antoine-444/aqua_rat_dataset huggingface dataset:
Question: WHAT IS correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code?
Choices:
− (3! + 2!)
− (3! × 2!)
+ 2!)
× 2!)
Answer: D
Question: What is 15% of 2/3 of 0.6?
Choices:
0.06
9
90
None of the above
Answer: A
Question: In a garden, four are three blue flowers, four red flowers, four green flowers, and four pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
Choices:
1/55
1/40
3/55
1/16
Answer: B
Question: Mary charges $8.50 per hour to clean a house. If she works 21 hours, how much
does she earn in one week?
Choices:
$278.50
$178.50
$418.50
$312.50
Answer: B
Question: A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 20%, what should be the sale price of the mixed tea?
Choices:
22
20
19.2
None of these
Answer: C
Question: Bruce purchased 8 kg of grapes at the rate of 70 per kg and 10 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1050
C)1055
D)1110
E)1075
Answer: C
Question: A group of 7 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 2 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x?
Choices:
2x/63
3x/70
3x/10
3x/7
Answer: A
Question: On a test, students receive 4 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?
Choices:
-1
0
1
4
Answer: D
Question: A train covers a distance of 12 km in 10 min. If it takes 2 sec to pass a telegraph post, then the length of the train is?
Choices:
40
20
100
60
Answer: A
Question: 25.25/1500 is equal to:
Choices:
0.012625333
0.125263333
0.126253333
0.016833333
Answer: D
Question: You collect pens. Suppose you start out with 5. Mike gives you another 20 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 10 pens. How many pens do you have at the end?
Choices:
40
41
42
43
Answer: A
Question: A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of
33 kms in 45 minutes. What is the ratio of their speed?
Choices:
3:4
1:2
4:3
5:5
Answer: A
Question: A small person is walking on the edge of a meter-stick. He can only take centi-meter sized steps. He repeats the following process of walking forward 12 steps and backwards 6 steps. How many steps in total will he walk until he falls off the meterstick?
Choices:
240
280
100
155
Answer: B
Question: If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean)E of x, x^2, x^3, x^4 and x^5 is equal to which of the following?
Choices:
13x
14x
16x
20x
Answer: C
Question: Victor gets 90% marks in examinations. If these are 405 marks, find the maximum marks.
Choices:
500
376
450
271
Answer: C
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 1/7 %
33 1/3 %
32 1/3 %
33 2/3 %
Answer: B
Question: A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 6days. B can do the work alone in?
Choices:
20
25
32
36
Answer: D
Question: The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
Choices:
Rs. 121.3
Rs. 124.75
Rs. 125.50
Rs. 126.87
Answer: B
Question: Which of these following integers is the square of an integer?
Choices:
20579623936
20946623822
20459623463
20232623378
Answer: A
Question: In a certain circle there are 10 points. What is the number of the triangles connecting 2 points of the 10 points?
Choices:
45
108
120
132
Answer: A
Question: Can you find out how many prime numbers that are less than 75 will leave an odd reminder when divided by 5?
Choices:
10
11
13
18
Answer: B
Question: During a special promotion, a certain filling station is offering a 8 percent discount on gas purchased after the first 10 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
Choices:
105%
115%
120%
140%
Answer: A
Question: Find the next number in the series below ?
298 209 129 58 ?
Choices:
10
-4
-10
0
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 1/9
33 1/3
33 1/2
33 1/23
Answer: B
Question: What should come in place of the question mark (?) in the following number series?
11 18 27 38 51 ?
Choices:
64
65
66
67
Answer: C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
Rs. 1500
Rs. 2000
Rs. 2500
none of the above
Answer: B
Question: What is the smallest number Q which when increased by 5 is completely divisible by 8, 11 and 24?
