antoine-444/aqua_rat_dataset huggingface dataset:
Question: A University library checks out books for a 5-week period, but allows them to be renewed up to 6 times. What is the Maximum no.of Weeks the library will allow a book to be checked out?
Choices:
35
37
39
41
Answer: A
Question: Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many Q hours does it currently take Anne to clean the house on her own?
Choices:
7
8
12
14
Answer: C
Question: An bus covers a certain distance at aspeed of 100 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
Choices:
567 km/h
300 km/h
723 km/h
720 km/h
Answer: B
Question: In a simultaneous throw of two coins, the probability of getting atleast one headis:
Choices:
1/3
2/3
3/4
1/4
Answer: C
Question: A right circular cylinder has a height of 22 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
Choices:
500(π – 2.5)
500(π – 2)
550(π – 1.5)
500(π – 1)
Answer: C
Question: A table is bought for Rs.1000/- and sold at Rs.1500/- find gain or loss percentage
Choices:
35% gain
45% loss
50% gain
None
Answer: C
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
Choices:
127
145
187
185
Answer: A
Question: The sum of three consecutive integers is 93. What are the integers?
Choices:
10,11,12
30,31,32
40,41,42
30,31,32
Answer: D
Question: A rectangular plot measuring 60 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Choices:
44m
26m
56m
25m
Answer: A
Question: A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 10 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
Choices:
53
74
86
95
Answer: C
Question: A train 1600 m long can cross a pole in 40 sec and then find the speed of the train?
Choices:
142
144
146
148
Answer: B
Question: 2 trains starting at the same time from 2 stations 200km apart and going in opposite direction cross each other at a distance of 110km from one of the stations.what is the ratio of their speeds ?
Choices:
11:9
91:9
11:1
11:5
Answer: A
Question: A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
Choices:
20,000 square meters.
60,000 square meters.
80,000 square meters.
100,000 square meters.
Answer: A
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:
37 cm2
87 cm2
16 cm2
35 cm2
Answer: D
Question: If the complement of a certain angle is one time the measure of that certain angle, then what is the measure of that certain angle?
Choices:
45°
22.5°
18°
15°
Answer: A
Question: A train , having a length of 165 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
Choices:
9 sec
6 sec
4 sec
2 sec
Answer: A
Question: A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
Choices:
240
190
200
250
Answer: A
Question: Mazy bought shares for a total value of $1000. Next day, the price of shares is reduced by 10%. With the same $1000, he could now buy 10 more shares. Which of the following is closest to the original price per share?
Choices:
$11
$12
$13
$14
Answer: A
Question: A bag contains 5 white marbles and 5 red marbles. If each of 5 girls and 5 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
Choices:
1/35
1/3
1/462
1/126
Answer: D
Question: If xy not equal 0 and x^2*y^2 -xy = 6, which of the following could be y in terms of x?
I. 1/2x
II. -2/x
III. 3/x
Choices:
II only
I and II
I and III
II and III
Answer: D
Question: During the break of a football match, the coach will make 3 substitutions. If the team consists of 14 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
Choices:
18/44
21/99
28/44
36/55
Answer: B
Question: In the equation 2x – cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 3 ?
Choices:
-4
-3
4
9/2
Answer: D
Question: Population of a city in 20004 was 1000000. If in 2005 there isan increment of 25% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Choices:
979923
980241
1178125
1083875
Answer: C
Question: A sum fetched a total simple interest of Rs. 929.20 at the rate of 8 p.c.p.a. in 5 years. What is the sum?
Choices:
2323
2563
1853
2353
Answer: A
Question: A toy store regularly sells all stock at a discount of 20 percent to 40 percent. If an additional 25 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?
Choices:
$7.20
$8.80
$9.60
$15.20
Answer: A
Question: Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 8 hours to paint a wall with dimensions a and c. He takes 4 hours to paint a wall with dimensions b and c and 12 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 12, then what is the volume of the room?
Choices:
224 cubic meters
230 cubic meters
288 cubic meters
It can’t be determined.
Answer: C
Question: The time it took car P to travel 150 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?
Choices:
23
60
70
80
Answer: A
Question: What sum of money will produce Rs.70 as simple interest in 3 years at 3 1/2 percent?
