antoine-444/aqua_rat_dataset huggingface dataset:
Question: A box contains 5 green balls, 4 red balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
Choices:
1/4
3/5
1/2
2/5
Answer: B
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
82
90
37
37
Answer: B
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 30 notes (of either $10 or €10,) then what is the total number of notes (of either $10 or €10,) they take?
Choices:
80
100
120
150
Answer: D
Question: An error 1% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Choices:
4.02%
4%
3%
2.01%
Answer: D
Question: A man swims downstream 36 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
2
4
Answer: B
Question: he ratio between the sale price and the cost price of an article is 5:6. What is the ratio between the profit and the cost price of that article?
Choices:
1:8
1:6
2:1
2:5
Answer: B
Question: In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
Choices:
10
18
8
28
Answer: B
Question: The population of a town is 20000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
Choices:
24800
28400
28800
28600
Answer: C
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 21,000. What was Simran's share in the profit?
Choices:
Rs. 10,250
Rs. 9000
Rs. 14,000
None of these
Answer: B
Question: How many three-digit numbers ABC, in which A, B, and C are each digits, satisfy the equation 2B = A + C?
Choices:
36
41
45
50
Answer: C
Question: The price of a cycle is reduced by 25 % The new price is reduced by a further 20 %. The 2reductions together are equalto a single reduction of
Choices:
45
60
56
70
Answer: B
Question: On his first day working out, Anthony did
30 push-ups. On each successive day, he
did exactly 3 more push-ups than on the
previous day. After completing his push-ups
on the 30th day, how many push-ups had
he completed on all 30 days?
Choices:
between 500 and 1,000
between 1,000 and 1,500
between 1,500 and 2,000
more than 2,000
Answer: D
Question: A small college reduced its faculty by approximately 14 percent to 195 professors. What was the original number of faculty members?
Choices:
208
227
254
302
Answer: B
Question: A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 67 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used?
Choices:
20
32
44
48
Answer: B
Question: 21 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:
420
212
224
240
Answer: A
Question: Exactly two sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 4 times and the die lands with a red side up for the first time on the fourth roll?
Choices:
0.01024
0.02
0.03
0.04
Answer: A
Question: In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 45, what is the least possible difference between n and m.
Choices:
b.2
c.5
d.7
e.9
Answer: A
Question: The chance of rain on any given day in Tel-Aviv is 50%. What is the probability Z that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
Choices:
15/64
1/2
1/4
52/64
Answer: A
Question: Seven mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the seven arrange themselves in line such that Frankie’s requirement is satisfied?
Choices:
1820
2320
2420
2520
Answer: D
Question: Which of the following fractions is the largest?
Choices:
7/30
1/45
13/56
1/72
Answer: A
Question: The cost price of 15 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
36 4/11
36 2/14
18 2/16
36 2/12
Answer: A
Question: Find the sum of first 10 odd numbers
Choices:
40
200
100
540
Answer: C
Question: From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a black card and the second card is a king or queen?
Choices:
1/13
1/26
3/26
17/26
Answer: A
Question: For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 190 books with me to gift her.
Can you calculate, on which day is our anniversary?
Choices:
28
19
33
25
Answer: B
Question: Two pipe A and B can fill a empty tank in 1 hour and 75 minute respectively.and there is pipe C for empty.if all three pipe open together in empty tank then tank get fill in 50 minutes.then in how much time pipe C take to empty the full tank?
Choices:
100
80
70
60
Answer: A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
13%
12%
36%
15%
Answer: C
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 42 white marbles. How many red marbles could be in bag A?
Choices:
3
4
10
12
Answer: C
Question: Each student at a certain business school is assigned a 6-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?
Choices:
3,600
2,700
360,000
1,944
Answer: C
Question: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 6480 interest. The principal amount borrowed by him was.
Choices:
Rs 15000
Rs 16000
Rs 18000
None of these
Answer: C
Question: A boat goes 100 km downstream in 10 hours, and 45 m upstream in 15 hours. The speed of the stream is?
Choices:
22 1/4
3 1/2
22 1/1
22 1/3
Answer: B
Question: 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choices:
97
87
90
76
Answer: C
Question: When Sourav increases his speed from 20 Km/hr to 25 Km/hr, he takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by him?
