antoine-444/aqua_rat_dataset huggingface dataset:
Question: If 6x = 10y = 14z, then what is a possible sum of positive integers x, y, and z?
Choices:
213
84
122
168
Answer: A
Question: In an examination 30% failed in Math and 70% failed in French. If 20% failed in both. What % of students passed in both.
Choices:
15%
20%
30%
10%
Answer: B
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
88
76
54
Answer: A
Question: Winchard's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Winchard's average score on the 5 tests to be 80?
Choices:
82
84
86
88
Answer: D
Question: Should a total ban be put on traping wild animals?
Arguments:
1. Yes. Trappers are making a lot of money
2. No. Bans on hunting and trapping are not effective
Choices:
Only 2 is true
Either 1 or 2 is true
Neither 1 or 2 is true
Either 1 or 6 is true
Answer: C
Question: In one hour, a boat goes 11 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: B
Question: Find the odd man out. 13, 16, 12, 24, 12, 34, 46
Choices:
46
24
13
18
Answer: C
Question: the two sides of a triangle are 32 and 68. the area is 960 sq.cm. find the third side of triangle?
Choices:
50
60
70
80
Answer: B
Question: The ratio between the perimeter and the width of a rectangle is 5:1. If the area of the rectangle is 54 square centimeters, what is the length of the rectangle in centimeters?
Choices:
7
8
9
10
Answer: C
Question: Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
Choices:
100 min
167 min
367 min
178 min
Answer: A
Question: The grade point average of the entire class is 85. If the average of one third of the class is 97, what is the average of the rest of the class?
Choices:
77
78
79
80
Answer: C
Question: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
Choices:
876
440
157
452
Answer: B
Question: A and B starts a business with Rs.8000 each, and after 8 months, B withdraws half of his capital . How should they share the profits at the end of the 10 months?
Choices:
18:13
18:10
18:14
14:11
Answer: A
Question: A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 40 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?
Choices:
40
50
51
52
Answer: A
Question: A real number x satisfying 1- (1/n) ≤ 3 + (1/n), for every positive integer n, is best described by ≤
Choices:
1 < x ≤ 3
0 < x ≤4
1 ≤ x ≤ 3
None of these
Answer: B
Question: Two locomotives are moving in the same direction at 62 mps and 26 mps. The faster train crosses the slower train in 8 seconds. What is the length of the faster train in meters?
Choices:
316 m
194 m
270 m
288 m
Answer: D
Question: In a six-sided polygon CQRSTV ∠C measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠C equal to, in degrees?
Choices:
80
88
96
104
Answer: A
Question: There are 3 sections with 5 questions each. If three questions are selected from each section, the chance of getting different questions is________
Choices:
100
1000
10000
6000
Answer: B
Question: An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 48$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold?
Choices:
75
92
100
184
Answer: C
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 18 minutes. The waste pipe can empty the full cistern in?
Choices:
7 min
9 min
12 min
15 min
Answer: B
Question: The triplicate ratio of 1:2 is?
Choices:
1:8
1:3
1:4
1:1
Answer: A
Question: The number of sequences in which 5 players can throw a ball, so that the youngest player may not be the last is ?
Choices:
96
8
62
10
Answer: A
Question: If x is an integer, which of the following must also be an integer?
I. xy
II. y/x
III. y
Choices:
II alone
III alone
I and III
None of the above
Answer: C
Question: If x^2 – 2y^2 = 2xy, then (x - y)^2 =
Choices:
3x^2
4xy
3y^2
– y^2
Answer: C
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5
4/8
4/1
4/2
Answer: A
Question: if
21=3
32=7
82=22
92=25
than
72=?
Choices:
19
21
23
25
Answer: A
Question: A van takes 6 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
70 Kmph
80 Kmph
20 Kmph
Answer: D
Question: Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 20%, 40% and 10% savings. Assuming that they operate independently, what is the net saving achieved?
Choices:
56.8%
62.2%
68%
61%
Answer: A
Question: You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 5 baseball cards. How many baseball cards do you have at the end?
Choices:
11
13
14
15
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 10 seconds. If the speed of the train is 36 km/hr, what is the length of the platform?
Choices:
60
287
267
191
Answer: A
Question: In how many ways can the letters of the word INTELLIGENCE be arranged?
Choices:
2500
200067
9979200
3420456
Answer: C
Question: A certain list of 300 test scores has an arithmetic mean of 70 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d?
Choices:
70 and 70
70 and 75
75 and 75
70 and 80
Answer: A
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Choices:
2880.
5780
5760
6380.
Answer: A
Question: Mike had 200 watermelons. Sally came over and took some. After Sally left mike had 136 watermelons. How many watermelons did Sally take?
Choices:
87
264
5
64
Answer: D
Question: You have a pair of unbiased dices. You throw them together till you get a sum of 4 or 7.
What is the probability that you get a sum of 4 before the sum of 7?
Choices:
5/7
2/8
3/7
2/5
Answer: D
Question: How many 3 digit positive integers T exist that when divided by 7 leave a remainder of 5?
Choices:
142
143
141
129
Answer: D
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:2
3:1
3:6
Answer: A
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 30 percent of the drive from the center, what percent of the round-trip has the technician completed?
Choices:
65
55
50
55
Answer: A
Question: A shopkeeper sold 15 articles at the cost price of 20 articles. Then find the profit% or lost%
Choices:
31%
20%
33.33%
40%
Answer: C
Question: the stock price of xyz inc. has suffered a decline of 18% in the last 6 months. Financial Analysts believe that the shares will bounce back and gain 5% in the next 3 months. this gain will bring the share value to $700. What was the approximate price of the stock 6 months ago?
Choices:
750
760
900
813
Answer: D
Question: The number of permutations of the letters of the word 'MESMERISE' is?
Choices:
9!/(2!)2 3!
9!/(2!)9 3!
9!/(2!)2 8!
9!/(2!)1 3!
Answer: A
Question: The mean age of john,william,sam and katy is 25.the age of jhon is 22,age of sam is 30 and age of katy is 24.then tell me the age of william.
Choices:
24
25
26
27
Answer: A
Question: Q-1) Of the 64 parents who attended a meeting at a
school, 35 volunteered to supervise children during
the school picnic and 11 volunteered both to supervise
children during the picnic and to bring refreshments to
the picnic. If the number of parents who volunteered
to bring refreshments was 1.5 times the number of
parents who neither volunteered to supervise children
during the picnic nor volunteered to bring
refreshments, how many of the parents volunteered to
bring refreshments?
Choices:
24
38
42
45
Answer: A
Question: A customer pays 70 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
40
90
60
20
Answer: B
Question: Fresh grapes contain 70% by weight while dried grapes contain 10% water by weight. What is the weight of dry grapes available from 100 kg of fresh grapes?
Choices:
21.50 kg
25.00 kg
33.33 kg
40.39 kg
Answer: C
Question: The area of a triangle is with base 2m and height3m?
Choices:
10
787
3
12
Answer: C
Question: It costs $6 for the first 1/4 hour to use the copier at Kinkos. After the first ¼ hour it costs $8 per hour. If a certain customer uses the copier for 4 hours and 25 minutes, how much will it cost him?
Choices:
$65.33
$40
$38.27
$39.33
Answer: D
Question: A merchant purchased a jacket for $56 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:
$8
$4
$12
$15
Answer: A
Question: An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 2 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?
Choices:
12:11
17:15
22:17
27:25
Answer: D
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
387
698
377
212
Answer: B
Question: Sum of the squares of 3 no. is 149 and the sum of their products taken two at a time is 70. Find the sum?
Choices:
17
21
13
18
Answer: A
Question: A wheel that has 8 cogs is meshed with a larger wheel of 16 cogs. When the smaller wheel has made 24 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
11
15
14
12
Answer: D
Question: Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 40 and the turban. Find the price of the turban.
Choices:
36
29
10
110
Answer: D
Question: If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above?
A.
B.
C.
D.
E.
Choices:
(4,−4)
(5,−5)
(2,−2)
(−4,4)
Answer: B
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150 cm2
127 cm2
177 cm2
187 cm2
Answer: A
Question: If x and y are integers, what is the least positive number of 24x+16y?
Choices:
4
5
6
8
Answer: D
Question: A certain company reported that the revenue on sales increased 15 % from 2000 to 2003, and increased 30 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Choices:
40 %
35 %
32 %
13 %
Answer: D
Question: What is the greatest prime factor of 1+2+3+。。。+70?