Choices:
259
269
270
282
Answer: A
Question: In a 600 m race, the ratio of the speeds of two contestants A and B is 5 : 4. A has a start of 100 m. Then, A wins by:
Choices:
200 m
403 m
20 m
23 m
Answer: A
Question: The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.2200, then what is the income of P1?
Choices:
s.2400
s.4000
s.5500
s.4200
Answer: C
Question: (935421 x 625) = ?
Choices:
584638125
584632125
544638125
584638125
Answer: A
Question: The number m yields a remainder p when divided by 10 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of m ?
Choices:
57
72
85
100
Answer: A
Question: Which of the following is a parallelogram?
Choices:
120,60,120,60(angle in deg)
95,95,90,90(angle in deg)
a & c
none
Answer: A
Question: Billy worked for three straight hours on his homework questions. If he solved 132 questions in the third hour, which was twice as many as he solved in the second hour, and three times as many questions as he solved in the first hour, how many questions did he solve total?
Choices:
242
424
525
622
Answer: A
Question: A certain ball team has an equal number of right- and left-handed players. On a certain day, one-third of the players were absent from practice. Of the players at practice that day, one-third were left handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of lefthanded players who were not at practice?
Choices:
1/5
5/7
7/5
3/2
Answer: A
Question: Find the next number in the series 1, 3 ,7 ,13 ,21 ,31
Choices:
43
41
45
51
Answer: A
Question: A furniture dealer purchased a desk for $120 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Choices:
$40
$80
$90
$100
Answer: A
Question: An investment Q gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
Choices:
$9,100
$8,250
$7,300
$7,150
Answer: C
Question: An engineer undertakes a project to build a road 10 km long in 60 days and employs 30 men for the purpose. After 20 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Choices:
15
30
45
60
Answer: B
Question: If A and B get profits of Rs. 6000 and Rs. 4000 respectively at the end of year the ratio of their investments are ?
Choices:
3:2
2:3
2:5
None of these
Answer: A
Question: If Y> 0 and Y is divisible by the product of the first nine positive integers, all of the following must be factors of Y except
Choices:
40
63
315
704
Answer: D
Question: Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8110/-. Find out the amount that he borrowed.
Choices:
Rs. 5,000
Rs. 5,100
Rs. 5266
None of these
Answer: C
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
9
7
6
4
Answer: A
Question: Two horses begin running on an oval course at the same time. One runs each lap in 4 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
Choices:
12
9
4
6
Answer: D
Question: Of the 120 passengers on Flight 750, 40% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
Choices:
40
50
52
56
Answer: A
Question: How much 70% of 100 is greater than 60% of 80?
Choices:
99
22
26
71
Answer: B
Question: In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Choices:
1160
1162
1122
1168
Answer: A
Question: Patrick purchased 80 pencils and sold them at a loss equal to the selling price of 30 pencils. The cost of 80 pencils is how many times the selling price of 80 pencils?
Choices:
0.8
1.375
1.4
1.85
Answer: B
Question: For each positive integer,the quantitySn is defined such thatSn+3=(Sn)^2 -S(n+1).in addition ,S2=1.then which of the following must be true.
Choices:
b)(S1)^2 +S4 +2=0
c) ifS1=-1thenS4 is also equal to-1.
d) ifS4 =-7thenS1=-2.
e) ifS1 =-3thenS4=-7
Answer: A
Question: If b is an even integer and b/18 is an odd integer, which of the following is NOT an even integer?
Choices:
(b^2)/8
(b^2)/9
(b^2)/6
(b^2)/2
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:
240n + 2
280n + 2
390n + 2
520n + 2
Answer: A
Question: Set R consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set R by 50, set Y is derived by multiplying each term in set R by 1.5, and set Z is derived by dividing each term in set R by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
Choices:
X, Z, Y
Y, Z, X
Y, X, Z
Z, Y, X
Answer: C
Question: Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
Choices:
60,81
68,88
60,84
60,81
Answer: C
Question: In a certain city each of 6 Bus lines is represented by a colored flag. Each flag consists of either a single color or a pair of two different colors. If each bus lines has a different flag, what is the minimum number of colors needed for the flags. (Assume that the order of colors in a pair on a flag does not matter.)
