antoine-444/aqua_rat_dataset huggingface dataset:
Question: The 540 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Choices:
4
30
60
90
Answer: A
Question: If Josh, Doug, and Brad have a total of $68 between them, and Josh has two times as much money as Brad but only three-fourths as much as Doug, how much money does Doug have?
Choices:
$9
$27
$32
$36
Answer: C
Question: A rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 96 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
Choices:
a 64
c 27
d 40
e 50
Answer: A
Question: A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Choices:
297
648
267
108
Answer: B
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6 sec
7 sec
10 sec
12 sec
Answer: A
Question: In a partnership between A, B and C. A's capital is Rs.8000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
12798
26908
11750
18800
Answer: D
Question: If two sides of a triangle are 6 and 10, respectively, which of the following could NOT be the area of this triangle?
Choices:
6
17
38
29
Answer: C
Question: What is the area of a triangle with the following vertices L(2, 3), M(5, 1), and N(3, 5) ?
Choices:
4
5
6
7
Answer: A
Question: The C.P of 17 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/8%
5 5/9%
16 2/1%
16 1/3%
Answer: B
Question: 18 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
22
88
100
281
Answer: A
Question: Oranges are purchased for $15/bag at the Farmer's Market. A bag weighs 3 lbs. The oranges are peeled and the seeds removed (removing 1/6 of the weight). Then, these oranges are crushed and used for making marmalade. It takes 1 lb of oranges to make 3 cups of crushed oranges. If 4 cups of crushed oranges can make one jar of marmalade, how much money is needed to buy oranges to make x number of jars of marmalade, in dollars?
Choices:
4x
8x
2x
3x/2
Answer: B
Question: If two numbers are in the ratio 2:3 and the numerator and denominator are added and subtracted by1 and 2 respectively, then the ratio becomes 6:2, then find the biggest number?
Choices:
5
3
4
6
Answer: B
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?
Choices:
11 sec
88 sec
19 sec
44 sec
Answer: D
Question: The president of a country and 6 other dignitaries are scheduled to sit in a row on the 7 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 5 people?
Choices:
720
20
24
120
Answer: A
Question: A man swims downstream 45 km and upstream 25 km taking 5 hours each time, what is the speed of the man in still water?
Choices:
24
7
24
20
Answer: B
Question: A person completes half distance of marathon in 20 min including 7 minutes of break time.He runs at 5m/s. Then what is total distance covered if he runs at constant speed and takes only one break in entire marathon.
Choices:
7.8km
9km
6.1km
7km
Answer: A
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?
Choices:
266
129
300
276
Answer: C
Question: A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Choices:
245 m
235 m
220 m
240 m
Answer: A
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and B leaves after 2 days and C leaves after 4 days from the beginning. How long will work lost?
Choices:
5 2/3
6 2/3
4 2/3
7 2/3
Answer: B
Question: If 4XZ + YW = 5 and XW + YZ = 10, what is the value of the expression (2X + Y)(2Z + W)?
Choices:
12.
15.
16.
25
Answer: D
Question: It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number Q?
Choices:
a. 2^96 + 1
c. 2^16 + 1
d. 7 * 2^33
e. 2^64 + 1
Answer: A
Question: To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 765 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?
Choices:
192
193
212
213
Answer: A
Question: If a is a positive integer then 2^(2a) + (16^a)/(2^(2a)) =
Choices:
8^a
10^a
2/4^a
2 × 4^a
Answer: D
Question: A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 km/h and the rest at 5km/h. The total distance is
Choices:
6km
7km
8km
9km
Answer: A
Question: A certain quantity is measured on two different scales, the A-scale and the S-scale, that are related linearly. Measurements on the A-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the A-scale corresponds to a measurement of 100 on the S-scale?
Choices:
36
48
60
84
Answer: B
Question: Find the compound interest on $10000 in 2years at 4% per annum, the interest being compounded half-yearly?
Choices:
$824.32
$954.26
$745.69
$1020.45
Answer: A
Question: The speed at which a woman can row a boat in still water is 30 kmph. If he rows downstream, where the speed of current is 6 kmph, what time will he take to cover 100 metres?
