antoine-444/aqua_rat_dataset huggingface dataset:
Question: Twenty one identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by two days?
Choices:
3
4
6
9
Answer: C
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Choices:
7
9
10
11
Answer: A
Question: A man borrows Rs. 1200.00 from a bank for a period of 3 months. He finds that he has to repay Rs.1236.00. The bank rate of interest is:
Choices:
12%
6%
22%
14%
Answer: A
Question: In a camp, there is a meal for 90 men or 160 children. If 110 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
50
28
40
Answer: C
Question: Three printing presses, E, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take E, working alone at its constant rate, to do the same job?
Choices:
10
12
15
20
Answer: D
Question: If y > 0, (2y)/10 + (3y)/10 is what percent of y?
Choices:
50%
60%
70%
80%
Answer: A
Question: If x = y+4.5x and y = x+18, what is the value of x/y ?
Choices:
-7/20.
1/4.
-2/7.
1.5.
Answer: C
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $7.00 per hour and a standard tip rate of 5% of the cost of the orders she serves. If she worked four 12-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choices:
300
320
432
400
Answer: C
Question: Ramesh, Kiran and Ram started a business with capitals of Rs. 2000, Rs. 8000 and Rs. 6000 respectively. At the end of the year, the profit share of Kiran is Rs. 400. The difference between the profit shares of Ramesh and Ram is?
Choices:
369
200
2356
1547
Answer: B
Question: Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/12 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $20 more than Eliot in his account. How much money does Eliot have in his account right now?
Choices:
$120
$180
$200
$260
Answer: C
Question: Carol is Five times Alice’s age but only twice as old as Betty. Alice is twelve years younger than Carol. How old is Betty?
Choices:
6
12
18
24
Answer: A
Question: In a certain random experiment, exactly one of the outcomes A, B, and J will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and J will occur twice?
Choices:
1/12
10/81
1/6
16/81
Answer: B
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 4000. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Choices:
s. 400
s. 500
s. 800
s. 850
Answer: B
Question: The smallest value of n, for which n+1 is not a prime number, is
Choices:
6
8
3
10
Answer: C
Question: Two trains leave a station traveling in the same direction. Train A leaves at 2:00 PM traveling at a constant speed of 40 mph, while train B leaves at 3:00 PM traveling at a constant speed of 60 mph. At what time will train B overtake train A if neither train deviates from its constant speed?
Choices:
90
100
110
120
Answer: D
Question: The value of a machine depreiates at the rate of 10% per annum. If its present is Rs.1,62,000 what will be its worth after 2 years ? What was the value of the machine 2 years ago ?
Choices:
Rs.200000
Rs.500000
Rs.300000
Rs.800000
Answer: A
Question: a man prpare the technical document it takes 2 hours for half an hour presentation and technical preparation. its screening takes 30 more minuts to prepare with the other guy.for to present a 7 half an hours how much time it will take
Choices:
35 hours
37 1/2 hours
33 hours
34 hours
Answer: B
Question: A certain team has 8 members, including Joey. A three-member relay team will be selected as follows: one of the 8 members is to be chosen at random to run first, one of the remaining 7 members is to be chosen at random to run second, and one of the remaining 6 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
Choices:
1/4
2/5
3/8
3/10
Answer: A
Question: There exists exactly one positive value of k such that the line y = kx intersects the parabola
y = x2 + x + 4 at exactly one point. Compute the intersection point.
Choices:
(2,10)
(7,10)
(3,10)
(1,10)
Answer: A
Question: Three friends sakthi, samy and Charlie divide $1010 amongs them in such a way that if $6, $8 and $10 are removed from the sums that sakthi, samy and Charlie received respectively, then the share of the sums that they got will be in the ratio of 4 : 8 : 6. How much did Charlie receive?
Choices:
$326
$331
$336
$334
Answer: C
Question: How many positive even integers less than 100 contain digits 5 or 9?
Choices:
10
18
19
20
Answer: A
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 9%. What was its profit on the items sold in February?
Choices:
30%
35%
36.5%
40%
Answer: C
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.20 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
185
190
200
210
Answer: A
Question: The sector of a circle has perimeter of 144 cm and central angle 180o. Find its radius?
Choices:
32 cm
14 cm
28 cm
21 cm
Answer: C
Question: 78654 * 9999
Choices:
765858254
784569825
786461346
None of these
Answer: C
Question: 6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days C do they need to finish the same job?