Choices:
667
266
288
211
Answer: A
Question: In a group of 100 adults, 80 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
Choices:
52
54
60
40
Answer: D
Question: For what values of k will the pair of equations (3x + 4y)/2 = 6 and kx + 12y = 30 does not have a unique solution?
Choices:
9
3
7.5
2.5
Answer: A
Question: A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6p.a for 2 years. Find his gain in the transaction per year.
Choices:
Rs. 112.50
Rs. 150
Rs. 167.50
Rs. 175
Answer: A
Question: After successive discounts of 20%, 10% and 5% a certain good is sold for Rs. 6600. Find the actual price of the good.
Choices:
s. 9000
s. 10800
s. 9649
s. 9980
Answer: C
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
12
88
99
27
Answer: A
Question: A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
Choices:
16,000 square meters
20,000 square meters
32,000 square meters
45,000 square meters
Answer: B
Question: Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 5,000 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 1000 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Eddy pass each other on her return trip?
Choices:
12.0
13.0
14.0
15.0
Answer: A
Question: Two cars, Car1 and Car2 move towards each other from R and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach R starting from Y?
Choices:
8.4 sec
33.6 sec
31.11 sec
16.8 sec
Answer: C
Question: An aeroplane covers a certain distance at a speed of 100 kmph in 2 hours. To cover the same distance in 1 hours, it must travel at a speed of?
Choices:
150km/hr
200km/hr
250km/hr
300km/hr
Answer: B
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
29
23
12
13
Answer: C
Question: A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 12 seconds. What is the length of the train in meters?
Choices:
120 meters
1777 meters
60 meters
None of these
Answer: A
Question: A can have a piece of work done in 4 days, B can work two times faster than the A, C can work three times faster than A. How many days will they take to do the work together ?
Choices:
6/7 days
1/4 days
can't say
none
Answer: A
Question: A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 2 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
Choices:
4
18/19
9
12
Answer: B
Question: Last year, Company M made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Choices:
q/5
q/6
q/7
q/8
Answer: B
Question: Barbata invests $2600 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choices:
3000
1300
3600
2400
Answer: B
Question: An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth
Choices:
500
887
299
132
Answer: A
Question: The slant height of a cone is 10 cm and radius of the base is 5cm, find the curved surface of the cone?
Choices:
155
158
157
190
Answer: C
Question: If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $76, how much does one shirt cost?
Choices:
$12
$13.20
$15
$18
Answer: D
Question: In a certain company, the ratio of male to female employees is 7:8. If 3 more men were hired, this ratio would increase to 8:9. How many male employees are there in the company?
Choices:
21
27
189
192
Answer: C
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 150 m in length?
Choices:
sec
sec
sec
sec
Answer: C
Question: If r + | r | = 0, which of the following must be true?
Choices:
r≥0
r < 0
r≤0
r = 0
Answer: C
Question: In the city of San Durango, 90 people own cats, dogs, or rabbits. If 60 people owned cats, 20 owned dogs, 40 owned rabbits, and 18 owned exactly two of the three types of pet, how many people owned all three?
Choices:
3
6
11
12
Answer: B
Question: For any number s, s* is defined as the greatest positive even integer less than or equal to s. What is the value of 5.2 – 5.2*?
Choices:
1.2
1.8
2.2
4.0
Answer: A
Question: If the volume of two cubes are in the ratio 8:1, the ratio of their edges is:
Choices:
2:1
3:5
3:7
None of these
Answer: A
Question: Solve the quickfire maths brain teaser âˆš25% = ?
Choices:
40%
50%
19%
29%
Answer: B
Question: The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
Choices:
90%
80%
50%
54%
Answer: C
Question: 3 candidates in an election and received 1000, 2000 and 4000 votes respectively. What % of the total votes did the winning candidate got in that election?
Choices:
50%
57.14%
60%
65.12%
Answer: B
Question: 1/(3-2√2)=?
Choices:
9-4√5
3+2√2
9-2√5
4+9√5
Answer: B
Question: I flew my tiny seaplane to visit my mother. On the flight up, I flew at 110 mph. On the way home, I flew 72 mph. What was my average speed for the trip?
