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**Que 1:** The average of the first 100 positive integers is

**Que 2: **Two natural numbers are in the ratio 3:5 and their product is 2160. The smaller of the numbers is

**Que 3:** By selling an article, a man makes a profit of 25% of its selling price. His profit per cent is

**Que 4: **The ninth term of the sequence 0, 3, 8, 15, 24, 35, is

**Que 5: **If the ratio of cost price and selling price of an article be as 10:11, the percentage of profit is

**Que 6: **By what least number should 675 be multiplied so as to obtain a perfect cube number ?

**Que 7: **The number 0. 121212…. in the P form p/q is equal to

**Que 8:** The square root of 0.09 is

**Que 9:** The H.C.F. and L.C.M. of, two numbers are 8 and 48 respectively. If one of the numbers is 24, then the other number is

**Que 10: **The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is

**Que 11: **A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally how many apples he had?

**Que 12:** When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?

**Que 13: **A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. what is the distance that he travelled on foot?

**Que 14: **A, B, and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

**Que 15: **The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

**Que 16: **If a: b = 7: 5, b: c = 9: 11, find a: b: c?

**Que 17:** Four dice are thrown simultaneously. Find the probability that all of them show the same face.

**Que 18:** A man bought some toys at the rate of 10 for Rs. 40 and sold them at 8 for Rs. 35. Find his gain or loss percent.

**Que 19:** A discount of 15% on one article is the same as a discount of 20% on a second article. What will be the costs of the two articles?

**Que 20:** A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, What amount will be received by A?

**Que 21:** n what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

**Que 22: **A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?

**Que 23: **Calculate the area of a triangle with a base of 2 cm. and a height of 8 cm.

**Que 24:** In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A).

**Que 25:** Find the compound interest on a principal amount of Rs.5000 after 2 years, if the rate of interest for the 1st year is 2% and for the 2nd year is 4%.

**Answers -**

1) 50.5

2) 36

3) 33.33

4) 48

5) 10

6) 5

7) 4/33

8) 0.30

9) 16

10) 4714

11)700 apples

12) 7

13) 16 km

14) 15 days

15) 85 kg

16) 63: 45: 55

17) 1/216

18) 9.375%

19) Rs. 80 and Rs. 60

20) Rs. 14,700

21) 7 : 3

22) 1 : 5

23) 8cm²

24) sin(A) = a / h = 3k / 5k = 3/5 and cos(A) = 4k / 5k = 4/5

25) Rs.304

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