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If x ¤ y = (x + y)^2 - (x - y)^2. Then √2 ¤ √2 =
The first Republic Day of India was celebrated on 26th January, 1950. It was :
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
What is the reciprocal of (AB)/(A+B)^2?
8 couples attend a dance show in a TV channel. A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is at least 1 couple will be selected is :
A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.75?
40 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 5:3. How many liters of Liquid Q must be added to make the ratio 5:6?
In a store 6 different CDs are there. If John can buy 2 CDs, how many cases that he can buy are there?
What percent of a day is 15 hours?
If P * Q implies (P2 + Q2), 8 * (3 * 2) = ?
Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 100 pages?
Country X taxes each of its citizens an amount equal to 10 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income?
The total weight of eight nougat nuggets is 3 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Last year a certain bond price with a face value of 5000 yielded 6% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
On a map, 1 inch represents 28 miles. How many Z inches would be necessary to represent a distance of 383.6 miles?
Three friends A, B and C decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share thrice, no apples were left.How many apples were there?
4 years ago, Paula was 4 times as old as Karl. In 12 years, Paula will be twice as old as Karl. What is the sum of their ages now?
Find the average of the series : 220, 180, 328, 147 and 160?
If 20% of a number = 1000, then 120% of that number will be?
In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 300 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 40% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resul...
What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged?
Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?
You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different W ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10} A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-5)(x+10)(2x-5) = 0?
At a certain high school, the senior class is twice the size of the junior class. If 7/8 of the seniors and 1/2 of the juniors study Japanese, what fraction of the students in both classes study Japanese?
A bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
The ratio of two quantities is 5 : 8. If each of the quantities is increased by 10, what is the ratio of the new quantities?
$364 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share?
If the tens digit of positive integers q, y are 6, how many values of the tens digit of 2(q+y) can be there?
The difference between a number and its three-fifth is 50. What is the number ?
In the equation 2x – cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 2 ?
A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 25 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 35 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
What least number must be added to 9879, so that the sum is completely divisible by 10 ?
IN Common Wealth Games an athlete runs 200 meters in 24 seconds. Hisspeed is ?
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:
Anand and Deepak started a business investing Rs. 6,000 and Rs. 7,000 respectively. Out of a total profit of Rs. 1,300. Deepak's share is?
An art gallery owner is hanging paintings for a new show. Of the seven paintings she has to choose from, she can only hang three 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?
If a2 - b2 = 10 and a*b = 5, find a4 + b4.
A numberais squared and then multiplied by negative 3. The result of this operation T is equal to three times the sum of three timesaand two. What is one possible value ofa?
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times ...
If 9a - b = 10b + 50 = -12b - 2a, what is the value of 11a + 11b?
If 40 percent of the members of a certain organization are women and 4/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number ...
What is the remainder when (71)(73) is divided by 9?
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Look at this series: 70, 71, 76, 70, 81, __, 70, 91, ... What number should fill the blank?
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is?
What is the smallest positive integer X such that (X+1)^2 is divisible by 28, 98, 242, and 308?
The area of a right-angled triangle is two-thirds of the area of a rectangle. The base of the triangle is 80 percent of the breadth of the rectangle. If the perimeter of the rectangle is 200 cm, what is the height of the triangle?
If t and g are distinct prime numbers less than 10, which of the following cannot be the product of t and g?
A rectangular cube has a volume of 10 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is? Choices
In 2008, a certain factory produced 40% more widgets than it did in 2007, and its production in 2009 was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?
Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
If x, 2, 3, 4 are there and the range and median of them are the same, what is the value of x?
A shopkeeper has 280 kg of apples. He sells 30% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 10 family members in a row for the picture?
The difference of 2 digit no. & the no. obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In ...
Four persons have to cross the bridge they are having one torch light. Four persons take 1,2,5,10 minutes respectively, when two persons are going the will take the time of the slowest person what is the time taken to cross all of them.
A rectangular grass field is 75 m * 55 m, it has a path of 2.8 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
1. How much more would Rs.12000 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?
John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a 15% tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. If John paid $1.26 more than Jane, what was the original price of the dish?
Find the area of a parallelogram with base 24 cm and height 16 cm?
The total marks obtained by a student in Mathematics and Physics is 40 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
A scuba diver descends at a rate of 60 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 3600feet below the sea level..how long will he take to reach the ship?
The ratio T , by volume of soap to alcohol to water in a 76 litre solution is 2: 50: 100 . The solution is then altered by adding more soap, alcohol and water.After this alteration the ratio, by volume of soap to water in the solution doubles whereas the ratio, by volume of soap to water remains the same as before. Wha...
A rectangular swimming pool is 20 feet by 20 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 576 square feet. What is the width of the deck?
There are n cities. What is the number of airlines that connected 6 different cities (airline from city A to city B is different with airline from city B to city A)?
How many 4-letter word with or without meaning can be formed out of the letters of the word 'LOGARITHMS' if repetition of letters is not allowed
A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
A die is rolled twice. What is the probability of getting a sum equal to 9?
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 11 meters, and the interior of tank B has a height of 11 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 70% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
Scotty B is helping his brother Jimmy B with math patterns. Jimmy's paper has 12, 24, 36, 48, and a blank space. What number should Jimmy B put in the blank space?
A car covers a distance of 1122 km in 6 ½ hours. Find its speed?
There are 2000 employees working in abc limited. out of them 40% of the employees using i phone and out of them 12% having BMW car out of them 70% are boys. Then find out the number of boys how many of the having BMW car and i phone?
A train 280 m long, running with a speed of 36 km / hr will pass a tree in
In a jar there are 28 white balls, 30 green balls and 42 blue balls. How many balls must be taken out in order to make sure we have 25 balls of the same color?
In order to fulfill a local club charitable function request for x cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for ...
Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 400 funds on the list have 3-star ratings, how many funds are on the list?
The price of a certain truck this year is $36,000, which is 20 percent greater than the cost of the truck last year. What was the price of the truck last year?
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Arun house area is the 10% more than of Akash house .if Akash House area is 144 Sqr m .then what is the area of Arun house?
A student chose a number, multiplied it by 2, then subtracted 152 from the result and got 102. What was the number he chose?
What investment must be made to obtain Rs 650 income from 10% stock at Rs 96?
In a bag containing 5balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of the balls that initiallyin the bag wereequally possible ?
Darren bought 5 packs of white T-shirts and 3 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 6, and the blue T-shirts come in packs of 9. How many T-shirts did Darren buy in all?
Three years ago, the ratio of ages of P and Q was 4:3. Six years from now, the ratio of their ages will be 7:6. What is P's age at present?
If 1+9+8=1, what is 2+8+9 ?
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
1100 boys and 700 girls are examined in a test; 48% of the boys and 35% of the girls pass. The percentage of the total who failed is ?
Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
When two coins are tossed,Find the probability of getting all heads?
Father is aged three times more than his son Suresh. After 8 years, he would be two and a half times of Suresh's age. After further 8 years, how many times would he be of Suresh's age?
In a house, there are 4 birds, 3 dogs, and 18 cats living with the human family. If the total number of feet in the house are 74 more than the number of heads in the house, how many family members are there?
Two pipes P and Q can fill a cistern in 20 and 15 minutes respectively. Both are opened together, but at the end of 6 minutes the first is turned off. How much longer will the cistern take to fill?
What will come in place of the x in the following Number series? 5,28,57,88,125