antoine-444/aqua_rat_dataset huggingface dataset:
Question: An escalator moves towards the top level at the rate of 15 ft.sec and its length is 180 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
Choices:
20sec
15sec
18sec
10sec
Answer: D
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 134 m length?
Choices:
12.2 sec
19.1 sec.
17.1 sec.
42.1 sec.
Answer: A
Question: If [Z] denotes the least integer greater than or equal to Z and [Z] = 0, which of the following statements must be true?
Choices:
0 <= Z < 1
0 < Z <= 1
-1 <= Z < 0
-1 < Z <= 0
Answer: D
Question: The profits of QRS company rose 50% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
Choices:
32%
40%
62%
80%
Answer: D
Question: The average of 15 numbers is calculated as 30. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
26
16
45
12
Answer: C
Question: A rectangular plot measuring 90 metres by 40 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ?
Choices:
56
57
52
None of these
Answer: C
Question: Ashok borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of 11,400/ - at the end of nine years, how much money did he borrow?
Choices:
14,000
18,000
12,000
None of these
Answer: C
Question: The tax on a commodity is diminished by 14% and its consumption increased by 15%. The effect on revenue is?
Choices:
8.1%
5.1%
6.1%
1.1%
Answer: D
Question: Ten Students take a test. The scores of the test are as follows:
Student A:60
Student B:40
Student C:50
Student D:75
Student E:95
Student F:50
Student G:45
Student H:100
Student I:45
Student J:70
How many scores were greater than the median score but less than the mean score?
Choices:
One
Two
Three
Four
Answer: A
Question: An urn contains 6 red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red?
Choices:
5/26
6/26
9/26
10/27
Answer: A
Question: A wooden box of dimensions 4 m x 2 m x 4 m is to carry rectangularboxes of dimensions 4 cm x 2 cm x 2 cm. The maximum number ofboxes that can be carried in the wooden box, is
Choices:
2000000
7500000
1200000
None of these
Answer: A
Question: Machine A can finish a job in 4 hours, Machine В can finish the job in 3 hours, and Machine С can finish the job in 6 hours. How many hours will it take for A, B, and С together to finish the job?
Choices:
4/3
5/4
6/5
8/7
Answer: A
Question: P and Q started a business investing Rs. 96,000 and Rs. 28,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
24:7
25:6
21:3
17:4
Answer: A
Question: Harkamal purchased 8kg of grapes at the rate of 80 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1055
C)1065
D)1135
E)1080
Answer: C
Question: The average weight of 16 girls in a class is 50.25 kg and that of the remaining 8 girls is 45.15 kg. Find the average weights of all the girls in the class.
Choices:
A)48.55
C)51
D)61
E)62
Answer: A
Question: A number of 41 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
Choices:
13
15
16
17
Answer: A
Question: On a test, students receive 2 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?
Choices:
-1
0
1
2
Answer: B
Question: When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?
Choices:
1
2
3
4
Answer: B
Question: The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Choices:
28
600
277
191
Answer: B
Question: In State X, all vehicle license plates have 3 letters from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?
Choices:
60,840
67,600
608,400
175,760,000
Answer: D
Question: If there are 200 questions in a 3 hr examination. Among these questions are 15 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Choices:
25.11628 min
70 min
74.11682 min
76 min
Answer: A
Question: How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
5
7
3
Answer: A
Question: Simplify: 18800+470+20
Choices:
1
5
2
3
Answer: C
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
7000
8000
9000
None
Answer: B
Question: A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 30 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
Choices:
70%
75%
82%
95%
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
450
719
750
712
Answer: A
Question: Sum of the squares of three numbers is 222 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
22
26
28
29
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'MACHINE' is ?
Choices:
5039
5010
5033
3000
Answer: A
Question: The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#36?