Choices:
91 mph
88 mph
100 mph
99 mph
Answer: A
Question: A retailer buys a radio for Rs 225. His overhead expenses are Rs 20. He sellis the radio for Rs 300. The profit percent of the retailer is
Choices:
22.4%
25%
52%
None of these
Answer: A
Question: John invested Rs. 3500 in a scheme for 3 years at compound interest rate 4% p.a. How much amount will John get on maturity of the fixed deposit?
Choices:
s.3578
s.3258
s.3990
s.3937.02
Answer: D
Question: Martins made a part payment of $650 toward buying a brand new washing machine, which represents 15% of the total cost of the washing machine, how much remains to be paid?
Choices:
$3583.3
$3283.3
$3683.3
$2683.3
Answer: C
Question: In a particular 100 meter race, 7 athletes are participating that are numbered 1-7. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?
Choices:
1860
2520
3220
4180
Answer: B
Question: A zinc-copper alloy with 6 kg of pure zinc would contain 90% of zinc. The alloy with 4 kg of 90% zinc alloy contains 84% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.
Choices:
4.8 kg or 80%
3.4 kg or 60%
7.4 kg or 18%
1.4 kg or 60%
Answer: A
Question: The average (arithmetic mean) of 14, 32, and 53 is 3 more than the average of 21, 47, and x. What is x?
Choices:
21
22
23
24
Answer: B
Question: A teacher gave the same test to three history classes: D, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Choices:
75
76
77
78
Answer: A
Question: The total of the ages of Amar, Akbar and Anthony is 40 years. What was the total of their ages two years ago ?
Choices:
44
36
16
18
Answer: B
Question: Ram and Shakil run a race of 2000m. First Ram gives Shakil a start of 200m and beats him by 1 minute.Next Ram gives shakil a start of 6 min and is beaten by 1000 meters . Find the time in minutes in which Ram and Shakil can run the race seperately.
Choices:
8 , 10
18 , 20
20 , 25
None of these
Answer: A
Question: The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 36∘, the temperature of Friday was :
Choices:
44∘
38∘
30∘
None of these
Answer: A
Question: If 25% of x is 15 less than 15% of 1600, then x is?
Choices:
738
900
840
83
Answer: B
Question: Three models (K, L, and M) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model K, 17 cars of Model L, and 15 cars of Model M. What is the maximum number of cars of model K in any showroom ?
Choices:
16
15
14
13
Answer: B
Question: If x and y are integers, and x/y is not an integer then which of the following must be true?
Choices:
x is odd and y is odd.
x is even and y is odd
x<y
None of the above
Answer: D
Question: Complete the sequence:
B D H N ?
Choices:
V
S
D
Z
Answer: A
Question: The circulation for magazine P in 1961 was 4 times the average (arithmetic mean) yearly circulation for magazine P for the years 1962-1970. What is the ratio of the circulation in 1961 to the total circulation during 1961-1970 for magazine P ?
Choices:
2/7
3/7
4/7
1/7
Answer: A
Question: Find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm.
Choices:
120 sq.cm
130 sq.cm
125 sq.cm
110 sq.cm
Answer: A
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
9
9/5
1/5
9/20
Answer: D
Question: In a certain town, there are two times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is
Choices:
2 to 3
1 to 2
3 to 4
4 to 5
Answer: A
Question: There are 4 people and 4 chairs. In how many different ways people can occupy the chairs?
Choices:
15
24
36
120
Answer: B
Question: In the xy-coordinate system, line k passes through points (-7m, 0) and (0, 3m). Which of the following is a possible equation of line k?
Choices:
y = 3/7*x - 7m
y = 7/3*x + 3m
y = 3/7*x + 3m
y = -3/7*x - 7m
Answer: C
Question: Ayesha's father was 34 years of age when she was born while her mother was 30 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
8
5
1
2
Answer: A
Question: A coin is flipped twice.What is the probability that both flips result in heads given that first flip does?
Choices:
1/2
1
3/2
1/3
Answer: A
Question: A shopkeeper sold an book offering a discount of 5% and earned a profit of 33%. What would have been the percentage of profit earned if no discount was offered?
Choices:
140
130
110
150
Answer: A
Question: A number exceeds by 15 from its 3/8 part. Then the number is?