Choices:
100 Km
80 Km
120 Km
60 km
Answer: A
Question: Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45
The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 19 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?
Choices:
6
9
10
20
Answer: C
Question: 360 metres long yard, 31 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
12
14
16
17
Answer: A
Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Choices:
5
8
9
10
Answer: B
Question: Find the value of x from the below equation? : 3x^2+5x+2 = 0
Choices:
-1
-2
2
3
Answer: A
Question: A 360 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ?
Choices:
57.6 sec
31.8 sec
50.4 sec
none of the above
Answer: A
Question: What is the value of: 2^6 + 2^9 ?
Choices:
5(2^6)
2^15
2^84
4^15
Answer: A
Question: Two brothers A and B leave point A and point B simultaneously and travel towards Point B and Point A on the same route at their respective constant speeds. They meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively. How long will B take to cover the entire journey between Point B and point A?
Choices:
70
75
90
80
Answer: C
Question: An enterprising businessman earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:
Choices:
Rs 219
Rs 20²
Rs 20
Rs 30
Answer: A
Question: In the reading room of a library, there are 23 reading spots. Each reading spot
consists of a round table with 9 chairs placed around it. There are some readers such
that in each occupied reading spot there are different numbers of readers. If in all there
are 36 readers, how many reading spots do not have even a single reader?
Choices:
13
14
15
16
Answer: C
Question: A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be
Choices:
12 kmph
14 kmph
17 kmph
19 kmph
Answer: B
Question: How many of the positive factors of 42 , 104 and how many common factors are there in numbers?
Choices:
2
3
5
1
Answer: A
Question: Kim has 8 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 16 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
1/5
1/9
1/10
1/15
Answer: D
Question: 4,8,16,32,....
Choices:
64
61
62
63
Answer: A
Question: Evaluate permutation equation
59P3
Choices:
195053
195054
185054
None of these
Answer: B
Question: A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 65 percent.
Choices:
150
195
160
130
Answer: B
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
Choices:
46
75
77
78
Answer: A
Question: A train running at the speed of 50 km/hr crosses a pole in 18 seconds. Find the length of the train.
Choices:
188
250
288
300
Answer: B
Question: Find the number of factors of 300 excluding 1 and itself.
Choices:
17
16
14
12
Answer: B
Question: The average marks of a class of 35 students is 45 and that of another class of 55 students is 65. Find the average marks of all the students?
Choices:
52.4
52.1
57
52.9
Answer: C
Question: The average of five results is 46 and that of the first four is 45. The fifth result is?
Choices:
27
21
50
23
Answer: C
Question: Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 9 hours. How long would it take for both hoses to fill up two-thirds of the pool?
Choices:
5/8 hours
8/5 hours
12/7 hours
12/5 hours
Answer: D
Question: The smallest ratio out of 1:1, 2:1, 1:3,4:1 and 3:1 is?
Choices:
1:3
2:1
3:1
4:1
Answer: A
Question: The area of a square is 4489 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Choices:
5:19
5:12
5:13
43:134
Answer: D
Question: 5^2*2^2*5*2^4 =
Choices:
2^9*3^4
2^4*3^9
5^8
6^10
Answer: D
Question: A can complete a project in 10 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Choices:
15 days
26.67 days
16 days
12 days
Answer: A
Question: A and B go around a circular track of length 1500 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
165 sec
300 sec
167 sec
168 sec
Answer: B
Question: In a country there are 2 hospitals for every 1000 citizens. If there are 50,000 citizens, how many hospitals are there in that country?
Choices:
100
60
75
80
Answer: A
Question: A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
Choices:
7
8
9
3
Answer: A
Question: A student has to obtain 35% of the total marks to pass. He got 100 marks and failed by 40 marks. The maximum marks are?
Choices:
400
420
480
520
Answer: A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $24. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
216/(xy)
20xy
20xy/9
xy/180
Answer: A
Question: What is the remainder when 3^86 is divided by 5 ?
Choices:
2
4
0
3
Answer: B
Question: ‘A’ completes a work in 12 days. ‘B’ completes the same work in 15 days. ‘A’ started working alone and after 3 days B joined him. How many days will they now take together to complete the remaining work?