Choices:
4
3
1
5
Answer: B
Question: Sum of the squares of 3 no.'s is 62 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
24
26
18
30
Answer: C
Question: The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last of the three numbers?
Choices:
17
19
21
23
Answer: B
Question: A 9 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Choices:
1/5
2/9
1/3
2/5
Answer: B
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 80%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
50% decrease
40% decrease
45% increase
50% increase
Answer: C
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
860
875
950
1000
Answer: A
Question: The ages of two persons differ by 12 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
Choices:
20,8
25,15
30,10
None of these
Answer: A
Question: The area of a triangle is with base 10m and height 10m?
Choices:
10
50
122
12
Answer: B
Question: 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 18 men, 4 women and 10 children together complete the piece of work?
Choices:
15 days
28 days
4 days
7 days
Answer: C
Question: The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 198,000. What was the percent increase in the cost of the home?
Choices:
65%
55%
40%
33.3%
Answer: A
Question: A person takes 5hrs 45 min in walking to a place and riding back. He would have gained 5 hrs by riding both ways. The time he would take to walk both ways is?
Choices:
5 hours 55 min
6 hours 45 min
10 hours 45 min
11 hours
Answer: C
Question: Xavier starts from P towards Q at a speed of 50 kmph and after every 12 mins increases his speed by 10 kmph. If the distance between P and Q is 52km, then how much time does he take to cover the distance?
Choices:
60
48
70
80
Answer: B
Question: If 1/(a – 2) = 1/(a + 2) + 1/(a – 1), which of the following is a possible value of a?
Choices:
2
-3
3
0
Answer: D
Question: What is the sum of all the even numbers between 31 and 99, inclusive?
Choices:
2,562
2,500
2,180
2,766
Answer: C
Question: The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 2 unit of standard deviation above the mean?
Choices:
-33.0 degrees Celsius
-30.4 degrees Celsius
-27.8 degrees Celsius
-25.2 degrees Celsius
Answer: C
Question: In a box of 11 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
28/55
7/11
4/7
3/5
Answer: A
Question: A bag is filled with pennies and nickels in the ratio of 5to3. There are 30 nickles in the bag, how many coins are there in that bag?
Choices:
34
45
50
80
Answer: D
Question: Express a speed of 18 kmph in meters per second?
Choices:
06mps
09 mps
05 mps
11 mps
Answer: C
Question: Bus 1 and Bus 2 run between cities A and B. Bus 1 leaves city A at the same time Bus 2 leaves city B,
each at a constant rate of speed. Their first meeting is 70 miles from city A. After reaching their
respective destinations and immediately turning around, their second meeting is 30 miles from city B.
What is the distance in miles between city A and city B?
Choices:
120
125
150
180
Answer: D
Question: Two friends Simpson & Stewie decide to get together
So they start driving cars towards each other. They plan to meet halfway. Each is riding at 6 Km/hr. They live 36 kms apart. Stewie has a pet "eagle" and it starts flying the instant they start traveling. The eagle flies back and forth at 18 Km/hr between them until the two meet.
How many kms does the eagle travel ?
Choices:
54
86
45
62
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
6 years
5 years
2 years
Answer: A
Question: Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 36 seconds, the speed of each train (in km/hr) is
Choices:
12
28
20
24
Answer: A
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
26
30
18
11
Answer: B
Question: What will come in place of the x in the following Number series? 6, 12, x, 33 , 48
Choices:
35
39
41
21
Answer: D
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 37. In the company, what is the maximum number of non-managers in a department that has 11 managers?
Choices:
57
58
59
60
Answer: B
Question: Pane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
Choices:
36
70
80
150
Answer: A
Question: Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choices:
1:2
1:1
4:3
5:6
Answer: C
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 32.5 meters. How many times did the ball bounce?
