antoine-444/aqua_rat_dataset huggingface dataset:
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 4 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
Choices:
cs/2
48cs
(2cs)/12
(24c)/s
Answer: B
Question: Solve the equation: -3(-x + 5) + 20 = -10(x - 3) + 4
x=?
Choices:
12/28
13/29
29/13
10/22
Answer: C
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choices:
15 Kmph
18 Kmph
19 Kmph
20 Kmph
Answer: A
Question: What is the perimeter, in meters, of a rectangular garden 4 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
Choices:
56
60
76
104
Answer: D
Question: if set a ={2,3,5,7} and two numbers are selected at random from A(duplicates allowed), then what is the probability that the sum of the numbers is even?
Choices:
13/16
5/12
5/8
2/3
Answer: C
Question: 3 Years ago, the average age of a family of 5 members was 21 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
Choices:
1.5 Years.
2 Years.
3 Years.
6 Years.
Answer: D
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
1977
2778
2711
Answer: A
Question: C & D started one company. They invest Rs. 100,000/- each. They deposit the money to Bank. Bank give 1% interest per month. After 2 years D left from company and asked C to return the money with interest. C says it will take time to release the FD and he assure D to give the money withinterest @0.5%. D Agreed this. What is the profit of C ?
Choices:
B)12000
C)3600
D)24000
E)30000
Answer: B
Question: Henry answered 4/5 of the questions he was given for homework in the first hour, 5/17 of the remaining questions in the second hour and the remaining x questions in the third hour where x is an integer. How many questions was Henry given for homework?
Choices:
(85/12)*x
(85/24)*x
(85/36)*x
(85/48)*x
Answer: A
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choices:
1180 liters
1984 liters
1184 liters
1194 liters
Answer: C
Question: Students of three different classes appeared in common examination. Pass average of 10 students of first class was 70%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
Choices:
75%
69%
72%
None
Answer: C
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 10 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choices:
45
62
90
120
Answer: B
Question: In Set T, the average (arithmetic mean) equals the median Q. Which of the following must be true?
I. Set T consists of evenly spaced numbers.
II. Set T consists of an odd number of terms.
III. Set T has no mode.
IV. None of the above.
Choices:
I and II
II and III
I, II, and III
IV only
Answer: D
Question: The average age of four children in a family is 12 years. If the spacing between their ages is 4 years, the age of the youngest child is ?
Choices:
6 years
8 years
9 years
None
Answer: A
Question: Sum of the squares of three numbers is 267 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
25
26
23
29
Answer: C
Question: A man can row his boat with the stream at 16 km/h and against the stream in 6 km/h. The man's rate is?
Choices:
5 kmph
7 kmph
4 kmph
9 kmph
Answer: A
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 70 as quotient. What is the correct quotient ?
Choices:
12
13
40
25
Answer: C
Question: The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 9 consecutive integers that start with (m + 2)?
Choices:
n + 6
n + 3
m + 5
n + 4
Answer: D
Question: Two buses each 3125 m long are running in opposite directions on parallel roads. Their speeds are 40 km/hr and 35 km/hr respectively. Find the time taken by the slower bus to pass the driver of the faster one?
Choices:
50 sec
48 sec
55 sec
45 sec
Answer: A
Question: From the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n is even
n*n is even
n*n odd
Answer: A
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Choices:
5/12
5/19
5/17
5/15
Answer: A
Question: Find the HCF of 2.1, 1.05 and 0.63
Choices:
0.64
0.21
0.24
None of above
Answer: B
Question: There are 4 red shoes & 6 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Choices:
1/14
1/2
2/15
2/16
Answer: C
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 41 kg, then the weight of B is:
Choices:
27 kg
26 kg
31 kg
35 kg
Answer: A
Question: In the junior basketball league there are 18 teams, 2/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad
Choices:
6.
7.
10.
8.
Answer: C
Question: In a public show 75 % of the seats were filled. If there were 700 seats in the hall, how many seats were vacant?
