antoine-444/aqua_rat_dataset huggingface dataset:
Question: When the oil from a circular cylinder leaked, the formula for the speed of the leak is V = kh^2, where h was the height of the remaining oil and k was constant. If the height of the cylinder is 3, the speed of the leak is Vâ€™, When the height of the oil remaining is 9, what was the speed of the leak, in terms of Vâ€™?
Choices:
9Vâ€™
Vâ€™/2
Vâ€™/4
Vâ€™
Answer: A
Question: What is the sum of all 3 digit nos formed by {1,3,5,7,9} with nos not repeated
Choices:
33300
38500
39800
45200
Answer: A
Question: Four business people wish to invest in a new company. Each person is willing to pay one fourth of the total investment. After careful calculations, they realize that each of them would pay $6,200 less if they could find two more equal investors. How much is the total investment in the new business?
Choices:
$74,400
$25,000
$ 6,200
$ 4,300
Answer: A
Question: For integers x and y, if 91x = 8y, which of the following must be true?
I. y > x
II. x is not a integer
III. The cube root of x is not an integer
Choices:
II only
III only
I and II
None of these
Answer: D
Question: In a car dealership, they buy cars for Rs.320000 and takes a profit of Rs. 25000. What is the % of profit dealership is making per car?
Choices:
11.6%
7.8%
10.2%
6.6%
Answer: B
Question: In a recent election, Geoff received 0.5 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
Choices:
54
56
60
63
Answer: C
Question: The area of the largest triangle that can be inscribed in a semicircle pf rasius r Cm, is:
Choices:
r(power)2 Cm(power)3
r(power)3 Cm(power)3
r(power)2 Cm(power)2
None of them
Answer: C
Question: In a recent head-to-head run-off election, 15,000 absentee ballets were cast. 1/5 of the absentee ballets were thrown out and 1/4 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?
Choices:
3,000
6,000
8,000
9,000
Answer: D
Question: Find the 25% of Rs. 500.
Choices:
s. 70
s. 100
s. 125
s. 60
Answer: C
Question: P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
Choices:
14 days
15 days
9 days
7 days
Answer: B
Question: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
3hrs45 min
3hrs75 min
3hrs49 min
3hrs25 min
Answer: A
Question: ?% of 360 = 162
Choices:
36
45
72
None of these
Answer: B
Question: A can do a piece of work in 90 days & Y can do it in 80 days. They began working together but A leaves after some days and then B completed the remaining work in 46 days. The number of days after which A left the work was?
Choices:
12 days
16 days
18 days
20 days
Answer: B
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
85 cm2
65 cm2
45 cm2
35 cm2
Answer: D
Question: P is four times as fast as Q and working together, they can complete a work in 15 days. In how many days can Q alone complete the work?
Choices:
8 3/4 days
16 1/4 days
25 days
18 days
Answer: A
Question: A certain experimental mathematics program was tried out in 2 classes in each of 26 elementary schools and involved 32 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
Choices:
0 and 14
1 and 10
1 and 9
2 and 8
Answer: B
Question: In a sequence, each term is obtained by adding 6 to the preceding one. If the sum of the first 10 terms is equal to 100, what is the result of the addition of the first 30 terms?
Choices:
2100
2200
2250
2400
Answer: A
Question: If each data point in a certain set Q is increased by a factor of 5, what happens with the set's standard deviation?
Choices:
Decreases by Factor 5
Increases by Factor 5
Increases by 5
Can't be determined
Answer: B
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 7, AB = 5 and AC = 11, what is the length of AE?
Choices:
21
23
25
27
Answer: A
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.500 in 2 years?
Choices:
287
453
288
171
Answer: B
Question: Ratio between Rahul and Deepak is 4:3, After 4 Years Rahul age will be 32 years. What is Deepak present age.
Choices:
15
20
21
24
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
450
718
750
738
Answer: A
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
Rs.250
Rs.297
Rs.277
Rs.299
Answer: A
Question: There are 15 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
Choices:
105
115
120
125
Answer: A
Question: If a,b are positive integers and a/b=80.75 which of the following could be the value of b?