Choices:
2
7
8
9
Answer: A
Question: How many 4 digit numbers can be formed which are divisible by 3 using the numerals 0, 1, 2, 3, 4, 5 (WITHOUT REPETITION)
Choices:
3152
240
600
168
Answer: D
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choices:
77
36
47
99
Answer: C
Question: Among the employees of a certain company, 50 percent of the employees are male and 48 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?
Choices:
0.4
0.5
0.6
0.7
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Choices:
500
266
288
261
Answer: A
Question: subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 20 pages.
Choices:
8
12
14
16
Answer: A
Question: When a 186 meters long rod is cut down into small pieces of length 2.0 meters each. Then how many pieces are available ?
Choices:
68
62
67
93
Answer: D
Question: The measurement of a rectangular box with lid is 25cmx24cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
Choices:
2302
2304
8640
964
Answer: B
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 6 games?
Choices:
x + y/(n + 3)
(x + 3y)/(n + 3)
(nx + 3y)/(n + 6)
(3x + ny)/(n + 3)
Answer: C
Question: Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 42 films, and broke even on none of them, how many of their films were profitable?
Choices:
19
20
21
41
Answer: D
Question: There are 40 people and 3 clubs M, S, and Z in a company. 12 people joined M, 14 people joined S and 7 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not
join any club?
Choices:
20
18
16
14
Answer: D
Question: A mother and father have seven children, and the family receives an invitation with four tickets to the circus. If the family decides to randomly select the four members who get to attend the circus, but determine that the chosen group must include at least one of the mother and father, how many different groups are possible to send to the circus?
Choices:
84
91
108
126
Answer: B
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
134
132
167
169
Answer: B
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Choices:
5%
4 1/2%
3 1/2 %
4%
Answer: A
Question: A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ?
Choices:
50 m
55 m
60 m
65 m
Answer: A
Question: If the mean of numbers 28, x, 70, 88 and 104 is 67, what is the mean of 50, 62, 97, 124 and x?
Choices:
75.6
73.5
79
77
Answer: A
Question: A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 920gm. for a kg.His gain is …%.
Choices:
5.36%
4.26%
6.26%
8.69%
Answer: D
Question: A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability T that all 3 jellybeans removed from the bag are blue?
Choices:
2/19
1/8
3/20
3/10
Answer: A
Question: 817 + 8.017 + 0.817 + 8.0017 = ?
Choices:
833.8357
839.6357
819.5637
819.6753
Answer: A
Question: How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 2 cannot appear more than once in the number.
Choices:
2295
2375
2380
2385
Answer: B
Question: Two numbers A and B are such that the sum of 7% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choices:
1 : 2
4 : 9
1 : 1
3 : 2
Answer: B
Question: Two identical circles intersect such that their centers and the points at which they intersect form a square of side 3 cm. What is the area of the region where the two circles intersect?
Choices:
9pi - 9
4.5pi - 9
9 - 2pi
pi^2 - 3
Answer: B
Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q’s age?
Choices:
2 years
25 years
Data inadequate
None of these
Answer: C
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 149 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choices:
1192
281
1184
282
Answer: A
Question: On dividing a number by 56, we get 27 as remainder. On dividing the same number by 8, what will be the remainder ?
Choices:
3
4
5
6
Answer: A
Question: Which of the following CANNOT be the median Q of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?
Choices:
(w+x)/2 - 1
(x+y)/2
(y+z)/2 -1
(w+x+y+z)/4
Answer: A
Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 4 hours and machine B produces k bottles in 7 hours. How many hours does it take machines A and B, working simultaneously, to produce 22k bottles?
Choices:
52
56
60
64
Answer: B
Question: How many cubes of 20 cm edge can be put in a cubical box of 1 m edge.
