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A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Three numbers are in the ratio 1:2:3 and their H.C.F is 62. The numbers are:
The present age of the father is 3years more than 3 times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father?
If a = 105 and a^3 = 21 × 25 × 45 × b, what is the value of b?
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take a day more. How long does it take to complete the task if they both work together?
In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the five socks?
7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
The product of all the prime numbers less than 25 is closest to which of the following powers of 10?
A computer wholesaler sells 7 different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate W in miles per hour for the entire trip?
1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member
A father was as old as his son's present at the time of your birth. If the father's age is 36 years now, the son's age 5years back was?
A man can row 6 kmph in still water. When the river is running at 3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 3, and the fifth digit is 2 times the sixth. How many different credit card numbers are possible?
an article whose initial cost is Rs 400 is subjected for discounts of 25%, 15%, and 40% what is the amount the customer have to pay?
John went to a shop 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 difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number T?
Barbata invests $2400 in the National Bank at 4%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
A goods train runs at the speed of 72 kmph and crosses a 240 m long platform in 26 seconds. What is the length of the goods train?
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 4 years?
Two trains are moving at 90 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 6 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Martha takes a road trip from point A to point B. She drives x percent of the distance at 70 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 40.00?
Beth received 4/10 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
The population of a town is 8100. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
How many 2-inch by 3-inch rectangular tiles are required to tile this shaded region?
An offshore company sells two products, L and M. Last year, seventy percent of the units sold were product L, and the price of product L was 25 percent greater than the price of product M. Approximately what percent of the total revenue the company received last year was from the sale of product L?
The difference between a two-digit number and the number obtained by interchanging the digits is 9. What is the difference between the two digits of the number?
If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many digits does this integer consists of?
Instead of multiplying a number by 5, the number is divided by 5. What is the percentage of error obtained ?
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
What is the greatest prime factor of 4^18 - 2^30?
the twonumbers (23__)^32 and (12__)^ 33 has 6 in the last digit what is the missing digit ?
121 x 5^4 = ?
Find the area of a parallelogram with base 48 cm and height 36 cm?
In how many ways can 5 boys and 2 girls bearranged at a table if 2 girls are never together?
Find the number of different meals of 4 items that you can get from the given menu of 6 items and no need to choose different items.
Calculate 469111 x 9999 = ?
The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 24 seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken under 10 minutes ?
A survey was taken among 100 brainiacs. Of those surveyed, twice as many brainiacs likerebus teasers as math teasers. If 18 brainiacs like both rebus teasers and math teasers and 4like neither kind of teaser, how many brainiacs like math teasers but not rebus teasers?
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 9020, then what will be the share of Sameer in the profit?
A person can walk at a constant rate of 8mph and can bike at a rate of 16mph. If he wants to travel 88 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk?
The sum of all the integers k such that −26 < k < 24 is
A rectangular-shaped carpet that measures x feet by y feet is priced at $42. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
What is the Value given by the equation (-2+a)^2=(a-2)^2?
A customer purchased a package of ground beef at a cost of $1.80 per pound. For the same amount of money, the customer could have purchased a piece of steak that weighed 20 percent less than the package of ground beef. What was the cost per pound of the steak?
The password for a computer account has to consist of exactly eight characters. Characters can be chosen from any of the following: letter of the alphabet, numerical digits from 0 to 9, a hyphen, or the exclamation mark. Upper-case letters (e.g., A) are considered different from lower-case letters (e.g., a), and characters can be repeated. Given these rules, how many different passwords are possible?
Find 16th term in the series 7, 13, 19, 25, ...
If the wheel is 14 cm then the number of revolutions to cover a distance of 1672 cm is?
During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
A can run 3 km distance in 2 min , while B can run this distance in 2 min 30 sec. By how much distance can A beat B?
Joe invested one half of his savings in a bond that paid simple interest for 2 years and received $450 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $605 as interest. What was the annual rate of interest?
How many positive integers less than 9,000 are there in which the sum of the digits equals 5?
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of r + s?
In how many ways a group of 5 men and 2 women can be made out of total of 7 men and 3 women?
A certain sum of money amounts to Rs. 1008 in 2 years and to Rs.1164 in 3 ½ years. Find the sum and rate of interests.
For integers x and y, if 91x = 8y, which of the following must be true? I. x > y II. y/7 is an integer III. The cube root of x is an integer
An elevator starts with 5 pasengers and stops at 8 different floors of the house. Find out the probability of all the 5 passengers alighting at different floors.
if remainder is 8 , quotient is 43 and dividend is 997 then what is divisor ?
5, 10, 13, 26, 29, 58, 61, (....)
Which of the following are divisible by both 2 and 3? I. 234,124,422 II. 88,865,544,268 III. 5,555,554,673
The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
If each data point in a certain set Q is increased by a factor of 8, what happens with the set's standard deviation?
John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/4 the number of cans that Karen collected and 1/9 the number of cans that Luke collected. The number of cans that Karen collected was what fraction of the total number of cans that John, Karen, and Luke collected?
the cost of a tv is rs.2400 which is 20% below the marked price.If it is sold at a discount of 16% on the marked price,then find its marked price,selling price and profit ?
If A father said to his elder son, "I was as old as you are at the present at the time of your birth". If the father's age is 25 years now, what was the son's age four years back?
The equation r = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at r = -5, the equation for l is
SECTION-1 If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
A train 300 m long passed a pole in 30 sec. How long will it take to pass a platform 650 m long?
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.30 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
if xy+z=x(y+z) which of the following must be true?
How much time will it take for an amount of Rs. 400 to yield Rs. 100 as interest at 5% per annum of simple interest?
In a certain country 1/3 of 4 = 8. Assuming the same proportion, what would be the value of 1/8 of 4 ?
A man spends Rs. 1700 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
Peter rolls two dice at the same time. What is the probability that he will not roll a double?
Length of a rectangular plot is 50 mtr more than its breadth. If the cost of fencin g the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
The simple interest on a sum in 2 years is Rs. 96 and the compound interest on the same sum for the sametime is Rs. 99. Find the sum and the rate.
The no of revolutions a wheel of diameter 40cm makes in traveling a distance of 176m is
A and B can do a work in 6 days.They both started the work and after three days A left the work.B finished the remaining work in 15 days.In how many days will A finish the work?
Rs.1600 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.85. How much was lent at 5%?
A pharmaceutical company received $4 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 10 and 12. The larger of the two numbers is:
How many ways can 7 friends be arranged around a circular dinner table?
A bat is bought for Rs.400 and sold at a gain of 30% find its selling price.
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 9 p.c?
Think of a number, divide it by 5 and add 8 to it. The result is 61. What is the number thought of?
At what price must an article costing Rs.51.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
If the salary of an employee is first increased by 20% and the decreased by 12%, then what is the change in his salary in percent?
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Reena took a loan of 1500 with simple interest for as many years as the rate of interest. If she paid 735 as interest at the end of the loan period, what was the rate of interest?
A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $65,000, what is the average income of the other 40 customers? Is there a way to solve this using weighted average concept instead of doing tedious calculations?
If 20% of certain quantity of work is done by A and the rest 80% by B, the work is completed in 20 days. If 80% of the work is done by A and the remaining 20% by B, then the work is completed in 30 days. How many days are required to complete the work , if A and B work together .
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $55,000?