antoine-444/aqua_rat_dataset huggingface dataset:
Question: Keats Library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 30% of the total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased?
Choices:
59%
71%
83%
95%
Answer: B
Question: 2 dice are tossed. What is the probability that the total score is a prime no. is?
Choices:
5/12
3/11
4/13
5/13
Answer: A
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Choices:
1/42
1/46
1/47
1/43
Answer: A
Question: By the how much is two-fifth of 200 greater than three -fifths of 25?
Choices:
3
5
30
65
Answer: D
Question: What two-digit number is less than the sum of the square of its digits by 10 and exceeds their doubled product by 5?
Choices:
94
26
73
None of the Above
Answer: A
Question: A can run 1.5 km distance in 2 min 20 seconds, while B can run this distance in 2 min 30 sec. By how much distance can A beat B?
Choices:
100 m
120 m
180 m
190 m
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 25 pages.
Choices:
10
12
14
16
Answer: A
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 14 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
45
60
90
105
Answer: D
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
74%
69%
64%
54%
Answer: C
Question: If b is a positive integer, then 3^b + 3^(b) =
Choices:
2^(b + 1)
2(3^b)
2b^(b + 1)
3(2^b)
Answer: B
Question: On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number Q of races we need to conduct to get the top 3 fastest horses?
Choices:
7
8
10
11
Answer: A
Question: The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 33 what is the value of a1 ?
Choices:
6
13
16
21
Answer: B
Question: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg. What might be the weight of the new person ?
Choices:
55 kg
80 kg
85 kg
25 kg
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 30 sec. What is the length of the train?
Choices:
178 m
186 m
168 m
500 m
Answer: D
Question: During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 135 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?
Choices:
320
360
420
480
Answer: B
Question: A soccer team played 130 games and won 60 percent of them. How many games did it win?
Choices:
94
100
125
78
Answer: D
Question: Among the employees of a certain company, 51 percent of the employees are male and 49 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:
0.6
0.5
0.4
0.7
Answer: C
Question: Set M contains numbers that satisfy the condition that, if integer x is in the set then x+2x will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.
I. -12
II. -1
III. 2
Choices:
I only
I and II only
II and III only
I, II and III
Answer: A
Question: A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $70 to incur a loss 20%?
Choices:
35
40
50
48
Answer: A
Question: J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 12 hours and M worked for 4 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?
Choices:
b)5y
c)6y
d)8y
e)9y
Answer: A
Question: Find the simple interest on Rs. 70,400 at 16 2/3% per annum for 9 months.
Choices:
s.8000
s.7500
s.8800
s.6500
Answer: C
Question: The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/3% loss
56 2/3% loss
26 2/3% loss
96 2/3% loss
Answer: A
Question: City A to city B, David drove for 1 hour at 60 mph and for 3 hours at 90 mph. What was the average speed for the whole trip?
Choices:
82.5
58.2
59
62
Answer: A
Question: The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:
Choices:
4 months
5 months
6 months
7 months
Answer: A
Question: The H.C.F of two numbers is 8. Which one of the following can never be their L.C.M?
Choices:
12
60
72
None
Answer: B
Question: A 1200 m long train crosses a tree in 80 sec, how much time will I take to pass a platform 1000 m long?
Choices:
146.66
188
180
12
Answer: A
Question: A loan has a variable interest rate that fluctuates between 8% and 10% of the base payment per month. If base payments remain at $350 each month and an additional monthly surcharge of 1% is added to the combined (base + interest), what would be the greatest possible payment due in any given month?
Choices:
$386.80
$387.50
$388.35
$388.85
Answer: D
Question: 12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
Choices:
17 bukets
18 bukets
19 bukets
None of these
Answer: B
Question: There are two inlets and one outlet to a cistern. One of the inlets takes 7/2 hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern. Both of the inlets are turned on at 8:30 AM with the cistern completely empty, and at 10:30AM, the outlet is turned on and it takes 1 more hour to fill the cistern completely. How much time does the outlet working alone takes to empty the cistern when the cistern is full?
Choices:
2.5 hours
3 hours
3.5 hours
4 hours
Answer: C
Question: There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 715. How many houses are there?
