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big_math_dataset

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If x > 1, which of the following decreases as x decreases? I. x + x^2 II. 2x^2 − x III. (x + 1)
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(46)-A(45)?
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?
Question: What is the remainder when Q=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144?
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
Read the following three equations: 5 ~ 4 ~ 3 ~ 9 = 4215 6 ~ 9 ~ 2 ~ 6 = 3816 4 ~ 7 ~ 3 ~ 3 = 1122 Now based on the rule that has been used, solve the following equation: 5 ~ 2 ~ 7 ~ 4 = ____
An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many ...
E=(429)^2 * 237 * (1243)^3 is thrice of ?
Set A consists of the integers from 4 to 15, inclusive, while set B consists of the integers from 7 to 20, inclusive. How many distinct integers do belong to the both sets at the same time?
If the average (arithmetic mean) of the four numbers 5, 15, 30, and (N + 1) is 30, then N =
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?
The present population of a town is 10000. Population increase rate is 10% p.a. Find the population of town after 2 years?
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 35
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 6H, which of the following represents the amount that Roberta paid?
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 kmph and 25 kmph. When will they meet for the first time any where on the track if they are moving in the opposite direction ?
The product of digit is a Factor of a two digit number.No of such digit are:
On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of...
A vertical tower OP stands at the centre O of a square ABCD. Let h and b denote the lengths OP and AB respectively. Suppose ∠APB = 60°, then the relationship between h and b can be expressed as :
Circles X and Y are concentric. If the radius of circle X is seven times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?
If x is an odd integer, which of the following is an odd integer?
The least perfect square, which is divisible by each of 21, 36 and 66 is:
The average of first 15 natural numbers is?
In what time a sum of money double itself at 2% per annum simple interest?
By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
If the average (arithmetic mean) of a and b is 110, and the average of b and c is 170, what is the value of a − c?
3 candidates in an election and received 3000, 5000 and 15000 votes respectively. What % of the total votes did the winningcandidate got in that election?
A corporation that had $115.19 billion in profits for the year paid out $250.10 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9)
A person bought 20 kg of rice at Rs 10.50 per kg and 30 kgs at Rs 12 per kg. He mixed the two and sold the mixture at Rs 11.40 per kg. What was the gain in his deal(in Rs)?
When positive integer N is divided by positive integer P, the quotient is 18, with a remainder of 7. When N is divided by (P + 3), the quotient is 15 and the remainder is 1. What is the value of N?
If 15 toys cost Rs, 234, what do 35 toys cost?
What is the difference between the compound interest on Rs.12000 at 24% p.a. for one year when compounded yearly and half yearly?
The duplicate ratio of 1:4 is?
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?
What proximate value should come in place of the question mark (?) in the following question? 6.595 × 1084 + 2568.34 – 1708.34 = ?
A man wants to sell his scooter.There are two offers,one at Rs.12,000 cash and the other at a credit of Rs. 12,880 to be paid after 8 months,money being at 18% per annum. Which is the better offer ?
Noelle walks from point A to point B at an average speed of 3 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 4 kilometers per hour?
c is the product of each integer from 1 to 50, inclusive and d=100^k, where k is an integer . What is the greatest value of k for which y is a factor of c?
The distance from City A to City B is 60 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is?
What could be the range of a set consisting of odd multiples of (6+1)?
In a 120 meters race A beats B by 56 m or 7 seconds. A's time over the course is:
The triplicate ratio of 1:3 is?
36 welders work at a constant rate they complete an order in 5 days. If after the first day, 12 welders start to work on the other project, how many more days the remaining welders will need to complete the rest of the order?
A straight pipe 5 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
A rectangular block 10cm by 20cm by 35cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 500 feet. What is its area, in square feet?
8 years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Sam, Suresh and Sanket run a race of 1400 meters. Sam runs twice as fast as Suresh while Suresh runs thrice as fast as Sanket. If Sanket finishes the race by clocking 15 minutes, how far was Suresh from the finish line when Sam must have finished the race?