Choices:
B)24
C)39
D)40
E)45
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 14 sec. What is the length of the platform?
Choices:
350 m
267 m
535.71 m
656 m
Answer: C
Question: Circles X and Y are concentric. If the radius of circle X is six times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?
Choices:
Pi/3
Pi/2
35/36
8/9
Answer: C
Question: From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 35 percent. What percent of the stockâ€™s 2007 starting price was the price of the stock at the end of 2009?
Choices:
90
95
121.5
108
Answer: C
Question: How many Kg of rice at Rs.6.60 per Kg. be mixed with 56Kg of rice at Rs.9.60 per Kg to get a mixture
worth Rs.8.20 per Kg
Choices:
52 Kg
44 Kg
49 Kg
None of these
Answer: C
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
17/29
17/98
17/20
17/27
Answer: C
Question: A one-foot stick is marked in 1/2 and 1/4 portion. How many total markings will there be, including the end points?
Choices:
4
5
6
7
Answer: B
Question: Find a two digit number, given that the sum of the digits is 13 and the difference of the digits is 5.?
Choices:
82
95
76
94
Answer: D
Question: john bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that john paid, including sales tax?
Choices:
4%
7%
D.10%
12%
Answer: A
Question: In how many ways can 5 boys and 2girls be arranged ata table if 2 girls are never together?
Choices:
256
345
367
480
Answer: D
Question: When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in h hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of h?
Choices:
1[1/5]
1[2/5]
1[3/4]
2
Answer: A
Question: The L.C.M. of 2 numbers is 54. The numbers are in the ratio 2:3. Find their sum?
Choices:
40
45
32
56
Answer: B
Question: Set A contains all the even numbers between 22 and 70 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
800
1000
1200
1400
Answer: B
Question: Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 74% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 58% problems right. How many more questions he would have to answer more to get
passed
Choices:
3
7
8
9
Answer: A
Question: If Jake loses 5 pounds, he will weigh thrice as much as his sister. Together they now weigh 285 pounds. What is Jake's present weight, in pounds?
Choices:
135
139
147
215
Answer: D
Question: A and B started a business with their capitals Rs. 24,000 and 36,000 respectively. Annual profit will be distributed between them in the ratio
Choices:
2:3
4:3
2:1
2:5
Answer: A
Question: Which of the following numbers is between 1⁄2 and 1⁄3?
Choices:
.38
.29
.22
.20
Answer: A
Question: How much time does a train 125 metres long running at 60 km/hr take to pass a pole?
Choices:
2.08s
7.5s
8s
9s
Answer: B
Question: What is the smallest number which, when increased by 7, is divisible by 7, 8, and 24?
Choices:
161
168
175
182
Answer: A
Question: In how many ways can a group of 2 men and 2 women be made out of a total of 7 men and 5 women?
Choices:
270
230
210
280
Answer: C
Question: Two cars start from the opposite places of a main road, 140 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
Choices:
38
20
55
21
Answer: C
Question: Find the compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
Choices:
Rs. 612
Rs. 614
Rs. 616
None of these
Answer: A
Question: A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
Choices:
1/35
1/37
2/35
3/37
Answer: A
Question: An increase of Rs 3 in the selling price of an article turn a loss of 15/2% into a gain of 15/2%.The cost price of the article is??
Choices:
20 rs
25 rs
30 rs
40 rs
Answer: A
Question: A and B complete a work in 6 days. A alone can do it in 8 days. If both together can do the work in how many days?
Choices:
3.43 days
2.99 days
2.98 days
2.44 days
Answer: A
Question: The addition 742586 + 829430 = 1212016 is incorrect. It can be corrected by changing
one digit d, wherever it occurs, to another digit e. Find sum of d and e.
Choices:
1416016
1516016
1616016
1716016
Answer: C
Question: If a(a + 7) = 18 and b(b + 7) = 18, where a ≠ b, then a + b =
Choices:
−5
2
-7
48
Answer: C
Question: How long will it take for a sum of money to grow from Rs.1000 to Rs.5,000, if it is invested at 20% p.a simple interest?
