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The solution of the equation 3x + 7 = – 20 is(a) 17/7 (b) -9 (c) 9 (d) 13/3

Answer: (b) -9 Consider the given equation 3x + 7 = – 20 Transpose - The process of moving a term from one side of the equation to the... View Article

If 7x + 4 = 25, then x is equal to(a) 29/7 (b) 100/7 (c) 2 (d) 3

Answer: (d) 3 Consider the given equation 7x + 4 = 25 Transpose - The process of moving a term from one side of the equation to the other side is... View Article

The equation which cannot be solved in integers is(a) 5y – 3 = – 18 (b) 3x – 9 = 0(c) 3z + 8 = 3 + z (d) 9y + 8 = 4y – 7

Answer: (c) 3z + 8 = 3 + z Consider Option (a) 5y – 3 = – 18 5y = -18 + 3 5y = - 15 y = -15/5 y = -3 (Integer) Option (b) 3x –... View Article

The solution of which of the following equations is neither a fraction nor an integer? (a) 2x + 6 = 0 (b) 3x – 5 = 0(c) 5x – 8 = x + 4 (d) 4x + 7 = x + 2

Answer: (d) 4x + 7 = x + 2 Option (a) 2x + 6 = 0 2x = -6 x = -6/2 x = -3 (Integer) Option (b) 3x – 5 = 0 3x = 5 x = 5/3 (Fraction) Option... View Article

Which of the following is not allowed in a given equation?(a) Adding the same number to both sides of the equation.(b) Subtracting the same number from both sides of the equation.(c) Multiplying both sides of the equation by the same non-zero number.(d) Dividing both sides of the equation by the same number.

Answer: (d) Dividing both sides of the equation by the same number. In a given equation, both sides of the equation can be divided by the same... View Article

If a and b are positive integers, then the solution of the equation ax = b will always be a(a) positive number (b) negative number (c) 1 (d) 0

Answer: (a) positive number Simple equation - A mathematical equation that represents the relationship of two expressions on either side of the... View Article

The solution of the equation ax + b = 0 is(a) a/b (b) –b (c) –b/a (d) b/a

Answer: (c) –b/a Simple equation - A mathematical equation that represents the relationship of two expressions on either side of the sign.... View Article

If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion. State whether the statement is true (T) or false (F).

Answer: If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion. - False x and y are in direct... View Article

If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m. State whether the statement is true (T) or false (F).

Answer: If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m. -... View Article

If d varies directly as t²., then we can write dt² = k, where k is some constant. State whether the statement is true (T) or false (F).

Answer: If d varies directly as t2, then we can write dt2 = k, where k is some constant - False We can write dt2 = k, where k is some constant if... View Article

Length of a side of an equilateral triangle and its perimeter vary inversely with each other. State whether the statement is true (T) or false (F).

Answer: The length of a side of an equilateral triangle and its perimeter vary inversely with each other. - False In geometry, an equilateral... View Article

Length of a side of a square and its area vary directly with each other. State whether the statement is true (T) or false (F).

Answer: Length of a side of a square and its area vary directly with each other. - False A square is a two-dimensional plane figure with four... View Article

When the distance is kept fixed, speed and time vary directly with each other. State whether the statement is true (T) or false (F).

Answer: When the distance is kept fixed, speed and time vary directly with each other. - False When the distance is kept fixed, speed and time... View Article

When the speed is kept fixed, time and distance vary inversely with each other. State whether the statement is true (T) or false (F).

Answer: When the speed is kept fixed, time and distance vary inversely with each other. - False When the speed is kept fixed, time and distance... View Article

Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k. State whether the statement is true (T) or false (F).

Answer: Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k. - Flase In direct proportion,... View Article

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