Choices:
86
81
91
101
Answer: A
Question: Set S is the prime integers between 0 and 50. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?
Choices:
3/8
15/28
4/5
3/4
Answer: C
Question: A working mom wakes up every day at 7 am and goes to sleep at 11 pm. She works 8 hours a day. Spends 2 hours working out at the gym. She spends 1.5 hours cooking dinner and doing dishes. She spends .5 of an hour giving her daughter a bath. She spends 1 hour helping with homework and getting her daughter ready for bed. She spends another. 5 of an hour packing lunches for the family for the next day. She spends .5 of an hour cleaning the house and 2 hours taking a shower and reading or watching t.v. before she goes to sleep. What percent of her day does she spend at work?
Choices:
50
70
55
40
Answer: A
Question: How many integer values W are there for x such that 1 < 3x + 5 < 17?
Choices:
Three
Four
Five
Six
Answer: C
Question: P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in --- days.
Choices:
12
20
24
28
Answer: A
Question: If n ≠ 0, which of the following must be greater than n?
I. 2n
II. n^2
III. 2 - n
Choices:
II only
I and II only
II and III only
None
Answer: A
Question: How many boxes do you need if you have to pack 240 pairs ornamental bangles into boxes that each hold 2 dozens of bangles?
Choices:
35
20
25
30
Answer: B
Question: Find the sum of first 26 natural numbers
Choices:
468
465
351
485
Answer: C
Question: What is the place value of 6 in the numeral 4634?
Choices:
500
600
800
840
Answer: B
Question: A man swims downstream 48 km and upstream 32 km taking 8 hours each time; what is the speed of the current?
Choices:
1
3
4
5
Answer: A
Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
Choices:
30
40
50
60
Answer: D
Question: If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
Choices:
420
480
500
600
Answer: C
Question: In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
145
552
288
132
Answer: A
Question: Sum of two numbers prime to each other is 20 and their L.C.M. is 99. What are the numbers?
Choices:
14 and 6
19 and 1
11 and 9
12 and 9
Answer: C
Question: Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents C watch all of the shows?
Choices:
108
42
21
-21
Answer: C
Question: n a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
Choices:
528
273
279
270
Answer: A
Question: A chemical supply company has 60 liters of a 35% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution?
Choices:
18
20
24
30
Answer: A
Question: Given that a “24-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 24-inch pizza gives you approximately what percent increase in the total amount of pizza?
Choices:
500
670
800
125
Answer: C
Question: If c ≠ 1 and if dc/(d - c) = 1, what is the value of d in terms of c?
Choices:
c/(1-c)
c/(c + 1)
(c + 1)/c
(1 - c)/c
Answer: A
Question: P can complete a work in 12 days working 8 hours a day.Q can complete the same work in 8 days working 10 hours a day. If both p and Q work together,working 8 hours a day,in how many days can they complete the work?
Choices:
60/11
71/11
72/11
70/11
Answer: A
Question: Find the number of different 4-letter words with or without meaning that can be formed from the letters of the word " NUMBER"
Choices:
360
320
420
440
Answer: A
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:
20
8
24
29
Answer: A
Question: In a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. If 8 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. How many dogs are in the shelter?
Choices:
25
30
45
60
Answer: B
Question: Before being simplified, the instructions for computing income tax in country R were to add 7 percent of one's annual income to the average(arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in country R's currency, for a person in that country whose annual income is I?
Choices:
50 + 15I/100
50+ I/40
100+ I/50
100+ 3I/100
Answer: A
Question: 10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
Choices:
20
13
5
none
Answer: D
Question: A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
Choices:
150
200
300
400
Answer: D
Question: What is the largest 4 digit number exactly divisible by 24?
Choices:
4678
8888
9504
9984
Answer: D
Question: A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
Choices:
Rs. 9129
Rs. 9120
Rs. 9000
Rs. 1922
Answer: C
Question: Darcy lives 1.5 miles from work. She can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. If she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. If it takes Darcy a total of 5 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
Choices:
20.5
25.5
30
60
Answer: A
Question: 36^6 is equal to which of the following?
Choices:
2,176,782,336
2,176,782,334
2,176,782,338
2,176,782,339
Answer: A
Question: Seven points lie on the circumference of a circle. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?