Choices:
9
10
11
12
Answer: B
Question: In the faculty of Reverse-Engineering, 250 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
Choices:
545.
618.
674.
666.
Answer: C
Question: 8597-?=7429-4358
Choices:
5706
5526
5476
None of them
Answer: B
Question: On dividing a number by 7, we get 5 as quotient and 0 as remainder. On dividing the same number by 11, what will be the remainder?
Choices:
2
8
1
3
Answer: A
Question: An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many R ways can the assembly line be arranged?
Choices:
240
360
480
720
Answer: B
Question: The average age of a group of persons going for picnic is years. Sixteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
Choices:
10
16
45
52
Answer: B
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 8 ounces of corn syrup, how many ounces of water does it contain?
Choices:
50
55
60
120
Answer: D
Question: P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Choices:
2/13
8/15
7/15
5/13
Answer: B
Question: If the height of a right cone C is 3 and the diameter of the base of C is 8, what is the distance from the apex of C to any point on the circumference of the base of C?
Choices:
5
5√2
√(67)
√(73)
Answer: A
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Choices:
4 hrs 24 min
4 hrs 26 min
4 hrs 04 min
4 hrs 22 min
Answer: A
Question: What is 25% of 25% equal to
Choices:
0.0625
6.25
0.00625
None
Answer: C
Question: There are six cards in which it has two king cards. all cards are turned down and two cards are opened :
a) what is the possibility to get at least one king.
b) what is the possibility to get two kings.
Choices:
a = 3/5 , b = 1/15
a = 2/15 , b = 4/5
a = 6/15 , b = 3/5
a = 6/15 , b = 7/5
Answer: A
Question: A and B start a business, with A investing the total capital of Rs.10000, 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.1000 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:
B)37000
C)48000
D)59000
E)67000
Answer: A
Question: The diagonals of a rhombus are 20 cm and 25 cm. Find its area?
Choices:
129
250
123
117
Answer: B
Question: What missing numberin the Sequence 5 15 5 18 5 ? 14 20 5
Choices:
76
12
55
24
Answer: D
Question: A trader lists his articles at 30% above cost price and allows a discount of 10% on cash payment. Find his gain percentage
Choices:
100% Gain
17% Profit
17% Loss
None of these
Answer: B
Question: "A dress is marked up by 16 2/3% to make the final price of $ 140"?
Choices:
130
120
160
150
Answer: B
Question: On a certain Monday, Carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 40 miles per hour. Which of the following is closest to his average speed for both trips combined?
Choices:
44.44
42
46
48
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 9 minutes, then the area of the park (in sq. m) is
Choices:
153400
153600
194400
154200
Answer: C
Question: Find the smallest number which when divided by 13 and 17 leaves respective remainders of 3 and 7.
Choices:
211
207
219
227
Answer: A
Question: If x^2 – 13x + 40 = q, and x is a positive integer between 1 and 10, inclusive, what is the probability that q < 0?
Choices:
1/5
2/5
3/5
3/10
Answer: A
Question: Without stoppages a train travels a certain distance with an average speed of 180 kmph and with stoppages it covers the same distance with an average speed of 90 kmph. What is the time in minutes per hour for which train stops?
Choices:
20 min/hr
25 min/hr
30 min/hr
35 min/hr
Answer: C
Question: Find large number from below question The difference of two numbers is 1370. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1455
1577
1641
Answer: D
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
782
278
270
881
Answer: C
Question: five friends A, B,C,D and E decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share 2 time, no apples were left.How many apples were there?
Choices:
1023
1026
1029
1020
Answer: A
Question: The combined salaries of three brothers is $225,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
Choices:
55,000
50,000
30,000
40,000
Answer: B
Question: A car going at 30 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
Choices:
50
53
55
60
Answer: D
Question: At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 30 of which were white and 5 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
Choices:
25%
50%
75%
80%
Answer: D
Question: Find the area of trapezium whose parallel sides are 28 cm and 20 cm long, and the distance between them is 21 cm?
