antoine-444/aqua_rat_dataset huggingface dataset:
Question: An engagement team consists of a project manager, two team leaders, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?
Choices:
35
150
210
300
Answer: B
Question: A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $16 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item?
Choices:
$21
$22
$23
$24
Answer: D
Question: 112 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
26
49
27
11
Answer: B
Question: An employee’s annual salary was increased 50%. If her old annual salary equals $80,000 , what was the new salary?
Choices:
$120,000
$110,000
$139,000
$125,000
Answer: A
Question: Tom read a book containing 560 pages by reading the same number of pages each day. If he would have finished the book 5 days earlier by reading 16 pages a day more, how many days did Tom spend reading the book?
Choices:
18
9.12
20
None
Answer: B
Question: If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
Choices:
9:6:2
9:6:8
9:6:4
9:6:1
Answer: C
Question: At a party, there were five times as many females as males and four times as many adults as children. Which of the following could NOT be the number of people at the party?
Choices:
250
210
120
72
Answer: D
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8!
7
6
5
Answer: A
Question: The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Choices:
21:22
8:9
9:8
None of them
Answer: A
Question: There are three departments having students 64,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
Choices:
73
75
76
77
Answer: A
Question: A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP?
Choices:
30%
50%
60%
70%
Answer: B
Question: If the probability that Green Bay wins the Super Bowl is 1/12 and the probability that Milwaukee wins the World Series is 1/20, what is the approximate probability that either Green Bay wins the Super Bowl or Milwaukee wins the World Series?
Choices:
1/12
1/8
1/7
4/3
Answer: B
Question: A man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
Choices:
26 years
20 years
22 years
None
Answer: A
Question: 10, 20, 12, 24, 16, 32, ?
Choices:
21
22
23
24
Answer: D
Question: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
21
66
77
81
Answer: A
Question: Puzzle !!! 🙂
if
111 = 09
444 = 12
777 = 15
then
888 = ???
Choices:
17
18
11
15
Answer: D
Question: In a consumer survey, 65% of those surveyed liked at least one of three products: 1, 2, and 3. 40% of those asked liked product 1, 35% liked product 2, and 15% liked product 3. If 7% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
14
16
18
20
Answer: C
Question: A man can row upstream at 10 kmph and downstream at 20 kmph, and then find the speed of the man in still water?
Choices:
77
25
88
34
Answer: B
Question: A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
72.9
73
74
74.5
Answer: A
Question: In a forest 150 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 20 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choices:
6,000
1,250
1,500
2,500
Answer: A
Question: What is the sum of all even numbers from 1 to 801?
Choices:
160400
281199
122850
128111
Answer: A
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
480
300
550
400
Answer: A
Question: Of the diplomats attending a summit conference, 25 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference?
Choices:
70
108
120
150
Answer: A
Question: A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $5680. What is the average monthly balance maintained by John in his
account during the year?
Choices:
5680
6840
7540
28400
Answer: D
Question: In a hostel there were 100 students. To accommodate some more students the average budget is decreased by rupees 10. But total expenditure increased by Rs.400. If the total expenditure of the hostel now 5400, find the number of student joined?
Choices:
20
35
32
40
Answer: C
Question: Which one of the given numbers is completely divisible by 45?
Choices:
202860
112330
112332
None of these
Answer: A
Question: lexus car agency has 243 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is?
Choices:
37
72
39
40
Answer: B
Question: 39 persons can repair a road in 12 days, working 10 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
13
14
15
26
Answer: D
Question: How many zeros does 65! end with?
Choices:
15
25
30
32
Answer: A
Question: What is the units digit of (3^16)(4^13)?
Choices:
4
6
7
8
Answer: A
Question: A sum of money becomes 7/6 of itself in 5 years at a certain rate of simple interest. The rate per annum is?
Choices:
20/3
23/6
10/3
10/7
Answer: C
Question: A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
6 Sec
8 Sec
9 Sec
5 Sec
Answer: C
Question: In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6552000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
Choices:
13000000
14000
12000
None of these
Answer: A
Question: Simplify: 0.3*0.3+0.3*0.3
Choices:
0.42
0.18
0.64
0.46
Answer: B
Question: A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the Capital ?