Choices:
125 cm
786 cm
617 cm
187 cm
Answer: A
Question: A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare, the jackal takes eleven leaps. Find the ratio of the speed of the hare to the speed of the jackal.
Choices:
8:11
5:8
3:11
5:2
Answer: A
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
66
40
88
12
Answer: B
Question: An artist wishes to paint a circular region on a square poster that is 5 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
Choices:
sqrt(2/pi)
2/sqrt(pi)
sqrt(12.5/pi)
pi/2
Answer: C
Question: Given that r = 98.3, which of the following best approximates the value of r/(2r + 2) ?
Choices:
1/3
1/2
4/7
2/3
Answer: B
Question: r=3^(n+1), then in terms of r, 9^n=
Choices:
r^2/9
r^2
r/3
r
Answer: A
Question: 12.5 * 3.2 * 8.8 = ?
Choices:
352
224
646
742
Answer: A
Question: The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time D will it take to fill the tank now?
Choices:
50% less time
75% less time
75% more time
100% more time
Answer: A
Question: There are 720 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Choices:
100
120
175
225
Answer: B
Question: On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?
Choices:
Thursday
Tuesday
Friday
KDDSS
Answer: C
Question: Ratio of two numbers x and y is 5:7. If x is increased by 20% and y is increased by 2 then the new ratio becomes 2:3. What is the ratio 3y:(x+6)
Choices:
7:8
6:7
7:6
2:7
Answer: A
Question: Raviraj invested an amount of 100000000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
Choices:
13,210
13,320000
13,1200000
133100000
Answer: D
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?
Choices:
18
20
24
30
Answer: C
Question: A train 150 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
8
2
4
Answer: B
Question: A batsman makes a score of 86 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
Choices:
29
38
49
59
Answer: B
Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choices:
Rs.1112
Rs.1182
Rs.992
Rs.702
Answer: C
Question: In how many different ways can 3 identical blue pants and 3 identical yellow pants be distributed among 6 children such that each child receives a pair of pants?
Choices:
20
519
46
1
Answer: A
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
56.25 %
56.75 %
58.25 %
51.25 %
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
4536
4538
4530
4531
Answer: C
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
20
10
15
35
Answer: A
Question: An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors Q does the number 4x have?
Choices:
3y
16y
5y
Cannot be determined
Answer: D
Question: In the coordinate plane, points (x, 6) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x * y =
Choices:
46
60
50
35
Answer: B
Question: In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 32 people were made to stand in a column, how many columns could be formed?
Choices:
15
25
30
35
Answer: A
Question: Set W consists of all the prime numbers between 10 and 25. What is the range of set W?
Choices:
12
16.6
17
23
Answer: A
Question: Fake City has a population of 200,221 people and nine districts that are represented by nine members of the city council.They wish to redraw the district lines so that each district consists of the same amount of people. How many people would have to move into Fake City for them to achieve their goal?
Choices:
2
3
4
5
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'LIVE' is?
Choices:
20
25
32
23
Answer: D
Question: I have an amazing bath tub having both hot and cold water taps.
The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approx 4 hours.
I turned them on simultaneously but forgot to close the lid which remove water out of tub.
The lid can empty the tub in exact 13 hours.
Since both taps are open along with the lib , can you estimate the time needed to fill the bath tub ?
Choices:
2 hours
3 hours
4 hours
5 hours
Answer: B
Question: Three numbers are in the ratio 1:4:6 and their H.C.F is 9. The numbers are:
Choices:
12,24,36
10, 20, 30
12, 24, 36
9,36,54.
Answer: D
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
33 7/3%
33 1/3%
33 1/6%
32 1/3%
Answer: B
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets 1000 more than D, what is B’s share?
Choices:
1500
2000
1400
None of these
Answer: B
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 60 miles per hour and the remainder at 40 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
Choices:
300
24,000
3,000
30,000
Answer: B
Question: The perimeter of a semi circle is 122 cm then the radius is?