Choices:
110
120
175
150
Answer: C
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
9
13
15
16
Answer: A
Question: Replace the ? by the correct Mathematics symbol to make the expression true
16 ? 10 ? 4 ? 5 = 45
Choices:
16 + 10 ÷ 4 - 5 = 45
16 x 10 + 4 - 5 = 45
16 x 10 ÷ 4 + 5 = 45
16 x 10 ÷ 4 - 5 = 45
Answer: C
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
268
279
270
Answer: A
Question: There are 5 identical pens and 8 identical books. In how many different ways can a person select at least one object from this set?
Choices:
35
41
47
53
Answer: D
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
99
26
17
12
Answer: A
Question: A 11 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Choices:
1/5
6/11
3/11
2/5
Answer: B
Question: If (x + 2)^2 = 144, which of the following could be the value of 2x?
Choices:
–22
–11
12
14
Answer: D
Question: The size of the obtuse angle of a rhombus is twice the size of its acute angle. The side length of the rhombus is equal to 10 feet. Find its area.
Choices:
87.5 ft.sq
86.6 ft.sq
75.85 ft.sq
92.52 ft.sq
Answer: B
Question: Anand starts from a point P towards point Q, where PQ = 100 km. After 1 hour, Ram starts from P and catches up with Anand after 2 more hours. After meeting they continue to travel towards Q. On reaching Q, Ram reverses his direction and meets Anand 6 hours after the first meeting. Find Anand's speed.
Choices:
(60/7) kmph
(40/7) kmph
(30/7) kmph
(200/21) kmph
Answer: D
Question: Of the b students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
Choices:
b + w- x- y
b- w - x + y
w + x + y- z
w - x - y - z
Answer: A
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Choices:
27
15
19
12
Answer: B
Question: If (55^55+55) is divided by 56, then the remainder is:?
Choices:
54
53
56
57
Answer: A
Question: If 3^z is a factor of 30!, which of the following could be the value of z?
Choices:
12
13
14
16
Answer: C
Question: 161?85?65?89=100
then use + or - in place of ? and take + as m,- as n then find value of m-n
Choices:
-1
1
-3
2
Answer: A
Question: A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
Choices:
77
54
33
99
Answer: B
Question: The speed of a car is 20 km in the first hour and 30 km in the second hour. What is the average speed of the car?
Choices:
25 kmph
34 kmph
23 kmph
45 kmph
Answer: A
Question: What will be the LCM of 8, 24, 36 and 54
Choices:
108
216
432
476
Answer: B
Question: The ratio between the number of sheep and the number of horses at the Stewart farm is 5 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
Choices:
28
40
56
60
Answer: B
Question: In a Question paper there are 3 multiple choice questions. Each question has 4 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the 3 answers correct?
Choices:
85
63
54
64
Answer: B
Question: An inspector rejects 0.08% of the meters as defective, How many meters he examine to reject 2 meteres
Choices:
2400
1400
2500
None of these
Answer: C
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
Choices:
127
134
145
154
Answer: A
Question: Henry professes to sell his goods at the cost price but he made use of 750 grams instead of a kg, what is the gain percent?
Choices:
13 1/3%
14 1/3%
15 1/3%
16 1/3%
Answer: A
Question: After doing 3/5 of the Biology homework on Monday night, Sanjay did 1/3 of the remaining homework on Tuesday night. What fraction of the original homework would Sanjay have to do on Wednesday night to complete the Biology assignment ?
Choices:
2/15
4/15
2/5
None of these
Answer: B
Question: In one hour,a boat goes 16 km along the stream and 6 km against the stream.The speed of the boat in still water (in km/hr) is :
Choices:
11
8
9
10
Answer: A
Question: The average score in an examination of 10 students of a class is 55. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is
Choices:
99
98
96
94
Answer: D
Question: A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time C it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?
Choices:
0.8 + 0.0025y
80/y – 1.25
80/1.25y
80 – 0.25y
Answer: A
Question: X can finish a work in 21 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
5
7
8
9
Answer: B
Question: There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold. If a total of 436,000 copies of the novel were sold in all, how many paperback copies were sold?
