1. Which one of the following is the greatest? a) 1/8 b) 2/12 c) 3/16 d) 4/20 2. The sum of two numbers is 14 and their difference is 10.Find the product of the two numbers. 3. If one-eighth of a pencil is black, half of the remaining is yellow and the remaining 3 ½ cm is blue, then the total length of the pencil is: a) 6cm b) 7cm c) 8cm d) 11cm 4. If the mean of numbers 28, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 511, 1023 and x? a) 395 b) 275 c) 355 d) 415 e) 365 5. Given x=3 and y =-3, calculate 3x÷ y, 4x2y÷2xy2 6. Simplify (x+2)(x-1) 7. Solve 84÷83 8. $360 is divided in the ratio 5:4:3, what is the difference between the smallest and the largest part? 9. It takes 4 women 10 hours to clean an office. How many women would be needed to clean in 8 hours? 10. 350g:1.4kg 11. In a certain shop, 9 oranges cost as much as 5 apples, 5 apples cost as much as 3 mangoes, 4 mangoes cost, as much as 9 lemons. If 3 lemons cost 48 paisa, the price of an orange is: a) 12 paisa b) 14 paisa c) 13 paisa d) 15 paisa 12. Write the next three numbers in the sequence 5, 7, 11, 17, 25, ... 13. 7! 14. How many triangles can be formed with four points (A,B,C&D) in a plane? It is given that no three points are collinear. From the three points A, B and C have only one triangle with these points. 15. How many number plates of 3 digits can be formed with four digits 1,2,3 and 4? 16. You are going to draw 4 cards from a standard deck of 52 cards. How many different 4 card hands are possible? 17. A teacher has 15 students and 5 are to be chosen to give demonstrations. How many different ways can the teacher choose the demonstrators? 18. In how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat? 19. In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? 20. A man covers a certain distance between his house and office on scooter. Having an average speed of 30 km/hr, he is late by 10 min. However, with a speed of 40km/hr, he reaches his offices 5 min earlier. Find the distance between his house and office. 21. Two trains 121 meters and 99 meters in Length respectively are running in opposite directions, one at the rate of 40 km and the other at the rate of 32 km an hour. In what time will they be completed clear of each other from the moment they meet? 22. A man can row 6km/hr in still water. It takes him twice as long to row up as to row down to river. Find the rate of the stream. 23. What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%? a) 0% b) 20% increase c) 20% decrease d) 1% decrease 24. Due to fall in manpower by 25%, the production in a factory decreases. By what percent should the working hour be increased to restore the original production? 25. If the price of a commodity be raised by 20%, find by how much per cent must a householder reduce his consumption of that commodity so as not to increase his expenditure 26. A sells a good to B at a profit of 20% and B sells it to C at a profit of 25%. If C pays Rs 225 for it, what was the cost price for A? 27. The cost price of 10 Articles is equal to the selling price of 9 articles. Find the profit percent?