antoine-444/aqua_rat_dataset huggingface dataset:
Question: John can type a set of pages in 5 hours at a constant rate. If John types for 3 hours and Jack does the rest of the job, who works at 2/5 constant rate of John. How long will it take for Jack alone to do the rest of the job?
Choices:
3hrs
4hrs
5hrs
7hrs
Answer: C
Question: If the numbers 1 to 96 are written on 96 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Choices:
1/25
1/96
1
2
Answer: B
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 21 revolutions, what will be the number of revolutions made by the larger wheel?
Choices:
12
21
9
13
Answer: C
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat weavers in 8 days ?
Choices:
14
16
18
20
Answer: B
Question: P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?
Choices:
6
7
4
1
Answer: A
Question: How many positive integers less than 100 are neither multiples of 3 or 5.
Choices:
b)31
c)32
d)53
e)34
Answer: C
Question: Machine A and machine B are each used to manufacture 330 sprockets. It takes machine A 10 hours longer to produce 330 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machineAproduce?
Choices:
3.3
60
100
110
Answer: A
Question: When an array of pointers is passed through a function, what actually is passed?
Choices:
number of elements
first element
last element
address of the starting element
Answer: D
Question: On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is
Choices:
30
40
50
60
Answer: D
Question: John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3740. What is the difference between Rose ’s and Tom ’s share in the profit?
Choices:
s.340
s.370
s.382
s.390
Answer: A
Question: The duplicate ratio of 2:6 is?
Choices:
1:4
1:9
1:18
1:13
Answer: B
Question: A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in all VA was equal to the average of percentage marks in all the 3 sections. Coincidentally, if we reverse the digit of the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by student could be:
Choices:
48
66
69
None of these
Answer: B
Question: A man two flats for $675958 each. On one he gains 11% while on the other he loses 11%. How much does he gain or lose in the whole transaction?
Choices:
1.21%
3.12%
4.65%
5.12%
Answer: A
Question: Pipes A and B can fill a cistern in 6 and 30 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
10
16
18
19
Answer: A
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
6 cm
5 cm
1 cm
9 cm
Answer: D
Question: T, U, V are 3 friends digging groups in fields. If T & U can complete i groove in 4 days &, U & V can complete 1 groove in 3 days & V & T can complete in 2 days. Find how many days each takes to complete 1 groove individually
Choices:
24/7 days
22/7 days
26/7 days
14/7 days
Answer: A
Question: If a is a positive integer, then 2^a + 2^(a - 1) =
Choices:
2^(a + 1)
-1*(2^a)
2a^(a + 1)
3(2^a)
Answer: B
Question: Distances from you to Man united is written below.
CHELSEA and ARSENAL are 700 kms away
SPURS 1800 kms away
WOLVES 200 kms away
Based on the system , How far should it be to MANCITY ?
Choices:
2300 miles.
1900 miles.
2500 miles.
2100 miles.
Answer: D
Question: By selling 32 pencils for a rupee a man loses 60%. How many for a rupee should he sell in order to gain 60%?
Choices:
10
8
6
4
Answer: A
Question: A can give B 90 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
120.88
111.22
120.0
111.12
Answer: A
Question: Find the unknown term 8,8,6,X,-4, -12
Choices:
2
6
8
9
Answer: A
Question: By how much is three-fifth of 370 greater than four-seventh of 210 ?
Choices:
100
110
120
102
Answer: D
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Choices:
16
18
25
20
Answer: A
Question: The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?
Choices:
10
16
18
22
Answer: B
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
Choices:
88
77
20
99
Answer: C
Question: A child want to buy 3 new toys. If there are 10 toys that satisfy the child's criteria,in how many different ways can the child select the 3 new toys if the order of selection doesn't matter.
Choices:
120
210
15
45
Answer: A
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 balls are picked atrandom, what is the probability that both are red?
