Table of Contents

**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?**

(a) 150%

(b) 120%

(c) 125%

(d) 80%

(e) 100%

**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.**

(a) 9000

(b) 6000

(c) 7000

(d) 10000

(e) 8000

**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**

(a) 18500

(b) 21500

(c) 15500

(d) 19500

(e) 24500

**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.**

(a) 9000

(b) 8000

(c) 6500

(d) 4000

(e) 11500

**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? **

(a) 12.5%

(b) 37.5%

(c) 50%

(d) 25%

(e) 62.5%

**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? **

(a) Rs.1,20,000

(b) Rs.1,00,000

(c) Rs.1,50,000

(d) Rs.1,60,000

(e) Rs.1,80,000

**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.**

(a) 24,700

(b) 25,000

(c) 25,400

(d) 24,200

(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.**

(a) Rs.47,750

(b) Rs.44,500

(c) Rs.41,500

(d) Rs.45,750

(e) Rs.48,750

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