Choices:
5
6
4
None of these
Answer: A
Question: The average of 10 numbers is 23. If each number is increased by 1, what will the new average be?
Choices:
24
72
29
22
Answer: A
Question: Jaya purchase 13 jars in a store then she returned 5 jars to store .Now how many jars she had?
Choices:
B)11
C)19
D)8
E)4
Answer: C
Question: A certain tax rate is $.62 per $100.00. What is the rate, expressed as a percent?
Choices:
6.2%
0.62%
0.062%
0.0062%
Answer: B
Question: How many meters are there in 440 centimeters?
Choices:
3.2 meters
4.4 meters
4.5 meters
4 meter
Answer: B
Question: You roll N (N > 1) number of M (M > 1) sided dice at once. What is the probability they will all land on the same number?
Choices:
M/(N^M)
1/(M^(N-1))
1/(N^(M-1))
1/(M-1)^N
Answer: B
Question: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Choices:
Rs. 170
Rs. 175.50
Rs. 175.50
None
Answer: B
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
Choices:
11
12
19
21
Answer: B
Question: The General Hospital is comprised of, 3/5 Pediatricians, 1/4 Surgeons, and the rest are GP doctors. If 1/4 of the Surgeons are Heart Surgeons, and the hospital doubles the number of GP doctors, what proportion of the hospital are now Heart Surgeons?
Choices:
1/4
1/2
1/24
1/25
Answer: C
Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 1980 in all from both of them as interest. The rate of interest per annum is?
Choices:
12%
9%
10%
45%
Answer: B
Question: On a test average (arithmetic mean) test score for 4 students is 85. What must be 5th student's score that average score for 5 students to be 86?
Choices:
80
90
100
110
Answer: B
Question: How many ounces of a 60% salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 50% salt?
Choices:
30
50
60.33
150
Answer: D
Question: In how many ways can 4 boys and three girls sit in a row such that all boys sit together?
Choices:
B)484
C)720
D)576
E)398
Answer: C
Question: Find a a prime number the options below.
Choices:
80
81
82
83
Answer: D
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Choices:
68.75 kmph
78.75 kmph
79.75 kmph
48.75 kmph
Answer: B
Question: Sum of two numbers is 40 and their difference is 4. The ratio of the numbers is
Choices:
5:9
11:9
13:9
None of these
Answer: B
Question: The average height of 20 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm. What was the actual average height of the students in the class?
Choices:
174.25 cm
173.75 cm
173.25 cm
172.75 cm
Answer: A
Question: Local kennel has cats and dogs in the ratio of 2:3. If there are 6 fewer cats than dogs, how many dogs are in the kennel?
Choices:
18
30
15
12
Answer: A
Question: An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors E does the number 4x have?
Choices:
3y
16y
5y
Cannot be determined
Answer: D
Question: Find the odd man out
2880, 490, 96, 24, 8, 4, 4
Choices:
8
24
490
4
Answer: C
Question: A man's speed with the current is 18 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
Choices:
18
50
30
40
Answer: A
Question: In a recent election, Ms. Robbins received 6,000 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:
0.06N + 6,000
0.4N + 7,200
0.1N + 8,000
0.06N + 8,000
Answer: A
Question: How many Kilograms of Pure water is to be added to 100 Kilograms of a 30% saline solution to make it a 10% saline solution.
Choices:
200
300
400
500
Answer: A
Question: If we know that a positive integer is a multiple of 4, how many (distinct) possibilities are there for the last digit of the integer?
Choices:
4
5
6
7
Answer: B
Question: Two mechanics were working on your car. One can complete the given job in 4 hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Choices:
2
15/4
10/3
17/5
Answer: A
Question: The water level in a rectangular swimming pool measuring 20 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
Choices:
250
1875
1200
5625
Answer: B
Question: (?)-19657-33994=9999
Choices:
63650
59640
61560
None of them
Answer: A
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
6
4
1
Answer: A
Question: In a kilometer race, A beats B by 52 meters or 18 seconds. What time does A take to complete the race?
Choices:
190 sec
328 sec
367 sec
376 sec
Answer: B
Question: x is what percent of y percent of z, in terms of x, y and z?
