Question
A cuboid has a breadth of 5 cm, and the combined total
of its length and height is 23 cm. If the volume of the cuboid is 600 cm³, calculate the percentage by which the length exceeds the height. (Note: The length of the cuboid is greater than its height.)Solution
Let the length of the cuboid be ‘x’ cm Therefore, height of the cuboid = (23 – x) cm According to the question, 5 × x(23 – x) = 600 Or, x(23 – x) = 120 Or, x2 – 23x + 120 = 0 Or, x2 – 15x – 8x + 120 = 0 Or, x(x – 15) – 8(x – 15) = 0 Or, (x – 15)(x – 8) = 0 Or, x = 15, 8 Length of the cuboid = 15 cm then height of the cuboid = 23 – 15 = 8 cm Required percentage = (15 – 8)/8 × 100 = 87.5% Hence, option e.
If ‘L * N @ O × P % O × M @ Q’ is true then how is Q related to O if Q is female?
'A # B' means 'A is the mother of B'. 'A & B' means 'A is the spouse of B'. 'A % B' means 'A is the sister-in-law of B'. If F # E, D & F, B % F, A & C #...
'A # B' means 'A is the father of B'. 'A @ B' means 'A is the son of B'. 'A & B' means 'A is the wife of B'. 'A % B' means 'A is the sister of B'. If U ...
A + B means ‘A is the father of B’; A - B means 'A is the wife of B', A × B means 'A is son of B', A ÷ B means ‘A is the daughter of B’. If W ...
If A # B means ‘A is the father of B’, A $ B means ‘A is the brother of B’, A % B means ‘A is the son of B’, A & B means ‘A is the sister ...
If ' S # F % G, R $ N $ G, H % N, P $ S % T' is true, then which among the following statement/statements is/are correct?
Statements:
I...
If A # B means A is brother of B,
A @ B means A is mother of B
A $ B means A is father of B
A & B means A is sister of B.
In...
If ‘R @ S × T ÷ U × V’ is true then how is S related to V?
‘M $ K’ means ‘M is the mother of K’.
‘M # K’ means ‘M is the father of K’.
‘M @ K’ means ‘M is the husband of K’....
Which of the following statement is correct?
I. P is father of B
II. L is father-in-law of P
III. T is son of U
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