Choices:
71
31
59
101
Answer: A
Question: A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability Y that you can still row the canoe?
Choices:
10/25
6/10
2/3
21/25
Answer: D
Question: How many three digit numbers can be formed using the digits {1, 3, 4, 5, 7,8, 9}(repetition of digits is not allowed)?
Choices:
210
278
279
274
Answer: A
Question: For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 58 units per day, what is the value of n ?
Choices:
18
10
9
4
Answer: D
Question: A certain auto manufacturer sold 4% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.4 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
21,00,000
23,00,000
23,90,000
24,00,000
Answer: B
Question: A customer pays 30 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
A)$50
C)$70
D)$80
E)$90
Answer: A
Question: Which number need to add to 859622 to get a number exactly divisible by 456?
Choices:
435390
656899
675668
859622
Answer: D
Question: In a dairy farm, 20 cows eat 20 bags of husk in 20 days. In how many days one cow will eat one bag of husk?
Choices:
40
20
26
30
Answer: B
Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choices:
28 days
16 days
18 days
19 days
Answer: A
Question: Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer W between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
Choices:
15
17
W=18
20
Answer: C
Question: The average of first five prime numbers greater than 20 is?
Choices:
32.2
32.3
32.8
32.4
Answer: A
Question: An eccentric casino owner decides that his casino should only use chips in $4 and $7 denominations. Which of the following amount cannot be paid out using these chips?
Choices:
$29
$28
$25
$21
Answer: B
Question: On a two-dimensional coordinate plane, the line q = x^2 - x^3 touches the x-axis in how many places?
Choices:
1
2
3
4
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Choices:
278
300
279
150
Answer: B
Question: There are 5,260 feet in 1 mile and 12 inches in one foot. How many inches are in a mile?
Choices:
5,280/12
12(5,260)
12^2(5,280)
12/5,280
Answer: B
Question: The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 12.5 percent, what was the annual interest rate last year?
Choices:
1.1%
9.1%
11.36%
10.8%
Answer: C
Question: If (c-5)(y+2) = 0 which of the following must be true?
Choices:
c > y
c < y
cy = -10
None of the above
Answer: D
Question: Find the nest term in series ?
25 16 9 4 1 0 ?
Choices:
1
2
3
4
Answer: A
Question: A man can row upstream at 30 kmph and downstream at 60 kmph, and then find the speed of the man in still water?
Choices:
29
30
20
45
Answer: D
Question: The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is
Choices:
25 cm
35 cm
42 cm
None of these
Answer: B
Question: If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Choices:
33 1/3%
60%
66 2/3%
None of these
Answer: B
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Choices:
240
250
260
480
Answer: D
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
19 days
10 days
16 days
12 days
Answer: B
Question: In a recent election, Ms. Robbins received 7,200 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
Choices:
0.1N + 7,200
0.06N + 7,200
0.1N + 8,000
0.06N + 8,000
Answer: B
Question: Look at this series: 53, 53, 48, 48, 43, 43, ... What number should come next?
Choices:
B)14
C)38
D)53
E)86
Answer: B
Question: A worker is paid x rupees for painting every 20 metres of a wall and y rupees for painting every extra metre. During one week, he painted 20 metres on Monday, 22 metres on Tuesday, 24 metres on Wednesday, 26 metres on Thursday and 28 metres on Friday. What is his average daily earning rupees for the five day week?
Choices:
(5x + 9y)/5
x+4y
None of these
Cannot be determined
Answer: B
Question: How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 3 can be used only once?
Choices:
150
225
250
316
Answer: D
Question: In a hostel there were 100 students. To accommodate 25 more students the average is decreased by some rupees. But total expenditure increased by Rs.500. If the total expenditure of the hostel now 8500, find decrease of average budget?
Choices:
15
12
18
24
Answer: B
Question: If a man lost 10% by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 32%?
Choices:
14.36
15.85
12.27
11.25
Answer: C
Question: The owner of a local jewelry store hired four watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/5 of the diamonds he had then, and 4 more besides. He escaped with three diamonds. How many did he steal originally?
Choices:
4995
2595
None of these
Cannot be determined
Answer: A
Question: An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 21 as commission, the cloth sold through him on that day is worth
Choices:
500
840
299
132
Answer: B
Question: (3 x 10^2) + (2 x 10) + 4 =
Choices:
32400
30240
3240
324
Answer: D
Question: A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and peanuts at 3
for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three
children. What did each child get?