Choices:
20 years
72 years
56 years
None
Answer: A
Question: 45 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Choices:
77
30
25
13
Answer: B
Question: The greatest number which on dividing 1642 and 1856 leaves remainders 6 and 4 respectively, is:
Choices:
127
235
4
505
Answer: C
Question: Indu gave Bindu Rs.7500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
9
5
12
Answer: D
Question: A store sells brand X pens for 5 dollars each, brand Y pens for $4 each and brand Z pens for $3 each. There are a total of 36 of these three types of pens in the store, the number of brand X pens is twice sum of the number of brand Y pens and brand Z pens, and the difference of the number of brand Y pens and the number of brand Z pens is 2. What is the largest possible total amount that three types of pens will be sold for?
Choices:
$163
$156
$148
$125
Answer: A
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
33 1/6%
33 1/3%
33 1/4%
33 5/3%
Answer: B
Question: Working at their respective constant rates, machine A makes 100 copies in 8 minutes and machine B makes 150 copies in 10 minutes. If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
Choices:
425
675
825
750
Answer: C
Question: a,b and c are three sides of a right angled triangle . a,b and c are all integers . Area of the triangle is T1. From all three sides a,b and c , we draw a square having areas as S1, S2 and S3 . Now, Total area ( T1+S1+S2+S3) is :
Choices:
may be even or odd
odd only
even only
None of these
Answer: C
Question: How much space, in cubic units, is left vacant when maximum number of 3x3x3 cubes are fitted in a rectangular box measuring 6x9x11 ?
Choices:
111
110
109
108
Answer: D
Question: A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 5 times?
Choices:
3/4
7/8
57/64
15/16
Answer: B
Question: Find the value of m from given 72519 x 9999 = m?
Choices:
565476563
567642887
725117481
658899003
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 12%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
25.44
27.5
28.54
27
Answer: A
Question: John was thrice as old as Tom 6 years ago. John will be 2 times as old as Tom in 4 years. How old is Tom today?
Choices:
14
16
18
20
Answer: B
Question: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
776 m
400 m
187 m
1678 m
Answer: B
Question: there are sixty markings on a clock, minutes hand was exactly on one of those markings. nine markings away from the minutes hand was hours hand. what could be the time.
Choices:
6:20
7:48
3:09
3:19
Answer: B
Question: The total cost of 100 paper plates and 200 paper cups is $8.00 At the same rates what is the total cost of 20 of the plates and 40 of the cups?
Choices:
$1.00
$1.20
$1.50
$1.60
Answer: D
Question: In a certain city, 60 percent of the households have cable television, and 50 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:
Choices:
15,000 to 75,000 inclusive
30,000 to 75,000 inclusive
60,000 to 90,000 inclusive
75,000 to 120,000 inclusive
Answer: A
Question: Rohit paid $4,000 for 100 shares of stock X and $2,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/5 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:
Choices:
A Gain of 3 times as much
A Gain of 2 times as much
A Gain of 1.5 times as much
A Loss of 2 times as much
Answer: B
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
2 hours
8 hours
9 hours
3 hours
Answer: A
Question: Of the 60 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
Choices:
18
20
25
30
Answer: A
Question: Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?
Choices:
(k – m) %
[100(k – m)] / (100 + k) %
[100(k – m)] / (100 + m) %
[100(k – m)] / (100 + k + m) %
Answer: C
Question: Line m lies in the xy-plane. The y-intercept of line m is -5, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?
Choices:
-3
-1/3
0
Undefined
Answer: A
Question: How many different subsets of the set {11, 14, 17, 24} are there that contain an odd number of elements?
Choices:
6
10
8
12
Answer: C
Question: You need to print a document of the area 216 sq cm. Condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides. What is the optimized size of your paper?
Choices:
70sq.cm
95sq.cm
80sq.cm
90sq.cm
Answer: D
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
Choices:
42%
32%
12%
22%
Answer: C
Question: Tom had 63 apples. He divides all apples evenly among 9 friends. How many apples did Tom give to each of his friends?
Choices:
2
18
7
8
Answer: C
Question: A cricket bat is sold for $850, making a profit of $230. The profit percentage would be
Choices:
25%
30%
37%
40%
Answer: C
Question: You play the following game with a friend. You share a pile of chips, and you take turns
removing between one and four chips from the pile. (In particular, at least one chip must be
removed on each turn.) The game ends when the last chip is removed from the pile; the one
who removes it is the loser.