Choices:
2. 26
3. 27
4. 24
5. 30
Answer: C
Question: In how many ways can the letters of word "EDUCATION" be arranged such that all the vowels as well as all the Consonants always appear together?
Choices:
5!*4!
5!*5!
5!*4!*2!
6!*4!
Answer: C
Question: How much is 80% of 40 is greater than 4/5 of 20?
Choices:
27
18
16
81
Answer: C
Question: In a group of 89 students, 36 are taking History, and 32 are taking Statistics. If 59 students are taking History or Statistics or both, then how many students are taking History but not Statistics?
Choices:
19
27
26
31
Answer: B
Question: What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between the two sides is 150o?
Choices:
24 sq units
24 under root 3
48 under root 3
Such a triangle does not exist
Answer: A
Question: Several people are sitting around a round table playing a card game with a deck of 49 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table?
Choices:
4
7
11
13
Answer: A
Question: At what time between 2 and 3 o'clock will the hands of a clock be together?
Choices:
120/11 min. past 2
120/11 min. past 1
120/11 min. past 5
120/11 min. past 4
Answer: A
Question: Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 30hr. If all pipes are opened simultaneously, then the cistern will be filled in
Choices:
6.67 hr
8.5 hr
10 hr
None of these
Answer: A
Question: Today is Monday. After 51 days, it will be :
Choices:
Saturday
Monday
Sunday
Wednesday
Answer: D
Question: In the quiet town ofNothintodothere are 700 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
Choices:
100.
150.
200.
300.
Answer: B
Question: 9 friends went to a super market, and everyone decided to contribute equally to the total bill of $900. If one of the friends had a coupon for 10% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choices:
60
80
90
95
Answer: C
Question: In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $2,000 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $8,000 higher that M, then what percentage of apartments in the building are two-bedroom apartments?
Choices:
20%
50%
60%
27%
Answer: A
Question: What is the minimum percentage increase in the mean of set D {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes?
Choices:
50%
75%
100%
200%
Answer: C
Question: A five feet long staff casts a shadow 2 feet long. Can you find the height of a steeple whose shadow at the same hour, is 120 ft. long?
Choices:
200 feet
510 feet
400 feet
700 feet
Answer: A
Question: Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
Choices:
29.25
29.29
29.12
29.19
Answer: A
Question: At the end of year X, automobile installment credit accounted for 35% of all outstanding consumer installment credit. At that time automobile finance companies extended $40 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?
Choices:
300
401.36
350.15
342.86
Answer: D
Question: One ball is picked up randomly from a bag containing 8 yellow, 7 blue and 6 black balls. What is the probability that it is neither yellow nor black?
Choices:
1/3
1/2
3/4
1/5
Answer: A
Question: The average of 11 numbers is 10.9. If the average of first six is 10.1 and that of the last six is 11.4 the sixth number is?
Choices:
10
10.5
9.1
12
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:
20400
20730
20500
20600
Answer: B
Question: A is twice as good a workman as B and they took 10 days together to do the work B alone can do it in?
Choices:
88 days
30 days
11 days
13 days
Answer: B
Question: The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
Choices:
7899
4320
1680
1692
Answer: B
Question: A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.3, and there are exactly 90 candies, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?
Choices:
$20.75
$24.90
$42.75
$45.00
Answer: B
Question: John.s car dealership contains m cars, 20% of which are minivans and 80% are sedans. Kevin's car dealership contains n cars, 40% of which are minivans are 60% are trucks. Larry's car dealership contains p cars, 50% of which are minivans and 50% of which are convertibles. If 25% of the m + n + p cars contained at the three dealerships are minivans, what is m in terms of n and p?
Choices:
3n + 5p
4n + 5p
(n+5p)/2
(4n+5p)/3
Answer: A
Question: A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?
Choices:
155
490
140
160
Answer: C
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 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 R in the liquid in the tank after 3 minutes?
Choices:
6/11
6/68
6/19
6/12
Answer: A
Question: Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 05:00 and starts climbing at a constant pace. Ken starts climbing only at 07:00, when Sari is already 700 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?
