antoine-444/aqua_rat_dataset huggingface dataset:
Question: Andrew investe 12 percent of his March earnings. In April he earned 20 percent more than he did in March, and he invested 9 percent of his April earnings. The amount he invested in April was what percent of the amount he invested in March?
Choices:
90%
100%
110%
120%
Answer: A
Question: Kelly has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 8%, the second pay cut was 14% and the third was 18%. What will be the percentage decrease, if the salary is decreased in a single shot?
Choices:
34.12%
32.12%
35.12%
31.12%
Answer: C
Question: An amount of money is to be distributed among P, Q and R in the ratio of 5 : 8 : 12 respectively. If the total share of Q and R is four times that of P, what is definitely P’s share?
Choices:
5,000
8,000
Data inadequate
None of these
Answer: C
Question: Find the 12th term of an arithmetic progression whose first term is 2 and the common difference is 8.
Choices:
38
44
90
96
Answer: C
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 2 cm when a man gets on it. The mass of man is
Choices:
60 kg
72 kg
120 kg
None
Answer: C
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Choices:
B)28.5
C)30
inadequate
of these
Answer: B
Question: At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:85. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
Choices:
141
142
143
144
Answer: A
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
7.4
7.9
7.2
7.1
Answer: C
Question: If z is a multiple of 9702, what is the remainder when z^2 is divided by 4?
Choices:
0
2
3
It depends on z.
Answer: A
Question: Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?
Choices:
400
410
423
445
Answer: A
Question: One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 6 robots altogether, if the robots build only one robot at a time?
Choices:
94 min
109 min
114 min
120 min
Answer: C
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/22
5/25
5/27
Answer: A
Question: An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 10000 people who applied for the army and 350 were finally selected, what was the value of N?
Choices:
5
6
9
8
Answer: C
Question: A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked.
Choices:
21/46
21/42
26/46
21/43
Answer: A
Question: In a division, when a student mistook the divisor as 12 instead of 21 and obtained 35 as quotient the remainder is 0 . What is the correct quotient?
Choices:
18
20
24
29
Answer: B
Question: What are the next two numbers in this sequence?
7, 14, 17, 21, 27, 28, 35, 37, ?
Choices:
41
42
43
44
Answer: B
Question: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Choices:
10
15
20
25
Answer: C
Question: Which of the following is a possible length for side AB of triangle ABC if AC = 3 and BC = 9?
I. 6
II. 9 √3
III. 11.5
Choices:
II only
III only
II and III
I, II, and III
Answer: B
Question: At a certain pizza parlor, the diameter of a large pizza is 40% larger than the diameter of a small pizza. What is the percent increase in total amount of pizza, from a small to a large?
Choices:
40%
64%
80%
96%
Answer: D
Question: In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.
Choices:
15
21
25
18
Answer: A
Question: At a certain university, 70% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
Choices:
37.5
50
62.5
75
Answer: B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
77 kmph
14 kmph
88 kmph
12 kmph
Answer: B
Question: Which of these must the factor M of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
Choices:
M=2,3 only
M=1,2,3 only
M=1,2,3,4 only
All of them
Answer: C
Question: Of the 800 employees in a certain company, 70% have serviced more than 10 years. A number of y of those who have serviced more than 10 years will retire and no fresh employees join in. What is y if the 10 years employees become 60% of the total employees?
Choices:
200
250
450
550
Answer: A
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Choices:
6
8
10
12
Answer: C
Question: Arun borrowed a sum of money from Jayant at the rate of 8% per annum simple interest for the first four years, 10% per annum for the next six years and 12% per annum for the period beyond ten years. If he pays a total of 12,160 as interest only at the end of 15 years, how much money did he borrow?
Choices:
8000
12,000
9,000
None of these
Answer: A
Question: If Q is an odd number and the median of Q consecutive integers is 130, what is the largest of these integers?
Choices:
Q/2 + 129
Q/2 + 130
(Q + 129)/2
(Q - 1)/2 + 130
Answer: D
Question: An article is bought for Rs.675 and sold for Rs.1215, find the gain percent?
Choices:
33 8/3%
33 1/3%
33 2/3%
80%
Answer: D
Question: A car traveled from San Diego to San Francisco at an average speed of 54 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Choices:
32.