Choices:
17
18
19
20
Answer: B
Question: The distance between two planets is 3.04 × 10^8 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)
Choices:
9.9 × 10^6
9.3 × 10^7
9.9 × 10^7
10.1 × 10^8
Answer: B
Question: The distance between a food bank and a church is approximately 8.0 x 10^5 inches. Which of the following is closest to the distance between the food bank and the church, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
Choices:
23.4
19.86
20.5
23.9
Answer: C
Question: The equation x = 2y^2 + 5y - 18, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
Choices:
y - 3x - 11 = 0
-2x - y - 7 = 0
-3x + y - 18 = 0
-3x + y + 13.5 = 0
Answer: C
Question: The average ageof A, B and their C 3 years ago was 25 years and that of B and the C 5 years ago was 10 years. The present age of the A is:
Choices:
56 years
51 years
58 years
60 years
Answer: B
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 4 family members in a row for the picture?
Choices:
9×8!
8×9!
10!/2!
9x10!
Answer: D
Question: The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations Q could be chosen from this menu?
Choices:
20
40
80
100
Answer: B
Question: The present ages of Tim and Lee are in the ratio of 5:6 respectively. Seven years hence, the ratio of their ages will be 6:7 respectively. What is Tim's present age?
Choices:
32 years
35 years
34 years
39 years
Answer: B
Question: On decreasing the price of a colour TV by 15%, its sale is increased by 30%. The effect on the revenue is?
Choices:
25.5 % increase
16% decrease
30 % increase
none of these
Answer: A
Question: The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Choices:
B)45
C)729
D)34
E)35
Answer: A
Question: Find the arithmetic mean W of all roots of the following equation- see an attachment.
Choices:
1
0.5
-1/3
0.3
Answer: B
Question: The youngest of 4 children has siblings who are 1, 4, and 7 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 17, what is the age of the youngest sibling?
Choices:
11
12
13
14
Answer: D
Question: judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 9th position from either end of the row.
Can you find out how many girls are practicing together?
Choices:
9
17
18
20
Answer: B
Question: A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?
Choices:
17
37
47
57
Answer: A
Question: If selling price is doubled, the profit triples. Find the profit percent?
Choices:
100%
120%
900%
160%
Answer: A
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
3:1
19:8
19:5
19:2
Answer: A
Question: Which term of the AP: 121, 117, 113, ...... is its first negative term?
Choices:
-2
-3
-5
-7
Answer: B
Question: Divide Rs. 1600 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:
368
375
337
400
Answer: D
Question: If a person walks at 16 km/hr instead of 8 km/hr, he would have walked 20 km more. The distance traveled by him if he walked at 16 km/hr?
Choices:
58 km
60 km
70 km
40 km
Answer: D
Question: Of a certain group of 100 people, 40 graduated from High School O, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School O, did not graduate from College Y, and do not live in City Z ?
Choices:
15
35
65
85
Answer: B
Question: Kim is taking a math class, and the teacher gives a multiple choice test consisting of 7 questions. If each question has 4 answer choices, and Kim answers every question, in how many different ways can she complete the test?
Choices:
b 400
c 4^7
d 8^5
e 40^40
Answer: B
Question: If there are n rays and all of them are reversed after 2006 reversals, then a possible value of n is
Choices:
3777
2002
3772
8822
Answer: B
Question: If you keep rolling a pair of dice together till a sum of 5 or 7 is obtained, then what is the probability that a sum of 5 comes before a sum of 7?
Choices:
4/5
3/5
2/5
1/5
Answer: C
Question: A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 16%. What is the value of x?
Choices:
36.67 litres
37.67 litres
36.5 litres
33.33 litres
Answer: D
Question: An inspector rejects 0.08% of the meters as defective. How many will he examine to reject 2?
Choices:
2000
2500
3000
3100
Answer: B
Question: A car during its journey travels 30 minutes at a speed of 40 kmph, another 45 minutes at a speed of 60 kmph, and 2 hours at a speed of 70 kmph.The average speed of the car is
Choices:
63.07 kmph
62.02 kmph
64.02 kmph
None of these
Answer: A
Question: Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 4 screws and 2 nails?
Choices:
5/2
2
3/2
5/4
Answer: D
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.67
2.21
2.82
Answer: A
Question: In how many V ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?
Choices:
12
18
24
30
Answer: B
Question: A miniature gumball machine contains 5 blue, 4 green, and 1 red gumball, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?
Choices:
1/4
1/5
1/6
1/10
Answer: C
Question: What is the maximum number E of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
Choices:
32
24
21
15
Answer: B
Question: A person can swim in still water at 20 km/h. If the speed of water 12 km/h, how many hours will the man take to swim back against the current for 40km?