Choices:
277 cm2
504 cm2
510 cm2
287 cm2
Answer: B
Question: A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%?
Choices:
Rs 25300
Rs 24300
Rs 21300
None of these
Answer: A
Question: In how many years will a sum of money doubles itself at 18% per annum on simple interest?
Choices:
5.5%
6%
6.4%
7.5%
Answer: A
Question: If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.
Choices:
45°
60°
90°
None of these
Answer: B
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
268
375
166
131
Answer: B
Question: For any positive x, y and z if x is n% of y and z is m% of y then what percentage must x be of z?
Choices:
(m × n)%
(100 / [m × n]) %
(100 × m/n)%
(100 × n/m)%
Answer: D
Question: Three people are to be seated on a bench. How many different sitting arrangements are possible if Erik must sit next to Joe?
Choices:
4.
6.
8.
10.
Answer: A
Question: What will be the output of the following code statements?
Integer a = 25, b = 40, c = 10 print (a × b / c) – c
Choices:
26
29
26
90
Answer: D
Question: Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 40hr. If all pipes are opened simultaneously, then the cistern will be filled in
Choices:
6.32 hr
8.5 hr
10 hr
None of these
Answer: A
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 5:4. What is the ratio of luxury cars to sport utility vehicles?
Choices:
8:9
3:2
10:12
1:2
Answer: C
Question: The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 70 black cars in the lot, how many red cars are there in the lot?
Choices:
26
24
27
32
Answer: A
Question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
140 sec
176 sec
150 sec
170 sec
Answer: A
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Choices:
12
14
18
22
Answer: A
Question: BIRLA company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks?
Choices:
64
256
576
4096
Answer: B
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1450
1567
1635
Answer: D
Question: The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > x or x > 0?
Choices:
7/8
3/8
1/2
3/4
Answer: A
Question: 11 is subtracted from 40% of a number and results is 23. What is the number?
Choices:
92
88
85
34
Answer: C
Question: 22
a2
+ 3b
____
80
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b ?
Choices:
7
9
11
14
Answer: D
Question: The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Choices:
26
27
29
30
Answer: B
Question: 20.05 + 35.603- …… =43.087
Choices:
12.566
15.426
13.286
14.286
Answer: A
Question: Four people need to cross a dark river at night.
* They have only one torch and the river is too risky to cross without the torch.
* If all people cross simultaneously then torch light wont be sufficient.
* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes.
What is the shortest time needed for all four of them to cross the river ?
Choices:
17 minutes
19 minutes
20 minutes
21 minutes
Answer: A
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
42
74
36
55
Answer: A
Question: A sum of Rs.5000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
3120
2877
2999
3250
Answer: D
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 30%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
60% decrease
40% decrease
40% increase
50% increase
Answer: A
Question: In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 5 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Choices:
80.
56.
48.
64.
Answer: D
Question: For a,e,d are the positive integers, and d|a means that “a is divisible by d”, if d|ae, which of the following must be true?
Choices:
d|e
d|2ae
d|(a+e)
d|(a-e)
Answer: B
Question: The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8600 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.6298
Rs.6290
Rs.7166
Rs.7708
Answer: C
Question: How many two-digit numbers yield a remainder of 2 when divided by both 5 and 16?
Choices:
1
2
3
4
Answer: A
Question: A committee has 5 men and 6 boys. What are the number of ways of selecting 2 men and 3 boys from the given committee?
Choices:
B)178
C)180
D)200
E)210
Answer: C
Question: Two taps A and B can fill a cistern in 12 minutes and 18 minutes respectively. They are turned on at the same time. If the tap A is turned off after 4 minutes, how long will tap B take to fill the rest of the cistern ?
Choices:
8 min.
10 min.
7 min.
None of these
Answer: A
Question: Two trains 160 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
18.8 sec
14.52 sec
10.8 sec
11.52 sec
Answer: D
Question: What is the maximum number of points that 10 circles of different radii intersect?