Choices:
13:30
14:00
15:00
12:00
Answer: D
Question: list of salaries of 8 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $32,000
Choices:
$28,500
$30,200
$30,800
$31,500
Answer: D
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.64, find the sum of money?
Choices:
328
72
205
267
Answer: A
Question: 3 persons (1 couple and 1 single) are seated at random in a row of 5 chairs. What is the probability that the couple does not sit together?
Choices:
4/5
2/5
3/5
11/18
Answer: C
Question: The price of sugar is increased by 20%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is :
Choices:
1:4
1:6
1:5
None
Answer: B
Question: A Man can row upstream at 87kmph and downward stream at 47 kmph. Find Man's rate of the current
Choices:
20km/hr
65km/hr
2.8km/hr
4.4km/hr
Answer: A
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68 Kmph
97 Kmph
16 Kmph
17 Kmph
Answer: A
Question: The simple interest on a certain sum of money at the rate of 5% p.a. for 8 years is Rs. 840. At what rate of intrest the same amount of interest can be received on the same sum after 5 years.
Choices:
6%
7%
8%
9%
Answer: C
Question: Three interviewers, A, B, and C are interviewing 50 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer A admitted 20 applicants, B admitted 22 applicants, and C admitted 20 applicants, at least how many applicants get the admission?
Choices:
0
6
8
12
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 4 employees to 2 different offices?
Choices:
15
14
16
18
Answer: C
Question: For how many values of N, is |||N - 5| -10| -5| = 2?
(Those ls are mods)
Choices:
2
4
8
More than 8
Answer: C
Question: Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 35 as remainder
Choices:
1456
1567
1678
1631
Answer: D
Question: Praveen starts business with Rs.3780 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Choices:
s.8000
s.8500
s.9720
s.6000
Answer: C
Question: A 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
828
277
400
Answer: D
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are?
Choices:
6
2
7
2
Answer: A
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
Choices:
88
66
44
12
Answer: B
Question: The average score of a cricketer for ten matches is 38.9 runs. If the average for first six matches is
42, then average for last four matches is
Choices:
32.25
34.25
34.5
None of these
Answer: B
Question: If a is an even integer and b is an odd integer which of the following must be an even integer :
Choices:
ab
2a+b
2(a+b)
option A B and D
Answer: D
Question: a, b, c, and d are positive consecutive odd integers and a < b < c < d.
If you take away the last number from the square of the first number, you get a number that is three more than the sum of the last three numbers. What is the product of ac?
Choices:
77
101
39
18
Answer: A
Question: The averge score of a cricketer for ten matches is 41 runs. If the average for the first six matches is 35. Then find the average for the last four matches?
Choices:
50
60
45
48
Answer: A
Question: A worker is paid a regular rate of Rs.10 for completing a survey. The worker completes 50 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 30% higher than her regular rate. If she completed 35 surveys involving the use of her cellphone, how much did she get that week?
Choices:
605
105
100
200
Answer: A
Question: Along a yard 255 metres long, 18 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Choices:
15
10
11
12
Answer: A
Question: Lucas and David are partners in a business, they invested Rs. 30,000 and Rs. 45,000 respectively.If the business yielded a total profit of Rs. 18,500, what is David's share?
Choices:
11520
15700
11100
11142
Answer: C
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 46 years now, the son's age five years back was?
Choices:
14 years
18 years
19 years
15 years
Answer: B
Question: If a and b are positive integers such that a/b = 2.86, which of the following must be a divisor of a?
Choices:
10
18
26
50
Answer: A
Question: A metallic sheet is of rectangular shape with dimensions 50 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Choices:
5440
6420
7500
8960
Answer: A
Question: A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
49 m2
53.5 m2
55 m2
57 m2
Answer: A
Question: A monkey ascends a greased pole 18 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?
Choices:
22nd
33rd
24th
None of these
Answer: B
Question: If u r genius solve it:-
50 * 15 = 12
40 * 14 = 11
30 * 13 = ?
