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[Elementary Learning] Quant - Average, Mixture and Factors & Factorial-3

Q1:

The average score of a class of boys and girls in an examination is x. The ratio of boys and girls in the class is 5 : 3. If the average score of the boys is x + 3, find the average score of girls.

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Q2:

Two containers contain mixture of milk and water in ratio 2 : 3 and 3 : 4. If both the containers are mixed in the ratio 1 : 1, then find the ratio of milk and water in the new container.

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Q3:

Find the product of all the factors of 60.

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Q4:

Find the sum of even factors of 24 × 33.

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Q5:

A vessel is full of milk. 10 l of milk is taken out and replaced by water. This process is repeated once more. If at the end the ratio of milk and water is 9 : 7, find the initial amount of milk in the vessel.

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Q6:

The frequency distribution data is provided below if the average weight is 32, find the value of x.

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Q7:

Find the sum of all co-primes of 36 ?

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Q8:

A mixture containing 5 litres of water and certain quantity of milk worth ₹ 30 per litre. If pure milk worths ₹ 40 per litre, how much milk is there in the mixture ?

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Q9:

Find number of divisors of 8820

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Q10:

Atul has twice as much money as Abhishek. Abhishek has 20% more money than Rohit. If the average money with them is Rs 115, then Rohit has- 

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Q11:

Find the number of zero in the end of 50! ?

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Q12:

In a class of 40 students, the average age of boys is 20 years and the average age of girls is 18 years. The fraction of girls out of the total students of the class is:

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Q13:

Three containers of equal volume contain alcohol mixed with water. The ratio of alcohol and water are 2 : 5, 3 : 7 and 4 : 5 respectively. All these mixtures are poured into a large container. Find ratio of alcohol and water in the large container.

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Q14:

The average age of 40 students of a class is 15 years 3 months. Due to admission of 5 new students average becomes 15 years. If the age of the younger one is 10 years, find the average of remaining four students.

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Q15:

In a T-20 match, required run rate to win is 8.4. If at the end of 16 over run rate is 6.5, find the run rate to win the match.

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