Choices:
1/14
5/26
3/31
1/17
Answer: B
Question: The average of 11 numbers is 10.8. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
9.2
10
11.5
12.6
Answer: D
Question: Helen went to the stationers and bought things worth Euro 30, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
Euro 15.7
Euro 19.7
Euro 24.7
None
Answer: C
Question: 22 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
Choices:
20
21
22
23
Answer: C
Question: Renu can do a piece of work in 6 days, but with the help of her friend Suma , she can do it in 3 days. In what time Suma can do it alone?
Choices:
6
14
15
17
Answer: A
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Choices:
20
88
77
54
Answer: A
Question: In a race of 200 m. A can beat B by 15 m and C by 19 m then how much time C would take To beat B in the race of 3700 m ?
Choices:
60
70
80
90
Answer: C
Question: If a and b are consecutive integers (b>a), which of the following statements could be false? 1. a^3+b is always even number. 2. ab is even number 3. (a + b) is always an odd number.
Choices:
III only
I only
I,II only
II,III only
Answer: B
Question: Three numbers are such that the second is as much
lesser than the third as the first is lesser than
the second. If the product of the two smaller numbers
is 85 and the product of two larger numbers is 115.
Find the middle number?
Choices:
10
12
13
14
Answer: A
Question: The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Choices:
4089
4029
4096
1921
Answer: C
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
3
4
1
8
Answer: B
Question: A store’s selling price of $2500 for a certain printer would yield a profit of 40 percent of the store’s cost for the printer. What selling price would yield a profit of 50 percent of the printer’s cost?
Choices:
$2464
$2650
$2478
$2800
Answer: C
Question: A man buys an article for $100. and sells it for $115. Find the gain percent?
Choices:
15%
25%
20%
30%
Answer: A
Question: A reward of $1400 was divided among a group of 36 rescue workers such that each male in the group received $50. How much did each of the 16 females receive?
Choices:
$12.50
$25
$37.50
$50
Answer: B
Question: A train passes a station platform in 62 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
168 m
444 m
691 m
Answer: C
Question: The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 4 years?
Choices:
20736
14500
14600
15400
Answer: A
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 35%. At what price should he sell the article so as to make a loss of 25%?
Choices:
s.416
s.429
s.128
s.419
Answer: A
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
16.66%
18.7%
19.24%
20%
Answer: A
Question: Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 2 screws and 4 nails?
Choices:
b. 5/2
c. 2
d. 3/2
e. 5/4
Answer: C
Question: A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Choices:
30
50
60
70
Answer: A
Question: Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?
Choices:
2 <= 32x+4 <= 6
2 <= 334x+4 <= 6
2 <= 3x+4 <= 6
2 <= 3466x+4 <= 6
Answer: C
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
Rs.1000
Rs.1050
Rs.1200
Rs.1250
Answer: A
Question: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 150 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
25 kmph
19 kmph
17 kmph
29 kmph
Answer: A
Question: A car traveled 75% of the way from town A to town B at an average speed of 90 miles per hour. The car travels at an average speed of S miles per hour for the remaining part of the trip. The average speed for the entire trip was 40 miles per hour. What is S ?
Choices:
15
25
30
37.5
Answer: A
Question: Find the least number which when divided by 31 and 9 leaves a remainder of 3 in each case.
Choices:
282
284
286
288
Answer: A
Question: A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area T covered by the two roads?
Choices:
1550
1575
1600
1625
Answer: B
Question: The ratio between the present ages of A and B is 4:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Choices:
3:0
3:1
3:2
9:5
Answer: D
Question: Vincent has $12,731 dollars in his wallet. What is the least amount of money (in whole number of dollars) that he must add if he wants to split this money evenly among his nine friends?
Choices:
$2
$3
$4
$5
Answer: C
Question: For every positive odd integer n, the function h(n) is defined to be the product of all the odd integers from 3 to n, inclusive. If p is the smallest prime factor of h(200) +3, then p is?
Choices:
between 10 and 20
between 20 and 30
between 30 and 40
3
Answer: D
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
22
20
87
23
Answer: B
Question: The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 20 minutes after it was poured was how many degrees Fahrenheit?
Choices:
75
80
85
90
Answer: D
Question: There are 13 South American countries, Anny has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Anny choose from?