Choices:
12
6
8
10
Answer: A
Question: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
77
99
17
13
Answer: D
Question: Five little kids were walking down the street. At a shop, they saw three brands of chocolates viz. Cadbury, Nestle and Ferrero there. The shopkeeper has three chocolates which are of three different flavors of each brand. The kids bought all the chocolates available and decided to play a game. The chocolates will be distributed only to the winners of that game. Also they have decided that any winner cannot have all three brands of chocolates as his prize. Find the number of ways in which the chocolates can be distributed when there are four winners of the game and the best of them gets at least 4 chocolates?
Choices:
22536
4320
11268
45072
Answer: A
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
5%
9%
4%
1%
Answer: C
Question: A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.3 m and its walls are 5 cm thick. The thickness of the bottom is:
Choices:
3 dm
1 m
1.1 cm
None of these
Answer: A
Question: A man sells a horse for Rs.680 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
679
780
860
898
Answer: B
Question: John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
Choices:
30
50
55
70
Answer: A
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choices:
100 gallons
120 gallons
180 gallons
130 gallons
Answer: B
Question: The speeds of three motor bikes are in the ratio 6 : 4 : 2. The ratio between the time taken by them to travel the same distance is :
Choices:
2 : 4 : 6
2 : 3 : 6
2 : 3 : 7
1 : 3 : 6
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
Choices:
20/63
20/68
20/66
20/29
Answer: A
Question: An arithemetic sequence of numbers begins p, 2p + 3, 4p + 4... What is the 12th member of this sequence?
Choices:
A)57
+ 13
D)53
+ 13
Answer: A
Question: The sector of a circle has radius of 18 cm and central angle 135o. Find its perimeter?
Choices:
78.4 cm
91.8 cm
92.5 cm
99.5 cm
Answer: A
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
59007
59002
59000
59001
Answer: C
Question: Question: What is the remainder when I= (1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144?
Choices:
25
49
81
100
Answer: C
Question: A shop owner buys a 1280 ounce bag of sugar for resale. How many 1 pound containers can she sell?
Choices:
80
100
110
120
Answer: A
Question: A hostess must seat 10 people around 2 circular tables. Table 1 can hold 6 people, table 2 can hold 4 people. If the hostess always seats people at Table 1 first and 2 seating arrangements are said to be different only when the positions of people are different relative to each other at the table, how many seating arrangements are possible?
Choices:
15!*210
120*3!
5!*3!*210
5!*5!*3!
Answer: C
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Choices:
31 years
44 years
48 years
75 years
Answer: A
Question: If DHOOM is coded as 25 and RACE is coded as 14, then FASHION is coded as
Choices:
14
36
48
None
Answer: A
Question: 1=6,2=36,3=363,4=364,5=365, then 36=?
Choices:
2
345
445
235
Answer: A
Question: Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 4200 envelopes.
Choices:
3
4
6
60/7
Answer: A
Question: Truck P and Truck Q drive on the highway in the same direction at respective rates of 70 kph and 75 kph. If Truck Q is 5 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 20 minutes?
Choices:
8 kph
10 kph
12 kph
14 kph
Answer: B
Question: A man can row 6 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.
Choices:
2 km/hr
1 2.6 km/hr
22.5 km/hr
22.6 km/hr
Answer: A
Question: 90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 50% of the total school population of x students, what is x?
Choices:
134
225
250
500
Answer: A
Question: A train 100 m long crosses a platform 125 m long in 1 sec; find the speed of the train?
Choices:
810
930
100
200
Answer: A
Question: If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss.
Choices:
$40
$50
$30
$80
Answer: B
Question: Assuming i have an infinite supply of coins.
What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins.
Choices:
2
3
4
5
Answer: C
Question: If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+5 ?
Choices:
-2
-3
6
-5
Answer: C
Question: Kim bought a total of $1.82 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 3-cent stamps, what is the least number of 1-cent stamps she could have bought?
Choices:
32
45
60
75
Answer: A
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
Choices:
2778
3000
212
28812
Answer: C
Question: A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes
to cover a distance of 5 km upstream. Find the speed of the current.