Choices:
3
5
6
7
Answer: A
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:
2 2/3
2.5
3
1
Answer: B
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choices:
125 m
140 m
152 m
150 m
Answer: A
Question: Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was
Choices:
Rs. 292.50
Rs. 298
Rs. 298.50
None of these
Answer: A
Question: Find the average of first 3 multiples of 5?
Choices:
10
12.5
13
21
Answer: A
Question: The amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. If they worked a combined total of 110 hours, how many hours did the secretary who worked the longest spend on the project?
Choices:
55
56
16
14
Answer: A
Question: Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Choices:
2(9)
3 * 2(8)
3 * 2(9)
None of these
Answer: C
Question: What is the value of the following series 1/7 + 2/7^2 + 1/7^3 +2/7^4 + 1/7^5 +.......
Choices:
8/49
11/49
13/49
9/49
Answer: D
Question: How many liters of water must be evaporated from 50 liters of a 3 percent sugar solution to get a 5 percent sugar solution?
Choices:
4
6
10
20
Answer: D
Question: 12*18*6 is the volume of some material. How many cubes of edge 3 can be insert into it?
Choices:
48
50
51
52
Answer: A
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (10,0) and (10,4). If a line through (1,1) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Choices:
1/3
1/4
1/5
1/6
Answer: B
Question: A(n+1)=1+(1/A(n)) and A(1)=1. What is the value of A(10)?
Choices:
89/55
93/59
95/61
97/63
Answer: A
Question: Eleven people are planning to share equally the cost of a rental van. If one person withdraws from the arrangement and the others share equally the cost of the rental van, then the share of each of the remaining people will increase by...?
Choices:
1/10
1/8
11/10
10/9
Answer: A
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 6 different offices?
Choices:
60
117
110
216
Answer: D
Question: Which of the following numbers completes
the sequence 3, 8, 14, 21, 29, 38, 48, 59, 71 ___?
Choices:
36
37
84
99
Answer: C
Question: The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
Choices:
5120
5200
5400
5500
Answer: A
Question: A bat is bought for Rs.200 and sold at a gain of 20% find its selling price
Choices:
B)Rs.270/-
C)Rs.280/-
D)Rs.240/-
E)Rs.520/-
Answer: C
Question: To reach her destination, Jeanette must drive 90 miles. If she drives 3 miles every 7 minutes, how much time will it take her to reach her destination?
Choices:
54 minutes
2 hours and 10 minutes
2 hours and 12 minutes
2 hours and 15 minutes
Answer: A
Question: Find the smallest number of six digits exactly divisible by 25,35,45 and 15.
Choices:
100775
100885
100995
100665
Answer: A
Question: Convert 500 miles to KM?
Choices:
700KM
800KM
900KM
1000KM
Answer: B
Question: The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 180 m, its area is?
Choices:
90
277
261
281
Answer: A
Question: A is twice as good workman as B, and together they complete a work in 12 days. In how many days can the work be complete by B alone?
Choices:
36 days
45 days
75 days
95 days
Answer: A
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 T of races we need to conduct to get the top 3 fastest horses?
Choices:
7
8
10
11
Answer: A
Question: The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
Choices:
Rs. 115.75
Rs. 124.75
Rs. 125
Rs. 126
Answer: B
Question: How much time does a train 225 metres long running at 90 km/hr take to pass a pole?
Choices:
2.5s
7.5s
9s
7.4s
Answer: C
Question: X is an even number and( Y +2) is a positive odd number. Which of the following expressions cannot be even?
Choices:
X^4
X^3
X^2
Y+2
Answer: D
Question: John has exactly 31 pens, and each pen is either bule, black, or red. If he has 5 more black pens than red pens, and twice as many blue pens as black pens, how many blue pens does john has ?
Choices:
18
20
22
17
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
87%
40%
17%
18%
Answer: B
Question: If x is an integer and |1-x|<2 then which of the following must be true?
Choices:
x^2+x is not a prime number
x is positive
Number of distinct positive factors of x+2 is a prime number
x is not a multiple of an odd prime number
Answer: C
Question: From the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n*n is even
n*n is odd
n is even
Answer: A
Question: If four students are made to sit in a row, then 6 don't have seats. If 6 students are made to sit in a row, then one row is empty. How many students have to sit a row such that each row has equal number of students and all students are seated?