Choices:
100yz/x
100yz/x
10000x/yz
10000yz/x
Answer: A
Question: How much water must be added to 68 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choices:
17 litres
15 litres
18 litres
None of these
Answer: A
Question: Sravan travelled for 15 hours. He covered the first half of the distance at 45 kmph and remaining half of the distance at 30 kmph. Find the distance travelled by Sravan?
Choices:
540
550
560
440
Answer: A
Question: A reindeer chased by a Cheetah passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the tree did the Cheetah catch up with the reindeer?
Choices:
45 min
1 hr
3 min
1 min
Answer: C
Question: The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1600, then what is the income of P1?
Choices:
Rs.2400
Rs.4000
Rs.3200
Rs.4200
Answer: B
Question: A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 2000 . He sold both the items together for Rs. 5000. What percentage of profit did he make?
Choices:
80%
40%
48%
25%
Answer: D
Question: Kim has 6 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
1/5
1/9
1/11
1/25
Answer: C
Question: 5+5
Choices:
12
20
10
0
Answer: C
Question: The price for a loaf of bread in April was $1.20, in May the price was $1.27, and in June the price was $1.08. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
Choices:
$1.17
$1.16
$1.15
$1.14
Answer: A
Question: Two employees M and N are paid a total of Rs. 550 per week by their employer. If M is paid 120 percent of the sum paid to N, how much is N paid per week?
Choices:
Rs.240
Rs.250
Rs.300
Rs.320
Answer: B
Question: What number times (1⁄7)^2 will give the value of 7^3?
Choices:
49
343
2401
16,807
Answer: D
Question: If a boy sells a book for Rs. 450 he gets a loss of 10 %, then find cost price. To gain 10 %, what should be the selling price?
Choices:
550, 600
500, 550
475, 525
520, 450
Answer: B
Question: A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 11 miles per hour? (1 mile = 5,280 feet)
Choices:
2
4
6
7
Answer: B
Question: If (-7)^(8x) = 7^(12 - 5x) and x is an integer, what is the value of x ?
Choices:
-4
1
2
3
Answer: B
Question: How many shots of 1cm radius can be prepared from a sphere of 5cm radius?
Choices:
88
27
125
199
Answer: C
Question: if N is a prime number bigger than 5. Which of the following expressions must be even?
Choices:
72
(c) N(N+2).
(d) (N+1)(N+2)
(e) (N-2)^2
Answer: A
Question: A train passes a station platform in 27 seconds and a man standing on the platform in 16 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
165
170
185
112
Answer: A
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
15
12
14
13
Answer: D
Question: How many multiples of 4 are there between 8 and 160 ?
Choices:
37
32
35
39
Answer: A
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
200
225
230
none
Answer: C
Question: If 4 men can colour 48 m long cloth in 2 days, then 8 men can colour 36 m long cloth in
Choices:
0.75 day
1.2 days
4 days
5 days
Answer: A
Question: 377 ÷ 13 ÷ 29 × 1/4 ÷ 2 = ?
Choices:
1/8
1/10
1/12
1/15
Answer: A
Question: Two numbers are less than third number by 20% and 37% respectively. How much percent is the second number less than by the first
Choices:
5%
9%
11%
12%
Answer: A
Question: What is the smallest positive integer x such that 180-x is the cube of a positive integer
Choices:
52
60
55
12
Answer: C
Question: A dealer offers a cash discount of 15% and still makes a profit of 36% when he further allows 25 articles to be sold at the cost price of 20 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed?
Choices:
80%
100%
120%
150%
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
11/153
None
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125, x
Choices:
143
166
170
180
Answer: B
Question: Praveen starts business with Rs.3640 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Choices:
s.8000
s.8500
s.9000
s.9360
Answer: D
Question: A man goes down stream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the strean are 10km/hr and 14km/hr respectively, the distance of the destination from the string place is
Choices:
71 km
21 km
41 km
91 km
Answer: B
Question: If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 226 m, what is its area?
Choices:
2535
3060
2515
2520
Answer: B
Question: The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
Choices:
40/3%
15%
14%
24%
Answer: B
Question: How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Choices:
720
None of these
5040
Cannot be determined
Answer: A
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs.40,000. the amount invested by Y is
Choices:
Rs.50,000
Rs.60,000
Rs.80,000
None
Answer: B
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
12
18
17
19
Answer: B
Question: What is the sum of the first 25 natural numbers (starting from 1)?