Choices:
28
24
11
12
Answer: B
Question: Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 47 years. The age of E is?
Choices:
47
48
35
46
Answer: C
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If15 were to be added to each score, which of these three statistics would change?
Choices:
The mean and the median
The standard deviation only
The mean only
The mean and the standard deviation
Answer: A
Question: A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 20% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
Choices:
b) m/300
c) m/200
d) 3m/250
e) 350/m
Answer: C
Question: Find the value of 72514 x 9999 = m?
Choices:
725067486
653658791
725117481
357889964
Answer: A
Question: If e is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of e ?
Choices:
12
14
16
18
Answer: B
Question: An enterprising businessman earns an income of Re 5 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 10th day of business, he earns an income of:
Choices:
22
20
45
30
Answer: C
Question: 2,345
2,354
2,435
.....
....
+5,432
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 2,3,4,5 exactly once in each integer. What is the sum of these 24 integers?
Choices:
85,546
89,928
93,324
97,716
Answer: C
Question: A man sitting in a train which is travelling at 60 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
Choices:
52 kmph.
72 kmph.
80 kmph.
None
Answer: A
Question: If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
Choices:
47%
49%
40%
20%
Answer: C
Question: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 40 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
Choices:
800
600
700
500
Answer: A
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. If the test took 37 hours to complete, how many miles was the car driven during the entire test?
Choices:
120
180
200
240
Answer: B
Question: Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?
Choices:
55 toys
47 toys
27 toys
32 toys
Answer: C
Question: A certain store sells all maps at one price and all books at another price. On Monday the store sold 10 maps and 8 books for a total of $22.00, and on Tuesday the store sold 20 maps and 15 books for a total of $60.00. At this store, how much less does a map sell for than a book?
Choices:
$-5.4
$0.75
$1.00
$l.25
Answer: A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 11000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
Choices:
14
22
23
NONE
Answer: A
Question: Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 5 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?
Choices:
17%
4.0%
3.3%
2.8%
Answer: D
Question: 3 men or 6 women can do a piece of work in 22 days. In how many days will 12 men and 8 women do the same work?
Choices:
15/4 days
18/4 days
11/4 days
33/8 days
Answer: D
Question: A rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
Choices:
$240
$360
$960
$1,920
Answer: B
Question: Which of the following is not divisible by 3?
Choices:
41,714
15,354
30,708
29,313
Answer: A
Question: On my sister's birthday, she was 147 cm in height, having grown 5% since the year before. How tall was she the previous year?
Choices:
140 cm
142 cm
138 cm
135 cm
Answer: A
Question: In how many different ways can the letters of the word LEADING be arranged in such a way that the vowels always come together ?
Choices:
360
40320
720
None of these
Answer: C
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
7
6
5
Answer: A
Question: Johny went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?
Choices:
6 km
4.5 km
km
none of the above
Answer: B
Question: Find the cost of fencing around a circular field of diameter 39 m at the rate of Rs.1.50 a meter?
Choices:
132
156
158
128.73
Answer: D
Question: a train 50 m from bridge going east to west with a speed 10m/sec another train which is other side of bridge and 100 m from the bridge going west to east.if both will come at the same time on bridge,train will collide.lenght of bridge is 50m.what could maximum speed of second train so that first train pass the bridge before reaching second train.neglect the length of train.
Choices:
15
12
8
10
Answer: D
Question: Of the teams competing in the world archery championships, Forty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Choices:
15/20
13/15
7/20
13/17
Answer: C
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choices:
20
14
1
6
Answer: A
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
2778
1000
2997
2701
Answer: B
Question: If Sam goes to the store that was having a big sale and comes home saying he got a discount of Rs.140 from the original purchase price of Rs.400. What is the percentage of the rebate that Sam got from the store?