Choices:
360,000
364,500
392,000
396,900
Answer: A
Question: If Rs. 561 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively?
Choices:
s.360
s.396
s.368
s.323
Answer: B
Question: What is the value of n if the sum of the consecutive odd intergers Y from 1 to n equals 169?
Choices:
25
37
33
29
Answer: A
Question: Find the largest 2 digit number which is exactly divisible by 88?
Choices:
88
99
54
90
Answer: A
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.56, find the sum of money?
Choices:
287
72
205
267
Answer: A
Question: Three partners started a business with Rs. 80000. At the end of the year they receive Rs. 1800. Rs. 3000 and Rs. 4800 as profit. Find the investment of the second person.
Choices:
Rs. 40000
Rs. 25000
Rs. 32000
None of these
Answer: B
Question: There are 35 students in a hostel. If the no. of students increases by 6, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
s. 39.83
s. 42.83
s. 48.83
s. 54.83
Answer: D
Question: if Juan takes 13 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
11y/x
x/11y
11/xy
13x/y
Answer: D
Question: In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what Z percentage of those asked favoured more than one of the 3 proposals.
Choices:
12
17
22
30
Answer: B
Question: If taxi fares were $8.00 for the first 1/5 mile and $0.8 for each 1/5 mile there after, then the taxi fare for a 8-mile ride was
Choices:
$39.10
$39.25
$39.30
$39.20
Answer: D
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?
Choices:
480
980
280
380
Answer: A
Question: A train is moving at 6/7 of its usual speed. The train is 15 minutes too late. What is the usual time (in hours) for the train to complete the journey?
Choices:
1.5
2
2.5
3
Answer: A
Question: In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 7,000 have been vaccinated against both, how many have been vaccinated only against rubella?
Choices:
7,500
10,000
14,000
17,500
Answer: C
Question: A sum of Rs. 2717 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1672
1677
1698
1679
Answer: A
Question: An art gallery owner is hanging paintings for a new show. Of the six paintings she has to choose from, she can only hang two on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choices:
30
64
120
216
Answer: A
Question: If the average of 8x and 8y is greater than 120, and x is twice y, what is the least integer value of x ?
Choices:
20
30
32
42
Answer: A
Question: Sum of the squares of 3 no.'s is 267 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
24
26
23
30
Answer: C
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3 mins
8 mins
9 mins
6 mins
Answer: A
Question: It was Sunday on Jan. 1,2006.What was the day of the week on Jan 1,2010 ?
Choices:
Saturday
Friday
Wednesday
None of these
Answer: B
Question: A 300 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
Choices:
220m
230m
240m
200m
Answer: D
Question: Pipe A that can fill a tank in an hour and pipe B that can fill the tank in half an hour are opened simultaneously when the tank is empty. Pipe B is shut 10 minutes before the tank overflows. When will the tank overflow?
Choices:
37 mins
40 mins
32 mins
36 mins
Answer: A
Question: If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 60 kmh, what was the average speed of the car for the entire trip?
Choices:
40 kmh
42 kmh
42 kmh
50 kmh
Answer: C
Question: 16 people can write 52 book in 12 days working 8 hour a day.then in how many day 206 can be written by 64 people?
Choices:
309/26
309/22
319/26
339/26
Answer: A
Question: The average age of 18 students of a class is 18 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 18th student is
Choices:
66
110
160
12
Answer: B
Question: A container contains 1000 liters of milk, From this container 10 liters of milk was taken out and replaced by water. This process was repeated further 2 times. How much milk is now contained by the container?
Choices:
970.3liters
879.65liters
1020.56liters
910.95liters
Answer: A
Question: What is the two-digit number?
