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Question 1:

What is the greatest number which divides 59 and 54 leaves remainders 3 and 5 respectively?

Question 2:

The sum of three consecutive odd numbers is 36 more than the first of these numbers. What is the middle number?

Question 3:

In an organization number of males and females are 145 and 116 respectively. Average Age of females and males are $28.5$ years and $31.2$ years respectively. The average age (in years) of all males and females is:

Question 4:

The mean of the marks of three students in an examination of total 45 marks is 38. Two fresh students appeared in the examination. What is the lowest score that can be obtained by one of the new students who has scored less marks than the second new student so that the total average of the marks of five students becomes 40 ?

Question 5:

The average temperature for Monday, Tuesday, Wednesday was $30^{\circ} \mathrm{C}$ and for Tuesday, Wednesday and Thursday the average temperature was $33^{\circ} \mathrm{C}$. Accordingly, if Monday's temperature was $32^{\circ} \mathrm{C}$ then what was the temperature on Thursday?

Question 6:

Every month, Kritika spends $30 \%$ of her income on house rent and $60 \%$ of the remaining on household expenses. If she saves $₹ 6300$ every month, then what is her total monthly income?

Question 7:

The population of a town is 15,000. If the number of males increases by 8% and the number of females by 10%, then the population will increase to 16,300. Accordingly, find the number of females in that city.

Question 8:

The decimal representation of $\frac{14587}{2^{1} \times 5^{4}}$ will terminate after how many decimal places?

Question 9:

Select the most appropriate option to solve the equation 


Question 10:

If $x^{\mathrm{a}} \cdot \mathrm{y}^{\mathrm{b}}=(x+\mathrm{y})^{\mathrm{a}+\mathrm{b}} \cdot$ then $\frac{d y}{d x}$ equals