36.
42.
44.
Answer: B
Question: If (400)(7,000) = (28,000)(100^x), what is the value of x?
Choices:
4
3
2
1
Answer: D
Question: In g is a positive integer smaller than 200 and (14g)/60 is an integer, then g has how many different positive prime factors?
Choices:
3
5
6
8
Answer: A
Question: Calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 9, 10, 14 and 18 seconds. ?
Choices:
631
633
610
630
Answer: D
Question: A monkey start climbing up a tree 21 ft tall.Each hour it hops 3 ft and slips back 2 ft. How much time would it take the monkey to reach the top.
Choices:
18 hrs
19 hrs
17 hrs
16 hrs
Answer: B
Question: A grocery shop has a sale of Rs. 6735, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
4184
4012
4691
5291
Answer: C
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long S will the conference last if there are a total of 6 seminars that day?
Choices:
5 hours and 20 minutes
5 hours and 25 minutes
5 hours and 30 minutes
5 hours and 35 minutes
Answer: A
Question: If abc represents a positive three-digit number, where a, b and c are one-digit integers, which of the following CAN be true?
Choices:
a – b - c = 9
b – c - a = 9
Both A and C
Both A and B
Answer: D
Question: Mayank Bothra purchased 20 dozens of toys at the rate of 375 Rs per dozen .He sold each one of them at the rate of Rs 33.What was his percentage profit?
Choices:
5.6 %
7.5 %
7.6 %
None
Answer: A
Question: Nine persons went to a hotel for taking their meals. Eight of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them.
Choices:
Rs. 116
Rs. 117
Rs. 118
None
Answer: B
Question: N and M are each 3-digit integers. Each of the numbers 3,4, 5, 6, 7, and 8 is a digit of either N or M. What is the smallest possible positive difference between N and M?
Choices:
49
58
113
131
Answer: A
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:9. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
9
13
10
12
Answer: A
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
1/3
1/6
1/2
1/5
Answer: A
Question: A sum of money deposited at C.I. amounts to Rs.1820 in 4 years and to Rs.2402 in 5 years. Find the rate percent?
Choices:
31%
34%
19%
50%
Answer: A
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
6:9
6:5
6:1
6:4
Answer: B
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. 80 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 8.6 years and the standard deviation is 3.4 years, what percent of the distribution has more than 12.0 years as a shelf’s average life?
Choices:
22%
21%
20%
19%
Answer: C
Question: The simple interest on a sum of money will be Rs. 600 after 10 years.If the principal is trebled after 5 years,what will be the total interest at the end of the tenth year ?
Choices:
Rs. 900
Rs. 1200
Rs. 1500
None
Answer: B
Question: A hall 20m long and 15m broad is surrounded by a verandah of uniform width of 2.5m. The cost of flooring the verandah at the rate of Rs.3.50 per sq. meter is
Choices:
600
650
700
750
Answer: C
Question: If the LCM of A and B is 72 and their HCF is 6, what is the product of A & B?
Choices:
432
434
435
436
Answer: A
Question: If a,b,c,d,e is an arithmetic sequence which of the following is also an arithmetic sequence?
I. 5a, 5b, 5c, 5d, 5e
II. a-6, b-6, c-6, d-6, e-6
III. a^8, b^8, c^8, d^8, e^8
Choices:
I and II
II and III
III only
I only
Answer: A
Question: Sonika bought a V.C.R. at the list price of 18,500. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.
Choices:
19,980
19,680
19,380
None of these
Answer: A
Question: The two lines y=x and x=-6 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
Choices:
14
16
18
20
Answer: C
Question: Find the simple interest on $10000 at 4% per annum for 12 months?
Choices:
$400
$650
$710
$1000
Answer: A
Question: In Town X, 64 percent of the population are employed, and 45 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
25%
30%
40%
52%
Answer: B
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40 sec
26 sec
27 sec
34 sec
Answer: A
Question: If, for all positive integer values of n, P(n) is defined as the sum of the smallest n prime numbers, then which of the following quantities are odd integers?
I. P(10)
II. P(P(10))
III. P(P(P(10)))
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: B
Question: A beekeeper has 900,000 bees living in ten beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?
Choices:
109756
46700
657587
4645747
Answer: A
Question: Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -9 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
Choices:
-9,9,9
1,1,1
-9,81,9
9,9,81
Answer: C
Question: The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.35. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
B)0.7
C)0.895
D)0.7531
E)0.8213
Answer: B
Question: Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Choices:
Rs 300
Rs 400
Rs 500
Rs 600
Answer: B
Question: A company produces on an average 4000 items per month for the first 3 months. How many items it must produce on an average per month over the next 9 months, to average of 4375 items per month over the whole?
Choices:
4500
4680
4710
None
Answer: A
Question: A number is increased by 30 % and then decreased by 30 %. Find the net increase or decrease per cent.
Choices:
9%
7%
3%
6%
Answer: A
Question: Set M contains numbers that satisfy the condition that, if integer x is in the set then x+1 will also be in the set M. If 0 is one of the value in the set, which of the following numbers must also be present in the set M.
I. 1
II. 3
III. 2
Choices:
II only
I and II only
II and III only
I, II and III
Answer: D
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
10 minutes
15 minutes
12 minutes
18 minutes
Answer: A
Question: The value of land increases by m% during June and decreases by n% during July. If the value of the land is the same at the end of July as at the beginning of June, what is n in terms of m?
Choices:
100m/(100+m)
m(2+m)/(1+m)2
m(200+m)/10000
2m/m+2m
Answer: A
Question: If a rectangular room measures 8 meters by 5 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter=100 centimeters)
Choices:
16,000,000
2,400,000
24,000,000
240,000,000
Answer: A
Question: In 26 minutes, the minute hand gains over the hour hand by
Choices:
125°
143°
158°
172°
Answer: B
Question: The total of 342 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
Choices:
290
278
200
288
Answer: A
Question: Ben earns $12,800 a year. About 15% is taken out for taxes.
How much is taken out for taxes?
Choices:
$11920
$1920
$19820
$10920
Answer: B
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 1/5%
11 1/9%
11 12%
11 5/9%
Answer: B
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 50%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
50% decrease
40% decrease
40% increase
50% increase
Answer: B
Question: By selling an Shirt for $300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:
Choices:
2%
8%
5%
6%
Answer: B
Question: A number whose fifth part increased by 3 is equal to its fourth part diminished by 3 is ?
Choices:
120
200
220
None
Answer: A
Question: One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 50 of the attendees are neither female nor students, what is the total number of attendees at the convention?
Choices:
300
400
500
700
Answer: A
Question: A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 90 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
Choices:
9%
11%
12.5%
16.7%
Answer: D
Question: Tickets numbered 1 to 20 are mixed up and then a ticked is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
Choices:
3/10
2/5
1/2
1/3
Answer: A
Question: A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 128 runs, thereby increasing his average by 6 runs. His new average is
Choices:
28 runs
48 runs
42 runs
68 runs
Answer: D
Question: Twelve people are planning to share equally the cost of a rental van. If one person withdraws from the arrangement and the others share equally the cost of the rental van, then the share of each of the remaining people will increase by...?
Choices:
1/8
1/11
12/11
10/11
Answer: B
Question: In a trapezium ABCD, AB is parallel to DC, AB = 3*DC, and the diagonals of the trapezium intersect at O. The ratio of the area of ∆OCD to the area of ∆OAB is:
Choices:
1:9
3:1
1:10
Cannot be determined
Answer: A
Question: There are 5 red shoes, 4 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Choices:
2/9
5/9
4/9
2/3
Answer: B
Question: The average (arithmetic mean) monthly income of four workers is $3,000. After one worker’s income increases by 20 percent the new average income is $3,300. What was the original income of the worker whose monthly income increased?
Choices:
$6,400
$6,000
$6,200
$6,600
Answer: B
Question: Find the one which does not belong to that group ?
Choices:
49
64
81
100
Answer: A
Question: A can give B 100 meters start and C 150 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
11.55 meters
33.55 meters
55.55 meters
None of these
Answer: C
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a.for the next five years and 13% p.a.for the period beyond eight years If the total interest paid by him at the end of eleven years is 8160, how much money did he borrow?
