Page 49 - Concepts of Reasoning-8

Worksheet-8.2

Miscellaneous

1. Put a tick ( ) for the linear equations and put ( ) for other among the following algebraic
expressions.
a. 3a + 4b – 9c = 0 b. pq + qr + rp = 8

2
c. x – 5x + 6 = 0 d. 5x – 4y = 9
e. 4x + 6

2. A number is multiplied by 4, 5 is added to it, the sum is divided by 11 and the result is equal to 7. Find
the number.
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3. 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the
difference is divided by 8, then the result is equal to 10. Find the number.
_______________________________________________________________________________
4. Half is subtracted from a number and the difference is multiplied by 4. If 28 is added to the product
and the sum is divided by 3, then the result is equal to 10. Find the number.

_______________________________________________________________________________

5. One number is 3 less than two times the other. If their sum is increased by 7, the result is 37. Find the
number.
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6. The numerator of a fraction is 7 less than the denominator. If two is added to both numerator and
3
denominator, then it becomes . Find the original fraction.
10
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7. Five years ago, the age of a father was twice the age of his son. The sum of their present ages is 70
years. Find their present ages.
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8. The ages of two sisters are in the ratio 5 : 7. Six years later, the sum of their ages will be 72 years. Find
their present ages.

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9. Find the measures of interior angles of a triangle given by the equations 3x + 15, 6x – 10 and 8x + 5
respectively.
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10. The length of a rectangular field is 8 meters less than twice its breadth. If the perimeter of the
rectangular field is 80 meters, find its length and breadth.
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49 Reasoning - 8