BIHAR CGL PRE MATHS QUIZ-4

Solve the following equation:

$[(9+8 \div 2 \times 3) \text { of } 8 \div 2+3-20]^{2} \div 67$

Amit can do a certain work in 15 days. Sumit is $40 \%$ more efficient than Amit. In how many days will Amit and Sumit together complete the work?

The ratio of speeds of two cars of $10: 11$. If the first car travels a distance of $500 \mathrm{kms}$ in 10 hours, what is the speed of the second car?

A family consists of two parents and three children. If the average age of the parents is 36 years and that of the children is 10 years. Find the average age (in years) of the family.

Find the difference between the compound and simple interest on a principal of Rs. 2,000 for 3 years at an annual interest rate of $10 \%$.

The simple interest is Rs. 1 less than the compound interest on a certain principal for a period of 2 years at $10 \%$ interest. Find the principal?

Some articles were marked $25%$ above their cost price. One of such articles was sold at a profit of $20%$ on the marked price and the other at a loss of 10% on the marked price. Find the overall percentage profit?

If (2x + 3) : (5x + 4) is the triplicate ratio of $3: 4$, find the square of 'x'?

An article was sold for Rs. 2,288 at a discount of $20 \%$ after 2 successive mark-ups of $10 \%$ and $30 \%$. Find the cost price of the article.

The HCF and LCM of 2 numbers are 2 and 60 respectively. If one of the numbers is 14 more than the other, find the smaller number.