Choices:
4
5
6
7
Answer: B
Question: Evaluate: 11 + sqrt(- 4 + 6×4÷3)
Choices:
10
11
12
13
Answer: D
Question: If n = 2p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?
Choices:
Two
Four
Six
Eight
Answer: A
Question: The product of all the prime numbers less than 25 is closest to which of the following powers of 10?
Choices:
b) 10^8
c) 10^8*2.23
d) 10^6
e) 10^5
Answer: B
Question: Somehow or other I got talked into buying something on the installment plan. I'm notsure I got a good deal. The payments to date,according to my checkbook, have reached Rs.96.The second year cost Rs.2.00 more than the first year; the third year cost Rs.3.00 more thanthe second; and the fourth year cost me Rs.4.00 more than the third. What were mypayments the first year?
Choices:
20
22
24
26
Answer: A
Question: A cubical block of metal weighs 7 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Choices:
32
24
56
12
Answer: C
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 2500 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
150
160
170
200
Answer: D
Question: A, B and C shared profits in ratio of 5 : 7 : 8. Theypartnered for 10months, 8months and 7months respectively. What was he ratio of their investments ?
Choices:
20 : 49 : 64
10 : 19 : 64
20 : 35 : 64
30 : 29 : 63
Answer: C
Question: In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If B receive 18000,how much amount was their profit?
Choices:
48200
60400
58500
None of these
Answer: C
Question: Arun makes a popular brand of ice cream in a rectangular shaped bar 6cm long, 5cm wide and 2cm thick. To cut costs, the company had decided to reduce the volume of the bar by 19%. The thickness will remain same, but the length and width will be decreased by some percentage. The new width will be,
Choices:
33
99
367
72
Answer: A
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 26. Which of the following integers is the higher of the remaining two integers?
Choices:
85
44
22
55
Answer: A
Question: Abel can complete a work in 10 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 5 days before the completion of the work. How long did the work last?
Choices:
7
8
8 1/9
10
Answer: C
Question: Robert ate 13 chocolates, Nickel ate 4 chocolates. How many more chocolates did Robert ate than nickel?
Choices:
B)7
C)9
D)5
E)2
Answer: B
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 54. What is the rate of interest per annum?
Choices:
2
9
4
6
Answer: D
Question: The average age of 21 students of a class is 21 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 21th student is
Choices:
164
100
182
195
Answer: A
Question: The average (arithmetic mean) of 20, 40, and 60 is 9 more than the average of 10, 70, and what number?
Choices:
25
35
13
55
Answer: C
Question: What is the unit digit in(7^95 - 3^58)?
Choices:
4
7
9
10
Answer: A
Question: Ben and Shari have invited three other couples to their apartment for a game of charades. Everyone is to be split into two equal teams, but each team must consist of either two couples or no couples. How many different pairs of teams are possible?
Choices:
11
22
35
70
Answer: A
Question: If xx is chosen at random from the set {1,2,3,4} and yy is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?
Choices:
29
28
23
22
Answer: C
Question: 7^b + 7^b + 7^b + 7^b + 7^b + 7^b + 7^b =
Choices:
7^(b + 1)
7^(7b)
8^b
49^B
Answer: A
Question: Calculate the circumference of a circular field whose radius is 5 centimeters.
Choices:
6 π cm
7 π cm
8 π cm
10 π cm
Answer: A
Question: Find the odd man out. 9, 12, 15, 18, 21, 25
Choices:
25
12
15
18
Answer: A
Question: Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
Choices:
Rs. 38,000
Rs.6300
Rs.9000
Rs.12000
Answer: A
Question: There are 9 women and 8 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Choices:
942
1008
1224
1450
Answer: B
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be
Choices:
8 days
10 days
12 days
13 days
Answer: A
Question: A train 225 m long running at 90 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
266
400
277
232
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 20 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:
47.14 cm
26.71 cm
94.94 cm
23.57 cm
Answer: B
Question: The length and breadth of a rectangle is increased by 30% and 45% respectively. What is the increase in the area?