Choices:
26
33
90
100
Answer: C
Question: A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 700,000?
Choices:
100
180
240
300
Answer: A
Question: Which of the following is the full form of the term SLR as used in the banking sector?
Choices:
Statutory Liquidity Ratio
Scheduled Liquidity Rate
Separate Lending Rate
None of these
Answer: A
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 36 minutes. The waste pipe can empty the full cistern in?
Choices:
7.2
6.2
9.2
5.2
Answer: A
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
340
350
320
310
Answer: B
Question: If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 5 m of the same rod?
Choices:
25.6 kg
19 kg
26.5 kg
None of these
Answer: B
Question: It takes 80 identical printing machines 5 hours to print 200,000 posters. How long would it take 50 of these machines to print the same total?
Choices:
7 hr
7 hr, 30 min
8 hr
10 hr
Answer: A
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜MOUSEâ€™, using each letter exactly once?
Choices:
120
160
720
820
Answer: A
Question: Find the angle between the hour hand and the minute hand of a clock when
3.25.
Choices:
47.5
45.5
48.5
44.5
Answer: A
Question: x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median Q of x, y, and z?
I. 9
II. 10
III. 11
Choices:
II only
III only
I and II only
I and III only
Answer: D
Question: The price of a laptop . set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
B)19074
C)19008
D)19000
E)19002
Answer: C
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Choices:
XB < YD
AX > XB
AX < XB
CY < AB
Answer: D
Question: In a joint business, the capital of A, B and C were Rs. 45000, Rs. 30000 and Rs. 22500 respectively. A withdrew half of his capital after 4 months. After 9 months of this withdrawal, there was a total profit of Rs. 28400. Find the each share of profit?
Choices:
7800
8200
8400
8600
Answer: A
Question: A, B and C rents a pasture for Rs.638. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
198
676
156
122
Answer: A
Question: If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 55, what is the compound interest on the same sum at the rate and for the same time?
Choices:
s. 56.37
s. 56.219
s. 51.18
s. 51.11
Answer: A
Question: If an amount of Rs 41,800 is distributed equally
amongst 22 persons, how much amount would each
person get?
Choices:
Rs 1900
Rs 745
Rs 765
None
Answer: A
Question: The simple interest on a sum of money will be Rs.800 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
3799
1200
1600
1732
Answer: C
Question: Find the simple interest on Rs.620 for 10 months at 10 paisa per month?
Choices:
620
640
678
121
Answer: A
Question: You collect coins. Suppose you start out with 18. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end?
Choices:
3
4
5
11
Answer: D
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 8 sec. What is the length of the platform?
Choices:
350 m
1267 m
1287 m
1162.5 m
Answer: D
Question: A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:
Choices:
100/17% gain
20/3% loss
None of these
Cannot be determined
Answer: A
Question: If the simple interest on $1500 increase by $20,when the time increase by 2 years. Find the rate percent per annum.
Choices:
0.5%
0.1%
0.2%
0.7%
Answer: D
Question: A train 175 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
17 sec
88 sec
10 sec
Answer: D
Question: A sum of Rs. 1870 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:
Rs. 160
Rs. 240
Rs. 330
None
Answer: C
Question: A parking space have 8 different slots. 8 cars has to arrange in 8 slots. But there are exactly 4 cars between 3 specified cars. In how many ways cars can be arranged?
Choices:
720
1500
1640
1440
Answer: A
Question: 3/4 of 1/2 of 2/5 of 5060 = ?
Choices:
759
753
493
540
Answer: A
Question: A rectangular grass field is 85 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
1450
9676
1679
2691
Answer: A
Question: At a certain conference, 42% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 40% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance?
Choices:
62.0%
79.2%
70.0%
82.0%
Answer: C
Question: 2 pipes function simultaneously the reservoir will be filled in 12 hrs. One pipe fills reservoir 10 hrs faster thanthe other. How many hours does the faster pipe take to fill the reservoir?
