antoine-444/aqua_rat_dataset huggingface dataset:
Question: If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 14.3
II. 12.3
III. 9.2
Choices:
I and II only
II only
III only
I and III only
Answer: C
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
Rs. 9000
Rs. 9900
Rs. 98900
Rs. 10000
Answer: D
Question: What is the ratio R of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Choices:
3/8
1/2
3/5
2
Answer: C
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32
44
66
88
Answer: A
Question: Plane leaves from Chelsea every 30 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
Choices:
6:55 p.m
7:35 p.m
8:55 p.m
9:35 p.m
Answer: A
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other.
Choices:
99
77
66
55
Answer: A
Question: Three models (F, G, and H) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model F, 17 cars of Model G, and 15 cars of Model H. What is the maximum number of cars of model F in any showroom ?
Choices:
16
15
14
13
Answer: B
Question: In a question on division with zero remainder, a candidate took 20 as divisor instead of 10. The quotient obtained by him was 35. The correct quotient is?
Choices:
A)70
C)28
D)29
E)30
Answer: A
Question: The 46th digit after the decimal in the decimal expansion of 11996 is
Choices:
1
4
6
8
Answer: B
Question: The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/5. What is the probability of Michael passing his driving test?
Choices:
1/2.
1/3.
2/3.
4/5
Answer: D
Question: A type W machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type W machines and 3 type B machines working together and independently to complete the job?
Choices:
29/35
5/6
35/29
35/12
Answer: C
Question: A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
Choices:
9 days
6 days
5 days
8 days
Answer: B
Question: One year ago, the ratio of Gaurav' and Sachin's age was 6 : 7 respectively Four years hence , this raio would become 7 : 8. How old is Sachin ?
Choices:
36 years
37 years
38 years
39 years
Answer: A
Question: Marge has E candies, where E is an integer such that 20 <E< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?
Choices:
1
2
3
4
Answer: B
Question: Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5seconds after he sees it strike the tree. How far is the man from the wood chopper?
Choices:
2420 ft
1800 ft
1820 ft
None of these
Answer: A
Question: Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is
Choices:
1/9
1/6
1/4
1/2
Answer: A
Question: Tom planted vegetables in a rectangular garden that was 27 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?
Choices:
186 sq. ft.
187 sq. ft.
188 sq. ft.
189 sq. ft.
Answer: D
Question: A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability E that both selected dogs are NOT littermates?
Choices:
2/9
5/6
7/9
8/9
Answer: B
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 6 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
Choices:
1.5
2
2.5
3
Answer: A
Question: Two friends C and D leave point C and point D simultaneously and travel towards Point D and Point C 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 D take to cover the entire journey between Point D and point C?
Choices:
90
75
60
65
Answer: A
Question: 1/2+[(2/3*3/8)+4]-8/16=
Choices:
19/16
15/16
17/4
0
Answer: C
Question: if there is one larger cube with volume 1000 and no. of smaller cubes with volume 8.then how many small cubes are required to make a larger cube with volume of 600?
Choices:
10
125
100
4
Answer: B
Question: Two stations P and Q are 155 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Choices:
12 am
10.30 am
12.30 am
11 am
Answer: D
Question: Anil purchased 30 kg of wheat at the rate of Rs. 22 per kg and 20 kg of wheat at the rate of Rs. 24 per kg. He mixed the two. Approximately at what rate per kg should he sell the mixture to make 25% profit?
Choices:
Rs. 28
Rs. 26
Rs. 282
Rs. 21
Answer: A
Question: A football player scores 2 goals in his fifth match thus increasing his average goals score by 0.1. The total number of goals in his 5 matches would be
Choices:
6
8
10
12
Answer: B
Question: Raju is 10 years elder to Sita. 10 years from now Raju would be twice as old as sita was before 10 years. How old would be Sita after 12 years.
Choices:
46 years
50 years
52 years
55 years
Answer: C
Question: A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:9
4:3
4:1
4:2
Answer: B
Question: (1/31)+(1/32)+……+(1/61)+(1/62) is including in which of the following ranges?