Choices:
1 km/hr
3 km/hr
4 km/hr
None of these
Answer: A
Question: If 45% of z is 96% of y and y is 75% of x, what percent of x is z?
Choices:
160
100
65
50
Answer: A
Question: Pipes A and B can fill a tank in 3 and 5 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
12/19 hr
20/9 hr
9/20 hr
63/19 hr
Answer: B
Question: The value of (10^8-10^2)/(10^6-10^3) is closest to which of the following?
Choices:
10
10^2
10^3
10^4
Answer: B
Question: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
Choices:
7500
2789
2668
2088
Answer: A
Question: What is the average of three tenths and five thousandths
Choices:
0.3325
0.1525
0.2012
0.2114
Answer: B
Question: A , B , and C started a partnership business by investing $45,000 , $63,000 , and $72,000 respectively. At the end of the year, the profit was distributed among them. If C's share of profit is $24,000, what is the total profit?
Choices:
$52,000
$56,000
$60,000
$64,000
Answer: C
Question: Which of the following is not divisible by 8?
Choices:
21192
47816
91232
72034
Answer: D
Question: At garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 25th lowest price among the prices of the items sold, how many items were sold at the garage sale?
Choices:
34
35
39
37
Answer: C
Question: A 4 digit number 8a43 is added to another 4 digit number 3121 to give a 5 digit number 11b64, which is divisible by 11, then (a+b)=?
Choices:
3
7
5
9
Answer: A
Question: A man sitting in a train which is travelling at 80 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
Choices:
62 kmph.
72 kmph.
80 kmph.
32 kmph.
Answer: D
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
23.9 kmph
21.9 kmph
12.5 kmph
13.8 kmph
Answer: C
Question: A women has 3 purse and 4 paper. In how many ways can he put the paper in her purse?
Choices:
80
81
82
85
Answer: B
Question: 19 persons went to a hotel for a combined dinner party. 13 of them spent Rs 79 each for the dinner and the rest spent Rs 4 more than the average expenditure of all the 19. What was the total money spent by them?
Choices:
Rs1536
Rs1492
Rs1498
none of these
Answer: A
Question: If 10 gallons of grape juice are added to 50 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
Choices:
25%
28%
34%
50%
Answer: A
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 10 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
48
55
None of these
Answer: C
Question: The L.C.M of two numbers is 48. The numbers are in the ratio 1:3. The sum of numbers is:
Choices:
30
40
50
64
Answer: D
Question: The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 25 years. What is the age of the new member ?
Choices:
21 years
40 years
23 years
24 years
Answer: B
Question: A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
Choices:
4
3
7
6
Answer: C
Question: Every year an amount increases by 1/9th of itself. How much will it be after two years if its present value is Rs.64000?
Choices:
81007
81008
79012.3
81022
Answer: C
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 12,000?
Choices:
750,000
850,000
7,500,000
2,400,000,000
Answer: D
Question: certain office 1/3 of the workers are women ½ of the women are married and 1/3 of the married women have children if ¾ of the men are married and 2/3 of the married men have children what part of workers are without children?
Choices:
1/18 of all workers
11/18 of all workers
13/18 of all workers
4/18 of all workers
Answer: B
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 12 minutes and the second alone would have done it in 8 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Choices:
4 4/5min
3 3/5min
3 4/5min
3 min
Answer: A
Question: (0.96)(power 3) - (0.1)(power 3)/ (0.96)(power 2) + 0.096 + (0.1)(power 2) is:
Choices:
0.86
0.96
0.69
0.76
Answer: A
Question: What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (18^2 – 1))
Choices:
a. 9/19
c. 10/21
d. 11/21
e. 11/19
Answer: A
Question: Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 60 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 30 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work?
Choices:
34
30
40
46
Answer: B
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 10 years?
Choices:
2%
4%
5%
3%
Answer: A
Question: A and B go around a circular track of length 900m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
165 sec
186 sec
180 sec
168 sec
Answer: C
Question: If 7^n is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of n?
