Page 43 - Concepts of Reasoning-8

Worksheet-6.4

Miscellaneous

1. Match the identity to be used to solve the problems in group A.
Group A Identity

2
a. (x – 5) ( 5 + x) (a – b) a2 – b 2
2
2
b. (9x + 12y) (x + a) (x + b) x + (a + b)x + ab
2
2
c. (d + 12) (d– 6) (a + b) a – 2ab + b 2
k l 2 2 2
d. – (a + b) (a – b) a + 2ab + b
2 3
2. Find the missing expressions for the following division problems :
2
2
a. Dividend = 14k l8z ; Divisor = 2klz; Quotient = __________ ; Remainder = __________
6
8
2
5
3
7
b. Dividend = 12x – 18x + 6x – 30x; Divisor = __________ ; Quotient = 4x – 6x + 2x – 10;
Remainder = 0
2
c. Dividend = 2x + 7x – 27; Divisor = x + 6; Quotient = __________ ; Remainder = _________
2
3
d. Dividend = 12x – 7x – 7x + 10; Divisor = x – 1; Quotient = __________ ; Remainder =
__________
2
4
3
e. Dividend = __________ ; Divisor = x – 6; Quotient = 30x – 50x + 18x – 30;
3. The dimensions of the aquarium are as shown in the figure. Find the volume of the fish tank.

x – 3 units

3x – 5 units
2x + 2 units
_______________________________________________________________________________

4. The top surface of a table is in the shape of a rectangle whose length is (9x + 6) inches and breadth is
2
(x –2) inches. Find the area of the top surface of the table.
_______________________________________________________________________________
5. What is the area of the square whose side is 16 + 3x?

_______________________________________________________________________________
6. What is the quotient obtained when the product of three consecutive odd numbers is divided by x?
(Hind : Let the first odd number be x)
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43 Reasoning - 8