Choices:
8000
12,000
Data inadequate
None of these
Answer: A
Question: If w is 40 percent less than t, t is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
Choices:
18%
36%
40%
50%
Answer: D
Question: What percent of 5 letter combinations that can be made from the letters of the word FERMONT and in which each letter can be used only once are the combinations in which the first letter is a vowel and the last letter is a consonant?
Choices:
23.8%
25%
30.2%
35%
Answer: A
Question: A childrens identification code consists of a vowel followed by a 3-digit number greater than 200. Exactly 2 of the 3 digits in the code should be identical. How many different codes is it possible to form?
Choices:
216
1075
1080
2160
Answer: B
Question: The length of the bridge, which a train 150 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
225
237
245
267
Answer: A
Question: If a = 1, what is the value of –(a^2 + a^3 + a^4 + a^5+a^6)?
Choices:
-4
0
4
-5
Answer: D
Question: A town's oldest inhabitant is x years older than the sum of the ages of the Lee triplets. If the oldest inhabitants is now J years old, how old will one of the triplets W be in 20 years?
J-X-40/3 is my answers.
J = X + L + L + L is the initial situation
After 20 years
J + 20 = X + L + L + L + 60 ...20 years for each triplet so 60 years totally.
J - X - 40/ 3 = L is my answer.
What wrong am i doing ? Since the age asked is after 20 years i also consider adding 20 years to J .
Choices:
3(J + 20)/x
(J + x - 50)/3
(J - x + 60)/3
(J + x - 20)/3
Answer: C
Question: If John takes 7 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?
Choices:
7z/x
420z/x
7xz
420x/z
Answer: B
Question: The average of first 25 natural numbers is?
Choices:
13
15
18
12
Answer: A
Question: The distance from Steve's house to work is 30 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?
Choices:
10.
14.
15
20.
Answer: C
Question: Two men, Vikas and Vishal, working separately can mow a field in 8 and 12 hours respectively. If they work in stretches of one hour alternately, Vikas beginning at 8 a.m, when will the mowing be finished?
Choices:
787
2369
277
281
Answer: A
Question: A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
Choices:
224
667
2678
112
Answer: A
Question: The length of a rectangular garden is 2 feet longer than 3 times its width. If the perimeter of the garden is 100 feet, find the width and the length of the garden.
Choices:
90
100
70
110
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
55 km/hr
35 km/hr
50 km/hr
56 km/hr
Answer: C
Question: What is the probability of getting a number less than 4 when a die is rolled?
Choices:
1
3/2
2/3
1/2
Answer: D
Question: A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is
Choices:
1/26
1/23
1/50
1/45
Answer: A
Question: The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 22nd term in the sequence?
Choices:
7
6
8
9
Answer: A
Question: Two trains start from stations A and B spaced 50 kms apart at the same time and speed. As the trains start, a bird flies from one train towards the other and on reaching the second train, it flies back to the first train. This is repeated till the trains collide. If the speed of the trains is 25 km/h and that of the bird is 100 km/h. How much did the bird travel till the collision.
Choices:
100
127
27
2691
Answer: A
Question: S1 = 6 S2 = 9 ... Sn = 3n + 4 For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50?
Choices:
12
13
16
15
Answer: C
Question: The distance between Delhi and Mathura is 215 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
00.20 p.m.
10.30 a.m.
11.40 a.m.
1.40 p.m.
Answer: A
Question: A, B and C can do a work in 9 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choices:
3 3/23
2 2/0
2 2/2
2 2/1
Answer: A
Question: If an integer "k" is divisible by 2,5 and 13.what is the next largest number that is divisible by all the three given numbers?
Choices:
k+130
2k
2k+13
2k+65
Answer: A
Question: If the number of boys in a class are 8 times the number of girls. If the number of people in the class are 45, how many girls are in the class?
Choices:
A - 5
C - 7
D - 8
E - 9
Answer: A
Question: Eric throws 2 dice,and his score is the sum of the values shown.Sandra throws one dice and her score is the square of the value shown. what is the probabilty that Sandras score will be strictly higher than Erics score??
Choices:
127/126
137/126
147/126
157/126
Answer: B
Question: Two spies agreed to meet at a gas station between noon and 1pm, but they have both forgotten
the arranged time. Each arrives at a random time between noon and 1pm and stays for 6
minutes unless the other is there before the 6 minutes are up. Assuming all random times are
equally likely, what is the probability that they will meet within the hour (noon to 1pm)?