Choices:
20
30
34
36
Answer: A
Question: The percentage profit earned by selling an article for Rs. 1820 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
1230
2000
5600
1937.5
Answer: D
Question: If x - 8 = |x - 9|, then x=?
Choices:
8.5
9
6
4
Answer: A
Question: If a*b*c=130, b*c*d = 65, c*d*e=500 and d*e*f=250 the (a*f)/(c*d) = ?
Choices:
1/4
3/4
2/3
1
Answer: D
Question: Average weight of 10 people increased by 0.5 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
Choices:
50
60
65
70
Answer: A
Question: A coin is tossed 4 times. What is the probability of getting exactly 3 heads?
Choices:
1/4
1/8
1/16
3/16
Answer: A
Question: Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations Y of classes are available?
Choices:
6
Y=7
Y=9
Y=12
Answer: C
Question: If 20 men can build a water fountain 56 metres long in 3 days, what length of a similar water fountain can be built by 35 men in 3 days?
Choices:
64 m
77 m
89 m
98 m
Answer: D
Question: What is the sum of all possible solutions to |x - 5|^2 + |x - 5| = 20 ?
Choices:
6
7
10
14
Answer: C
Question: Approximately how many revolutions will be made by a car tire with a 10-inch diameter if the car travels 1⁄2 mile?
Choices:
180
1003
1000
1,440
Answer: B
Question: Robin mixes two liquids, one blue in coloUr and other red in colour in the ratio 2:3 and sells the mixture at the rate of $20 per liter, thereby making a 25% profit on his outlay. The blue liquid costs Robin $5 per litre lesser than the red liquid. How much does a liter of red liquid cost?
Choices:
13
14
15
16
Answer: B
Question: A cricketer scored 136 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets.
Choices:
54.54 %
55.88%
70%
None of these
Answer: B
Question: A set of numbers has the property that for any number t in the set, 2t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. -3
II. 1
III. 6
Choices:
I only
I and II only
II and III only
I, II, and III
Answer: A
Question: John has on his shelf four books of poetry, three novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Choices:
1/6
3/10
7/20
8/45
Answer: A
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is
Choices:
587 × 1010 miles
587 × 10-10 miles
587 × 1012 miles
587 × 10-12 miles
Answer: C
Question: 3 building 3 floors how many floors are in the 3 buildings?
Choices:
6
3
9
10
Answer: B
Question: Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 3,000, how much money did investors B and C earn in total?
Choices:
$4,900
$5,600
$9,000
$10,500
Answer: C
Question: If (x-11)(x-3) < 0, which of the following must be true?
Choices:
x^2 + 5x + 6 > 0
5 - x < 0
x - 5 < 0
11 - x > 0
Answer: D
Question: What is the ratio G of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Choices:
3/8
1/2
3/5
2
Answer: C
Question: A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Choices:
Rs.45
Rs.55
Rs.60
None
Answer: A
Question: The sum of three consecutive even numbers is 42. Find the middle number of the three?
Choices:
14
52
25
32
Answer: A
Question: If 5^5 × 5^7 = (5^4)^x , then what is the value of x?
Choices:
3
4
5
6
Answer: A
Question: A loan has a variable interest rate that fluctuates between 5% and 9% of the base payment per month. If base payments remain at $250 each month and an additional monthly surcharge of 1% is added to the combined (base + interest), what would be the greatest possible payment due in any given month?
Choices:
$ 265.13
$ 272.50
$ 275.23
$ 286.13
Answer: C
Question: 5020−(1004÷20.08)=?
Choices:
4350
4210
4100
4970
Answer: D
Question: If a lies in the range (-4,3) then which of the following statements must be true?
Choices:
a > a^2 > a^3 > a^4
a^4 > a^2 > a^3 >a
a^2 > a^4 > a^3 >a
a^2 > a^4 > a > a^3
Answer: C
Question: Half of the volume of the milk and water mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by the substitution(or replacement method) the mixture of ratio 7:5 was formed from the mixture 7:3 by adding the water in it. if 240 L milk is required in the replacement method ,what it the total amount of water was added t6o prepare the mixture 7:5 ?