Choices:
13.12.11.10.4
13.12.4.4.
13.12.4
13.13.13.13
Answer: B
Question: log4 2+log4 32 i equal to?
Choices:
3
4
5
6
Answer: A
Question: If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 3m + n?
Choices:
18
20
45
33
Answer: C
Question: Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 9, what is the measure of side XY?
Choices:
4√2
8
6
Cannot be determined from the information provided
Answer: C
Question: A train 310 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
5
17
13
Answer: C
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.40 m space around the room. A side of square tile is given to be 40 cms?
Choices:
164
268
208
276
Answer: A
Question: Let the number which when multiplied by 15 is increased by 196.
Choices:
14
26
28
30
Answer: A
Question: There are 35 students in a hostel. If the no. of students increases by 8, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
371.87
420.37
450.37
480.37
Answer: A
Question: In a company, 52 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?
Choices:
70%
75%
80%
85%
Answer: B
Question: The average of 28 numbers is 45. If two numbers namely 40 and 45 are discarded, The average of
remaining numbers is?
Choices:
37.5
45.1
34.5
38.5
Answer: B
Question: If the sales tax be reduced from 3 (1/5) % to 2 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 6400?
Choices:
Rs. 44.80
Rs. 140.40
Rs. 50.48
None of these
Answer: A
Question: In how many ways the letters of the word RAIXBON be arranged?
Choices:
8454
4356
5040
6557
Answer: C
Question: Paul's salary was decreased by 50% and subsequently increased by
50%.How much percent does he lose?
Choices:
25
50
30
40
Answer: A
Question: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Elaine?
Choices:
1,296
1,512
2*1008
2,268
Answer: C
Question: A room contains 180 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Choices:
35
45
55
65
Answer: B
Question: A can finish a piece of work in 4 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choices:
3
6
7
8
Answer: A
Question: If a, b, c, and d are integers; w, x, y, and z are prime numbers; w < x < y < z; and (wa)(xb)(yc)(zd)=660(wa)(xb)(yc)(zd)=660, what is the value of (a + b) – (c + d)?
Choices:
0
1
2
3
Answer: B
Question: 5358 x 51 = ?
Choices:
272651
273258
273898
273299
Answer: B
Question: HOW MANY KGS OF TEA WORTH RS.25/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 10%
Choices:
36
32
42
45
Answer: A
Question: Round off the given number to nearest hundreds
10158
Choices:
10200
11000
10150
10100
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 25 hours respectively. The ratio of their speeds is:
Choices:
5 : 3
6 : 7
9 : 16
None of these
Answer: A
Question: Each of 7 workers will pick a day of the week as his vacation day. What is the probability that exactly one worker will pick a different day?
Choices:
7!/7^7
1/7^7
7/7!
7/7^7
Answer: A
Question: The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
Choices:
48
56
60
62
Answer: C
Question: -84 x 29 + 365 = ?
Choices:
2436
2801
-2801
-2071
Answer: D
Question: Set Q consists of the following five numbers: Q = {7, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?
I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75}
Choices:
I only
IIII
IIIII
I, II,III
Answer: A
Question: A dealer owns a group of station wagons and motorcycles. If the number of tires (excluding spare tires) on the vehicles is 30 more than twice the number of vehicles, then the number of station wagons the dealer owns is
Choices:
15
20
30
45
Answer: A
Question: What is the different between the place value and face value of 3 in the numeral 1375?
Choices:
289
297
300
310
Answer: B
Question: If 4a = 5b = 30, then 40ab =
Choices:
1800
2250
1650
1250
Answer: A
Question: In a room filled with 5 people, 3 people have exactly 2 siblings in the room and 2 people don't have any siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choices:
4/5
3/10
7/10
9/10
Answer: C
Question: A and B started a business with initial investments in the ratio 12 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?
Choices:
42 months
9 months
5 months
7 months
Answer: A
Question: What is the perimeter of a square field whose diagonal is 8√2?
Choices:
32
88
99
221
Answer: A
Question: What are the last two digits of 5in2007th ?