Choices:
0.15
0.17
0.19
0.25
Answer: C
Question: Raja's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.
Choices:
7
8
10
12
Answer: C
Question: The sum of the present ages of a father and his son is 50 years. five years ago, father's age was five times the age of the son. After 5 years, son's age will be:
Choices:
16.2
16.1
16.66
17
Answer: C
Question: A committee of two people is to be chosen from 4 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
24
26
30
32
Answer: A
Question: There are 2 sections A and B in a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
Choices:
37.25kg
42.45kg
55.12kg
29.78kg
Answer: A
Question: Of 25 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
Choices:
10
9
7
5
Answer: A
Question: Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 5x boxes?
Choices:
4 minutes
5 minutes
10 minutes
12 minutes
Answer: C
Question: In a business school case competition, the top three teams receive cash prizes of $1000, $ 2000, and $ 3000. while remaining teams are not ranked and do not receive any prizes, there are 6 participating teams, named A, B, C, D, E, F. If team A wins one of the prizes, team B wins also one of the prizes. How many outcomes of the competition are possible ?
Choices:
28
36
84
120
Answer: C
Question: A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%
Choices:
4 kg
8 kg
30 kg
7 kg
Answer: A
Question: In a kickball competition of 9 teams, how many possible matches can each team play with each other?
Choices:
16
24
36
54
Answer: C
Question: Working alone, Mary can pave a driveway in 4 hours and Hillary can pave the same driveway in 3 hours. When they work together, Mary thrives on teamwork so her rate increases by 33.33%, but Hillary becomes distracted and her rate decreases by 50%. If they both work together, how many hours will it take to pave the driveway?
Choices:
2 hours
5 hours
6 hours
7 hours
Answer: A
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
7
5
9
3
Answer: C
Question: The edge of a cube is 9a cm. Find its surface?
Choices:
143a2 cm2
233a2 cm2
243a2 cm2
253a2 cm2
Answer: C
Question: On Thursday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
Choices:
Monday
Thursday
Friday
Saturday
Answer: A
Question: A small company reduced its faculty by approximately 13 percent to 181 employees. What was the original number of employees?
Choices:
B)208
C)220
D)224
E)302
Answer: A
Question: The sale price sarees listed for Rs.500 after successive discount is 10% and 5% is?
Choices:
427.5
342
762
269
Answer: A
Question: John sold 100 shares of stock for $96 per share. For half his shares, this represented a 20% profit; for the other half, this represented a 20% loss. What was the net gain or net loss on this sale of stock?
Choices:
Gain of $400
Loss of $400
Gain of $800
Loss of $800
Answer: B
Question: Suppose son name is 120,his brother name is 150 and his mother name is 180.find out his father's name???
Choices:
210
230
240
250
Answer: B
Question: If A lends Rs.2500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
A. Rs.107.50
Choices:
112.5
132.5
114.5
212.5
Answer: A
Question: Two integers are in the ratio of 1 to 4. If 6 is added to the smaller number, the ratio becomes 1 to 3. Find the larger integer.
Choices:
24
30
72
80
Answer: C
Question: The daily hotel rates for five hotels John was considering were $60, $125, $80, $70 and $x. If the median price was $5 lower than the average (arithmetic mean) price, which of the following could be $x?
Choices:
$85
$90
$95
$100
Answer: B
Question: A 440-liter solution of Kola is made from 88% water, 8% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
Choices:
4.52%.
9.2%.
10.5%.
11%.
Answer: A
Question: For every positive integer n, form the number n / s(n), where s(n) is the sum of the digits of n in base 10. What is the minimum value of n/s(n) for 10 <= n <= 99.
Choices:
3.45
1.9
2
4
Answer: B
Question: In one hour,a boat goes 11 km along the stream and 5 km against the stream.The speed of the boat in still water is :
Choices:
5
8
9
10
Answer: B
Question: The cost price of a radio is Rs.1680 and it was sold for Rs.1450, find the loss %?