Choices:
1
4
5
9
Answer: C
Question: At Joes Steakhouse the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $10.50 per hour, how much less than a manager does a chef earn each hour?
Choices:
$2.40
$3.40
$4.40
$4.30
Answer: D
Question: A person can walk at a constant rate of 8mph and can bike at a rate of 32mph. If he wants to travel 80 miles in 4 hours using bike and walking at their constant rates, how much distance would he require to walk?
Choices:
30
48
60
72
Answer: B
Question: The slant height of a cone is 14 cm and radius of the base is 12cm, find the curved surface of the cone.
Choices:
170
48
528
600
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
2/117
1/216
2/111
3/111
Answer: B
Question: Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 8:30 a.m. and drives north on the same highway at an average speed of 75 km per hour. Mr. Dinkle will
Choices:
overtake Mr. Smitherly at 9:30 a.m.
overtake Mr. Smitherly at 11:00 a.m.
be 30 miles behind at 8:35 a.m.
never overtake Mr. Smitherly
Answer: A
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 15 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
Choices:
9
10
11
12
Answer: D
Question: What's 8 x 600?
Choices:
4,800
4,400
5,400
6,800
Answer: A
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of hydrogen are there in 171 grams of water?
Choices:
13
15
17
19
Answer: D
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 pens per minute. At this rate, how many pens could 10 such machines produce in 4 minutes?
Choices:
1545.6
1640.33
1800
None of these
Answer: C
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 588 sq m, then what is the breadth of the rectangular plot?
Choices:
17
18
19
14
Answer: D
Question: If (5^9)(9^5)=3(15^x), what is the value of x?
Choices:
9
11
13
15
Answer: A
Question: At a special sale, 5 tickets can be purchased for the price of 3 tickets. If 5 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 5 tickets?
Choices:
33.3%
40%
60%
66.6%
Answer: B
Question: what is the value of (2)^-6 ?
Choices:
1/64
1/65
1/66
1/67
Answer: A
Question: Arun is travelling on his cycle and has calculated to reach point A at 2 pm if he travels at
10 kmph. He will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 pm?
Choices:
12 kmph
10 kmph
14 kmph
15 kmph
Answer: A
Question: Two trains of length 100 m and 200 m are 70 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
2 sec
20/7 sec
32/3 sec
53/2 sec
Answer: A
Question: rahul played weel in this season.his current batting averagge is 52.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season.
Choices:
12
9
6
5
Answer: A
Question: How many 7-letter words can be formed using the letters of the English alphabet that contain 3 different vowels and 4 different consonants?
Choices:
4!*5c2 *21c2
4!*5c3 *21c2
6!*5c3 *21c2
7!*5c3 *21c4
Answer: D
Question: A right triangle ATC has to be constructed in the xy-plane so that the right angle is at A and AT is parallel to x axis. The coordinates of A, T and C are integers and satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. How many different triangles can be constructed with these properties?
Choices:
336
567
3024
5040
Answer: C
Question: In the equation g = 36.12f, f and g are integers. If g/f leaves a remainder of r, which of the following must divide into r?
Choices:
3
4
6
12
Answer: A
Question: How many positive integers between 100 and 500 are there such that they are multiples of 19?
Choices:
15
21
18
19
Answer: B
Question: How many of the factors of 120 are divisible by 2?
Choices:
8
10
12
16
Answer: C
Question: The length of each side of an equilateral triangle having an area of 4âˆš3 cm2 is?
Choices:
3/4 cm
3 cm
4 cm
5 cm
Answer: C
Question: A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
Choices:
4/17
7/18
19/6
7/15
Answer: D
Question: A bag contains 24 purple jellybeans, 16 green jellybeans, and 10 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
Choices:
20%
25%
32%
35%
Answer: C
Question: A sum amounts to Rs.3087 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?
Choices:
s.5000
s.4500
s.4800
s.2800
Answer: D
Question: A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is :
Choices:
6 cm
4 cm
3 cm
None
Answer: C
Question: If x and y are positive integers, and 3 is not a factor of y, then y may be which of the following?