Choices:
65
55
25
05
Answer: C
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
13
18
11
19
Answer: B
Question: In Orange County one sixth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choices:
42.
85.
140.
252.
Answer: A
Question: Pipe A can empty a tank in 12 hrs and pipe B can empty it in 24 hrs. If both the pipes are opened to empty in the fully filled tank . In how many hours will it be emptied tank?
Choices:
7
8
9
10
Answer: B
Question: Sum of two numbers is 25 and their difference is 13. Find their product.
Choices:
108
114
124
142
Answer: B
Question: Of the families in City X in 1998, 20 percent owned a personal computer. The number of families in City X owning a computer in 2002 was 40 percent greater than it was in 1998, and the total number of families in City X was 8 percent greater in 2002 than it was in 1998. what percent of the families in City X owned a personal computer in 2002?
Choices:
52.66%
28.22%
33.33%
25.92%
Answer: D
Question: What is the remainder when 617 + 1176 is divided by 7?
Choices:
1
3
4
5
Answer: A
Question: What percent of 60 is 100?
Choices:
75
166.66
33 1⁄3
25
Answer: B
Question: If the average of ten numbers is 50, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 50
Choices:
II
III
all three options
I&II
Answer: C
Question: The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
Choices:
3
6
7
8
Answer: A
Question: If a and b are positive integers, and a=20b-15, the greatest common divisor of a and b CANNOT be
Choices:
3
18
15
5
Answer: B
Question: If an article with marked price of $600 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
Choices:
300
230
342
320
Answer: C
Question: The bus that travels from St. Louis to Chicago and back comes to St. Louis every 4 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 6 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?
Choices:
18:00
20:00
22:00.
24:00.
Answer: D
Question: If x > 0, x/25 + x/20 is what percent of x?
Choices:
5%
37 1/2%
60%
75 %
Answer: A
Question: If a is an integer greater than 2 but less than 7 and b is an integer greater than 4 but less than 13, what is the range of a/b?
Choices:
57/60
51/67
19/71
75/64
Answer: A
Question: The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?
Choices:
150
297
266
971
Answer: A
Question: A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the T % profit made by the merchant?
Choices:
66.67 %
200 %
100 %
33.33 %
Answer: A
Question: Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
Choices:
70 km/hr
120 km/hr
Data inadequate
None of these
Answer: A
Question: Two heavily loaded sixteen-wheeler transport trucks are 940 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
Choices:
130
150
140
450
Answer: C
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 20 km/hr. Find the total journey in km.
Choices:
224 km
230 km
232 km
200 km
Answer: D
Question: A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 21 gallons of gasoline?
Choices:
284.6
300
256
312
Answer: C
Question: What is the difference between the place value and face value of 4 in the numeral 46?
Choices:
36
52
44
39
Answer: A
Question: Which of the following are roots of an equation (x^-2)+(x^-1)-20=0
Choices:
-1/5 and 1/4
1/5 and 1/4
-1/5 and -1/4
-5/2 and -1/4
Answer: A
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
Choices:
12 hours
18 hours
10 hours
97 hours
Answer: A
Question: A librarian has a set of eleven books, including four different books about Abraham Lincoln. The librarian wants to put the eleven books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other seven books. How many different arrangements of the eleven books are possible?
Choices:
(4!)(7!)
(4!)(8!)
(4!)(11!)
(4!)(7!)(11!)
Answer: B
Question: If the cost price of 26 apples is equal to the selling price of 20 apples, the gain percent is
Choices:
30
35
40
45
Answer: A
Question: julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $126 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
Choices:
720
1080
1200
1440
Answer: C
Question: Weights of two friends Ram and Shyam are in the ratio 2:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
Choices:
17%
21%
16%
None
Answer: A
Question: A cubical block of metal weighs 8 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Choices:
32
24
18
64
Answer: D
Question: Of the 500 people attending a conference, 240 have signed up for the Marketing workshop and 400 have signed up for the Accounting workshop. If 80 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:
Choices:
220
250
275
300
Answer: A
Question: If each data point in a certain set Q is increased by a factor of 9, what happens with the set's standard deviation?