I. Sum of the digits is 7.
II. Difference between the number and the number obtained by interchanging the digits is 9.
III. Digit in the ten's place is bigger than the digit in the unit's place by 1.
Choices:
II and III only
I and III only
All I, II and III
I and II as well as I and III
Answer: D
Question: If x is an integer, then x(x – 1)(x – k) must be evenly divisible by two when k is any of the following values EXCEPT
Choices:
-1
-1
2
5
Answer: A
Question: How many three digits number can be formed by using the digits 4,5,6,7,8,9 if the repetition of digits not allowed?
Choices:
70
60
40
30
Answer: B
Question: Grace has 20 jellybeans in her pocket. She has 12 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Choices:
8
12
13
17
Answer: D
Question: What will come in place of the x in the following Number series? 46080, ?, 384, 48, 8, 2, 1
Choices:
3840
5
7
9
Answer: A
Question: A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work?
Choices:
230 days
50 days
40 days
20 days
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Choices:
15001
15000
15007
15009
Answer: B
Question: An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many T ways can the assembly line be arranged?
Choices:
240
360
480
720
Answer: B
Question: 6x − 12 = 6y
5y + 5x = 5
Which of the following is the number of solutions to the system of equations shown above?
Choices:
Exactly three
Exactly two
Exactly one
None
Answer: C
Question: A train starts full of passengers. At the first station, it drops one-third of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning.
Choices:
248
280
288
290
Answer: C
Question: A and B’s salaries together amount to Rs. 3,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Choices:
2250
2789
2776
2881
Answer: A
Question: A Man travelled a distance of 60 km in 8 hours. He travelled partly on foot at 4 km/hr and partly on
bicycle at 9 km/hr. What is the distance travelled on foot?
Choices:
14 km
12 km
10 km
None of these
Answer: B
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
200
210
230
240
Answer: B
Question: Worker A takes 6 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
15/4 days
39/9 days
30/9 days
60/9 days
Answer: A
Question: Today is Monday. After 50 days, it will be :
Choices:
Saturday
Tuesday
Sunday
Wednesday
Answer: B
Question: 12 is 4% of a, and 4 is 12% of b. c equals b/a. What is the value of c?
Choices:
1/3
1/6
1/9
1/12
Answer: C
Question: By selling a bat for Rs.540/- a man loses 10% what is that bat cost price
Choices:
s.600/-
s.700/-
s.780/-
s.800/-
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 7, the how old is B?
A.	7
B.	8
C.	9
D.	10
Explanation:
Choices:
7
9
1
11
Answer: C
Question: What is the average (arithmetic mean) of 10,20,30,40,50,60,70,80,90 ?
Choices:
95
70
85
50
Answer: D
Question: Find the probability that the number drawn is a factor of 50.
Choices:
1/50
3/25
3/50
7/50
Answer: C
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Choices:
600
256
654
712
Answer: A
Question: A circular road runs around a circular garden. If the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one-third of the outer circle, then the width of the road is :
Choices:
5 metres
7 metres
6 metres
8 metres
Answer: B
Question: The cost per pound of milk powder and coffee were the same in June. In July, the price of coffee shot up by 300% and that of milk powder dropped by 80%. If in July, a mixture containing equal quantities of milk powder and coffee costs $6.30 for 3lbs, how much did a pound of milk powder cost in July?
Choices:
$0.2
$1
$3
$1.65
Answer: A
Question: If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?
Choices:
17.3
17.5
17.7
17.2
Answer: D
Question: Two cars were driven by D and B. They were 580 miles apart when they started driving towards each other.D's car had traveled at a speed of 20 miles per hour, 4 hours per day for 5 days when it had met B's car. If B had driven 3 hours per day for 5 days, what was B's speed in miles per hour?
Choices:
9
10
11
12
Answer: D
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 54 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
15.7
19.9
21.7
22.8
Answer: A
Question: James celebrated his 23rd Birthday on 2016 but he was strangely born in 1950. How can this be possible?
Choices:
1850
1980
1950
1750
Answer: C
Question: The average expenditure of a man for the first five months is Rs.240 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
Choices:
Rs.150
Rs.160
Rs.200
none
Answer: C
Question: In the board game Yahtzee one way to get a lot of points is to roll a "Yahtzee", which is rolling the same number for all five six-sided dice. What is the probability that you will roll a Yahtzee on your first roll?