Choices:
5
6
0
20
Answer: C
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.27000 after completion of one year. What will be Jose's share of profit?
Choices:
15000
25000
34000
30000
Answer: A
Question: If 3x+4y=60 and 6x-4y=12, what is the product of x and y?
Choices:
54
54
72
12
Answer: C
Question: If the sum of a number and its square is 272, What is the number?
Choices:
16
19
21
None of these
Answer: A
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P+Q+R is:
Choices:
15700
17500
16000
16500
Answer: D
Question: Find the smallest number which should be multiplied with 36963 to make it a perfect square.
Choices:
7
4
3
6
Answer: C
Question: When 18 is divided by the positive integer k, the remainder is 4, for how many different values of k is this true?
Choices:
2
4
6
8
Answer: A
Question: A contractor undertakes to built a walls in 50 days. He employs 40 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?
Choices:
60
35
20
None of these
Answer: A
Question: If (A+B) = 4, (B+C) = 8 and (C+D) = 3, what is the value of (A+D)?
Choices:
8.
7.
2.
-1.
Answer: D
Question: There are 2 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?
Choices:
7/9
4/16
6/10
4/10
Answer: A
Question: For which of the following functions is f(z) = f(−z) for all values of z ?
Choices:
f(x) = −x
f(x) = 2x + 3
f(z) = −z^2 + 2
f(x) = 5x − 4
Answer: C
Question: Find 10 / 11 =110 / ?
Choices:
1100
121
100
None of these
Answer: B
Question: How many more years will it take to get another Rs.420 compound interest, if Rs.210 doubled in 2 years when compounded annually.?
Choices:
2 years
1 years
4 years
5 years
Answer: A
Question: A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 70 meters apart,then at what speed is the train traveling?
Choices:
110km/hr
50km/hr
150km/hr
210km/hr
Answer: D
Question: Amit and Meghna went to New York for a 63 day holiday .Each day ,Amit
spent as many as hundred dollar bills as the remaining number of days in the
trip (excluding the current day ) ,and Meghna spent as many as hundred
dollar bills as the number of days already spent (including current day).
How much per day would they have spent together during the holiday ?
Choices:
$10000
$6300
$5000
$4000
Answer: B
Question: How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 32 percent alcohol?
Choices:
5
20/3
8
300/17
Answer: D
Question: If the value of a piece of home decreases by 10% while the new tax rate on the home represent 110% of the original tax rate, what is the effect on the taxes?
Choices:
b- taxes increase by 1%
c- there is no change in taxes
d- taxes decrease by 1%
c- taxes decrease by 10%
Answer: C
Question: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
70 kmph
75 kmph
65 kmph
77 kmph
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 5 years and that for 9 years?
Choices:
2 : 3
1 : 2
3 : 2
5 : 9
Answer: D
Question: A boat can travel with a speed of 42 km/hr in still water. If the speed of the stream is 10 km/hr, find the time taken by the boat to go 74 km downstream
Choices:
2 hour 40 min
1 hour 25 min
1 hour 30 min
1 hour 50 min
Answer: B
Question: Solve for x: 2x â€“ y = (3/4)x + 3.
Choices:
4(y + 3)/5
(y + 6)
4(y - 6)/5
5/4(y-6)
Answer: A
Question: How many minutes does it take John to type a words if he types at the rate of b words per minute?
Choices:
a/b
ab
60a/b
b/(60a)
Answer: A
Question: The sum of three consecutive even numbers is 36, Find the first number?
Choices:
18
12
16
10
Answer: D
Question: Carl can wash all the windows of his house in 6 hours. His wife Maggie can wash all the windows in 5 hours. How many hours will it take for both of them working together to wash all the windows?
Choices:
2 1/4
11 8/2
4 1/2
5
Answer: B
Question: An empty pool being filled with water at a constant rate takes 6 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 00 min
3 hr 12 min
2 hr 40 min
Answer: B
Question: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
Choices:
126
172
178
155
Answer: C
Question: The average age of a class of 23 students is 22 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
Choices:
41
46
42
49
Answer: B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 22 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
210 m
187 m
176 m
186 m
Answer: A
Question: Rates for having a manuscript typed at a certain typing service are $6 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 30 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Choices:
$690
$650
$640
$770
Answer: A
Question: Rahim bought 55 books for Rs.1500 from one shop and 60 books for Rs.340 from another. What is the average price he paid per book ?
