 12000, what will the population be in 2 years?
Choices:
15240
12456
11452
14520
Answer: D
Question: Bil and Jill work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Bil and Jill will both be chosen?
Choices:
B)1/4
C)1/15
D)3/8
E)2/3
Answer: B
Question: 10 friends went to a hotel and decided to pay the bill amount equally. But 9 of them could pay Rs. 50 each as a result 10th has to pay Rs. 180 extra than his share. Find the amount paid by him.
Choices:
140
110
120
None
Answer: C
Question: Four people each roll a die once. Find the probability that at least two people will roll the same number?
Choices:
13/18
14/18
15/18
16/18
Answer: A
Question: The average of first 20 natural numbers is?
Choices:
10.5
10.1
5.8
5.2
Answer: A
Question: What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 857.48 = 743.095 + ?
Choices:
790
580
770
890
Answer: B
Question: A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
50 sec
32 sec
49 sec
60 sec
Answer: B
Question: Last year, for every 100 million vehicles that traveled on a certain highway, 40 vehicles were involved in accidents. If 2 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
800
100
1000
950
Answer: A
Question: A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ?
Choices:
729
277
166
181
Answer: A
Question: For which of the following functions is f(d) = f(−d) for all values of d ?
Choices:
f(x) = −x
f(x) = 2x + 3
f(d) = −d^2 + 2
f(x) = 5x − 4
Answer: C
Question: Find Nikhil's present age, if
I. Five years ago, Nikhil's age was double that of his daughter's age at that time.
II. Present ages of Nikhil and his daughter are in the ratio of 11:6 respectively
III. Five years hence, the respective ratio of Nikhil's age and his daughter age will become 12:7
Choices:
Any two of the three
7
6
4
Answer: A
Question: 4 male and 6 female can cultivate a field in 8 days, 7 male and 3 female can cultivate a field in 10 days. then how many days will take to cultivate a field if 10 female works?
Choices:
120/19
140/19
120/18
120/17
Answer: A
Question: if x:y = 2:3, then find the value of
(7x+3y):(2x+y)
Choices:
23:7
16:5
17:5
None of these
Answer: A
Question: There are 50 boys in a class. Their average weight is 45 kg. When one boy leaves the class, the average reduces by 100 g. Find the weight of the boy who left the class.
Choices:
42.9 kg
49.9 kg
39.9 kg
None of these
Answer: B
Question: After a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 50% full. If the original contents of the reservoir totaled 280 billion gallons, the reservoir was approximately what percentage full before the storm?
Choices:
48%
54%
58%
65%
Answer: B
Question: A envelop weight 8.5 gm,if 880 of these envelop are sent with an advertisement mail. How much wieght?
Choices:
6.8kg
7.48kg
6.9kg
7.8kg
Answer: B
Question: The product X of two prime numbers is between 15 and 90. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
Choices:
29
37
44
85
Answer: D
Question: How many integers from 0 to 50 inclusive have a remainder of 3 when divided by 6?
Choices:
6
7
8
9
Answer: C
Question: If w is divisible by 15 and 9, w must be a multiple of which of the following?
Choices:
18
25
36
45
Answer: D
Question: A department of nine people - four men and five women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
Choices:
100
150
180
200
Answer: A
Question: If m, n and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^(mn)?
I. m+n
II. n^m
III. m^2 * n^2
Choices:
II only
III only
I and II
II and III
Answer: D
Question: A number when successively divided by 5, 3, 2 gives remainder 0, 2, 1 respectively in that order. What will be the remainder when the same number is divided successively by 2, 3, 5 in that order
Choices:
87
26
25
08
Answer: C
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
17.9 sec
61.9 sec
47.98 sec
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%
18 2/41%
18 4/11%
48 2/11%
Answer: A
Question: If a hostal has eleven romos and two of those romos has view to the lake and others has view to the camp. What is the probability that you get a room with view to the lake?
Choices:
2/11
1
none
12
Answer: A
Question: There were r red balls and y yellow balls in a bag. Three red balls and four yellow ones were added to the bag. What is the probability that a yellow ball and then a red ball will be selected if Jerry pulls out two balls at random, and puts the first ball back before pulling the second ball?
Choices:
(y+4)/(y+r+7)*(r+3)/(y+r+7)
(y+3)/(y+r+7)*(r+4)/(y+r+6)
(y+3)/(y+r+7)*(r+3)/(y+r+7)
(y+3)/(y+r+7) + (r+3)/(y+r+6)
Answer: A
Question: The area of a triangle is with base 4.5m and height 6m?
Choices:
10 m2
13.5 m2
19 m2
12.5 m2
Answer: B
Question: If y ¤ w = y^(2w) for all positive integers, then (3 ¤ 4) ¤ 2 =
Choices:
3^12
3^16
3^24
3^32
Answer: D
Question: Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent R of all the possible subcommittees that include Michael also include Anthony?
Choices:
30%
40%
50%
60%
Answer: B
Question: What is the scope including 1/31+1/32+1/33+......+1/40?
Choices:
1/5~1/4
1/4~1/3
1/3~1/2
1/2~1
Answer: B
Question: If x and y are positive integers, and 4x^2=3y, then which of the following must be a multiple of 8?
I. x^2
II. y^2
III. xy
Choices:
II only
III only
I and II only
I, II and III
Answer: B
Question: Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 110% more than Bert had in savings, and separately, the same price was also 20% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
Choices:
1:4
2:3
4:7
1:2
Answer: C
Question: If '×' means '+', '+' means '÷', '–' means '×' and '÷' means '–', then 6 × 4 – 5 + 2 ÷ 1 = ?
Choices:
14
15
17
18
Answer: B
Question: In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Choices:
22 years
97 years
16 years
14 years
Answer: A
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 160 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Choices:
320
500
520
720
Answer: A
Question: Find the least number which when divided by 38 and 3 leaves a remainder of 1 in each case.
Choices:
109
111
113
115
Answer: D
Question: On a sum of money, the S.I. for 2 years is $600, while the C.I. is $630, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
10%
12%
14%
16%
Answer: A
Question: Which of the following options must be positive, given 2 negative integers e and f?
Choices:
e/f
(e + f)^3
B and C
A and B above
Answer: D
Question: kamal finish a work in 15 days.vimal is 50% more efficient than kamal.then how much time vimal take to finish the work?
Choices:
10 days
12 days
14 days
11 days
Answer: A
Question: When Rahul was born, his father was 35 years older than his brother and his mother was 27 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
Choices:
11 years
9 years
8 years
7 years
Answer: A