Choices:
Increases by Factor 9
Decreases by Factor 9
Increases by 9
Can't be determined
Answer: A
Question: Each truck from Rubins Removal Company can haul 1500 pounds of trash at a time.
On Wednesday the company has jobs to remove 10,500 pounds of trash from one
site, 500 from another site, and 4,000 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
15000 lbs.-10 Trips
3500 lbs.-7 Trips
6500 lbs.-8 Trips
Answer: B
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
Rs.1261
Rs.1185
Rs.1346
Rs.1400
Answer: A
Question: A shirt goes on sale for 90% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
Choices:
81%
52%
50%
28%
Answer: A
Question: John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4202. What is the difference between Rose ’s and Tom ’s share in the profit?
Choices:
s.362
s.370
s.382
s.390
Answer: C
Question: A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 20% less than B, and C costs 25% less than A,and D costs 20% less than C what percent of B's cost is D?
Choices:
38%
44%
36%
48%
Answer: D
Question: The average expenditure of a labourer for 7 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is
Choices:
72.02
86.5
78.2
None of the above
Answer: B
Question: A is a set containing 8 different numbers. B is a set containing 7 different numbers, all of which are members of A . Which of the following statements CANNOT be true?
Choices:
The range of A is less than the range of B.
The range of A is equal to the range of B.
The mean of A is less than the mean of B.
The mean of A is equal to the mean of B.
Answer: A
Question: How many figures are required to number the pages the pages of a book containing 365 pages?
Choices:
987
967
897
997
Answer: A
Question: Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 4 hours?
Choices:
240X/Y.
60Y/X.
120Y/X.
(X + Y)/60.
Answer: A
Question: The perimeters of two squares are 40 cm and 36 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
Choices:
17.6 cm
26 cm
28 cm
29 cm
Answer: A
Question: A group of 10 representatives is to be selected out of 14 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Choices:
14C₇ * 10
14C9 * ¹⁰C₅
12 * ¹⁰C₅
None of these
Answer: B
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?
Choices:
8km/h
10km/h
12km/h
14km/h
Answer: A
Question: In how many ways can you sit 8 people on a bench if 3 of them must sit together?
Choices:
2,160
2,400
4,320
40,320
Answer: C
Question: By investing in 16 % stock at 64, one earns Rs. 1500. The investment made is?
Choices:
2877
5760
7636
5728
Answer: B
Question: Find the area of circle whose radius is 5.5m?
Choices:
95.1
288
280
371
Answer: A
Question: How many positive integers less than 25 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
Choices:
25
24
22
20
Answer: D
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
1055
1065
1070
1080
Answer: A
Question: In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choices:
625
1250
2500
1000
Answer: D
Question: Compound interest of Rs.1000 at 10% per annum for 1 1/2years will be (interest compounded half yearly).
Choices:
Rs.374
Rs.495
Rs.157
None of the above
Answer: C
Question: Sripad has scored average of 67 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Choices:
85
38
27
21
Answer: A
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Seven years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
56
27
24
None of these
Answer: A
Question: A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.4 m and its walls are 5 cm thick. The thickness of the bottom is:
Choices:
4 dm
1 m
1.1 cm
None of these
Answer: A
Question: If x≠5 and (x^2 - 25)/(2y) = (x - 5)/4, then in terms of y, x = ?
Choices:
(y - 10)/2
y - 3
y - 6
(y + 6)/2
Answer: A
Question: A, B and C started a business with a total investment of Rs. 90000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find C's share.
Choices:
Rs. 2520
Rs. 2880
Rs. 3360
None of these
Answer: B
Question: How many three digit numbers that do not contain the digit 2 are there?
Choices:
200
512
648
729
Answer: C
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 16000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Choices:
19
22
35
21
Answer: C
Question: For how many integers n is 2^x = n^x ?