Choices:
20778
23788
9000
2811
Answer: C
Question: How many multiples of 2 are there between 0 and 100, exclusive ?
Choices:
47
46
45
49
Answer: D
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be red and the other will be black?
A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
Choices:
1/2
1/8
1/16
1/32
Answer: A
Question: For the past n days, the average (arithmetic mean) daily production at a company was 30 units. If today's production of 90 units raises the average to 35 units per day, what is the value of n ?
Choices:
18
10
9
3
Answer: D
Question: The G.C.D of 1.08, 0.42 and 0.9 is
Choices:
0.1
0.06
0.11
0.12
Answer: B
Question: The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits X of the larger integer?
Choices:
X=2
X=8
10
11
Answer: A
Question: John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance w before he stops, what percent longer would Karen have run than she would have had John been able to maintain his constant rate until they met.
Choices:
25%
75%
100%
200%
Answer: A
Question: If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+79)=?
Choices:
4250
4350
4800
4150
Answer: C
Question: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Choices:
71
75
78
79
Answer: C
Question: Find large number from question the difference of two numbers is 1365.On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?
Choices:
1455
1535
1615
1635
Answer: D
Question: In a friendship gang Raja has 9 gang, in how many ways can he invite one or more of the gang to his house?
Choices:
587
987
511
263
Answer: C
Question: The average height of 20 girls out of a class of 50 is 142 cm. and that of the remaining girls is 149 cm. The average height of the whole class is :
Choices:
146.2 cms
146.9 cms
142.2 cms
136.2 cms
Answer: A
Question: A certain bag contains 60 balls — 22 white, 18 green, 5 yellow, 6 red, and 9 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.15
0.54
0.75
0.91
Answer: C
Question: A boy runs 200 metres in 60 seconds. What is his speed ?
Choices:
12 km/hr
13 km/hr
14 km/hr
16 km/hr
Answer: A
Question: In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 75 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
Choices:
2%
8%
10%
15%
Answer: A
Question: A man spends 50% of his income on food, 15% on children education and 50% of the remaining on house rent. What percent of his income he is left with?
Choices:
17.5%
15.4%
12.6%
13.5%
Answer: A
Question: There are 12 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 12 points that contain the point A?
Choices:
55
182
210
455
Answer: A
Question: The monthly income of Suman in the year 2009 was approximately what percentage of the monthly income of Jyothi in the year 2010?
Choices:
27
26
29
21
Answer: B
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
900
960
450
280
Answer: B
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Choices:
432
279
269
207
Answer: A
Question: The letters B,G,I,N and R are rearranged to form the word 'Bring'. Find its probability.
Choices:
1/120
1/24
1/76
1/53
Answer: A
Question: What is the 25th digit to the right of the decimal point in the decimal form of 6/11?
Choices:
4
5
6
7
Answer: B
Question: On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 19 more transactions than Cal. How much transactions did Jade handled?
Choices:
81
82
83
85
Answer: D
Question: Subtracting 10% from X is the same as multiplying X by what number?
Choices:
90%
50%
97%
10%
Answer: A
Question: In the simple subtraction problem below some single digits are replaced by letters .Fined the value of 7A+5D+6CD?
Choices:
3799
277
278
7A+5D+6CD=240
Answer: D
Question: Caleb spends $74.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?
Choices:
10
20
40
49
Answer: D
Question: A girl has exactly 6 quarters, 6 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter?
Choices:
2
3
4
5
Answer: B
Question: In a ratio which is equal to 4:6, if the antecedent is 20, then the consequent is?
Choices:
85
30
51
45
Answer: B
Question: A certain team has 14 members, including Joey. A three-member relay team will be selected as follows: one of the 14 members is to be chosen at random to run first, one of the remaining 13 members is to be chosen at random to run second, and one of the remaining 12 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
Choices:
2/5
1/6
1/7
5/14
Answer: C
Question: When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Choices:
Rs. 22,500
Rs. 25,300
Rs. 25,800
Rs. 55,800
Answer: B
Question: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 60 percent of b, what is the value of m/x?
