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big_math_dataset

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Miguel is 46 years old. He is 6 years older than thrice his son’s age. Find the age of his son.
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter
If each edge of cube increased by 50%, the percentage increase in
What is the simplified result of following the steps below in order? (1) add 5y to 2z (2) multiply the sum by 3 (3) subtract z + y from the product
In paper A, one student got 18 out of 70 and in paper B he got 14 out of 30. In which paper he did fare well?
A parallelogram has a base that is four time the size of it's height. The total area of this parallelogram is 2,304 Sq ft. What is the height of the parallelogram?
A certain number X when divided by 233 leaves a remainder of 87. Which of the following can be subtracted from X to make X divisible by 91?
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?
S is a set containing 7 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 108 kmph and 72 kmph. In how much time will the trains cross each other?
What is the probability of getting a number less than 4 when a die is rolled?
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Which of the following correctly lists the data sets in order of least to greatest standard deviation? I. 56, 56, 56, 56, 56, 56 II. 5, 7, 16, 18, 25, 32 III. 6,7,8,9,10,11,12
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.24, find the sum of money?
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 10 hrs and a machine of type S does the same job in 5 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
What is the units digit of 18! + 2 ?
A and B can finish a work in 14 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 12 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
Subtracting 10% from X is the same as multiplying X by what number?
A bag contains 6 red, 5 blue and 2 green balls. If 2 balls are picked at random, what is the probability that both are red?
How many words, with or without meaning, can be formed using all letters of the word SHARP using each letter exactly once?
In a college the ratio of the numbers of boys to the girls is 8:5. If there are 210 girls, the total number of students in the college is?
Which one of the following is a composite number?
Akash leaves Chennai at 6am & reaches Bangalore at 10am. Prakash leaves Hyderabad at 8 am and reaches Chennai at 11:30 am. At what time do they cross each other?
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
if the average of 6 consecutive number is 27, then the largest of the number is?
Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?
For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 5| + |-b| + |b – a| + |ab| =
In a can, there is a mixture of milk and water in the ratio 1 : 5. If it is filled with an additional 2 litres of milk the can would be full and ratio of milk and water would become 2 : 5. Find the capacity of the can?
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which these two metals be mixed so that the mixture is 15 times as heavy as water is:
A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
The length of the bridge, which a train 160 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
In 1950, John was 4 times as old as Tom. In 1955, Richard was 3 times as old as Tom. In which year was John twice as old as Tom?
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of thesportformulation contains 5 ounces of corn syrup, how many ounces of water does it contain?
Alice has 3 times the number of stamps that Doris does and Jane has 7 stamps more than Doris does. If Alice, Doris, and Jane each increase their number of stamps by 4, which of the following must be true after each person increases her number of stamps? Alice has more stamps than Jane. Jane has 3 more stamps than Doris. The sum of the numbers of stamps that Alice and Doris have is a multiple of 4.
What is the thousandths digit in the decimal equivalent of 43/5000?
Eesha bought two varities of rice costing 50Rs per kg and 60 Rs per kg and mixed them in some ratio.Then she sold that mixture at 70 Rs per kg making a profit of 20 % What was the ratio of the micxture?
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
A certain experimental mathematics program was tried out in 2 classes in each of 34 elementary schools and involved 40 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
In a pair of fractions, fractions A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
The product X of two prime numbers is between 17 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
In how many different ways can the letter of the word 'BOTTLE ' be arranged in such a way that the vowels occupy the odd positions?
Evaluate (51 + 52 + 53 + ... + 100)
The sum of two consecutive integers is 31. Find the numbers.
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
A number lock on a suitcase has 3 wheels each labelled with 10 digits from 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 8 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
In a barrel of juice there is 30 liters; in a barrel of beer there are 50 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
If four coins are tossed, the probability of getting two heads and two tails is?
Barbara has 8 shirts and 10 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
A tour group of 25 people paid a total of $630 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax? Choices
After getting 2 successive discounts, a shirt with a list price of Rs 150 is available at Rs 105. If the second discount is 12.55,find the first discount
A father can do a certain job in x hours. His son takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the father take to do the job?
A 2-year certificate of deposit is purchased for Q dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
Walking 6/5 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
12 persons can complete the work in 18 days. after working for 6 days, 4 more persons added to complete the work fast. in how many more days they will complete the work?
An investor invests in a new fund. The fund averages 20% growth annually for the first three years, but it loses 25% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
If 0 < a < b and k = (2a + 6b)/b , which of the following must be true?
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.78 less, he could have gained 25%. What is the cost price?
If 25% of a number exceeds 8% of it by 11.9, then find the number?
A CAR MOVES AT THE SPEED OF 80KM/HR. WHAT IS THE SPEED OF THE CAR IN METRES PER SECOND?
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?
6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = ?
Parameshwaran invested an amount of 12,000 at the simple interest rate of 10 pcpa and another amount at the simple interest rate of 20 pcpa. The total interest earned at the end of one year on the total amount invested became 14 pcpa. Find the total amount invested
P can do a work in 60 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
If the price of 25 toys is 500, then what will the price of 10toys ?
There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible?
The average of five integers is 71, and none of these integers is greater than 100. If the average of three of the integers is 76, what is the least possible value of one of the other two integers?
There are 8 books on a shelf that consist of 3 paperback books and 5 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 40 per cent. The two reductions together are equal to a single reduction of
One pump drains one-half of a pond in 8 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
At what rate of compound interest per annum will a sum of $1200 becomes 1348.32 in 2 years?
The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $72.0 billion, a year ago. By what percent did the revenue fall?
If two numbers are in the ratio 5:2. If 20 is subtracted from both of the numbers then the ratio becomes 4:2 then find the smallest number?
A train 150 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
In his pocket, a boy has 3 red marbles, 5 blue marbles, and 5 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
Of 800 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?
What is the ratio W of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
A fruit seller had some apples. He sells 40% apples and still he has 420. Originally he had how many apples?
If two girls starting from same point, walking in the opposite directions with 5km/hr and 10km/hr as average speeds respectively. Then the distance between them after 5 hours is?
Exactly 10% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Mary sold boxes of butter cookies. Ann sold 5 times as much as she did. 18 boxes of cookies were sold that day, how many boxes did Mary sell?
The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 2 and 4 slices per customer. How many slices cannot be bought?
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, ?, 2, 1
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 3 boys when a boy gets any no. of prizes?
In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 150 m long?
If x + y = 3 and x – y = 3, then x^2 - y^2 =
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
A certain country had a total annual expenditure of $2.4 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
A, B, C together started a business. A invested Rs.5000 for 5 months B invested Rs.3000 for 6 months and C Rs.7000 for 3 months. If they get a total profit of Rs.7600. Find the share of A?
A cycle is bought for Rs.900 and sold for Rs.1260, find the gain percent?
The sum of two numbers is 45. Sum of their quotient and reciprocal is 2.05, Find the product of the numbers.
For positive integers m and n, which of the following can be written as n^2?
A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 6 days, A finished the remaining work. In how many days A alone can finish the job?