Choices:
One
Three
Two
More than Three
Answer: C
Question: What is the dividend. divisor 14, the quotient is 12 and the remainder is 8
Choices:
176
177
178
179
Answer: A
Question: When n is divided by 25, the remainder is 4. What is the remainder when n + 15 is divided by 5?
Choices:
3
4
5
6
Answer: B
Question: A train 140 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
55.4 km/hr
17 km/hr
18 km/hr
12 km/hr
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:
245m
25m
18m
12m
Answer: A
Question: A train is 700 meter long is running at a speed of 21 km/hour. In what time will it pass a bridge of 130 meter length?
Choices:
142.286
34
200
150.627
Answer: A
Question: Find large number from below question The difference of two numbers is 1000. On dividing the larger number by the smaller, we get 10 as quotient and the 10 as remainder
Choices:
1110
1456
1200
1600
Answer: A
Question: Of the science books in a certain supply room, 30 are on botany, 45 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?
Choices:
180
236
284
311
Answer: C
Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 360 feet in circumference.After how many minutes are the three of them together again?
Choices:
6 mins
15 mins
3 mins
7 mins
Answer: A
Question: A fair coin is tossed 5 times. What is the probability of getting more heads than tails in 5 tosses?
Choices:
1/2
4/7
61/256
63/64
Answer: A
Question: Gary drove from point A to point B at 60 Km/h. On his way back he took a train travelling at 110 Km/h and therefore his trip back lasted 5 hours less. What is the distance (in Km) between A and B?
Choices:
630.
660.
690.
720.
Answer: B
Question: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction D of the area of triangle ABC is the area of triangle XYZ?
Choices:
1/9
1/6
1/5
1/3
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
288
277
221
Answer: A
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is?
Choices:
62 kg
34 kg
31 kg
37 kg
Answer: C
Question: A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/3, and the probability of selecting a blue paper clip is 3/5. What is the probability of selecting a silver paper clip?
Choices:
2/15
7/15
3/4
11/15
Answer: A
Question: One hour before John started walking from P to Q, a distance of 38 miles, Ann had started walking along the same road from Q to P. Ann walked at a constant speed of 3 miles per hour and John at 2 miles per hour. How many miles had Ann walked when they met?
Choices:
8,4 miles
19 miles
19,6 miles
24 miles
Answer: D
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 2x km.
Choices:
16kmph
25kmph
30kmph
35kmph
Answer: A
Question: A1, A2 and A3 enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After 4 months, A1 increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then A2's share in the profit is:
Choices:
3200
3450
4000
3570
Answer: C
Question: A lady builds 10cm length, 18cm width, and 4cm height box using 12cubic cm cubes. What is the minimum number of cubes required to build the box?
Choices:
70
78
60
111
Answer: C
Question: At a local supermarket, a box of cereal usually costs 18 dollars. This week, the supermarket sells the box of cereal for 12 dollars. How much money will you save if you buy this cereal at this supermarket?
Choices:
3 dollars
6 dollars
2 dollars
4 dollar
Answer: B
Question: A person covered one-fourth of the total distance at 20 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
22 (6/7)kmph
21 (7/3)kmph
27 (6/7)kmph
21 (1/8)kmph
Answer: A
Question: 3 Years ago, the average age of a family of 5 members was 16 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
Choices:
1 year.
2 Years.
3 Years.
4 Years.
Answer: A
Question: After spending 40 percent machinery, 25 percent inbuilding , 15 percent in raw material and 5 percent on furniture. John had a balance of Rs.1305. Total money with him was?
Choices:
8700
9000
9200
9400
Answer: A
Question: Which of the following CAN be the least common multiple of two positive integers 4 and 6?
Choices:
6
8
10
12
Answer: D
Question: Last year, sales at Company Zora were 12% greater in February than in January, 15% less in March than in Feb, 30% greater in April than in March, 10% less in May than in April, and 5% greater in June than in May. In which month were sales closest to Jan?
Choices:
March
May
Feb
June
Answer: A
Question: A salesman's income consists of a commission and a base salary of $450 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
Choices:
$245
$365
$715
$265
Answer: D
Question: From 6 officers and 10 clerks in how many can 5 be chosen to include exactly one officer?
