1. What is the largest number that divides 245 and 1029 , leaving remainder 5 in each case? (a) 16 (b) 16 (c) 19 (d) 5 2. If p is a prime number and p divides a2(a is a positive integer),then which of the following is true: (a) p does not divide a (b) p divides a (c) p2 divides a (d) p divides a 3. If ax + by = a2 – b2 and bx + ay = 0,then value of (x +y) is : (a) a2 – b2 (b) b -a (c) a-b (d) a2 + b2 4. The pair of equation y = 0 and y = -5 has (a) one solution (b) two solution (c) infinitely many solution (d) No solution 5. The length of the diagonal of rhombus are 24cm and 32 cm . The length of the altitude of the rhombus in cm is : (a) 12 (b) 12.8 (c) 19 (d) 19.2 6. Sin 200 Cos 700 + Cos 200 Sin 700 is (a) 2 (b) 1 (c) 0 (d) 2 7. If tan + cot = 2 then tan2 + cot2 is (a) 4 (b) 6 (c) 2 (d) 1 8. If “less than” type and “more than type” of Ogive intersect each other at (20.5,15.5), than the median of the given data is : (a) 36.0 (b) 20.0 (c) 15.5 (d) 5.5
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