Choices:
13
14
15
16
Answer: D
Question: There are 200 female managers in a certain company. Find the total number T of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
Choices:
T=400
T=500
600
None of these
Answer: B
Question: The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
Choices:
3/2
3/8
3/4
3/1
Answer: A
Question: If (3/2)x - 3 = 15
what is the value of x ?
Choices:
12
-1/12
1/12
3
Answer: A
Question: A parking space have 8 different slots. 8 cars has to arrange in 8 slots. But there are exactly 4 cars between 2 specified cars. In how many ways cars can be arranged?
Choices:
650
1500
1640
1440
Answer: D
Question: Robex traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
Choices:
x=3z
y=2x
x=2y
y=3x
Answer: C
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
270
279
263
271
Answer: A
Question: If 20% of a = b, then b% of 20 is the same as:
Choices:
4% of a
20% of a
30% of a
None of these
Answer: A
Question: Calculate how long it will take a swimmer to swim a distance of 12km against the current of a river which flows at 1.2 km/hr, given that he can swim in still water at 5km/h
Choices:
3.16
2.34
3.98
3.17
Answer: A
Question: A train running at 1/6 of its own speed reached a place in 24 hours. How much time could be saved if the train would have run at its own speed?
Choices:
20hrs
12hrs
15hrs
6hrs
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.1000, find the gain percent?
Choices:
44%
48%
32%
46%
Answer: B
Question: The salaries of A and B together amount to $6000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary?
Choices:
$1250
$2500
$4500
$5200
Answer: C
Question: There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
Choices:
Rs.2022
Rs.2000
Rs.2029
Rs.2021
Answer: B
Question: On a weekend, 7 college friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?
Choices:
$210
$147
$560
$412
Answer: D
Question: which one is odd?
4377
3954
9861
8454
9831
Choices:
3954
9861
8454
None
Answer: B
Question: The product of two natural numbers is 19. The sum of the reciprocal of its square is
Choices:
362/361
360/359
359/360
None of these
Answer: A
Question: The crew of a rowing team of 8 members is to be chosen from 12 men (M1, M2, …., M12) and 8 women (W1, W2,…., W8), such that there are two rows, each row occupying one the two sides of the boat and that each side must have 4 members including at least one women. Further it is also known W1 and M7 must be selected for one of its sides while M2, M3 and M10 must be selected for other side. What is the number of ways in which rowing team can be arranged.
Choices:
1
5
6
4
Answer: D
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 30 metres?
Choices:
6 seconds
7 seconds
1 seconds
2 seconds
Answer: A
Question: A six-character password consists of three letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choices:
2,228,720
22,226,000
22,237,440
22,464,000
Answer: D
Question: Find the odd man out. 23, 27, 36, 52, 77, 111, 162
Choices:
111
52
27
36
Answer: A
Question: Jaclyn buys $50 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
Choices:
1187.5
1289
1345
None of these
Answer: A
Question: If A = x% of y and B = y% of x, then which of the following is true?
Choices:
Relationship between A and B cannot be determined
If x is smaller than y, then A is greater than B.
None of these
B is smaller than A
Answer: C
Question: The number of arrangements that can be made with the letters of the word MEAUDOWS so that the vowels occupy the odd places?
Choices:
B)534
C)576
D)656
E)476
Answer: B
Question: A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among eight colors produced enough color codes to identify all but 5 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in the codes does not matter.)
Choices:
33
34
35
36
Answer: A
Question: A monk has a very specific ritual for climbing up the steps to the temple. First he climbs up to the middle step and meditates for 1 minute. Then he climbs up 8 steps and faces east until he hears a bird singing. Then he walks down 12 steps and picks up a pebble. He takes one step up and tosses the pebble over his left shoulder. Now, he walks up the remaining steps three at a time which only takes him 9 paces.
How many steps are there?
Choices:
49 steps
44 steps
35 steps
49 steps
Answer: A
Question: Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Three years from today, the difference between the age of the boy and the combined ages of the girls will be
Choices:
2
3
–2
–1
Answer: C
Question: The average score of a cricketer in 2 matches is 20 and in other 3 matches is 30. Then find the average score in all the 5 matches?