Choices:
1562
2456
1260
660
Answer: C
Question: Sally, Mark, Sarah, Steve and Jim are inheriting the money from their grandmother. She left them $527,500 to split equally between all of them. If the money is split equally, how much money will each person receive?
Choices:
$52,700
$127,900
$105,500
$105,000
Answer: C
Question: Every day Daniel drives 96 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?
Choices:
20%
30%
40%
50%
Answer: D
Question: When positive integer N is divided by positive integer D, the quotient is 16, with a remainder of 7. When N is divided by (D + 2), the quotient is 15 and the remainder is 1. What is the value of N?
Choices:
391
511
691
871
Answer: A
Question: R campers fished for 4 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
Choices:
(2m + n(R-m))/3
(2m + n(m-R))/3
(2m + n)/3
(2m + n)/4
Answer: D
Question: If f(2, 4) = 24 and f(1, 5) = 26, what is the value of f(2, 10)?
Choices:
127
147
108
Cannot be determined
Answer: C
Question: In a garden, there are three blue flowers, three red flowers, three green flowers, and three pink flowers. What is the probability that a florist will choose two flowers of the same color when randomly picking three flowers?
Choices:
1/55
31/10
3/55
2/11
Answer: D
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 300 girls, the total number of
students in the college is
Choices:
520
780
620
None of these
Answer: B
Question: What is the least number of digits (including repetitions) needed to express 10^400 in decimal notation?
Choices:
a) 401
c) 101
d) 1000
e) 1001
Answer: A
Question: The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 17 positive perfect squares?
Choices:
1,164
1,240
1,316
1,785
Answer: D
Question: A can give B 50 meters start and C 100 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.67
111.64
52.63
101.12
Answer: C
Question: A powder tin has a square base with side 8 cm and height 14 cm. Another tin has a circular base with diameter 8 cm and height 14 cm. The difference in their capacities is :
Choices:
192 cm³
228 cm³
236 cm³
None
Answer: A
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
Choices:
8
9
4
6
Answer: A
Question: 0, 1, 4, 15, 64, ____
Choices:
325
125
145
none
Answer: A
Question: Mangala completes a piece of work in 14 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Choices:
10 1/2 days
9 1/2 days
12 1/4 days
14 1/4 days
Answer: B
Question: A 4" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?
Choices:
8 blocks
9 blocks
10 blocks
11 blocks
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
2882
2770
2882
Answer: A
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 570 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Choices:
3/8
38/15
5/8
5/3
Answer: B
Question: ?% of 360 = 180
Choices:
36
50
72
None of these
Answer: B
Question: Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 8/15, what is the probability that Taylor makes exactly one basket in three tries?
Choices:
45/113
45/130
35/130
35/113
Answer: A
Question: What least number should be added to 1536, so that the sum is completely divisible by 21?
Choices:
17
18
19
20
Answer: B
Question: A factory produces 5505 toys per week. If the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choices:
5487 toys
1101 toys
2354 toys
1375 toys
Answer: B
Question: If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
Choices:
9:6:8
9:6:2
9:6:4
9:6:1
Answer: C
Question: Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 25 meters. What distance is she from the starting point and in which direction?
Choices:
35 m North
30 m West
45 m West
45 m East
Answer: D
Question: How much time will it take for an amount of Rs. 600 to yield Rs. 12 as interest at 2% per annum of simple interest?
Choices:
4 years
7 years
1 years
2 years
Answer: C
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 53, what is the value of x?
Choices:
53
54
55
51
Answer: D
Question: In the following questions, the following letters indicate mathematical operations as indicated below:
A: Addition; V: Equal to; S: Subtraction; W:Greater than; M: Multiplication; X: Less than; D: Division
Find Out of the four alternatives given in these questions, only one is correct according to the above letter symbols. Identify the correct one.