Choices:
1/2~ 1
1
1~2
1//2
Answer: A
Question: Two goods trains each 625 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
88 sec
60 sec
18 sec
9 sec
Answer: B
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
Choices:
2
1
0
5
Answer: A
Question: A and B together can do a piece of work in 6 days and A alone can do it in 11 days. In how many days can B alone can do it?
Choices:
15 days
66/5 days
21 days
22/5 days
Answer: B
Question: A vendor bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Choices:
4
7
5
3
Answer: C
Question: How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits H equal to 28?
Choices:
24
28
48
96
Answer: C
Question: If a 10% deposit amounting to $110 has been paid toward buying a brand new TV, how much remains to be paid?
Choices:
$990
$1000
$1100
$1210
Answer: A
Question: In a class of 52 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:
30
18
28
32
Answer: A
Question: How much is 80% of 40 is greater than 4/5 of 25?
Choices:
87
26
12
667
Answer: C
Question: A man whose bowling average is 12.4, takes 4 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Choices:
54
55
56
57
Answer: B
Question: There are 408 boys and 240 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
Choices:
27
35
30
45
Answer: A
Question: If a man buys 10 lollipops for $90 and sold them for $6 dollars determine his loss.
Choices:
60
70
20
90
Answer: C
Question: The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is :
Choices:
7000
8888
9000
None of these
Answer: C
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88 km
4.49 km
2.99 km
7.88 km
Answer: A
Question: A runs times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Choices:
200
277
298
797
Answer: A
Question: 2, 4, 6, 8, 10, ... ?
Choices:
5
7
3
12
Answer: D
Question: A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
Choices:
21
22
23
24
Answer: A
Question: What is the value of 10^8- 6^4?
Choices:
9,99,98,704
9,99,98,800
9,99,99,521
9,99,99,932
Answer: A
Question: Which of the following is a parallelogram?
Choices:
130,50,130,50(angle in deg)
95,95,95,95(angle in deg)
a & c
none
Answer: A
Question: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case.What is the sum of the digits of N ?
Choices:
2
3
5
4
Answer: D
Question: The cost of producing x tools by a company is given by
C(x) = 2000 x + 5500 (in $)
a) What is the cost of 100 tools?
Choices:
205800 $
125900 $
226500 $
205500 $
Answer: D
Question: Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H
Choices:
150
137
132
89
Answer: C
Question: What is the next term in the below series.
1/5 , 1/2 , 1/3 , 2/5 ,1, 2/3, 3/5, 1 1/2 ,1, 4/5,?
Choices:
0
2
2/5
3/5
Answer: B
Question: The price of an item changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?
Choices:
20%
30%
40%
50%
Answer: A
Question: The distance traveled by eagle in one year approximately 150,000,000 miles.The distance traveled by eagle in 50 years?
Choices:
10<8>
10<4>
10<12>
10<11>
Answer: A
Question: A committee of 5 people is to be selected from 8 people. How many different committees are possible?
Choices:
40
56
168
336
Answer: B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5
4
5
6
Answer: A
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
5m
8m
2m
1m
Answer: C
Question: Three friends James, David and Charlie divide $1230 amongs them in such a way that if $5, $10 and $15 are removed from the sums that James, David and Charlie received respectively, then the share of the sums that they got will be in the ratio of 9: 10 : 11. How much did Charlie receive?
Choices:
$575
$550
$580
$615
Answer: D
Question: A water tank is three-fifths full. Pipe A can fill a tank in 15 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how many minutes will it take to empty or fill the tank completely?
Choices:
4
6
8
10
Answer: B
Question: The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 30 kms. what was the total distance traveled in 12 hours?
Choices:
152 kms
492 kms
752 kms
152 kms
Answer: B
Question: While driving from A-ville to B-town, Harriet drove at a constant speed of 95 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 155 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?
Choices:
148
150
162
186
Answer: D
Question: A train ,155 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Choices:
245 m
235 m
220 m
240 m
Answer: C
Question: There are 7 players in a bowling team with an average weight of 112 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
Choices:
110 Kg.
106 Kg.
105 Kg.
100 Kg.
Answer: B
Question: A can have a piece of work done in 5 days, B can work three times faster than the A, C can work four times faster than A. How many days will they take to do the work together ?