It is your turn, and there are 2014 chips in the pile. How many chips should you remove to
guarantee that you win, assuming you then make the best moves until the game is over?
Choices:
2
3
4
there is no way to guarantee a win, even with the best play
Answer: B
Question: 36 men can complete a piece of work in 18 days. In how many days will 108 men complete the same work ?
Choices:
77
6
29
21
Answer: B
Question: A bag contains one rupee, 50 paisa and 10 paisa coins in the ratio of 3:2:1. How many 50 paisa coins are there, if the total number of money in the bag is Rs 820?
Choices:
400 coins
100 coins
4100 coins
4200 coins
Answer: A
Question: It was a beautiful sunny morning. The air was fresh and a mild wind was blowing against my wind screen. I was driving from Bangalore to Brindavan Gardens. It took me 1 hour and 30 minutes to complete the journey.
After lunch I returned to Bangalore. I drove for 90 rhinutes. How do you explain it ?
Choices:
60 min
90 min
80 min
88 min
Answer: B
Question: How many positive 5-digit integers have the odd sum R of their digits?
Choices:
9*10^3
10^4
45*10^3
9*10^4
Answer: C
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Choices:
Rs. 2400
Rs. 4800
Cannot be determined
None of these
Answer: A
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Choices:
1200
1349
1400
1450
Answer: B
Question: Two cars are driving toward each other. The first car is traveling at a speed of 75 km/h, which is 25% slower than the second car's speed. If the distance between the cars is 1050 km, how many hours will it take until the two cars meet?
Choices:
4.5
5
5.5
6
Answer: D
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
2689
2678
4530
3780
Answer: C
Question: Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 10 minutes?
Choices:
50
60
40
30
Answer: A
Question: After 6 games, team B had an average of 65 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?
Choices:
74
67
63
28
Answer: C
Question: There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Choices:
39
51
58
63
Answer: A
Question: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had
Choices:
600 apples
672 apples
700 apples
None
Answer: C
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:
12.6
12.4
12.5
12.1
Answer: C
Question: What is the probability that when a hand of 6 cards is drawn from a well shuffled deck of 52 cards, It contains 2 Queen?
Choices:
113/22434
29187/1017926
1017926/29187
None of these
Answer: B
Question: In the following sequence of alphabets, if the second half is reversed, which letter would be the fifth to the right of the letter which is twelveth from the left ?
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Choices:
W
T
G
K
Answer: A
Question: If the price of a certain computer increased 30 percent from d dollars to 364 dollars, then 2d =
Choices:
570
619
649
560
Answer: D
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.36000 after completion of one year. What will be Jose's share of profit?
Choices:
20000
25000
34000
30000
Answer: A
Question: There were two candidates in an election. Winner candidate received 60% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Choices:
864
299
257
125
Answer: A
Question: The sum of two numbers is 50 and their product is 375. What will be the sum of their reciprocals?
Choices:
8/75
2/15
75/8
75/6
Answer: B
Question: A couple has two children, one of whom is a girl. If the probability of having a girl or a boy is 50%, what is the probability that the couple has two daughters?
Choices:
1/4
1/3
1/2
2/3
Answer: B
Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.18 per cubic meter?
Choices:
2799
1782
1485
2780
Answer: B
Question: A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man standing still. Find the length of the train and that of the platform.
Choices:
83.3m41.7m
50.8m45.7m
100/3 m200/3
none of these
Answer: A
Question: A no. when divided by 35leaves a remainder 20, what is the remainder if the same no.be divided by 15?
Choices:
4
7
8
9
Answer: A
Question: x ÷ 4 × 5 + 10 – 12 = 48, then x =
Choices:
40
100
28
50
Answer: A
Question: How many of the integers between 25 and 45 are even ?
Choices:
20
11
10
9
Answer: C
Question: How many numbers from 10 to 1000000 are exactly divisible by 9?
Choices:
8000
1100
111110
14
Answer: C
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
46 Years
49 Years
52 Years
54 Years
Answer: B
Question: The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?
Choices:
39
82
Can’t say
None of these
Answer: D
Question: n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 5000m race?