Choices:
6 S 7 A 2 M 3 W 0 D 7
6 S 7 M 2 S 3 W 0 M 7
6 M 7 S 2 A 3 X 0 D
6 M 7 S 2 A 4 X 0 D
Answer: A
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be a red king and the other card will be a black jack? A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
Choices:
1/64
1/128
1/169
1/338
Answer: D
Question: A furniture manufacturer has two machines, but only one can be used at a time. Machine S is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine S can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
Choices:
13
11
9
7
Answer: C
Question: Lorna invests $5000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
Choices:
$1,000
$2,200
$4,400
$5,840
Answer: A
Question: The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 300,000 bacteria
Choices:
12
14
16
18
Answer: C
Question: In what time will a train 90 meters long cross an electric pole, if its speed is 124 km/hr
Choices:
4.5 seconds
3 seconds
2.6 seconds
None of these
Answer: C
Question: Find the number which when multiplied by 15 is increased by 196
Choices:
12
14
16
18
Answer: B
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $9.00 each, what was Company C’s gross profit?
Choices:
$2,900
$2,600
$3,250
$2,500
Answer: B
Question: A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 7 Gallons of water and 14 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
Choices:
75
105
150
175
Answer: B
Question: A group of boy scouts and girls scouts is going on a rafting trip. 45% of the scouts arrived with signed permission slips. If 60% of the scouts were boy scouts and 25% of the boy scouts arrived with signed permission slips, then what percentage of the scouts were girl scouts who arrived with signed permission slips?
Choices:
21
25
28
30
Answer: D
Question: Find the cost of fencing around a circular field of diameter 30m at the rate of Rs.1.50 a meter?
Choices:
B)Rs.141.37
C)Rs.100
D)Rs.125
E)Rs.225
Answer: A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8450. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
2876
4700
2981
2711
Answer: B
Question: What is the next number in the sequence below?
1 4 9 16 25 36 49 __ ?
Choices:
64
47
48
49
Answer: A
Question: In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
Choices:
120
140
195
210
Answer: C
Question: What is the probability of getting at least one six in a single throw of three unbiased dice?
Choices:
125/216
1/36
81/216
91/216
Answer: D
Question: If a ring of diameter 4 inches moves at the rate of x inches/min and another ring of diameter 12 inches moves at the rate of y inches/min, and if they both cover a distance at the same time then find the value of x in terms of y?
Choices:
3y/4
5y/2
2y/4
1y/3
Answer: D
Question: Out of 19 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
Choices:
11â„13
10â„15
23/31
None of these
Answer: C
Question: For the real value of x what is the maximum value of |x+2|+|x-1|-|2x-4|=?
Choices:
3
4
5
6
Answer: C
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:
Choices:
6240
6500
9600
9800
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 1/4%
11 1/9%
11 8/9%
11 3/9%
Answer: B
Question: -45*29+108=?
Choices:
1897
-1197
-1900
None of these
Answer: B
Question: Farm Tax is levied on the 40% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. willam. Mr. willam paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Choices:
31.25%
12.5%
0.2083%
none
Answer: A
Question: You have a flashlight that takes 2 working batteries. You have 8 batteries but only 4 of them work.
What is the fewest number of pairs you need to test to guarantee you can get the flashlight on?
Choices:
8
7
6
4
Answer: B
Question: What is the sum of all the composite numbers up to 20?
Choices:
132
124
145
166
Answer: A
Question: A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 120 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
Choices:
1/8,000
3/1,600
1/90
2/45
Answer: A
Question: 1,000^2 + 1,001^2 +1,002^2 =
Choices:
6,030,054
6,006,005
6,030,056
6,030,057
Answer: B
Question: f two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Choices:
80%
60%
84%
87%
Answer: B
Question: How many 3-digit numbers are completely divisible 6 ?
Choices:
150
151
166
182
Answer: A
Question: The average age of 20 students of a class is 20 years. Out of these, the average age of 9 students is 11 years and that of the other 10 students is 24 years. The age of the 20th student is?
Choices:
61
59
63
64
Answer: A
Question: A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
500/11
600/11
55
35
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
279 m
240 m
207 m
202 m
Answer: B