Choices:
50 L
400 L
300 L
200 L
Answer: C
Question: By selling 32 apples in a dollar, a man loses 40%. How many apples must he sell in a dollar to gain 20% profit?
Choices:
16
20
25
28
Answer: A
Question: A and B together can do a work In 4 days. A alone can do it in 12days.what time B will take to do the work alone?
Choices:
6 days
12 days
10 days
5 days
Answer: A
Question: A store owner estimates that the average price of type A products will increase by 15% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$14,305
$16,000
$16,225
$17,155
Answer: A
Question: A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight then find the loss incurred.
Choices:
Rs. 6000
Rs. 5500
Rs. 5000
Rs. 7000
Answer: C
Question: a man and a woman, walking together start out by boyh taking a step with the left foot.in order to keep together, the man whose stride is longer,takes two steps while the woman takes three.how many steps will the woman have taken they are both about to step out on the right foot for the first time together?
Choices:
5
6
7
8
Answer: A
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 59 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
380.20$
421.20$
451.20$
481.20$
Answer: D
Question: If it takes Alex 20 minutes to walk from home to School and it takes him 10 minutes to walk from home to the supermarket, which of the following COULD be true?
I. The School is closer to Alex's home than the supermarket.
II. To walk to School, Alex will spend double the time it takes him to walk to the supermarket.
III. Alex will spend more time walking to the school than walking to the supermarket.
Choices:
I and II only
I and III only
II and III only
I, II and III
Answer: C
Question: A house is getting ready for dinner table. There are 15 members in the family, and the butler must assign 10 people to the following positions: 1 main chair, 4 on left side, 4 on right side, and 1 most further away seat. Only 3 of the family members are elderly enough to sit on the main chair, and they will not sit at any other place. The other members can sit on any seat. How many different groupings are possible?
Choices:
100
80
59400
789300
Answer: C
Question: A works twice as fast as B.If B can complete a work in 18 days independently,the number of days in which A and B can together finish the work is:
Choices:
6 days
8 days
10 days
12 days
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240
288
267
165
Answer: D
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
18 2/81%
18 2/12%
18 2/21%
Answer: A
Question: If the difference of two numbers is 3 and the difference of their square is 39, then the larger number is:
Choices:
2
12
14
8
Answer: D
Question: 9 people decided to split the food order evenly. If the bill was $86.14 dollars, how much money should be removed with 1 cent as the smallest unit?
Choices:
$86.11
$86.12
$86.13
$86.19
Answer: C
Question: How many words can be formed by using all letters of the word 'BIHAR'?
Choices:
24
120
60
None of these
Answer: B
Question: The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Choices:
546
566
548
589
Answer: C
Question: The least number which must be subtracted from 909 to make it exactly divisible by 9 is:
Choices:
B)3
C)0
D)5
E)6
Answer: B
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $11,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college?
Choices:
85,500
95,500
100,500
100,000
Answer: B
Question: Find the maximum value of n such that 50! is perfectly divisible by 2520^n
Choices:
8
9
6
5
Answer: A
Question: A comic collector sells his memorabilia through an on-line distributor, which take a commission of 5% of the price set by the collector. The on-line store obtains the product from an artist at the price of $100 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 5% profit on the cost of the item?
Choices:
105.15
110.53
107.22
66.68
Answer: B
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is
Choices:
1.8 km
2.4 km
3.6 km
1.6 km
Answer: C
Question: (5568 / 87)1/3 + (72 x 2)1/2 = (?)1/2 ?
Choices:
256
√2
16
None
Answer: A
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
Choices:
625 miles
325 miles
225 miles
625 miles
Answer: B
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Choices:
36 years
40 years
48 years
None
Answer: B
Question: If 4 people are selected from a group of 7 married couples, what is the probability that none of them would be married to each other?
Choices:
2/33
1/3
16/33
47/84
Answer: D
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
5/24
5/26
5/31
6/29
Answer: B
Question: There are 8 orators A, B, C, D, E, F, G and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Choices:
8! / 3!
