SECTION-B [2×6=12] Solve the following questions: 21. Write all rational numbers whose absolute value is 45. 22. If the product of two rational numbers is -916 and one of them is -415, find the other number. 23. Evaluate: 182.3+12.65-0.23-10.71. 24. The sum of two numbers is 99. If one of the numbers exceeds the other by 9, find the numbers. OR One–fifth of a number minus 4 gives 3. Find the number. 25. In the given figure, find ∠A and ∠ACB.

26. The mean of 6 observations is 30. If one number is excluded, their mean is 28. Find the excluded observation. OR The mean of three numbers is 40. Two numbers are 32 and 54. Find the third number. SECTION-C [3×8=24]

27. Arrange the following in ascending order. -310 , 17-30 , 7-15

28. Verify: x + y = y + x for x = 5 and y = 32. OR By taking x= -53, y= 27 verify that: x-y≠(y-x)

29. At what rate per cent will a sum double itself in 5 years? OR Find the amount received on Rs. 4000 for 2 years at the rate of 11% per annum?

30. X is 20% more than Y. Y is 25% more than Z. If Z is 1500, find X.

31. If 6t-33 = t+15 , then find the value of t.

32. A number when multiplied by 5 exceeds itself by 48. Find the number

33. The hypotenuse of a right triangle is 17 cm long. If one of the remaining two sides is of length 8 cm, find the length of third side.

34. ABC is an isosceles right-angled triangle, right angled at C. Prove that (AB)2 = 2 (AC)2 OR In the given right-angled triangle ABC, ∠B = 90°. Find the value of x.

SECTION-D [4×6=24]

35. Divide the sum of 139 and 113 by the product of -116 and 25.

36. Simplify and express the result as pq form in its lowest forms. 15 × 0.03125 + 38 - 720 OR Simplify and express the result as decimal. 25-14+(8.1×2.7)÷0.09

37. In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed. OR Mr. Mehta borrowed a sum of money at 8% per annum. If he paid Rs.640 as interest after 513 years (5 years 4 months), find the sum borrowed by him.

38. A father is 4 times as old as his son. 5 years ago he was 7 times as old as his son was. Find the present age of the son.

39. In the given figure, AD is the bisector of ∠ BAC. Find the measures of angles x, y, z and w.

40. The mean of 50 observations was 170. It was detected on rechecking that the value 135 was wrongly copied as 185 for computation of mean. Find the correct mean.