Choices:
26
30
35
42
Answer: A
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?
Choices:
5 kmph
6 kmph
4 kmph
7 kmph
Answer: C
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Choices:
2/9
1/3
1/9
1/7
Answer: C
Question: Bob invested $2000 in fund A and $1000 in fund B. Over the next two years, the money in Fund A earned a total interest of 12 percent for the two years combined and the money in fund B earned 30 percent annual interest compounded annually. Two years after bob made these investments. Bob's investment in fund A was worth how much more than his investment in fund B?
Choices:
$550
$600
$650
$700
Answer: A
Question: Four persons enter the lift of a seven storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
Choices:
1296
1540
1478
360
Answer: A
Question: For any positive integer r, the sum of the first r positive integers equals r(r+1)/2 . If s and r are positive integers and s > r, what is the sum of all the integers between s and r, inclusive?
Choices:
s(s+1)/2 - r(r-1)/2
s(s+1)/2 - r(r+1)/2
s(s+1)/2 + r(r-1)/2
s(n+1)/2 - r(s-1)/2
Answer: A
Question: 24 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Choices:
6
4
7
5
Answer: A
Question: Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2400.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 2000 over the same period that B's volume increases from 2000 to 4000, the percent increase in profits for the firm with the biggest dollar increase in profits is
Choices:
30%
60%
50%
33%
Answer: A
Question: If X = 2 + 1/(1+1/(1-1/2))then the value of 5x+7/3?
Choices:
10 1/3
11
11 2/3
14
Answer: D
Question: Which of the following expressions CAN be equal to 0 when x^2 − x = 6 ?
Choices:
x^2 − 3x +2
x^2 − 5x +5
x^2 − 3x +1
x^2 − 4x +2
Answer: A
Question: How many ltrs of water must beadded to 16 ltrs of milk and water containing 10% water to make it 20% water in it?
Choices:
2 liter
3 liter
4 liter
4.5 liter
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 28 years now, the son's age five years back was:
Choices:
4 years
33 years
8 years
39 years
Answer: A
Question: What Approximate Values should comein place of the question mark (?) in each of the following equations ?
85% of 225 + 56% of 450 + 32.98 x 5.001 = ?
Choices:
625
608
605
610
Answer: B
Question: Two concentric circles form a ring. The inner and outer circumferences of ring are (352/7) m and (518/7) m respectively. Find the width of the ring.
Choices:
4
6
8
None of them
Answer: A
Question: In the x-y plane, the area of the region bounded by the graph of |x+y| + |x-y| = 2 is
Choices:
1
16
20
24
Answer: A
Question: Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
Choices:
2 times
3 times
4 times
5 times
Answer: A
Question: emblem is coded as 216;
crude is coded as 125
Cricket will be ?
Choices:
143
343
383
393
Answer: B
Question: The difference between the place values of 7 and 3 in the prime number 527435 is
Choices:
5
45
6970
None
Answer: C
Question: What is the remainder when 25473 is divided by 5?
Choices:
3
4
5
0
Answer: A
Question: The ages of 2 persons differ by 16 years. If 6 years ago the elder one be 3 times as old as the younger one, find the present age of younger person.
Choices:
14
20
15
32
Answer: A
Question: From the starting point in a boat race, one competitor started to sail north at a speed of 1.6 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
Choices:
10.
12.5.
14.
15.4.
Answer: A
Question: What is the least number, which is perfect square but contains 2700 as its factor?
Choices:
8100
54000
2500
2700
Answer: A
Question: Machine A can finish a job in 4 hours, Machine В can finish the job in 2 hours, and Machine С can finish the job in 6 hours. How many hours will it take for A, B, and С together to finish the job?