Choices:
Less than 0.1%
Between 0.5% and 1%
Between 1% and 2%
Greater than 2%
Answer: A
Question: A sum of Rs.4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. In the annual interest is Rs.352, the sum lent at 8% is
Choices:
3678
3657
2400
2661
Answer: C
Question: The length of a rectangular garden is three times its width. If the area of the rectangular garden is 588 square meters, then what is the width of the rectangular garden?
Choices:
13
14
15
16
Answer: B
Question: A class consists of 4 boys and 5 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
Choices:
32
36
60
240
Answer: A
Question: a number divided by 44 leaves remainder 12 what is the remainder when same number divided by 12
Choices:
8
9
10
11
Answer: A
Question: A,B and C started a business by investing Rs.2000/- , Rs.3000/- and Rs.4000/- respectively. Total profit is Rs.4500/-. Find the A’s share?
Choices:
Rs.1000/-
Rs.2000/-
Rs.3000/-
Rs.3400/-
Answer: A
Question: If x and y are positive integers, and x^3*y^4 = 3456, which of the following is the value of xy?
Choices:
10
12
14
16
Answer: B
Question: Suppose that the angle between the minute hand and hour hand of a
clock is 60o. If the minute hand is 16 inches long and the hour hand is
10 inches long, then what is the distance between the tip ends of the
hands in inches?
Choices:
11
12
13
14
Answer: D
Question: If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
Choices:
72
144
216
400
Answer: C
Question: The ratio of number of boys and girls in a school is 3:5. If there are 320 students in the school, find the number of girls in the school?
Choices:
250
300
200
280
Answer: C
Question: If 1.5 a = 0.03 b, then the value of (b – a)/ (b + a) is
Choices:
49/51
4.9/51
4.99/51
None of these
Answer: A
Question: There is enough provisions for 600 men in an army camp for 25 days. If there were 250 men less, how long will the provision last?
Choices:
40days
50days
60days
80days
Answer: C
Question: The sale price sarees listed for Rs.495 after successive discount is 15% and 10% is?
Choices:
378
342
662
262
Answer: A
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 28 revolutions, what will be the number of revolutions made by the larger wheel?
Choices:
12
21
9
22
Answer: A
Question: (1.00001)(0.99999) - (1.00005)(0.99995) =
Choices:
10^-10
3(10^-10)
10^-5
24(10^-10)
Answer: D
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 1.4, 2.4, 3.4, 4.4, ... What number should come next?
Choices:
5.4
4.9
5.0
4.4
Answer: A
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face?
Choices:
2/227
1/216
1/219
1/213
Answer: B
Question: Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/2, 1/4, and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
Choices:
(n-1)/8n
1/2n
(n+2)/2n
(3n-2)/2n
Answer: A
Question: If 5 men can paint a wall 100 metres long in 10 days of a 8 hours each. In how many days of 6 hours each will 8 men paint a wall 30 metres long?
Choices:
2 days
2.5 days
3 days
3.5 days
Answer: B
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
452
145
132
209
Answer: D
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 144km/h, what is the circumference of the tire?
Choices:
6 meters
5 meters
3 meters
7 meters
Answer: A
Question: What is the area of a square field whose diagonal of length 20 m?
Choices:
269
270
200
230
Answer: C
Question: Can you please walk me through how to best approach this problem? Thanks
If #p# = ap^3+ bp – 1 where a and b are constants, and #-2# = 2, what is the value of #2#?
Choices:
0
-4
-3
-5
Answer: B
Question: Given a spinner with four sections of equal size labeled E, B, C, and D, what is the probability of NOT getting an E after spinning the spinner two times?
Choices:
9/16
1/2
1/4
1/8
Answer: A
Question: A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is
Choices:
450 m
560 m
600 m
680 m
Answer: C
Question: On Sunday Mario handled 75 sales. Deshawn handled 20% more sales than Mario, Callie handled 1/5 of the sales that Deshawn handled, and Jane handled 5 less sales than Callie. How much transactions did Jane handle?
