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For a sequence to be considered an arithmetic sequence, there must be a constant difference between the terms. If a,b,c,d,e is an arithmetic sequence, which of the following is also an arithmetic sequence? I. 7a,7b,7c,7d,7e II. a-5, b-5, c-5, d-5, e-5 III. a^3, b^3, c^3, d^3, e^3
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
A train takes 18 seconds to pass completely through a statin 162 m long and 15 seconds through another station 120 m long. The length of the train is:
20 machines can do a work in 5days. How many machines are needed to complete the work in 10days?
If x^2 - 1 = 0 and x > 0, which of the following must be equal to 0 ?
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm³)
A travel agent offers a vacation plan which costs x dollars for the first day, and x/3 for each additional day. How much does a vacation of y days cost, where y > 1.
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $6.00?
The price of an article is cut by 10%. To restore it to the former value, the new price must be increased by
Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time V it could take for 10 cars to be complete?
What approximate value should come in place of question mark (?) in the following equation? 33 1⁄3% of 768.9 + 25% of 161.2 – 69.12 = ?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 16%?
A vendor sells 20 percent of the pears he had and throws away 50 percent of the remainder. The next day, the vendor sells 20 percent of the remaining pears and throws away the rest. In total, what percent of his pears does the vendor throw away?
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 7:3. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fr...
The perimeter of a semi circle is 113 cm then the radius is?
A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders W when the order of the divisors is reversed.
The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:12. If P invested the money for 5 months, find for how much time did Q invest the money?
Jane started baby-sitting when she was 20 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?
The parameter of a square is equal to the perimeter of a rectangle of length 4 cm and breadth 2 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
A group of 6 volunteers is to be interviewed and selected from a pool of 9 candidates. How many different volunteer groups are possible?
Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 48. Find the third number?
Six children — A, B, C, D, E, F — are going to sit in seven chairs in a row. The children CF have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 14 charts have been brought to the meeting, how many pe...
Find the cost price of an item if by selling at Rs.1255, a profit of 10% is made?
The avg. age of a group of 24 students is 20 years.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is?
A fair price shopkeeper takes 10% profit on his goods. He lost 40% goods during theft. His loss percent is:
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by ?
If Feb 12th,1986 falls on Wednesday then Jan 1st,1987 falls on which day?
A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3400, A will get:
6 people can do work in 80 days how much people they required to complete the work in 16 days ?
A clock shows 5.20. After how much time both hands will coincide together?
In an examination 35% of the students passed and 351 failed. How many students appeared for the examination?
A boy rides his bicycle 10km at an average speed of 12km/hr and again travels 12km at an average speed of 10km/hr. His average speed for the entire trip is approximately?
A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ?
Two persons enter the lift of a five storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
Rose and John had the same number of candies. Rose gave John 24 candies so that now John has five times as many candies as Tina has. John has now how many candies?
X completes a work in 70 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be?
What is the length of the longest pole which can be kept in a room 6 m long, 4 m broad and 3 m high?
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 26 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
How many integers n are there such that 1< 4n + 4 < 16?
Fom the integer n, if nnn is odd, then what is true from below options?
A can have a piece of work done in 7 days, B can work five times faster than the A, C can work six times faster than A. How many days will they take to do the work together ?
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Mandrake has to choose from 4 from 14 people. There are 3 girls, 5 boys , 6 children. What is total probability that he will choose 1G , 2B , 1C?
How many numbers between 1000 and 5000 are exactly divisible by 225?
Doughnuts, Cookies and Muffins in a pastry shop are in the ratio of 5: 3 : 1. If there are 50 Doughnuts, the number of Muffins in the shop is:.
Exactly 36% of the numbers in set R are even multiples of 3. If 40% of the even integers in set R are not multiples of 3, what percent of the numbers in set R are not even integers?
A man walking at a rate of 15km/hr crosses a bridge in 40 minutes. The length of the bridge is?
A box contains 3 yellow balls and 7 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
A circle graph shows how the budget of a certain company was spent: 15 percent for transportation, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for salaries. If the area of each sector of the graph is proportional to the percent of t...
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 16 cm height. What is the diameter of each sphere?
X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Two members of a certain club are selected to speak at the next club meeting. If there are 15 different possible selections of the 2 club members, how many members does the club have?
Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 2000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his inv...
If 2 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King and other will be 10? A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen a...
Ayesha's father was 35 years of age when she was born while her mother was 30 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6700 ?
In one can of mixed nuts, 10% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
There is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save. Auggie was very curious to test this theory. Auggie spent all of his money in 5 stores. In each store, he spent Rs.4 more than one-half of what he had when he went in. How many rup...
What is the sum of the odd integers from 25 to 55, inclusive?
A farmer is having a total of 20 fruits (apples or oranges). He made two type packets with these fruits. All the fruits are in either apple packets of orange packets. Apple Packets contain 3 apples each and Orange packets contain 2 oranges each. If \|apple packets\| < 4 Then How many packets of apples the farmer can have...
A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
The average (arithmetic mean)R of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true? I. x is an integer II. (x−0.5) is an integer. III. 2x is an odd integer.
A grocer stacked oranges in a pile. The bottom layer was rectangular with 4 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of o...
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 23 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
An entry in an unshaded square is obtained by adding the entries connected to it from the row above (11 is one such number). Write the value of n ?
The population of a town is 10000. It increases annually at the rate of 40% p.a. What will be its population after 2 years?
Length of a rectangular plot is 20mtr more than its breadth. If the cost of fencing theplot at 26.50 per meter is Rs.5300, what is the length of the plot in mtr?
How much interest will $10,000 earn in 9 months at an annual rate of 4%?
What is the remainder when 8^714 is divided by 5 ?
A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 40 in...
The edge of a cube is 5a cm. Find its surface?
Of the 65 cars on a car lot, 45 have power steering, 25 have power windows, and 17 have both power steering and power windows. How many of the cars on the lot have neither power steering nor power windows?
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true? I. x > y>z II. x > y III. x = z
To create paint with a certain shade of gray, one must combine 2.116 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Statements: The old order changed yielding place to new. Assumption: 1) Change is the law of nature. 2) Discard old ideas because they are old.
A man is 24 years older than his son.In two years, his age will be twice the age of his son.The present age of the son is :
The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?
In how many R ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
If 25% of x is 20 less than 15% of 1500, then x is?
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
Which of the following functions does not intersect with E = 3x^2 + 2x + 1
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
A fast food truck spends one third of its monthly budget for truck rent and half of the rest for food and beverages. What percentage of the budget does the fast food truck spend for food and beverages?
In a apartment, 30% of the people speak English, 20% speak Hindi and 12% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Difference of two numbers is 1760. If 7.5% of the number is 12.5% of the other number , find the number ?
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 222 responses are needed, what is the minimum number of questionnaires that should be mailed?
A fruit salad mixture consists of apples, peaches, and grapes. There are 2 times as many pounds of apples as grapes and 3 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 12 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
34 is related to 12 in the same way as 59 is related to
Evaluate 28% of 450 + 45% of 260
Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 25 in two years, at the same percent rate per annum?

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