Choices:
87.5
86.0
88.0
88.5
Answer: D
Question: 9 engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal is required for 8 engines, each running 13 hours a day, if 3 engines of former type consume as much as 4 engines of latter type?
Choices:
22 metric tonnes
24 metric tonnes
26 metric tonnes
None of these
Answer: C
Question: Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "HEN"?
Choices:
72
75
78
81
Answer: D
Question: Kamal obtained 66, 65, 77, 62 and 75 marks(out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
69
72
75
NOne
Answer: A
Question: Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louis have to pay each month?
Choices:
383
402
433
483
Answer: B
Question: Express 15 mps in kmph?
Choices:
88
90
21
54
Answer: D
Question: If 2 (A's capital) = 4 (B's capital) = 6 (C's capital). Then the ratio of their capitals is?
Choices:
6:3:2
6:3:5
6:4:2
6:2:2
Answer: A
Question: In how many ways can 7 different objects be dived among 3 persons so that either one or two of them do not get any object?
Choices:
381
36
84
94
Answer: A
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 12km?
Choices:
5
8
9
6
Answer: D
Question: A train is 360 meter long is running at a speed of 90 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
69
40
72
20
Answer: D
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 7 years ago?
Choices:
10
12
14
7
Answer: D
Question: A bowl was filled with 10 ounces of water, and 0.014 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.40%
7%
40%
Answer: C
Question: It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)),
when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 360, 360, and 300 as the side’s lengths, what is the triangle’s area?
Choices:
36,200
38,200
42,200
49,089
Answer: D
Question: Oranges are bought at 7 for Rs.4.50. At what rate per hundred must they be sold to gain 33%?
Choices:
85.5
89.5
94.5
95.0
Answer: A
Question: If 4 persons can do 4 times of a particular work in 4 days, then, 7 persons can do 7 times of that work in?
Choices:
4 days
6 days
7 days
8 days
Answer: A
Question: An alloy of copper and zinc contains copper and zinc in the ratio 9 : 6. Another alloy of copper and zinc contains copper and zinc in the ratio 6 : 9. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
Choices:
1 : 4
1 : 3
1 : 1
1 : 2
Answer: C
Question: In how many ways can the letters D, I, G, I, K be arranged so that the two I's are not next to each other?
Choices:
36
72
96
128
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B =6:3 and B:C = 6:5. If the total runs scored by all of them are 118, the runs scored by B are?
Choices:
24
30.93
20.93
10.93
Answer: A
Question: Assume all pieces of rope are equal.
If 44 pieces of rope measure A feet, how long would B pieces of rope be in inches?
Choices:
11/3AB
6/11AB
AB/44
3AB/11
Answer: D
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
5 sec
12.5 sec
12 sec
Answer: A
Question: In one hour, a boat goes 15 km along the stream and 5 km against the stream. the sped of the boat in still water (in km/hr) is :
Choices:
5
8
9
10
Answer: D
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Choices:
3.34 sq m
1.17 sq m
2.98 sq m
2.67 sq m
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Choices:
704 m
350 m
450 m
500 m
Answer: A
Question: If a and b are positive numbers, and a^3 + b^3 = 30, then the greatest possible value of a is between:
Choices:
3 and 4
4 and 5
5 and 7
7 and 9
Answer: A
Question: A shop owners pays an average salary of $400 to his 10 employees and $100 to the 2 accountants. What is the average salary for the shop owner?
Choices:
$350
$460
$120
$800
Answer: A
Question: What is the difference between the local value of 6 and 9 in the number 2694?
Choices:
510
288
277
112
Answer: A
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 12-meter platform and caught it after it had traveled 35.65 meters. How many times did the ball bounce?
Choices:
6
7
8
9
Answer: A
Question: An woman sitting in a train which is travelling at 20 kmph observes that a goods train travelling in a opposite direction, takes 15 seconds to pass him. If the goods train is 300 m long, find its speed.
Choices:
52
56
58
60
Answer: A
Question: A train 600 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:
700m
500 m
187 m
1678 m
Answer: A
Question: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Choices:
96
22
76
11
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
349
342
346
344
Answer: B
Question: If the selling price of 7 articles is same as the cost price of 10 articles. Find the gain or loss percentage?