A man loses 1/3rd of his money, then wins Rs. 10 loses 1/3rd of what he has and wins Rs. 20 and finds that he has exactly what be had at the beginning. What was the amount he originally bad ?
A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
A train travels 210 km in 3 hours and 270 km in 4 hours.find the average speed of train.
A(n+1)=1+(1/A(n)) and A(1)=1. What is the value of A(9)?
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Each term of a certain sequence is 3 less than the previous term. The first term of this sequence is 15. If the sum of the first n terms of the sequence is n, what is the value of positive integer n?
. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
In how many ways can you seat 5 people on a bench if one of them does not want to sit on the middle seat or at either end?
A racng car travels k kilometres in n hours. How many miles will it travel in x hours at the same rate?
Of 30 applicants for a job, 16 had at least 4 years' experience, 21 had degrees, and 5 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?
Six balls of different colors are to be placed in three different boxes such that any box contains at least 1 ball . What is the maximum number of different ways in which this can be done?
Subtract the absolute value from the local value of 4 in 564823
Find the simple interest on Rs 4000 at 20% per annum for the period from 2nd March 2016 to 4th May 2016.
P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Jeni has 7 flavors of cake in his bakery. How many options are there for Sheera to pick a one-flavor, two-flavor,three-flavor, four-flavor, five-flavor, six-flavor or seven-flavor order?
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: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
A butler stole wine from a butt of sherry which contained 40% of spirit and he replaced,what he had stolen by wine containing only 16% spirit. The butt was then of 24% strength only. How much of the butt did he steal?
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?
In the first hour of a two-hour trip, a car traveled d kilometers, and in the second hour of the trip, the car traveled a quarter that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?
How many zeros does 135^19 x 42^17 end with?
How many integers from 10 to 180, inclusive, are divisible by 3 but not divisible by 7?
Five kids were walking down the street. At a shop, they saw three brands of chocolates viz. Cadbury, Nestle and Ferrero being displayed. The shopkeeper has three chocolates which are of three different flavors of each brand. The kids bought all the chocolates available and decided to play a game. The chocolates will be...
(12)^3 x 6^4 ÷ 432 = ?
On dividing 122 by a number, the quotient is 6 and the remainder is 2. Find the divisor?
A farmer needs 2400 ounces of corn to feed his pigs. How many pounds should he buy?
How many minutes does it take John to type z words if he types at the rate of y words per minute?
Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
How long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 80 m in length?
Take number 1000 and then add 20 to it. Now add 1000 one more time. Now add 30. Now add 1000 one more time. Now add 40. Now add 1000 one more time. Now add 10. What is the total?
Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temperature of the particular day is 35°C , it is equal to
Three consecutive traffic signals each show either red or green. How many different arrangements of the three signals are possible? (Note: “Red-redgreen” is different from “green-red-red.”)
A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 84 km downstream
The average of first six prime numbers greater than 65 is?
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
A can do a piece of work in 12 days and B alone can do it in 14 days. How much time will both take to finish the work ?
The mean salary in ICM ltd. was Rs 1500, and the standard deviation was Rs 400. A year later each employee got a Rs 100 raise. After another year each employee's salary was increased by 20%. The standard deviation of the current salary is?
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.240 in 2 years?
If k is a non-negative integer and 15^k is a divisor of 823,435 then 5^k - k^5 =
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 65, then how long is the base of isosceles triangle?
A train is moving at a speed of 132 km/hr. If the length of the train is 200 meters, how long will it take to cross a railway platform 295 meters long
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 225 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Q is not equal to zero and k = (Q x n - s)/2.What is n?
What is the measure of the radius of the circle inscribed in a triangle whose sides measure 8, 15 and 19 units?
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.84. How much was lent at 5%?
A woman complete a journey in 10 hours. She 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.
Pat and Cathy begin running at the same time and they start at the same place on a straight path. Pat runs at 9 miles per hour, and Cathy runs at 8 miles per hour. After 30 minutes, Pat stops to stretch. If it takes Pat 15 minutes to stretch and Cathy continues to run during this time, how many minutes will it take Pat...
An employer has 8 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?