Choices:
325
375
400
425
Answer: A
Question: Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 42 kmph. For how many minutes does the bus stop per hour?
Choices:
7 min
8.2 min
9.6 min
40 min
Answer: C
Question: (1.00001)(0.99999) - (1.00003)(0.99997) =
Choices:
10^-10
8(10^-10)
10^-5
3(10^-5)
Answer: B
Question: If (m-8) is a factor of m^2-km-24, then k=
Choices:
5
6
11
16
Answer: A
Question: The number of diagonals of a polygon of n sides is given by the formula f=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Choices:
5
6
7
8
Answer: A
Question: The area of a triangle will be when a = 1m, b = 1m, c = 2m, a, b, c being lengths of respective sides?
Choices:
2
5
3
4
Answer: A
Question: Find large number from below question The difference of two numbers is 1345. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1596
1350
1467
1635
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 9 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10
8
12
15
Answer: C
Question: In a graduating class, the difference between the highest and lowest salaries is $100,000. The median salary is $50,000 higher than the lowest salary and the average salary is $20,000 higher than the median. What is the minimum number of students W in the class?
Choices:
B)12
C)15
D)20
E)25
Answer: B
Question: A man is 24 years older than his son. In six years, his age will be twice the age of his son. The present age of the son is
Choices:
28 years
20 years
22 years
None
Answer: D
Question: There are 20 girls inhostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Choices:
2 years
3 years
4 years
None
Answer: D
Question: If P = 2Q+1 where P is an Integer then which of the following is true?
Choices:
P is even if Q is a non integer and a multiple of 0.5
P is a non multiple of 2
P= 1
P IS ALWAYS EVEN
Answer: A
Question: Four athletes, Wendy, Michelle, Brenda, and Jamal, scored in a soccer (football) game. If Michelle scored 1 more goal than Brenda did, Jamal scored 3 less than Wendy did, and Wendy scored 3 more than Michelle did, how many fewer goals did Brenda score than Jamal?
Choices:
-6
-2
-1
-3
Answer: C
Question: Five years ago, John’s age was half of the age he will be in 4 years. How old is he now?
Choices:
14years
16years
17years
18years
Answer: A
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
850m
350m
150m
340m
Answer: B
Question: A train 440 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
26
24
54
15
Answer: B
Question: The mean of 50 observations was 36. It was found later that an observation 60 was wrongly taken as 23. The corrected new mean is?
Choices:
36.7
36.5
36.9
36.3
Answer: A
Question: A bag contains 5 red & 3 black balls and the second one 4 red and 5 black balls. One of is selected at random and a draw of two balls is made from it. What is the chances that one of them is red and the other is black?
Choices:
.5456
2.5456
3.5456
4.5456
Answer: A
Question: n a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5
127.0
127.2
127.3
Answer: A
Question: The average of fifteen numbers is 0. In those 15, at the most, how many may be greater than zero?
Choices:
1
10
14
17
Answer: C
Question: If n is a natural number, then (6n^2+6n) is always divisible by?
Choices:
6 and 12
12 only
by 18 only
None of these
Answer: A
Question: Jonathan can type a 40 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Choices:
10 minutes
15 minutes
18 minutes
20 minutes
Answer: A
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 9 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/25
19/900
1/900
Answer: C
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
6
8
4
10
Answer: D
Question: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ?
Choices:
18
25
74
88
Answer: C
Question: How many different three-digit multiples of 5 can be composed of digits 1, 3, 4, and 5 if none of the digits is repeated?
Choices:
6
10
12
18
Answer: A
Question: If n is an integer greater than 6, which of the following must be divisible by 3?
Choices:
N(N+1)(N-4)
N(N+3)(N-5)
N(N+4)(N-2)
N(N+5)(N-6)
Answer: A
Question: When x is divided by 3, the quotient is y and the remainder is 1. When x is divided by 5, the quotient is z and the remainder is 6. Which of the following is the value of y in terms of z?
Choices:
(7z + 5) / 6
(6z + 7) / 4
(5z + 5) / 3
(4z + 6) / 7
Answer: C
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 20 mangoes. Find the gain percent?
Choices:
25%
21%
15%
24%
Answer: C
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 63?