Choices:
23%
33%
43%
53%
Answer: C
Question: How many 4 letter words can we make from the letters in an alphabet?
Choices:
358800
358801
358809
358810
Answer: A
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation f of the mean, what percent of the distribution is less than m+f?
Choices:
32%
48%
84%
92%
Answer: C
Question: one pipe can fill a tank in 15 hour.but because of hole in a tank,this tank fill in 20 hour.so in how much time this hole will empty the full tank?
Choices:
40
50
60
70
Answer: C
Question: Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 115 mangoes.
Choices:
383
400
406
412
Answer: A
Question: A meal cost $ 33.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
Choices:
39-41
38-40
37-39
36-37
Answer: C
Question: A line with slope 2 intersects a line with slope 6 at the point (40, 30).
What is the distance between the x-intercepts of these lines?
Choices:
6
8
10
12
Answer: C
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
40 kmph
30 kmph
55 kmph
68 kmph
Answer: B
Question: Four balls of different colors are to be placed in three different boxes such that any box contains at least 1 ball . What is the maximum number of different ways in which this can be done?
Choices:
90
120
150
180
Answer: D
Question: In what ratio must rice at Rs.9.30 per Kg be mixed with rice at Rs.10.80 per Kg so that the mixture be worth Rs.10 per Kg?
Choices:
8 : 7
8 : 9
9 : 8
None
Answer: A
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in:
Choices:
14 hrs
10 hrs
8 hrs
9 hrs
Answer: A
Question: A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
Choices:
Rs.144
Rs.148
Rs.179
Rs.121
Answer: A
Question: S1 = 5 S2 = 8 ... Sn = 3n + 4 For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50?
Choices:
14
13
12
16
Answer: D
Question: Two numbers are in the ratio 1:2, if 7 is added to both, their ratio changes to 3:5. The greatest number is
Choices:
26
28
32
44
Answer: B
Question: one disk of 20cm radius, out of that 4 disk of 5cm are cut , find diffrence of leftout and cut out area?
Choices:
300pi
100pi
400pi
500pi
Answer: A
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Choices:
5%
6%
4%
2%
Answer: A
Question: If the Average (mean ) of 11 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
9x
5x/3
3x/2
3x/5
Answer: A
Question: The average expenditure of a labourer for 6 months was 75 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i
Choices:
72
75
78
80
Answer: A
Question: Sum of the squares of 3 no. is 156 and the sum of their products taken two at a time is 50. Find the sum?
Choices:
16
19
21
15
Answer: A
Question: log xy3 = a; log x2y = b then then value of log y /log x
Choices:
277
997
1781
123
Answer: A
Question: The slant height of a cone is 20 cm and radius of the base is 10 cm, find the curved surface of the cone.
Choices:
159
150
200
628
Answer: D
Question: A bag of potatoes weighs 16 kg divided by a quarter of its weight. How much does the bag weigh?
Choices:
8 kg
7 kg
3 kg
9 kg
Answer: A
Question: Two boats are heading towards each other at constant speeds of 5 miles/hr and 21 miles/hr respectively. They begin at a distance 20 miles from each other. How far are they (in miles) one minute before they collide ?
Choices:
5/12
1/6
13/30
1/5
Answer: C
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8!
9
3
1
Answer: A
Question: The distance between Delhi and Mathura is 130 kms. A starts from Delhi with a speed of 25 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 30 kmph at 9 p.m. from Delhi. When will they meet?
Choices:
11
16
10
98
Answer: A
Question: In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x+y?
Choices:
-1
1
5
6
Answer: B
Question: If x and y are positive integers, then xy + x is
Choices:
Always odd
Even whenever x is even
Even whenever x + y is odd
It cannot be determined from the information given
Answer: B
Question: What is the product of all the possible values of x if x^2+4x+7=|x+2|+3
Choices:
-6
12
29
168
Answer: A
Question: A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
Choices:
Rs. 2660
Rs. 2800
Rs. 2840
Rs. 2478
Answer: A
Question: If x = (y)(y + 1) and y is a prime number less than 10, which of the following could not be the product of 2 consecutive integers?
