Math Problem Solver

Q1. What is the unit digit of 2938787 ∗ 45612793199 ∗ 85321458? (Write the complete

procedure)

Q2. What is the LCM of 24, 52, 76? (Write both general and shortcut procedures)

Q3. Find the least number, which when divided by 12, 18, 36 and 56 leaves in each case a

remainder of 7 is:

Q4. If the numerator of a fraction is increased by 20% and its denominator is decreased by

10%, the fraction becomes 16/21. Find the original fraction?

Q5. The salary of a man increased by 30% at the end of first year and by 15% at the end of

second year. If his initial salary was Rs. 20,000/-, then what will be his salary at the end of

second year?

Q6. Kiran can do a piece of work in 15 days; Sharan can do the same piece of work in 35 days.

In how many days the work can be finished if both of them are working together?

Q7. A, B and C can construct a wall in 25, 30 and 45 days respectively. In how many days

(approximately) can they construct the wall if they are working together?

Q8. Find the remainder when 293 is divided by 89?

Q9. What is the divisibility rule of 8, explain with an example.

Q10. What is the value of 40% of 20% of 66.66% of 125% of 60?

Q11. What is the % change in the area of a rectangle when its length increases by 10% and its

width decreased by 10%?

Q12. What is the HCF of 36, 54 and 72?

Q13. A can do a piece of work in 18 hours. B can do this work in 24 hours. A started the work

alone. After how many days should B join him, so that the work is finished in 12 hours?

Q14. Find the unit digit of 1469321 + 835435 − 457413 ∗ 986424563

.

Q15. Ram, Rahim and Robert can complete a work in 12, 15, 20 days respectively, they began

the work together but Ram left 4 days before the completion of work and Rahim left 1 day

before the completion of work, in how many days, the total work has been finished?

Q16. When 789X432 is divisible by 6, find the missing digit ‘X’?

Q17. 4 boys and 6 girls can do a work in 24 days; 6 girls and 5 boys can do it in 20 days, in how

many days will 9 boys and 1 girl can finish the work?

Q18. A can do 20% of the work in 5 days, B can do 33.33% of the work in 5 days. On what day,

the work gets finished if they work together?

Q19. In a company, 60% of the employees are men. Of these 40% are drawing more than ₹

50000 per year. If 36% of the total employees of the company draw more than₹ 50000 per

year, then what is the percentage of women who are drawing less than ₹ 50000 per year?

Q20. Kareena can do a piece of work in 9 days and Krishna can do the same work in 18 days.

They started the work. After 3 days Shahid joined them, who can complete alone the same

whole work in 3 days. What is the total No. of days in which they had completed the work