Choices:
2/5
3/4
3/2
2/3
Answer: A
Question: The sum of two consecutive integers is 61. Find the numbers.
Choices:
30,31
5, 6
1, 2
8, 9
Answer: A
Question: Average between 2 sets of numbers is closer to the set with more no's?
Choices:
80
90
92
94
Answer: A
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is?
Choices:
A)16
C)14
D)12
E)11
Answer: A
Question: If it takes a machine 4⁄5 minute to produce one item, how many items will it produce in 2 hours?
Choices:
150
80
120
180
Answer: A
Question: If points A and B are (4+1) units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB
Choices:
I only
III only
I and II only
I and III only
Answer: A
Question: In a party attended by 10 persons, each clinch their glass with every other. How many glass clinches?
Choices:
45
53
54
55
Answer: A
Question: If the positive integer y is divisible by 3, 8, and 12, then which of the following must y be divisible by?
I. 24
II. 36
III. 48
Choices:
I only
I and II only
II and III only
I, II, and III
Answer: A
Question: How many possible integer values are there for x if |6x - 3| < 6 ?
Choices:
Two
Three
Four
Five
Answer: A
Question: If |x - 8| = x, then x=?
Choices:
4
-4
0
2
Answer: A
Question: At what rate percent per annum will a sum of money double in 8 years.
Choices:
12.5%
11.5%
14.5%
24.5%
Answer: A
Question: The L.C.M of two numbers is 48. The numbers are in the ratio 1:2. The sum of numbers is:
Choices:
30
40
50
72
Answer: D
Question: 225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
10
15
17
18
Answer: A
Question: How many multiples of 5 are there between 5 to 100?
Choices:
18
17
none of these
Cannot be determined
Answer: A
Question: If V is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of V?
Choices:
12
14
16
18
Answer: B
Question: Which of the following is the equation of the line in the xy-plane that has slope 0
(I) x = 3
(II) y = 3
(III) x + y = 0
Choices:
II
III
I&II
II&III
Answer: A
Question: The cost of the paint is rs.20 per kg. if 1kg of paint covers 15 sq.ft, how much will it cost to paint outside of a cube having 5 feet each side
Choices:
Rs.200
Rs.546
Rs.876
None of these
Answer: A
Question: Find the average of first 30 natural numbers.
Choices:
15.5
19.5
19
17
Answer: A
Question: If there are 56 laborers in a crew, and on a certain day, 30 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
Choices:
53.6%
54.6%
55.6%
59.6%
Answer: A
Question: A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Choices:
14 days
13 days
11 days
10 days
Answer: C
Question: Two horses begin running on an oval course at the same time. One runs each lap in 8 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
Choices:
24
9
4
3
Answer: A
Question: Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $80, what was the final price of the sweater?
Choices:
$35.75
$15.75
$ 45.75
$42
Answer: D
Question: In how many different number of ways 4 boys and 2 girls can sit on a bench?
Choices:
720
760
780
800
Answer: A
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choices:
3 : 4 : 7
3 : 4 : 2
3 : 4 : 1
3 : 4 : 5
Answer: A
Question: The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum R of all the digits of the integers from 0 to 99 inclusive?
Choices:
810
900
1000
1100
Answer: B
Question: The overall age of X and Y is 18 year greater than the overall age of Y and Z. Z is how many decades younger that X?
Choices:
15
12
17
18
Answer: D
Question: How many positive factors do 150 and 90 have in common?
Choices:
8
16
18
24
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?
Choices:
3:1
2:3
3:2
3:4
Answer: C
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:
8
12
14
16
Answer: B
Question: A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35 7/17. What was the number erased?
Choices:
SEVEN 7
9
15
17
Answer: A
Question: If (x # y) represents the remainder that results when the positive integer x is divided by the positive integer y, what is the sum of all the possible values of y such that (16 # y) = 1?