Choices:
(x−3)·(x−1)·(x+1)
(x−2)·x·(x+2)
(x−1)·x·(x+2)
(x−3)·(x+1)·(x+2)
Answer: C
Question: If y = x^2 + px + q, y is minimum when x is:
Choices:
-p/q
-p/2
-q/2
q/p
Answer: B
Question: (7.5×7.5+3.75+2.5×2.5) is equal to
Choices:
60
80
100
90
Answer: C
Question: After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
Choices:
0
9
72
4
Answer: A
Question: Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 300 envelopes
Choices:
5 minutes
7 minutes
3 minutes
4 minutes
Answer: A
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is?
Choices:
17/25
17/26
17/76
17/22
Answer: A
Question: In the equation ax^2 + bx + c = 0 a, b, and c are constants, and abc # 0. If one root of the equation is -2, and b = 7a then which of the following is c equal to?
Choices:
a/8
6a
10a
12a
Answer: C
Question: Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Choices:
35
37
41
43
Answer: A
Question: You have three pills with you which you are required to take one after every thirty minutes.
How long can the pills run for you?
Choices:
1 hour
3 hour
4 hour
None
Answer: A
Question: Solve this logic number sequence puzzle by the correct digit
8080 = 6
1357 = 0
2022 = 1
1999 = 3
6666 = ?
Choices:
3
7
2
4
Answer: D
Question: When Sally went to the candy store, she bought 25 licorice sticks. As she was walking home, she ate 1 licorice stick for each block that she walked. She walked 5 blocks. How many licorice sticks did she have left when she arrived at home?
Choices:
25
20
19
21
Answer: B
Question: Kiran had 85 currency notes in all , some of which were of Rs.100 denomination and the remaining of Rs.50 denomination the total amount of all these currency note was Rs.5000.how much amount did she have in the denomination of Rs.50?
Choices:
5500
3500
6500
2500
Answer: B
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 48km/h, what is the circumference of the tire?
Choices:
2
4
3
5
Answer: A
Question: A committee of 6 is chosen from 7 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed?
Choices:
455
1404
2620
3510
Answer: A
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Choices:
77
26
12
99
Answer: C
Question: Aarti can do a piece of work in 3 days. In how many days will she complete 10 time of work of same type?
Choices:
18 days
21 days
30 days
13 days
Answer: C
Question: The least number which should be added to 2400 so that the sum is exactly divisible by 5,6,4 and 3 is :
Choices:
13
20
33
43
Answer: B
Question: In a series of six consecutive odd numbers, the third number is 31. What is the fifth number?
Choices:
35
45
31
29
Answer: A
Question: Sixteen machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days?
Choices:
3
4
6
8
Answer: D
Question: Billy read 2 books. He read the first one in one week with 25 pages everyday. He read the second book in 12 days with 23 pages everyday. What is the total number of pages that Billy read?
Choices:
656 pages
435 pages
451 pages
232pages
Answer: C
Question: If 0.5 of a number is equal to 0.09 of another number, the ratio of the numbers i
Choices:
3 : 4
3 : 20
3 : 7
9 : 50
Answer: D
Question: Marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 10%. What percent of the projected revenue was the actual revenue ?
Choices:
58%
62.5%
64%
75%
Answer: D
Question: A construction company wants to number new houses using digit plates only. If the company puts an order for 612 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
Choices:
179
196
240
200
Answer: C
Question: Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 85. If Jerry wants to raise his average by 3 points, what score must he earn on the fourth test?
Choices:
97
90
93
95
Answer: A
Question: Sum of ages of two friends is 32 while difference is 2 then their ages are
Choices:
17 years, 15 years
16 years, 18 years
18 years, 16 years
None
Answer: A
Question: There are three foam generators in the factory, each of the first two can generate 14 liters of foam in one hour and the third can generate 20 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
Choices:
132.
146.
161.
166.
Answer: C
Question: For how many integers n is 1^n+4 = (n+4)^1?
Choices:
2
3
None of these
4
Answer: C
Question: An investment of d dollars at k percent simple annual interest yields $400 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $1,600 over a 5 year period?
Choices:
(3d)/4
(4d)/3
(3d)/2
(8d)/5
Answer: D
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Choices:
10 hours
12 hours
50 hours
16 hours
Answer: A
Question: The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2?
Choices:
22 + a
2s
2a + 2
4 + a
Answer: D
Question: A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
Choices:
299
277
646
271
Answer: C
Question: A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 45%. Staff are allowed a further 40% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
Choices:
0.76D
0.65D
0.77D
0.33D
Answer: D
Question: June 25, 1982, fell on a Friday. On which day of the week did December 25, 1983, fall?
