Q1. Ram can do a job in 12 days alone and Shyam can do the same job in 15 days alone. A third person Ravi whose efficiency is two-third of efficiency of both Ram and Shyam together, can do the same job in how many days alone?

(a) 12 days

(b) 10 days

(c) 8 days

(d) 16 days

(e) 18 days

Q2. The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the difference of numbers?

(a) 28

(b) 26

(c) 24

(d) 22

(e) 32

Q3. The average age of Rinku and Ridipta is 18 years. When Rita replaces Ridipta, the average age is increased by 1 and when Ridipta replaces Rinku the average age becomes 17 years. What is the age of Rita?

(a) 20 years

(b) 18 years

(c) 16 years

(d) 22 years

(e) 24 days

Q4. How many four digits numbers greater than 5000 can be made using the digits 0, 2, 3, 5 together with repetition.

(a) 56

(b) 63

(c) 72

(d) 60

(e) 120

Q5. The inner and outer radii of a spherical shell are 14 cm and 20 cm respectively. Find the volume of shell. (in (cm)^3)

(a) 7010 π

(b) 7008 π

(c) 8007 π

(d) 7012 π

(e) None of these

**Solutions (1-5):**

Q6. The ratio of speeds of a train and an aero plane is 5 : 54. Aero plane covers a distance of 1620 km in 3 hours. How many distance train will cover in 7 hours?

(a) 340 km

(b) 345 km

(c) 360 km

(d) 350 km

(e) 380 km

Q7. The average of five consecutive even numbers is 28. What is difference between squares of largest number and second smallest number?

(a) 340

(b) 345

(c) 348

(d) 350

(e) 380

Q8. What is the probability of choosing three pink balls out of 5 pink and 4 red balls?

(a) 11/42

(b) 5/42

(c) 37/42

(d) 1/6

(e) 7/9

Q9. A person has a total sum Rs. 16,650. He invests some part of this amount in scheme A at a rate of 10% for two years and rest part in scheme B at a rate of 20% for two years. The simple interest earned from both the scheme are equal. How much sum he invested in scheme B?

(a) Rs. 5,650

(b) Rs. 6,550

(c) Rs. 6,650

(d) Rs. 5,550

(e) Rs. 7,450

Q10. Udita purchased a hand bag in Rs. 2,520. Later she felt that she had given 5% extra of the actual price of hand bag. Find the actual price of hand bag.

(a) Rs.2,646

(b) Rs. 2,500

(c) Rs. 2,400

(d) Rs. 2,450

(e) Rs. 2,550

**Solutions (6-10):**

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