Choices:
1 2 1
1 2 3
1 2 4
2 2 1
Answer: A
Question: 8, 12, 18, 27, 40.5, (...)
Choices:
60.75
60.9
30.79
20.5
Answer: A
Question: In a series of six consecutive odd numbers, the sum of the third and fifth numbers is 50. What are the third and fifth number respectively?
Choices:
31,35
21,25
23,27
25,29
Answer: C
Question: The speed of a boat in still water in 20 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:
Choices:
10.2
9.8
9.6
10.0
Answer: C
Question: 14 men can complete a piece of work in 32 days. In how many days can 16 men complete that piece of work?
Choices:
27 3/4
20 1/2
27 1/2
11
Answer: C
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ?
Choices:
40 days
46 days
50 days
None of these
Answer: A
Question: I have 20 rupees. I bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamp(s) I have.
Choices:
10
11
12
13
Answer: A
Question: A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 50 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period?
Choices:
89
95
77.27
97.2
Answer: C
Question: If a 10 lit. mixture contains milk and water in the ratio 2:1 then, how much more mixture should be added to change the ratio to 1:2 ?
Choices:
10 liters of water
10 liters of milk
20 liters of water
20 liters of milk
Answer: A
Question: How many four letter combinations can be formed using the letters of the word TRIPS?
Choices:
24
120
240
300
Answer: B
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $65,000. 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:
$33,000
$12,000
$12,800
$13,200
Answer: A
Question: Andy has 20 pairs of matched gloves. If he loses 14 individual gloves, which of the following is NOT a possible number of matched pairs he has left?
Choices:
11
13
14
15
Answer: C
Question: Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 45 percent of the total number of employees work in research, how many male employees do NOT work in research?
Choices:
238
392
208
88
Answer: A
Question: Which is the middle even number between 12 and 24?
Choices:
36
42
8
19
Answer: D
Question: Ten percent of Ram's monthly salary is equal to eight percent of Shyam's monthly salary. Shyam's monthly salary is twice Abhinav's monthly salary. If Abhinav's annual salary is Rs. 1.92 lakhs, find Ram's monthly salary?
Choices:
Rs. 20000
Rs. 25600
Rs. 32000
None of these
Answer: B
Question: A box contains five bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?
Choices:
1/6
369/625
1/5
4/5
Answer: B
Question: In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (-1, 0), (7, 4), and (7, -4)?
Choices:
30
31
32
33
Answer: C
Question: The "factor count" of an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest?
Choices:
60
62
63
64
Answer: A
Question: A bag contains 80 black balls and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
5/7
1/9
1/4
1/3
Answer: B
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 45 years, was replaced by a new person. Find the age of the new person?
Choices:
56
12
15
14
Answer: C
Question: Find out the wrong term in the series 2, 5, 10, 50, 500, 5000
Choices:
5000
6777
2892
2881
Answer: A
Question: A reduction of 10% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
s.46
s.40
s.41
s.16
Answer: D
Question: How many positive integers less than 248 are multiple of 4 but NOT multiples of 6?
Choices:
41
42
53
64
Answer: A
Question: How many two-digit numbers yield a remainder of 3 when divided by both 4 and 14?
Choices:
1
2
3
4
Answer: C
Question: If 25 toys cost Rs, 234, what do 35 toys cost?
Choices:
327.6
546.6
654.6
None of them
Answer: A
Question: A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction X of the selected films are in color?
Choices:
1/5
3/13
10/13
30/31
Answer: D
Question: The average age of a husband, wife and their child 2 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Choices:
28.5 years
16.4 years
15.6 years
14.2 years
Answer: A
Question: In how many different number of ways a Committee of 3 person of can be selected from 5 men and 3 women such that atleast 1 women is included in the committee?
Choices:
40
42
46
49
Answer: C
Question: Which of the following fractions is smaller than 17/50?
Choices:
11/34
43/99
8/21
9/20
Answer: A
Question: If x is a positive integer, and two sides of a certain triangle have lengths 30 and 45 respectively, which of the following could be the length of the third side of the triangle?