Choices:
13
15
18
41
Answer: A
Question: Out of 15 students in a class, 10 are wearing blue shirts, 2 are wearing green shirts, and 3 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
Choices:
10/21
30/41
40/51
50/61
Answer: A
Question: Cole drove from home to work at an average speed of 80 kmh. He then returned home at an average speed of 120 kmh. If the round trip took a total of 3 hours, how many minutes did it take Cole to drive to work?
Choices:
70
72
85
108
Answer: D
Question: On a sum of money, the S.I. for 2 years is $600, while the C.I. is $612, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
4%
5%
6%
7%
Answer: A
Question: The sum of number of boys and girls in a school is 300. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Choices:
40
60
100
75
Answer: D
Question: John and Steve are speed walkers in a race. John is 15 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.8 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
Choices:
17 seconds
26 seconds
34 seconds
42.5 seconds
Answer: D
Question: In a box of 8 pens, a total of 2 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
8/15
9/20
11/25
15/28
Answer: D
Question: âˆš1.5625 = ?
Choices:
1.25
1.45
1.55
1.65
Answer: A
Question: The sum of three consecutive integers is 312. What is the sum of the next three consecutive integers?
Choices:
321
330
415
424
Answer: A
Question: If 20x = 49y, which of the following must be true?
I. x > y
II. x^2 > y^2
III. x/7 is an integer
Choices:
II only
III only
I and III
None
Answer: D
Question: Three hundred gallons of fuel are purchased at $0.90 per gallon. The fuel is consumed at a rate of $0.50 worth of fuel per hour. At this rate, how many hours are required to consume the 300 gallons of fuel?
Choices:
520
530
540
550
Answer: C
Question: The value of ((x – y)³ + (y - z)³ + (z – x)³)/(9 (x – y) (y – z) (z – x))
is equal to :
Choices:
1/12
1
1/4
1/3
Answer: D
Question: The least common multiple of positive integer d and 3-digit integer n is 690. If n is not divisible by 3 and d is not divisible by 2, what is the value of n?
Choices:
230
460
575
690
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m
167 a.m
18 a.m
11 a.m
Answer: A
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.157. Find the unknown rate of two blankets?
Choices:
550
490
450
520
Answer: D
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1 kmph
8 kmph
7 kmph
5 kmph
Answer: A
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:
79.8
76.2
79.2
29.2
Answer: C
Question: Three faces of a fair die are Yellow, two faces red and two blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is
Choices:
1/18
1/32
1/37
None of these
Answer: A
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 81 more than n. What is y in terms of x ?
Choices:
9 - x
x + 9
x - 1
x + 1
Answer: B
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Choices:
5%
8%
10%
none of the above
Answer: A
Question: how many such letters pairs r in word FRONTIER having same no. of letters left between them in the word as they have in the series
Choices:
2
3
4
5
Answer: A
Question: convert 100 miles into inches?
Choices:
6336000
5462300
6213000
6120330
Answer: A
Question: curie bakes 5 cookies for 5 friends. 2 of the friend arrive early and eat 3 cookies each. How many cookies are left over if the other friends all have the same number of cookies?
Choices:
1
3
4
5
Answer: A
Question: A person want to give his money of $12000 to his 5 children A,B,C,D,E in the ratio 2:4:3:1:5. What is the D+E share?
Choices:
$2800
$3800
$5800
$4800
Answer: D
Question: Albert invested amount of 12000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
Choices:
Rs. 8620
Rs. 8730
Rs. 13230
None of these
Answer: C
Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 11 and 12. The larger of the two numbers is:
Choices:
276
322
231
121
Answer: A
Question: The ratio of buses to cars on River Road is 1 to 3. If there are 20 fewer buses than cars on River Road, how many cars are on River Road?
Choices:
120
140
30
150
Answer: C
Question: A man can row downstream at 16 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
3
6
4
9
Answer: A
Question: Agatha has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
Choices:
32
29
28
27
Answer: A
Question: A grocery store bought some mangoes at a rate of 4 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?
Choices:
1:5
2:3
1:2
1:2
Answer: D
Question: The profit obtained by selling an article for Rs. 86 is the same as the loss obtained by selling it for Rs. 42. What is the cost price of the article?
Choices:
Rs. 50
Rs. 49
Rs. 59
Rs.64
Answer: D
Question: 85 80 25 70 55 25 35 ? ?