Choices:
s.18
s.16
s.11
s.10
Answer: B
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 15 as remainder
Choices:
1376
1456
1555
1635
Answer: D
Question: 1, 1, 3, 9, 5, 25, 7, 49 _, 81
Choices:
7
8
9
10
Answer: C
Question: A merchant marks his goods up by 30% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount?
Choices:
17%
69%
31%
19%
Answer: A
Question: How many integers between 10 and 100 are there such that their unit digit is odd?
Choices:
45
30
60
55
Answer: A
Question: If a,b ,and c are positive real numbers such that a(b+c) = 152, b(c+a) =162 , and c(a+b) = 170, then abc is
Choices:
b) 688
c) 704
d) 720
e) 750
Answer: C
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
Choices:
70 sec
90 sec
89 sec
60 sec
Answer: B
Question: During a sale of 30% on everything in a store, a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies. The store still makes a profit of 12% on this sale. What is the mark up percentage on each candy?
Choices:
80%
75%
66+2/3%
55%
Answer: A
Question: Average of six numbers is 30, and the sum of three of the numbers is 99, wat is the average of the other 3 numbers?
Choices:
27
29
35
33
Answer: A
Question: For integers a, b, and c, if ab = bc, then which of the following must also be true?
Choices:
A^2*b=b*c^2
A/c=1
ABC>bc
ba+b+c=0
Answer: A
Question: Ayesha's father was 45 years of age when she was born while her mother was 34 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
15 years
6 years
7 years
6 years
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
17 sec
48 sec
96 sec
17 sec
Answer: B
Question: Each truck from Dolphin Removal Company can haul 800 pounds of trash at a time.
On Wednesday the company has jobs to remove 2400 pounds of trash from one
site, 3200 from another site, and 4800 from a third site. How many total pounds of
trash will be moved by Jones Company that day? How many trips will it take for the
Jones Company to remove all of the trash?
Choices:
4500 lbs.-9 Trips
2500 lbs.-3 Trips
10400 lbs.-13 Trips
6500 lbs.-8 Trips
Answer: C
Question: If it takes 6 identical printing presses exactly 4 hours R to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers?
Choices:
4 hours, 20 minutes
4 hours, 48 minutes
5 hours, 48 minutes
6 hours, 50 minutes
Answer: B
Question: In the given series find the number which is wrong.
215,28,63,126,7,343
Choices:
28
126
343
625
Answer: C
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 80 inclusive?
Choices:
45
100
105
110
Answer: A
Question: 5, 10, 13, 26, 29, 58, 61, (....)
Choices:
64
122
125
130
Answer: B
Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Choices:
1758
1578
1289
2689
Answer: B
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. In how much time will the trains cross each other?
Choices:
10 sec
12 sec
60/7 sec
90/7 sec
Answer: A
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 13 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/60
1/50
1/900
Answer: B
Question: 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?
Choices:
6
7
8
9
Answer: B
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 15 sec. What is the length of the goods train?
Choices:
277
276
270
50
Answer: D
Question: Insert the missing number. 2, 7, 8, 17, 16, 27,
Choices:
22
46
62
68
Answer: A
Question: Find the number of trailing zeros in the product of (1^1)*(5^5)*(10^10)*(15^15) *(20^20)*(25^25)………. *(50^50).
Choices:
200
250
245
225
Answer: B
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most
Choices:
728
215
701
217
Answer: B
Question: 0.6 of a number is equal to 0.08 of another number. The ratio of the numbers will be
Choices:
4:3
2:15
2:9
3:8
Answer: B
Question: Which of the following is closer to (5!+4!)/(5!-4!)?
Choices:
1
12
15
13
Answer: A
Question: It takes John exactly 15 minutes to rake a lawn and it takes his son Todd exactly 30 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn?
Choices:
10
36
45
90
Answer: A
Question: X invested $200 in a business and Y invested $300 in a business. At the end of the year they got $1000 as the profit. Find their share?