Choices:
9
16
23
24
Answer: C
Question: The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 33∘, the temperature of Friday was :
Choices:
41∘
38∘
30∘
None of these
Answer: A
Question: Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5, 6}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
Choices:
3/7
5/49
6/49
30/343
Answer: B
Question: How many positive integers e less than 30 have no common prime factor with 30?
Choices:
6
7
8
9
Answer: C
Question: If A : B = 4 : 7 and B : C = 5 : 9 then A : B : C is :
Choices:
ratio 20 : 35 : 63
30 : 35 : 65
25 :34: 68
None of these
Answer: A
Question: 17 balls are numbered 1 to 17. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
Choices:
3/14
5/23
7/34
9/41
Answer: C
Question: A train crosses a platform of 140 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
190
77
62
52
Answer: A
Question: Out of 7 consonants and 4 vowels, how many words of 4 consonants and 2 vowels can be formed?
Choices:
151200
210
120
720
Answer: A
Question: The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 50 and n is not prime, what is the greatest possible value of f(n)?
Choices:
35
31
32
28
Answer: A
Question: A cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
Choices:
8.9
8.6
8.3
9.0
Answer: A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2000
2278
2081
2721
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
2771
1261
1121
Answer: A
Question: In some language, 'COLLEGE' is written as 'FSOPHKH' and 'SCHOOL' is wriiten as 'VGKSRP'. Then What is for "STUDENT"??
Choices:
VXXHIRW
VXWHIRX
VXXHHRW
VXXHHRS
Answer: C
Question: Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Choices:
25
35
45
55
Answer: B
Question: 4.036 divided by 0.02 gives :
Choices:
1.06
10.06
201.8
100.9
Answer: C
Question: The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?
Choices:
29
88
28
11
Answer: A
Question: For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 80 terms?
Choices:
21
40/41
80/81
160/161
Answer: C
Question: A box contains ten bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Choices:
5/21
7/21
6/21
8/21
Answer: A
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
Choices:
12
10
13
10.5
Answer: B
Question: If 25th of August in a year is Thursday, the number of Mondays in that month is
Choices:
5
2
3
1
Answer: A
Question: A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 7 hats randomly out of the drawer and returning each hat before taking out the next one?
Choices:
5/8
9/16
17/32
35/64
Answer: D
Question: Set A contains all the even numbers between 12 and 50 inclusive. Set B contains all the even numbers between 112 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
2000
5050
6275
11325
Answer: A
Question: A person incurs 20% loss by selling a watch for $1000. At what price should the watch be sold to earn 20% profit?
Choices:
$950
$1500
$1150
$1250
Answer: B
Question: What is the greatest power that 4 can be raised to so that the resulting number is a factor of 24!?
Choices:
3
4
5
6
Answer: D
Question: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
Choices:
5 5/9
5 5/2
5 5/8
5 5/1
Answer: A
Question: Two pipes can fill a tank in 10 hours and 12 hours. While the 3rd pipe empties the full tank in 20hours. If all the 3 pipes are open in how much time will the tank be filled?
Choices:
5hr
7hr 30min
8hr 20min
9hr
Answer: B
Question: A particular parking garage is increasing its rates by 25 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month?
Choices:
18%
20%
25%
30%
Answer: B
Question: Which pair of numbers has least and maximum frequency in the given sequence?
8 7 5 6 4 5 8 3 8 6 7 2 3 5 8 3 5 7 6 4 7 6 5
Choices:
4 and 5
2 and 6
2 and 5
2 and 7
Answer: C
Question: What is the diference between the place value and face value of 3 in the numeral 1375?
Choices:
297
300
310
312
Answer: A
Question: Which of the following integers is NOT a divisor of x if x = (21)(3^6) – (109)?
Choices:
5
18
19
25
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
288
240
775
2321
Answer: B
Question: Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 19.8 The difference between the unit digit and hundreds digit of that number is :
Choices:
2
5
3
4
Answer: A
Question: A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4kmph
5.1kmph
6kmph
7kmph
Answer: B
Question: A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Choices:
2/91
5/25
8/45
7/56
Answer: A
Question: Working alone, pump A can empty a pool in 4 hours. Working alone, pump B can empty the same pool in 6 hours. Working together, how many minutes will it take pump A and pump B to empty the pool?