Choices:
Sunday
Tuesday
Wednesday
Thursday
Answer: A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180m
187m
287m
276m
Answer: A
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Choices:
287 m
175 m
187 m
167 m
Answer: B
Question: One fourth of a solution that was 10 percent gram flour by weight was replaced by a second solution resulting in a solution that was 16 percent gram flour by weight. The second solution was what percent gram flour by weight ?
Choices:
34%
22%
18%
8.5%
Answer: A
Question: How many numbers between 101 and 250, exclusive are divisible by three?
Choices:
41
50
83
148
Answer: B
Question: In a poll of 44,000 dentists, only 30 percent responded; of these, 20 percent claimed to prefer Toothpaste A. How many of the dentists who responded did not claim a preference for Toothpaste A?
Choices:
2,640
6,160
8,800
10,560
Answer: D
Question: Solve:-
111 x 111 x 111 + 555 x 555 x 555 = ?(111 x 111 - 111 x 555 + 555 x 555)
Choices:
666
555
988
889
Answer: A
Question: Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 28 have long fur, 17 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?
Choices:
19
11
8
6
Answer: C
Question: If K is the sum of reciprocals of the consecutive integers from 3 to 8, inclusive, then K is closest in value to which of the following?
Choices:
1.2
1/8
1/6
1/4
Answer: A
Question: A student got twice as many sums wrong as he got right. If he attempted 36 sums in all, how many did he solve correctly ?
Choices:
12
18
24
26
Answer: A
Question: A gang of 8 boys goes on an tour in 2cars, of which 1can seat 5 & the other only 4. In how many ways can they travel?
Choices:
121
126
128
130
Answer: B
Question: If P is a prime number greater than 3, find the remainder when p^2 + 17 is divided by 12.
Choices:
6
0
8
7
Answer: A
Question: If the numerator of a fraction be increased by 12% and its denominator decreased by 2% the value of the fraction becomes 6/7. Thus, the original fraction is:
Choices:
2/4
3/4
2/3
1/3
Answer: B
Question: In a 100 m race, A runs at 8km per hour. If A gives B a start of 9 m and still him by 15 seconds, what is the speed of B ?
Choices:
5.46 km/hr.
5.76 km/hr.
6.76 km/hr.
5.72 km/hr.
Answer: A
Question: Difference between two numbers is 5, six times of the smaller lacks by 4 from the four times of the greater. Find the numbers?
Choices:
7,5
9,7
11,9
13,8
Answer: D
Question: Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets T did Irwin score?
Choices:
1
2
3
4
Answer: B
Question: X can do a piece of work in 8hours. Y and Z together can do it in 6 hours, while X and Z together can do it in 4 hours. How long will Y alone take to do it?
Choices:
24 HOURS
34 HOURS
12 HOURS
10 HOURS
Answer: A
Question: What approximate value should come in place of (x) in the following question?
139.25 + 223.94 / 4.002 = x
Choices:
203
200
195
None of these
Answer: C
Question: A man's speed with the current is 20 kmph and speed of the current is 5 kmph. The Man's speed
against the current will be
Choices:
10 kmph
14 kmph
17 kmph
None of these
Answer: A
Question: Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution Q in the liquid in the tank after 3 minutes?
Choices:
6/8
4/8
2/8
3/8
Answer: D
Question: Two trains 180 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.7
10.3
10.8
12.24
Answer: D
Question: Number S is obtained by squaring the sum of digits of a two digit number D. If difference between S and D is 27, then the two digit number D is:
Choices:
54
34
45
25
Answer: A
Question: If 17m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Choices:
4m
6m
m/5
6m/5
Answer: B
Question: When positive integer n is divided by 4, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 35?
Choices:
2
5
19
20
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?
Choices:
704 m
278 m
288 m
378V
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 24 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
31 years
50 years
55 years
None
Answer: A
Question: In a store there is a number of people, out of which 1/30 are children, 1/6 are women and the remaining 120 are men. How many children are in the store?
Choices:
120
150
5
25
Answer: C
Question: An article is bought for Rs.1450 and sold for Rs.1420, find the loss percent?
Choices:
2%
6%
8%
12%
Answer: A
Question: If the LCM of 9, 7, 2, and q is 504, which of the following could be q?
Choices:
8
6
9
5
Answer: A
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.27000. A's share is?