I. 45
II. 75
III. 145
Choices:
I only
I and II only
II and III only
I, II and III
Answer: A
Question: If 3x - 3x-1 = 18, then the value of xx is
Choices:
8
27
36
NOne
Answer: B
Question: On day one, a store sold 96 pens. On each of the next d days, the company sold 44 pens. If the average daily sales of pens over this time period (including day one) is 48 pens, what is the value of d?
Choices:
10
11
12
13
Answer: C
Question: 4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8.
What is half of that number?
Choices:
315
345
325
335
Answer: A
Question: A man can row upstream at 25 kmph and downstream at 39 kmph, and then find the speed of the man in still water?
Choices:
37
32
27
18
Answer: B
Question: Tom, Mary and Sue each wrote an essay for their English class. Together, the three of them wrote a total of 650 pages. Mary and Sue wrote a total of 450 pages together, and Mary and Tom wrote a total of 350 pages together. How many pages did Mary write by herself?
Choices:
250
150
300
350
Answer: B
Question: In a rectangular coordinate system, points O (2,2), P (2,12), and Q (10,2) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Choices:
(8,7)
(5,8)
(6,6)
(6,7)
Answer: D
Question: The perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm. What is the area of the triangle?
Choices:
36.0 cm2
105 cm2
25 cm2
135 cm2
Answer: B
Question: During a clearance sale, a retailer discounted the original price of its TVs by 21% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
Choices:
45%
55%
60%
63.5%
Answer: D
Question: How many three digit numbers are there which are equal to 3434 times the sum of their digits?
Choices:
4
6
7
8
Answer: A
Question: The perimeter of a square is 36 m. Find the area of the square.
Choices:
81 mÂ².
86 mÂ².
169 mÂ².
273 mÂ².
Answer: A
Question: Of 30 applicants for a j ob, 14 had at least 4 years of exper, 18 had degrees, and 3 had less than 4 years exper and did not have a degree, how many applicants had at least 4 years exper and a degree?
Choices:
b)13
c)9
d)7
e)5
Answer: D
Question: If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction?
Choices:
1/12
1/19
1/16
1/11
Answer: A
Question: The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m, find out the area of the field.
Choices:
37500
38500
39000
39500
Answer: A
Question: Last year, for every 100 million vehicles that traveled on a certain highway, 75 vehicles were involved in accidents. If 6 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
4500
3500
4000
1300
Answer: A
Question: Find the area, diameter = 9 m.
Choices:
63.64 square meter
63.08 square meter
63.24 square meter
63.43 square meter
Answer: A
Question: Find the next number in the sequence
1, 2, 6, 21, 88, __?
Choices:
234
445
345
678
Answer: B
Question: Two trains A and B start simultaneously in the opposite direction from two points A and B arrive at their destinations 9 and 4 hours respectively after their meeting each other. At what rate dose the second train B travels if the first train travels at 80 km per hour. Option
Choices:
100 km/h
120 km/h
80 km/h
90 km/h
Answer: B
Question: 0.004 × 0.5 = ?
Choices:
0.02
0.002
0.0002
2
Answer: B
Question: Statement : All the organised persons find time for rest. Sunita, in-spite of her busy schedule, finds time for rest.
Conclusions :
I. Sunita is an organised person.
II. Sunita is an industrious person.
Choices:
II only
I and II only
I and III only
II and III only
Answer: C
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?
Choices:
704
709
705
701
Answer: A
Question: Line Q has the equation 5y – 3x = 60. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)
Choices:
40
45
50
55
Answer: B
Question: In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 7 women?
Choices:
A)84
C)20
D)18
E)21
Answer: A
Question: If 5x = 6y and xy ≠ 0, what is the ratio of 1/4*x to 1/6*y ?
Choices:
36/25
9/5
5/6
25/36
Answer: B
Question: 15 girls can complete a rangoli in 12 days, and 10 boys can complete the same work in 15 days. To complete the work earlier 10 boys and 15 girls are employed, in how many days will this work get completed?
Choices:
7
6.5
6 2/3
6 1/4
Answer: C
Question: Health insurance Plan P requires the insured person to pay $600 but then the insurance pays 80% of the cost over $600. Plan Q requires the insured to pay the initial $300, but then pays 60% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choices:
$1500
$1800
$2100
$2400
Answer: A
Question: The third proportional to 2 and 4 is?
Choices:
8
4
5
3
Answer: A
Question: What is the perimeter of a square with area 9p^2/16 ?