Choices:
10 25
35 25
85 35
25 75
Answer: A
Question: When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
Choices:
50
60
70
80
Answer: B
Question: x# is defined for every positive even integer x as the product of all even integers from 2 to x. What is the smallest possible prime factor of (x#+7)?
Choices:
3
5
7
11
Answer: A
Question: Rs. 875 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 875 become in 3 years ?
Choices:
Rs. 1025
Rs. 1061
Data inadequate
None of these
Answer: B
Question: 3/4 of 5/7 of a number is greater than 2/3 of 4/7 of the same number by 26. What is half of that number?
Choices:
78
92
84
96
Answer: C
Question: Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
Choices:
15
16
18
19
Answer: B
Question: The Least Common multiple of 2^6−1 and 2^9−1 is
Choices:
2^ 12 +63*2^3-1
2^12+5^29-1
2^12+9*2^8 -1
None of these.
Answer: A
Question: Of the diplomats who attended a summit conference: 20 spoke Japanese, 32 did not speak Russian and 20% of the diplomats spoke neither Japanese nor Russian. If 10% of the diplomats spoke both Japanese and Russian, then how many diplomats attended the conference?
Choices:
96
108
120
150
Answer: C
Question: A fair coin is tossed repeatedly. If head appears on the first four tosses, then the probability of appearance of tail on the fifth toss is.
Choices:
1/2
3/7
2/3
1/3
Answer: A
Question: A train 220 m long passed a pole in 12 sec. How long will it take to pass a platform 600 m long?
Choices:
45
49
50
56
Answer: A
Question: There are 11 baskets numbered from 1 to 11 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
Choices:
220
260
300
340
Answer: D
Question: John want to buy a $100 Trouser at the store, but he think itâ€™s too expensive. Finally, it goes on sale for $80. What is the percent decrease?
Choices:
20%
40%
50%
60%
Answer: A
Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Choices:
9
6
10
12
Answer: B
Question: Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,200 nuts and 1,200 bolts?
Choices:
1,500 seconds
1,800 seconds
2,000 seconds
3,000 seconds
Answer: B
Question: The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Choices:
44
42
40
4
Answer: B
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Choices:
1440 ways
1345 ways
1324 ways
1688 ways
Answer: A
Question: A company has 14 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
Choices:
921
961
1001
1041
Answer: C
Question: A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Choices:
16
36
46
13
Answer: B
Question: Ten people are planning to share equally the cost of a rental van. If one person withdraws from the arrangement and the others share equally the cost of the rental van, then the share of each of the remaining people will increase by...?
Choices:
1/9
1/7
7/8
8/7
Answer: A
Question: 3+3.3+333+33.33=?
Choices:
372.63
702.33
702
None of them
Answer: A
Question: How many ways are there to select a subcommittee of 6 members from among a committee of 17?
Choices:
19448
28791
27711
12376
Answer: D
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
270
792
267
721
Answer: A
Question: Martha has 4 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
Choices:
9
16
18
20
Answer: B
Question: The fourth proportional to 3, 8, 18 is:
Choices:
44
46
48
50
Answer: C
Question: The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
Choices:
110
120
140
150
Answer: B
Question: Simple interest on a certain sum of money for 3 years at 10% per annum is half the compound interest on Rs. 6500 for 2 years at 14% per annum. The sum placed on simple interest is
Choices:
Rs.1947.4
Rs.973.7
Rs.2000
None
Answer: D
Question: two houses of the same type were advertised to be let in a locality. Three men made separate applications for a house. What is the probability that each of them applied for the same house.
Choices:
2/27
3/27
4/27
2/9
Answer: A
Question: R is the set of positive odd integers less than 100, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Choices:
Two
Four
Five
Seven
Answer: C
Question: If XY denotes X is raised to the power Y, Find the last two digits of 19413846+ 19614181
Choices:
74
82
98
34
Answer: B
Question: How many digits are in (8×10^14)(10×10^10)?
Choices:
25
26
27
28
Answer: B
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.89
2.82
2.12
Answer: A
Question: Anthony and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. Anthony eventually performed on all 15 days of the festival, while Cindy performed on 5 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of Y?
Choices:
10Y
8Y
5Y
7Y
Answer: C
Question: Last year Department Store X had a sales total for December that was 2 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?
Choices:
4/15
2/13
4/11
4/5
Answer: B
Question: The area of a rectangular field is equal to 750 square meters. Its perimeter is equal to 110 meters. Find the width of this rectangle.
Choices:
10
15
20
25
Answer: D
Question: A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum M of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?
Choices:
7
9
10
14
Answer: C
Question: The food in a camp lasts for 35 men for 40 days. If ten more men join, how many days will the food last?
Choices:
20 days
31 days
50 days
45 days
Answer: B
Question: If an amount of Rs 42,240 is distributed equally
amongst 22 persons, how much amount would each
person get?
Choices:
Rs 1920
Rs 745
Rs 765
None
Answer: A
Question: A 160 meter long train crosses a man standing on the platform in 18 sec. What is the speed of the train?
Choices:
94 kmph
32 kmph
56 kmph
76 kmph
Answer: B
Question: If negative integers k and p are NOT both even, which of the following must be odd?
Choices:
4(k + p)
k – p
k + 1 – p
2(k + p) – 1
Answer: D
Question: Difference between the length &breadth of a rectangle is 30 m. If its perimeter is 300 m, then its area is?? We have: (l - b) = 30 and 2(l + b) = 300 or (l + b) = 150?
Choices:
5250 m^2
5300 m^2
5200 m^2
5400 m^2
Answer: D
Question: An athlete runs 200 metres race in 24 seconds. What is his speed?
Choices:
30 km/hr
25 km/hr
27.5 km/hr
None of these
Answer: A
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
27
40
28
20
Answer: B
Question: A train crosses a bridge of length 2500 m in 120 seconds and a lamp post on the bridge in 30 seconds. What is the length of the train in metres ?
Choices:
750/3 m
2500/3 m
800 m
300 m
Answer: B
Question: Tough and Tricky questions: Combinations.
Eight students - 4 boys and 4 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Choices:
36
72
240
1152
Answer: D
Question: In what time will a railway train 60 m long moving at the rate of 54 kmph pass a telegraph post on its way?
Choices:
4 sec
2 sec
6 sec
9 sec
Answer: A
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
Choices:
1 hr 15 min
1 hr
2 hr
2 hr 30 min
Answer: A
Question: A train 90 meters long completely crosses a 270-meter long bridge in 36 seconds. What is the speed of the train in km/h?
Choices:
32 km/h
36 km/h
40 km/h
44 km/h
Answer: B
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Choices:
22
12
24
20
Answer: C
Question: In your classes you counted 122 hands. How many students were at the class?
Choices:
61
85
86
88
Answer: A
Question: The distance between West-Town to East-Town is 20 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
Choices:
7.
10.
16.
15.
Answer: C
Question: In how many different number of ways 4 boys and 2 girls can sit on a bench?
Choices:
710
720
730
740
Answer: B
Question: Two sides of a triangle have lengths x and w and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to w ?
Choices:
b) 3 : 4
c) 4 : 3
d) 3 : 2
e) 2 : 1
Answer: A
Question: In how many ways, a committee of 10 members can be selected from 8 men and 6 ladies, consisting of 5men and 5 ladies?
Choices:
336
315
283
159
Answer: A
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 3 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Choices:
45 miles
90 miles
120 miles
400 miles
Answer: A
Question: If m and n are whole numbers such that mn = 121, the value of (m – 1)n + 1 is:
Choices:
10
121
1000
131
Answer: C
Question: What is the remainder when 123456789101112131415161718192021222324252627282930313233343536373839404142434481 is divided by 45?
Choices:
36
16
06
40
Answer: A
Question: Abel can complete a work in 8 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 3 days before the completion of the work. How long did the work last?
Choices:
4
8
9
10
Answer: A
Question: The diameter of a wheel of cycle is 21 cm. It moves slowly along a road. How far will it go in 500 revolutions?
Choices:
290 m
320 m
330 m
380 m
Answer: C
Question: The value of 1 + [1/(8 x 2)] + [1/(8 x 2²)] + [1/(8 x 2³)] is :
Choices:
71/64
1/4
1/3
None of these
Answer: A