Choices:
69
128
68^2
68·69
Answer: B
Question: How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
Choices:
100
26
1000
None of these
Answer: A
Question: If Finn was 17 months old one year ago, how old was he, in months, x months ago?
Choices:
x − 12
18 − x
29 − x
30 − x
Answer: C
Question: What should come in place of the question mark (?) in the following equation?
9568 – 6548 – 1024 = ?
Choices:
1996
2293
1896
None of these
Answer: A
Question: A cyclist bikes x distance at 8 miles per hour and returns over the same path at 812miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
Choices:
8.3
8.6
9.6
9.0
Answer: C
Question: If x = -6 and y = -3, what is the value of 4(x-y)^2 - xy ?
Choices:
18
17
22
23
Answer: A
Question: Eleven men and eleven women have to sit around a circular table so that no 2 women are together. In how many ways can that be done?
Choices:
7!*8!
10!*11!
10!*12!
11!*12!
Answer: B
Question: The average runs scored by a batsman in 30 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Choices:
24.3
26.3
28.3
34.5
Answer: A
Question: What is the prime factors’ number of 36?
Choices:
3
4
5
6
Answer: B
Question: A rectangular with dimensions 25 inches by 35 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
Choices:
a) 5 inches
c) 7 inches
d) 8 inches
e) 10 inches
Answer: A
Question: A courtyard is 20 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
Choices:
16000
20000
27999
17799
Answer: A
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of B?
Choices:
2880
3018
3019
3012
Answer: A
Question: How many pieces can a square pizza be cut into by making 4 linear cuts?
Choices:
11
12
13
14
Answer: A
Question: The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time W will it take to fill the tank now?
Choices:
50% less time
75% less time
75% more time
100% more time
Answer: A
Question: What approximate value should come in the place of question mark (?) in the following equation?
1325√(17) + 508.24 of 20% – 85.39 of 3⁄4 = ?
Choices:
5500
5800
4900
5900
Answer: A
Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 48. Find the third number?
Choices:
76
48
27
12
Answer: B
Question: A box contains five bulbs out of which 3 are defective. If three bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/11
1/10
1/198
1/126
Answer: B
Question: hree seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?
Choices:
129
126
197
112
Answer: B
Question: Find the largest number of four digits which is exactly divisible by 25,18,12,15
Choices:
9900
9720
9730
9740
Answer: A
Question: In expressing a length of 102.472 km as nearly as possible with the three significant digits, find the percentage error
Choices:
0.27%
0.027%
0.038%
None of these
Answer: B
Question: What is the remainder when 1273 * 1275 * 1277 *1285 is divided by 12?
Choices:
9
11
0
7
Answer: A
Question: In what time will a train 50 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
1.25 sec
3.5 sec
2.39 sec
9.5 sec
Answer: A
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 4th position from either end of the row.
Can you find out how many girls are practicing together?
Choices:
9
7
6
8
Answer: B
Question: A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
Choices:
224
288
266
121
Answer: A
Question: For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/3, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
Choices:
2/9
1/3
4/9
2/3
Answer: C
Question: A thief steels a car at 6a.m. and drives it at 40kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 60 kmph. When will he overtake the thief?
Choices:
9a.m.
10a.m.
11.45a.m.
10.15a.m.
Answer: A
Question: Two trains 110 meters and 180 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:
7.2
6.85
5.85
6.15
Answer: A
Question: Find the invalid no.from the following series 2,3,12,37,86,166,288
Choices:
145
166
170
180
Answer: B
Question: 50 men took a dip in water tank 40 m long and 20 m broad on a religious day. If the average displacements of water by a man is 4 m3, then the rise in the water level in the tank will be
Choices:
25 cm
35 cm
50 cm
None
Answer: A
Question: A shopkeeper sold an article for 1000 after giving 20% discount on the labelled price and made 25% profit on the cost price. What would have been the percentage profit,had he not given the discount’?
Choices:
56.25%
23%
28%
None of these
Answer: A
Question: David obtained 70, 60, 78, 60 and 65 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?