Choices:
3p^2/4
3p
3p^2
4p/3
Answer: B
Question: A and B invests Rs.3000 and Rs.6000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
3:8
3:1
9:9
3:4
Answer: D
Question: 4,25,49,
Choices:
169
189
209
121
Answer: D
Question: Calculate the share of profit of 15000 received by Edgar who is the working partner in a business. Edgar invested 22000 in the business while his partner, Eli invested 34000.A is a working partner and B is a sleeping partner in a business. Edgar receives 12% for managing the business, and the rest is divided in proportion to their capitals.
Choices:
5985.7
6785.7
6985.7
5985.7
Answer: C
Question: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
Choices:
12000
12002
12289
12019
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is?
Choices:
195
160
170
180
Answer: A
Question: At 30 minutes past 7 o'clock, what is the angle between the two hands?
Choices:
30
45
60
75
Answer: B
Question: 7, 21, 63, 189, 567, ?
Choices:
1609
1307
1701
1801
Answer: C
Question: Cole drove from home to work at an average speed of 70 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Choices:
70
72
75
78
Answer: B
Question: A train 200 m long running at 54 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
175
350
277
232
Answer: A
Question: If the sides of a square are multiplied by sqrt(2), the area of the original square is how many times as large as the area of the resultant square?
Choices:
4%
50%
100%
200%
Answer: B
Question: if a@b = a * b^(1/2) then 1@9 = ?
self made
Choices:
6
3
8
4
Answer: B
Question: The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1620 in revenue from the sales. How many orchestra tickets did they sell?
Choices:
30
35
40
45
Answer: A
Question: Mohit sold an article for $18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
25000
15000
18000
17000
Answer: B
Question: If a certain number when divided by the numbers 5,3,2 one after other successively, leaves a remainder 0,2,1 Then what will be the remainders if it is divided by the numbers 2,3,5
Choices:
1,2,0
1,2,2
1,2,3
1,2,4
Answer: A
Question: A can finish a work in 48days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
Choices:
12days
6days
20days
8days
Answer: C
Question: Two trains 141 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.59
7.12
7.15
7.11
Answer: A
Question: Diane find 4 cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
Choices:
7 and a half
10
12 and a half
20
Answer: D
Question: A certain collage has total of 500 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
Choices:
105
75
60
50
Answer: A
Question: A polling company reports that there is a 70% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?
Choices:
14
6
4
5
Answer: A
Question: Find the value of (20C18)*(20C20)
Choices:
380
360
350
330
Answer: A
Question: A contractor undertook to do a piece of work in 18 days. He employed certain number of laboures but 9 of them were absent from the very first day and the rest could finish the work in only 6 days. Find the number of men originally employed ?
Choices:
4
4.5
4.2
4.3
Answer: B
Question: A man gains 50% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
Choices:
300%
150%
160%
170%
Answer: A
Question: if 2x + 6y = 18,5x = 10y + 20,what is the value of x?
Choices:
5.5
5
6
4
Answer: C
Question: Average of 13 results is 65. If the average of first six results is 61 and average of last six results is 59 Then find the seventh result?
Choices:
115
125
140
145
Answer: B
Question: Little Johny went to the toy shop and spent one half of the money that was in his wallet.
When he came out, he found that he had as many paise as he had rupees and half as many rupees as he had paise when he went in. Find the money in his wallet when he entered the store.
Choices:
97.98
90.98
99.9
99.98
Answer: D
Question: A train passes a station platform in 20 sec and a man standing on the platform in 12 sec. If the speed of the train is 72 km/hr. What is the length of the platform?
Choices:
140
160
120
171
Answer: B
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Choices:
1 hours
7 hours
4 hours
3 hours
Answer: C
Question: 22 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Choices:
462
412
424
442
Answer: A
Question: The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the width of the rectangle?
Choices:
12 cm
18 cm
20 cm
22 cm
Answer: A
Question: Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
Choices:
14,30
16,32
18,34
19,32
Answer: A
Question: For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 940, what is the maximum possible sum of the length of x and the length of y?
Choices:
22
16
18
20
Answer: B
Question: A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?