Choices:
138
144
150
156
Answer: B
Question: The ratio of spinsters to cats is 2 to 7. If there are 55 more cats than spinsters, how many spinsters are there?
Choices:
21
22
23
24
Answer: B
Question: If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the E odds that x^2+y^2>1?
Choices:
2. E=pi/16
3. E=1-pi/4
4. 1-pi/16
5.4-pi
Answer: B
Question: A charity collected $1,299 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have?
Choices:
64
66
68
69
Answer: A
Question: (168% of 1265) ÷ 6 = ?
Choices:
A)354
C)225
D)375
E)524
Answer: A
Question: A 13% stock yields 8%.The market value of the stock is :
Choices:
Rs. 92
Rs. 162.50
Rs. 116.50
None of these
Answer: B
Question: In what ratio must tea of Rs.42 per kg be mixed with tea of Rs.50 per kg so that cost of mixture is Rs.45 per kg?
Choices:
5:3
2:3
3:4
1:2
Answer: A
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 70 with him, what was the average amount with the group before his joining the group?
Choices:
s. 70/3
s. 16.6
s. 26/3
s. 25
Answer: A
Question: The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 60% more than the price of the other, what is the price of each of these two oranges?
Choices:
Rs 8, Rs 12
Rs 10, Rs 16
Rs 12, Rs 14
None of these
Answer: B
Question: A man can row with a speed of 20 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?
Choices:
378
20
30
121
Answer: C
Question: The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
Choices:
120
272
827
278
Answer: A
Question: Pipe A can fill a tank in 2 hours, pipe B in 4 hours and pipe C in 4 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
1
3
4
5
Answer: A
Question: If a person walks at 10 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Choices:
76 km
20 km
16 km
97 km
Answer: B
Question: A two digit number, digits interchange places and the new number is added to the original number, then the resulting number will be divisible by?
Choices:
11
13
15
16
Answer: A
Question: if 5 boys take two hours to water the garden, then how long should 10 boys take to water the same type of garden?
Choices:
50 min
30 min
65 min
60 min
Answer: D
Question: A train 125 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
51
79
80
Answer: B
Question: Eight family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
Choices:
1240
1440
1640
1840
Answer: B
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 160 m, in what time will they cross other travelling in opposite direction?
Choices:
12 sec
16 sec
15 sec
18 sec
Answer: B
Question: Excluding stoppages, the speed of a train is 50 kmph and including stoppages it is 30 kmph. Of how many minutes does the train stop per hour?
Choices:
17
12
24
18
Answer: C
Question: How many arrangements can be made out of the letters of the word 'ENGINEERING' ?
Choices:
277200
69300
23100
45380
Answer: A
Question: From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 10 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
Choices:
39
40
41
42
Answer: C
Question: On a map, 1 centimeter represents 17 kilometers. Two cities 663 kilometers apart would be separated on the map by how many centimeters?
Choices:
27
39
270
480
Answer: B
Question: In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-one students are registered for History, twenty-six students are registered for Math, and thirty-four students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Choices:
10
9
8
7
Answer: D
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 18 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
Choices:
72
60
Data inadequate
None of these
Answer: A
Question: Which is longest: a foot, a yard or an inch?
Choices:
a yard
foot
feet
cm
Answer: A
Question: If p and q are integers, such that p < 3 < q, and s is a nonnegative integer, which of the following must be true?
Choices:
p + q = 0
sp < sq
sp ≠ sq
p/q < s
Answer: A
Question: A grocer stacked apples in a pile. The bottom layer was rectangular with 3 rows of 5 apples each. In the second layer from the bottom, each apple rested on 4 apples from the bottom layer, and in the third layer, each apple rested on 4 apples from the second layer. Which of the following is the maximum number of apples that could have been in the third layer?