Choices:
400
500
600
750
Answer: D
Question: A certain high school has 500 students. Of these students, 30 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
Choices:
440
450
460
470
Answer: C
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. Find out the number of days for which the remaining food will last
Choices:
42
40
38
36
Answer: A
Question: If 100,000 microns = 1 decimeter, and 1,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
0.0001
0.001
10
100,000
Answer: C
Question: After giving a discount of rs.100the shopkeeper still gets a profit of 30%,if the cost price is rs.1000.find the markup %?
Choices:
.45
.40
.48
.52
Answer: B
Question: The calendar of the year 2024 can be used again in the year?
Choices:
2052
2778
2719
1711
Answer: A
Question: The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+20, what is the perimeter of the garden in feet?
Choices:
36
40
44
48
Answer: B
Question: The average of 65 numbers is 40. If two numbers, 50 and 60 are discarded, then the average of the remaining numbers is nearly
Choices:
39.52
38.78
29
30
Answer: A
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
87 km
89 km
67 km
20 km
Answer: D
Question: A football field is 9600 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 5600 square yards?
Choices:
600
700
2400
3200
Answer: B
Question: When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $85.50, what was the total value of the item?
Choices:
$1,350
$1,550
$1,750
$1,950
Answer: D
Question: There are 7000 people in the particular village , among them 30% are educated and out of these 28% are doing agriculture and out of them 50% are woman's. Then find out the number of woman's who are educated and doing agriculture?
Choices:
294
350
288
580
Answer: A
Question: What sum of money will produce Rs.80 as simple interest in 2 years at 16 percent?
Choices:
250
300
350
200
Answer: A
Question: In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 3 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
8
10
11
12
Answer: A
Question: The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 15 percent, what was the annual interest rate last year?
Choices:
1.1%
9.1%
10%
13.63%
Answer: D
Question: In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
14
16
17
Answer: A
Question: A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 5 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?
Choices:
10
12
14
16
Answer: D
Question: Which one of the following numbers is exactly divisible by 11?
Choices:
11
14
15
16
Answer: A
Question: P and Q started a business investing Rs. 54,000 and Rs. 36,000 respectively. Out of a total profit of Rs. 18,000, Q's share is :
Choices:
5990
6000
6010
6020
Answer: B
Question: A train 250 m long running at 72 kmph crosses a platform in 50 sec. What is the length of the platform?
Choices:
200m
250m
750m
300 m
Answer: C
Question: The average salary/head of all the workers in a workshop is Rs.1100, if the average salary/head of 9 technician is Rs.1300 and the average salary/head of the rest is Rs.880, the total no. of workers in the work-shop is ?
Choices:
20
22
17
26
Answer: C
Question: The perimeter of a square is equal to the perimeter of a rectangle of length 15 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
22.78
24.5
25.55
23.51
Answer: A
Question: In a consumer survey, 75% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
10
15
20
25
Answer: C
Question: Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much W does she have in her account after two years?
Choices:
W=$10815.83
$12652.61
$14232.14
$20598.11
Answer: A
Question: A man can row upstream at 15 kmph and down strem 30 kmph. He takes 9 hours to row from lower point A to upper point B and back to A. What is the total distance traveled by him in 9 hours? He must return back to base point A in remaining time.
Choices:
120
140
180
200
Answer: C
Question: The calender for the year 2007 will be the same for the year :
Choices:
2016
2017
2018
None of these
Answer: C
Question: Calculate the circumference of a circular field whose radius is 6 centimeters.
Choices:
12
6
8
10
Answer: A
Question: How many real roots does the equation x^4y+16xy+64y=0 have if y < 0?
Choices:
1
2
3
Infinite
Answer: C
Question: If the price of gasoline increases by 20% and a driver intends to spend only 8% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
Choices:
5%
6%
8%
10%
Answer: D
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Choices:
57.8 m2
52.8 metre sq
72.8 m2
52.8 m2
Answer: B
Question: Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?
Choices:
40%
60%
65%
Cannot be determined
Answer: B
Question: How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 40%?