Choices:
21 days
88 days
55 days
44 days
Answer: A
Question: Today John is twice as old as Sam and Sam is 2 years younger than Mike. If John, Sam, and Mike are all alive 6 years from today, which of the following must be true on that day. I. John is twice as old as Sam II. Sam is 4 years younger than Mike III. John is older than Mike
Choices:
I,II & III
II
II, III
III
Answer: A
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Choices:
50%
60%
65%
72%
Answer: A
Question: A train 200m long passes a standing man in 20 seconds. What is the speed of the train?
Choices:
36km/hr
42km/hr
50km/hr
32km/hr
Answer: A
Question: If the length of the longest chord of a certain circle is 24, what is the radius of that certain circle?
Choices:
12
10
15
20
Answer: A
Question: If a number R between 0 and 1 is selected at random, which of the following will the number most likely be between?
Choices:
3/20 and 1/5
1/5 and 1/4
1/4 and 3/10
3/10 and 1/2
Answer: D
Question: A man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 25 miles per hour. The woman stops to wait for the man 5 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?
Choices:
20
24
25
28
Answer: A
Question: One fourth of one third of two fifth of a number is 25. What will be40% of that number
Choices:
B)150
C)180
D)200
E)300
Answer: D
Question: In a box there is a number of balls, out of which 1/5 are green, 1/2 are red, 1/10 are pink and the remaining 10 are orange. How many balls are green?
Choices:
10 balls.
12 balls.
50 balls.
15 balls.
Answer: A
Question: The integer W has a tens digit of 6 and a units digit of 7. The units digit of integer y is 8. The product of W and y has a tens digit of 8. Which of the following is a possible tens digit of integer y?
Choices:
4
5
6
7
Answer: B
Question: Three unbased coins are tossed. the probability of getting at most one head two tail is ?
Choices:
7/8
3/4
3/8
2/3
Answer: C
Question: Rahul went to a shop and bought things worth Rs. 75, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
B)29.9
C)39.7
D)69.7
E)99.7
Answer: C
Question: You collect pens. Suppose you start out with 5. Mike gives you another 20 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?
Choices:
40
31
42
43
Answer: B
Question: An Ant is climbing 30 meters tall pole. It climbs 3 meter during the day and slips down 2 meters down during night in sleep, How many days it takes to reach the top of the pole?
Choices:
B - 29
C - 28
D - 27
E - 26
Answer: B
Question: If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 6 other contributions made before john's, what is the size of his donation?
Choices:
$225
$200
$250
$450
Answer: A
Question: Ashok secured average of 74 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
74
78
80
None of these
Answer: A
Question: Set S is given as S = {1,3,5,7,9,11,13,15,17}. In how many ways can three numbers be chosen from Set S such that the sum of those three numbers is 18?
Choices:
zero
two
three
four
Answer: A
Question: HE SUM OF EVEN INTEGERS:
The sum of the even numbers between 1 and k is 79*80, where k is an odd number, then k=?
Choices:
80
81
157
159
Answer: D
Question: Kiran had 85 currency notes in all , some of which were of Rs.100 denaomination and the remaining of Rs.50 denomination the total amount of all these currency note was Rs.5000.how much amount did she have in the denomination of Rs.50?
Choices:
rs.3500
rs.1500
rs.4500
rs.5500
Answer: A
Question: How many liters of water must be evaporated from 50 liters of a 3 percent sugar solution to get a 4 percent sugar solution?
Choices:
12.5
17.5
21.5
24.5
Answer: A
Question: A committee of 4 people is to be selected from 6 people. How many different committees are possible?
Choices:
40
56
D.168
15
Answer: D
Question: A firm has 3 senior partners and 5 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
34
38
42
46
Answer: D
Question: Which of the following fractions is greater than 3/5 and less than 6/7?
Choices:
1/3
2/3
1/3
6/7
Answer: B
Question: 1200 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
Choices:
12.85
12.5
12.24
12.1
Answer: A
Question: I. a3 - 988 = 12,
II. b2 - 51 = 49 to solve both the equations to find the values of a and b?
Choices:
a ≥ b
a < b
a ≤ b
a = b or the relationship between a and b cannot be established.
Answer: A
Question: If w is 40 percent less than r, r is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
Choices:
18%
36%
40%
50%
Answer: D
Question: In My, Xiang sold 15 used cars. For these 15 used cars the range of selling prices was 15,000 and the lowest selling price was 4,500. In June, Xiang sold 10 cars. For these 10 cars the range of selling was 9,000 and the lowest selling price was 6,100. What was the range of selling prices for the 25 used car sold by xiang in May and June?