Choices:
3
6
2
1
Answer: A
Question: The radius of a sphere is increased by 50%. The increase in surface area of the sphere is :
Choices:
125
186
197
191
Answer: A
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
7
6
65
Answer: A
Question: How much is 80% of 40 is greater than 2/5 of 25?
Choices:
22
18
12
81
Answer: A
Question: Given two sets A = {1,1,2,2,7,7} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
Choices:
1/6
1/2
1/3
1/4
Answer: B
Question: Of the three-digit integers greater than 700, how many have distinct digits?
Choices:
216
80
45
36
Answer: A
Question: Find the compound interest on $ 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly
Choices:
824.36
824.32
824.24
824.26
Answer: B
Question: There are n cities. What is the number of airlines that connected 5 different cities (airline from city A to city B is different with airline from city B to city A)?
Choices:
n(n+1)
n(n-1)/2
n(n-3)
n2
Answer: C
Question: What is the probability that a two digit number selected at random is a multiple of 3 and not a multiple of 5 ?
Choices:
2/15
4/15
7/15
None of these
Answer: B
Question: The sale price of a trolley bag including the sale tax is Rs. 280. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
Choices:
Rs 200
Rs 260
Rs 280
None of these
Answer: A
Question: How many factors of 990 are odd numbers greater than 1?
Choices:
14
15
16
17
Answer: B
Question: A sum of Rs.1420 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
Choices:
5B, 8G
4B, 9G
9B, 4G
6B, 7G
Answer: D
Question: For some integer p, p^2 - 5 is divisible by all of the following EXCEPT
Choices:
30
41
29
31
Answer: A
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 1200 per sq. metre.
Choices:
Rs. 15550
Rs. 24750
Rs. 16500
None of these
Answer: B
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr
Choices:
28 Seconds
30 Seconds
35 Seconds
40 Seconds
Answer: B
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
Choices:
4
11
12
13
Answer: D
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 105. What is that number?
Choices:
29
27
15
99
Answer: C
Question: The Present worth of Rs.2310 due years hence ,the rate of interest being 15% per annum, is :
Choices:
Rs.1750
Rs.1680
Rs.1840
None of these
Answer: B
Question: All even numbers from 2 to 98 inclusive, except those ending in 0, are multiplied together what is the rightmost digit (the units digit) of the product?
Choices:
2
4
6
8
Answer: C
Question: A basket contains 5 apples of which one is rotten. If Henry is to select 2 apples from the basket simultaneously and at random what is the probability that the 2 apples selected will include the rotten apple?
Choices:
3/10
2/5
1/2
3/5
Answer: B
Question: What is the units digit of 29! + 50! + 3! + 3!?
Choices:
2
4
6
8
Answer: A
Question: If the milk and water ware added in the ratio 5:4 then how much more water should be added so he gets the ratio of 6:7.
Choices:
11/6
11/8
6/11
7/11
Answer: A
Question: if 5 tomatoes are worth 8 oranges,5 oranges are worth 4 apples, 7 apples are worth 3 pineapples and 7 pineapples cost rs.203,then he approx price of each tomato is
Choices:
16
19
20
none of these
Answer: A
Question: A school’s annual budget for the purchase of student computers increased by 60% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Choices:
33.33%
42%
48%
60%
Answer: A
Question: An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?
Choices:
1/12
1/2
3/4
3/8
Answer: B
Question: In a class there are 55 pupil, out of them 10 are in debate only and 18 in singing only. Then how many in both?
Choices:
26
17
11
12
Answer: B
Question: Anna left for city A from city B at 5.20 a.m. She traveled at the speed of 80 km/hr for 2 hrs 15 min. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?