Choices:
13
65
70
42
Answer: A
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the number is 77, find the other?
Choices:
99
76
55
66
Answer: A
Question: A clock loses a minute every three hours for 4 days and gains 2% in the subsequent 6 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
Choices:
01:20:13 PM
12:16:40 PM
11:54:24 AM
12:06:36 PM
Answer: A
Question: John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 190% of John's weight. Which of these 5 people weighs the least?
Choices:
Susan
Sam
Mark
Lynn
Answer: A
Question: If n is an odd integer less than 10, which of the following must also be an odd integer?
Choices:
n^3 + 2n
3n + 2^n
n^3 + 1
3n
Answer: C
Question: P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
Choices:
8
12
4
15
Answer: A
Question: A Student got 78 marks in avg of 4 subjects.the avg odf 5 subjects is 80.what is the amrk he got in 5th subject.
Choices:
88
89
90
91
Answer: A
Question: In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent F of her bushes have only yellow roses?
Choices:
30
50
70
80
Answer: A
Question: A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 40%, what is the total capacity of the pool in gallons?
Choices:
1312.5
1400
1600
1625
Answer: A
Question: A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/3 of th area of the garden. What is the radius of the circular garden?
Choices:
6
4
8
16
Answer: A
Question: If 60! is written out as an integer, with how many consecutive 0’s will that integer end?
Choices:
12
14
42
56
Answer: B
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
175
180
195
200
Answer: A
Question: In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 31st in an arithmetic progression if the sum of the 14th and 18th terms of the sequence is 122?
Choices:
51
56
61
66
Answer: C
Question: Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
Choices:
Rs 6000
Rs 5000
Rs 4000
None of these
Answer: C
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Choices:
105%
120%
124.2%
138%
Answer: B
Question: If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 25 men in 3 days?
Choices:
52mtr
70mtr.
78mtr.
17mtr.
Answer: B
Question: A cyclist rides a bicycle 9 km at an average speed of 11 km/hr and again travels 11 km at an average speed of 9 km/hr. What is the average speed for the entire trip?
Choices:
9.6
9.8
10.1
10.3
Answer: B
Question: If M and N are positive integers that have remainders of 2 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M+N?
Choices:
53
34
29
11
Answer: B
Question: If the sum of two positive integers is 18 and the difference of their squares is 36, what is the product of the two integers?
Choices:
80
128
135
143
Answer: A
Question: A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be C's share of the earnings?
Choices:
$520
$1080
$1170
$630
Answer: A
Question: A man can row three-quarters of a kilometre against the stream in 11 1/4 minutes. The speed (in km/hr) of the man in still water is:
Choices:
5 km/hr
6 km/hr
7 km/hr
None
Answer: A
Question: we have 6 weights one of 2 kg one of 3 kg one of 5 kg one of 1 kg one of 0.5 kg one of 0.25 kg by using only two weight how many wight u can weight
Choices:
12
13
14
15
Answer: D
Question: Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 14 such machines produce in 4 minutes ?
Choices:
2520
2700
10800
None of these
Answer: A
Question: If a 2-digit integer is selected at random from the integers 60 through 99, inclusive, what is the probability that the first digit is equal to two less than the second digit?
Choices:
4/40
60/100
1/99
4/60
Answer: A
Question: In an examination, a student scores 6 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 280 marks, the no of questions he attempts correctly is :
Choices:
A)20
C)90
D)88
E)37
Answer: A
Question: If 11 ml of water is mixed with 1 ml of a chemical, a magical perfume is manufactured. The manufacturer initially wanted to have 500 ml of one box of the magical perfume. How much extra ml is to be added with the proposed box size to comply with the formula?
