Name: Roll No.: Date: 1. Find the L.C.M. of x²-5x+6, x²-4x+3 and x²-3x+2 2. Find the H.C.F of: 8x³+4x²+2x, 16x4 + 4x² + 1 and 8x³ + 1 X-2 16 3. Simplify: X+2 x²+2x+4 + x²-2x+4 x4+4x²+16 4. In a survey of a class, two third students like only milk and 14 don't like milk at all. Also 1/4 students like tea and 5 like non-of them. With the help of Venn-diagram, find the total number of students and the number of students who like both drinks. 5. In a survey of 100 people, 45 read Kantipur, 40 read Rajdhani, 30 read Himalayan Times, 15 read Kantipur as well as Rajdhani, 18 read Rajdhani as well as Himalayan Times, 17 read Kantipur as well as Himalayan Times and 8 read all three newspapers. Draw a Venn-diagram to illustrate above information. How many people do not read any of the newspapers? 6. You have imported a Japanese bike costing Rs 180000 yen in Nepal by paying a transportation charge 10 % and custom duty charge 150 % separately. If the bike is sold at a profit of 30%, what will be the selling price in Nepali? Given that 10 Yen= Rs 9. 7. After allowing 25% discount on the marked price and levying 15% VAT, an article was sold. If the discount amount is Rs. 1000, find the selling price of the article including VAT. 8. Prove that parallelogram ABCD and rectangle ABXY on the same base AB and in between the same parallel lines AB and MN are equal in area. 9. Prove that the area of triangle ABE is half of the area of parallelogram ABCD standing on the same base AB and between the same parallel lines AB and DE. 10. Prove that the triangles PQR and SQR standing on the same base QR and between the same parallels PS and QR are equal in area. Construct a quadrilateral ABCD having the measurements AB-BC-5.5cm, CD-AD-4.5cm ABCD

A straw is wedged in a box, from one corner of the bottom to the opposite corner of the top of the box.  The box is 3 inches by 4 inches by 12 inches.  How long is the straw?

find he unit rate for 2 blouses for 118

(15 - 9 times 2/3) divided by 2

A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.     What is the Diameter of the hula-hoop?   You got an extra large hula-hoop that has a diameter twice the length of the small hula-hoop.     How far would it go if you got it to roll exactly 8 times?   show work