Q1. There were two solid spherical balls. Ratio between radius of first ball to that of second ball is 4 : 3. Second ball was cut into two equal halves and the difference between total surface area of first ball and total surface area of a part of second ball is 1424.5 cm². Find value of radius of bigger ball?
(a) 14 cm
(b) 16 cm
(c) 10.5 cm
(d) 20 cm
(e) 28 cm
Q2. The ratio of time taken by boat A to cover a certain distance in upstream to time taken by boat B to cover same distance in downstream in same river is 7 : 4 respectively. The time taken by boat A to cover another distance in upstream is 75% more than the time taken by it to cover that distance in downstream in the same river. Find speed of boat B in still water is what percent of speed of boat A in still water?
Q3. Surbhi starts from point A at 1 : 00 pm and move towards point B at a speed of 45 km/hr while Sandeep leaves point B at 3 : 00 pm and move towards point A at a speed of 55 km/hr speed. If distance between A and B is 540 km then at what time Surbhi and Sandeep meet each other?
(a) 6: 30 p.m.
(b) 7 : 30 p.m.
(c) 7 : 00 p.m.
(d) 8 : 00 p.m.
(e) 7 : 45 p.m.
Directions (6-10): Study the bar chart given below and answer the following questions.
Bar chart shows the percentage of applicants who applied for renewal of passports on 5 different passport centers (A, B, C, D & E) and percentage of female applicants who applied for renewal of passports out of total applicants who applied for renewal of passports.
Note – Total number of applicants on a particular center = Number of applicants for new passport on that center + Number of applicants for renewal of passport on that center.
Q6. If total number of applicants in E are 70% of total number of applicants in A and ratio of male to female applicants who applied for new passports in A & E is 7 : 3 & 2 : 1 respectively, then find ratio of total female applicants in A to total female applicants in E.
(a) 85 : 91
(b) 90 : 91
(c) 90 : 93
(d) 88 : 91
(e) None of the above.
Q8. If difference between male and female who applied for renewal of passports from A is 2400, then find number of applicants who applied for new passport from A.
Q9. If total applicants from B are 5000 less than total applicants from E and male applicants who applied for renewal of passports from B is 3600, then find total number of applicants who applied for new passports from B & E together
Q10. If total applicants from C & E together are 30000 and female applicants who applied for renewal of passports from C are 800 more than that of from E, then find average number of applicants who applied for new passports from C & E.
Directions (11-15): Study the table given below and answer the following questions. Some data is missing in the table.
Table shows data regarding Rs.20 notes received by 5 different banks during demonetization.
Note – 1. ‘Return’ is the amount (face value of note) of notes returned by bank to its customers.
2. Each bank has given minimum of 50% return on all notes received by it.
Q11. If difference of notes on which 50% return is given and on which 80% return is given of PNB is 1000, then find number of notes on which 100% return is given by PNB are what percent of total notes received by BOB?
Q12. If total number of notes on which BOI gave 100% return and 50% return are 13500, then find total amount received by BOI is how much more or less than total amount received by Axis bank?
Q13. If ratio of notes on which (50% return : 80% return) is given by BOB is same as ratio of notes on which (50% return : 80% return) is given by Axis bank and number of notes on which BOB gave 100% return are 20% less than total notes received by PNB, then find ratio of notes on which BOB gave 80% return to that of on which it gave 100% return.
(a) 2 : 3
(b) 1 : 3
(c) 4 : 5
(d) 5 : 7
(e) None of the above.
Q14. If total number of notes received by BOI is 40% less than total number of notes received by SBI, then find average number of Rs.20 notes received by these 5 banks.
(e) Cannot be determined.
Q15. If percentage of notes on which 100% return is given by PNB is 50%, then find the amount earned by PNB in this whole transaction.
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