Choices:
25%
30%
35%
40%
Answer: C
Question: The largest three digit number which is a perfect cube, is:
Choices:
999
343
512
729
Answer: D
Question: If the ratio of the areas of two squares is 225:256, then the ratio of their perimeters is :
Choices:
15:14
15:16
15:22
None of these
Answer: B
Question: In a apartment, 40% of the people speak English, 10% speak Hindi and 20% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
2/3
3/5
2/7
2/9
Answer: B
Question: Jane and Thomas are among the 9 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 9 people if at least one of either Jane or Thomas is to be selected?
Choices:
73
79
85
91
Answer: D
Question: Which is better investment, 12% stock at par with an income tax at the rate of 5paise per rupee or 14 2/7 % stock at 120 free from income tax
Choices:
142/7 %
Both are qually good
cannot compared
none of these
Answer: A
Question: It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Choices:
Saturday
Monday
Friday
Sunday
Answer: C
Question: The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Arthur and David have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
Choices:
$0.40
$0.45
$0.48
$0.54
Answer: A
Question: Five friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
Choices:
17%
20%
25%
33%
Answer: A
Question: 0.009/x=0.02. find the value of X
Choices:
0.045
0.9
9
90
Answer: A
Question: A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
Choices:
27778
20000
27999
17799
Answer: B
Question: If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
Choices:
$60.60
$70.60
$40.60
$50.60
Answer: A
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 30 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
30
35
45
55
Answer: A
Question: Eden drove an average speed of 15 miles per hour for the first 20 miles of a tripthen at a average speed of 30 miles/hr for the remaining 20 miles of the trip if she made no stops during the trip what was eden's avg speed in miles/hr for the entire trip
Choices:
20
45
50
55
Answer: A
Question: If the probability that Brendon, Daniel and Kane score more than 700 on the GMAT is 0.4, 0.5 and 0.6 respectively, what is the probability that at least 2 of them score less than 700?
Choices:
0.38
0.40
0.5
0.6
Answer: C
Question: A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is?
Choices:
15
72
16
11
Answer: A
Question: Consider another example where a pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probability of drawing 2 blue pens and 1 black pen?
Choices:
8/81
7/81
6/81
None of these
Answer: A
Question: Find the unit digit in the product(2467)^153*(341)^72
Choices:
7
25
63
98
Answer: A
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
28
99
77
66
Answer: C
Question: All the students of class are told to sit in circle shape. Here the boy at the 7 th position is exactly opposite to 27 th boy. Total number of boys in the class?
Choices:
40
35
30
28
Answer: A
Question: The sum of ages of 5 kids born at the intervals of 3 years each is 50 years. Find the age of the youngest kid?
Choices:
4 years
3 years
6 yeasr
7 years
Answer: A
Question: A certain bus driver is paid a regular rate of $14 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $998 in total compensation, how many total hours did he work that week?
Choices:
51
58
55
52
Answer: B
Question: A can do a piece of work in 4 days. B can do it in 10 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20/3 days
67 days
17/6 days
18 days
Answer: A
Question: Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 7. Based on this information, how many gold coins would there be in this collection after the proposed trade?
Choices:
60
180
200
350
Answer: D
Question: Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6
Choices:
7/18
3/4
8/9
11/15
Answer: A
Question: The sum of 2 consecutive numbers is definitely:
Choices:
Positive.
Divisible by 3.
Divisible by 4.
Divisible by 5.
Answer: A
Question: A and B put in Rs.200 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Choices:
39:49
39:42
39:47
17:20
Answer: D
Question: At 6′o a clock ticks 6 times. The time between first and last ticks is 45 seconds. How long does it tick at 12′o clock
Choices:
76
28
66
99
Answer: D
Question: Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 8 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If one minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
Choices:
24
36
60
72
Answer: B
Question: A person lent a certain sum of money at 5% per annum at simple interest and in 8 years the interest amounted to $360 less than the sum lent. What was the sum lent?
