#### 1. At 8:30 a.m. the angle between the minute and hour hands is ______degrees.

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#### 2. How many times will the digit 5 come in counting from 1 to 99, excluding those numbers which are divisible by 3?

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#### 3. In a certain year, a school had 60% boys and 40% girls as students. In the next five years, the number of boys decreased by 10% and the number of girls increased by 10%. What is the change in total roll strength of the school in the five years?

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#### 4. The sum of two positive integers is 52 and their LCM is 168. What is the ratio between the numbers?

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#### 5. Out of 15 points in a plane, n points are in the same straight line. 445 triangles can be formed by joining these points. What is the value of n?

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#### 6. A cyclist moves non stop from A to B, a distance of 14 km, at a certain average speed. If his average speed reduces by 1km per hour, he takes 20 minutes more to cover the same distance. The original average speed of the cyclist is _____.

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#### 7. If a sum of money at a certain rate of simple interest per year doubles in five years and at a different rate of simple interest per year becomes three times in 12 years, then the difference in the two rates of simple interest per year is _____.

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#### 8. A bike consumes 20 mL of petrol per kilometre, if it is driven at a speed in the range of 25 to 50 kmph and consumes 40 mL of petrol per kilometre at any other speed. How much petrol is consumed by the bike in travelling a distance of 50 km, if the bike is driven at a speed of 40 kmph for the first 10 km, at a speed of 60 kmph for the next 30 km and at a speed of 30 kmph for the last 10 km?

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#### 9. There is an order of 19000 quantity of a particular product from a customer. The firm produces 1000 quantity of that product per out of which 5% are unfit for sale. In how many days will the order be completed?

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#### 10. There are some nectar filled flowers on a tree and some bees are hovering on it. If one bee lands on each flower, one bee will be left out. If two bees land on each flower, one flower will be left out. The number of flowers is _____.

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#### 11. A class starts at 11:00 a.m and lasts till 2:27 p.m. Four periods of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of each period is _____.

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#### 12. 30 grams of sugar was mixed in 180 ml water in a vessel A. 40 grams of sugar was mixed in 280 ml of water in vessel B and 20 grams of sugar was mixed in 100 ml of water in vessel C. The solution in vessel B is _____.

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#### 13. In aid of charity, every student in a class contributes as many rupees as the number of student s in that class. With the additional contribution of Rs 2 by one student only, the total collection is Rs 443. How many students are there in the class?

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#### 14. Anita’s mathematics test had 70 problems carrying equal marks i.e 10 arithmetic, 30 algebra and 30 geometry. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% marks. The number of more questions she would have to answer correctly to earn a 60% passing marks is ____.

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#### 15. In a soap company, a soap is manufactured with 11 parts. For making one soap you will get 1 part as scrap.How many soaps can be manufactured from 251 such scraps?

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#### 16. If a light beam is fired through the top left corner of a 2 by 3 rectangular prism block at a 45 degrees towards the opposite wall, it will emerge from the top right corner B.

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#### 17. The value of g is ____.

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#### 18. The value of d is ____.

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#### 19. ‘387924, ______, 3724, 423, 32, 2’. Which number is missing?

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#### 20. The smallest number of ducks that could swim in this formation – two ducks in front of a duck, two ducks behind a duck and a duck between two ducks is______.

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#### 21. Which fruit does E eat on Friday?

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#### 22. Who eats pomegranate on Wednesday?

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#### 23. On which day does D eat watermelon?

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#### 24. Which of the following combinations is definitely true?

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#### 25. Which of the following combinations is definitely false?

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Practices paper V(Arithmetic and Reasoning)

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