Choices:
9.25 a.m
9.35 a.m
10.05 a.m
None of these
Answer: D
Question: If point A coordinates are (-6, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
Choices:
(2, -2/3)
(2/3, -2)
(0, 2)
(2, 2/3)
Answer: A
Question: Of the 420 members at a health club, 260 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:
Choices:
200 to 260
220 to 260
220 to 300
40 to 100
Answer: A
Question: A seller of used cars has 10 cars to sell and each of his clients selected 2 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
Choices:
10
15
14
16
Answer: B
Question: A man sells a car to his friend at 13% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
Choices:
Rs.31724.14
Rs.51724.14
Rs.61724.14
None of these
Answer: B
Question: Three people each took 6 tests. If the ranges of their scores in the 6 practice tests were 17, 28 and 35, 42 what is the minimum possible range in scores of the three test-takers?
Choices:
b) 28
c) 35
d) 45
e) 80
Answer: C
Question: A room 5.44m long and 3.74m broad is to be paved with square tiles. The least number of square tiles required to cover the floor is:
Choices:
176
184
162
172
Answer: A
Question: A textile manufacturing firm employees 125 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 125 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
Choices:
7000
10000
2800
None of these
Answer: C
Question: P, Q and R started a business by investing Rs.120000, Rs.135000 and Rs.150000 respectively. Find the share of each, out of the annual profit of Rs.56700.
Choices:
16800, 18900, 21000
17850, 18900, 22000
18900, 17850, 21000
21000, 18900, 17850
Answer: A
Question: In a class of 40 students, 5 students did not borrow any books from the library, 15 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ?
Choices:
5
8
13
18
Answer: D
Question: What least number must be subtracted from 427398 so that remaining no.is divisible by 14
Choices:
5
6
7
8
Answer: B
Question: If the perimeter of a rectangular stadium is 800 m, its length when its breadth is 300 m is?
Choices:
400
300
200
100
Answer: D
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
27
16
29
24
Answer: B
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 18,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Choices:
8,500,148 kilometers squared
9,843,123 kilometers squared
1,878,965 kilometers squared
4,787,900 kilometers squared
Answer: A
Question: On a scale that measures the intensity of a certain phenomenon, a reading of n+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
Choices:
50
10^5
5^10
8^10 - 3^10
Answer: B
Question: If it takes a tub 4 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?
Choices:
1 minute, 12 seconds
1 minute, 36 seconds
2 minutes, 14 seconds
4 minutes, 12 seconds
Answer: B
Question: if none of the figures 2,4,5,7,8,0 be repeated,how many different numbers of 4 digits can be formed wiyh them.?
Choices:
200
250
300
350
Answer: C
Question: Find the least multiple of 23,which when divided by 18,21 and 24 leaves remainders 7,10 and 13 respectively.
Choices:
3013
3024
3036
None of these
Answer: A
Question: In how many ways can the letters of the word AGENDA be rearranged such that the vowels always appear together?
Choices:
3!*3!
4!/2!
(4! *3!)/2!
3!*3!/2
Answer: C
Question: At a kennel with 80 dogs, 45 of the dogs wear tags and 40 wear flea collars. If 6 of the dogs wear both, then how many of the dogs wear neither a collar nor tags?
Choices:
1
34
79
85
Answer: A
Question: The difference between a two-digit number and the number after interchanging the position of the two digits is 36. What is the difference between the two digits of the number?
Choices:
4
3
Cannot be determined
None of these
Answer: A
Question: 3 litre of water is added to 11 litre of a solution containing 42% of alcohol in the water. The percentage of alcohol in the new mixture is?
Choices:
33%
35%
40%
45%
Answer: A
Question: The population of a town is 10000. It increases annually at the rate of 27% p.a. What will be its population after 2 years?
Choices:
14400
16129
14600
14700
Answer: B
Question: Find the no of ways in which 6 toffees can be distributed over 5 different people namely A,B,C,D,E.
Choices:
210
212
213
214
Answer: A
Question: The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $6.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
Choices:
$5.10
$5.30
$5.50
$6.50
Answer: D
Question: The three competitors in a race have to be randomly chosen from a group of four men and three women. How many different such trios contain at least one woman?
Choices:
15
16
31
46
Answer: C
Question: Four percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds?