Choices:
$200,$300
$300,$400
$400,$500
$400,$600
Answer: D
Question: There are two sections X and Y of a class, consisting of 72 and 88 students respectively. If the average weight of sections X is 80 kg and that of sections Y is 70 kg. Find the average weight of the whole class
Choices:
72.5
73.5
74.5
None
Answer: C
Question: A man has Rs. 240 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
45
75
90
105
Answer: A
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
Choices:
100
120
180
200
Answer: B
Question: Which of the following statements must be true?
I. The product of first 100 prime numbers is even.
II. The sum of first 100 prime numbers is odd.
III. The sum of first five non-negative even numbers is divisible by both 4 and 5.
Choices:
II only
I and II only
I and III only
I, II and III
Answer: D
Question: In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.8, 9.0, 6.0, and 8.5, what was the point value of the dive?
Choices:
73.6
75.2
76.8
79.36
Answer: D
Question: On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 20. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?
Choices:
(4, 5)
(-5, 7)
(-2, -20)
(-15, -3)
Answer: C
Question: How many minutes is it before 12 noon if 20 minutes ago it was three times as many minutes after 9 am?
Choices:
40
42
55
29
Answer: A
Question: A track covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minute. The ratio of their speeds is:
Choices:
3:5
3:4
50:3
None
Answer: B
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
Rs.2.4
Rs.2.5
Rs.2.1
Rs.2.9
Answer: B
Question: The volume of a cube is 1728 cc. Find its surface.
Choices:
864
255
287
267
Answer: A
Question: A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.120/- extra, then how much amount he took?
Choices:
Rs.6000/-
Rs.4000/-
Rs.7000/-
None of these
Answer: A
Question: A factory has 500 workers, 13 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?
Choices:
10
45
30
35
Answer: B
Question: If an object travels 300 feet in 6 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Choices:
31
32
33
34
Answer: D
Question: How many times will the digit 6 be written when listing the integers from 1 to 1000?
Choices:
280
310
420
300
Answer: D
Question: A man caught some fish. The 2 heaviest fish had a combined weight
which was 25% of the total weight of all the fish. The 5 lightest fish had
a combined weight which was 45% of the total weight of all the fish. He
put the 2 heaviest fish in the freezer and ate the 5 lightest fish for lunch.
His cat took all the remaining fish. How many fish did his cat take?
Choices:
6
4
3
2
Answer: C
Question: Kim has 4 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 8 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
1/7
1/9
1/10
1/25
Answer: A
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Choices:
132
278
279
222
Answer: A
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 11 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
45
60
90
63
Answer: D
Question: Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many hours does it currently take Anne to clean the house on her own?
Choices:
7
8
12
14
Answer: C
Question: In how many different number of ways 4 men and 3 women can sit on a bench such that women always sit together.
Choices:
720
724
728
740
Answer: A
Question: 2, 6, 12, 20, 30, 42, 56, (...)
Choices:
72
64
70
65
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 45 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
45
66
55
22
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 2.9 km and 1.6 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
277
48
96
108
Answer: D
Question: There is enough provisions for 700 men in an army camp for 25 days. If there were 300 men less, how long will the provision last?
Choices:
40days
50days
59days
65days
Answer: C
Question: At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 15 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Choices:
11/36
5/9
2/3
25/36
Answer: B
Question: Raja is able to sell a hand-carved statue for $805 which was a 15% profit over his cost. How much did the statue originally cost him?
Choices:
$700
$555.40
$574.90
$588.20
Answer: A
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
80
90
100
110
Answer: B
Question: If p, q, and r are consecutive integers such that p > q > r and the sum of p, q, and r is a multiple of 10, which of the following could be the value of p?
Choices:
1
9
10
12
Answer: A
Question: In one hour, a boat goes 19 km/hr along the stream and 9 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
13 kmph
14 kmph
15 kmph
16 kmph
Answer: B
Question: The product of all the prime numbers less than 10 is closest to which of the following powers of 10 ?
Choices:
10^8
10^2
10^6
10^5
Answer: B
Question: Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born.What is the difference between the ages of her parents
Choices:
4 years
6 years
8 years
9 years
Answer: B
Question: The average weight of 5 person's increases by 10.0 kg when a new person comes in place of one of them weighing 40 kg. What might be the weight of the new person?
