Q1. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hrs faster than the first pipe and 4 hrs slower than the third pipe. The time required by the first pipe is:
Q2. N number of men can finish a piece of work in 40 days. If there were 8 more men, the work could be finished in 10 days less. What will be double the original no of men?
Q3. A sum of money is accumulating at compound interest at a certain rate of interest. If simple interest instead of compound were reckoned, the interest for the first two years would be diminished by Rs. 20 and that for the first three years by Rs. 61. Find the sum.
Q4. Expenses of a hostel are partly constant and partly vary with number of students. When there are 20 students, total expenses are Rs. 2000. When there are 50 students, total expenses are Rs. 3500. Find the total expenses when there are 70 students in the hostel.
E = A + Bn
Where, A, B are constant and n is the number of students.
Now,
2000 = A + 20B
3500 = A + 50B
Solving these equations,
30B = 1500 ⇔ B = 50
Hence,
A = 1000.
Now total expenses, when there are 70 students.
E = 1000 + 70 × 50 = 4500
Q5. The age of a person k years ago was half of what his age would be k years from now. The age of the same person p years from now would be thrice of what his age was p years ago. What is the value of the ratio k : p?
Directions (6-10): The following pie chart shows the distribution of ‘SBI Clerk 2018’ seats among the students in various states who have cleared the overall cut off for selection. The table shows the ratio of male to female in them. Study the both graphs carefully to answer the questions that follow:
Note: Total no. of selected students = Total no. of seats and no seat is vacant.
Q6. Total no. of male students from UP is what percent more than the total no. of male students from Maharashtra?
Q7. What is the difference between average no. of female students from UP, MP and Delhi together and total no. of female students from Gujrat and Maharashtra together?
Q8. If 50/3% students of Maharashtra were kept in waiting list and 20/3% students of Gujrat were kept in waiting list, then what is the ratio of waiting list students from Gujrat to the no. of waiting list students from Maharashtra?
Q9. If 50% students from UP who got selected come under OBC (NCL) category in which 40% students are female, then total no. of female students from UP other than OBC (NCL) category is:
Q10. What is the total no. of female students from all the states together who got selection in SBI Clerk 2018?
Directions (11-15): What should come in place of the question mark (?) in the following questions?
Q11. 7960 + 2956 - 8050 + 4028 = ?
Q12. 25 × 3.25 + 50.4 ÷ 24 = ?
=83.35
Q13. 350% of ? ÷50+248=591
Q15. (833.25 - 384.45) ÷ 24 = ?
? = 18.7