Choices:
b) 11x
c) 16x
d) 30x
e) 57x
Answer: B
Question: he average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Choices:
28
15
199
21
Answer: B
Question: A statue is being carved by a sculptor. The original piece of marble weighed 140 kg. In the first week 60 percent is cut away. In the second week 40 percent of the remainder is cut away. In the third week the statue is completed when 30 percent of the remainder is cut away. What is the weight of the final statue?
Choices:
24 kg
28 kg
25 kg
27 kg
Answer: A
Question: A library has an average of 510 visitors on sundays and 240 on other days . The avearge number of visitors per day in a month of 30 days beginning with a sunday is?
Choices:
225
285
315
374
Answer: B
Question: a number divided by 24 leaves remainder 56 what is the remainder when same number divided by 7
Choices:
7
5
3
1
Answer: C
Question: If three sides of the triangle are 8 , 15 and A respectively then the how many values can A ?
Choices:
[B] 7
[C] 8
[D]9
[E] infinite number of values
Answer: C
Question: In a paper factory 150 samples of sheets of paper were taken from a machine and checked for quality. Of these 150 samples, it was found that 3 sheets of paper were defective. If 500 bundles (10,000 sheets of paper per bundle) were produced by this machine, what is the approximate number of sheets of paper defective?
Choices:
10,000
1,250
1,500
100,000
Answer: D
Question: Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is
Choices:
1.967
2.388
3.388
2.382
Answer: A
Question: Total of the ages of A, B ahd C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2:
3. What is the age of B at present
Choices:
30
45
60
65
Answer: A
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 40% profit?
Choices:
960
896
266
121
Answer: B
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Choices:
18 cm
22 cm
24 cm
26 cm
Answer: A
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Choices:
32
6
78
81
Answer: A
Question: There is a sequence ni such, in which i is a positive integer, ni+1=2ni.
If n1=1, n2=2, n3=4, n4=8, what is the scope including n61?
Choices:
1,000~10,000
10,000~100,000
100,000~1,000,000
1,000,000,000,000,000,000~
Answer: D
Question: Forks, Spoons, and Knives in drawer are in the ratio of 4: 4 : 3. If there are 16 Forks, the number of Knives in the drawer is:
Choices:
4
12
16
14
Answer: B
Question: The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
Choices:
2
4
6
5
Answer: C
Question: Bobby bought 2 shares, and which he sold for $124 each. If he had a profit of 40% on the sale of one of the shares but a loss of 17% on the sale of the other share, then on the sale of both shares Bobby had...
Choices:
a profit of 10
a loss of 8
a loss of 10
neither a profit nor a loss
Answer: A
Question: Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald carries a total of 42 notes (of either $10 or €10,) then what is the total number of notes (of either $10 or €10,) they take?
Choices:
80
100
140
150
Answer: C
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 30% goods during theft. His loss percent is:
Choices:
23%
32%
12%
22%
Answer: A
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Choices:
9977
4312
2976
26612
Answer: B
Question: If 2|2 –s| = 5, what is the sum of all the possible values for s ?
Choices:
2
5/2
4
5
Answer: C
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
65 sec
25 sec
45 sec
24 sec
Answer: B
Question: If x is a number such that x^2 + 4x - 5 = 0 and x^2 + x - 20 = 0, then x =
Choices:
-4
4
-5
5
Answer: C
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88 km
2.78 km
2.98 km
2.87 km
Answer: A
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 18m/h. what is the speed of the person while he was going to his office?
Choices:
9km/h
10km/h
11km/h
12km/h
Answer: D
Question: In the Hillside summer camp there are 50 kids. 90% of the kids are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of kids in the camp. How many more boys must she bring to make that happen?
Choices:
50.
40.
30.
25.
Answer: A
Question: A dealer purchased toys at 1/2 of their list price and sold them for 10% more than the list price. What is his percent gain?
Choices:
50
110
120
220
Answer: C
Question: A man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.
Choices:
62 kmph
52 kmph
50 kmph
None of these
Answer: A
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 550 dollars, and, in a third, loses 120. In the end he finds he has gained 300 dollars, by the three together. How much did he gain or lose bv the first ?