Choices:
76.5 kg
90 kg
Data inadequate
None of these
Answer: B
Question: A bag contains 4 red, 4 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/15
5/26
3/29
4/27
Answer: A
Question: Three numbers are in the ratio 1: 2 : 3 and their H.C.F. is 12. The numbers are?
Choices:
10, 20, 30
12, 24, 36
11, 21, 31
21, 24, 32
Answer: B
Question: The average of a set of five distinct integers is 390. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?
Choices:
-3,997
-3,494
-4,044
The answer cannot be determined from the information given
Answer: C
Question: In a garden, there are 10 rows and 13 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Choices:
22 m
24 m
26 m
28 m
Answer: C
Question: Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 333 and for 36kgs of Apples is 366 then the cost of first 15 kgs of Apples is
Choices:
3.66
3.6
150
3.61
Answer: C
Question: A set of numbers has the property that for any number x in the set, x+5 is also in the set. If -5 is in the set, which of the following must also be in the set
1. -10
2. 10
3. 0
Choices:
2 only
1 and 3 only
2 and 3 only
1,2 and 3
Answer: B
Question: Magnabulk Corp sells boxes holding i magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
Choices:
bi/(100m)
100bi/m
m/(bi)
bi/m
Answer: B
Question: If the average leaves of three teams of 10,20,30 employees respectively is 10,15,20 what is the average leaves of all the employees?
Choices:
14.89
16.66
12.76
13.87
Answer: B
Question: Three friends A, B and C decide to run around a circular track. They start at the same time and run in the same direction. A is the quickest and when A finishes a lap, it is seen that C is as much behind B as B is behind A. When A completes 3 laps, C is the exact same position on the circular track as B was when A finished 1 lap. Find the ratio of the speeds of A, B and C?
Choices:
4 : 3 : 2
5 : 4 : 3
3 : 2 : 1
None of these
Answer: B
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 290 m long?
Choices:
52 sec
45 sec
48 sec
50 sec
Answer: A
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 30 percent, but profits were 10 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Choices:
70%
120%
124.2%
138%
Answer: A
Question: Last year, the population of a town was x and if it increases at the same rate, next year it will be y. the present population of the town is
Choices:
(y-x)/2
2xy/x+y
√xy
None
Answer: C
Question: Tough and Tricky questions: Number Properties.
If (z + 2)/5 is an integer, what is remainder when z is divided by 5?
Choices:
4
3
5
6
Answer: B
Question: 1399 x 1399
Choices:
1957201
18362619
2031719
None of these
Answer: A
Question: Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion. In 6 years from now, Lyn the circus Lion will be exactly half as old as Ele, the circus Elephant. How old is Ele today?
Choices:
16
14
13
18
Answer: D
Question: 0.0015÷ ? = 0.003
Choices:
0.005
0.5
5
50
Answer: B
Question: As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, three orange ice pops, and six lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous of the other and getting even more upset. What is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
13/20
15/22
17/24
19/26
Answer: B
Question: The area of a rectangular field is equal to 800 square meters. Its perimeter is equal to 120 meters. Find the width of this rectangle.
Choices:
10
15
20
25
Answer: C
Question: If the cost price of 50 articles is equal to the selling price of 32 articles, then the gain or loss percent is?
Choices:
56.25
78
33
25
Answer: A
Question: Alice the number theorist knows the rule for testing if a number n is divisible by 3:
n is divisible by 3 if and only if the sum of the digits of n is divisible by 3.
When Alice visits Mars, she finds that the Martians have six hands, and six fingers on each
hand, so that they count in base 36. In base 36, Alice’s divisibility test doesn’t work for testing
divisibility by d = 3. But it does work for one of the d listed below. Which one?
Choices:
7
10
11
15
Answer: A
Question: The perimeter of a square is 64 m. Find the area of the square.
Choices:
164 mÂ².
166 mÂ².
256 mÂ².
273 mÂ².
Answer: C
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.672 find the share of A.
Choices:
256
379
277
122
Answer: A
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.60 only. Menâ€™s wages are?