Choices:
8/9 days
3/2 days
can't say
none
Answer: B
Question: There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters ?
Choices:
2! x 19!
19!
17!
None of these
Answer: D
Question: In a camp,there is a meal for 120 men or 200 children.If 180 children have taken the meal,how many men will be catered to with the remaining meal ?
Choices:
30
12
50
60
Answer: B
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Choices:
20
30
40
50
Answer: B
Question: A shopkeeper professes to sell his goods at cost price but uses a weight of 800 gm instead of kilogram weight.Thus, he makes a profit of
Choices:
22%
25%
None of these
Cannot be determined
Answer: B
Question: A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 99 cookies, what is the minimum number of chocolate chip cookies he makes?
Choices:
14
21
28
35
Answer: B
Question: You are renting an apartment and you need √784 for each side, how many feet are you looking to measure?
Choices:
22
23
24
28
Answer: D
Question: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 10% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Choices:
$36.55
$39.20
$39.50
$40.60
Answer: A
Question: If -2/(a - 6) = 4/(a + 4), then a = ?
Choices:
1/2
5/3
8/3
7/3
Answer: C
Question: A cube of sides 9 is first painted red and then cut into smaller cubes of side 3. How many of the smaller cube have painted on exactly 2 sides?
Choices:
24
12
8
9
Answer: B
Question: 25 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
Choices:
18
17
16
30
Answer: D
Question: Given that E and F are events such that P(E) = 10 P(F) = 2 and P(E n F) = 10,
find P (E|F) and P(F|E)
Choices:
69
24
5
12
Answer: C
Question: A sum was put a simple interest at a certain rate for 7 years. Had it been put at 2% higher rate, it would have fetched Rs. 350 more. The sum is:
Choices:
s.500
s.1500
s.2000
s.2500
Answer: A
Question: Assuming i have an infinite supply of coins.
What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins.
Choices:
7
4
8
2
Answer: B
Question: Birbal is a witty trader who trade of a mystical fruit grown far in north. He travels from one place to another with three sacks which can hold 30 fruits each. None of the sack can hold more than 30 fruits. On his way, he has to pass through thirty check points and at each check point, he has to give one fruit for each sack to the authorities.
How many mystical fruits remain after he goes through all the thirty check points?
Choices:
25
27
28
29
Answer: A
Question: 25% of 30% of 45% is equal to?
Choices:
0.03375
0.03379
0.03372
0.03328
Answer: A
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
5
4
8
Answer: A
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.1 years, The ratio of the number of boys to the number of girls in the class is
Choices:
7 : 6
9 : 3
6 : 3
2 : 5
Answer: A
Question: A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 24 inches. Find b.
Choices:
8
24
32
48
Answer: A
Question: Two trains leave a station traveling the same direction. Train A leaves the station traveling at a constant speed of 60 mph, and train B leaves the station traveling at a constant speed of 80 mph. If both trains maintain constant speeds, in how many minutes will train B overtake train A if train A left 40 minutes prior to train B?
Choices:
100
110
120
130
Answer: C
Question: 10 - [9 - {8 - (7 - 6)}] - 5 is equal to ?
Choices:
1
3
9
8
Answer: B
Question: By selling an umbrella for Rs. 300, a shop keeper gains 200%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
25
400
200
150
Answer: C
Question: The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 72° of the circle, what percentage of MegaTek employees are in manufacturing?
Choices:
20%
30%
35%
72%
Answer: A
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of5% p.a. was Rs.246. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
Choices:
Rs.2646
Rs.2546
Rs.2656
Rs.2565
Answer: A
Question: Victor gets 92 % marks in examinations. If these are 184 marks, find the maximum marks.
Choices:
500
200
288
271
Answer: B
Question: Which of the following equations is NOT equivalent to 4x^2 = z^2 - 9 ?
Choices:
4x^2 - z^2 = -9
4x^2= (z + 3)(z - 3)
2x = z - 3
x^2 = (z^2-9)/4
Answer: C
Question: From a pack of 52 cards, two cards are drawn together at random. What is the probability that the one is heart and other two is diamond?
