UP SI MATHS QUIZ-56

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Question 1:

Sumit and Vikash who purchased the shares for the cost of their basic salaries which are in the ratio of $5: 6 .$ Later on company gave them 40 additional shares to each, due to which the ratio changed to $7: 8$. If the worth of each shares is Rs. 78 . what is the basic salary of the person who got less shares?

Question 2:

The average of 5 quantities is 6 . The average of 3 of them is 8. What is the average of the remaining two numbers?

Question 3:

A vessel contains 24 litres of milk. 4 litres are withdrawn and replaced by water. The process is repeated a second time. Find the ratio of milk to water in the resulting mixture?

Question 4:

If the number $579683 p q$ is divisible by both 5 and 8 , then the smallest possible values of $p$ and $q$ will be:

Question 5:

After allowing 15% discount, a dealer wishes to sell a machine for ₹1,22,700. At what price must the machine be marked?(Consider up to two decimals)

Question 6:

The total surface area of a solid hemisphere is 16632 cm$^2$. Its volume is: (Take π=22/7)

Question 7:

A certain number of persons can complete a work in 54 days. If there were 15 persons less, it would take 18 days more for the work to be completed. Initially, the number of persons was:

Question 8:

A dealer professes to sell his goods at cost price, but uses 900 gm weight for a kilogram. Find his profit per cent.

Question 9:

Suraj travels 124 km at a speed of 31 km/h by bus, 96 km at a speed of 16 km/h using a car, and another 105 km at 7 km/h by car. Find his average speed for the entire distance travelled.

Question 10:

In how many years, the compound interest, if compounded annually on a sum of Rs. 60,000 at rate of $8 \%$ per annum is Rs. 9,984 ?