5! x 3!
8! / (5! x 3!)
8! / (5! x 4!)
Answer: A
Question: A copy machine, working at a constant rate, makes 40 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
Choices:
2,700
4,500
5,400
2,850
Answer: D
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 12 years more than twice the age of the son. Find the present age of the father.
Choices:
39
29
40
48
Answer: A
Question: Two unbiased coins are tossed.What is the probability of getting at most one head?
Choices:
1
3/4
2
1/2
Answer: B
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1640
2977
2991
2771
Answer: A
Question: An alloy weighing 24 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
Choices:
9
12
24
48
Answer: D
Question: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?
Choices:
-20
-30
-40
-50
Answer: A
Question: Seven years ago the average age of a family of 2 members was 26 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
Choices:
29years
30years
35years
40years
Answer: A
Question: Which of the following is a prime number ?
Choices:
94
96
97
98
Answer: C
Question: The total of the ages of Mahesh, Suresh, Ramesh is 138 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
Choices:
58years
42years
35years
30years
Answer: A
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 50 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
Choices:
45
50
55
60
Answer: B
Question: Suppose that this fresh fruit contains 80% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100kg of fresh fruit?
Choices:
B)40kg
C)25kg
D)80kg
E)100kg
Answer: B
Question: A circle graph shows how the budget of a certain company was spent: 20 percent for transportation, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for salaries. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent salaries?
Choices:
135°
216°
240°
270°
Answer: B
Question: The current in a river is 4 mph. A boat can travel 18 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
Choices:
85.5 miles
96 miles
100 miles
112 miles
Answer: A
Question: It is required to seat 7 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Choices:
86,214
86,400
86,328
86,368
Answer: B
Question: For which of the following functions is f(e) = f(−e) for all values of e ?
Choices:
f(x) = −x
f(x) = 2x + 3
f(e) = −e^2 + 2
f(x) = 5x − 4
Answer: C
Question: The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 46 kg more than the weight of the third boy, what is the weight of the lightest boy?
Choices:
36.8 kg
98.8 kg
65.8 kg
87.8 kg
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150
277
269
261
Answer: A
Question: Jon had an average score of 85 on his first five quizzes. He had an
average score of 83 on his first six quizzes. What score did he receive on
his sixth quiz?
Choices:
69
75
73
80
Answer: C
Question: After giving a discount of rs.45 the shopkeeper still gets a profit of 20%,if the cost price is rs.180.find the markup %?
Choices:
0.55
0.45
0.48
0.58
Answer: B
Question: If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a50 is equal to ?
Choices:
b. 5*2^99+6
c. 6*2^99+5
d. 6*2^99-5
e. 6*2^99-6
Answer: D
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
24 kmph
21 kmph
28 kmph
29 kmph
Answer: A
Question: A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 360 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
Choices:
110
120
140
220
Answer: C
Question: When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?
Choices:
103
99
101
None of these
Answer: A
Question: Of the 20,210 employees of the anvil factory, 2/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
Choices:
16.67%
33%
28.6%
49.67%
Answer: D
Question: In packing for a trip, Sarah puts three pairs of socks - one red, one blue, and one green - into one compartment of her suitcase. If she then pulls four individual socks out of the suitcase, simultaneously and at random, what is the probability that she pulls out exactly two matching pairs?
Choices:
1/5
1/3
2/3
4/5
Answer: A
Question: Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 70 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1045
C)1055
D)1190
E)1075
Answer: C
Question: The ratio of income of Anand to that of Balu is 5 : 4 and the expenditure of Anand to that of Balu is 3: 2. If at the end of the year, each saves Rs, 800, the income of Anand is :
Choices:
Rs 1800
Rs 2000
Rs 2200
None of these
Answer: B
Question: The average runs of a cricket player of 10 innings was 20. How many runs must he make in his next innings so as to increase his average of runs by 4?
Choices:
77
64
19
17
Answer: B
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 10% profit on the first article and 10% loss on second article. Find the net profit or loss percent?