Choices:
27.6
66.6
16.5
11
Answer: B
Question: Of the 19,210 employees of the anvil factory, 2/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
Choices:
16.67%
33%
28.6%
49.67%
Answer: B
Question: Three friends A, Band C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by ‘A’ is 40,000, out of a total annual profit of 33,000, C’s share will be
Choices:
9,000
11,000
10,000
None of these
Answer: A
Question: If a particular player is never chosen, in how many ways can 11 cricket players be chosen out of 14 players?
Choices:
56
64
78
90
Answer: C
Question: The ratio of Laxmi's age to the age of her mother is 3:11. The difference of their ages is 24 years. The ratio of their ages after 3 years will be?
Choices:
1 : 3
1 : 2
1 : 1
3 : 3
Answer: A
Question: If the product of two numbers is 82500 and their H.C.F. is 55, find their L.C.M.
Choices:
2500
1500
1574
None of these
Answer: B
Question: 4, 5, 7, 11, 19, (...)
Choices:
35
27
32
30
Answer: A
Question: If k > 0, x + k = y, and y + 4k = z, what is the ratio between z - x and y - x ?
Choices:
3 to 2
3 to 1
4 to 1
5 to 1
Answer: D
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choices:
384
279
267
229
Answer: A
Question: Car A runs at the speed of 52km/hr & reaches its destination in 10hr. Car B runs at the speed of 46 km/h & reaches its destination in 8h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
66:52
68:15
65:41
23:59
Answer: C
Question: An unbiased die is tossed .find the probability of getting a multiple of 3
Choices:
7/8
9/8
1/3
6/5
Answer: C
Question: In a garden, 26 trees are planted at equal distances along a yard 300 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
Choices:
8
12
14
16
Answer: B
Question: a man and a woman, walking together start out by both taking a step with the left foot. in order to keep together, the man whose stride is longer, takes two steps while the woman takes three. how many steps will the woman have taken they are both about to step out on the right foot for the first time together?
Choices:
20
30
40
never
Answer: D
Question: It costs $2 for the first 15 minutes to use the bumper cars at a fair ground. After the first 15 minutes it costs $6 per hour. If a certain customer uses the bumper cars for 3 hours and 25 minutes, how much will it cost him?
Choices:
$3
$15
$21
$30
Answer: C
Question: Bella is taking a trip in her car from New York (point A) Chicago, Illinois (point B). She is traveling at an average speed of 50 miles per hour, If the total distance from point A to point B is 790 miles, in approximately how long will Bella reach her destination?
Choices:
12.50 hours
15.80 hours
25 hours
1 day
Answer: B
Question: The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is?
Choices:
4 months
8 months
9 months
1 months
Answer: A
Question: A 12 lt solution is 33 1/3% acid. How much water must be added to get the solution having 20 % acid.
Choices:
8
10
7
5
Answer: A
Question: A man can row at 5 kmph in still water. If the velocity of current is 3 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
Choices:
2.9 km
3.4 km
4.4 km
1.6 km
Answer: D
Question: If x > 7, which of the following is equal to (x^2 + 2x + 1)/(x^2 - 1) ?
Choices:
(x - 4)/(x + 4)
(x - 2)/(x + 4)
(x + 1)/(x - 1)
(x - 8)/(x - 4)
Answer: C
Question: At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 20% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
Choices:
8/23
2/5
8/14
2/3
Answer: C
Question: What is the decimal equivalent of (1/4)^2?
Choices:
0.0625
0.16
0.25
0.5
Answer: A
Question: 2x + y = 18
|y| <= 18
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
Choices:
13
15
17
19
Answer: D
Question: Find the simple interest on $1000 for 3 years at 10% per annum?
Choices:
$300
$500
$600
$1000
Answer: A
Question: For how many values of W, is |||W - 5| -10| -5| = 2?
(Those ls are mods)
Choices:
2
4
8
More than 8
Answer: C
Question: what is the remainder of (3682*3684*3686) divided by 19?
Choices:
0
2
3
4
Answer: A
Question: Linda and Angela contract to paint a neighbor's house. Even though Linda
spends 20% more time painting the house than Angela, each receives a payment
of m dollars when the work is completed. If Angela decides to pay Linda n
dollars so that they would have received the same compensation per hour
worked, what is n in terms of m?