Choices:
560
580
600
680
Answer: C
Question: At exactly what time past 6:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Choices:
20 13/17 minutes past 7:00
21 3/23 minutes past 7:00
21 9/11 minutes past 6:00
22 4/9 minutes past 7:00
Answer: C
Question: Ajay spends 45% of his monthly income on household items, 25% of his monthly income on buying cloths, 7.5% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.
Choices:
Rs. 40000
Rs. 50000
Rs. 45000
None of these
Answer: A
Question: Of 30 candidates for a job, 14 had at least 4 years of exper, 18 had degrees, and 3 had less than 4 years exper and did not have a degree, how many candidates had at least 4 years exper and a degree?
Choices:
b)13
c)9
d)7
e)5
Answer: D
Question: Out of first 30 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
2/30
4/90
24/30
24/60
Answer: C
Question: In a class, 20% of the students were absent for an exam. 30% failed by 20 marks and 10% just passed. Find the average score of the class if the remaining students scored an average of 65 marks and the cut off for passing the exam is 40.
Choices:
36
272
292
271
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
225 m
245 m
250 m
350 m
Answer: B
Question: How many 3 digit numbers can be formed from the digits 2,3,5,6,7 and 9 which are divisible by 5 and none of the digits is repeated?
Choices:
12
20
25
30
Answer: B
Question: The labeled price of a table is Rs. 6,500. 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. 5369
Rs. 6425
Rs. 7200
None of these
Answer: A
Question: An investor deposited $5,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
Choices:
$5100.50
$5200.50
$5300.50
$5400.50
Answer: A
Question: What will be the fraction of 5%
Choices:
1/20
1/75
1/25
None of these
Answer: A
Question: A committee is to be formed by randomly choosing 4 people from 7 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?
Choices:
2/7
3/7
3/35
4/35
Answer: A
Question: Walking at 3/4 of her normal speed, a worker is 8 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is
Choices:
24
28
32
36
Answer: A
Question: total 36 matches are conducted in Knockout match type. How many players will be participated in that tournament?
Choices:
35
21
32
26
Answer: A
Question: Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 2^a and y = 3^b, which of the following is a possible units digit of xy?
Choices:
4, 2, 8, 6
2 and 8 only
6 and 4
8 and 6
Answer: A
Question: Two stations A and B are 200 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10
11
12
8
Answer: C
Question: Find the no.of ways of arranging the boy and 10 guests at a circular table so that the boy always sits in a particular seat?
Choices:
10!
7!
9!
11!
Answer: A
Question: Some consecutive natural numbers, starting with 1, are written on the board. Now, one of the numbers was erased and the average of the remaining numbers is 800/39. Find the number which was erased.
Choices:
20
266
288
11
Answer: A
Question: Today Mary’s father is four times as old as Mary. Seven years ago, he was 7 times as old. How old is Mary today?
Choices:
12
13
14
15
Answer: C
Question: What is the perimeter of a square with area 9p^2/25 ?
Choices:
3p^2/4
3p
3p^2
12p/5
Answer: D
Question: Find the odd man out
253, 136, 352, 328, 631, 244
Choices:
328
352
631
531
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 3 years?
Choices:
2 : 1
1 : 2
3 : 2
1 : 4
Answer: A
Question: What is the smallest number which, when increased by 7, is divisible by 8, 11, and 24?
Choices:
257
269
270
282
Answer: A
Question: Which of the following must be non-negative number?
Choices:
(a+1)(a-1)
(a+0.9)(a+1)
(a-0.8)(a-0.8)
a(a+1)
Answer: C
Question: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Choices:
5/9
5/1
1/3
5/2
Answer: C
Question: If n = 8^11 – 1, what is the units digit of n?
Choices:
3
0
6
4
Answer: A
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2783 in 3 years. Find the rate percent?
Choices:
15
28
24
82
Answer: A
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
267
277
267
120
Answer: D
Question: Sum of two numbers is 25. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Choices:
B)9
C)11
D)13
E)15
Answer: A