Choices:
176/5534
253/5523
234/5525
1/5525
Answer: C
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 15 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:
0.09N + 6,000
0.4N + 7,200
0.1N + 8,000
0.06N + 8,000
Answer: A
Question: There were 400 ducks in a pond and 15 percent of them just left. How many ducks are remaining?
Choices:
280
220
340
250
Answer: C
Question: A student was asked to find the arithmetic mean of the number 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
17
31
32
Answer: A
Question: If 76 is divided into four parts proportional to 7,5,3,4 then the smallest part is
Choices:
12
16
19
None
Answer: A
Question: What is the smallest integer b for which 27^b> 3^24?
Choices:
8
9
10
12
Answer: B
Question: The area of a square playground is A square feet and the perimeter is p feet. If 4A=8p+36, what is the perimeter of the playground, in feet?
Choices:
40
36
56
64
Answer: B
Question: An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he make a pair of table and chair?
Choices:
80
110
64
None of these
Answer: A
Question: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling nine books ?
Choices:
2025
1800
2778
76611
Answer: A
Question: At a dinner party, 7 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
2) 720
3) 724
4) 732
5) 120
Answer: A
Question: Two trains of equal lengths take 10 sec and 15 sec, respectively, to cross a telegraph post. If the length of each train is 120 m, in what time will they cross each other, travelling in opposite directions?
Choices:
12 sec
18 sec
19 sec
52 sec
Answer: A
Question: A box contains 3 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choices:
3/5
5/8
2/3
3/4
Answer: C
Question: A certain no. when divided by 95 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
4
6
8
9
Answer: C
Question: If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability R that this product will be a multiple of 45?
Choices:
1/28
1/24
1/16
1/14
Answer: B
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $504 per week. How much does she earn in dollars per hour?
Choices:
8
9
14
24
Answer: C
Question: Kamal will complete work in 20 days. If Suresh is 25% more efficient than Kamal, he can complete the work in --- days.
Choices:
16
18
20
22
Answer: A
Question: The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
Choices:
35/12
45/12
4/9
6/15
Answer: D
Question: Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 31 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses?
Choices:
15.5 minutes
35 minutes
62 minutes
93 minutes
Answer: A
Question: Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 20 skiers were CPR certified and 28 were not. How many skiers tried out for the ski patrol?
Choices:
50
60
70
80
Answer: B
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
377
277
400
281
Answer: C
Question: Find the sum of divisors of 544 which are perfect squares.
Choices:
64
42
21
None of these
Answer: C
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
650 m
750 m
None of these
Answer: A
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 50 years. What is Deepak present age
Choices:
15
33
22
23
Answer: B
Question: The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ?
Choices:
786
906
896
696
Answer: B
Question: A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 140, how much must C pay as his share of rent?
Choices:
36
55
65
none
Answer: A
Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 10% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
Choices:
12000
8000
10000
None of these
Answer: A
Question: If |x^2 − 12| = x, which of the following could be the value of x?
Choices:
–3
1
2
3
Answer: D
Question: We invested a total of $1,000. We invested one part of the money at 3% and the rest of the money at 5%. The total investment with interest at the end of the year was $1,046. How much money did we invest at 3%?
Choices:
$200
$280
$320
$360
Answer: A
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 5.5 km apart, if they walk in the same direction?
Choices:
11 hrs
15 hrs
17 hrs
None
Answer: A
Question: You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
Choices:
6
9
12
18
Answer: C
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
42%
52%
62%
72%
Answer: B
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %.
Choices:
4%
3.5%
5.5%
4.5%
Answer: A
Question: 1/2+[(2/3*3/8)+4]-7/16=
Choices:
19/16
69/16
9/13
0
Answer: B
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 32. In the company, what is the maximum number of non-managers in a department that has 9 managers?
Choices:
40
41
42
43
Answer: B
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choices:
Rs. 2(2/9)
Rs. 2(1/9)
Rs. 3(2/7)
Rs. 4(2/9)
Answer: A
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Choices:
100
2987
278
271
Answer: A
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Choices:
2510 m^2
2520 metre sq
2540 m^2
2590 m^2
Answer: B
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 8, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
Choices:
9
72
112
422
Answer: A
Question: Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?
Choices:
One
Two
Three
More than three
Answer: C
Question: An inspector rejects 0.02% of the meters as defective. How many will he examine to reject 2?