Choices:
-130
130
-80
None
Answer: A
Question: The ratio between x and y is 7/9; x is increased by 4 and y is decreased by 4, what is the ratio between the new values of x and y?
Choices:
14/9
7/18
11/13
It Cannot Be Determined
Answer: D
Question: There is rain all over the city at a rate of 7 centimeters per hour. If a person is waiting in his house for the rain to stop how long did he wait to go out. The rain water filled a bucket of 28 centimeters depth and 200 square meters area?
Choices:
6 hours
4 hours
8 hours
12 hours
Answer: B
Question: 16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
Choices:
27
20
27
11
Answer: B
Question: in a soap company a soap is manufactured with 11 parts.for making one soap you will get 1 part as scrap.at the end of the day you have 251 such scraps.from that how many soaps can be manufactured?
Choices:
25
26
27
28
Answer: A
Question: The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 82, and the average of the female students’ grades was 92, how many female students took the test?
Choices:
9
10
21
32
Answer: D
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
4.5
5.6
6.5
None
Answer: B
Question: If the function f(x) is defined for all real numbers x as the maximum value of 2x + 2 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 2 ?
Choices:
–8
–11
–13
–19
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50 km/hr
54 km/hr
55 km/hr
58 km/hr
Answer: A
Question: The average (arithmetic mean) of eight numbers is 48.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Choices:
24.2
56.6
72.1
96.8
Answer: B
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
Choices:
9%loss
8%loss
5%loss
1%loss
Answer: A
Question: How many possible ways can 2 girls (Rebecca, Kate, Ashley) go on a date with 3 boys (Peter, Kyle, Sam)?
Choices:
4
5
6
8
Answer: C
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choices:
4400
4200
5000
5500
Answer: A
Question: If a - b = 3, a^2 + b^2 = 29 ,find the value of ab.
Choices:
10
15
18
19
Answer: A
Question: On a sum of money, the simple interest for 2 years is Rs. 660,while the compound interest is Rs.696.30,the rate of interest being the same in both the cases. The rate of interest is
Choices:
11
378
36
29
Answer: A
Question: Walking at 6/7th of his usual speed, a man is 25 mins too late. His usual time is
Choices:
1.5 hrs
2.5 hrs
1.67 hrs
2.67 hrs
Answer: B
Question: A shop purchased a pair of shoes for $150 and was selling it at a price that equaled the purchase price of the shoes plus a markup that was 25 percent of the selling price. After some time a shop owner decided to decrease the selling price by 20 percent. What was the shop's gross profit on this sale?
Choices:
$2
$10
$6
$8
Answer: B
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
21/115
11/154
None of these
Answer: A
Question: What is the sum of all the odd numbers between 24 and 50, inclusive?
Choices:
481
330
475
483
Answer: A
Question: A shipment of 8 TV sets contains 5 black and white sets and 3 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
Choices:
1/4
5/14
25/28
13/28
Answer: C
Question: What approximate value should come in place of the question mark (?) in the following equation?
1.542 × 2408.69 + 5134.632 = ?
Choices:
4800
5200
6400
8800
Answer: D
Question: In a contest, a bowl contains 9 keys, one of which will open a treasure chest and eight of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Ram is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that he wins the prize?
Choices:
2/9
15/4
16/15
None
Answer: A
Question: Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 5. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
Choices:
(8m-15)/[m(m-5)]
(10m-15)/[m(m-5)]
(4m-15)/[m(m-5)]
(12m-15)/[m(m-5)]
Answer: C
Question: The average of five numbers is 20. If one number is excluded, the average becomes 18. The excluded number is?
Choices:
28
32
40
16
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Choices:
Rs.24000
Rs.24038
Rs.24082
Rs.24026
Answer: A
Question: An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Choices:
150
100
80
50
Answer: D
Question: At the Widget factory, 20 percent of the employees are engineers and 50 percent are builders. If there are 57 other employees at the Widget factory, how many total employees work there?
Choices:
190
160
200
400
Answer: A
Question: The value of P, when 4864 x 9P2 is divisible by 12, is:
Choices:
5
8
9
None of these
Answer: D
Question: A can do a piece of work in 80 days. He works at it for 10 days & then B alone
finishes the remaining work in 42 days. In how much time will A and B, working
together, finish the work?