Choices:
7 years
8 years
9 years
None
Answer: B
Question: Aman started a business investing Rs. 70,000. 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:
12:15:16
13:15:16
12:35:16
12:15:18
Answer: A
Question: In the first 20 overs of a cricket game, the run rate was only 4.2. What should be the rate in the remaining 30 overs to reach the target of 250 runs?
Choices:
6.28
6.11
5.53
6.21
Answer: C
Question: Today is Sunday. After 65 days, it will be:
Choices:
Tuesday
Friday
Thursday
Wednesday
Answer: A
Question: If n = 6p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: D
Question: Calculate the distance covered by 150 revolutions of a wheel of radius 20.5 cm.
Choices:
197.3 m
193.3 m
143.3 m
198.3 m
Answer: B
Question: Given f(x) = 3x – 5, for what value of x does 2*[f(x)] + 8 = f(3x – 6)
Choices:
4
6
7
13
Answer: C
Question: In a renowned city, the average birth rate is 9 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.
Choices:
172,800
468,830
338,200
259,200
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 950 grams per kg, what is his percent?
Choices:
25%
5.26%
29%
45%
Answer: B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
480
888
266
281
Answer: A
Question: In how many ways can the letters of word INTELLIGENT be arranged such that all the vowels as well as all the Consonants always appear together?
Choices:
5!*4!
5!*5!
5!*4!*2!
4!*7!*2!
Answer: D
Question: What is the least possible value of expression E = (x-1)(x-3)(x-4)(x-6)+10 for real values of x?
Choices:
1
9
0
8
Answer: A
Question: There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 805. How many houses are there?
Choices:
111
101
121
131
Answer: D
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:
99
12
88
77
Answer: B
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
786 m
272 m
100 m
127 m
Answer: C
Question: A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ?
Choices:
1:2
1:1
3:2
5:3
Answer: A
Question: Find the area of a parallelogram with base 36 cm and height 24 cm?
Choices:
284
288
864
820
Answer: C
Question: Shreehari has 500 chocolates in his self. He eats 10% of the chocolates per month. How many chocolates will he have after 2 months?
Choices:
400
405
410
425
Answer: B
Question: A, B and C started a business with capitals of Rs.6000, Rs.8000, and Rs.10000 respectively. At the end of the year, the profit share of B is Rs1000. The difference between the profit shares of A and C is
Choices:
Rs. 450
Rs. 500
Rs. 550
Rs. 650
Answer: B
Question: A shopkeeper labeled the price of his articles so as to earn a profit of 20% on the cost price. He then sold the articles by offering a discount of 5% on the labeled price. What is the actual percent profit earned in the deal?
Choices:
24%
17%
18%
None of these
Answer: A
Question: A set consist of 2l-1 element. What is the number of subsets of this set which contain at most l-1 elements?
Choices:
2^(2l-2)
2^(2l) -1
2^(2l)
2^(2l-1)
Answer: A
Question: During the months May through October, Teddy the bear quintuples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?
Choices:
25m - 1300
5m - 1300
5m - 1200
5m
Answer: A
Question: If X and Y are positive integers, X - 5 is divisible by 4 and Y - 1 is divisible by 4, all of the following could be the value of X - Y Except?
Choices:
8
4
7
24
Answer: C
Question: A committee of three people is to be chosen from 7 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
39
26
30
49
Answer: D
Question: The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?
Choices:
$15,594.
$14,786.
$14,543.
$12,988.
Answer: A
Question: Each of seven different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Choices:
1/6
1/49
3/8
1/2
Answer: B
Question: Which of the following options represents an approximate value for the question mark (?) in the following equation?
87.542 + 62.511 × 3.2 + ? = 805.925
Choices:
918.4
911.4
988.4
958.4
Answer: A
Question: Which of these must the factor Q of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
Choices:
Q=2,3 only
Q=1,2,3 only
Q=1,2,3,4 only
All of them
Answer: C
Question: A five-year promissory note with a face value of $3500, bearing interest at 11% compounded semiannually, was sold 21 months after its issue date to yield the buyer 10% compounded quarterly.What amount was paid for the note
Choices:
$4336.93
4336.96
4336.92
4336.91
Answer: A
Question: What is the height of a circular cone?
I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.
II. The area of the base of that cone is 154 sq. cm.
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: C
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
20/61
20/66
20/63
Answer: A