Choices:
100
276
280
279
Answer: A
Question: On my sister's birthday, she was 126 cm in height, having grown 5% since the year before. How tall was she the previous year?
Choices:
120 cm
116 cm
112 cm
110 cm
Answer: A
Question: The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Choices:
64 degrees
77 degrees
26 degrees
18 degrees
Answer: A
Question: Mr. Kela purchased two steel factories, one in india and other one in Malaysia for total Rs. 72
crores. Later on he sold the india factory at 16% profit and malaysian factory at 24% profit.
Thus he gained a total profit of 19%. The selling price of Indian factory is:
Choices:
52.2 crores
55.5 crores
59.3 crores
None of these
Answer: A
Question: There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess?
Choices:
Rs. 320
Rs. 550
Rs. 420
None
Answer: C
Question: A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 3 times. Find how much spirit is left in the resulting mixture finally?
Choices:
6(346/625) gallons
6.5 gallons
6.25 gallons
None of these
Answer: D
Question: If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c+a=b+a+1
II. abc is an even integer
III. (a+b+c)/3 is an integer
Choices:
II
I and II
II and III
all are true
Answer: D
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Choices:
756
250
600
350
Answer: A
Question: Two trains 150 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
18.8 sec
14.8 sec
10.8 sec
11.16 sec
Answer: D
Question: At Deluxe paint store, Fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. Mauve paint is made by mixing 4 parts of red paint with 5 parts blue paint. How many liters of blue paint must be added to 32 liters of Fuchsia to change it to Mauve paint?
Choices:
13
15
16
18
Answer: A
Question: (1000)7÷(10)18=?
Choices:
100
1000
10000
None of these
Answer: B
Question: What is the principal sum?
I. The sum amounts to Rs. 690 at S.I.
II. Total year is 8 years.
III. The rate of interest is 5% p.a.
Choices:
II and III only
I and II only
Any two of the three
All I, II and III
Answer: D
Question: If 'a' and 'b' are non-zero numbers such that their sum is seven times the product, what is the value of 1/a + 1/b?
Choices:
7
8
14
21
Answer: A
Question: The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
Choices:
289/290
290/289
289
300
Answer: B
Question: The average of five consecutive even numbers A, B, C, D and E is 20. What percent of E is D?
Choices:
91.7
97.1
101.1
107.1
Answer: A
Question: Mixture A, which is 20% oil, contains 20 gallons of water and mixture B is 80% oil. If the combination of mixture A and B has a 4.5 : 3 ratio of oil to water, how many gallons of water does mixture B have?
Choices:
10
30
40
50
Answer: A
Question: A jogger running at 9 kmph along side a railway track is 230 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Choices:
18 sec
35 sec
72 sec
None of these
Answer: B
Question: The simple interest on Rs. 8 for 12 months at the rate of 5 paise per rupeeper month is
Choices:
4.8
4.4
3.21
None
Answer: A
Question: Two commodities have cost per kg is 4.75Rs & 3.20Rswere mixed in a certain
ratio so as to make cost price of mixture as 17.75 Rs. Find the ratio
Choices:
14.55:13
16.55:13
17.55:13
18.55:13
Answer: A
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1800. What is their H.C.F.?
Choices:
20
30
40
50
Answer: B
Question: There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure q in inches of the width of the foil covered prism?
Choices:
6
8
9
10
Answer: D
Question: Two cars start at the same time from opposite ends of a highway that is 175 miles long. One car is riding at 25 mph and the second car is riding at 45 mph. How long after they begin will they meet?
Choices:
2.5
3
3.5
4
Answer: A
Question: Find the highest value of 'a' so that 365a16 is divisible by 8.
Choices:
8
0
2
1
Answer: A
Question: A certain machine produces 780 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 4 days?
Choices:
24,000
74,880
100,000
168,000
Answer: C
Question: At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent Q of the interns report no feelings of tiredness during their shifts?
Choices:
14
19
20
81
Answer: B
Question: ABCD is a square where AB =âˆš4008. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.
Choices:
2004
1008
2016
3000
Answer: A