Choices:
s.7200
s.6000
s.5750
s.9000
Answer: D
Question: If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. x+ y > z
III. yz > xz
IV. xy > y + z
Choices:
II only
II and III only
II and IV only
III and IV only
Answer: A
Question: If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 2)
II. z<(x − 1)/(y − 2)
III. z>(x + 1)/(y + 2)
Choices:
I and II
II and III
II only
I and III
Answer: B
Question: 24 oz of juice P and 25 oz of juice T are mixed to make smothies X and Y . The ratio of p to T in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
Choices:
10
15
20
25
Answer: C
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 120 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 6 o'clock?
Choices:
80 miles
110 miles
120 miles
400 miles
Answer: B
Question: Jack took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
Choices:
54.9
55.5
57.0
63.0
Answer: B
Question: The bankers discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:
Choices:
Rs. 360
Rs. 540
Rs. 1080
Rs. 1280
Answer: A
Question: The train leaves from New York City every 40 minutes from Boardman station. A man told John Watson that the train had left 15 minutes ago and the next train to New York City will leave at 9:40 p.m. At what time, man convey this information to John Watson?
Choices:
7:15 PM
8:15 PM
9:15 PM
None
Answer: B
Question: In order to obtain an income of Rs. 15000 from 80% stock at Rs. 200, one must make an investment of
Choices:
Rs.37000
Rs.37500
Rs.40000
Rs.40500
Answer: B
Question: emblem is coded as 216;
crude is coded as 125
hi will be ?
Choices:
64
8
32
16
Answer: B
Question: A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 24% of the original number. What percent of the red candies remain?
Choices:
16.7%
22.5%
27.5%
33.3%
Answer: B
Question: Three pieces of timber 48 m, 56 m and 72 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ?
Choices:
8 m
2 m
6 m
None of these
Answer: A
Question: A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?
Choices:
3/115
1/108
2/213
3/215
Answer: B
Question: The average of 1st 3 of 4 numbers is 6 and of the last 3 are 5. If the sum of the first and the last number is 21. What is the last numbers?
Choices:
5
6
7
9
Answer: D
Question: A professional stock trader just signed her new yearly contract with her employer. She will receive a 6% raise over last year's pay for her base pay, plus the chance to earn a performance bonus of up to $3,000. Last year, she earned no performance bonus. This year, assuming that she earns the full performance bonus, her new pay will be effectively an 8% raise. What will her new pay be assuming that she earns the full performance bonus.
Choices:
162,000
180,000
213,000
284,000
Answer: A
Question: Set B consists of 19 elements. The average of set B is L. If a new element is added to the set and the average grows by K, what is the value of the new element?
Choices:
a) L(1 + K / 5)
c) 20L(1+K/100)
d) 20(1+K/100)-19L
e) L*(K/5)-19
Answer: A
Question: Which is a better investment 12% stock at 200 or 7 2/3 stock at 150?
Choices:
12% stock at 200
7 2/3 stock at 150
Both are equally good
None
Answer: A
Question: What is the probability of flipping a fair coin three times and the coin landing on heads on exactly one flip?
Choices:
3/8
7/8
1/8
1/4
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Choices:
3
0
4
1
Answer: A
Question: If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100 (both inclusive) varies by how much?
Choices:
330
380
400
420
Answer: A
Question: The average (arithmetic mean) of eight numbers is 43.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Choices:
24.2
46.6
72.1
96.8
Answer: B
Question: The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is
Choices:
39
55
28
01
Answer: B
Question: A train 100 meters long completely crosses a 300 meters long bridge in 36 seconds. What is the speed of the train is?
Choices:
76 kmph
34 kmph
43 kmph
40 kmph
Answer: D
Question: Two unbiased coin are tossed .what is the probability of getting atmost one head?
Choices:
3/4
4/7
9/7
3/4
Answer: D
Question: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?
Choices:
3/4 hrs
9/4 hrs
3/4 hrs
1/4 hrs
Answer: A
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28 hours
19 hours
14 hours
14 hours
Answer: A
Question: In a hostel, the number of students decreased by 10% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?
Choices:
15%
25%
40%
7.4%
Answer: D
Question: If a = -2, what is the value of –(a^2 + a^3 + a^4 + a^5)?