Choices:
B)10000
C)2500
D)3000
E)3100
Answer: A
Question: A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find the distance between the two stations.
Choices:
200
220
230
240
Answer: D
Question: A train , having a length of 330 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
Choices:
18 sec
6 sec
4 sec
2 sec
Answer: A
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 40?
Choices:
21
34
47
55
Answer: B
Question: Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 20 candidates. She plans to have one working interview with 3 of the 20 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?
Choices:
520
300
30
333
Answer: A
Question: The tax on a commodity is diminished by 20% and its consumption increased by 25%. The effect on revenue is?
Choices:
8% decrease
9% decrease
0% No change
2% decrease
Answer: C
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
89.2 km/hr
73.2 km/hr
79.2 km/hr
73.7km/hr
Answer: C
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?
Choices:
22
24
1
30
Answer: C
Question: A salesman commission is 5% on all sales upto $10000 and 4% on all sales exceeding this. He remits $31100 to his parent company after deducting his commission. Find the total sales?
Choices:
$32500
$35120
$41520
$25460
Answer: A
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 170 cookies, what percent of the cookies did Nell bake?
Choices:
1.25%
11.7%
125%
0.152%
Answer: B
Question: Shreyas bought an article and sold it for 112% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42750/-?
Choices:
Rs.38169
Rs.38989
Rs.23200
None of these
Answer: A
Question: If x and y are perfect squares, then which one of the following is not necessarily a perfect square?
Choices:
xy
4x
x+y
x^5
Answer: C
Question: A certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
140
180
315
Answer: C
Question: A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Which of the following is definitely a group of male members ?
Choices:
QU
QI
QH
HS
Answer: A
Question: What is the area of square field whose side of length 7 m?
Choices:
662
772
882
49
Answer: D
Question: What is 5 2/3 - 3 5/4 divided by 5/2 - 7/6 ?
Choices:
6
4
5
1
Answer: D
Question: √6 percent of 6√6 =
Choices:
0.25
0.1
0.95
0.35
Answer: D
Question: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
16/35
16/39
16/33
18/31
Answer: A
Question: A sum of money place at compound interest doubles itself in 3 years. In how many years will it amount to eight times itself?
Choices:
8
9
10
11
Answer: B
Question: The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 squares feet, how much will it cost to paint outside of a cube having 8 feet each side?
Choices:
Rs. 768
Rs. 876
Rs. 972
None
Answer: B
Question: The amount of water (in ml) that should be added to reduce 15 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Choices:
5 ml
4 ml
6 ml
10 ml
Answer: D
Question: CP of one kg apple is Rs.9 and thereby loses 20%. At what price per kg, we should have sold them to make a profit of 5%?
Choices:
11.81
11.92
12.4
12.56
Answer: A
Question: 517 + 5.017 + 0.517 + 5.0017 = ?
Choices:
527.5357
229.6357
629.5637
629.6753
Answer: A
Question: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?
Choices:
30 min
25 min
28 min
40 min
Answer: A
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 09 AM, what will be the time at the end of 10 days?
Choices:
09:56:24 AM
10:16:40 AM
10:06:36 AM
09:54:24 AM
Answer: D
Question: If the average of 9 digits is 18 and the average of 4 of them is 8, calculate the average of the remaining 5 numbers?
Choices:
26
27
22
29
Answer: A
Question: 4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 6 weavers in 6 days?
Choices:
9
12
15
18
Answer: A
Question: If y is 40 percent greater than x, then x is what percent less than y?
Choices:
21%
25%
29%
35%
Answer: C
Question: If an object travels at sixty feet per minute, how many feet does it travel in one hour?
Choices:
3000
2400
1800
3600
Answer: D
Question: Siddharth wants to borrow Rs.8000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
s.28.80
s.21.18
s.21.98
s.21.29
Answer: A
Question: A company’s four cars running 10 hrs a day consume 1500 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days?
Choices:
1555 lt
1664 lt
1728 lt
2160 lt
Answer: D
Question: In a sample of college students, 50 percent are third year students and 70 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?
Choices:
2/3
2/5
3/7
2/9
Answer: A
Question: A firm has 5 senior partners and 6 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? (Note that two groups are considered different if at least one group member is different.)