Choices:
2Rs
4Rs
9Rs
3Rs
Answer: B
Question: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Choices:
78
15
92
29
Answer: C
Question: The number which exceeds 16% of it by 63 is :
Choices:
75
58
60
62
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 108o. Find its perimeter?
Choices:
81.6cm
90cm
92cm
95cm
Answer: A
Question: 6 3/4 + 7 2/17 - 9 1/15=?
Choices:
9 817/1020
9 719/1020
4 817/1020
None of them
Answer: C
Question: One of the longest sides of the triangle is 20 m,the other side is 10 m.Area of the triangle is 80m^2.What is the another side of the triangle?
Choices:
2sqrt(62)
2sqrt(63)
2sqrt(64)
2sqrt(65)
Answer: D
Question: Tomy's age 24 years hence will be thrice his age four years ago. Find Tomy's present age?
Choices:
13 years
15 years
17 years
18 years
Answer: D
Question: A trader has 50 kg of rice, a part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4% . What is the quantity sold at 14% profit and that at 6% loss?
Choices:
5 and 45 kg
15 and 35 kg
20 and 30 kg
40 and 30 kg
Answer: A
Question: In a mixed college 160 students are there in one class. Out of this 160 students 3/8 students are girls. How many boys are there ?
Choices:
B)60
C)80
D)100
E)140
Answer: C
Question: A trader expects a gain of 15 % on his cost price. If in a week his sale is of Rs. 580, then what is his profit?
Choices:
75.65
72.5
70.78
71.62
Answer: A
Question: Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
Choices:
38 years
39 years
64 years
67 years
Answer: A
Question: Share Rs.6000 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
Choices:
980
1200
1240
2000
Answer: D
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Choices:
2999
2799
2781
10500
Answer: D
Question: For any positive number x, the function [x] denotes the greatest integer less than or equal to x. For example, [1] = 1, [1.367] = 1 and [1.899] = 1. If k is a positive integer such that k^2 is divisible by 45 and 80, what is the units digit of k^3/4000 ?
Choices:
1
27
54
0
Answer: D
Question: A freight elevator can carry a maximum load of 1140 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?
Choices:
45
190
215
210
Answer: A
Question: The product of a and b is equal to 14 more than twice the sum of a and b. If b = 8, what is the value of b - a?
Choices:
3
7
24
35
Answer: A
Question: A batsman makes a score of 76 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning.
Choices:
28
42
45
None of the above
Answer: A
Question: If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
11 1/5%
11 1/9%
11 7/9%
21 1/9%
Answer: B
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Choices:
3:4:7
9:4:7
3:4:6
3:5:7
Answer: A
Question: Suresh Raina and Gautam Gambhir after a scintillating IPL match decide to travel by cycle to their respective villages. Both of them start their journey travelling in opposite directions. Each of their speeds is 6 miles per hour. When they are at a distance of 50 miles, a housefly starts flying from Suresh Raina's cycle towards Gautam Gambhir at a relative speed of 17 miles per hour with respect to Raina's speed. What will be the time taken by housefly to reach Gambhir?
Choices:
10
27
36
19
Answer: A
Question: If 5+3+2=151022, 9+2+4=183652, then 7+2+5=?
Choices:
143547
2607778
126997
127811
Answer: A
Question: A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 15 hour to row to a place and come back, how far is the place?
Choices:
30km
48km
72km
15km
Answer: C
Question: Bombay Express left Delhi for Bombay at 14.30 hrs, travelling at a speed of 60 kmph and Rajdhani Express left Delhi for Bombay on the same day at 16.30 hrs, travelling at a speed of 80 kmph. How far away from Delhi will the two trains meet?
Choices:
360 km
480 km
500 km
None
Answer: B
Question: If x/y = 3/z, then 9z^2 =
Choices:
x²y²
81y²/ x².
9y/x
x²/y²
Answer: B
Question: A train running at the speed of 100 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
250 m
208 m
988 m
299 m
Answer: A
Question: 30% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choices:
97
87
100
76
Answer: C
Question: Each of the following numbers has a remainder of 3 when divided by 8 except:
Choices:
19
3
83
26
Answer: D
Question: Sharmeeka is putting all of her pens in order by number. One has the number 4 on it, the next has number 8, the next has number 12, and the next has number 16.