Choices:
30
150
41
50
Answer: A
Question: If x, y, and z are positive integers and x^2 = y^2 + z^2, which of the following must be true?
I. x > z
II. x = y + z
III. y^2 + z^2 is a positive integer
Choices:
II only
III only
I and II only
I and III only
Answer: D
Question: What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 11 nor by 35?
Choices:
884
892
910
945
Answer: A
Question: If 8 men or 12 women can do a piece of work in 30 days, in how many days can the same work be done by 6 men and 11 women?
Choices:
11 days
13 days
15 days
18 days
Answer: D
Question: Of a set of 30 numbers, average of 1st 10 numbers is equal to average of last 20 numbers. The sum of last 20 numbers is?
Choices:
2 x sum of 1st 10 numbers
2 x sum of 1st 30 numbers
2 x sum of 1st 20 numbers
6 x sum of 1st 10 numbers
Answer: A
Question: The product of the squares of two positive integers is 100. How many pairs of positive integers satisfy this condition?
Choices:
1
2
3
4
Answer: B
Question: What is the sum of 60 consecutive integers from -30 inclusive, in a increasing order?
Choices:
29
-30
30
60
Answer: B
Question: A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 156 pounds?
Choices:
18
12
9
none of the above
Answer: A
Question: John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Choices:
16.66%
18%
21%
40%
Answer: D
Question: Which of the following fractions can be written as the difference of reciprocals of two consecutive integers
Choices:
1/20
1/45
13/56
12/72
Answer: A
Question: What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
Choices:
630
680
780
960
Answer: A
Question: The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.
Choices:
120 degrees
45 degrees
50 degrees
None of these
Answer: C
Question: A pet groomer has 7 animals to groom for the day (2 cats and 5 dogs). If she randomly selects 4 animals to groom before lunch, what is the probability she will finish all the cats before lunch?
Choices:
2/7
12/13
5/11
4/7
Answer: A
Question: A river 5m deep and 19 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
Choices:
6333
6576
6345
2882
Answer: A
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
Choices:
$11,200
$12,000
$12,800
$13,200
Answer: D
Question: What is the are of an equilateral triangle of side 10 cm?
Choices:
25√3
15√3
30√3
35√3
Answer: A
Question: Two trains are traveling from point A to point B such that the speed of first train is 65 kmph and the speed of 2 train is 29 kmph. Where is the distance b/w A and B such that the slower train reached 5 hrs late compared to the faster?
Choices:
65
9
5
31
Answer: A
Question: If m is the average (arithmetic mean) of the first 10 positive multiples of 3 and if M is the median of the first 10 positive multiples of 3, what is the value of M – m ?
Choices:
5
0
25
27.5
Answer: B
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?
Choices:
16hours
17 hours
18 hours
None of these
Answer: B
Question: If 625^(-x) + 25^(-2x) + 5^(-4x) = 10, what is the value of x?
Choices:
-1/4
0
1/4
4
Answer: B
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 9/8 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
(b) 7/15
(c) 10/21
(d) 17/35
(e) 3/7
Answer: D
Question: If a new town has 200 residents, and the population doubles every 10 years, what will be its population after 75 years?
Choices:
9051 residents
12068 residents
36204 residents
18102 residents
Answer: C
Question: Susan weighs 7 pounds more than Anna does, and together they weigh a total of 127 pounds. Which of the following represents Anna’s weight in pounds?
Choices:
58
62
63
60
Answer: D
Question: Jim drove 923 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Choices:
277 miles
456miles
887 miles
767 miles
Answer: A
Question: An uneducated retailer marks all his goods at 65% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
Choices:
13.50 %
14 %
23.75%
None
Answer: C
Question: Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 210 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day?
Choices:
$ 1.64
$ 2.25
$ 2.50
$ 3.25
Answer: A
Question: A man gains 10% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
Choices:
120%
150%
160%
170%
Answer: A
Question: How many odd prime numbers are there less than 150?
Choices:
34
44
54
64
Answer: A
Question: A can run 4 times as fast as B and gives B a start of 69 m. How long should the race course be so that A and B might reach in the same time?
Choices:
60 m
80 m
65 m
92 m
Answer: D