Choices:
20
0
4
14
Answer: A
Question: When members of a certain club elected a chairman, each member voted for one of the three candidates. If candidate 1 received three times as many votes as the other two candidates together and candidate 2 received nine more votes than candidate 3, which of the following can be the number of members in the club?
Choices:
30
32
36
40
Answer: C
Question: If x and y are positive integers, and (4x)/(3y) is an integer, which of the following must be true?
I) x is a multiple of 4.
II) y is a multiple of 3.
III) x·y is a multiple of 3.
Choices:
II only
III only
I and II only
I, II and III
Answer: B
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 30 litres of tomato juice?
Choices:
3.75 liters.
8.5 liters.
2.6 liters.
2.1 liters.
Answer: A
Question: The three sides of an acute angled triangle (all in cms) are 12, 19 and g. How many integer values can g take?
Choices:
22
15
8
7
Answer: C
Question: What will be the cost of building a fence around a square plot with area equal to 25 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
1160
1102
1352
1450
Answer: A
Question: 9 men and 6 women will finish a work in 5 days, similarly 3 men and 15 women can finish the same work in 10 days then in how many days 9 men and 10 women will finish the same work.
Choices:
175/41 days
195/41 days
195/51 days
195/49 days
Answer: B
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?
Choices:
700 votes
770 votes
800 votes
860 votes
Answer: A
Question: Let f(x) = x^2 + bx + c. If f(6) = 0 and f(-1) = 0, then b + c =
Choices:
15
-15
-11
-24
Answer: C
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
2889
1000
2770
27912
Answer: B
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Choices:
8:7
4:8
2:9
2:7
Answer: A
Question: Ajay spends 25 per cent of his salary on house rent, 10 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajayâ€™s income?
Choices:
Rs.67500
Rs.60700
Rs.70500
None of these
Answer: A
Question: The side of a square has the length of 10. What is the area of the region shaded?
Choices:
48-6 π
24+6π
16+8π
64-10π
Answer: D
Question: Aman started a business investing Rs. 30,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Choices:
36:105:112
12:105:110
12:105:112
36:105:111
Answer: A
Question: Which of the following is greatest?
Choices:
2/10
2/10^3
2/10^4
2/10^6
Answer: A
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60
40
70
65
Answer: A
Question: If each of the two lines L1 and L2 is parallel to line L3, which of the following must be true?
Choices:
Lines L1 , ,L2 and L3 lie in different planes
Line L1 is parallel to line L2
Line L1 is the same line as line L2
Line L1 is the same line as line L3
Answer: B
Question: 8 , 16 , 24 , 32, 64 ....
In the sequence find the wrong term
Choices:
16
24
32
64
Answer: B
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.176 in 4 Years?
Choices:
8%
3%
9%
5.5%
Answer: D
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
3m
5m
6m
7m
Answer: A
Question: A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 30 hours, 50 percent worked 40 hours, and the rest worked 50 hours?
Choices:
$185,000
$190,000
$200,000
$205,000
Answer: C
Question: if 6 women take an hour to dig a ditch, then how long should 18 women take a dig to ditch of the same type?
Choices:
20 min
28 min
15 min
10 min
Answer: A
Question: What is the range of values of b for which 1 - b^8 < 0 ?
Choices:
b < -1 or b > 1
b > 1
b < -1
0 <= b <= 1
Answer: A
Question: Alex climbs a mountain peak and back from base. He takes the exact same route both ways. On the trip out he climbs up at an average speed of 5 miles per hour. On the trip back he climbs down at an average speed of 25 miles per hour. What is his approximate average speed for the round trip in miles per hour?
Choices:
8.33
20
22
25
Answer: A
Question: It was at a cocktail party in New York that I met Stephanie. We exchanged our phone numbers and decided to meet each other soon.
When she rang up and invited me to her house this is how she gave the number of her house.
I live in a long street. Numbered on the side of my house are the houses one, two, three and so on. All the numbers on one side of my house add up exactly the same as all the numbers on the other side of my house. I know there are more than fifty houses on that side of the street, but not so many as five hundred'
can you find Stephanie's house number?
Choices:
204
199
206
210
Answer: A
Question: A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 40, how many horses are there ?
Choices:
8
14
16
18
Answer: A
Question: On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 46 centimeters assuming that 1-inch is 2.54 centimeters?
Choices:
212
288.1
290
282.4
Answer: C
Question: If 65 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Choices:
40%
35%
30%
25%
Answer: A
Question: The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is......