Choices:
6/5
8/7
10/9
12/11
Answer: D
Question: Three hoses work to fill a tub at at different rate. Hose Q and B, working together, can fill the tub in 6/5 of an hour. Hoses Q and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution
Choices:
2/5
1/2
1
6/5
Answer: C
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
Choices:
8%
12%
15%
10%
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
Choices:
120 m
190 m
150 m
180 m
Answer: C
Question: W and X start a business with Rs.5000 and Rs.20000 respectively. Hoe should they share their profits at the end of one year?
Choices:
1:3
1:4
1:5
2:1
Answer: B
Question: In x-y plane, there is a right triangle ABC (∠B=90o). If the length of AC is 25 and the slope of line segment AC is 4/3, what is the length of AB?
Choices:
18
24
20
40
Answer: C
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of four rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
Choices:
12 min
10 min
15 min
20 min
Answer: D
Question: Working alone at its constant rate, pump A pumped out ¼ of the water in a tank in 2 hours. Then pumps B and C started working and the three pumps, working simultaneously at their respective constant rates, pumped out the rest of the water in 3 hours. If pump B, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water, how many hours would it have taken pump C, working alone at its constant rate, to pump out all of the water that was pumped out of the tank?
Choices:
12
15
18
24
Answer: A
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4&5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
A)
B)
C)
D)
E)
Choices:
1/5
4/5
7/3
2/7
Answer: A
Question: In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 48 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
Choices:
2^4*3
24
38
47
Answer: D
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1435
1456
1567
1635
Answer: D
Question: 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many B hours will it take 12 beavers that work at the same pace, to build the same dam?
Choices:
4.
B=5.
B=6.
B=8.
Answer: B
Question: A train running at the speed of 54 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
135
255
150
287
Answer: A
Question: How many different sets of positive square integers K, each greater than 1, add up to 75?
Choices:
4
7
11
13
Answer: D
Question: A can do a piece of work in 25 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choices:
10 1/3 days
13 1/3 days
15 1/3 days
13 2/3 days
Answer: B
Question: A train running at the speed of 142 km/hr crosses a pole in 12 seconds. Find the length of the train.
Choices:
540
200
340
712
Answer: A
Question: 4 bells first begin to toll together with anintervals of 5,10,15 & 20 sec. How many times does they toll together in an hr?
Choices:
60
67
78
98
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 50%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
125%
130%
175%
143%
Answer: A
Question: Which of the following inequalities is equivalent to -24 > -4 - 10x?
Choices:
x < 2
x < 3
x < 4
x < 5
Answer: A
Question: A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 2¢ envelopes and 7¢ envelopes. If the company requested 3 more 2¢ envelopes than 7¢ envelopes, which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ?
Choices:
2x+22
5x+7
(6x+14)/2
5x-7
Answer: D
Question: A person can go from place “P” to “Q” by 7 different modes of transport, but is allowed to return back to “P” by any mode other than the one used earlier. In how many different ways can he complete the entire journey?
Choices:
42
77
29
10
Answer: A
Question: 6) A marketing firm determined that , of 160 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?
Choices:
b) 20
c) 30
d) 40
e) 5
Answer: D
Question: Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Choices:
Rs. 10.40
Rs. 15.20
Rs. 13
Rs. 14
Answer: A
Question: A case contains c cartons. Each carton contains b boxes, and each box contains 300 paper clips. How many paper clips are contained in 2 cases?
Choices:
300b/c
600bc
600b/c
600/bc
Answer: B
Question: 55 word in the arrangement of letter PERFECT?
Choices:
CEPFERT
CEPFERT
CEPFERJ
CEPFERG
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.450 is required to paint the floor at the rate of Rs. 5 per sq m, then what would be the length of the floor?
Choices:
44
21.21
16
14
Answer: B
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 100 meters, how long will it take to cross a railway platform 175 meters long
Choices:
7 ½ sec
8 sec
8 ½ sec
9 sec
Answer: A
Question: A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
Choices:
66 km/hr
68 km/hr
26 km/hr
46 km/hr
Answer: A
Question: What is the capacity of a cylindrical tank?
I. Radius of the base is half of its height which is 28 metres.
II. Area of the base is 616 sq. metres and its height is 28 metres.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: B