Choices:
135
140
145
150
Answer: C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20%
22%
77%
54%
Answer: A
Question: The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
Choices:
Rs.48,750
Rs.76,375
Rs.81,250
None
Answer: B
Question: 90, 180, 12, 50, 100, 160, ?, 3, 40, 4, 25, 2, 6, 30, 3
Choices:
150
180
120
220
Answer: C
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
17
15
19
12
Answer: B
Question: What is the place value of 7 in the numeral 2734?
Choices:
7
700
7.0
800
Answer: B
Question: WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 7/8 probability that task 1 will be completed on time, and a 1/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
Choices:
3/40
13/40
7/10
13/22
Answer: C
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.50 for every box, and if the university needs 2.16 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Choices:
$225
$510
$850
$1250
Answer: A
Question: Evaluate (12 + 22 + 32 + ... + 102)
Choices:
720
385
265
295
Answer: B
Question: A train met with an accident 70km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
Choices:
55 km/hr
65 km/hr
70 km/hr
48 km/hr
Answer: C
Question: If R, x, y, and z are positive integers and (x)×(y)×(z)=R^2, which of the following could be the values of x, y, and z?
Choices:
9, 25, 24
2, 9, 32
2, 9, 16
8, 16, 36
Answer: B
Question: The average of 5 quantities is 8. The average of 3 of them is 4. What is the average of remaining 2 numbers?
Choices:
14
8
9.5
None of these
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 2.1. What should be the rate in the remaining 30 overs to reach the target of 282 runs?
Choices:
8.28
6.11
8.7
8.11
Answer: C
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800
277
126
191
Answer: A
Question: A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
Choices:
21
77
92
61
Answer: A
Question: A bag contains 18 purple jellybeans, 12 green jellybeans, and 16 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
Choices:
20%
26%
30%
35%
Answer: B
Question: 24 men can complete a work in 16 days.32 women can complete the same work in 24 days.16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?
Choices:
24
36
48
49
Answer: A
Question: Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
Choices:
17
10
77
66
Answer: B
Question: Arun purchased 35 kg of rice at the rate of Rs 9.50 per kg and 30 kg at the rate of Rs 10.50 per kg. He mixed the two. Approximately, at what price per kg should he sell the mixture to make 35 % profit in the transaction?.
Choices:
13 Rs
13.5 Rs
14 Rs
None of these
Answer: B
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
3.75 sec
3.5 sec
7.5 sec
2.4 sec
Answer: A
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
16.8
16.5
16.1
16.2
Answer: A
Question: A women travels from X to Y distance of 1000 miles in 10 hours. she returns to X in 4 hours. Find her average speed
Choices:
150.2mph
142.8mph
200mph
111.01mph
Answer: B
Question: In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent H of her bushes have only yellow roses?
Choices:
30
50
70
80
Answer: A
Question: If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter
Choices:
64 cm
56 cm
52 cm
None of these
Answer: C
Question: If a bike moving at the speed of x km/hr travels a distance of y km, which of the following cannot be equal to the distance traveled?
Choices:
x/2 km
y-x km
y/x km
(x-y)/2 km
Answer: B
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28 hours
32 hours
36 hours
None of these
Answer: A
Question: The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
45
85
95
90.5
Answer: D
Question: A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?
Choices:
2
3
7
4
Answer: D
Question: A survey was sent to 80 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
Choices:
5%
14%
28%
63%
Answer: A
Question: How many multiples of 5 are there between 5 to 85?
Choices:
15
17
none of these
Cannot be determined
Answer: A
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Choices:
30
31
34
35
Answer: B
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then the fraction of the work that is left is
Choices:
7/15
3/15
5/12
1/4
Answer: C
Question: What is the value of 3x^2 − 1.8x + 0.8 for x = 0.6?
Choices:
0.8
0.3
1.08
2.46
Answer: A
Question: John purchased some shirts and trousers for $700. He paid $400 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy?
Choices:
5
6
7
11
Answer: D
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ?
Choices:
6 kmph
4 kmph
3 kmph
2 kmph
Answer: A
Question: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
Choices:
5 P 3
5(3)
3(5)
2(5)
Answer: C
Question: -84x29+365=?
