**Q1. The number obtained by interchanging the digits of a two-digit number is less than the original number by 63. If the sum of the digits of the number is 11, what is the original number?**

(a) 29

(b) 92

(c) 74

(d) Cannot be determined

**Q2. The respective ratio between the present ages of Ram and Rakesh is 6: 11. Four years ago, the ratio of the ages was 1: 2 respectively. What will be Rakeshâ€™s age after five years?**

(a) 45 years

(b) 29 years

(c) 49 years

(d) Cannot be determined

**Q3. The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. Find that number of three digits.**

(a) 161

(b) 171

(c) 181

(d) 191

**Q4. What is the least number to be added to 2000 to make it a perfect square?**

(a) 25

(b) 64

(c) 36

(d) 49

**Q5. If the square of a number is subtracted from 4052 and the difference is multiplied by 15, the answer so obtained is 41340. What is the number?**

(a) 36

(b) 1024

(c) 32

(d) 1296

**Q6. Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?**

(a) 27

(b) 36

(c) 43

(d) 400

**Q7. A person lent Rs. 5,000 partly at the rate of 4 percent and partly at the rate of 5 per cent per annum, at simple interest. The total interest after 2 years is Rs. 440. The sum of money lent at each of the above rates is to be divided in the ratio: **

(a) 4: 5

(b) 3: 2

(c) 5: 4

(d) 2: 3

**Q8. The simple interest on a sum after 4 years is 1/5 of the sum. The rate of interest per annum is: **

(a) 4%

(b) 5%

(c) 6%

(d) 8%

**Q9. A lends Rs. 2500 to B and a certain sum to C at the same time at 7% annual simple interest. If after 4 years A received interest of Rs. 1120 from B and C, the sum lent to C is- **

(a) Rs. 700

(b) Rs. 6500

(c) Rs. 40000

(d) Rs. 1500

**Q10. A man loses Rs. 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is –**

(a) 3700

(b) 7400

(c) 8325

(d) 1110

**Q11. A sum of Rs. 1000 is lent out partly at 6% and the remaining at 10% per annum. If the yearly income on the average is 9.2%. the both parts respectively are: **

(a) Rs. 400, Rs. 600

(b) Rs. 400, Rs. 600

(c) Rs. 200, Rs. 800

(d) Rs. 550, Rs. 450

**Q12. A man took a loan from a bank at the rate of 12% per annum at simple interest. After 3 years he had to pay Rs. 5400 as interest only for that period. The Principal amount borrowed by him was: **

(a) Rs. 2000

(b) Rs. 10,000

(c) Rs. 20,000

(d) Rs. 15,000

**Q13. Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest for two years. If his total interest was Rs. 760, what amount was lent in each case?**

(a) Rs. 1700

(b) Rs. 1800

(c) Rs. 1900

(d) Rs. 2000

**Q14. A certain sum of money becomes three times of itself in 20 years at simple interest. In how many years does it become double of itself at the same rate of simple interest?**

(a) 8 years

(b) 10 years

(c) 12 years

(d) 14 years

**Q15. A sum of Rs. 1500 is lent out in two parts in such a way that the simple interest on one part at 10% per annum for 5 years is equal to that on another part at 12.5% per annum 4 years. The sum lent out at 12.5% is: **

(a) Rs. 500

(b) Rs. 1000

(c) Rs. 750

(d) Rs. 1250