**1. The ages of Anjali and Renu are in the ratio of 6 : 7 respectively. After 6 years, the ratio of their ages will be 15 : 17. What is the age of Renu ? (In years)**

1) 28

2) 24

3) 32

4) 42

5) None of these

**2. If the length and breadth of a rectangle are changed by +20% and –10% respectively. What is the % change in area of rectangle ?**

1) 8% decrease

2) 12 % increase

3) 8 % increase

4) 4 % increase

5) None of these

**3. Ram purchased a computer for Rs. 47000. He had to sell it for Rs. 45800. Find his loss % ?**

1) 3 %

2) 4 13/29 %

3) 2 4/9 %

4) 2 26/47%

5) None of these

**4. A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days can B alone complete the same piece of work ?**

1) 18

2) 16

3) 22

4) 17

5) None of these

**5. The compound interest on Rs. 10000 at 20 % p.a. in 4 years is ? (In Rs)**

1) Rs. 7280

2) Rs. 10736

3) Rs. 20736

4) Rs. 14142

5) None of these

**6. Rs. 12000 amounts to Rs. 20736 in 3 years at r % p.a. of compound interest. What is the value of r ?**

1) 20 %

2) 12 %

3) 25 %

4) 18 %

5) None of these

**7. In how many different ways can the letters of the word 'MIRACLE' be arranged ?**

1) 40320

2) 5040

3) 7080

4) 720

5) None of these

**8. In an election between two candidates one got 72% of total valid votes. 25% of the total votes are invalid. If the total votes are 8200, what is the number of valid votes the other candidate got ?**

1) 2050

2) 1876

3) 4324

4) 1722

5) None of these

**9. Shweta when increases her speed from 25 km/hr to 30 km/hr. She takes one hours less than the usual time to cover a**

**certain distance. What is the distance usually covered by Shweta ? (in km)**

1) 150 km

2) 120 km

3) 90 km

4) 180 km

5) None of these

**10. The sphere has the same curved surface as a cone of slant height 16 cm and base radius 4 cm. Find the radius in cm ?**

1) 4

2) 6

3) 12

4) 10

5) None of these

1. 1

(6x + 6)/(7x + 6) = 15/17

2. 3

1 * b = Area

1 * 1 = 1

After changes, 1.2 * 0.9 = 1.08

There is 8% increase in the area.

3. 4

Loss% = (47000 - 45800)/47000 * 100

4. 5

Req no. of days - 1/ (1/8 - 1/12)

5. 2

Req CI = 10000 * (1.2)^4 - 10000

10000 * (2.0736 - 1)

6. 1

(20736/12000) = (1 + R/100)^3

7. 2

Required = 7P7

8. 4

No. of valid votes other candidate got = (100 - 72)/100 * (8200 - 8200*25/100)

9. 1

25 * t = 30 * (t-1) = Distance

10. 1

4 * 22/7 * r^2 = 22/7 * 4 * 16

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