Choices:
2801
-2801
-2071
None of them
Answer: C
Question: In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the box, and that’s the “number” of the box. Then, we put those three numbers in order, from lowest to highest, and that is our set. How many different sets R can be created from this process?
Choices:
105
210
420
630
Answer: A
Question: 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
Choices:
12
13
14
16
Answer: A
Question: Gauri went to the stationers and bought things worth Rs. 25, 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:
15.7
19.7
19.2
18
Answer: B
Question: The triplicate ratio of 1:9 is?
Choices:
1:8
1:7
1:2
1:729
Answer: D
Question: If a and b are positive real numbers, and a^3 + b^3 = 20, then the greatest possible value of a is between:
Choices:
0 and 3
4 and 5
5 and 7
7 and 9
Answer: A
Question: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
Choices:
9
35
25
215
Answer: B
Question: In a class, there are 21 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
Choices:
14
18
24
26
Answer: A
Question: How many 3 digit positive integers E exist that when divided by 7 leave a remainder of 5?
Choices:
142
143
141
129
Answer: D
Question: On a wedding catering service, An experienced chef can prepare a service for a wedding in 6 hours while an novice chef would finish the preparations in 7 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?
Choices:
3
4
6
8
Answer: B
Question: If (x+3)^2/(2x+15)=3, then the difference between the two possible values of x is:
Choices:
10
12
14
16
Answer: B
Question: In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Choices:
86400
11760
5040
None of these
Answer: B
Question: Excluding stoppages, the speed of a train is 55 kmph and including stoppages it is 30 kmph. Of how many minutes does the train stop per hour?
Choices:
27
12
82
18
Answer: A
Question: Find the remainder when 32^33^34 is divided by 11
Choices:
10
99
76
28
Answer: A
Question: In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C is
Choices:
10
88
37
32
Answer: A
Question: Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
Choices:
0.42
0.45
0.48
0.5
Answer: A
Question: What is the place value of 3 in the numeral 2734?
Choices:
30
43
56
40
Answer: A
Question: A alone can complete a work in 16 days and B alone can do in 12 days. Starting with A, they work on alternate days. The total work will be completed in
Choices:
13 1/2
13 3/4
13 4/4
13 2/3
Answer: B
Question: Find the average of all prime numbers between 30 and 50
Choices:
42
45
34
26
Answer: A
Question: For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability Q that the integer drawn is divisible by 8?
* A solution will be posted in two days.
Choices:
1/3
1/2
2/3
5/6
Answer: C
Question: A certain roller coaster has 4 cars, and a passenger is equally likely to ride in any 1 of the 4 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 4 times, what is the probability that the passenger will ride in each of the 4 cars?
Choices:
1/9
2/9
3/32
1
Answer: C
Question: A cycle is bought for Rs.900 and sold for Rs.1440, find the gain percent?
Choices:
20%
80%
30%
60%
Answer: D
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 1/0
33 1/3
33 1/5
33 1/2
Answer: B
Question: In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
13X/20
80/9X
20X/13
80X/9
Answer: D
Question: In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1200 employees, then the no. of female employees who are computer literate ?
Choices:
504
672
960
None
Answer: A
Question: 10 liters are drawn from a cask full of wine and is then filled with water. This operation is performed one more time . The ratio of the quantity of wine now left in cask to that of the water is 4:5. How much wine did the cask hold originally?
Choices:
20
30
45
60
Answer: B
Question: A guy was asked to specify his age in years. He said, “Take my age 6 years hence, multiply it by six and subtract six of my age 6 years ago and you will know my age.” What was the age of that guy?
Choices:
35
53
69
72
Answer: D
Question: What is the units digit of (493) (915) (381) (756) (28)
Choices:
1
4
5
6
Answer: A
Question: Look at this series: 25000,5000,1000, ... What number should come next?
Choices:
10
15
200
8
Answer: C
Question: How much time will a train of length 380 m moving at a speed of 72 kmph take to cross another train of length 540 m, moving at 36 kmph in the same direction?
Choices:
99
88
92
12
Answer: C
Question: A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
Choices:
100
110
130
140
Answer: B