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A certain list of 100 data has an average (arithmetic mean) of 9 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 108 data with standard deviation less than d?
A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun five times, approximately what is the probability that the product of the five winning sectors’ integers will be even?
If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
What should come in place of the question mark (?) in the following equation? 6 5⁄6 × 5 1⁄3 + 17 2⁄3 × 1⁄2 = ?
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability E that the team will have exactly 2 women?
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability B that the sum of the 2 numbers on the balls will be even?
If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 30 kmh, what was the average speed of the car for the entire trip?
What is the rate percent when the simple interest on Rs.900 amount to Rs.160 in 4 Years?
When a number is divided by 4 &then multiply by 12 the answer is 9 what is the no.?
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 50%. Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price. In terms of P, how much did Lucas pay?
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:
There is enough provisions for 1200 girls in a hostel for 50 days. If there were 600 girls less, how long will the provision last?
At 1:00, Annie starts to bicycle along a 87 mile road at a constant speed of 15 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
The sum of 5 consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
There are four different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
30 men can do a work in 40 days. When should 16 men leave the work so that the entire work is completed in 40 days after they leave the work?
14 men can complete a piece of work in 30 days. In how many days can 24 men complete that piece of work?
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15?
In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 3 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 4 hours to paint a wall with dimensions a and c. He takes 2 hours to paint a wall with dimensions b and c and 6 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 3, then what is the volume of the room?
If ABC us a three digit number such that no one number is similar to other than how many possible values of ( a + 4b + c ) will be divisible by 40 :
The sector of a circle has radius of 24 cm and central angle 135o. Find its perimeter?
If X=27^324 and Y=3^134, what is the units digit of X/Y?
Find the number of square tiles to cover the floor of a room measuring 4.5 m * 10 m leaving 0.60 m space around the room. A side of square tile is given to be 11 cms?
Find the HCF of 23,46,827
A certain school principal must choose 6 students to attend a field trip out of a group of 10 students. In addition, out of the 6 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 6 students and then select the treasurer and the note-taker?
City A to city B, Andrew drove for 1hr at 42 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?
2/x + 3x = 3(x+2)
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
A bag contains 10 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
The water level in a rectangular swimming pool measuring 60 feet by 20 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
On dividing a certain number by 342, we get 47 as remainder. if same number is divided by 18 . what will be the remainder?
What is the probability that Carol and Bernie will get selected for a job they both applied for in a company, given that their chances of getting selected is 4/5 and 3/5 respectively?
A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
one gear of pulley rotates at a speed of 3 rev/sec another gear roates at 5 rev/sec. if both start together after how many seconds will they be together again
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 7 m, the volume of the box (in m3) is:
A king has 1000 bottles of wine,A queen wants to kill the king and sends a servant to poison the wine .Fortunately the king's guard's catch d servant after he has only poisoned one bottle and the guard don't know which bottle is poisoned .Furthermore it takes one month to have an effect,and there is an anniversary party coming up in 5 weeks time!the king decides he will get some of the prisoners in his vast dungeons to drink the wine.how many minimum prisoners does it required to sample the wine to find out the poisoned bottle so that the guests will still be able to drink the rest of the wine at his anniversary party in 5 weeks time?
A train running at the speed of 90 km/hr crosses a pole in 6 seconds. What is the length of the train?
A train 180 m long is running with a speed of 55 km/hr. In what time will it pass a man who is running at 7km/hr in the direction opposite to that in which the train is going?
The greatest number by which the product of three consecutive multiples of 2 is always
Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 25 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses?
100 is increased by 50%. Find the final number.
Of the four numbers, whose average is 50, the first is one-fourth of the sum of the last three. The first number is ?
While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
What is the smallest integer that satisfies the inequality (x - 3)/ (x^2 - 8x - 20) > 0> 0?
If r = 199,999 and s = 991,999, which of the following is the units digit of r^4 + s^4?
What is the area of a square with perimeter 4P ?
Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
If n divided by 7 has a remainder of 2, what is the remainder when 2 times n is divided by 7?
A bag contains 2 red, 3 green and 2 blue balls. 2 balls are to be drawn randomly. What is the probability that the balls drawn contain no blue ball?
If the product of the integers r, s, t and u is 770, and if 1 < r< s< t< u, what is the value of r+ u?
At 6'o clock clock ticks 6 times. The time between first and last ticks was 30sec. How much time it takes at 11'o clock.
In how many different R ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
The integers 1, 2, …, 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number a + b – 1 is written. What will be the sum of the numbers left on the board at the end?
If December 3rd, 1999 is a Friday, what day is January 7th, 2000?
Find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm.
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
The difference between a number and its two-fifth is 45. What is the number?
What is the total number of prime numbers less than 50?
What will be the compound interest on Rs. 30000 after 3 years at the rate of 12 % per annum
A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the physics club and 3/4 attend the chemistry club. 3/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.
In how many different ways can the letter of the word 'JUDGE ' be arranged in such a way that the vowels always come together?
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 2000, the number of valid votes that the other candidate got, was:
Set S has a mean of 9 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
if the ratio of s.i earned on certain amount on same rate is 4:5.what is the ratio of time?
A man sitting in a train which is traveling at 36 kmph observes that a goods train, traveling in opposite direction, takes 10 seconds to pass him. If the goods train is 240 m long, find its speed
If P and Q are positive integers and P = 10Q + 3, what is the remainder when P is divided by 5?
John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment Q that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
The length of a rectangle is two third of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 4761 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 13 units?
A man is 12 years older than his brother. In two years, his age will be twice the age of his brother. The present age of his brother is:
P alone can complete a piece of work in 14 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
If 20% of a number = 400, then 120% of that number will be?
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit ?
Mohan has 8 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 16 shoes, what is the probability that she will select 2 shoes of the same color?
Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?
In a class of students, the ratio of girls to boys is 1:2. If 2 more girls joined the class, the ratio would be 2:3. How many students are in the class?
The ages of two persons differ by 16 years. 8 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person
A dozen eggs and 10 pounds of oranges are currently at the same price. If the price of a dozen eggs rises by 9 percent and the price of oranges rises by 6 %. How much more will it cost to buy a dozen eggs and 10 pounds of oranges .
Two children want to walk together to visit their aunt, who lives exactly 9 blocks north and 7 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 16 blocks. How many different 16-block routes may they take to travel the shortest possible distance to their aunt’s house?
Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
If 1/12 of the passengers on a ship are from North America, 1/8 are Europeans, 1/3 are from Africa, 1/6 are from Asia and the remaining 35 people are citizens of other continents, then how many passengers are on board the ship?
The avg age of an adult class is 40years. 12new students with an avg age of 32years join the class. Therefore decreasingthe avg by 4year. Find what was the original strength of class?
In a survey about potential presidential candidates A and B, 37% of the public like A and 55% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
On a baseball team, 7 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Catherina works 5 hours per day on Monday, Wednesday and Friday, and 10 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $420 per week. How much does she earn in dollars per hour?
If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+3 ?
A 300 m long train crosses a platform in 40 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A certain quantity of 60% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?

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