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 =... View Article
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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... 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... 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... 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... 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... 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... 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 –... 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... 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... 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... 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... 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,... View Article
Devangi travels 50 m distance in 75 steps, then the distance travelled in 375 steps is _______ km.
Answer: Devangi travels 50 m distance in 75 steps, then the distance travelled in 375 steps is 0.25km. Distance travelled... View Article
If 45 persons can complete a work in 20 days, then the time taken by 75 persons will be ______ hours.
Answer: If 45 persons can complete a work in 20 days, then the time taken by 75 persons will be... View Article
If the area occupied by 15 postal stamps is 60 cm2, then the area occupied by 120 such postal stamps will be _______.
Answer: If the area occupied by 15 postal stamps is 60 cm2, then the area occupied by 120 such postal... View Article
In case of inverse proportion____________
Answer: In case of inverse proportion, a2/a1= b2/b1 Inverse Proportion The value is said to inversely proportional when one value... View Article
In direct proportion_____________
Answer: In direct proportion, a1/b1 = a2/b2 a1/b1 = a2/b2 = k Direct Proportion Two quantities a and b are... View Article
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is _______.
Answer: If x varies inversely as y and x = 4 when y = 6, then when x = 3... View Article
If the thickness of a pile of 12 cardboard sheets is 45 mm, then the thickness of a pile of 240 sheets is _______ cm.
Answer: If the thickness of a pile of 12 cardboard sheets is 45 mm, then the thickness of a pile... View Article