Choices:
4
5
7
8
Answer: A
Question: A book seller marks his books 50% more than the real price and allows 30% discount. His profit is:
Choices:
4%
5%
6%
None of these
Answer: B
Question: There are 20 balls of green color,20 balls of red color,20 balls of blue color,20 of balck,20 of yellow. how many u have to pick to guarantee 2pairs of same color?
Choices:
3
4
5
6
Answer: D
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Choices:
7500
7000
8000
None of these
Answer: C
Question: John distributes his pencil among his 4friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 : 1/4 : 1/5 . What is the minimum no. of pencils that the person should have?
Choices:
68
70
77
80
Answer: C
Question: Jim’s only source of income comes from his job as a question writer. In this capacity, Jim earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Jim takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Jim wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Jim’s median annual income over the past 5 years?
Choices:
$25,673
$27,318
$28,441
$31,227
Answer: C
Question: 270 Ã· ? Ã— 15 + 270 = 405
Choices:
25
30
39
43
Answer: B
Question: Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. one years from today, the difference between the age of the boy and the combined ages of the girls will be
Choices:
0
3
–2
–1
Answer: A
Question: Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/7 of an ounce and one to measure exactly 1/8 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12
Choices:
III only
I and III only
II and III only
1/56 and 1556
Answer: D
Question: A van takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
50 Kmph
60 Kmph
75 Kmph
860 Kmph
Answer: B
Question: Find the value of 3 + 3 â€¢ (8 â€“ 3)
Choices:
18
17
24
15
Answer: A
Question: Find the smallest no divisible by 5 ,3,7 and leave a remainder of 2 in each case and is divisible by 11 ?
Choices:
735
105
107
108
Answer: A
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Choices:
50 kmph
57 kmph
54 kmph
70 kmph
Answer: A
Question: Question: What is the remainder when W=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144?
Choices:
25
49
81
100
Answer: C
Question: Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many E women are currently in the room?
Choices:
14
15
24
36
Answer: C
Question: Find the odd man out
2880, 480, 92, 24, 8, 4, 4
Choices:
92
24
8
4
Answer: A
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
9
7
6
5
Answer: A
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 120 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
320
960
192
640
Answer: C
Question: A train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
Choices:
6 hrs 21 min
7 hrs 14 min
6 hrs
None of these
Answer: A
Question: One hundred gallons of fuel are purchased at $0.80 per gallon. The fuel is consumed at a rate of $0.20 worth of fuel per hour. At this rate, how many hours are required to consume the 100 gallons of fuel?
Choices:
400
500
550
600
Answer: A
Question: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Choices:
Rs. 1650
Rs. 1750
Rs. 2000
Rs. 2500
Answer: B
Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Choices:
7!*2!
6!*2!
8!*2!
6!*2!
Answer: A
Question: Charlene's annual bonus is calculated in the following manner: Charlene receives 40 percent of her first $11,000 in sales and 30 percent of her sales in excess of $11,000. If Charlene received a bonus of $7,300, what were her annual sales?
Choices:
$ 20,666
$ 24,000
$ 26,000
$ 28,000
Answer: A
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $210, what were her original savings?
Choices:
$840
$1000
$700
$1500
Answer: A
Question: How much more would Rs.30000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
725
992
837
723
Answer: D
Question: It was 7:00 when Bill looked at the clock, he looks at the clock again 30 minutes later. What time is it now?
Choices:
7:30
8:00
1:28
2:40
Answer: A
Question: A man whose speed is 4.5 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:
4 kmph
2 kmph
10 kmph
12 kmph
Answer: A
Question: A statue is being carved by a sculptor. The original piece of marble weighed 250 kg. In the first week 30 per cent is cut away. In the second week 20 per cent of the remainder is cut away. In the third week the statue is completed when 25 percent of the remainder is cut away. What is the weight of the final statue?
Choices:
105 kg
165 kg
115 kg
100 kg
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
22
21.4
21.5
Answer: A
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
9
10
13
14
Answer: C
Question: The ratio of 2 seconds to 4 hours
Choices:
1:6000
1:7200
1:400
1:500
Answer: B
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 40%, then the cost price of the article is:
Choices:
277
222
297
400
Answer: D
Question: For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2.
What is the sum of all the even integers between 99 and 171?
Choices:
4860
5250
5780
6340
Answer: A
Question: A dealer buys dry fruits at Rs. 100, Rs. 80, and Rs. 60 per kilogram. He mixes them in the ratio 3:4:5 by weight and sells at a profit of 50%. At what price per kilogram does he sell the dry fruits?
Choices:
Rs. 100
Rs. 95
None of these
Cannot be determined
Answer: C
Question: Evaluate permutation
6P6
Choices:
720
730
740
None of these
Answer: A
Question: The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 37 what is the value of a1 ?
Choices:
6
17
16
21
Answer: B
Question: A certain list consists of 21 different numbers. If n is in the list and n is 4 times the average(arithmetic mean) of the other 20 numbers in the list, then n is what fraction U of the sum of the 21 numbers in the list?
Choices:
1/6
1/5
4/21
5/21
Answer: A
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
Choices:
3:1
3:4
3:9
3:2
Answer: B
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 625 meters in length?
Choices:
72
55
82
52.7
Answer: D
Question: The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
Choices:
w=15/L=20
w=35/L=27
w=14/L=35
w=19/L=39
Answer: A
Question: Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 459?
Choices:
21%
20%
26.1%
None of these
Answer: C
Question: A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $2,000 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week?
Choices:
30%
35%
40%
45%
Answer: A
Question: Two Trains A and B start simultaneously from stations 500 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 50 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
Choices:
133
150
250
288
Answer: C
Question: A driver goes on a trip of 60 kilometers, the first 30 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
Choices:
36
40
42
45
Answer: B
Question: If s and t are both odd prime numbers ands < t, then how many different positive integer factors does2sthave?
Choices:
4
6
8
12
Answer: C
Question: 2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in
Choices:
21
17
28
10
Answer: A
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:2
9:9
9:1
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
72
36
88
21
Answer: A
Question: A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 4.2 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:
7.7%.
9.2%.
10.5%.
11%.
Answer: A
Question: Calculate the share of Z , if Rs. 3720 is divided among X, Y and Z in the ratio 7 : 8 : 11?
Choices:
1214.1
1574.1
1271.1
1044.1
Answer: B
Question: A cistern is filled by pipe A in 10 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full?
Choices:
60hrs
70hrs
80hrs
90hrs
Answer: A
Question: A can do a piece of work in 20 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choices:
77
66
55
10
Answer: D
Question: Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?
Choices:
10 am
6 am
8 am
7 am
Answer: A
Question: What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x
Choices:
165
36
178
215
Answer: B
Question: In how many Y ways can 5 people from a group of 6 people be seated around a circular table
Choices:
80
100
120
144
Answer: D
Question: An athlete starts from point A and complete one circular round exactly in 33 minutes. How much time is required, if an athlete wants to complete half of the circle and reach to point A ?
Choices:
27.0042 minutes
28.0042 minutes
29.0042 minutes
25.0042 minutes
Answer: A
Question: A, B and C rents a pasture for Rs.1130. 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:
199
351
156
122
Answer: B
Question: Ms. Rani purchased three bags @ Rs. 600/- from shop and give Rs.2000/- and also she returned the damaged chappel @ Rs. 250/-to the shop keeper to replace or cash back. Shop keeper told you can buy another chappel and cannot give cash back. Rani took another chappel @ 450/- How much amount to be given to shop keeper?
Choices:
150
0
25
100
Answer: B
Question: Find the largest number of four digit exactly divisible by 12,15,18 and 27?
Choices:
2579
9720
3697
4589
Answer: B
Question: What is the value of x^2yz − xyz^2, if x =1, y = 1, and z = 3?
Choices:
-6
30
32
48
Answer: A
Question: Positive integer y is 50 percent of 50 percent of positive integer x, and 2y percent of x equals 100. What is the value of x?
Choices:
100
140
1,000
2,000
Answer: B