8thSquareROOT.docx - IIT-JEE AIPMT Engineer Your Education...

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IIT-JEE/ AIPMT Engineer Your Education to Success with a Group Exclusive of NITIANS MATHEMATICS TEST-1 Max. Marks: 50 TOPIC-SQUARE AND SQUARE ROOT CUBE AND CUBE ROOT Q1. Which of the following is a Pythagorean triplet? [2marks] (a) (2, 3, 5) (b) (5, 7, 9) (c) (6, 9, 11) (d) (8, 15, 17) Q2. Find unit digits of cube root of following numbers [4marks] (a) 226981 (b)13824 (c) 571787 (d)175616 Q3. Simplify: (any4) [8marks] (a) 144 x 169 (b) 333 2 12321 (c) 0.0729 (d) 3 614125 (e) 3 250047 Q4. Do as directed: [10marks] a) Find √0.9 × √1.6 b) Simplify 4 57 196 c) Find the prime factorisation of 175616. d) If ( 2744 ) 1/3 = 2p + 2 , then find the value of p. e) If 3 x y = 3 4 find the value of x y Q5. Evaluate √5329 using long-division method. [3marks] Q6. Anubhav makes a cuboid of plasticine of sides 5 cm, 3 cm, 5 cm. How many such cuboids will he need to form a cube? [3marks] Q7. a) Without finding the squares find 101 2 -100 2 ? [5marks] b) Without finding the cubes find 21 3 + 20 3 ? Q8. In an auditorium, the number of rows is equal to the number of chairs in each row. If the capacity
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