What number will the next pen have on it?
Choices:
20
32
22
24
Answer: A
Question: A standard Veggiematik machine can chop 20 carrots in 2 minutes. How many carrots can 3 standard Veggiematik machines chop in 3 minutes?
Choices:
90
121
130
144
Answer: A
Question: A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 40% profit on the cost of the item?
Choices:
30
22
22.5
27
Answer: A
Question: The sector of a circle has radius of 14 cm and central angle 135o. Find its perimeter?
Choices:
61 cm
28.9 cm
29.2 cm
98.2 cm
Answer: A
Question: If sales tax is reduced from 5% to 4%, then what difference it will make if you purchase an item of Rs. 1000
Choices:
10
30
40
60
Answer: A
Question: The simple interest on a sum of money is 5/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Choices:
17 4/9%
7 4/9%
8 4/9%
9 4/9%
Answer: B
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Choices:
3900
3750
3840
3950
Answer: A
Question: The greatest number by which the product of three consecutive multiples of 4 is always divisible is
Choices:
76
152
384
None of these
Answer: C
Question: A man whose speed is 7.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
8
9
7.2
6
Answer: C
Question: What is the smallest integer n that satisfies both of the following equations, in which p and q
are positive integers?
n = p2 + p
n = q2 + q + 2014
Choices:
2034
2056
2070
2196
Answer: C
Question: What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.
I. The number is multiple of 51.
II. The sum of the digits a and b is 6.
Choices:
I alone sufficient while II alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
Choices:
178 cm2
285 cm2
178 cm22
287 cm2
Answer: B
Question: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choices:
14 min 42 sec
14 min 20 sec
14 min 40 sec
14 min 10 sec
Answer: C
Question: Jerry and Jim are opposing participants in an online auction. Each has a constant bidding strategy: Jerry always bids up by raising $40 over any previous bid. Jim always bids up by doubling any previous bid. The auction begins with an initial bid by a third player, and progresses as follows: Jerry bids up first, and Jim follows. Jerry bids up again, and Jim follows and raises the bid to a final $600. What was the dollar value of the initial price?
Choices:
90
656
345
35
Answer: A
Question: In a triangle ABC,point D is on side AB and point E is on side AC,such that BCED is a trapezium.DE:BC =3:5.Calculate the ratio of the area of triangle ADE and the trapezium BCED.
Choices:
9/16
7/16
6/16
5/16
Answer: A
Question: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Choices:
14
57
53
47
Answer: A
Question: A train running at a speed of 36 km/h passes an electric pole in 15 seconds. In how many seconds will the whole train pass a 380-meter long platform?
Choices:
49
51
53
55
Answer: C
Question: The difference between the place value and the face value of 5 in the numeral 856973 is
Choices:
6973
5994
49995
None of these
Answer: C
Question: Express a speed of 66 kmph in meters per second?
Choices:
17 mps
97 mps
17.33 mps
18.33 mps
Answer: D
Question: A group of 8 cups need to be arranged. There are 2 blue cups and 2 red cups and the two of the pair of cups must be kept togather. in how many arrangements can the cups be arranged?
Choices:
B.1850
C.2880
D.3546
E.4200
Answer: B
Question: Given a number, there is an algorithm described here to find it's sum and number of factors. For example, let us take the number 1225?
Choices:
1767
1812
1890
None
Answer: A
Question: Last year, Company X made q dollars in profit. One thrid of the profit went to the company’s founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?
Choices:
q/5
q/8
q/6
q/7
Answer: C
Question: A and B together can do a piece of work in 5 days. If A alone can do the same work in 20 days, then B alone can do the same work in?
Choices:
0.45 days
0.55 days
0.25 days
0.15 days
Answer: D
Question: For some integer n, n^2 - 5 is divisible by all of the following EXCEPT
Choices:
38
29
30
31
Answer: C
Question: Riya and Priya set on a journey. Riya moves eastward at a speed of 30 kmph and Priya moves westward at a speed of 50 kmph.How far will be priya from Riya after 45 minutes
Choices:
60kms
50kms
30kms
40kms
Answer: A