Recent questions in Olympiad-Math

If n is a natural number, then (6n2 + 6n) is always divisible by:

asked Oct 14, 2015 by pady_1

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Which of the following is a prime number ?

asked Oct 14, 2015 by pady_1

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Which of the following fractions is greater than (3/4) and less than (5/6) ?

asked Oct 14, 2015 by pady_1

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The price of commodity X increases by 40 paise every year, while the price of commodityY increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?

asked Oct 14, 2015 by pady_1

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What decimal of an hour is a second ?

asked Oct 14, 2015 by pady_1

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The total length of all songs on a CD, Anshuman bought is about 74 minutes. Each song is between 4 to 6 minutes long. Which is a reasonable number of songs that could be on the CD ?

asked Oct 14, 2015 by pady_1

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A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

asked Oct 14, 2015 by pady_1

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In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

asked Oct 14, 2015 by pady_1

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A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

asked Oct 14, 2015 by pady_1

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Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

asked Oct 14, 2015 by pady_1

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A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

asked Oct 14, 2015 by pady_1

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The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

asked Oct 14, 2015 by pady_1

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A man complete a journey in 10 hours. He 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.

asked Oct 14, 2015 by pady_1

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Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

asked Oct 14, 2015 by pady_1

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What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

asked Oct 14, 2015 by pady_1

1 answer

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

asked Oct 14, 2015 by pady_1

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A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

asked Oct 14, 2015 by pady_1

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Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

asked Oct 14, 2015 by pady_1

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A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

asked Oct 14, 2015 by pady_1

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If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

asked Oct 14, 2015 by pady_1

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If 0.75 : x :: 5 : 8, then x is equal to:

asked Oct 14, 2015 by pady_1

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If Rs. 782 be divided into three parts, proportional to (1/2) : (2/3) ; (3:4), then the first part is:

asked Oct 14, 2015 by pady_1

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Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

asked Oct 14, 2015 by pady_1

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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:

asked Oct 14, 2015 by pady_1

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The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

asked Oct 14, 2015 by pady_1

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The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

asked Oct 14, 2015 by pady_1

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Find the highest common factor of 36 and 84

asked Oct 14, 2015 by pady_1

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the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m ,85 cm, 12 m, 95 cm is

asked Oct 14, 2015 by pady_1

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What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

asked Oct 14, 2015 by pady_1

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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

asked Oct 14, 2015 by pady_1

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100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

asked Oct 14, 2015 by pady_1

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Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

asked Oct 14, 2015 by pady_1

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Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

asked Oct 14, 2015 by pady_1

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A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

asked Oct 14, 2015 by pady_1

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Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

asked Oct 14, 2015 by pady_1

1 answer

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

asked Oct 14, 2015 by pady_1

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The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

asked Oct 14, 2015 by pady_1

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Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

asked Oct 14, 2015 by pady_1

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If 20% of a = b, then b% of 20 is the same as:

asked Oct 14, 2015 by pady_1

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If A = x% of y and B = y% of x, then which of the following is true?

asked Oct 14, 2015 by pady_1

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A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

asked Oct 14, 2015 by pady_1

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The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

asked Oct 14, 2015 by pady_1

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A duck flew at 18 km per hour for 3 hours, then at 15 km per hour for 2 hours. How far did the duck fly in all?

asked Oct 14, 2015 by pady_1

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There are 338 cows and goats on a farm. 2/3 of the cows are equal to 1/5 of the goats on the farm. How many cows are there on the farm ?

asked Oct 14, 2015 by pady_1

1 answer

Tameena has 4 old coins : P, Q, R and S. Coin R is worth $ 2.5. Coin S is worth 2 times the value of coin R. Coin Q is worth 3 times the value of coin R. The four coins are worth ` $40 altogether. What is the value of coin P ?

asked Oct 14, 2015 by pady_1

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Misha answered 56% of the 150 problems on her history homework correctly. How many problems on her homework did she answer correctly ?

asked Oct 14, 2015 by pady_1

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In a parking lot, 1 out of every 8 cars is blue. What percent of the cars in this lot are blue?

asked Oct 14, 2015 by pady_1

1 answer

Ankit can run 100 metres in 12.5 seconds. If he competes in the 400metres race, about how many seconds will it take him to run the race ?

asked Oct 14, 2015 by pady_1

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The total length of all songs on a CD, Anshuman bought is about 74 minutes. Each song is between 4 to 6 minutes long. Which is a reasonable number of songs that could be on the CD ?

asked Oct 14, 2015 by pady_1

1 answer

The average of three numbers is 9m + 8. Two of the three numbers are 2m + 3 and 4m + 5. Express the third number in terms of m in the simplest form.

asked Oct 14, 2015 by pady_1

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