Choices:
15,600
16,820
18,100
19,200
Answer: A
Question: Two numbers are in the ratio of 1 : 2. If 9 be added to both, their ratio changes to 3 : 5. The greater number is
Choices:
24
28
32
36
Answer: D
Question: X and Y can do job in 25 days and 30 days respectively. They work together for 5 days and then X leaves. Y will finish the rest of the work in how many days?
Choices:
19 days
20 days
21 days
None of these
Answer: A
Question: The present ages of three persons in proportions 2 : 3 : 5. Eight years ago, the sum of their ages was 36. Find their present ages (in years).
Choices:
22, 28, 36
25, 35, 45
12,18,30
of these
Answer: C
Question: Which of the following equations represents a line that is perpendicular to the line described by the equation 3x + 4y = 10?
Choices:
3x – 4y = 20
4y – 3x = 22
1.5y + 2x = 18
8x – 6y = 24
Answer: D
Question: The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 8, 7, 14 and 16. What is the range in the number of years of service of the eight employees?
Choices:
10
12
13
14
Answer: A
Question: A box contains 23 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
Choices:
7/19
12/37
21/95
None
Answer: B
Question: 22.085 Ã— 0.001 = ?
Choices:
2.2085
0.022085
0.0022085
None of these
Answer: B
Question: If four coins are tossed, the probability of getting two heads and two tails is?
Choices:
3/8
6
5
3
Answer: A
Question: Sachin is younger than Rahul by 5 years. If the ratio of their ages is 7:9, find the age of Sachin
Choices:
24.5
24.3
24.9
15.5
Answer: D
Question: A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 1/2 days. How many more days are required to complete the remaining work if they work together?
Choices:
3 (5/16)
3 (5/11)
4 (21/22)
3 (5/21)
Answer: C
Question: A pump can fill a tank with water in 8 hours. Because of a leak, it took 16 hours to fill the tank. The leak can drain all the water in ?
Choices:
16hr
13hr
14hr
16hr
Answer: A
Question: On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
Choices:
2 : 3
2 : 1
1 : 4
2 : 5
Answer: B
Question: If b equals 10% of a and c equals 20% of b, then which one of the following equals 30% of c?
Choices:
0.6%
0.06%
6.0%
None of these
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/19
23/13
23/10
Answer: A
Question: A is the average (arithmetic mean) of the first 7 positive multiples of 8 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
Choices:
12
16
24
32
Answer: B
Question: In a race of length Lmetres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
Choices:
M-N
L-N
(N-M)L / L-M
M+
Answer: C
Question: Lory spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
Choices:
$35
$70
$105
$210
Answer: B
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
35
25
99
21
Answer: A
Question: Dhoni spent 20 percent of his earning last month on rent and 5 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?
Choices:
61%
65%
64%
50%
Answer: A
Question: If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number D of integers that can be negative?
Choices:
3
4
5
6
Answer: C
Question: In the first M games of a team's season, the ratio of the team's wins to its losses was 3:1. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?
Choices:
9:2
1:2
5:4
3:2
Answer: C
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
708 m
706 m
204 m
Answer: A
Question: What will be in the next series
1, 7, 8, 49, 56, 57, 343, ...
Choices:
344
677
297
1291
Answer: A
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector has a central angle of 83.5°, what fraction of the wheel’s area is represented by the smallest sector?
Choices:
3/100
7/240
11/480
13/720
Answer: D
Question: Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio B of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?
Choices:
10 to 7
1 to 5
7 to 10
9 to 10
Answer: C
Question: Which of the following CAN be the least common multiple of two positive integers 2 and 8?
Choices:
5
8
4
2
Answer: B
Question: The average age of three boys is 15 years. If their ages are in the ratio 3:5:7, the age of the youngest boy is :
Choices:
9
7
6
5
Answer: A
Question: How many unique positive odd integers less than 60 are equal to the product of a positive multiple of 5 and an odd number?
Choices:
6
11
12
15
Answer: A
Question: The president of a country and 8 other dignitaries are scheduled to sit in a row on the 9 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 9 people?
Choices:
58720
40320
24080
120
Answer: B