Choices:
B)(1/3)m
C)(1/4)m
D)(1/5)m
E)(1/11)m
Answer: D
Question: An artist sells paintings through an on-line store, which take a commission of 11% of the price set by the distributor. The distributor obtains the painting from an artist at the price of $20 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 11% profit on the cost of the item?
Choices:
28.11
36.44
44.12
14.99
Answer: A
Question: If a coin is tossed twice, what is the probability that one of the flips was heads and one of the flips was tails?
Choices:
1/2
1/4
1/6
3/4
Answer: A
Question: The average age of a board of 8 functional directors in a company is the same as it was 3 years ago, a younger man having been substituted for one of the directors. How much younger was the new man than the director whose place he took.
Choices:
24 years
28 years
27 years
None of the above
Answer: A
Question: What is the remainder when 121212.......(300) digits is divided by 99.
Choices:
18
72
0
1
Answer: A
Question: 31, 29, 24, 22, 17, ?
Choices:
15
13
25
28
Answer: A
Question: A man goes to work daily. Everyday his wife picks him from railway station at 6 o'clock. One day, he left office early and reached the station at 5 o'clock. So, he started walking home. On the way, he met his wife, and they returned together in the car. They reached home ten minutes earlier than usual time. How much time did the man walk?
Choices:
55 minutes.
54 minutes.
52 minutes.
45 minutes.
Answer: A
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 222 marks in the second test and failed by 39 marks in that test. Find the pass mark in the first test?
Choices:
232
246
625
224
Answer: A
Question: The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
5 kmph
9 kmph
8 kmph
6 kmph
Answer: A
Question: Calculate how many days it will take for 5 boys to paint a 65 m long wall if 2 boys can paint a 40 m long wall in 4 days,
Choices:
2.6 days
5.6 days
6 days
2 days
Answer: A
Question: What is the least value of x, So that 2x5478 is divisible by 9
Choices:
8
9
1
2
Answer: C
Question: Tom is 12 years older than his sister, Amy. He is also four times her age. How olx is Tom?
Choices:
15 years
16 years
17 years
18 years
Answer: B
Question: In an exam, students need to answer 120 multiple choice questions. If the question paper is divided into 10 sections, how many questions are there in a section?
Choices:
12
10
4
50
Answer: A
Question: Sameer spends 40% of his salary on food articles and 1/3rdof the remaining on transport. If he saves Rs.450 per month which is half of the balance after spending on food items and transport, what is his monthly salary?
Choices:
Rs.2250
Rs.2500
Rs.4500
None
Answer: A
Question: A house wife saved $2.75 in buying an item on sale. If she spent $20 for the item, approximately how much percent she saved in the transaction?
Choices:
9%
10%
11%
12%
Answer: D
Question: Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 10 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
Choices:
R/(R+4)
R/(R-8)
8/(R-20)
2R - 4
Answer: B
Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Choices:
2
3
5
6
Answer: A
Question: if a2+b2=177and ab=54 then find the value of a+b/a-b?
Choices:
5
6
3
7
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Choices:
145
166
150
170
Answer: B
Question: At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 21 liters of forest green to change it to Verdant green?
Choices:
7
1/2
1/7
1/8
Answer: A
Question: A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
Choices:
20%
25%
30%
40%
Answer: B
Question: If mn > 0, which of the following must be negative?
Choices:
mn
m+n
2m+n
-m * n
Answer: D
Question: Sourav walks 20 meters towards North. He then turns left and walks 40 meters. He again turns left and walks 20 meters. Further, he moves 20 meters after turning to
right. How far is he from his original position?
Choices:
66
60
27
22
Answer: B
Question: A set of numbers has the property that for any number t in the set, t + 1 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 3
II. 1
III. 5
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: D
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
9
5
5
4
Answer: A
Question: Machines P and Q are two different machines that cover jars in a factory. When Machine P works alone, it covers 1500 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 1500 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 1500 jars?
Choices:
n/(m + n)
mn/(m + n)
mn/(m – n)
mn/(n – m)
Answer: C
Question: If 2x/|y| = -16 which of the following must be true?
Choices:
x = y
x^2 =64 * y^2
x^2 = y^2
x^3 = y^3
Answer: B
Question: The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?
Choices:
37500
37199
37512
37511
Answer: A
Question: Find the fourth proportion to 6,12,18
Choices:
12
36
8
15
Answer: B