Choices:
99
87
95
90
Answer: A
Question: Two vessels contains equal number of mixtures milk and water in the ratio 4:2 and 5:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
Choices:
3:1
5:11
11:3
15:4
Answer: A
Question: Three men A,B, C and two women X, Y are to be seated in one row. Of all the seating arrangements possible, in how many of them X sits to the immediate left of one of the men?
Choices:
48
60
72
96
Answer: C
Question: The smallest 5 digit number exactly divisible by 41 is?
Choices:
10004
10007
10009
10010
Answer: A
Question: Mom mixed 2 1/2 pounds of apples, 1 1/8 pounds of grapes and 1 1/4 pounds of pears for a
salad. After setting aside 1 1/2 pounds of salad for today, she divided the rest of the salad equally
into 3 containers. What is the weight of the salad in one container?
Choices:
1 1/8 lb
3 1/8 lb
4 1/8 lb
5 1/8 lb
Answer: A
Question: A single letter is selected at random from the word 'MISSING'. The probability that it is a vowel is..??
Choices:
2/7
4/11
3/7
1
Answer: A
Question: A crew is made up of 8 men; the rest are women. 66+2/3% of
the crew are men. How many people are in the crew?
Choices:
12
13
14
15
Answer: A
Question: 41% of 801 – 150.17 = ? – 57% of 910
Choices:
697
687
699
799
Answer: A
Question: A certain fruit stand sold apples for $0.80 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $7.20, what total number of apples and bananas did the customer purchase?
Choices:
11
12
13
14
Answer: B
Question: For what value of x, is |x – 3| + |x + 1| + |x| = 11?
Choices:
3
-3
4
-2
Answer: B
Question: A butler stole wine from a butt of sherry which contained
40% of spirit and he replaced,what he had stolen by wine
containing only 16% spirit. The butt was then of 24%
strength only. How much of the butt did he steal?
Choices:
2/3 of the butt
1/4 of the butt
1/8 of the butt
1/9 of the butt
Answer: A
Question: John is traveling to a meeting that is 26 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
Choices:
37 mph
41 mph
52 mph
56 mph
Answer: C
Question: Find the number which is nearest to 457 and is exactly divisible by 11.
Choices:
451
460
462
None
Answer: C
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.931. Find the cost of each ice-cream cup?
Choices:
76
29
12
20
Answer: D
Question: Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.
Choices:
2000
3087
None of these
Cannot be determined
Answer: B
Question: X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Choices:
5
3
6
8
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, B receives:
Choices:
s. 11,300
s. 11,500
s. 11,700
s. 11,900
Answer: D
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Choices:
1532500 m^2
153000 m^2
153300 m^2
153600 m^2
Answer: D
Question: The average number of shirts with Salman, Ambani and Dalmiya is 69, if all of them reached a shopping mall in Delhi and purchased 12 shirts each of them then average number of shirt each of them now has
Choices:
81
62
can't be determined
None of these
Answer: A
Question: The three competitors in a race have to be randomly chosen from a group of three men and four women. How many different such trios contain at least one woman?
Choices:
34
37
40
43
Answer: A
Question: In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
150
200
250
300
Answer: B
Question: Lindsay can paint 1/x of a certain room in 15 minutes. What fraction of the same room can Joseph paint in 15 minutes if the two of them can paint the room in an hour, working together at their respective rates?
Choices:
4x/(x – 4)
(x – 4) / 4x
1/ (x – 4)
(x – 4) / x
Answer: B
Question: If n is a positive integer, then n*(n+1)*(n+2) is
Choices:
even only when n is odd
odd whenever n is odd
divisible by 3 only when n is odd
divisible by 4 whenever n is even
Answer: D
Question: If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a + b + c ?
Choices:
18
-1
-3
-4
Answer: A
Question: A retailer buys 40 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1% ,what is the profit % ?
Choices:
10
15
20
None of them
Answer: A
Question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
8 1/3
8 1/0
8 1/2
8 1/5
Answer: A
Question: The average salary of all the workers in a workshop is $1000. The average salary of 5 technicians is $5000 and the average salary of the rest is $500. The total number of workers in the shop is?
Choices:
25
15
30
18
Answer: A
Question: An old priest fell on a bottom of the well of a church.
The well is 18 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
Choices:
14-days
11-days
19-days
10-days
Answer: A