Choices:
20%
25%
60%
72%
Answer: D
Question: There are three guys who have equal number of bullets. All of them shoot 12 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Choices:
19
30
45
54
Answer: D
Question: What is the sum of all four digit integers formed using the digits 3 ,4 ,5 and 6 (repetition is allowed)
Choices:
1279872
1279875
1279876
1279870
Answer: A
Question: Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?
Choices:
015
17
19
11
Answer: A
Question: Y invested $1000 in a business and Z invested $3000 in a business. At the end of the year they got $4000 as the profit. Find their share?
Choices:
$2000,$3000
$1000,$3000
$2000,$3000
$3000,$4000
Answer: B
Question: If the price of petrol increases by 25% and Bill intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
Choices:
A)8%
C)10%
D)6%
E)9%
Answer: A
Question: A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
Choices:
2887
2668
1200
1765
Answer: C
Question: What is the difference between the place value of 2 in the numeral 7889?
Choices:
165
180
190
720
Answer: D
Question: If two balls are randomly selected from a green urn containing 7 black and 7 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
Choices:
B.4/9
C.3/13
D.1/3
E.1/9
Answer: B
Question: What is the probability of rolling a total of 4 with a single roll of two fair six-sided dice, each with the distinct numbers 1 through 6 on each side?
Choices:
1/12
2/7
1/3
1/2
Answer: A
Question: The age of man is three times the sum of the ages of his two sons. Six years hence,his age will be double of the sum of the ages of his sons.The fatherâ€™s present age is :
Choices:
45 years
50 years
54 years
75 years
Answer: C
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 14000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
Choices:
21
22
28
NONE
Answer: C
Question: A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel?
Choices:
130
126
135
156
Answer: B
Question: A sum of money at simple interest amounts to 815 in 3 years and to 854 in 4 years. The sum is:
Choices:
698
373
593
372
Answer: A
Question: What is the are of an equilateral triangle of side 16 cm?
Choices:
64√7
64√5
64√3
64√1
Answer: C
Question: In a certain school, the ratio of boys to girls is 5 to 13. If there are 80 more girls than boys, how many boys are there?
Choices:
36
45
50
117
Answer: C
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Choices:
165 ways
156 ways
186 ways
618 ways
Answer: A
Question: Find the unit's digit in the product 2467 153 * 34172?
Choices:
2
3
6
7
Answer: D
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
100/7 sec
57/7 sec
120/7 sec
50/7 sec
Answer: A
Question: There is a point P on the circle. A and B started running in two constant different speeds. A in Clockwise and B in Anti-clockwise. First time 500 m in Clockwise from P then 400 Anti-clockwise. If B is yet to complete one round, What is the circumference of the circle?
Choices:
700
900
1000
1100
Answer: A
Question: It is required to seat 3 boys and 2 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Choices:
2148
3680
3280
96
Answer: D
Question: What is the smallest integer z for which 27^z> 3^24?
Choices:
8
9
10
12
Answer: B
Question: Its festive time and all big companies are offering the big discount especially on iPhone whose price is staggering Rs. 65,000.
Following is the offer from the three major companies in India.
: Amazon offers Flat 65% discount
: Flipkart offers 10% discount over and over again.
: Snapdeal offers RS 42,000 off.
Which is the best offer for you ?
Choices:
Flipkart
Snapdeal
All
None of Above
Answer: A
Question: 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 45% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase?
Choices:
25
13
45
75
Answer: B
Question: A retailer set the tag price of an item at $200. On a certain public holiday, the retailer set a 20% discount on the tag price, thinking that he will still make a profit equal to 25% of the price he had originally paid for the item. How much did the retailer originally pay for the item?
Choices:
$120
$128
$144
$160
Answer: B
Question: Find the compound interest on $1000 in 2years at 4% per annum, the interest being compounded half-yearly?
Choices:
$82.43
$954.26
$745.69
$1020.45
Answer: A
Question: The average weight of 8 girls increases by 3 kg when a new girl comes in place of one of them weighing 70 kg. What might be the weight of the new girl?
Choices:
94 kg
96 kg
97 kg
98 kg
Answer: A
Question: A package contains 8 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
5/9
6/8
7/9
1/3
Answer: A