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.
 Select the option that best conveys the original sentence's meaning and in a grammatically correct way.
 The artist's latest work...
Select the correct passive form of the given sentence.
The authorities are planning to lift restrictions on the movement of people in the Valle...
Select the option that expresses the given sentence in reported speech.
"Be careful while crossing the road," the mother told her child.
...You must pay the fees _____a week
Select the correctly punctuated sentence from the options below.
 It takes me one hour to get to work in the morning in week day
 Select the most appropriate word for the given group of words.
A dome-shaped shelter built from blocks of solid snow used by Eskimos
I had a hard time paying the driver as I had only hundreds rupee note.Â
S1: One of the ironies of the Indian economy's consistent under-performance is that it has been planned.
S6: As planning prospered, regional imba...
Most of the work of this NGO are of little benefit to the disadvantaged.
Relevant for Exams:
